From 8fceea8b179926c390528874d3c4db62231f4ae3 Mon Sep 17 00:00:00 2001 From: PeterLuschny Date: Fri, 24 Nov 2023 19:38:51 +0100 Subject: [PATCH] binm --- README.md | 3 +- data/md/Abel.md | 275 +- data/md/Baxter.md | 198 +- data/md/Bell.md | 202 +- data/md/Bessel.md | 273 +- data/md/Bessel2.md | 195 +- data/md/BinaryPell.md | 269 +- data/md/Binomial.md | 193 +- data/md/BinomialBell.md | 271 +- data/md/BinomialCatalan.md | 205 +- data/md/BinomialMinus.md | 160 ++ data/md/BinomialMinus.tbl.md | 366 +++ data/md/Catalan.md | 275 +- data/md/CatalanAer.md | 262 +- data/md/CatalanSqr.md | 278 +- data/md/CentralCycle.md | 190 +- data/md/CentralSet.md | 268 +- data/md/ChebyshevS.md | 264 +- data/md/ChebyshevT.md | 179 +- data/md/ChebyshevU.md | 195 +- data/md/ChristTree.md | 180 +- data/md/Composition.md | 272 +- data/md/CompositionMax.md | 195 +- data/md/Delannoy.md | 198 +- data/md/Divisibility.md | 240 +- data/md/Euclid.md | 44 +- data/md/Euler.md | 286 +- data/md/EulerSec.md | 263 +- data/md/EulerTan.md | 192 +- data/md/Eulerian.md | 196 +- data/md/Eulerian2.md | 195 +- data/md/EulerianB.md | 198 +- data/md/FallingFact.md | 198 +- data/md/Fibonacci.md | 208 +- data/md/Fubini.md | 190 +- data/md/FussCatalan.md | 195 +- data/md/Gaussq2.md | 198 +- data/md/Genocchi.md | 202 +- data/md/Harmonic.md | 275 +- data/md/HermiteE.md | 264 +- data/md/HermiteH.md | 195 +- data/md/LabeledGraphs.md | 200 +- data/md/Laguerre.md | 286 +- data/md/Lah.md | 275 +- data/md/Lehmer.md | 272 +- data/md/Leibniz.md | 42 +- data/md/Levin.md | 42 +- data/md/Lozanic.md | 198 +- data/md/MoebiusMat.md | 239 +- data/md/Motzkin.md | 195 +- data/md/MotzkinGF.md | 282 +- data/md/Narayana.md | 268 +- data/md/Naturals.md | 202 +- data/md/Nicomachus.md | 197 +- data/md/One.md | 190 +- data/md/OrderedCycle.md | 200 +- data/md/Ordinals.md | 195 +- data/md/Partition.md | 272 +- data/md/PartitionDist.md | 200 +- data/md/PartitionMax.md | 195 +- data/md/Polygonal.md | 195 +- data/md/PowLaguerre.md | 42 +- data/md/Rencontres.md | 268 +- data/md/RisingFact.md | 322 +-- data/md/RisingFact.tbl.md | 600 ++-- data/md/Schroeder.md | 271 +- data/md/SchroederL.md | 282 +- data/md/SchroederP.md | 279 +- data/md/Seidel.md | 195 +- data/md/SeidelBoust.md | 200 +- data/md/Sierpinski.md | 184 +- data/md/StirlingCyc.md | 268 +- data/md/StirlingCyc2.md | 190 +- data/md/StirlingCycB.md | 282 +- data/md/StirlingSet.md | 268 +- data/md/StirlingSet2.md | 190 +- data/md/StirlingSetB.md | 282 +- data/md/Sylvester.md | 202 +- data/md/SymPoly.md | 279 +- data/md/TernaryTrees.md | 195 +- data/md/WardSet.md | 195 +- data/md/Worpitzky.md | 198 +- data/md/Zarankiewicz.md | 207 +- src/BinomialMinus.py | 39 + src/{_statictics.txt => _oldstatistics.txt} | 38 +- src/_statistics.txt | 899 ++++++ src/_tabldata.py | 29 +- src/_tablexport.py | 17 +- src/_tablhtml.py | 9 + src/_tablinverse.py | 32 +- src/_tabljson.py | 11 +- src/_tablmake.py | 14 + src/_tablstatistic.py | 2 + src/_tabltabls.py | 24 +- src/_tabltraits.py | 18 +- src/_tabltypes.py | 100 +- src/tabl.py | 175 +- tabl.py | 2825 +++++++++++++++++++ 98 files changed, 15100 insertions(+), 7581 deletions(-) create mode 100644 data/md/BinomialMinus.md create mode 100644 data/md/BinomialMinus.tbl.md create mode 100644 src/BinomialMinus.py rename src/{_statictics.txt => _oldstatistics.txt} (97%) create mode 100644 src/_statistics.txt create mode 100644 tabl.py diff --git a/README.md b/README.md index f39af52..09b9d63 100644 --- a/README.md +++ b/README.md @@ -20,6 +20,7 @@ The notebook gives a first introduction for the user. | [Binomial](https://github.com/PeterLuschny/tabl/blob/main/data/md/Binomial.tbl.md) | [source](https://github.com/PeterLuschny/tabl/blob/main/src/Binomial.py) | [traits](https://luschny.de/math/oeis/Binomial.html) | [A007318, A074909, A108086, A117440, A118433, A130595, A135278, A154926](https://oeis.org/search?q=%7Cid%3AA007318%7Cid%3AA074909%7Cid%3AA108086%7Cid%3AA117440%7Cid%3AA118433%7Cid%3AA130595%7Cid%3AA135278%7Cid%3AA154926) | | [BinomialBell](https://github.com/PeterLuschny/tabl/blob/main/data/md/BinomialBell.tbl.md) | [source](https://github.com/PeterLuschny/tabl/blob/main/src/BinomialBell.py) | [traits](https://luschny.de/math/oeis/BinomialBell.html) | [A056857, A056860](https://oeis.org/search?q=%7Cid%3AA056857%7Cid%3AA056860) | | [BinomialCatalan](https://github.com/PeterLuschny/tabl/blob/main/data/md/BinomialCatalan.tbl.md) | [source](https://github.com/PeterLuschny/tabl/blob/main/src/BinomialCatalan.py) | [traits](https://luschny.de/math/oeis/BinomialCatalan.html) | [A124644, A098474](https://oeis.org/search?q=%7Cid%3AA124644%7Cid%3AA098474) | +| [BinomialMinus](https://github.com/PeterLuschny/tabl/blob/main/data/md/BinomialMinus.tbl.md) | [source](https://github.com/PeterLuschny/tabl/blob/main/src/BinomialMinus.py) | [traits](https://luschny.de/math/oeis/BinomialMinus.html) | [A059481, A027555](https://oeis.org/search?q=%7Cid%3AA059481%7Cid%3AA027555) | | [Catalan](https://github.com/PeterLuschny/tabl/blob/main/data/md/Catalan.tbl.md) | [source](https://github.com/PeterLuschny/tabl/blob/main/src/Catalan.py) | [traits](https://luschny.de/math/oeis/Catalan.html) | [A128899, A039598](https://oeis.org/search?q=%7Cid%3AA128899%7Cid%3AA039598) | | [CatalanAer](https://github.com/PeterLuschny/tabl/blob/main/data/md/CatalanAer.tbl.md) | [source](https://github.com/PeterLuschny/tabl/blob/main/src/CatalanAer.py) | [traits](https://luschny.de/math/oeis/CatalanAer.html) | [A053121, A052173, A112554, A322378](https://oeis.org/search?q=%7Cid%3AA053121%7Cid%3AA052173%7Cid%3AA112554%7Cid%3AA322378) | | [CatalanSqr](https://github.com/PeterLuschny/tabl/blob/main/data/md/CatalanSqr.tbl.md) | [source](https://github.com/PeterLuschny/tabl/blob/main/src/CatalanSqr.py) | [traits](https://luschny.de/math/oeis/CatalanSqr.html) | [A039599, A050155](https://oeis.org/search?q=%7Cid%3AA039599%7Cid%3AA050155) | @@ -71,7 +72,7 @@ The notebook gives a first introduction for the user. | [Polygonal](https://github.com/PeterLuschny/tabl/blob/main/data/md/Polygonal.tbl.md) | [source](https://github.com/PeterLuschny/tabl/blob/main/src/Polygonal.py) | [traits](https://luschny.de/math/oeis/Polygonal.html) | [A139600, A057145, A134394, A139601](https://oeis.org/search?q=%7Cid%3AA139600%7Cid%3AA057145%7Cid%3AA134394%7Cid%3AA139601) | | [PowLaguerre](https://github.com/PeterLuschny/tabl/blob/main/data/md/PowLaguerre.tbl.md) | [source](https://github.com/PeterLuschny/tabl/blob/main/src/PowLaguerre.py) | [traits](https://luschny.de/math/oeis/PowLaguerre.html) | [A196347, A021012](https://oeis.org/search?q=%7Cid%3AA196347%7Cid%3AA021012) | | [Rencontres](https://github.com/PeterLuschny/tabl/blob/main/data/md/Rencontres.tbl.md) | [source](https://github.com/PeterLuschny/tabl/blob/main/src/Rencontres.py) | [traits](https://luschny.de/math/oeis/Rencontres.html) | [A008290, A098825](https://oeis.org/search?q=%7Cid%3AA008290%7Cid%3AA098825) | -| [RisingFact](https://github.com/PeterLuschny/tabl/blob/main/data/md/RisingFact.tbl.md) | [source](https://github.com/PeterLuschny/tabl/blob/main/src/RisingFact.py) | [traits](https://luschny.de/math/oeis/RisingFact.html) | [A008279, A068424, A094587, A173333, A181511](https://oeis.org/search?q=%7Cid%3AA008279%7Cid%3AA068424%7Cid%3AA094587%7Cid%3AA173333%7Cid%3AA181511) | +| [RisingFact](https://github.com/PeterLuschny/tabl/blob/main/data/md/RisingFact.tbl.md) | [source](https://github.com/PeterLuschny/tabl/blob/main/src/RisingFact.py) | [traits](https://luschny.de/math/oeis/RisingFact.html) | [A124320](https://oeis.org/search?q=%7Cid%3AA124320) | | [Schroeder](https://github.com/PeterLuschny/tabl/blob/main/data/md/Schroeder.tbl.md) | [source](https://github.com/PeterLuschny/tabl/blob/main/src/Schroeder.py) | [traits](https://luschny.de/math/oeis/Schroeder.html) | [A122538, A033877, A080245, A080247, A106579](https://oeis.org/search?q=%7Cid%3AA122538%7Cid%3AA033877%7Cid%3AA080245%7Cid%3AA080247%7Cid%3AA106579) | | [SchroederL](https://github.com/PeterLuschny/tabl/blob/main/data/md/SchroederL.tbl.md) | [source](https://github.com/PeterLuschny/tabl/blob/main/src/SchroederL.py) | [traits](https://luschny.de/math/oeis/SchroederL.html) | [A172094](https://oeis.org/search?q=%7Cid%3AA172094) | | [SchroederP](https://github.com/PeterLuschny/tabl/blob/main/data/md/SchroederP.tbl.md) | [source](https://github.com/PeterLuschny/tabl/blob/main/src/SchroederP.py) | [traits](https://luschny.de/math/oeis/SchroederP.html) | [A104684, A063007](https://oeis.org/search?q=%7Cid%3AA104684%7Cid%3AA063007) | diff --git a/data/md/Abel.md b/data/md/Abel.md index 1d0e9d2..ee104f3 100644 --- a/data/md/Abel.md +++ b/data/md/Abel.md @@ -41,120 +41,161 @@ | 38 | Abel:Std | PolyCol2 | A007334 | 1 2 8 50 432 4802 65536 1062882 20000000 428717762 10319560704 275716983698 8099130339328 | | 39 | Abel:Std | PolyCol3 | A362354 | 1 3 15 108 1029 12288 177147 3000000 58461513 1289945088 31813498119 867763964928 25949267578125 | | 40 | Abel:Std | PolyDiag | A193678 | 1 1 8 108 2048 50000 1492992 52706752 2147483648 99179645184 5120000000000 292159150705664 | -| 41 | Abel:Rev | Triangle | missing | 1 1 0 1 2 0 1 6 9 0 1 12 48 64 0 1 20 150 500 625 0 1 30 360 2160 6480 7776 0 1 42 735 6860 36015 | -| 42 | Abel:Rev | InvRev | A059297 | 1 0 1 0 -2 1 0 3 -6 1 0 -4 24 -12 1 0 5 -80 90 -20 1 0 -6 240 -540 240 -30 1 0 7 -672 2835 -2240 | -| 43 | Abel:Rev | Acc | missing | 1 1 1 1 3 3 1 7 16 16 1 13 61 125 125 1 21 171 671 1296 1296 1 31 391 2551 9031 16807 16807 1 43 | -| 44 | Abel:Rev | AccRev | missing | 1 0 1 0 2 3 0 9 15 16 0 64 112 124 125 0 625 1125 1275 1295 1296 0 7776 14256 16416 16776 16806 | -| 45 | Abel:Rev | AntiDiag | missing | 1 1 1 0 1 2 1 6 0 1 12 9 1 20 48 0 1 30 150 64 1 42 360 500 0 1 56 735 2160 625 1 72 1344 6860 6480 | -| 46 | Abel:Rev | Diffx1 | missing | 1 1 0 1 4 0 1 12 27 0 1 24 144 256 0 1 40 450 2000 3125 0 1 60 1080 8640 32400 46656 0 1 84 2205 | -| 47 | Abel:Rev | RowSum | B000272 | 1 1 3 16 125 1296 16807 262144 4782969 100000000 2357947691 61917364224 1792160394037 | -| 48 | Abel:Rev | EvenSum | missing | 1 1 1 10 49 776 6841 154400 1979713 58388608 985263601 35958682112 753424361713 32805006411776 | -| 49 | Abel:Rev | OddSum | missing | 0 0 2 6 76 520 9966 107744 2803256 41611392 1372684090 25958682112 1038736032324 23888905963520 | -| 50 | Abel:Rev | AltSum | A177885 | 1 1 -1 4 -27 256 -3125 46656 -823543 16777216 -387420489 10000000000 -285311670611 8916100448256 | -| 51 | Abel:Rev | DiagSum | missing | 1 1 1 3 7 22 69 245 903 3577 14757 64070 288737 1354625 6569549 32948567 170190323 904978110 | -| 52 | Abel:Rev | AccSum | A367255 | 1 2 7 40 325 3456 45619 720896 13286025 280000000 6645125311 175432531968 5100764198413 | -| 53 | Abel:Rev | AccRevSum | missing | 1 1 5 40 425 5616 88837 1638400 34543665 820000000 21650246981 629493202944 19989481318105 | -| 54 | Abel:Rev | RowLcm | missing | 1 1 2 18 192 7500 38880 7058940 220200960 12053081880 63000000000 65362309994520 286058222714880 | -| 55 | Abel:Rev | RowGcd | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 56 | Abel:Rev | RowMax | A000169 | 1 1 2 9 64 625 7776 117649 2097152 43046721 1000000000 25937424601 743008370688 23298085122481 | -| 57 | Abel:Rev | ColMiddle | missing | 1 1 2 6 48 150 2160 6860 143360 459270 12600000 40584852 1379524608 4459971516 180889572864 | -| 58 | Abel:Rev | CentralE | A367254 | 1 2 48 2160 143360 12600000 1379524608 180889572864 27638114549760 4822114348846080 | -| 59 | Abel:Rev | CentralO | missing | 1 6 150 6860 459270 40584852 4459971516 586389375000 89777998265670 15689075866014980 | -| 60 | Abel:Rev | BinConv | A367256 | 1 1 5 46 593 9726 192637 4457580 117769409 3492894070 114790042901 4137157889316 162154385331985 | -| 61 | Abel:Rev | InvBinConv | A367257 | 1 -1 -3 -10 -15 474 12565 258572 5136705 102255290 2019481101 37521627252 543274535089 | -| 62 | Abel:Rev | TransNat0 | B065513 | 0 0 2 24 300 4320 72030 1376256 29760696 720000000 19292299290 567575838720 18197320924068 | -| 63 | Abel:Rev | TransNat1 | missing | 1 1 5 40 425 5616 88837 1638400 34543665 820000000 21650246981 629493202944 19989481318105 | -| 64 | Abel:Rev | TransSqrs | missing | 0 0 2 42 780 15120 318990 7397376 188484408 5256000000 159599930490 5250076508160 186172590992388 | -| 65 | Abel:Rev | PosHalf | A007334 | 1 2 8 50 432 4802 65536 1062882 20000000 428717762 10319560704 275716983698 8099130339328 | -| 66 | Abel:Rev | NegHalf | missing | 1 -2 0 -2 -16 -162 -2048 -31250 -559872 -11529602 -268435456 -6973568802 -200000000000 | -| 67 | Abel:Rev | DiagRow1 | A000169 | 1 2 9 64 625 7776 117649 2097152 43046721 1000000000 25937424601 743008370688 23298085122481 | -| 68 | Abel:Rev | DiagRow2 | B053506 | 1 6 48 500 6480 100842 1835008 38263752 900000000 23579476910 681091006464 21505924728444 | -| 69 | Abel:Rev | DiagRow3 | B053507 | 1 12 150 2160 36015 688128 14880348 360000000 9646149645 283787919360 9098660462034 315866083233792 | -| 70 | Abel:Rev | DiagCol1 | A002378 | 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | -| 71 | Abel:Rev | DiagCol2 | missing | 0 9 48 150 360 735 1344 2268 3600 5445 7920 11154 15288 20475 26880 34680 44064 55233 68400 83790 | -| 72 | Abel:Rev | DiagCol3 | missing | 0 64 500 2160 6860 17920 40824 84000 159720 285120 483340 784784 1228500 1863680 2751280 3965760 | -| 73 | Abel:Rev | Poly | A274741 | 1 1 1 1 1 1 1 3 1 1 1 16 5 1 1 1 125 49 7 1 1 1 1296 729 100 9 1 1 1 16807 14641 2197 169 11 1 1 1 | -| 74 | Abel:Rev | PolyRow2 | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | -| 75 | Abel:Rev | PolyRow3 | A016778 | 1 16 49 100 169 256 361 484 625 784 961 1156 1369 1600 1849 2116 2401 2704 3025 3364 3721 4096 4489 | -| 76 | Abel:Rev | PolyCol2 | A052750 | 1 1 5 49 729 14641 371293 11390625 410338673 16983563041 794280046581 41426511213649 | -| 77 | Abel:Rev | PolyCol3 | A052752 | 1 1 7 100 2197 65536 2476099 113379904 6103515625 377801998336 26439622160671 2064377754059776 | -| 78 | Abel:Rev | PolyDiag | missing | 1 1 5 100 4913 456976 69343957 15625000000 4902227890625 2044140858654976 1093685272684360901 | -| 79 | Abel:Inv | Triangle | A059297 | 1 0 1 0 -2 1 0 3 -6 1 0 -4 24 -12 1 0 5 -80 90 -20 1 0 -6 240 -540 240 -30 1 0 7 -672 2835 -2240 | -| 80 | Abel:Inv | Rev | A059299 | 1 1 0 1 -2 0 1 -6 3 0 1 -12 24 -4 0 1 -20 90 -80 5 0 1 -30 240 -540 240 -6 0 1 -42 525 -2240 2835 | -| 81 | Abel:Inv | RevInv | missing | 1 1 0 1 2 0 1 6 9 0 1 12 48 64 0 1 20 150 500 625 0 1 30 360 2160 6480 7776 0 1 42 735 6860 36015 | -| 82 | Abel:Inv | Acc | missing | 1 0 1 0 -2 -1 0 3 -3 -2 0 -4 20 8 9 0 5 -75 15 -5 -4 0 -6 234 -306 -66 -96 -95 0 7 -665 2170 -70 | -| 83 | Abel:Inv | AccRev | missing | 1 1 1 1 -1 -1 1 -5 -2 -2 1 -11 13 9 9 1 -19 71 -9 -4 -4 1 -29 211 -329 -89 -95 -95 1 -41 484 -1756 | -| 84 | Abel:Inv | AntiDiag | missing | 1 0 0 1 0 -2 0 3 1 0 -4 -6 0 5 24 1 0 -6 -80 -12 0 7 240 90 1 0 -8 -672 -540 -20 0 9 1792 2835 240 | -| 85 | Abel:Inv | Diffx1 | missing | 1 0 2 0 -4 3 0 6 -18 4 0 -8 72 -48 5 0 10 -240 360 -100 6 0 -12 720 -2160 1200 -180 7 0 14 -2016 | -| 86 | Abel:Inv | RowSum | A003725 | 1 1 -1 -2 9 -4 -95 414 49 -10088 55521 -13870 -2024759 15787188 -28612415 -616876274 7476967905 | -| 87 | Abel:Inv | EvenSum | A009121 | 1 0 1 -6 25 -100 481 -2954 20721 -151848 1146721 -9111982 77652169 -710421452 6891125697 | -| 88 | Abel:Inv | OddSum | A009565 | 0 1 -2 4 -16 96 -576 3368 -20672 141760 -1091200 9098112 -79676928 726208640 -6919738112 | -| 89 | Abel:Inv | AltSum | A000248 | 1 -1 3 -10 41 -196 1057 -6322 41393 -293608 2237921 -18210094 157329097 -1436630092 13810863809 | -| 90 | Abel:Inv | DiagSum | A360814 | 1 0 1 -2 4 -10 30 -98 338 -1240 4877 -20496 91213 -426678 2090081 -10702438 57193760 -318283388 | -| 91 | Abel:Inv | AccSum | missing | 1 1 -3 -2 33 -64 -335 2724 -4655 -55952 504801 -1179100 -14176679 173674632 -691456415 -4550929124 | -| 92 | Abel:Inv | AccRevSum | missing | 1 2 -1 -8 21 36 -425 1002 5145 -55016 161451 998790 -14169947 63133188 233657775 -5935967534 | -| 93 | Abel:Inv | RowLcm | missing | 1 1 2 6 24 720 2160 907200 108864000 137168640000 57610828800000 266162029056000000 | -| 94 | Abel:Inv | RowGcd | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 95 | Abel:Inv | RowMax | missing | 1 1 2 6 24 90 540 2835 17920 129024 860160 7218750 61875000 502734375 5043886848 50438868480 | -| 96 | Abel:Inv | ColMiddle | missing | 1 0 -2 3 24 -80 -540 2835 17920 -129024 -787500 7218750 43110144 -480370176 -2826399576 37096494435 | -| 97 | Abel:Inv | CentralE | A367271 | 1 -2 24 -540 17920 -787500 43110144 -2826399576 215922769920 -18836384175180 1847560000000000 | -| 98 | Abel:Inv | CentralO | missing | 0 3 -80 2835 -129024 7218750 -480370176 37096494435 -3262832967680 322102169395578 | -| 99 | Abel:Inv | BinConv | A367273 | 1 1 -3 -8 81 26 -3815 17494 178241 -2817746 3552201 315952418 -3635118575 -11060115936 782886068497 | -| 100 | Abel:Inv | InvBinConv | A367272 | 1 1 5 28 209 1826 18217 203106 2487361 33077566 473318201 7234847126 117435618577 2014339775800 | -| 101 | Abel:Inv | TransNat0 | missing | 0 1 0 -6 12 40 -330 588 5096 -44928 105930 1012660 -12145188 47346000 262270190 -5319091260 | -| 102 | Abel:Inv | TransNat1 | missing | 1 2 -1 -8 21 36 -425 1002 5145 -55016 161451 998790 -14169947 63133188 233657775 -5935967534 | -| 103 | Abel:Inv | TransSqrs | missing | 0 1 2 -12 0 200 -780 -1344 30016 -134208 -282780 8028680 -49398096 -26677248 3298301188 | -| 104 | Abel:Inv | PosHalf | A356819 | 1 1 -3 1 41 -239 229 8401 -87151 324577 3238541 -70271519 601086265 -142860431 -81504662539 | -| 105 | Abel:Inv | NegHalf | A216689 | 1 1 5 25 153 1121 9373 87417 898033 10052353 121492341 1573957529 21729801481 318121178337 | -| 106 | Abel:Inv | DiagRow1 | A002378 | 0 -2 -6 -12 -20 -30 -42 -56 -72 -90 -110 -132 -156 -182 -210 -240 -272 -306 -342 -380 -420 -462 | -| 107 | Abel:Inv | DiagRow2 | missing | 0 3 24 90 240 525 1008 1764 2880 4455 6600 9438 13104 17745 23520 30600 39168 49419 61560 75810 | -| 108 | Abel:Inv | DiagRow3 | missing | 0 -4 -80 -540 -2240 -7000 -18144 -41160 -84480 -160380 -286000 -484484 -786240 -1230320 -1865920 | -| 109 | Abel:Inv | DiagCol1 | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | -| 110 | Abel:Inv | DiagCol2 | B001788 | 1 -6 24 -80 240 -672 1792 -4608 11520 -28160 67584 -159744 372736 -860160 1966080 -4456448 10027008 | -| 111 | Abel:Inv | DiagCol3 | A036216 | 1 -12 90 -540 2835 -13608 61236 -262440 1082565 -4330260 16888014 -64481508 241805655 -892820880 | -| 112 | Abel:Inv | Poly | missing | 1 0 1 0 1 1 0 -1 2 1 0 -2 0 3 1 0 9 -10 3 4 1 0 -4 8 -18 8 5 1 0 -95 122 -39 -20 15 6 1 0 414 -428 | -| 113 | Abel:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 114 | Abel:Inv | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | -| 115 | Abel:Inv | PolyRow3 | missing | 0 -2 -10 -18 -20 -10 18 70 152 270 430 638 900 1222 1610 2070 2608 3230 3942 4750 5660 6678 7810 | -| 116 | Abel:Inv | PolyCol2 | missing | 1 2 0 -10 8 122 -428 -1594 18608 -26254 -648916 5081342 3318856 -347739286 2495737220 6457268918 | -| 117 | Abel:Inv | PolyCol3 | missing | 1 3 3 -18 -39 348 441 -11778 18129 475416 -3100791 -13831518 304225785 -884361228 -21201487431 | -| 118 | Abel:Inv | PolyDiag | missing | 1 1 0 -18 -144 -100 16380 267246 749504 -69401448 -1849688100 -11405686270 797088487536 | -| 119 | Abel:Inv:Rev | Triangle | A059299 | 1 1 0 1 -2 0 1 -6 3 0 1 -12 24 -4 0 1 -20 90 -80 5 0 1 -30 240 -540 240 -6 0 1 -42 525 -2240 2835 | -| 120 | Abel:Inv:Rev | Rev | A059297 | 1 0 1 0 -2 1 0 3 -6 1 0 -4 24 -12 1 0 5 -80 90 -20 1 0 -6 240 -540 240 -30 1 0 7 -672 2835 -2240 | -| 121 | Abel:Inv:Rev | InvRev | A137452 | 1 0 1 0 2 1 0 9 6 1 0 64 48 12 1 0 625 500 150 20 1 0 7776 6480 2160 360 30 1 0 117649 100842 36015 | -| 122 | Abel:Inv:Rev | Acc | missing | 1 1 1 1 -1 -1 1 -5 -2 -2 1 -11 13 9 9 1 -19 71 -9 -4 -4 1 -29 211 -329 -89 -95 -95 1 -41 484 -1756 | -| 123 | Abel:Inv:Rev | AccRev | missing | 1 0 1 0 -2 -1 0 3 -3 -2 0 -4 20 8 9 0 5 -75 15 -5 -4 0 -6 234 -306 -66 -96 -95 0 7 -665 2170 -70 | -| 124 | Abel:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -2 1 -6 0 1 -12 3 1 -20 24 0 1 -30 90 -4 1 -42 240 -80 0 1 -56 525 -540 5 1 -72 1008 | -| 125 | Abel:Inv:Rev | Diffx1 | missing | 1 1 0 1 -4 0 1 -12 9 0 1 -24 72 -16 0 1 -40 270 -320 25 0 1 -60 720 -2160 1200 -36 0 1 -84 1575 | -| 126 | Abel:Inv:Rev | RowSum | A003725 | 1 1 -1 -2 9 -4 -95 414 49 -10088 55521 -13870 -2024759 15787188 -28612415 -616876274 7476967905 | -| 127 | Abel:Inv:Rev | EvenSum | A195509 | 1 1 1 4 25 96 481 3368 20721 141760 1146721 9098112 77652169 726208640 6891125697 69344336896 | -| 128 | Abel:Inv:Rev | OddSum | missing | 0 0 -2 -6 -16 -100 -576 -2954 -20672 -151848 -1091200 -9111982 -79676928 -710421452 -6919738112 | -| 129 | Abel:Inv:Rev | AltSum | A000248 | 1 1 3 10 41 196 1057 6322 41393 293608 2237921 18210094 157329097 1436630092 13810863809 | -| 130 | Abel:Inv:Rev | DiagSum | missing | 1 1 1 -1 -5 -8 5 57 119 -65 -1063 -2496 1875 28313 66893 -85065 -982545 -2130688 4789537 41662081 | -| 131 | Abel:Inv:Rev | AccSum | missing | 1 2 -1 -8 21 36 -425 1002 5145 -55016 161451 998790 -14169947 63133188 233657775 -5935967534 | -| 132 | Abel:Inv:Rev | AccRevSum | missing | 1 1 -3 -2 33 -64 -335 2724 -4655 -55952 504801 -1179100 -14176679 173674632 -691456415 -4550929124 | -| 133 | Abel:Inv:Rev | RowLcm | missing | 1 1 2 6 24 720 2160 907200 108864000 137168640000 57610828800000 266162029056000000 | -| 134 | Abel:Inv:Rev | RowGcd | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 135 | Abel:Inv:Rev | RowMax | missing | 1 1 2 6 24 90 540 2835 17920 129024 860160 7218750 61875000 502734375 5043886848 50438868480 | -| 136 | Abel:Inv:Rev | ColMiddle | A367274 | 1 1 -2 -6 24 90 -540 -2240 17920 78750 -787500 -3592512 43110144 201885684 -2826399576 -13495173120 | -| 137 | Abel:Inv:Rev | CentralE | A367271 | 1 -2 24 -540 17920 -787500 43110144 -2826399576 215922769920 -18836384175180 1847560000000000 | -| 138 | Abel:Inv:Rev | CentralO | missing | 1 -6 90 -2240 78750 -3592512 201885684 -13495173120 1046465787510 -92378000000000 9148544655566316 | -| 139 | Abel:Inv:Rev | BinConv | A367273 | 1 1 -3 -8 81 26 -3815 17494 178241 -2817746 3552201 315952418 -3635118575 -11060115936 782886068497 | -| 140 | Abel:Inv:Rev | InvBinConv | A367272 | 1 -1 5 -28 209 -1826 18217 -203106 2487361 -33077566 473318201 -7234847126 117435618577 | -| 141 | Abel:Inv:Rev | TransNat0 | missing | 0 0 -2 0 24 -60 -240 2310 -4704 -45864 449280 -1165230 -12151920 157887444 -662844000 -3934052850 | -| 142 | Abel:Inv:Rev | TransNat1 | missing | 1 1 -3 -2 33 -64 -335 2724 -4655 -55952 504801 -1179100 -14176679 173674632 -691456415 -4550929124 | -| 143 | Abel:Inv:Rev | TransSqrs | missing | 0 0 -2 6 48 -300 -240 10710 -48384 -142632 3150720 -15928110 -49478880 1410361524 -9653297472 | -| 144 | Abel:Inv:Rev | PosHalf | missing | 1 2 0 -10 8 122 -428 -1594 18608 -26254 -648916 5081342 3318856 -347739286 2495737220 6457268918 | -| 145 | Abel:Inv:Rev | NegHalf | A275707 | 1 -2 8 -38 216 -1402 10156 -80838 698704 -6498674 64579284 -681642238 7605025720 -89318058858 | -| 146 | Abel:Inv:Rev | DiagRow1 | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | -| 147 | Abel:Inv:Rev | DiagRow2 | B001788 | 1 -6 24 -80 240 -672 1792 -4608 11520 -28160 67584 -159744 372736 -860160 1966080 -4456448 10027008 | -| 148 | Abel:Inv:Rev | DiagRow3 | A036216 | 1 -12 90 -540 2835 -13608 61236 -262440 1082565 -4330260 16888014 -64481508 241805655 -892820880 | -| 149 | Abel:Inv:Rev | DiagCol1 | A002378 | 0 -2 -6 -12 -20 -30 -42 -56 -72 -90 -110 -132 -156 -182 -210 -240 -272 -306 -342 -380 -420 -462 | -| 150 | Abel:Inv:Rev | DiagCol2 | missing | 0 3 24 90 240 525 1008 1764 2880 4455 6600 9438 13104 17745 23520 30600 39168 49419 61560 75810 | -| 151 | Abel:Inv:Rev | DiagCol3 | missing | 0 -4 -80 -540 -2240 -7000 -18144 -41160 -84480 -160380 -286000 -484484 -786240 -1230320 -1865920 | -| 152 | Abel:Inv:Rev | Poly | A208879 | 1 1 1 1 1 1 1 -1 1 1 1 -2 -3 1 1 1 9 1 -5 1 1 1 -4 41 10 -7 1 1 1 -95 -239 73 25 -9 1 1 1 414 229 | -| 153 | Abel:Inv:Rev | PolyRow2 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | -| 154 | Abel:Inv:Rev | PolyRow3 | B100536 | 1 -2 1 10 25 46 73 106 145 190 241 298 361 430 505 586 673 766 865 970 1081 1198 1321 1450 1585 | -| 155 | Abel:Inv:Rev | PolyCol2 | A356819 | 1 1 -3 1 41 -239 229 8401 -87151 324577 3238541 -70271519 601086265 -142860431 -81504662539 | -| 156 | Abel:Inv:Rev | PolyCol3 | A356820 | 1 1 -5 10 73 -1004 5473 15562 -746447 9174088 -41916959 -823985546 24629093641 -335144105828 | -| 157 | Abel:Inv:Rev | PolyDiag | A320258 | 1 1 -3 10 81 -4724 156205 -4406814 76958273 3775676248 -698309272899 72802616429830 | \ No newline at end of file +| 41 | Abel:Alt | Triangle | A137452 | 1 0 -1 0 -2 1 0 -9 6 -1 0 -64 48 -12 1 0 -625 500 -150 20 -1 0 -7776 6480 -2160 360 -30 1 0 -117649 | +| 42 | Abel:Alt | Rev | missing | 1 -1 0 1 -2 0 -1 6 -9 0 1 -12 48 -64 0 -1 20 -150 500 -625 0 1 -30 360 -2160 6480 -7776 0 -1 42 | +| 43 | Abel:Alt | Inv | missing | 1 0 1 0 2 1 0 -3 -6 1 0 -68 -120 12 1 0 535 1000 -90 -20 1 0 28866 53760 -4860 -960 30 1 0 -544747 | +| 44 | Abel:Alt | RevInv | missing | 1 1 0 1 2 0 1 -6 -3 0 1 12 -120 -68 0 1 -20 -90 1000 535 0 1 30 -960 -4860 53760 28866 0 1 -42 -525 | +| 45 | Abel:Alt | Acc | missing | 1 0 -1 0 -2 -1 0 -9 -3 -4 0 -64 -16 -28 -27 0 -625 -125 -275 -255 -256 0 -7776 -1296 -3456 -3096 | +| 46 | Abel:Alt | AccRev | missing | 1 -1 -1 1 -1 -1 -1 5 -4 -4 1 -11 37 -27 -27 -1 19 -131 369 -256 -256 1 -29 331 -1829 4651 -3125 | +| 47 | Abel:Alt | AntiDiag | missing | 1 0 0 -1 0 -2 0 -9 1 0 -64 6 0 -625 48 -1 0 -7776 500 -12 0 -117649 6480 -150 1 0 -2097152 100842 | +| 48 | Abel:Alt | Diffx1 | missing | 1 0 -2 0 -4 3 0 -18 18 -4 0 -128 144 -48 5 0 -1250 1500 -600 100 -6 0 -15552 19440 -8640 1800 -180 | +| 49 | Abel:Alt | RowSum | A177885 | 1 -1 -1 -4 -27 -256 -3125 -46656 -823543 -16777216 -387420489 -10000000000 -285311670611 | +| 50 | Abel:Alt | EvenSum | A274278 | 1 0 1 6 49 520 6841 107744 1979713 41611392 985263601 25958682112 753424361713 23888905963520 | +| 51 | Abel:Alt | OddSum | A195136 | 0 -1 -2 -10 -76 -776 -9966 -154400 -2803256 -58388608 -1372684090 -35958682112 -1038736032324 | +| 52 | Abel:Alt | AltSum | B000272 | 1 1 3 16 125 1296 16807 262144 4782969 100000000 2357947691 61917364224 1792160394037 | +| 53 | Abel:Alt | DiagSum | missing | 1 0 -1 -2 -8 -58 -578 -7288 -111318 -1998450 -41247369 -962417546 -25052162323 -719785604912 | +| 54 | Abel:Alt | AccSum | missing | 1 -1 -3 -16 -135 -1536 -21875 -373248 -7411887 -167772160 -4261625379 -120000000000 -3709051717943 | +| 55 | Abel:Alt | AccRevSum | B000312 | 1 -2 -1 -4 -27 -256 -3125 -46656 -823543 -16777216 -387420489 -10000000000 -285311670611 | +| 56 | Abel:Alt | RowLcm | missing | 1 1 2 18 192 7500 38880 7058940 220200960 12053081880 63000000000 65362309994520 286058222714880 | +| 57 | Abel:Alt | RowGcd | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 58 | Abel:Alt | RowMax | A000169 | 1 1 2 9 64 625 7776 117649 2097152 43046721 1000000000 25937424601 743008370688 23298085122481 | +| 59 | Abel:Alt | ColMiddle | missing | 1 0 -2 -9 48 500 -2160 -36015 143360 3306744 -12600000 -372027810 1379524608 49696825464 | +| 60 | Abel:Alt | CentralE | A367254 | 1 -2 48 -2160 143360 -12600000 1379524608 -180889572864 27638114549760 -4822114348846080 | +| 61 | Abel:Alt | CentralO | missing | 0 -9 500 -36015 3306744 -372027810 49696825464 -7696360546875 1356645307125680 -268283197308856158 | +| 62 | Abel:Alt | BinConv | A367257 | 1 -1 -3 -10 -15 474 12565 258572 5136705 102255290 2019481101 37521627252 543274535089 | +| 63 | Abel:Alt | InvBinConv | A367256 | 1 -1 5 -46 593 -9726 192637 -4457580 117769409 -3492894070 114790042901 -4137157889316 | +| 64 | Abel:Alt | TransNat0 | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 65 | Abel:Alt | TransNat1 | B000312 | 1 -2 -1 -4 -27 -256 -3125 -46656 -823543 -16777216 -387420489 -10000000000 -285311670611 | +| 66 | Abel:Alt | TransSqrs | B055541 | 0 -1 2 6 36 320 3750 54432 941192 18874368 430467210 11000000000 311249095212 9659108818944 | +| 67 | Abel:Alt | PosHalf | A085527 | 1 -1 -3 -25 -343 -6561 -161051 -4826809 -170859375 -6975757441 -322687697779 -16679880978201 | +| 68 | Abel:Alt | NegHalf | A052750 | 1 -1 5 -49 729 -14641 371293 -11390625 410338673 -16983563041 794280046581 -41426511213649 | +| 69 | Abel:Alt | DiagRow1 | A002378 | 0 -2 6 -12 20 -30 42 -56 72 -90 110 -132 156 -182 210 -240 272 -306 342 -380 420 -462 506 -552 600 | +| 70 | Abel:Alt | DiagRow2 | missing | 0 -9 48 -150 360 -735 1344 -2268 3600 -5445 7920 -11154 15288 -20475 26880 -34680 44064 -55233 | +| 71 | Abel:Alt | DiagRow3 | missing | 0 -64 500 -2160 6860 -17920 40824 -84000 159720 -285120 483340 -784784 1228500 -1863680 2751280 | +| 72 | Abel:Alt | DiagCol1 | A000169 | -1 -2 -9 -64 -625 -7776 -117649 -2097152 -43046721 -1000000000 -25937424601 -743008370688 | +| 73 | Abel:Alt | DiagCol2 | B053506 | 1 6 48 500 6480 100842 1835008 38263752 900000000 23579476910 681091006464 21505924728444 | +| 74 | Abel:Alt | DiagCol3 | B053507 | -1 -12 -150 -2160 -36015 -688128 -14880348 -360000000 -9646149645 -283787919360 -9098660462034 | +| 75 | Abel:Alt | Poly | missing | 1 0 1 0 -1 1 0 -1 -2 1 0 -4 0 -3 1 0 -27 -2 3 -4 1 0 -256 -16 0 8 -5 1 0 -3125 -162 -3 -4 15 -6 1 0 | +| 76 | Abel:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 77 | Abel:Alt | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 78 | Abel:Alt | PolyRow3 | B366151 | 0 -4 -2 0 -4 -20 -54 -112 -200 -324 -490 -704 -972 -1300 -1694 -2160 -2704 -3332 -4050 -4864 -5780 | +| 79 | Abel:Alt | PolyCol2 | missing | 1 -2 0 -2 -16 -162 -2048 -31250 -559872 -11529602 -268435456 -6973568802 -200000000000 | +| 80 | Abel:Alt | PolyCol3 | missing | 1 -3 3 0 -3 -48 -729 -12288 -234375 -5038848 -121060821 -3221225472 -94143178827 -3000000000000 | +| 81 | Abel:Alt | PolyDiag | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 82 | Abel:Rev | Triangle | missing | 1 1 0 1 2 0 1 6 9 0 1 12 48 64 0 1 20 150 500 625 0 1 30 360 2160 6480 7776 0 1 42 735 6860 36015 | +| 83 | Abel:Rev | InvRev | A059297 | 1 0 1 0 -2 1 0 3 -6 1 0 -4 24 -12 1 0 5 -80 90 -20 1 0 -6 240 -540 240 -30 1 0 7 -672 2835 -2240 | +| 84 | Abel:Rev | Acc | missing | 1 1 1 1 3 3 1 7 16 16 1 13 61 125 125 1 21 171 671 1296 1296 1 31 391 2551 9031 16807 16807 1 43 | +| 85 | Abel:Rev | AccRev | missing | 1 0 1 0 2 3 0 9 15 16 0 64 112 124 125 0 625 1125 1275 1295 1296 0 7776 14256 16416 16776 16806 | +| 86 | Abel:Rev | AntiDiag | missing | 1 1 1 0 1 2 1 6 0 1 12 9 1 20 48 0 1 30 150 64 1 42 360 500 0 1 56 735 2160 625 1 72 1344 6860 6480 | +| 87 | Abel:Rev | Diffx1 | missing | 1 1 0 1 4 0 1 12 27 0 1 24 144 256 0 1 40 450 2000 3125 0 1 60 1080 8640 32400 46656 0 1 84 2205 | +| 88 | Abel:Rev | RowSum | B000272 | 1 1 3 16 125 1296 16807 262144 4782969 100000000 2357947691 61917364224 1792160394037 | +| 89 | Abel:Rev | EvenSum | missing | 1 1 1 10 49 776 6841 154400 1979713 58388608 985263601 35958682112 753424361713 32805006411776 | +| 90 | Abel:Rev | OddSum | missing | 0 0 2 6 76 520 9966 107744 2803256 41611392 1372684090 25958682112 1038736032324 23888905963520 | +| 91 | Abel:Rev | AltSum | A177885 | 1 1 -1 4 -27 256 -3125 46656 -823543 16777216 -387420489 10000000000 -285311670611 8916100448256 | +| 92 | Abel:Rev | DiagSum | missing | 1 1 1 3 7 22 69 245 903 3577 14757 64070 288737 1354625 6569549 32948567 170190323 904978110 | +| 93 | Abel:Rev | AccSum | A367255 | 1 2 7 40 325 3456 45619 720896 13286025 280000000 6645125311 175432531968 5100764198413 | +| 94 | Abel:Rev | AccRevSum | missing | 1 1 5 40 425 5616 88837 1638400 34543665 820000000 21650246981 629493202944 19989481318105 | +| 95 | Abel:Rev | RowLcm | missing | 1 1 2 18 192 7500 38880 7058940 220200960 12053081880 63000000000 65362309994520 286058222714880 | +| 96 | Abel:Rev | RowGcd | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 97 | Abel:Rev | RowMax | A000169 | 1 1 2 9 64 625 7776 117649 2097152 43046721 1000000000 25937424601 743008370688 23298085122481 | +| 98 | Abel:Rev | ColMiddle | missing | 1 1 2 6 48 150 2160 6860 143360 459270 12600000 40584852 1379524608 4459971516 180889572864 | +| 99 | Abel:Rev | CentralE | A367254 | 1 2 48 2160 143360 12600000 1379524608 180889572864 27638114549760 4822114348846080 | +| 100 | Abel:Rev | CentralO | missing | 1 6 150 6860 459270 40584852 4459971516 586389375000 89777998265670 15689075866014980 | +| 101 | Abel:Rev | BinConv | A367256 | 1 1 5 46 593 9726 192637 4457580 117769409 3492894070 114790042901 4137157889316 162154385331985 | +| 102 | Abel:Rev | InvBinConv | A367257 | 1 -1 -3 -10 -15 474 12565 258572 5136705 102255290 2019481101 37521627252 543274535089 | +| 103 | Abel:Rev | TransNat0 | B065513 | 0 0 2 24 300 4320 72030 1376256 29760696 720000000 19292299290 567575838720 18197320924068 | +| 104 | Abel:Rev | TransNat1 | missing | 1 1 5 40 425 5616 88837 1638400 34543665 820000000 21650246981 629493202944 19989481318105 | +| 105 | Abel:Rev | TransSqrs | missing | 0 0 2 42 780 15120 318990 7397376 188484408 5256000000 159599930490 5250076508160 186172590992388 | +| 106 | Abel:Rev | PosHalf | A007334 | 1 2 8 50 432 4802 65536 1062882 20000000 428717762 10319560704 275716983698 8099130339328 | +| 107 | Abel:Rev | NegHalf | missing | 1 -2 0 -2 -16 -162 -2048 -31250 -559872 -11529602 -268435456 -6973568802 -200000000000 | +| 108 | Abel:Rev | DiagRow1 | A000169 | 1 2 9 64 625 7776 117649 2097152 43046721 1000000000 25937424601 743008370688 23298085122481 | +| 109 | Abel:Rev | DiagRow2 | B053506 | 1 6 48 500 6480 100842 1835008 38263752 900000000 23579476910 681091006464 21505924728444 | +| 110 | Abel:Rev | DiagRow3 | B053507 | 1 12 150 2160 36015 688128 14880348 360000000 9646149645 283787919360 9098660462034 315866083233792 | +| 111 | Abel:Rev | DiagCol1 | A002378 | 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | +| 112 | Abel:Rev | DiagCol2 | missing | 0 9 48 150 360 735 1344 2268 3600 5445 7920 11154 15288 20475 26880 34680 44064 55233 68400 83790 | +| 113 | Abel:Rev | DiagCol3 | missing | 0 64 500 2160 6860 17920 40824 84000 159720 285120 483340 784784 1228500 1863680 2751280 3965760 | +| 114 | Abel:Rev | Poly | A274741 | 1 1 1 1 1 1 1 3 1 1 1 16 5 1 1 1 125 49 7 1 1 1 1296 729 100 9 1 1 1 16807 14641 2197 169 11 1 1 1 | +| 115 | Abel:Rev | PolyRow2 | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | +| 116 | Abel:Rev | PolyRow3 | A016778 | 1 16 49 100 169 256 361 484 625 784 961 1156 1369 1600 1849 2116 2401 2704 3025 3364 3721 4096 4489 | +| 117 | Abel:Rev | PolyCol2 | A052750 | 1 1 5 49 729 14641 371293 11390625 410338673 16983563041 794280046581 41426511213649 | +| 118 | Abel:Rev | PolyCol3 | A052752 | 1 1 7 100 2197 65536 2476099 113379904 6103515625 377801998336 26439622160671 2064377754059776 | +| 119 | Abel:Rev | PolyDiag | missing | 1 1 5 100 4913 456976 69343957 15625000000 4902227890625 2044140858654976 1093685272684360901 | +| 120 | Abel:Inv | Triangle | A059297 | 1 0 1 0 -2 1 0 3 -6 1 0 -4 24 -12 1 0 5 -80 90 -20 1 0 -6 240 -540 240 -30 1 0 7 -672 2835 -2240 | +| 121 | Abel:Inv | Rev | A059299 | 1 1 0 1 -2 0 1 -6 3 0 1 -12 24 -4 0 1 -20 90 -80 5 0 1 -30 240 -540 240 -6 0 1 -42 525 -2240 2835 | +| 122 | Abel:Inv | RevInv | missing | 1 1 0 1 2 0 1 6 9 0 1 12 48 64 0 1 20 150 500 625 0 1 30 360 2160 6480 7776 0 1 42 735 6860 36015 | +| 123 | Abel:Inv | Acc | missing | 1 0 1 0 -2 -1 0 3 -3 -2 0 -4 20 8 9 0 5 -75 15 -5 -4 0 -6 234 -306 -66 -96 -95 0 7 -665 2170 -70 | +| 124 | Abel:Inv | AccRev | missing | 1 1 1 1 -1 -1 1 -5 -2 -2 1 -11 13 9 9 1 -19 71 -9 -4 -4 1 -29 211 -329 -89 -95 -95 1 -41 484 -1756 | +| 125 | Abel:Inv | AntiDiag | missing | 1 0 0 1 0 -2 0 3 1 0 -4 -6 0 5 24 1 0 -6 -80 -12 0 7 240 90 1 0 -8 -672 -540 -20 0 9 1792 2835 240 | +| 126 | Abel:Inv | Diffx1 | missing | 1 0 2 0 -4 3 0 6 -18 4 0 -8 72 -48 5 0 10 -240 360 -100 6 0 -12 720 -2160 1200 -180 7 0 14 -2016 | +| 127 | Abel:Inv | RowSum | A003725 | 1 1 -1 -2 9 -4 -95 414 49 -10088 55521 -13870 -2024759 15787188 -28612415 -616876274 7476967905 | +| 128 | Abel:Inv | EvenSum | A009121 | 1 0 1 -6 25 -100 481 -2954 20721 -151848 1146721 -9111982 77652169 -710421452 6891125697 | +| 129 | Abel:Inv | OddSum | A009565 | 0 1 -2 4 -16 96 -576 3368 -20672 141760 -1091200 9098112 -79676928 726208640 -6919738112 | +| 130 | Abel:Inv | AltSum | A000248 | 1 -1 3 -10 41 -196 1057 -6322 41393 -293608 2237921 -18210094 157329097 -1436630092 13810863809 | +| 131 | Abel:Inv | DiagSum | A360814 | 1 0 1 -2 4 -10 30 -98 338 -1240 4877 -20496 91213 -426678 2090081 -10702438 57193760 -318283388 | +| 132 | Abel:Inv | AccSum | missing | 1 1 -3 -2 33 -64 -335 2724 -4655 -55952 504801 -1179100 -14176679 173674632 -691456415 -4550929124 | +| 133 | Abel:Inv | AccRevSum | missing | 1 2 -1 -8 21 36 -425 1002 5145 -55016 161451 998790 -14169947 63133188 233657775 -5935967534 | +| 134 | Abel:Inv | RowLcm | missing | 1 1 2 6 24 720 2160 907200 108864000 137168640000 57610828800000 266162029056000000 | +| 135 | Abel:Inv | RowGcd | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 136 | Abel:Inv | RowMax | missing | 1 1 2 6 24 90 540 2835 17920 129024 860160 7218750 61875000 502734375 5043886848 50438868480 | +| 137 | Abel:Inv | ColMiddle | missing | 1 0 -2 3 24 -80 -540 2835 17920 -129024 -787500 7218750 43110144 -480370176 -2826399576 37096494435 | +| 138 | Abel:Inv | CentralE | A367271 | 1 -2 24 -540 17920 -787500 43110144 -2826399576 215922769920 -18836384175180 1847560000000000 | +| 139 | Abel:Inv | CentralO | missing | 0 3 -80 2835 -129024 7218750 -480370176 37096494435 -3262832967680 322102169395578 | +| 140 | Abel:Inv | BinConv | A367273 | 1 1 -3 -8 81 26 -3815 17494 178241 -2817746 3552201 315952418 -3635118575 -11060115936 782886068497 | +| 141 | Abel:Inv | InvBinConv | A367272 | 1 1 5 28 209 1826 18217 203106 2487361 33077566 473318201 7234847126 117435618577 2014339775800 | +| 142 | Abel:Inv | TransNat0 | missing | 0 1 0 -6 12 40 -330 588 5096 -44928 105930 1012660 -12145188 47346000 262270190 -5319091260 | +| 143 | Abel:Inv | TransNat1 | missing | 1 2 -1 -8 21 36 -425 1002 5145 -55016 161451 998790 -14169947 63133188 233657775 -5935967534 | +| 144 | Abel:Inv | TransSqrs | missing | 0 1 2 -12 0 200 -780 -1344 30016 -134208 -282780 8028680 -49398096 -26677248 3298301188 | +| 145 | Abel:Inv | PosHalf | A356819 | 1 1 -3 1 41 -239 229 8401 -87151 324577 3238541 -70271519 601086265 -142860431 -81504662539 | +| 146 | Abel:Inv | NegHalf | A216689 | 1 1 5 25 153 1121 9373 87417 898033 10052353 121492341 1573957529 21729801481 318121178337 | +| 147 | Abel:Inv | DiagRow1 | A002378 | 0 -2 -6 -12 -20 -30 -42 -56 -72 -90 -110 -132 -156 -182 -210 -240 -272 -306 -342 -380 -420 -462 | +| 148 | Abel:Inv | DiagRow2 | missing | 0 3 24 90 240 525 1008 1764 2880 4455 6600 9438 13104 17745 23520 30600 39168 49419 61560 75810 | +| 149 | Abel:Inv | DiagRow3 | missing | 0 -4 -80 -540 -2240 -7000 -18144 -41160 -84480 -160380 -286000 -484484 -786240 -1230320 -1865920 | +| 150 | Abel:Inv | DiagCol1 | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 151 | Abel:Inv | DiagCol2 | B001788 | 1 -6 24 -80 240 -672 1792 -4608 11520 -28160 67584 -159744 372736 -860160 1966080 -4456448 10027008 | +| 152 | Abel:Inv | DiagCol3 | A036216 | 1 -12 90 -540 2835 -13608 61236 -262440 1082565 -4330260 16888014 -64481508 241805655 -892820880 | +| 153 | Abel:Inv | Poly | missing | 1 0 1 0 1 1 0 -1 2 1 0 -2 0 3 1 0 9 -10 3 4 1 0 -4 8 -18 8 5 1 0 -95 122 -39 -20 15 6 1 0 414 -428 | +| 154 | Abel:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 155 | Abel:Inv | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 156 | Abel:Inv | PolyRow3 | missing | 0 -2 -10 -18 -20 -10 18 70 152 270 430 638 900 1222 1610 2070 2608 3230 3942 4750 5660 6678 7810 | +| 157 | Abel:Inv | PolyCol2 | missing | 1 2 0 -10 8 122 -428 -1594 18608 -26254 -648916 5081342 3318856 -347739286 2495737220 6457268918 | +| 158 | Abel:Inv | PolyCol3 | missing | 1 3 3 -18 -39 348 441 -11778 18129 475416 -3100791 -13831518 304225785 -884361228 -21201487431 | +| 159 | Abel:Inv | PolyDiag | missing | 1 1 0 -18 -144 -100 16380 267246 749504 -69401448 -1849688100 -11405686270 797088487536 | +| 160 | Abel:Inv:Rev | Triangle | A059299 | 1 1 0 1 -2 0 1 -6 3 0 1 -12 24 -4 0 1 -20 90 -80 5 0 1 -30 240 -540 240 -6 0 1 -42 525 -2240 2835 | +| 161 | Abel:Inv:Rev | Rev | A059297 | 1 0 1 0 -2 1 0 3 -6 1 0 -4 24 -12 1 0 5 -80 90 -20 1 0 -6 240 -540 240 -30 1 0 7 -672 2835 -2240 | +| 162 | Abel:Inv:Rev | InvRev | A137452 | 1 0 1 0 2 1 0 9 6 1 0 64 48 12 1 0 625 500 150 20 1 0 7776 6480 2160 360 30 1 0 117649 100842 36015 | +| 163 | Abel:Inv:Rev | Acc | missing | 1 1 1 1 -1 -1 1 -5 -2 -2 1 -11 13 9 9 1 -19 71 -9 -4 -4 1 -29 211 -329 -89 -95 -95 1 -41 484 -1756 | +| 164 | Abel:Inv:Rev | AccRev | missing | 1 0 1 0 -2 -1 0 3 -3 -2 0 -4 20 8 9 0 5 -75 15 -5 -4 0 -6 234 -306 -66 -96 -95 0 7 -665 2170 -70 | +| 165 | Abel:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -2 1 -6 0 1 -12 3 1 -20 24 0 1 -30 90 -4 1 -42 240 -80 0 1 -56 525 -540 5 1 -72 1008 | +| 166 | Abel:Inv:Rev | Diffx1 | missing | 1 1 0 1 -4 0 1 -12 9 0 1 -24 72 -16 0 1 -40 270 -320 25 0 1 -60 720 -2160 1200 -36 0 1 -84 1575 | +| 167 | Abel:Inv:Rev | RowSum | A003725 | 1 1 -1 -2 9 -4 -95 414 49 -10088 55521 -13870 -2024759 15787188 -28612415 -616876274 7476967905 | +| 168 | Abel:Inv:Rev | EvenSum | A195509 | 1 1 1 4 25 96 481 3368 20721 141760 1146721 9098112 77652169 726208640 6891125697 69344336896 | +| 169 | Abel:Inv:Rev | OddSum | missing | 0 0 -2 -6 -16 -100 -576 -2954 -20672 -151848 -1091200 -9111982 -79676928 -710421452 -6919738112 | +| 170 | Abel:Inv:Rev | AltSum | A000248 | 1 1 3 10 41 196 1057 6322 41393 293608 2237921 18210094 157329097 1436630092 13810863809 | +| 171 | Abel:Inv:Rev | DiagSum | missing | 1 1 1 -1 -5 -8 5 57 119 -65 -1063 -2496 1875 28313 66893 -85065 -982545 -2130688 4789537 41662081 | +| 172 | Abel:Inv:Rev | AccSum | missing | 1 2 -1 -8 21 36 -425 1002 5145 -55016 161451 998790 -14169947 63133188 233657775 -5935967534 | +| 173 | Abel:Inv:Rev | AccRevSum | missing | 1 1 -3 -2 33 -64 -335 2724 -4655 -55952 504801 -1179100 -14176679 173674632 -691456415 -4550929124 | +| 174 | Abel:Inv:Rev | RowLcm | missing | 1 1 2 6 24 720 2160 907200 108864000 137168640000 57610828800000 266162029056000000 | +| 175 | Abel:Inv:Rev | RowGcd | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 176 | Abel:Inv:Rev | RowMax | missing | 1 1 2 6 24 90 540 2835 17920 129024 860160 7218750 61875000 502734375 5043886848 50438868480 | +| 177 | Abel:Inv:Rev | ColMiddle | A367274 | 1 1 -2 -6 24 90 -540 -2240 17920 78750 -787500 -3592512 43110144 201885684 -2826399576 -13495173120 | +| 178 | Abel:Inv:Rev | CentralE | A367271 | 1 -2 24 -540 17920 -787500 43110144 -2826399576 215922769920 -18836384175180 1847560000000000 | +| 179 | Abel:Inv:Rev | CentralO | missing | 1 -6 90 -2240 78750 -3592512 201885684 -13495173120 1046465787510 -92378000000000 9148544655566316 | +| 180 | Abel:Inv:Rev | BinConv | A367273 | 1 1 -3 -8 81 26 -3815 17494 178241 -2817746 3552201 315952418 -3635118575 -11060115936 782886068497 | +| 181 | Abel:Inv:Rev | InvBinConv | A367272 | 1 -1 5 -28 209 -1826 18217 -203106 2487361 -33077566 473318201 -7234847126 117435618577 | +| 182 | Abel:Inv:Rev | TransNat0 | missing | 0 0 -2 0 24 -60 -240 2310 -4704 -45864 449280 -1165230 -12151920 157887444 -662844000 -3934052850 | +| 183 | Abel:Inv:Rev | TransNat1 | missing | 1 1 -3 -2 33 -64 -335 2724 -4655 -55952 504801 -1179100 -14176679 173674632 -691456415 -4550929124 | +| 184 | Abel:Inv:Rev | TransSqrs | missing | 0 0 -2 6 48 -300 -240 10710 -48384 -142632 3150720 -15928110 -49478880 1410361524 -9653297472 | +| 185 | Abel:Inv:Rev | PosHalf | missing | 1 2 0 -10 8 122 -428 -1594 18608 -26254 -648916 5081342 3318856 -347739286 2495737220 6457268918 | +| 186 | Abel:Inv:Rev | NegHalf | A275707 | 1 -2 8 -38 216 -1402 10156 -80838 698704 -6498674 64579284 -681642238 7605025720 -89318058858 | +| 187 | Abel:Inv:Rev | DiagRow1 | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 188 | Abel:Inv:Rev | DiagRow2 | B001788 | 1 -6 24 -80 240 -672 1792 -4608 11520 -28160 67584 -159744 372736 -860160 1966080 -4456448 10027008 | +| 189 | Abel:Inv:Rev | DiagRow3 | A036216 | 1 -12 90 -540 2835 -13608 61236 -262440 1082565 -4330260 16888014 -64481508 241805655 -892820880 | +| 190 | Abel:Inv:Rev | DiagCol1 | A002378 | 0 -2 -6 -12 -20 -30 -42 -56 -72 -90 -110 -132 -156 -182 -210 -240 -272 -306 -342 -380 -420 -462 | +| 191 | Abel:Inv:Rev | DiagCol2 | missing | 0 3 24 90 240 525 1008 1764 2880 4455 6600 9438 13104 17745 23520 30600 39168 49419 61560 75810 | +| 192 | Abel:Inv:Rev | DiagCol3 | missing | 0 -4 -80 -540 -2240 -7000 -18144 -41160 -84480 -160380 -286000 -484484 -786240 -1230320 -1865920 | +| 193 | Abel:Inv:Rev | Poly | A208879 | 1 1 1 1 1 1 1 -1 1 1 1 -2 -3 1 1 1 9 1 -5 1 1 1 -4 41 10 -7 1 1 1 -95 -239 73 25 -9 1 1 1 414 229 | +| 194 | Abel:Inv:Rev | PolyRow2 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | +| 195 | Abel:Inv:Rev | PolyRow3 | B100536 | 1 -2 1 10 25 46 73 106 145 190 241 298 361 430 505 586 673 766 865 970 1081 1198 1321 1450 1585 | +| 196 | Abel:Inv:Rev | PolyCol2 | A356819 | 1 1 -3 1 41 -239 229 8401 -87151 324577 3238541 -70271519 601086265 -142860431 -81504662539 | +| 197 | Abel:Inv:Rev | PolyCol3 | A356820 | 1 1 -5 10 73 -1004 5473 15562 -746447 9174088 -41916959 -823985546 24629093641 -335144105828 | +| 198 | Abel:Inv:Rev | PolyDiag | A320258 | 1 1 -3 10 81 -4724 156205 -4406814 76958273 3775676248 -698309272899 72802616429830 | \ No newline at end of file diff --git a/data/md/Baxter.md b/data/md/Baxter.md index e510640..677575c 100644 --- a/data/md/Baxter.md +++ b/data/md/Baxter.md @@ -1,79 +1,119 @@ -| | triangle | trait | anum | seq | -|---:|:-----------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | Baxter:Std | Triangle | A359363 | 1 0 1 0 1 1 0 1 4 1 0 1 10 10 1 0 1 20 50 20 1 0 1 35 175 175 35 1 0 1 56 490 980 490 56 1 0 1 84 | -| 1 | Baxter:Std | Rev | B359363 | 1 1 0 1 1 0 1 4 1 0 1 10 10 1 0 1 20 50 20 1 0 1 35 175 175 35 1 0 1 56 490 980 490 56 1 0 1 84 | -| 2 | Baxter:Std | Inv | missing | 1 0 1 0 -1 1 0 3 -4 1 0 -21 30 -10 1 0 289 -420 150 -20 1 0 -6931 10115 -3675 525 -35 1 0 265691 | -| 3 | Baxter:Std | RevInv | missing | 1 1 0 1 -1 0 1 -4 3 0 1 -10 30 -21 0 1 -20 150 -420 289 0 1 -35 525 -3675 10115 -6931 0 1 -56 1470 | -| 4 | Baxter:Std | Acc | missing | 1 0 1 0 1 2 0 1 5 6 0 1 11 21 22 0 1 21 71 91 92 0 1 36 211 386 421 422 0 1 57 547 1527 2017 2073 | -| 5 | Baxter:Std | AccRev | missing | 1 1 1 1 2 2 1 5 6 6 1 11 21 22 22 1 21 71 91 92 92 1 36 211 386 421 422 422 1 57 547 1527 2017 2073 | -| 6 | Baxter:Std | AntiDiag | missing | 1 0 0 1 0 1 0 1 1 0 1 4 0 1 10 1 0 1 20 10 0 1 35 50 1 0 1 56 175 20 0 1 84 490 175 1 0 1 120 1176 | -| 7 | Baxter:Std | Diffx1 | missing | 1 0 2 0 2 3 0 2 12 4 0 2 30 40 5 0 2 60 200 100 6 0 2 105 700 875 210 7 0 2 168 1960 4900 2940 392 | -| 8 | Baxter:Std | RowSum | A001181 | 1 1 2 6 22 92 422 2074 10754 58202 326240 1882960 11140560 67329992 414499438 2593341586 | -| 9 | Baxter:Std | EvenSum | missing | 1 0 1 4 11 40 211 1092 5377 28464 163120 950048 5570280 33537088 207249719 1298732996 8229378293 | -| 10 | Baxter:Std | OddSum | missing | 0 1 1 2 11 52 211 982 5377 29738 163120 932912 5570280 33792904 207249719 1294608590 8229378293 | -| 11 | Baxter:Std | AltSum | missing | 1 -1 0 2 0 -12 0 110 0 -1274 0 17136 0 -255816 0 4124406 0 -70549050 0 1264752060 0 -23555382240 0 | -| 12 | Baxter:Std | DiagSum | missing | 1 0 1 1 2 5 12 31 87 252 751 2312 7293 23455 76815 255615 862352 2945316 10172062 35482831 | -| 13 | Baxter:Std | AccSum | A350265 | 1 1 3 12 55 276 1477 8296 48393 291010 1794320 11297760 72413640 471309944 3108745785 20746732688 | -| 14 | Baxter:Std | AccRevSum | missing | 1 2 5 18 77 368 1899 10370 59147 349212 2120560 13180720 83554200 538639936 3523245223 23340074274 | -| 15 | Baxter:Std | RowLcm | missing | 1 1 1 4 10 100 175 1960 8232 493920 2910600 18295200 18687240 340107768 6447876435 1203603601200 | -| 16 | Baxter:Std | RowGcd | missing | 1 1 1 4 10 10 35 14 84 24 33 11 143 13 13 2 68 136 323 19 19 1 23 23 115 25 75 9 261 29 899 62 | -| 17 | Baxter:Std | RowMax | missing | 1 1 1 4 10 50 175 980 4116 24696 116424 731808 3737448 24293412 131589315 877262100 4971151900 | -| 18 | Baxter:Std | ColMiddle | missing | 1 0 1 1 10 20 175 490 4116 14112 116424 457380 3737448 16195608 131589315 614083470 4971151900 | -| 19 | Baxter:Std | CentralE | missing | 1 1 10 175 4116 116424 3737448 131589315 4971151900 198520691512 8291930371088 359423289546776 | -| 20 | Baxter:Std | CentralO | missing | 0 1 20 490 14112 457380 16195608 614083470 24584605760 1028698128744 44648855844320 | -| 21 | Baxter:Std | BinConv | missing | 1 1 3 16 105 806 6867 63316 620433 6383026 68335124 756256788 8607763034 100362442428 1194878432659 | -| 22 | Baxter:Std | InvBinConv | missing | 1 1 -1 -8 17 206 -565 -8420 26369 445186 -1513092 -27773844 99801834 1945265388 -7278043773 | -| 23 | Baxter:Std | TransNat0 | B350265 | 0 1 3 12 55 276 1477 8296 48393 291010 1794320 11297760 72413640 471309944 3108745785 20746732688 | -| 24 | Baxter:Std | TransNat1 | missing | 1 2 5 18 77 368 1899 10370 59147 349212 2120560 13180720 83554200 538639936 3523245223 23340074274 | -| 25 | Baxter:Std | TransSqrs | missing | 0 1 5 26 147 876 5427 34630 226193 1505626 10180040 69742960 483206440 3380507976 23851267767 | -| 26 | Baxter:Std | PosHalf | missing | 1 1 3 13 69 417 2763 19609 146793 1146833 9278595 77292261 659973933 5756169681 51137399979 | -| 27 | Baxter:Std | NegHalf | missing | 1 1 -1 -3 13 17 -241 121 5081 -13327 -106705 609589 1850661 -23392159 -6796193 811545073 | -| 28 | Baxter:Std | DiagRow1 | A000292 | 0 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 | -| 29 | Baxter:Std | DiagRow2 | A006542 | 0 1 10 50 175 490 1176 2520 4950 9075 15730 26026 41405 63700 95200 138720 197676 276165 379050 | -| 30 | Baxter:Std | DiagRow3 | A047819 | 0 1 20 175 980 4116 14112 41580 108900 259545 572572 1184183 2318680 4331600 7768320 13441968 | -| 31 | Baxter:Std | DiagCol2 | B000292 | 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 2925 | -| 32 | Baxter:Std | DiagCol3 | A006542 | 1 10 50 175 490 1176 2520 4950 9075 15730 26026 41405 63700 95200 138720 197676 276165 379050 | -| 33 | Baxter:Std | Poly | missing | 1 0 1 0 1 1 0 2 2 1 0 6 6 3 1 0 22 26 12 4 1 0 92 138 66 20 5 1 0 422 834 444 132 30 6 1 0 2074 | -| 34 | Baxter:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 35 | Baxter:Std | PolyRow2 | A002378 | 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | -| 36 | Baxter:Std | PolyRow3 | missing | 0 6 26 66 132 230 366 546 776 1062 1410 1826 2316 2886 3542 4290 5136 6086 7146 8322 9620 11046 | -| 37 | Baxter:Std | PolyCol2 | missing | 1 2 6 26 138 834 5526 39218 293586 2293666 18557190 154584522 1319947866 11512339362 102274799958 | -| 38 | Baxter:Std | PolyCol3 | missing | 1 3 12 66 444 3396 28452 255198 2413668 23819214 243386400 2560273392 27604174368 303982854168 | -| 39 | Baxter:Std | PolyDiag | missing | 1 1 6 66 1060 22380 584682 18171118 653559048 26658514026 1214287166510 61018355320560 | -| 40 | Baxter:Rev | Triangle | B359363 | 1 1 0 1 1 0 1 4 1 0 1 10 10 1 0 1 20 50 20 1 0 1 35 175 175 35 1 0 1 56 490 980 490 56 1 0 1 84 | -| 41 | Baxter:Rev | InvRev | missing | 1 0 1 0 -1 1 0 3 -4 1 0 -21 30 -10 1 0 289 -420 150 -20 1 0 -6931 10115 -3675 525 -35 1 0 265691 | -| 42 | Baxter:Rev | Acc | missing | 1 1 1 1 2 2 1 5 6 6 1 11 21 22 22 1 21 71 91 92 92 1 36 211 386 421 422 422 1 57 547 1527 2017 2073 | -| 43 | Baxter:Rev | AccRev | missing | 1 0 1 0 1 2 0 1 5 6 0 1 11 21 22 0 1 21 71 91 92 0 1 36 211 386 421 422 0 1 57 547 1527 2017 2073 | -| 44 | Baxter:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 4 0 1 10 1 1 20 10 0 1 35 50 1 1 56 175 20 0 1 84 490 175 1 1 120 1176 980 35 0 1 165 | -| 45 | Baxter:Rev | Diffx1 | A278881 | 1 1 0 1 2 0 1 8 3 0 1 20 30 4 0 1 40 150 80 5 0 1 70 525 700 175 6 0 1 112 1470 3920 2450 336 7 0 1 | -| 46 | Baxter:Rev | RowSum | A001181 | 1 1 2 6 22 92 422 2074 10754 58202 326240 1882960 11140560 67329992 414499438 2593341586 | -| 47 | Baxter:Rev | EvenSum | missing | 1 1 1 2 11 52 211 982 5377 29738 163120 932912 5570280 33792904 207249719 1294608590 8229378293 | -| 48 | Baxter:Rev | OddSum | missing | 0 0 1 4 11 40 211 1092 5377 28464 163120 950048 5570280 33537088 207249719 1298732996 8229378293 | -| 49 | Baxter:Rev | AltSum | missing | 1 1 0 -2 0 12 0 -110 0 1274 0 -17136 0 255816 0 -4124406 0 70549050 0 -1264752060 0 23555382240 0 | -| 50 | Baxter:Rev | DiagSum | missing | 1 1 1 2 5 12 31 87 252 751 2312 7293 23455 76815 255615 862352 2945316 10172062 35482831 124896519 | -| 51 | Baxter:Rev | AccSum | missing | 1 2 5 18 77 368 1899 10370 59147 349212 2120560 13180720 83554200 538639936 3523245223 23340074274 | -| 52 | Baxter:Rev | AccRevSum | A350265 | 1 1 3 12 55 276 1477 8296 48393 291010 1794320 11297760 72413640 471309944 3108745785 20746732688 | -| 53 | Baxter:Rev | RowLcm | missing | 1 1 1 4 10 100 175 1960 8232 493920 2910600 18295200 18687240 340107768 6447876435 1203603601200 | -| 54 | Baxter:Rev | RowGcd | missing | 1 1 1 4 10 10 35 14 84 24 33 11 143 13 13 2 68 136 323 19 19 1 23 23 115 25 75 9 261 29 899 62 | -| 55 | Baxter:Rev | RowMax | missing | 1 1 1 4 10 50 175 980 4116 24696 116424 731808 3737448 24293412 131589315 877262100 4971151900 | -| 56 | Baxter:Rev | ColMiddle | missing | 1 1 1 4 10 50 175 980 4116 24696 116424 731808 3737448 24293412 131589315 877262100 4971151900 | -| 57 | Baxter:Rev | CentralE | missing | 1 1 10 175 4116 116424 3737448 131589315 4971151900 198520691512 8291930371088 359423289546776 | -| 58 | Baxter:Rev | CentralO | missing | 1 4 50 980 24696 731808 24293412 877262100 33803832920 1371597504992 58043512597616 | -| 59 | Baxter:Rev | BinConv | missing | 1 1 3 16 105 806 6867 63316 620433 6383026 68335124 756256788 8607763034 100362442428 1194878432659 | -| 60 | Baxter:Rev | InvBinConv | missing | 1 -1 -1 8 17 -206 -565 8420 26369 -445186 -1513092 27773844 99801834 -1945265388 -7278043773 | -| 61 | Baxter:Rev | TransNat0 | missing | 0 0 1 6 33 184 1055 6222 37639 232808 1468080 9414800 61273080 403979952 2694246347 18153391102 | -| 62 | Baxter:Rev | TransNat1 | A350265 | 1 1 3 12 55 276 1477 8296 48393 291010 1794320 11297760 72413640 471309944 3108745785 20746732688 | -| 63 | Baxter:Rev | TransSqrs | missing | 0 0 1 8 59 416 2895 20112 140161 981808 6917640 49030400 349519720 2505218080 18048275635 | -| 64 | Baxter:Rev | PosHalf | missing | 1 2 6 26 138 834 5526 39218 293586 2293666 18557190 154584522 1319947866 11512339362 102274799958 | -| 65 | Baxter:Rev | NegHalf | missing | 1 -2 2 6 -26 -34 482 -242 -10162 26654 213410 -1219178 -3701322 46784318 13592386 -1623090146 | -| 66 | Baxter:Rev | DiagRow2 | B000292 | 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 2925 | -| 67 | Baxter:Rev | DiagRow3 | A006542 | 1 10 50 175 490 1176 2520 4950 9075 15730 26026 41405 63700 95200 138720 197676 276165 379050 | -| 68 | Baxter:Rev | DiagCol1 | A000292 | 0 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 | -| 69 | Baxter:Rev | DiagCol2 | A006542 | 0 1 10 50 175 490 1176 2520 4950 9075 15730 26026 41405 63700 95200 138720 197676 276165 379050 | -| 70 | Baxter:Rev | DiagCol3 | A047819 | 0 1 20 175 980 4116 14112 41580 108900 259545 572572 1184183 2318680 4331600 7768320 13441968 | -| 71 | Baxter:Rev | Poly | A069777 | 1 1 1 1 1 1 1 2 1 1 1 6 3 1 1 1 22 13 4 1 1 1 92 69 22 5 1 1 1 422 417 148 33 6 1 1 1 2074 2763 | -| 72 | Baxter:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 73 | Baxter:Rev | PolyRow3 | A028872 | 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 673 726 781 | -| 74 | Baxter:Rev | PolyCol2 | missing | 1 1 3 13 69 417 2763 19609 146793 1146833 9278595 77292261 659973933 5756169681 51137399979 | -| 75 | Baxter:Rev | PolyCol3 | missing | 1 1 4 22 148 1132 9484 85066 804556 7939738 81128800 853424464 9201391456 101327618056 | -| 76 | Baxter:Rev | PolyDiag | missing | 1 1 3 22 265 4476 97447 2595874 81694881 2962057114 121428716651 5547123210960 279136817310793 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:-----------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | Baxter:Std | Triangle | A359363 | 1 0 1 0 1 1 0 1 4 1 0 1 10 10 1 0 1 20 50 20 1 0 1 35 175 175 35 1 0 1 56 490 980 490 56 1 0 1 84 | +| 1 | Baxter:Std | Rev | B359363 | 1 1 0 1 1 0 1 4 1 0 1 10 10 1 0 1 20 50 20 1 0 1 35 175 175 35 1 0 1 56 490 980 490 56 1 0 1 84 | +| 2 | Baxter:Std | Inv | missing | 1 0 1 0 -1 1 0 3 -4 1 0 -21 30 -10 1 0 289 -420 150 -20 1 0 -6931 10115 -3675 525 -35 1 0 265691 | +| 3 | Baxter:Std | RevInv | missing | 1 1 0 1 -1 0 1 -4 3 0 1 -10 30 -21 0 1 -20 150 -420 289 0 1 -35 525 -3675 10115 -6931 0 1 -56 1470 | +| 4 | Baxter:Std | Acc | missing | 1 0 1 0 1 2 0 1 5 6 0 1 11 21 22 0 1 21 71 91 92 0 1 36 211 386 421 422 0 1 57 547 1527 2017 2073 | +| 5 | Baxter:Std | AccRev | missing | 1 1 1 1 2 2 1 5 6 6 1 11 21 22 22 1 21 71 91 92 92 1 36 211 386 421 422 422 1 57 547 1527 2017 2073 | +| 6 | Baxter:Std | AntiDiag | missing | 1 0 0 1 0 1 0 1 1 0 1 4 0 1 10 1 0 1 20 10 0 1 35 50 1 0 1 56 175 20 0 1 84 490 175 1 0 1 120 1176 | +| 7 | Baxter:Std | Diffx1 | missing | 1 0 2 0 2 3 0 2 12 4 0 2 30 40 5 0 2 60 200 100 6 0 2 105 700 875 210 7 0 2 168 1960 4900 2940 392 | +| 8 | Baxter:Std | RowSum | A001181 | 1 1 2 6 22 92 422 2074 10754 58202 326240 1882960 11140560 67329992 414499438 2593341586 | +| 9 | Baxter:Std | EvenSum | missing | 1 0 1 4 11 40 211 1092 5377 28464 163120 950048 5570280 33537088 207249719 1298732996 8229378293 | +| 10 | Baxter:Std | OddSum | missing | 0 1 1 2 11 52 211 982 5377 29738 163120 932912 5570280 33792904 207249719 1294608590 8229378293 | +| 11 | Baxter:Std | AltSum | missing | 1 -1 0 2 0 -12 0 110 0 -1274 0 17136 0 -255816 0 4124406 0 -70549050 0 1264752060 0 -23555382240 0 | +| 12 | Baxter:Std | DiagSum | missing | 1 0 1 1 2 5 12 31 87 252 751 2312 7293 23455 76815 255615 862352 2945316 10172062 35482831 | +| 13 | Baxter:Std | AccSum | A350265 | 1 1 3 12 55 276 1477 8296 48393 291010 1794320 11297760 72413640 471309944 3108745785 20746732688 | +| 14 | Baxter:Std | AccRevSum | missing | 1 2 5 18 77 368 1899 10370 59147 349212 2120560 13180720 83554200 538639936 3523245223 23340074274 | +| 15 | Baxter:Std | RowLcm | missing | 1 1 1 4 10 100 175 1960 8232 493920 2910600 18295200 18687240 340107768 6447876435 1203603601200 | +| 16 | Baxter:Std | RowGcd | missing | 1 1 1 4 10 10 35 14 84 24 33 11 143 13 13 2 68 136 323 19 19 1 23 23 115 25 75 9 261 29 899 62 | +| 17 | Baxter:Std | RowMax | missing | 1 1 1 4 10 50 175 980 4116 24696 116424 731808 3737448 24293412 131589315 877262100 4971151900 | +| 18 | Baxter:Std | ColMiddle | missing | 1 0 1 1 10 20 175 490 4116 14112 116424 457380 3737448 16195608 131589315 614083470 4971151900 | +| 19 | Baxter:Std | CentralE | missing | 1 1 10 175 4116 116424 3737448 131589315 4971151900 198520691512 8291930371088 359423289546776 | +| 20 | Baxter:Std | CentralO | missing | 0 1 20 490 14112 457380 16195608 614083470 24584605760 1028698128744 44648855844320 | +| 21 | Baxter:Std | BinConv | missing | 1 1 3 16 105 806 6867 63316 620433 6383026 68335124 756256788 8607763034 100362442428 1194878432659 | +| 22 | Baxter:Std | InvBinConv | missing | 1 1 -1 -8 17 206 -565 -8420 26369 445186 -1513092 -27773844 99801834 1945265388 -7278043773 | +| 23 | Baxter:Std | TransNat0 | B350265 | 0 1 3 12 55 276 1477 8296 48393 291010 1794320 11297760 72413640 471309944 3108745785 20746732688 | +| 24 | Baxter:Std | TransNat1 | missing | 1 2 5 18 77 368 1899 10370 59147 349212 2120560 13180720 83554200 538639936 3523245223 23340074274 | +| 25 | Baxter:Std | TransSqrs | missing | 0 1 5 26 147 876 5427 34630 226193 1505626 10180040 69742960 483206440 3380507976 23851267767 | +| 26 | Baxter:Std | PosHalf | missing | 1 1 3 13 69 417 2763 19609 146793 1146833 9278595 77292261 659973933 5756169681 51137399979 | +| 27 | Baxter:Std | NegHalf | missing | 1 1 -1 -3 13 17 -241 121 5081 -13327 -106705 609589 1850661 -23392159 -6796193 811545073 | +| 28 | Baxter:Std | DiagRow1 | A000292 | 0 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 | +| 29 | Baxter:Std | DiagRow2 | A006542 | 0 1 10 50 175 490 1176 2520 4950 9075 15730 26026 41405 63700 95200 138720 197676 276165 379050 | +| 30 | Baxter:Std | DiagRow3 | A047819 | 0 1 20 175 980 4116 14112 41580 108900 259545 572572 1184183 2318680 4331600 7768320 13441968 | +| 31 | Baxter:Std | DiagCol2 | B000292 | 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 2925 | +| 32 | Baxter:Std | DiagCol3 | A006542 | 1 10 50 175 490 1176 2520 4950 9075 15730 26026 41405 63700 95200 138720 197676 276165 379050 | +| 33 | Baxter:Std | Poly | missing | 1 0 1 0 1 1 0 2 2 1 0 6 6 3 1 0 22 26 12 4 1 0 92 138 66 20 5 1 0 422 834 444 132 30 6 1 0 2074 | +| 34 | Baxter:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 35 | Baxter:Std | PolyRow2 | A002378 | 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | +| 36 | Baxter:Std | PolyRow3 | missing | 0 6 26 66 132 230 366 546 776 1062 1410 1826 2316 2886 3542 4290 5136 6086 7146 8322 9620 11046 | +| 37 | Baxter:Std | PolyCol2 | missing | 1 2 6 26 138 834 5526 39218 293586 2293666 18557190 154584522 1319947866 11512339362 102274799958 | +| 38 | Baxter:Std | PolyCol3 | missing | 1 3 12 66 444 3396 28452 255198 2413668 23819214 243386400 2560273392 27604174368 303982854168 | +| 39 | Baxter:Std | PolyDiag | missing | 1 1 6 66 1060 22380 584682 18171118 653559048 26658514026 1214287166510 61018355320560 | +| 40 | Baxter:Alt | Triangle | A359363 | 1 0 -1 0 -1 1 0 -1 4 -1 0 -1 10 -10 1 0 -1 20 -50 20 -1 0 -1 35 -175 175 -35 1 0 -1 56 -490 980 | +| 41 | Baxter:Alt | Rev | B359363 | 1 -1 0 1 -1 0 -1 4 -1 0 1 -10 10 -1 0 -1 20 -50 20 -1 0 1 -35 175 -175 35 -1 0 -1 56 -490 980 -490 | +| 42 | Baxter:Alt | Inv | missing | 1 0 1 0 1 1 0 -3 -4 1 0 -39 -50 10 1 0 611 780 -150 -20 1 0 27651 35315 -6825 -875 35 1 0 -1212371 | +| 43 | Baxter:Alt | RevInv | missing | 1 1 0 1 1 0 1 -4 -3 0 1 10 -50 -39 0 1 -20 -150 780 611 0 1 35 -875 -6825 35315 27651 0 1 -56 -1470 | +| 44 | Baxter:Alt | Acc | missing | 1 0 -1 0 -1 0 0 -1 3 2 0 -1 9 -1 0 0 -1 19 -31 -11 -12 0 -1 34 -141 34 -1 0 0 -1 55 -435 545 55 111 | +| 45 | Baxter:Alt | AccRev | missing | 1 -1 -1 1 0 0 -1 3 2 2 1 -9 1 0 0 -1 19 -31 -11 -12 -12 1 -34 141 -34 1 0 0 -1 55 -435 545 55 111 | +| 46 | Baxter:Alt | AntiDiag | missing | 1 0 0 -1 0 -1 0 -1 1 0 -1 4 0 -1 10 -1 0 -1 20 -10 0 -1 35 -50 1 0 -1 56 -175 20 0 -1 84 -490 175 | +| 47 | Baxter:Alt | Diffx1 | missing | 1 0 -2 0 -2 3 0 -2 12 -4 0 -2 30 -40 5 0 -2 60 -200 100 -6 0 -2 105 -700 875 -210 7 0 -2 168 -1960 | +| 48 | Baxter:Alt | RowSum | missing | 1 -1 0 2 0 -12 0 110 0 -1274 0 17136 0 -255816 0 4124406 0 -70549050 0 1264752060 0 -23555382240 0 | +| 49 | Baxter:Alt | EvenSum | missing | 1 0 1 4 11 40 211 1092 5377 28464 163120 950048 5570280 33537088 207249719 1298732996 8229378293 | +| 50 | Baxter:Alt | OddSum | missing | 0 -1 -1 -2 -11 -52 -211 -982 -5377 -29738 -163120 -932912 -5570280 -33792904 -207249719 -1294608590 | +| 51 | Baxter:Alt | AltSum | A001181 | 1 1 2 6 22 92 422 2074 10754 58202 326240 1882960 11140560 67329992 414499438 2593341586 | +| 52 | Baxter:Alt | DiagSum | missing | 1 0 -1 -1 0 3 8 9 -15 -100 -233 -112 1271 5321 9269 -8863 -109502 -335196 -317540 1765177 9699855 | +| 53 | Baxter:Alt | AccSum | missing | 1 -1 -1 4 7 -36 -75 440 1001 -6370 -15288 102816 255816 -1790712 -4572711 32995248 85925125 | +| 54 | Baxter:Alt | AccRevSum | missing | 1 -2 1 6 -7 -48 75 550 -1001 -7644 15288 119952 -255816 -2046528 4572711 37119654 -85925125 | +| 55 | Baxter:Alt | RowLcm | missing | 1 1 1 4 10 100 175 1960 8232 493920 2910600 18295200 18687240 340107768 6447876435 1203603601200 | +| 56 | Baxter:Alt | RowGcd | missing | 1 1 1 4 10 10 35 14 84 24 33 11 143 13 13 2 68 136 323 19 19 1 23 23 115 25 75 9 261 29 899 62 | +| 57 | Baxter:Alt | RowMax | missing | 1 1 1 4 10 50 175 980 4116 24696 116424 731808 3737448 24293412 131589315 877262100 4971151900 | +| 58 | Baxter:Alt | ColMiddle | missing | 1 0 -1 -1 10 20 -175 -490 4116 14112 -116424 -457380 3737448 16195608 -131589315 -614083470 | +| 59 | Baxter:Alt | CentralE | missing | 1 -1 10 -175 4116 -116424 3737448 -131589315 4971151900 -198520691512 8291930371088 | +| 60 | Baxter:Alt | CentralO | missing | 0 -1 20 -490 14112 -457380 16195608 -614083470 24584605760 -1028698128744 44648855844320 | +| 61 | Baxter:Alt | BinConv | missing | 1 -1 -1 8 17 -206 -565 8420 26369 -445186 -1513092 27773844 99801834 -1945265388 -7278043773 | +| 62 | Baxter:Alt | InvBinConv | missing | 1 -1 3 -16 105 -806 6867 -63316 620433 -6383026 68335124 -756256788 8607763034 -100362442428 | +| 63 | Baxter:Alt | TransNat0 | missing | 0 -1 1 4 -7 -36 75 440 -1001 -6370 15288 102816 -255816 -1790712 4572711 32995248 -85925125 | +| 64 | Baxter:Alt | TransNat1 | missing | 1 -2 1 6 -7 -48 75 550 -1001 -7644 15288 119952 -255816 -2046528 4572711 37119654 -85925125 | +| 65 | Baxter:Alt | TransSqrs | missing | 0 -1 3 6 -35 -76 525 1210 -9009 -21658 168168 416976 -3325608 -8441928 68590665 177349458 | +| 66 | Baxter:Alt | PosHalf | missing | 1 -1 -1 3 13 -17 -241 -121 5081 13327 -106705 -609589 1850661 23392159 -6796193 -811545073 | +| 67 | Baxter:Alt | NegHalf | missing | 1 -1 3 -13 69 -417 2763 -19609 146793 -1146833 9278595 -77292261 659973933 -5756169681 51137399979 | +| 68 | Baxter:Alt | DiagRow1 | A000292 | 0 -1 4 -10 20 -35 56 -84 120 -165 220 -286 364 -455 560 -680 816 -969 1140 -1330 1540 -1771 2024 | +| 69 | Baxter:Alt | DiagRow2 | A006542 | 0 -1 10 -50 175 -490 1176 -2520 4950 -9075 15730 -26026 41405 -63700 95200 -138720 197676 -276165 | +| 70 | Baxter:Alt | DiagRow3 | A047819 | 0 -1 20 -175 980 -4116 14112 -41580 108900 -259545 572572 -1184183 2318680 -4331600 7768320 | +| 71 | Baxter:Alt | DiagCol2 | B000292 | 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 2925 | +| 72 | Baxter:Alt | DiagCol3 | A006542 | -1 -10 -50 -175 -490 -1176 -2520 -4950 -9075 -15730 -26026 -41405 -63700 -95200 -138720 -197676 | +| 73 | Baxter:Alt | Poly | missing | 1 0 1 0 -1 1 0 0 -2 1 0 2 2 -3 1 0 0 6 6 -4 1 0 -12 -26 6 12 -5 1 0 0 -34 -102 -4 20 -6 1 0 110 482 | +| 74 | Baxter:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | Baxter:Alt | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 76 | Baxter:Alt | PolyRow3 | missing | 0 2 6 6 -4 -30 -78 -154 -264 -414 -610 -858 -1164 -1534 -1974 -2490 -3088 -3774 -4554 -5434 -6420 | +| 77 | Baxter:Alt | PolyCol2 | missing | 1 -2 2 6 -26 -34 482 -242 -10162 26654 213410 -1219178 -3701322 46784318 13592386 -1623090146 | +| 78 | Baxter:Alt | PolyCol3 | missing | 1 -3 6 6 -102 204 1986 -13782 -17634 619026 -1829280 -20684208 180317616 248370792 -10750405062 | +| 79 | Baxter:Alt | PolyDiag | missing | 1 -1 2 6 -228 3620 -35250 -282982 30287096 -1142713098 29392466490 -322450326704 -22363453095852 | +| 80 | Baxter:Rev | Triangle | B359363 | 1 1 0 1 1 0 1 4 1 0 1 10 10 1 0 1 20 50 20 1 0 1 35 175 175 35 1 0 1 56 490 980 490 56 1 0 1 84 | +| 81 | Baxter:Rev | InvRev | missing | 1 0 1 0 -1 1 0 3 -4 1 0 -21 30 -10 1 0 289 -420 150 -20 1 0 -6931 10115 -3675 525 -35 1 0 265691 | +| 82 | Baxter:Rev | Acc | missing | 1 1 1 1 2 2 1 5 6 6 1 11 21 22 22 1 21 71 91 92 92 1 36 211 386 421 422 422 1 57 547 1527 2017 2073 | +| 83 | Baxter:Rev | AccRev | missing | 1 0 1 0 1 2 0 1 5 6 0 1 11 21 22 0 1 21 71 91 92 0 1 36 211 386 421 422 0 1 57 547 1527 2017 2073 | +| 84 | Baxter:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 4 0 1 10 1 1 20 10 0 1 35 50 1 1 56 175 20 0 1 84 490 175 1 1 120 1176 980 35 0 1 165 | +| 85 | Baxter:Rev | Diffx1 | A278881 | 1 1 0 1 2 0 1 8 3 0 1 20 30 4 0 1 40 150 80 5 0 1 70 525 700 175 6 0 1 112 1470 3920 2450 336 7 0 1 | +| 86 | Baxter:Rev | RowSum | A001181 | 1 1 2 6 22 92 422 2074 10754 58202 326240 1882960 11140560 67329992 414499438 2593341586 | +| 87 | Baxter:Rev | EvenSum | missing | 1 1 1 2 11 52 211 982 5377 29738 163120 932912 5570280 33792904 207249719 1294608590 8229378293 | +| 88 | Baxter:Rev | OddSum | missing | 0 0 1 4 11 40 211 1092 5377 28464 163120 950048 5570280 33537088 207249719 1298732996 8229378293 | +| 89 | Baxter:Rev | AltSum | missing | 1 1 0 -2 0 12 0 -110 0 1274 0 -17136 0 255816 0 -4124406 0 70549050 0 -1264752060 0 23555382240 0 | +| 90 | Baxter:Rev | DiagSum | missing | 1 1 1 2 5 12 31 87 252 751 2312 7293 23455 76815 255615 862352 2945316 10172062 35482831 124896519 | +| 91 | Baxter:Rev | AccSum | missing | 1 2 5 18 77 368 1899 10370 59147 349212 2120560 13180720 83554200 538639936 3523245223 23340074274 | +| 92 | Baxter:Rev | AccRevSum | A350265 | 1 1 3 12 55 276 1477 8296 48393 291010 1794320 11297760 72413640 471309944 3108745785 20746732688 | +| 93 | Baxter:Rev | RowLcm | missing | 1 1 1 4 10 100 175 1960 8232 493920 2910600 18295200 18687240 340107768 6447876435 1203603601200 | +| 94 | Baxter:Rev | RowGcd | missing | 1 1 1 4 10 10 35 14 84 24 33 11 143 13 13 2 68 136 323 19 19 1 23 23 115 25 75 9 261 29 899 62 | +| 95 | Baxter:Rev | RowMax | missing | 1 1 1 4 10 50 175 980 4116 24696 116424 731808 3737448 24293412 131589315 877262100 4971151900 | +| 96 | Baxter:Rev | ColMiddle | missing | 1 1 1 4 10 50 175 980 4116 24696 116424 731808 3737448 24293412 131589315 877262100 4971151900 | +| 97 | Baxter:Rev | CentralE | missing | 1 1 10 175 4116 116424 3737448 131589315 4971151900 198520691512 8291930371088 359423289546776 | +| 98 | Baxter:Rev | CentralO | missing | 1 4 50 980 24696 731808 24293412 877262100 33803832920 1371597504992 58043512597616 | +| 99 | Baxter:Rev | BinConv | missing | 1 1 3 16 105 806 6867 63316 620433 6383026 68335124 756256788 8607763034 100362442428 1194878432659 | +| 100 | Baxter:Rev | InvBinConv | missing | 1 -1 -1 8 17 -206 -565 8420 26369 -445186 -1513092 27773844 99801834 -1945265388 -7278043773 | +| 101 | Baxter:Rev | TransNat0 | missing | 0 0 1 6 33 184 1055 6222 37639 232808 1468080 9414800 61273080 403979952 2694246347 18153391102 | +| 102 | Baxter:Rev | TransNat1 | A350265 | 1 1 3 12 55 276 1477 8296 48393 291010 1794320 11297760 72413640 471309944 3108745785 20746732688 | +| 103 | Baxter:Rev | TransSqrs | missing | 0 0 1 8 59 416 2895 20112 140161 981808 6917640 49030400 349519720 2505218080 18048275635 | +| 104 | Baxter:Rev | PosHalf | missing | 1 2 6 26 138 834 5526 39218 293586 2293666 18557190 154584522 1319947866 11512339362 102274799958 | +| 105 | Baxter:Rev | NegHalf | missing | 1 -2 2 6 -26 -34 482 -242 -10162 26654 213410 -1219178 -3701322 46784318 13592386 -1623090146 | +| 106 | Baxter:Rev | DiagRow2 | B000292 | 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 2925 | +| 107 | Baxter:Rev | DiagRow3 | A006542 | 1 10 50 175 490 1176 2520 4950 9075 15730 26026 41405 63700 95200 138720 197676 276165 379050 | +| 108 | Baxter:Rev | DiagCol1 | A000292 | 0 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 | +| 109 | Baxter:Rev | DiagCol2 | A006542 | 0 1 10 50 175 490 1176 2520 4950 9075 15730 26026 41405 63700 95200 138720 197676 276165 379050 | +| 110 | Baxter:Rev | DiagCol3 | A047819 | 0 1 20 175 980 4116 14112 41580 108900 259545 572572 1184183 2318680 4331600 7768320 13441968 | +| 111 | Baxter:Rev | Poly | A069777 | 1 1 1 1 1 1 1 2 1 1 1 6 3 1 1 1 22 13 4 1 1 1 92 69 22 5 1 1 1 422 417 148 33 6 1 1 1 2074 2763 | +| 112 | Baxter:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 113 | Baxter:Rev | PolyRow3 | A028872 | 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 673 726 781 | +| 114 | Baxter:Rev | PolyCol2 | missing | 1 1 3 13 69 417 2763 19609 146793 1146833 9278595 77292261 659973933 5756169681 51137399979 | +| 115 | Baxter:Rev | PolyCol3 | missing | 1 1 4 22 148 1132 9484 85066 804556 7939738 81128800 853424464 9201391456 101327618056 | +| 116 | Baxter:Rev | PolyDiag | missing | 1 1 3 22 265 4476 97447 2595874 81694881 2962057114 121428716651 5547123210960 279136817310793 | \ No newline at end of file diff --git a/data/md/Bell.md b/data/md/Bell.md index 4e3643b..2f608f7 100644 --- a/data/md/Bell.md +++ b/data/md/Bell.md @@ -1,81 +1,121 @@ -| | triangle | trait | anum | seq | -|---:|:-----------|:----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | Bell:Std | Triangle | A011971 | 1 1 2 2 3 5 5 7 10 15 15 20 27 37 52 52 67 87 114 151 203 203 255 322 409 523 674 877 877 1080 1335 | -| 1 | Bell:Std | Rev | A123346 | 1 2 1 5 3 2 15 10 7 5 52 37 27 20 15 203 151 114 87 67 52 877 674 523 409 322 255 203 4140 3263 | -| 2 | Bell:Std | Acc | missing | 1 1 3 2 5 10 5 12 22 37 15 35 62 99 151 52 119 206 320 471 674 203 458 780 1189 1712 2386 3263 877 | -| 3 | Bell:Std | AccRev | missing | 1 2 3 5 8 10 15 25 32 37 52 89 116 136 151 203 354 468 555 622 674 877 1551 2074 2483 2805 3060 | -| 4 | Bell:Std | AntiDiag | missing | 1 1 2 2 5 3 15 7 5 52 20 10 203 67 27 15 877 255 87 37 4140 1080 322 114 52 21147 5017 1335 409 151 | -| 5 | Bell:Std | Diffx1 | missing | 1 1 4 2 6 15 5 14 30 60 15 40 81 148 260 52 134 261 456 755 1218 203 510 966 1636 2615 4044 6139 | -| 6 | Bell:Std | RowSum | A005493 | 1 3 10 37 151 674 3263 17007 94828 562595 3535027 23430840 163254885 1192059223 9097183602 | -| 7 | Bell:Std | EvenSum | missing | 1 1 7 15 94 290 1925 7541 54217 254189 1979704 10725568 90086877 550986173 4964577987 33710074835 | -| 8 | Bell:Std | OddSum | missing | 0 2 3 22 57 384 1338 9466 40611 308406 1555323 12705272 73168008 641073050 4132605615 38674652822 | -| 9 | Bell:Std | AltSum | missing | 1 -1 4 -7 37 -94 587 -1925 13606 -54217 424381 -1979704 16918869 -90086877 831972372 -4964577987 | -| 10 | Bell:Std | DiagSum | missing | 1 1 4 8 27 82 312 1256 5708 28059 149742 856168 5219507 33719235 229838064 1646511704 12356491915 | -| 11 | Bell:Std | AccSum | B124325 | 1 4 17 76 362 1842 9991 57568 351125 2259302 15288000 108478124 805037105 6233693772 50257390937 | -| 12 | Bell:Std | AccRevSum | A278677 | 1 5 23 109 544 2876 16113 95495 597155 3929243 27132324 196122796 1480531285 11647194573 | -| 13 | Bell:Std | RowLcm | missing | 1 2 30 210 259740 6087317964 150538831664272170 9345270808867942826280 | -| 14 | Bell:Std | RowGcd | A087102 | 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 15 | Bell:Std | RowMax | A203645 | 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | -| 16 | Bell:Std | ColMiddle | A216078 | 1 1 3 7 27 87 409 1657 9089 43833 272947 1515903 10515147 65766991 501178937 3473600465 28773452321 | -| 17 | Bell:Std | CentralE | A094577 | 1 3 27 409 9089 272947 10515147 501178937 28773452321 1949230218691 153281759047387 | -| 18 | Bell:Std | CentralO | B020556 | 1 7 87 1657 43833 1515903 65766991 3473600465 218310229201 16035686850327 1356791248984295 | -| 19 | Bell:Std | ColLeft | A000110 | 1 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | -| 20 | Bell:Std | ColRight | A203645 | 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | -| 21 | Bell:Std | BinConv | A126390 | 1 3 13 71 457 3355 27509 248127 2434129 25741939 291397789 3510328695 44782460313 602513988107 | -| 22 | Bell:Std | TransNat0 | missing | 0 2 13 72 393 2202 12850 78488 502327 3366648 23597297 172691956 1317276400 10455135350 86200363093 | -| 23 | Bell:Std | TransNat1 | A278677 | 1 5 23 109 544 2876 16113 95495 597155 3929243 27132324 196122796 1480531285 11647194573 | -| 24 | Bell:Std | TransSqrs | missing | 0 2 23 182 1293 8932 62014 439442 3202127 24081458 187213595 1505287416 12516129504 107565432914 | -| 25 | Bell:Std | PosHalf | missing | 1 4 19 103 634 4393 33893 288158 2674849 26888251 290614732 3356438587 41203019361 535141595208 | -| 26 | Bell:Std | NegHalf | missing | 1 0 7 -17 166 -931 8333 -67902 668341 -6733957 74909152 -875130273 10931723505 -143624036492 | -| 27 | Bell:Std | DiagRow1 | A005493 | 1 3 10 37 151 674 3263 17007 94828 562595 3535027 23430840 163254885 1192059223 9097183602 | -| 28 | Bell:Std | DiagRow2 | B011965 | 2 7 27 114 523 2589 13744 77821 467767 2972432 19895813 139824045 1028804338 7905124379 63287544055 | -| 29 | Bell:Std | DiagRow3 | B011966 | 5 20 87 409 2066 11155 64077 389946 2504665 16923381 119928232 888980293 6876320041 55382419676 | -| 30 | Bell:Std | DiagCol1 | B011968 | 2 3 7 20 67 255 1080 5017 25287 137122 794545 4892167 31858034 218543759 1573857867 11863100692 | -| 31 | Bell:Std | DiagCol2 | B011969 | 5 10 27 87 322 1335 6097 30304 162409 931667 5686712 36750201 250401793 1792401626 13436958559 | -| 32 | Bell:Std | DiagCol3 | B011970 | 15 37 114 409 1657 7432 36401 192713 1094076 6618379 42436913 287151994 2042803419 15229360185 | -| 33 | Bell:Std | Poly | missing | 1 1 1 2 3 1 5 10 5 1 15 37 28 7 1 52 151 179 56 9 1 203 674 1291 521 94 11 1 877 3263 10358 5529 | -| 34 | Bell:Std | PolyRow1 | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | -| 35 | Bell:Std | PolyRow2 | missing | 2 10 28 56 94 142 200 268 346 434 532 640 758 886 1024 1172 1330 1498 1676 1864 2062 2270 2488 2716 | -| 36 | Bell:Std | PolyRow3 | missing | 5 37 179 521 1153 2165 3647 5689 8381 11813 16075 21257 27449 34741 43223 52985 64117 76709 90851 | -| 37 | Bell:Std | PolyCol2 | A095676 | 1 5 28 179 1291 10358 91337 876289 9070546 100596161 1188403063 14881408616 196696197075 | -| 38 | Bell:Std | PolyCol3 | missing | 1 7 56 521 5529 65674 860387 12290251 189680754 3139572183 55393903633 1036547906904 20482256898421 | -| 39 | Bell:Std | PolyDiag | missing | 1 3 28 521 16207 745562 46937813 3842472699 394463953204 49422836065443 7399326825281095 | -| 40 | Bell:Rev | Triangle | A123346 | 1 2 1 5 3 2 15 10 7 5 52 37 27 20 15 203 151 114 87 67 52 877 674 523 409 322 255 203 4140 3263 | -| 41 | Bell:Rev | Acc | missing | 1 2 3 5 8 10 15 25 32 37 52 89 116 136 151 203 354 468 555 622 674 877 1551 2074 2483 2805 3060 | -| 42 | Bell:Rev | AccRev | missing | 1 1 3 2 5 10 5 12 22 37 15 35 62 99 151 52 119 206 320 471 674 203 458 780 1189 1712 2386 3263 877 | -| 43 | Bell:Rev | AntiDiag | missing | 1 2 5 1 15 3 52 10 2 203 37 7 877 151 27 5 4140 674 114 20 21147 3263 523 87 15 115975 17007 2589 | -| 44 | Bell:Rev | Diffx1 | missing | 1 2 2 5 6 6 15 20 21 20 52 74 81 80 75 203 302 342 348 335 312 877 1348 1569 1636 1610 1530 1421 | -| 45 | Bell:Rev | RowSum | A005493 | 1 3 10 37 151 674 3263 17007 94828 562595 3535027 23430840 163254885 1192059223 9097183602 | -| 46 | Bell:Rev | EvenSum | missing | 1 2 7 22 94 384 1925 9466 54217 308406 1979704 12705272 90086877 641073050 4964577987 38674652822 | -| 47 | Bell:Rev | OddSum | missing | 0 1 3 15 57 290 1338 7541 40611 254189 1555323 10725568 73168008 550986173 4132605615 33710074835 | -| 48 | Bell:Rev | AltSum | missing | 1 1 4 7 37 94 587 1925 13606 54217 424381 1979704 16918869 90086877 831972372 4964577987 | -| 49 | Bell:Rev | DiagSum | missing | 1 2 6 18 64 247 1060 4948 25035 136047 789582 4867080 31721935 217753974 1568990584 11831377880 | -| 50 | Bell:Rev | AccSum | A278677 | 1 5 23 109 544 2876 16113 95495 597155 3929243 27132324 196122796 1480531285 11647194573 | -| 51 | Bell:Rev | AccRevSum | B124325 | 1 4 17 76 362 1842 9991 57568 351125 2259302 15288000 108478124 805037105 6233693772 50257390937 | -| 52 | Bell:Rev | RowLcm | missing | 1 2 30 210 259740 6087317964 150538831664272170 9345270808867942826280 | -| 53 | Bell:Rev | RowGcd | A087102 | 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 54 | Bell:Rev | RowMax | A203645 | 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | -| 55 | Bell:Rev | ColMiddle | A216332 | 1 2 3 10 27 114 409 2066 9089 52922 272947 1788850 10515147 76282138 501178937 3974779402 | -| 56 | Bell:Rev | CentralE | A094577 | 1 3 27 409 9089 272947 10515147 501178937 28773452321 1949230218691 153281759047387 | -| 57 | Bell:Rev | CentralO | A208782 | 2 10 114 2066 52922 1788850 76282138 3974779402 247083681522 17984917069018 1510073008031682 | -| 58 | Bell:Rev | ColLeft | A203645 | 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | -| 59 | Bell:Rev | ColRight | A000110 | 1 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | -| 60 | Bell:Rev | BinConv | A126390 | 1 3 13 71 457 3355 27509 248127 2434129 25741939 291397789 3510328695 44782460313 602513988107 | -| 61 | Bell:Rev | TransNat0 | A092923 | 0 1 7 39 211 1168 6728 40561 256297 1696707 11752973 85047284 641782220 5041634549 41160207335 | -| 62 | Bell:Rev | TransNat1 | B124325 | 1 4 17 76 362 1842 9991 57568 351125 2259302 15288000 108478124 805037105 6233693772 50257390937 | -| 63 | Bell:Rev | TransSqrs | missing | 0 1 11 83 565 3762 25282 173953 1233887 9051989 68770355 541196024 4410199344 37189922501 | -| 64 | Bell:Rev | PosHalf | A095676 | 1 5 28 179 1291 10358 91337 876289 9070546 100596161 1188403063 14881408616 196696197075 | -| 65 | Bell:Rev | NegHalf | missing | 1 -3 16 -89 619 -4726 40637 -380079 3863854 -42154987 491379103 -6080324316 79542696711 | -| 66 | Bell:Rev | DiagRow1 | B011968 | 2 3 7 20 67 255 1080 5017 25287 137122 794545 4892167 31858034 218543759 1573857867 11863100692 | -| 67 | Bell:Rev | DiagRow2 | B011969 | 5 10 27 87 322 1335 6097 30304 162409 931667 5686712 36750201 250401793 1792401626 13436958559 | -| 68 | Bell:Rev | DiagRow3 | B011970 | 15 37 114 409 1657 7432 36401 192713 1094076 6618379 42436913 287151994 2042803419 15229360185 | -| 69 | Bell:Rev | DiagCol1 | A005493 | 1 3 10 37 151 674 3263 17007 94828 562595 3535027 23430840 163254885 1192059223 9097183602 | -| 70 | Bell:Rev | DiagCol2 | B011965 | 2 7 27 114 523 2589 13744 77821 467767 2972432 19895813 139824045 1028804338 7905124379 63287544055 | -| 71 | Bell:Rev | DiagCol3 | B011966 | 5 20 87 409 2066 11155 64077 389946 2504665 16923381 119928232 888980293 6876320041 55382419676 | -| 72 | Bell:Rev | Poly | missing | 1 2 1 5 3 1 15 10 4 1 52 37 19 5 1 203 151 103 32 6 1 877 674 634 243 49 7 1 4140 3263 4393 2161 | -| 73 | Bell:Rev | PolyRow1 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | -| 74 | Bell:Rev | PolyRow2 | missing | 5 10 19 32 49 70 95 124 157 194 235 280 329 382 439 500 565 634 707 784 865 950 1039 1132 1229 1330 | -| 75 | Bell:Rev | PolyRow3 | missing | 15 37 103 243 487 865 1407 2143 3103 4317 5815 7627 9783 12313 15247 18615 22447 26773 31623 37027 | -| 76 | Bell:Rev | PolyCol2 | missing | 1 4 19 103 634 4393 33893 288158 2674849 26888251 290614732 3356438587 41203019361 535141595208 | -| 77 | Bell:Rev | PolyCol3 | missing | 1 5 32 243 2161 22094 254683 3256953 45618666 692724613 11311059297 197274441832 3654815145445 | -| 78 | Bell:Rev | PolyDiag | missing | 1 3 19 243 5752 219058 11983453 876586413 81864886291 9448581092347 1315300140417220 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:-----------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | Bell:Std | Triangle | A011971 | 1 1 2 2 3 5 5 7 10 15 15 20 27 37 52 52 67 87 114 151 203 203 255 322 409 523 674 877 877 1080 1335 | +| 1 | Bell:Std | Rev | A123346 | 1 2 1 5 3 2 15 10 7 5 52 37 27 20 15 203 151 114 87 67 52 877 674 523 409 322 255 203 4140 3263 | +| 2 | Bell:Std | Acc | missing | 1 1 3 2 5 10 5 12 22 37 15 35 62 99 151 52 119 206 320 471 674 203 458 780 1189 1712 2386 3263 877 | +| 3 | Bell:Std | AccRev | missing | 1 2 3 5 8 10 15 25 32 37 52 89 116 136 151 203 354 468 555 622 674 877 1551 2074 2483 2805 3060 | +| 4 | Bell:Std | AntiDiag | missing | 1 1 2 2 5 3 15 7 5 52 20 10 203 67 27 15 877 255 87 37 4140 1080 322 114 52 21147 5017 1335 409 151 | +| 5 | Bell:Std | Diffx1 | missing | 1 1 4 2 6 15 5 14 30 60 15 40 81 148 260 52 134 261 456 755 1218 203 510 966 1636 2615 4044 6139 | +| 6 | Bell:Std | RowSum | A005493 | 1 3 10 37 151 674 3263 17007 94828 562595 3535027 23430840 163254885 1192059223 9097183602 | +| 7 | Bell:Std | EvenSum | missing | 1 1 7 15 94 290 1925 7541 54217 254189 1979704 10725568 90086877 550986173 4964577987 33710074835 | +| 8 | Bell:Std | OddSum | missing | 0 2 3 22 57 384 1338 9466 40611 308406 1555323 12705272 73168008 641073050 4132605615 38674652822 | +| 9 | Bell:Std | AltSum | missing | 1 -1 4 -7 37 -94 587 -1925 13606 -54217 424381 -1979704 16918869 -90086877 831972372 -4964577987 | +| 10 | Bell:Std | DiagSum | missing | 1 1 4 8 27 82 312 1256 5708 28059 149742 856168 5219507 33719235 229838064 1646511704 12356491915 | +| 11 | Bell:Std | AccSum | B124325 | 1 4 17 76 362 1842 9991 57568 351125 2259302 15288000 108478124 805037105 6233693772 50257390937 | +| 12 | Bell:Std | AccRevSum | A278677 | 1 5 23 109 544 2876 16113 95495 597155 3929243 27132324 196122796 1480531285 11647194573 | +| 13 | Bell:Std | RowLcm | missing | 1 2 30 210 259740 6087317964 150538831664272170 9345270808867942826280 | +| 14 | Bell:Std | RowGcd | A087102 | 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 15 | Bell:Std | RowMax | A203645 | 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | +| 16 | Bell:Std | ColMiddle | A216078 | 1 1 3 7 27 87 409 1657 9089 43833 272947 1515903 10515147 65766991 501178937 3473600465 28773452321 | +| 17 | Bell:Std | CentralE | A094577 | 1 3 27 409 9089 272947 10515147 501178937 28773452321 1949230218691 153281759047387 | +| 18 | Bell:Std | CentralO | B020556 | 1 7 87 1657 43833 1515903 65766991 3473600465 218310229201 16035686850327 1356791248984295 | +| 19 | Bell:Std | ColLeft | A000110 | 1 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | +| 20 | Bell:Std | ColRight | A203645 | 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | +| 21 | Bell:Std | BinConv | A126390 | 1 3 13 71 457 3355 27509 248127 2434129 25741939 291397789 3510328695 44782460313 602513988107 | +| 22 | Bell:Std | TransNat0 | missing | 0 2 13 72 393 2202 12850 78488 502327 3366648 23597297 172691956 1317276400 10455135350 86200363093 | +| 23 | Bell:Std | TransNat1 | A278677 | 1 5 23 109 544 2876 16113 95495 597155 3929243 27132324 196122796 1480531285 11647194573 | +| 24 | Bell:Std | TransSqrs | missing | 0 2 23 182 1293 8932 62014 439442 3202127 24081458 187213595 1505287416 12516129504 107565432914 | +| 25 | Bell:Std | PosHalf | missing | 1 4 19 103 634 4393 33893 288158 2674849 26888251 290614732 3356438587 41203019361 535141595208 | +| 26 | Bell:Std | NegHalf | missing | 1 0 7 -17 166 -931 8333 -67902 668341 -6733957 74909152 -875130273 10931723505 -143624036492 | +| 27 | Bell:Std | DiagRow1 | A005493 | 1 3 10 37 151 674 3263 17007 94828 562595 3535027 23430840 163254885 1192059223 9097183602 | +| 28 | Bell:Std | DiagRow2 | B011965 | 2 7 27 114 523 2589 13744 77821 467767 2972432 19895813 139824045 1028804338 7905124379 63287544055 | +| 29 | Bell:Std | DiagRow3 | B011966 | 5 20 87 409 2066 11155 64077 389946 2504665 16923381 119928232 888980293 6876320041 55382419676 | +| 30 | Bell:Std | DiagCol1 | B011968 | 2 3 7 20 67 255 1080 5017 25287 137122 794545 4892167 31858034 218543759 1573857867 11863100692 | +| 31 | Bell:Std | DiagCol2 | B011969 | 5 10 27 87 322 1335 6097 30304 162409 931667 5686712 36750201 250401793 1792401626 13436958559 | +| 32 | Bell:Std | DiagCol3 | B011970 | 15 37 114 409 1657 7432 36401 192713 1094076 6618379 42436913 287151994 2042803419 15229360185 | +| 33 | Bell:Std | Poly | missing | 1 1 1 2 3 1 5 10 5 1 15 37 28 7 1 52 151 179 56 9 1 203 674 1291 521 94 11 1 877 3263 10358 5529 | +| 34 | Bell:Std | PolyRow1 | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | +| 35 | Bell:Std | PolyRow2 | missing | 2 10 28 56 94 142 200 268 346 434 532 640 758 886 1024 1172 1330 1498 1676 1864 2062 2270 2488 2716 | +| 36 | Bell:Std | PolyRow3 | missing | 5 37 179 521 1153 2165 3647 5689 8381 11813 16075 21257 27449 34741 43223 52985 64117 76709 90851 | +| 37 | Bell:Std | PolyCol2 | A095676 | 1 5 28 179 1291 10358 91337 876289 9070546 100596161 1188403063 14881408616 196696197075 | +| 38 | Bell:Std | PolyCol3 | missing | 1 7 56 521 5529 65674 860387 12290251 189680754 3139572183 55393903633 1036547906904 20482256898421 | +| 39 | Bell:Std | PolyDiag | missing | 1 3 28 521 16207 745562 46937813 3842472699 394463953204 49422836065443 7399326825281095 | +| 40 | Bell:Alt | Triangle | A011971 | 1 1 -2 2 -3 5 5 -7 10 -15 15 -20 27 -37 52 52 -67 87 -114 151 -203 203 -255 322 -409 523 -674 877 | +| 41 | Bell:Alt | Rev | A123346 | 1 -2 1 5 -3 2 -15 10 -7 5 52 -37 27 -20 15 -203 151 -114 87 -67 52 877 -674 523 -409 322 -255 203 | +| 42 | Bell:Alt | Acc | missing | 1 1 -1 2 -1 4 5 -2 8 -7 15 -5 22 -15 37 52 -15 72 -42 109 -94 203 -52 270 -139 384 -290 587 877 | +| 43 | Bell:Alt | AccRev | missing | 1 -2 -1 5 2 4 -15 -5 -12 -7 52 15 42 22 37 -203 -52 -166 -79 -146 -94 877 203 726 317 639 384 587 | +| 44 | Bell:Alt | AntiDiag | missing | 1 1 2 -2 5 -3 15 -7 5 52 -20 10 203 -67 27 -15 877 -255 87 -37 4140 -1080 322 -114 52 21147 -5017 | +| 45 | Bell:Alt | Diffx1 | missing | 1 1 -4 2 -6 15 5 -14 30 -60 15 -40 81 -148 260 52 -134 261 -456 755 -1218 203 -510 966 -1636 2615 | +| 46 | Bell:Alt | RowSum | missing | 1 -1 4 -7 37 -94 587 -1925 13606 -54217 424381 -1979704 16918869 -90086877 831972372 -4964577987 | +| 47 | Bell:Alt | EvenSum | missing | 1 1 7 15 94 290 1925 7541 54217 254189 1979704 10725568 90086877 550986173 4964577987 33710074835 | +| 48 | Bell:Alt | OddSum | missing | 0 -2 -3 -22 -57 -384 -1338 -9466 -40611 -308406 -1555323 -12705272 -73168008 -641073050 -4132605615 | +| 49 | Bell:Alt | AltSum | A005493 | 1 3 10 37 151 674 3263 17007 94828 562595 3535027 23430840 163254885 1192059223 9097183602 | +| 50 | Bell:Alt | DiagSum | missing | 1 1 0 2 13 42 148 672 3320 17207 95448 565712 3552437 23527165 163819720 1195607520 9120714907 | +| 51 | Bell:Alt | AccSum | missing | 1 0 5 4 54 82 963 2064 24401 66426 816840 2673148 34511241 131212000 1782125101 7690316816 | +| 52 | Bell:Alt | AccRevSum | missing | 1 -3 11 -39 168 -740 3733 -19389 111659 -662813 4275732 -28409300 202352925 -1482515155 11529432851 | +| 53 | Bell:Alt | RowLcm | missing | 1 2 30 210 259740 6087317964 150538831664272170 9345270808867942826280 | +| 54 | Bell:Alt | RowGcd | A087102 | 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 55 | Bell:Alt | RowMax | A203645 | 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | +| 56 | Bell:Alt | ColMiddle | A216078 | 1 1 -3 -7 27 87 -409 -1657 9089 43833 -272947 -1515903 10515147 65766991 -501178937 -3473600465 | +| 57 | Bell:Alt | CentralE | A094577 | 1 -3 27 -409 9089 -272947 10515147 -501178937 28773452321 -1949230218691 153281759047387 | +| 58 | Bell:Alt | CentralO | B020556 | 1 -7 87 -1657 43833 -1515903 65766991 -3473600465 218310229201 -16035686850327 1356791248984295 | +| 59 | Bell:Alt | ColLeft | A000110 | 1 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | +| 60 | Bell:Alt | ColRight | A203645 | 1 -2 5 -15 52 -203 877 -4140 21147 -115975 678570 -4213597 27644437 -190899322 1382958545 | +| 61 | Bell:Alt | InvBinConv | A126390 | 1 -3 13 -71 457 -3355 27509 -248127 2434129 -25741939 291397789 -3510328695 44782460313 | +| 62 | Bell:Alt | TransNat0 | missing | 0 -2 7 -32 131 -646 3146 -17464 98053 -608596 3851351 -26429596 185434056 -1392428278 10697460479 | +| 63 | Bell:Alt | TransNat1 | missing | 1 -3 11 -39 168 -740 3733 -19389 111659 -662813 4275732 -28409300 202352925 -1482515155 11529432851 | +| 64 | Bell:Alt | TransSqrs | missing | 0 -2 17 -102 587 -3404 20442 -127714 833881 -5684842 40468069 -300257112 2319609440 -18624360050 | +| 65 | Bell:Alt | PosHalf | missing | 1 0 7 17 166 931 8333 67902 668341 6733957 74909152 875130273 10931723505 143624036492 | +| 66 | Bell:Alt | NegHalf | missing | 1 -4 19 -103 634 -4393 33893 -288158 2674849 -26888251 290614732 -3356438587 41203019361 | +| 67 | Bell:Alt | DiagRow1 | A005493 | 1 -3 10 -37 151 -674 3263 -17007 94828 -562595 3535027 -23430840 163254885 -1192059223 9097183602 | +| 68 | Bell:Alt | DiagRow2 | B011965 | 2 -7 27 -114 523 -2589 13744 -77821 467767 -2972432 19895813 -139824045 1028804338 -7905124379 | +| 69 | Bell:Alt | DiagRow3 | B011966 | 5 -20 87 -409 2066 -11155 64077 -389946 2504665 -16923381 119928232 -888980293 6876320041 | +| 70 | Bell:Alt | DiagCol1 | B011968 | -2 -3 -7 -20 -67 -255 -1080 -5017 -25287 -137122 -794545 -4892167 -31858034 -218543759 -1573857867 | +| 71 | Bell:Alt | DiagCol2 | B011969 | 5 10 27 87 322 1335 6097 30304 162409 931667 5686712 36750201 250401793 1792401626 13436958559 | +| 72 | Bell:Alt | DiagCol3 | B011970 | -15 -37 -114 -409 -1657 -7432 -36401 -192713 -1094076 -6618379 -42436913 -287151994 -2042803419 | +| 73 | Bell:Alt | Poly | missing | 1 1 1 2 -1 1 5 4 -3 1 15 -7 16 -5 1 52 37 -89 38 -7 1 203 -94 619 -331 70 -9 1 877 587 -4726 3411 | +| 74 | Bell:Alt | PolyRow1 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | +| 75 | Bell:Alt | PolyRow2 | missing | 2 4 16 38 70 112 164 226 298 380 472 574 686 808 940 1082 1234 1396 1568 1750 1942 2144 2356 2578 | +| 76 | Bell:Alt | PolyRow3 | missing | 5 -7 -89 -331 -823 -1655 -2917 -4699 -7091 -10183 -14065 -18827 -24559 -31351 -39293 -48475 -58987 | +| 77 | Bell:Alt | PolyCol2 | missing | 1 -3 16 -89 619 -4726 40637 -380079 3863854 -42154987 491379103 -6080324316 79542696711 | +| 78 | Bell:Alt | PolyCol3 | missing | 1 -5 38 -331 3411 -39542 509207 -7172321 109439376 -1794126189 31397283583 -583367343864 | +| 79 | Bell:Alt | PolyDiag | missing | 1 -1 16 -331 11311 -552358 36276017 -3064641809 322392680356 -41190080729385 6266282927712655 | +| 80 | Bell:Rev | Triangle | A123346 | 1 2 1 5 3 2 15 10 7 5 52 37 27 20 15 203 151 114 87 67 52 877 674 523 409 322 255 203 4140 3263 | +| 81 | Bell:Rev | Acc | missing | 1 2 3 5 8 10 15 25 32 37 52 89 116 136 151 203 354 468 555 622 674 877 1551 2074 2483 2805 3060 | +| 82 | Bell:Rev | AccRev | missing | 1 1 3 2 5 10 5 12 22 37 15 35 62 99 151 52 119 206 320 471 674 203 458 780 1189 1712 2386 3263 877 | +| 83 | Bell:Rev | AntiDiag | missing | 1 2 5 1 15 3 52 10 2 203 37 7 877 151 27 5 4140 674 114 20 21147 3263 523 87 15 115975 17007 2589 | +| 84 | Bell:Rev | Diffx1 | missing | 1 2 2 5 6 6 15 20 21 20 52 74 81 80 75 203 302 342 348 335 312 877 1348 1569 1636 1610 1530 1421 | +| 85 | Bell:Rev | RowSum | A005493 | 1 3 10 37 151 674 3263 17007 94828 562595 3535027 23430840 163254885 1192059223 9097183602 | +| 86 | Bell:Rev | EvenSum | missing | 1 2 7 22 94 384 1925 9466 54217 308406 1979704 12705272 90086877 641073050 4964577987 38674652822 | +| 87 | Bell:Rev | OddSum | missing | 0 1 3 15 57 290 1338 7541 40611 254189 1555323 10725568 73168008 550986173 4132605615 33710074835 | +| 88 | Bell:Rev | AltSum | missing | 1 1 4 7 37 94 587 1925 13606 54217 424381 1979704 16918869 90086877 831972372 4964577987 | +| 89 | Bell:Rev | DiagSum | missing | 1 2 6 18 64 247 1060 4948 25035 136047 789582 4867080 31721935 217753974 1568990584 11831377880 | +| 90 | Bell:Rev | AccSum | A278677 | 1 5 23 109 544 2876 16113 95495 597155 3929243 27132324 196122796 1480531285 11647194573 | +| 91 | Bell:Rev | AccRevSum | B124325 | 1 4 17 76 362 1842 9991 57568 351125 2259302 15288000 108478124 805037105 6233693772 50257390937 | +| 92 | Bell:Rev | RowLcm | missing | 1 2 30 210 259740 6087317964 150538831664272170 9345270808867942826280 | +| 93 | Bell:Rev | RowGcd | A087102 | 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 94 | Bell:Rev | RowMax | A203645 | 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | +| 95 | Bell:Rev | ColMiddle | A216332 | 1 2 3 10 27 114 409 2066 9089 52922 272947 1788850 10515147 76282138 501178937 3974779402 | +| 96 | Bell:Rev | CentralE | A094577 | 1 3 27 409 9089 272947 10515147 501178937 28773452321 1949230218691 153281759047387 | +| 97 | Bell:Rev | CentralO | A208782 | 2 10 114 2066 52922 1788850 76282138 3974779402 247083681522 17984917069018 1510073008031682 | +| 98 | Bell:Rev | ColLeft | A203645 | 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | +| 99 | Bell:Rev | ColRight | A000110 | 1 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | +| 100 | Bell:Rev | BinConv | A126390 | 1 3 13 71 457 3355 27509 248127 2434129 25741939 291397789 3510328695 44782460313 602513988107 | +| 101 | Bell:Rev | TransNat0 | A092923 | 0 1 7 39 211 1168 6728 40561 256297 1696707 11752973 85047284 641782220 5041634549 41160207335 | +| 102 | Bell:Rev | TransNat1 | B124325 | 1 4 17 76 362 1842 9991 57568 351125 2259302 15288000 108478124 805037105 6233693772 50257390937 | +| 103 | Bell:Rev | TransSqrs | missing | 0 1 11 83 565 3762 25282 173953 1233887 9051989 68770355 541196024 4410199344 37189922501 | +| 104 | Bell:Rev | PosHalf | A095676 | 1 5 28 179 1291 10358 91337 876289 9070546 100596161 1188403063 14881408616 196696197075 | +| 105 | Bell:Rev | NegHalf | missing | 1 -3 16 -89 619 -4726 40637 -380079 3863854 -42154987 491379103 -6080324316 79542696711 | +| 106 | Bell:Rev | DiagRow1 | B011968 | 2 3 7 20 67 255 1080 5017 25287 137122 794545 4892167 31858034 218543759 1573857867 11863100692 | +| 107 | Bell:Rev | DiagRow2 | B011969 | 5 10 27 87 322 1335 6097 30304 162409 931667 5686712 36750201 250401793 1792401626 13436958559 | +| 108 | Bell:Rev | DiagRow3 | B011970 | 15 37 114 409 1657 7432 36401 192713 1094076 6618379 42436913 287151994 2042803419 15229360185 | +| 109 | Bell:Rev | DiagCol1 | A005493 | 1 3 10 37 151 674 3263 17007 94828 562595 3535027 23430840 163254885 1192059223 9097183602 | +| 110 | Bell:Rev | DiagCol2 | B011965 | 2 7 27 114 523 2589 13744 77821 467767 2972432 19895813 139824045 1028804338 7905124379 63287544055 | +| 111 | Bell:Rev | DiagCol3 | B011966 | 5 20 87 409 2066 11155 64077 389946 2504665 16923381 119928232 888980293 6876320041 55382419676 | +| 112 | Bell:Rev | Poly | missing | 1 2 1 5 3 1 15 10 4 1 52 37 19 5 1 203 151 103 32 6 1 877 674 634 243 49 7 1 4140 3263 4393 2161 | +| 113 | Bell:Rev | PolyRow1 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | +| 114 | Bell:Rev | PolyRow2 | missing | 5 10 19 32 49 70 95 124 157 194 235 280 329 382 439 500 565 634 707 784 865 950 1039 1132 1229 1330 | +| 115 | Bell:Rev | PolyRow3 | missing | 15 37 103 243 487 865 1407 2143 3103 4317 5815 7627 9783 12313 15247 18615 22447 26773 31623 37027 | +| 116 | Bell:Rev | PolyCol2 | missing | 1 4 19 103 634 4393 33893 288158 2674849 26888251 290614732 3356438587 41203019361 535141595208 | +| 117 | Bell:Rev | PolyCol3 | missing | 1 5 32 243 2161 22094 254683 3256953 45618666 692724613 11311059297 197274441832 3654815145445 | +| 118 | Bell:Rev | PolyDiag | missing | 1 3 19 243 5752 219058 11983453 876586413 81864886291 9448581092347 1315300140417220 | \ No newline at end of file diff --git a/data/md/Bessel.md b/data/md/Bessel.md index b0d119a..2f695c9 100644 --- a/data/md/Bessel.md +++ b/data/md/Bessel.md @@ -41,119 +41,160 @@ | 38 | Bessel:Std | PolyCol2 | A107104 | 1 2 6 26 154 1182 11254 128522 1715802 26251118 453132214 8714516538 184817376154 4285657717694 | | 39 | Bessel:Std | PolyCol3 | missing | 1 3 12 63 423 3528 35559 422901 5817744 91072269 1600588269 31230827532 670252672593 15696888917427 | | 40 | Bessel:Std | PolyDiag | missing | 1 1 6 63 940 18150 429786 12051697 390433464 14347598445 589633486750 26794524373716 | -| 41 | Bessel:Rev | Triangle | B104548 | 1 1 0 1 1 0 1 3 3 0 1 6 15 15 0 1 10 45 105 105 0 1 15 105 420 945 945 0 1 21 210 1260 4725 10395 | -| 42 | Bessel:Rev | InvRev | A122848 | 1 0 1 0 -1 1 0 0 -3 1 0 0 3 -6 1 0 0 0 15 -10 1 0 0 0 -15 45 -15 1 0 0 0 0 -105 105 -21 1 0 0 0 0 | -| 43 | Bessel:Rev | Acc | missing | 1 1 1 1 2 2 1 4 7 7 1 7 22 37 37 1 11 56 161 266 266 1 16 121 541 1486 2431 2431 1 22 232 1492 6217 | -| 44 | Bessel:Rev | AccRev | missing | 1 0 1 0 1 2 0 3 6 7 0 15 30 36 37 0 105 210 255 265 266 0 945 1890 2310 2415 2430 2431 0 10395 | -| 45 | Bessel:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 3 0 1 6 3 1 10 15 0 1 15 45 15 1 21 105 105 0 1 28 210 420 105 1 36 378 1260 945 0 1 | -| 46 | Bessel:Rev | Diffx1 | missing | 1 1 0 1 2 0 1 6 9 0 1 12 45 60 0 1 20 135 420 525 0 1 30 315 1680 4725 5670 0 1 42 630 5040 23625 | -| 47 | Bessel:Rev | RowSum | A144301 | 1 1 2 7 37 266 2431 27007 353522 5329837 90960751 1733584106 36496226977 841146804577 | -| 48 | Bessel:Rev | EvenSum | missing | 1 1 1 4 16 151 1051 15331 152839 3025576 39325276 984099601 15778499881 477491822809 9107153044081 | -| 49 | Bessel:Rev | OddSum | missing | 0 0 1 3 21 115 1380 11676 200683 2304261 51635475 749484505 20717727096 363654981768 11958013297321 | -| 50 | Bessel:Rev | AltSum | A000806 | 1 1 0 1 -5 36 -329 3655 -47844 721315 -12310199 234615096 -4939227215 113836841041 -2850860253240 | -| 51 | Bessel:Rev | DiagSum | A000085 | 1 1 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 | -| 52 | Bessel:Rev | AccSum | missing | 1 2 5 19 104 761 7027 78590 1033559 15635989 267552416 5109791567 107755096825 2486944186754 | -| 53 | Bessel:Rev | AccRevSum | missing | 1 1 3 16 118 1101 12421 164473 2501661 42992218 823976596 17426801811 403192080853 10130257881901 | -| 54 | Bessel:Rev | RowLcm | missing | 1 1 1 3 30 630 3780 207900 8108100 56756700 1929727800 329983453800 549972423000 139143023019000 | -| 55 | Bessel:Rev | RowGcd | B069834 | 1 1 1 3 3 5 15 21 7 9 45 55 33 39 91 105 15 17 153 171 95 105 231 253 69 75 325 351 189 203 435 465 | -| 56 | Bessel:Rev | RowMax | A330797 | 1 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | -| 57 | Bessel:Rev | ColMiddle | missing | 1 1 1 3 15 45 420 1260 17325 51975 945945 2837835 64324260 192972780 5237832600 15713497800 | -| 58 | Bessel:Rev | CentralE | missing | 1 1 15 420 17325 945945 64324260 5237832600 496939367925 53835098191875 6557114959770375 | -| 59 | Bessel:Rev | CentralO | A245066 | 1 3 45 1260 51975 2837835 192972780 15713497800 1490818103775 161505294575625 19671344879311125 | -| 60 | Bessel:Rev | BinConv | missing | 1 1 3 19 175 2076 29911 505093 9757539 211883500 5102919316 134868653976 3878398876573 | -| 61 | Bessel:Rev | InvBinConv | missing | 1 -1 -1 -1 7 124 1591 19991 256691 3335228 41759236 430787224 595905949 -182463444151 | -| 62 | Bessel:Rev | TransNat0 | A001514 | 0 0 1 9 81 835 9990 137466 2148139 37662381 733015845 15693217705 366695853876 9289111077324 | -| 63 | Bessel:Rev | TransNat1 | missing | 1 1 3 16 118 1101 12421 164473 2501661 42992218 823976596 17426801811 403192080853 10130257881901 | -| 64 | Bessel:Rev | TransSqrs | missing | 0 0 1 15 201 2815 42960 721896 13352815 270761121 5987420055 143614598545 3717414399336 | -| 65 | Bessel:Rev | PosHalf | A107104 | 1 2 6 26 154 1182 11254 128522 1715802 26251118 453132214 8714516538 184817376154 4285657717694 | -| 66 | Bessel:Rev | NegHalf | missing | 1 -2 2 -2 -2 -22 -206 -2354 -31426 -480806 -8299406 -159611938 -3385048322 -78494559158 | -| 67 | Bessel:Rev | DiagRow1 | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | -| 68 | Bessel:Rev | DiagRow2 | B001147 | 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | -| 69 | Bessel:Rev | DiagRow3 | A001879 | 1 6 45 420 4725 62370 945945 16216200 310134825 6547290750 151242416325 3794809718700 | -| 70 | Bessel:Rev | DiagCol1 | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | -| 71 | Bessel:Rev | DiagCol2 | B050534 | 0 3 15 45 105 210 378 630 990 1485 2145 3003 4095 5460 7140 9180 11628 14535 17955 21945 26565 | -| 72 | Bessel:Rev | DiagCol3 | B240440 | 0 15 105 420 1260 3150 6930 13860 25740 45045 75075 120120 185640 278460 406980 581400 813960 | -| 73 | Bessel:Rev | Poly | missing | 1 1 1 1 1 1 1 2 1 1 1 7 3 1 1 1 37 19 4 1 1 1 266 193 37 5 1 1 1 2431 2721 559 61 6 1 1 1 27007 | -| 74 | Bessel:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 75 | Bessel:Rev | PolyRow3 | A003215 | 1 7 19 37 61 91 127 169 217 271 331 397 469 547 631 721 817 919 1027 1141 1261 1387 1519 1657 1801 | -| 76 | Bessel:Rev | PolyCol2 | A080893 | 1 1 3 19 193 2721 49171 1084483 28245729 848456353 28875761731 1098127402131 46150226651233 | -| 77 | Bessel:Rev | PolyCol3 | A001518 | 1 1 4 37 559 11776 318511 10522639 410701432 18492087079 943507142461 53798399207356 | -| 78 | Bessel:Rev | PolyDiag | missing | 1 1 3 37 1225 79926 8667631 1409457463 320939805537 97470996613525 38072355184809451 | -| 79 | Bessel:Inv | Triangle | A122848 | 1 0 1 0 -1 1 0 0 -3 1 0 0 3 -6 1 0 0 0 15 -10 1 0 0 0 -15 45 -15 1 0 0 0 0 -105 105 -21 1 0 0 0 0 | -| 80 | Bessel:Inv | Rev | A144299 | 1 1 0 1 -1 0 1 -3 0 0 1 -6 3 0 0 1 -10 15 0 0 0 1 -15 45 -15 0 0 0 1 -21 105 -105 0 0 0 0 1 -28 210 | -| 81 | Bessel:Inv | RevInv | B104548 | 1 1 0 1 1 0 1 3 3 0 1 6 15 15 0 1 10 45 105 105 0 1 15 105 420 945 945 0 1 21 210 1260 4725 10395 | -| 82 | Bessel:Inv | Acc | missing | 1 0 1 0 -1 0 0 0 -3 -2 0 0 3 -3 -2 0 0 0 15 5 6 0 0 0 -15 30 15 16 0 0 0 0 -105 0 -21 -20 0 0 0 0 | -| 83 | Bessel:Inv | AccRev | missing | 1 1 1 1 0 0 1 -2 -2 -2 1 -5 -2 -2 -2 1 -9 6 6 6 6 1 -14 31 16 16 16 16 1 -20 85 -20 -20 -20 -20 -20 | -| 84 | Bessel:Inv | AntiDiag | missing | 1 0 0 1 0 -1 0 0 1 0 0 -3 0 0 3 1 0 0 0 -6 0 0 0 15 1 0 0 0 -15 -10 0 0 0 0 45 1 0 0 0 0 -105 -15 0 | -| 85 | Bessel:Inv | Diffx1 | missing | 1 0 2 0 -2 3 0 0 -9 4 0 0 9 -24 5 0 0 0 60 -50 6 0 0 0 -60 225 -90 7 0 0 0 0 -525 630 -147 8 0 0 0 | -| 86 | Bessel:Inv | RowSum | A001464 | 1 1 0 -2 -2 6 16 -20 -132 28 1216 936 -12440 -23672 138048 469456 -1601264 -9112560 18108928 | -| 87 | Bessel:Inv | EvenSum | A085386 | 1 0 1 -3 4 -10 46 -126 316 -1296 5356 -17380 63856 -296088 1264264 -4940040 22302736 -110455936 | -| 88 | Bessel:Inv | OddSum | missing | 0 1 -1 1 -6 16 -30 106 -448 1324 -4140 18316 -76296 272416 -1126216 5409496 -23904000 101343376 | -| 89 | Bessel:Inv | AltSum | A000085 | 1 -1 2 -4 10 -26 76 -232 764 -2620 9496 -35696 140152 -568504 2390480 -10349536 46206736 -211799312 | -| 90 | Bessel:Inv | DiagSum | A122849 | 1 0 1 -1 1 -3 4 -6 16 -25 46 -120 211 -441 1156 -2233 5104 -13581 28351 -69345 188101 -419320 | -| 91 | Bessel:Inv | AccSum | missing | 1 1 -1 -5 -2 26 46 -146 -580 748 7156 -604 -92696 -96680 1270088 2955016 -18167024 -72958576 | -| 92 | Bessel:Inv | AccRevSum | missing | 1 2 1 -5 -10 16 82 -34 -740 -440 7436 12772 -81464 -258400 938680 5025736 -10655728 -100180064 | -| 93 | Bessel:Inv | RowLcm | missing | 1 1 1 3 6 30 45 105 420 3780 9450 103950 623700 540540 945945 14189175 113513400 1929727800 | -| 94 | Bessel:Inv | RowGcd | B069834 | 1 1 1 3 3 5 15 21 7 9 45 55 33 39 91 105 15 17 153 171 95 105 231 253 69 75 325 351 189 203 435 465 | -| 95 | Bessel:Inv | RowMax | missing | 1 1 1 3 6 15 45 105 420 1260 4725 17325 62370 270270 945945 4729725 18918900 91891800 413513100 | -| 96 | Bessel:Inv | ColMiddle | A123023 | 1 0 -1 0 3 0 -15 0 105 0 -945 0 10395 0 -135135 0 2027025 0 -34459425 0 654729075 0 -13749310575 0 | -| 97 | Bessel:Inv | CentralE | A001147 | 1 -1 3 -15 105 -945 10395 -135135 2027025 -34459425 654729075 -13749310575 316234143225 | -| 98 | Bessel:Inv | BinConv | missing | 1 1 -1 -8 -5 101 286 -1616 -10513 26515 404011 -174844 -17016416 -26519648 782613560 2994914896 | -| 99 | Bessel:Inv | InvBinConv | missing | 1 1 3 10 43 201 1066 6028 36975 238843 1637191 11718246 87877648 683880640 5530539288 46195085056 | -| 100 | Bessel:Inv | TransNat0 | missing | 0 1 1 -3 -8 10 66 -14 -608 -468 6220 11836 -69024 -234728 800632 4556280 -9054464 -91067504 | -| 101 | Bessel:Inv | TransNat1 | missing | 1 2 1 -5 -10 16 82 -34 -740 -440 7436 12772 -81464 -258400 938680 5025736 -10655728 -100180064 | -| 102 | Bessel:Inv | TransSqrs | missing | 0 1 3 -3 -26 0 246 238 -2568 -5436 28900 105996 -337512 -2055248 3795624 41212200 -32229824 | -| 103 | Bessel:Inv | PosHalf | A000321 | 1 1 -1 -5 1 41 31 -461 -895 6481 22591 -107029 -604031 1964665 17669471 -37341149 -567425279 | -| 104 | Bessel:Inv | NegHalf | A047974 | 1 1 3 7 25 81 331 1303 5937 26785 133651 669351 3609673 19674097 113525595 664400311 4070168161 | -| 105 | Bessel:Inv | DiagRow1 | A000217 | 0 -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 | -| 106 | Bessel:Inv | DiagRow2 | B050534 | 0 0 3 15 45 105 210 378 630 990 1485 2145 3003 4095 5460 7140 9180 11628 14535 17955 21945 26565 | -| 107 | Bessel:Inv | DiagRow3 | A240440 | 0 0 0 -15 -105 -420 -1260 -3150 -6930 -13860 -25740 -45045 -75075 -120120 -185640 -278460 -406980 | -| 108 | Bessel:Inv | DiagCol1 | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 109 | Bessel:Inv | DiagCol2 | B000007 | 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 110 | Bessel:Inv | DiagCol3 | missing | 1 -6 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 111 | Bessel:Inv | Poly | missing | 1 0 1 0 1 1 0 0 2 1 0 -2 2 3 1 0 -2 -4 6 4 1 0 6 -20 0 12 5 1 0 16 -8 -54 16 20 6 1 0 -20 184 -162 | -| 112 | Bessel:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 113 | Bessel:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | -| 114 | Bessel:Inv | PolyRow3 | missing | 0 -2 -4 0 16 50 108 196 320 486 700 968 1296 1690 2156 2700 3328 4046 4860 5776 6800 7938 9196 | -| 115 | Bessel:Inv | PolyCol2 | A062267 | 1 2 2 -4 -20 -8 184 464 -1648 -10720 8224 230848 280768 -4978816 -17257600 104891648 727511296 | -| 116 | Bessel:Inv | PolyCol3 | missing | 1 3 6 0 -54 -162 324 3888 4860 -78732 -367416 1259712 15903864 2361960 -613164816 -1938696768 | -| 117 | Bessel:Inv | PolyDiag | missing | 1 1 2 0 -80 -1250 -14904 -134456 -225280 31886460 1130500000 26814347296 454786265088 2381933705320 | -| 118 | Bessel:Inv:Rev | Triangle | A144299 | 1 1 0 1 -1 0 1 -3 0 0 1 -6 3 0 0 1 -10 15 0 0 0 1 -15 45 -15 0 0 0 1 -21 105 -105 0 0 0 0 1 -28 210 | -| 119 | Bessel:Inv:Rev | Rev | A122848 | 1 0 1 0 -1 1 0 0 -3 1 0 0 3 -6 1 0 0 0 15 -10 1 0 0 0 -15 45 -15 1 0 0 0 0 -105 105 -21 1 0 0 0 0 | -| 120 | Bessel:Inv:Rev | InvRev | A122850 | 1 0 1 0 1 1 0 3 3 1 0 15 15 6 1 0 105 105 45 10 1 0 945 945 420 105 15 1 0 10395 10395 4725 1260 | -| 121 | Bessel:Inv:Rev | Acc | missing | 1 1 1 1 0 0 1 -2 -2 -2 1 -5 -2 -2 -2 1 -9 6 6 6 6 1 -14 31 16 16 16 16 1 -20 85 -20 -20 -20 -20 -20 | -| 122 | Bessel:Inv:Rev | AccRev | missing | 1 0 1 0 -1 0 0 0 -3 -2 0 0 3 -3 -2 0 0 0 15 5 6 0 0 0 -15 30 15 16 0 0 0 0 -105 0 -21 -20 0 0 0 0 | -| 123 | Bessel:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -1 1 -3 0 1 -6 0 1 -10 3 0 1 -15 15 0 1 -21 45 0 0 1 -28 105 -15 0 1 -36 210 -105 0 0 1 | -| 124 | Bessel:Inv:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 -6 0 0 1 -12 9 0 0 1 -20 45 0 0 0 1 -30 135 -60 0 0 0 1 -42 315 -420 0 0 0 0 1 -56 | -| 125 | Bessel:Inv:Rev | RowSum | A001464 | 1 1 0 -2 -2 6 16 -20 -132 28 1216 936 -12440 -23672 138048 469456 -1601264 -9112560 18108928 | -| 126 | Bessel:Inv:Rev | EvenSum | A000704 | 1 1 1 1 4 16 46 106 316 1324 5356 18316 63856 272416 1264264 5409496 22302736 101343376 507711376 | -| 127 | Bessel:Inv:Rev | OddSum | A001465 | 0 0 -1 -3 -6 -10 -30 -126 -448 -1296 -4140 -17380 -76296 -296088 -1126216 -4940040 -23904000 | -| 128 | Bessel:Inv:Rev | AltSum | A000085 | 1 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 | -| 129 | Bessel:Inv:Rev | DiagSum | missing | 1 1 1 0 -2 -5 -6 1 25 63 70 -86 -579 -1280 -797 4575 18739 31696 -14310 -248267 -717170 -687441 | -| 130 | Bessel:Inv:Rev | AccSum | missing | 1 2 1 -5 -10 16 82 -34 -740 -440 7436 12772 -81464 -258400 938680 5025736 -10655728 -100180064 | -| 131 | Bessel:Inv:Rev | AccRevSum | missing | 1 1 -1 -5 -2 26 46 -146 -580 748 7156 -604 -92696 -96680 1270088 2955016 -18167024 -72958576 | -| 132 | Bessel:Inv:Rev | RowLcm | missing | 1 1 1 3 6 30 45 105 420 3780 9450 103950 623700 540540 945945 14189175 113513400 1929727800 | -| 133 | Bessel:Inv:Rev | RowGcd | B069834 | 1 1 1 3 3 5 15 21 7 9 45 55 33 39 91 105 15 17 153 171 95 105 231 253 69 75 325 351 189 203 435 465 | -| 134 | Bessel:Inv:Rev | RowMax | missing | 1 1 1 3 6 15 45 105 420 1260 4725 17325 62370 270270 945945 4729725 18918900 91891800 413513100 | -| 135 | Bessel:Inv:Rev | ColMiddle | A055634 | 1 1 -1 -3 3 15 -15 -105 105 945 -945 -10395 10395 135135 -135135 -2027025 2027025 34459425 | -| 136 | Bessel:Inv:Rev | CentralE | A001147 | 1 -1 3 -15 105 -945 10395 -135135 2027025 -34459425 654729075 -13749310575 316234143225 | -| 137 | Bessel:Inv:Rev | CentralO | B001147 | 1 -3 15 -105 945 -10395 135135 -2027025 34459425 -654729075 13749310575 -316234143225 7905853580625 | -| 138 | Bessel:Inv:Rev | BinConv | missing | 1 1 -1 -8 -5 101 286 -1616 -10513 26515 404011 -174844 -17016416 -26519648 782613560 2994914896 | -| 139 | Bessel:Inv:Rev | InvBinConv | missing | 1 -1 3 -10 43 -201 1066 -6028 36975 -238843 1637191 -11718246 87877648 -683880640 5530539288 | -| 140 | Bessel:Inv:Rev | TransNat0 | missing | 0 0 -1 -3 0 20 30 -126 -448 720 5940 -1540 -80256 -73008 1132040 2485560 -16565760 -63846016 | -| 141 | Bessel:Inv:Rev | TransNat1 | missing | 1 1 -1 -5 -2 26 46 -146 -580 748 7156 -604 -92696 -96680 1270088 2955016 -18167024 -72958576 | -| 142 | Bessel:Inv:Rev | TransSqrs | missing | 0 0 -1 -3 6 50 30 -546 -1288 5256 26100 -41140 -472296 47112 8435336 10151400 -152410560 -401882176 | -| 143 | Bessel:Inv:Rev | PosHalf | A062267 | 1 2 2 -4 -20 -8 184 464 -1648 -10720 8224 230848 280768 -4978816 -17257600 104891648 727511296 | -| 144 | Bessel:Inv:Rev | NegHalf | A000898 | 1 -2 6 -20 76 -312 1384 -6512 32400 -168992 921184 -5222208 30710464 -186753920 1171979904 | -| 145 | Bessel:Inv:Rev | DiagRow1 | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 146 | Bessel:Inv:Rev | DiagRow2 | B000007 | 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 147 | Bessel:Inv:Rev | DiagRow3 | missing | 1 -6 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 148 | Bessel:Inv:Rev | DiagCol1 | A000217 | 0 -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 | -| 149 | Bessel:Inv:Rev | DiagCol2 | B050534 | 0 0 3 15 45 105 210 378 630 990 1485 2145 3003 4095 5460 7140 9180 11628 14535 17955 21945 26565 | -| 150 | Bessel:Inv:Rev | DiagCol3 | A240440 | 0 0 0 -15 -105 -420 -1260 -3150 -6930 -13860 -25740 -45045 -75075 -120120 -185640 -278460 -406980 | -| 151 | Bessel:Inv:Rev | Poly | A124341 | 1 1 1 1 1 1 1 0 1 1 1 -2 -1 1 1 1 -2 -5 -2 1 1 1 6 1 -8 -3 1 1 1 16 41 10 -11 -4 1 1 1 -20 31 106 | -| 152 | Bessel:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 153 | Bessel:Inv:Rev | PolyRow3 | A016789 | 1 -2 -5 -8 -11 -14 -17 -20 -23 -26 -29 -32 -35 -38 -41 -44 -47 -50 -53 -56 -59 -62 -65 -68 -71 -74 | -| 154 | Bessel:Inv:Rev | PolyCol2 | A000321 | 1 1 -1 -5 1 41 31 -461 -895 6481 22591 -107029 -604031 1964665 17669471 -37341149 -567425279 | -| 155 | Bessel:Inv:Rev | PolyCol3 | A362278 | 1 1 -2 -8 10 106 -44 -1952 -1028 45820 73576 -1301024 -3729032 43107832 188540080 -1621988864 | -| 156 | Bessel:Inv:Rev | PolyDiag | A362276 | 1 1 -1 -8 25 326 -1709 -31016 228257 5311900 -50337449 -1429574464 16573668409 555724876552 | \ No newline at end of file +| 41 | Bessel:Alt | Triangle | A122850 | 1 0 -1 0 -1 1 0 -3 3 -1 0 -15 15 -6 1 0 -105 105 -45 10 -1 0 -945 945 -420 105 -15 1 0 -10395 10395 | +| 42 | Bessel:Alt | Rev | B104548 | 1 -1 0 1 -1 0 -1 3 -3 0 1 -6 15 -15 0 -1 10 -45 105 -105 0 1 -15 105 -420 945 -945 0 -1 21 -210 | +| 43 | Bessel:Alt | Inv | missing | 1 0 1 0 1 1 0 0 -3 1 0 0 -33 6 1 0 0 90 -15 -10 1 0 0 2610 -435 -255 15 1 0 0 -18900 3150 1995 -105 | +| 44 | Bessel:Alt | RevInv | missing | 1 1 0 1 1 0 1 -3 0 0 1 6 -33 0 0 1 -10 -15 90 0 0 1 15 -255 -435 2610 0 0 1 -21 -105 1995 3150 | +| 45 | Bessel:Alt | Acc | missing | 1 0 -1 0 -1 0 0 -3 0 -1 0 -15 0 -6 -5 0 -105 0 -45 -35 -36 0 -945 0 -420 -315 -330 -329 0 -10395 0 | +| 46 | Bessel:Alt | AccRev | missing | 1 -1 -1 1 0 0 -1 2 -1 -1 1 -5 10 -5 -5 -1 9 -36 69 -36 -36 1 -14 91 -329 616 -329 -329 -1 20 -190 | +| 47 | Bessel:Alt | AntiDiag | missing | 1 0 0 -1 0 -1 0 -3 1 0 -15 3 0 -105 15 -1 0 -945 105 -6 0 -10395 945 -45 1 0 -135135 10395 -420 10 | +| 48 | Bessel:Alt | Diffx1 | missing | 1 0 -2 0 -2 3 0 -6 9 -4 0 -30 45 -24 5 0 -210 315 -180 50 -6 0 -1890 2835 -1680 525 -90 7 0 -20790 | +| 49 | Bessel:Alt | RowSum | A000806 | 1 -1 0 -1 -5 -36 -329 -3655 -47844 -721315 -12310199 -234615096 -4939227215 -113836841041 | +| 50 | Bessel:Alt | EvenSum | B036244 | 1 0 1 3 16 115 1051 11676 152839 2304261 39325276 749484505 15778499881 363654981768 9107153044081 | +| 51 | Bessel:Alt | OddSum | A025164 | 0 -1 -1 -4 -21 -151 -1380 -15331 -200683 -3025576 -51635475 -984099601 -20717727096 -477491822809 | +| 52 | Bessel:Alt | AltSum | A144301 | 1 1 2 7 37 266 2431 27007 353522 5329837 90960751 1733584106 36496226977 841146804577 | +| 53 | Bessel:Alt | DiagSum | missing | 1 0 -1 -1 -2 -12 -91 -846 -9494 -125150 -1896511 -32493525 -621198479 -13110530559 -302790289348 | +| 54 | Bessel:Alt | AccSum | missing | 1 -1 -1 -4 -26 -221 -2339 -29569 -434251 -7260994 -136133504 -2827691351 -64444568891 | +| 55 | Bessel:Alt | AccRevSum | A231622 | 1 -2 1 -1 -4 -31 -293 -3326 -44189 -673471 -11588884 -222304897 -4704612119 -108897613826 | +| 56 | Bessel:Alt | RowLcm | missing | 1 1 1 3 30 630 3780 207900 8108100 56756700 1929727800 329983453800 549972423000 139143023019000 | +| 57 | Bessel:Alt | RowGcd | B069834 | 1 1 1 3 3 5 15 21 7 9 45 55 33 39 91 105 15 17 153 171 95 105 231 253 69 75 325 351 189 203 435 465 | +| 58 | Bessel:Alt | RowMax | A330797 | 1 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | +| 59 | Bessel:Alt | ColMiddle | missing | 1 0 -1 -3 15 105 -420 -4725 17325 270270 -945945 -18918900 64324260 1571349780 -5237832600 | +| 60 | Bessel:Alt | CentralE | missing | 1 -1 15 -420 17325 -945945 64324260 -5237832600 496939367925 -53835098191875 6557114959770375 | +| 61 | Bessel:Alt | CentralO | missing | 0 -3 105 -4725 270270 -18918900 1571349780 -151242416325 16564645597500 -2034966711652875 | +| 62 | Bessel:Alt | BinConv | missing | 1 -1 -1 -1 7 124 1591 19991 256691 3335228 41759236 430787224 595905949 -182463444151 | +| 63 | Bessel:Alt | InvBinConv | missing | 1 -1 3 -19 175 -2076 29911 -505093 9757539 -211883500 5102919316 -134868653976 3878398876573 | +| 64 | Bessel:Alt | TransNat0 | B278990 | 0 -1 1 0 1 5 36 329 3655 47844 721315 12310199 234615096 4939227215 113836841041 2850860253240 | +| 65 | Bessel:Alt | TransNat1 | A231622 | 1 -2 1 -1 -4 -31 -293 -3326 -44189 -673471 -11588884 -222304897 -4704612119 -108897613826 | +| 66 | Bessel:Alt | TransSqrs | missing | 0 -1 3 0 7 45 396 4277 54825 813348 13704985 258514179 5396147208 123480680375 3073594708107 | +| 67 | Bessel:Alt | PosHalf | A002119 | 1 -1 -1 -7 -71 -1001 -18089 -398959 -10391023 -312129649 -10622799089 -403978495031 -16977719590391 | +| 68 | Bessel:Alt | NegHalf | A080893 | 1 -1 3 -19 193 -2721 49171 -1084483 28245729 -848456353 28875761731 -1098127402131 46150226651233 | +| 69 | Bessel:Alt | DiagRow1 | A000217 | 0 -1 3 -6 10 -15 21 -28 36 -45 55 -66 78 -91 105 -120 136 -153 171 -190 210 -231 253 -276 300 -325 | +| 70 | Bessel:Alt | DiagRow2 | B050534 | 0 -3 15 -45 105 -210 378 -630 990 -1485 2145 -3003 4095 -5460 7140 -9180 11628 -14535 17955 -21945 | +| 71 | Bessel:Alt | DiagRow3 | B240440 | 0 -15 105 -420 1260 -3150 6930 -13860 25740 -45045 75075 -120120 185640 -278460 406980 -581400 | +| 72 | Bessel:Alt | DiagCol1 | A001147 | -1 -1 -3 -15 -105 -945 -10395 -135135 -2027025 -34459425 -654729075 -13749310575 -316234143225 | +| 73 | Bessel:Alt | DiagCol2 | B001147 | 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | +| 74 | Bessel:Alt | DiagCol3 | A001879 | -1 -6 -45 -420 -4725 -62370 -945945 -16216200 -310134825 -6547290750 -151242416325 -3794809718700 | +| 75 | Bessel:Alt | Poly | missing | 1 0 1 0 -1 1 0 0 -2 1 0 -1 2 -3 1 0 -5 -2 6 -4 1 0 -36 -2 -9 12 -5 1 0 -329 -22 9 -28 20 -6 1 0 | +| 76 | Bessel:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 77 | Bessel:Alt | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 78 | Bessel:Alt | PolyRow3 | A001093 | 0 -1 -2 -9 -28 -65 -126 -217 -344 -513 -730 -1001 -1332 -1729 -2198 -2745 -3376 -4097 -4914 -5833 | +| 79 | Bessel:Alt | PolyCol2 | missing | 1 -2 2 -2 -2 -22 -206 -2354 -31426 -480806 -8299406 -159611938 -3385048322 -78494559158 | +| 80 | Bessel:Alt | PolyCol3 | missing | 1 -3 6 -9 9 -18 -81 -1053 -14418 -225747 -3967461 -77413482 -1661390271 -38908697571 -987669951714 | +| 81 | Bessel:Alt | PolyDiag | missing | 1 -1 2 -9 52 -400 3726 -41209 525512 -7601283 122898250 -2196729106 43010133948 -915436196701 | +| 82 | Bessel:Rev | Triangle | B104548 | 1 1 0 1 1 0 1 3 3 0 1 6 15 15 0 1 10 45 105 105 0 1 15 105 420 945 945 0 1 21 210 1260 4725 10395 | +| 83 | Bessel:Rev | InvRev | A122848 | 1 0 1 0 -1 1 0 0 -3 1 0 0 3 -6 1 0 0 0 15 -10 1 0 0 0 -15 45 -15 1 0 0 0 0 -105 105 -21 1 0 0 0 0 | +| 84 | Bessel:Rev | Acc | missing | 1 1 1 1 2 2 1 4 7 7 1 7 22 37 37 1 11 56 161 266 266 1 16 121 541 1486 2431 2431 1 22 232 1492 6217 | +| 85 | Bessel:Rev | AccRev | missing | 1 0 1 0 1 2 0 3 6 7 0 15 30 36 37 0 105 210 255 265 266 0 945 1890 2310 2415 2430 2431 0 10395 | +| 86 | Bessel:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 3 0 1 6 3 1 10 15 0 1 15 45 15 1 21 105 105 0 1 28 210 420 105 1 36 378 1260 945 0 1 | +| 87 | Bessel:Rev | Diffx1 | missing | 1 1 0 1 2 0 1 6 9 0 1 12 45 60 0 1 20 135 420 525 0 1 30 315 1680 4725 5670 0 1 42 630 5040 23625 | +| 88 | Bessel:Rev | RowSum | A144301 | 1 1 2 7 37 266 2431 27007 353522 5329837 90960751 1733584106 36496226977 841146804577 | +| 89 | Bessel:Rev | EvenSum | missing | 1 1 1 4 16 151 1051 15331 152839 3025576 39325276 984099601 15778499881 477491822809 9107153044081 | +| 90 | Bessel:Rev | OddSum | missing | 0 0 1 3 21 115 1380 11676 200683 2304261 51635475 749484505 20717727096 363654981768 11958013297321 | +| 91 | Bessel:Rev | AltSum | A000806 | 1 1 0 1 -5 36 -329 3655 -47844 721315 -12310199 234615096 -4939227215 113836841041 -2850860253240 | +| 92 | Bessel:Rev | DiagSum | A000085 | 1 1 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 | +| 93 | Bessel:Rev | AccSum | missing | 1 2 5 19 104 761 7027 78590 1033559 15635989 267552416 5109791567 107755096825 2486944186754 | +| 94 | Bessel:Rev | AccRevSum | missing | 1 1 3 16 118 1101 12421 164473 2501661 42992218 823976596 17426801811 403192080853 10130257881901 | +| 95 | Bessel:Rev | RowLcm | missing | 1 1 1 3 30 630 3780 207900 8108100 56756700 1929727800 329983453800 549972423000 139143023019000 | +| 96 | Bessel:Rev | RowGcd | B069834 | 1 1 1 3 3 5 15 21 7 9 45 55 33 39 91 105 15 17 153 171 95 105 231 253 69 75 325 351 189 203 435 465 | +| 97 | Bessel:Rev | RowMax | A330797 | 1 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | +| 98 | Bessel:Rev | ColMiddle | missing | 1 1 1 3 15 45 420 1260 17325 51975 945945 2837835 64324260 192972780 5237832600 15713497800 | +| 99 | Bessel:Rev | CentralE | missing | 1 1 15 420 17325 945945 64324260 5237832600 496939367925 53835098191875 6557114959770375 | +| 100 | Bessel:Rev | CentralO | A245066 | 1 3 45 1260 51975 2837835 192972780 15713497800 1490818103775 161505294575625 19671344879311125 | +| 101 | Bessel:Rev | BinConv | missing | 1 1 3 19 175 2076 29911 505093 9757539 211883500 5102919316 134868653976 3878398876573 | +| 102 | Bessel:Rev | InvBinConv | missing | 1 -1 -1 -1 7 124 1591 19991 256691 3335228 41759236 430787224 595905949 -182463444151 | +| 103 | Bessel:Rev | TransNat0 | A001514 | 0 0 1 9 81 835 9990 137466 2148139 37662381 733015845 15693217705 366695853876 9289111077324 | +| 104 | Bessel:Rev | TransNat1 | missing | 1 1 3 16 118 1101 12421 164473 2501661 42992218 823976596 17426801811 403192080853 10130257881901 | +| 105 | Bessel:Rev | TransSqrs | missing | 0 0 1 15 201 2815 42960 721896 13352815 270761121 5987420055 143614598545 3717414399336 | +| 106 | Bessel:Rev | PosHalf | A107104 | 1 2 6 26 154 1182 11254 128522 1715802 26251118 453132214 8714516538 184817376154 4285657717694 | +| 107 | Bessel:Rev | NegHalf | missing | 1 -2 2 -2 -2 -22 -206 -2354 -31426 -480806 -8299406 -159611938 -3385048322 -78494559158 | +| 108 | Bessel:Rev | DiagRow1 | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | +| 109 | Bessel:Rev | DiagRow2 | B001147 | 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | +| 110 | Bessel:Rev | DiagRow3 | A001879 | 1 6 45 420 4725 62370 945945 16216200 310134825 6547290750 151242416325 3794809718700 | +| 111 | Bessel:Rev | DiagCol1 | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | +| 112 | Bessel:Rev | DiagCol2 | B050534 | 0 3 15 45 105 210 378 630 990 1485 2145 3003 4095 5460 7140 9180 11628 14535 17955 21945 26565 | +| 113 | Bessel:Rev | DiagCol3 | B240440 | 0 15 105 420 1260 3150 6930 13860 25740 45045 75075 120120 185640 278460 406980 581400 813960 | +| 114 | Bessel:Rev | Poly | missing | 1 1 1 1 1 1 1 2 1 1 1 7 3 1 1 1 37 19 4 1 1 1 266 193 37 5 1 1 1 2431 2721 559 61 6 1 1 1 27007 | +| 115 | Bessel:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 116 | Bessel:Rev | PolyRow3 | A003215 | 1 7 19 37 61 91 127 169 217 271 331 397 469 547 631 721 817 919 1027 1141 1261 1387 1519 1657 1801 | +| 117 | Bessel:Rev | PolyCol2 | A080893 | 1 1 3 19 193 2721 49171 1084483 28245729 848456353 28875761731 1098127402131 46150226651233 | +| 118 | Bessel:Rev | PolyCol3 | A001518 | 1 1 4 37 559 11776 318511 10522639 410701432 18492087079 943507142461 53798399207356 | +| 119 | Bessel:Rev | PolyDiag | missing | 1 1 3 37 1225 79926 8667631 1409457463 320939805537 97470996613525 38072355184809451 | +| 120 | Bessel:Inv | Triangle | A122848 | 1 0 1 0 -1 1 0 0 -3 1 0 0 3 -6 1 0 0 0 15 -10 1 0 0 0 -15 45 -15 1 0 0 0 0 -105 105 -21 1 0 0 0 0 | +| 121 | Bessel:Inv | Rev | A144299 | 1 1 0 1 -1 0 1 -3 0 0 1 -6 3 0 0 1 -10 15 0 0 0 1 -15 45 -15 0 0 0 1 -21 105 -105 0 0 0 0 1 -28 210 | +| 122 | Bessel:Inv | RevInv | B104548 | 1 1 0 1 1 0 1 3 3 0 1 6 15 15 0 1 10 45 105 105 0 1 15 105 420 945 945 0 1 21 210 1260 4725 10395 | +| 123 | Bessel:Inv | Acc | missing | 1 0 1 0 -1 0 0 0 -3 -2 0 0 3 -3 -2 0 0 0 15 5 6 0 0 0 -15 30 15 16 0 0 0 0 -105 0 -21 -20 0 0 0 0 | +| 124 | Bessel:Inv | AccRev | missing | 1 1 1 1 0 0 1 -2 -2 -2 1 -5 -2 -2 -2 1 -9 6 6 6 6 1 -14 31 16 16 16 16 1 -20 85 -20 -20 -20 -20 -20 | +| 125 | Bessel:Inv | AntiDiag | missing | 1 0 0 1 0 -1 0 0 1 0 0 -3 0 0 3 1 0 0 0 -6 0 0 0 15 1 0 0 0 -15 -10 0 0 0 0 45 1 0 0 0 0 -105 -15 0 | +| 126 | Bessel:Inv | Diffx1 | missing | 1 0 2 0 -2 3 0 0 -9 4 0 0 9 -24 5 0 0 0 60 -50 6 0 0 0 -60 225 -90 7 0 0 0 0 -525 630 -147 8 0 0 0 | +| 127 | Bessel:Inv | RowSum | A001464 | 1 1 0 -2 -2 6 16 -20 -132 28 1216 936 -12440 -23672 138048 469456 -1601264 -9112560 18108928 | +| 128 | Bessel:Inv | EvenSum | A085386 | 1 0 1 -3 4 -10 46 -126 316 -1296 5356 -17380 63856 -296088 1264264 -4940040 22302736 -110455936 | +| 129 | Bessel:Inv | OddSum | missing | 0 1 -1 1 -6 16 -30 106 -448 1324 -4140 18316 -76296 272416 -1126216 5409496 -23904000 101343376 | +| 130 | Bessel:Inv | AltSum | A000085 | 1 -1 2 -4 10 -26 76 -232 764 -2620 9496 -35696 140152 -568504 2390480 -10349536 46206736 -211799312 | +| 131 | Bessel:Inv | DiagSum | A122849 | 1 0 1 -1 1 -3 4 -6 16 -25 46 -120 211 -441 1156 -2233 5104 -13581 28351 -69345 188101 -419320 | +| 132 | Bessel:Inv | AccSum | missing | 1 1 -1 -5 -2 26 46 -146 -580 748 7156 -604 -92696 -96680 1270088 2955016 -18167024 -72958576 | +| 133 | Bessel:Inv | AccRevSum | missing | 1 2 1 -5 -10 16 82 -34 -740 -440 7436 12772 -81464 -258400 938680 5025736 -10655728 -100180064 | +| 134 | Bessel:Inv | RowLcm | missing | 1 1 1 3 6 30 45 105 420 3780 9450 103950 623700 540540 945945 14189175 113513400 1929727800 | +| 135 | Bessel:Inv | RowGcd | B069834 | 1 1 1 3 3 5 15 21 7 9 45 55 33 39 91 105 15 17 153 171 95 105 231 253 69 75 325 351 189 203 435 465 | +| 136 | Bessel:Inv | RowMax | missing | 1 1 1 3 6 15 45 105 420 1260 4725 17325 62370 270270 945945 4729725 18918900 91891800 413513100 | +| 137 | Bessel:Inv | ColMiddle | A123023 | 1 0 -1 0 3 0 -15 0 105 0 -945 0 10395 0 -135135 0 2027025 0 -34459425 0 654729075 0 -13749310575 0 | +| 138 | Bessel:Inv | CentralE | A001147 | 1 -1 3 -15 105 -945 10395 -135135 2027025 -34459425 654729075 -13749310575 316234143225 | +| 139 | Bessel:Inv | BinConv | missing | 1 1 -1 -8 -5 101 286 -1616 -10513 26515 404011 -174844 -17016416 -26519648 782613560 2994914896 | +| 140 | Bessel:Inv | InvBinConv | missing | 1 1 3 10 43 201 1066 6028 36975 238843 1637191 11718246 87877648 683880640 5530539288 46195085056 | +| 141 | Bessel:Inv | TransNat0 | missing | 0 1 1 -3 -8 10 66 -14 -608 -468 6220 11836 -69024 -234728 800632 4556280 -9054464 -91067504 | +| 142 | Bessel:Inv | TransNat1 | missing | 1 2 1 -5 -10 16 82 -34 -740 -440 7436 12772 -81464 -258400 938680 5025736 -10655728 -100180064 | +| 143 | Bessel:Inv | TransSqrs | missing | 0 1 3 -3 -26 0 246 238 -2568 -5436 28900 105996 -337512 -2055248 3795624 41212200 -32229824 | +| 144 | Bessel:Inv | PosHalf | A000321 | 1 1 -1 -5 1 41 31 -461 -895 6481 22591 -107029 -604031 1964665 17669471 -37341149 -567425279 | +| 145 | Bessel:Inv | NegHalf | A047974 | 1 1 3 7 25 81 331 1303 5937 26785 133651 669351 3609673 19674097 113525595 664400311 4070168161 | +| 146 | Bessel:Inv | DiagRow1 | A000217 | 0 -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 | +| 147 | Bessel:Inv | DiagRow2 | B050534 | 0 0 3 15 45 105 210 378 630 990 1485 2145 3003 4095 5460 7140 9180 11628 14535 17955 21945 26565 | +| 148 | Bessel:Inv | DiagRow3 | A240440 | 0 0 0 -15 -105 -420 -1260 -3150 -6930 -13860 -25740 -45045 -75075 -120120 -185640 -278460 -406980 | +| 149 | Bessel:Inv | DiagCol1 | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 150 | Bessel:Inv | DiagCol2 | B000007 | 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 151 | Bessel:Inv | DiagCol3 | missing | 1 -6 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 152 | Bessel:Inv | Poly | missing | 1 0 1 0 1 1 0 0 2 1 0 -2 2 3 1 0 -2 -4 6 4 1 0 6 -20 0 12 5 1 0 16 -8 -54 16 20 6 1 0 -20 184 -162 | +| 153 | Bessel:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 154 | Bessel:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 155 | Bessel:Inv | PolyRow3 | missing | 0 -2 -4 0 16 50 108 196 320 486 700 968 1296 1690 2156 2700 3328 4046 4860 5776 6800 7938 9196 | +| 156 | Bessel:Inv | PolyCol2 | A062267 | 1 2 2 -4 -20 -8 184 464 -1648 -10720 8224 230848 280768 -4978816 -17257600 104891648 727511296 | +| 157 | Bessel:Inv | PolyCol3 | missing | 1 3 6 0 -54 -162 324 3888 4860 -78732 -367416 1259712 15903864 2361960 -613164816 -1938696768 | +| 158 | Bessel:Inv | PolyDiag | missing | 1 1 2 0 -80 -1250 -14904 -134456 -225280 31886460 1130500000 26814347296 454786265088 2381933705320 | +| 159 | Bessel:Inv:Rev | Triangle | A144299 | 1 1 0 1 -1 0 1 -3 0 0 1 -6 3 0 0 1 -10 15 0 0 0 1 -15 45 -15 0 0 0 1 -21 105 -105 0 0 0 0 1 -28 210 | +| 160 | Bessel:Inv:Rev | Rev | A122848 | 1 0 1 0 -1 1 0 0 -3 1 0 0 3 -6 1 0 0 0 15 -10 1 0 0 0 -15 45 -15 1 0 0 0 0 -105 105 -21 1 0 0 0 0 | +| 161 | Bessel:Inv:Rev | InvRev | A122850 | 1 0 1 0 1 1 0 3 3 1 0 15 15 6 1 0 105 105 45 10 1 0 945 945 420 105 15 1 0 10395 10395 4725 1260 | +| 162 | Bessel:Inv:Rev | Acc | missing | 1 1 1 1 0 0 1 -2 -2 -2 1 -5 -2 -2 -2 1 -9 6 6 6 6 1 -14 31 16 16 16 16 1 -20 85 -20 -20 -20 -20 -20 | +| 163 | Bessel:Inv:Rev | AccRev | missing | 1 0 1 0 -1 0 0 0 -3 -2 0 0 3 -3 -2 0 0 0 15 5 6 0 0 0 -15 30 15 16 0 0 0 0 -105 0 -21 -20 0 0 0 0 | +| 164 | Bessel:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -1 1 -3 0 1 -6 0 1 -10 3 0 1 -15 15 0 1 -21 45 0 0 1 -28 105 -15 0 1 -36 210 -105 0 0 1 | +| 165 | Bessel:Inv:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 -6 0 0 1 -12 9 0 0 1 -20 45 0 0 0 1 -30 135 -60 0 0 0 1 -42 315 -420 0 0 0 0 1 -56 | +| 166 | Bessel:Inv:Rev | RowSum | A001464 | 1 1 0 -2 -2 6 16 -20 -132 28 1216 936 -12440 -23672 138048 469456 -1601264 -9112560 18108928 | +| 167 | Bessel:Inv:Rev | EvenSum | A000704 | 1 1 1 1 4 16 46 106 316 1324 5356 18316 63856 272416 1264264 5409496 22302736 101343376 507711376 | +| 168 | Bessel:Inv:Rev | OddSum | A001465 | 0 0 -1 -3 -6 -10 -30 -126 -448 -1296 -4140 -17380 -76296 -296088 -1126216 -4940040 -23904000 | +| 169 | Bessel:Inv:Rev | AltSum | A000085 | 1 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 | +| 170 | Bessel:Inv:Rev | DiagSum | missing | 1 1 1 0 -2 -5 -6 1 25 63 70 -86 -579 -1280 -797 4575 18739 31696 -14310 -248267 -717170 -687441 | +| 171 | Bessel:Inv:Rev | AccSum | missing | 1 2 1 -5 -10 16 82 -34 -740 -440 7436 12772 -81464 -258400 938680 5025736 -10655728 -100180064 | +| 172 | Bessel:Inv:Rev | AccRevSum | missing | 1 1 -1 -5 -2 26 46 -146 -580 748 7156 -604 -92696 -96680 1270088 2955016 -18167024 -72958576 | +| 173 | Bessel:Inv:Rev | RowLcm | missing | 1 1 1 3 6 30 45 105 420 3780 9450 103950 623700 540540 945945 14189175 113513400 1929727800 | +| 174 | Bessel:Inv:Rev | RowGcd | B069834 | 1 1 1 3 3 5 15 21 7 9 45 55 33 39 91 105 15 17 153 171 95 105 231 253 69 75 325 351 189 203 435 465 | +| 175 | Bessel:Inv:Rev | RowMax | missing | 1 1 1 3 6 15 45 105 420 1260 4725 17325 62370 270270 945945 4729725 18918900 91891800 413513100 | +| 176 | Bessel:Inv:Rev | ColMiddle | A055634 | 1 1 -1 -3 3 15 -15 -105 105 945 -945 -10395 10395 135135 -135135 -2027025 2027025 34459425 | +| 177 | Bessel:Inv:Rev | CentralE | A001147 | 1 -1 3 -15 105 -945 10395 -135135 2027025 -34459425 654729075 -13749310575 316234143225 | +| 178 | Bessel:Inv:Rev | CentralO | B001147 | 1 -3 15 -105 945 -10395 135135 -2027025 34459425 -654729075 13749310575 -316234143225 7905853580625 | +| 179 | Bessel:Inv:Rev | BinConv | missing | 1 1 -1 -8 -5 101 286 -1616 -10513 26515 404011 -174844 -17016416 -26519648 782613560 2994914896 | +| 180 | Bessel:Inv:Rev | InvBinConv | missing | 1 -1 3 -10 43 -201 1066 -6028 36975 -238843 1637191 -11718246 87877648 -683880640 5530539288 | +| 181 | Bessel:Inv:Rev | TransNat0 | missing | 0 0 -1 -3 0 20 30 -126 -448 720 5940 -1540 -80256 -73008 1132040 2485560 -16565760 -63846016 | +| 182 | Bessel:Inv:Rev | TransNat1 | missing | 1 1 -1 -5 -2 26 46 -146 -580 748 7156 -604 -92696 -96680 1270088 2955016 -18167024 -72958576 | +| 183 | Bessel:Inv:Rev | TransSqrs | missing | 0 0 -1 -3 6 50 30 -546 -1288 5256 26100 -41140 -472296 47112 8435336 10151400 -152410560 -401882176 | +| 184 | Bessel:Inv:Rev | PosHalf | A062267 | 1 2 2 -4 -20 -8 184 464 -1648 -10720 8224 230848 280768 -4978816 -17257600 104891648 727511296 | +| 185 | Bessel:Inv:Rev | NegHalf | A000898 | 1 -2 6 -20 76 -312 1384 -6512 32400 -168992 921184 -5222208 30710464 -186753920 1171979904 | +| 186 | Bessel:Inv:Rev | DiagRow1 | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 187 | Bessel:Inv:Rev | DiagRow2 | B000007 | 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 188 | Bessel:Inv:Rev | DiagRow3 | missing | 1 -6 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 189 | Bessel:Inv:Rev | DiagCol1 | A000217 | 0 -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 | +| 190 | Bessel:Inv:Rev | DiagCol2 | B050534 | 0 0 3 15 45 105 210 378 630 990 1485 2145 3003 4095 5460 7140 9180 11628 14535 17955 21945 26565 | +| 191 | Bessel:Inv:Rev | DiagCol3 | A240440 | 0 0 0 -15 -105 -420 -1260 -3150 -6930 -13860 -25740 -45045 -75075 -120120 -185640 -278460 -406980 | +| 192 | Bessel:Inv:Rev | Poly | A124341 | 1 1 1 1 1 1 1 0 1 1 1 -2 -1 1 1 1 -2 -5 -2 1 1 1 6 1 -8 -3 1 1 1 16 41 10 -11 -4 1 1 1 -20 31 106 | +| 193 | Bessel:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 194 | Bessel:Inv:Rev | PolyRow3 | A016789 | 1 -2 -5 -8 -11 -14 -17 -20 -23 -26 -29 -32 -35 -38 -41 -44 -47 -50 -53 -56 -59 -62 -65 -68 -71 -74 | +| 195 | Bessel:Inv:Rev | PolyCol2 | A000321 | 1 1 -1 -5 1 41 31 -461 -895 6481 22591 -107029 -604031 1964665 17669471 -37341149 -567425279 | +| 196 | Bessel:Inv:Rev | PolyCol3 | A362278 | 1 1 -2 -8 10 106 -44 -1952 -1028 45820 73576 -1301024 -3729032 43107832 188540080 -1621988864 | +| 197 | Bessel:Inv:Rev | PolyDiag | A362276 | 1 1 -1 -8 25 326 -1709 -31016 228257 5311900 -50337449 -1429574464 16573668409 555724876552 | \ No newline at end of file diff --git a/data/md/Bessel2.md b/data/md/Bessel2.md index 3fec612..1a0ca0c 100644 --- a/data/md/Bessel2.md +++ b/data/md/Bessel2.md @@ -37,82 +37,119 @@ | 34 | Bessel2:Std | PolyCol2 | A115329 | 1 1 5 13 73 281 1741 8485 57233 328753 2389141 15539261 120661465 866545993 7140942173 55667517781 | | 35 | Bessel2:Std | PolyCol3 | missing | 1 1 10 28 298 1306 14716 85240 1012348 7149628 89149816 732616336 9558448120 88681012408 | | 36 | Bessel2:Std | PolyDiag | A359739 | 1 1 5 28 865 9626 758701 12606280 1872570113 41351249980 9925656304501 273345587759696 | -| 37 | Bessel2:Rev | Triangle | A066325 | 1 0 1 1 0 1 0 3 0 1 3 0 6 0 1 0 15 0 10 0 1 15 0 45 0 15 0 1 0 105 0 105 0 21 0 1 105 0 420 0 210 0 | -| 38 | Bessel2:Rev | Inv | A066325 | 1 0 1 -1 0 1 0 -3 0 1 3 0 -6 0 1 0 15 0 -10 0 1 -15 0 45 0 -15 0 1 0 -105 0 105 0 -21 0 1 105 0 | -| 39 | Bessel2:Rev | RevInv | A073278 | 1 1 0 1 0 -1 1 0 -3 0 1 0 -6 0 3 1 0 -10 0 15 0 1 0 -15 0 45 0 -15 1 0 -21 0 105 0 -105 0 1 0 -28 0 | -| 40 | Bessel2:Rev | Acc | missing | 1 0 1 1 1 2 0 3 3 4 3 3 9 9 10 0 15 15 25 25 26 15 15 60 60 75 75 76 0 105 105 210 210 231 231 232 | -| 41 | Bessel2:Rev | AccRev | missing | 1 1 1 1 1 2 1 1 4 4 1 1 7 7 10 1 1 11 11 26 26 1 1 16 16 61 61 76 1 1 22 22 127 127 232 232 1 1 29 | -| 42 | Bessel2:Rev | AntiDiag | missing | 1 0 1 1 0 0 3 3 1 0 0 0 15 15 6 1 0 0 0 0 105 105 45 10 1 0 0 0 0 0 945 945 420 105 15 1 0 0 0 0 0 | -| 43 | Bessel2:Rev | Diffx1 | missing | 1 0 2 1 0 3 0 6 0 4 3 0 18 0 5 0 30 0 40 0 6 15 0 135 0 75 0 7 0 210 0 420 0 126 0 8 105 0 1260 0 | -| 44 | Bessel2:Rev | RowSum | A000085 | 1 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 | -| 45 | Bessel2:Rev | EvenSum | missing | 1 0 2 0 10 0 76 0 764 0 9496 0 140152 0 2390480 0 46206736 0 997313824 0 23758664096 0 618884638912 | -| 46 | Bessel2:Rev | OddSum | missing | 0 1 0 4 0 26 0 232 0 2620 0 35696 0 568504 0 10349536 0 211799312 0 4809701440 0 119952692896 0 | -| 47 | Bessel2:Rev | AltSum | A000085 | 1 -1 2 -4 10 -26 76 -232 764 -2620 9496 -35696 140152 -568504 2390480 -10349536 46206736 -211799312 | -| 48 | Bessel2:Rev | DiagSum | missing | 1 0 2 0 7 0 37 0 266 0 2431 0 27007 0 353522 0 5329837 0 90960751 0 1733584106 0 36496226977 0 | -| 49 | Bessel2:Rev | AccSum | missing | 1 1 4 10 34 106 376 1324 5020 19324 78256 323896 1393624 6137080 27898144 129735376 619921936 | -| 50 | Bessel2:Rev | AccRevSum | B000085 | 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 997313824 | -| 51 | Bessel2:Rev | RowLcm | missing | 1 1 1 3 6 30 45 105 420 3780 9450 103950 623700 540540 945945 14189175 113513400 1929727800 | -| 52 | Bessel2:Rev | RowGcd | B069834 | 1 1 1 3 3 5 15 21 7 9 45 55 33 39 91 105 15 17 153 171 95 105 231 253 69 75 325 351 189 203 435 465 | -| 53 | Bessel2:Rev | RowMax | missing | 1 1 1 3 6 15 45 105 420 1260 4725 17325 62370 270270 945945 4729725 18918900 91891800 413513100 | -| 54 | Bessel2:Rev | ColMiddle | missing | 1 0 0 3 6 0 0 105 210 0 0 6930 13860 0 0 675675 1351350 0 0 87297210 174594420 0 0 14054850810 | -| 55 | Bessel2:Rev | CentralE | missing | 1 0 6 0 210 0 13860 0 1351350 0 174594420 0 28109701620 0 5421156741000 0 | -| 56 | Bessel2:Rev | CentralO | missing | 0 3 0 105 0 6930 0 675675 0 87297210 0 14054850810 0 2710578370500 0 609202488769875 | -| 57 | Bessel2:Rev | ColLeft | A123023 | 1 0 1 0 3 0 15 0 105 0 945 0 10395 0 135135 0 2027025 0 34459425 0 654729075 0 13749310575 0 | -| 58 | Bessel2:Rev | BinConv | A344501 | 1 1 2 10 40 176 916 4852 27350 163270 1009396 6504356 43400512 298682320 2118282440 15433768456 | -| 59 | Bessel2:Rev | InvBinConv | A344501 | 1 1 2 10 40 176 916 4852 27350 163270 1009396 6504356 43400512 298682320 2118282440 15433768456 | -| 60 | Bessel2:Rev | TransNat0 | A013989 | 0 1 2 6 16 50 156 532 1856 6876 26200 104456 428352 1821976 7959056 35857200 165592576 785514512 | -| 61 | Bessel2:Rev | TransNat1 | B000085 | 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 997313824 | -| 62 | Bessel2:Rev | TransSqrs | missing | 0 1 4 12 40 130 456 1624 6112 23580 94960 392656 1681824 7390552 33466720 155243040 739307776 | -| 63 | Bessel2:Rev | PosHalf | A115329 | 1 1 5 13 73 281 1741 8485 57233 328753 2389141 15539261 120661465 866545993 7140942173 55667517781 | -| 64 | Bessel2:Rev | NegHalf | A115329 | 1 1 5 13 73 281 1741 8485 57233 328753 2389141 15539261 120661465 866545993 7140942173 55667517781 | -| 65 | Bessel2:Rev | DiagRow2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | -| 66 | Bessel2:Rev | DiagCol1 | B123023 | 1 0 3 0 15 0 105 0 945 0 10395 0 135135 0 2027025 0 34459425 0 654729075 0 13749310575 0 | -| 67 | Bessel2:Rev | DiagCol2 | missing | 1 0 6 0 45 0 420 0 4725 0 62370 0 945945 0 16216200 0 310134825 0 6547290750 0 151242416325 0 | -| 68 | Bessel2:Rev | DiagCol3 | missing | 1 0 10 0 105 0 1260 0 17325 0 270270 0 4729725 0 91891800 0 1964187225 0 45831035250 0 | -| 69 | Bessel2:Rev | Poly | missing | 1 0 1 1 1 1 0 2 2 1 3 4 5 3 1 0 10 14 10 4 1 15 26 43 36 17 5 1 0 76 142 138 76 26 6 1 105 232 499 | -| 70 | Bessel2:Rev | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 71 | Bessel2:Rev | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 72 | Bessel2:Rev | PolyRow3 | B079908 | 0 4 14 36 76 140 234 364 536 756 1030 1364 1764 2236 2786 3420 4144 4964 5886 6916 8060 9324 10714 | -| 73 | Bessel2:Rev | PolyCol2 | A005425 | 1 2 5 14 43 142 499 1850 7193 29186 123109 538078 2430355 11317646 54229907 266906858 1347262321 | -| 74 | Bessel2:Rev | PolyCol3 | A202834 | 1 3 10 36 138 558 2364 10440 47868 227124 1112184 5607792 29057400 154465704 841143312 4685949792 | -| 75 | Bessel2:Rev | PolyDiag | missing | 1 1 5 36 355 4450 67731 1213240 25004393 582854940 15161973445 435430350256 13683641789115 | -| 76 | Bessel2:Rev:Inv | Triangle | A066325 | 1 0 1 -1 0 1 0 -3 0 1 3 0 -6 0 1 0 15 0 -10 0 1 -15 0 45 0 -15 0 1 0 -105 0 105 0 -21 0 1 105 0 | -| 77 | Bessel2:Rev:Inv | Rev | A073278 | 1 1 0 1 0 -1 1 0 -3 0 1 0 -6 0 3 1 0 -10 0 15 0 1 0 -15 0 45 0 -15 1 0 -21 0 105 0 -105 0 1 0 -28 0 | -| 78 | Bessel2:Rev:Inv | Inv | A066325 | 1 0 1 1 0 1 0 3 0 1 3 0 6 0 1 0 15 0 10 0 1 15 0 45 0 15 0 1 0 105 0 105 0 21 0 1 105 0 420 0 210 0 | -| 79 | Bessel2:Rev:Inv | RevInv | A073278 | 1 1 0 1 0 1 1 0 3 0 1 0 6 0 3 1 0 10 0 15 0 1 0 15 0 45 0 15 1 0 21 0 105 0 105 0 1 0 28 0 210 0 | -| 80 | Bessel2:Rev:Inv | Acc | missing | 1 0 1 -1 -1 0 0 -3 -3 -2 3 3 -3 -3 -2 0 15 15 5 5 6 -15 -15 30 30 15 15 16 0 -105 -105 0 0 -21 -21 | -| 81 | Bessel2:Rev:Inv | AccRev | missing | 1 1 1 1 1 0 1 1 -2 -2 1 1 -5 -5 -2 1 1 -9 -9 6 6 1 1 -14 -14 31 31 16 1 1 -20 -20 85 85 -20 -20 1 1 | -| 82 | Bessel2:Rev:Inv | AntiDiag | missing | 1 0 -1 1 0 0 3 -3 1 0 0 0 -15 15 -6 1 0 0 0 0 105 -105 45 -10 1 0 0 0 0 0 -945 945 -420 105 -15 1 0 | -| 83 | Bessel2:Rev:Inv | Diffx1 | missing | 1 0 2 -1 0 3 0 -6 0 4 3 0 -18 0 5 0 30 0 -40 0 6 -15 0 135 0 -75 0 7 0 -210 0 420 0 -126 0 8 105 0 | -| 84 | Bessel2:Rev:Inv | RowSum | A001464 | 1 1 0 -2 -2 6 16 -20 -132 28 1216 936 -12440 -23672 138048 469456 -1601264 -9112560 18108928 | -| 85 | Bessel2:Rev:Inv | EvenSum | missing | 1 0 0 0 -2 0 16 0 -132 0 1216 0 -12440 0 138048 0 -1601264 0 18108928 0 -161934624 0 -404007680 0 | -| 86 | Bessel2:Rev:Inv | OddSum | missing | 0 1 0 -2 0 6 0 -20 0 28 0 936 0 -23672 0 469456 0 -9112560 0 182135008 0 -3804634784 0 83297957568 | -| 87 | Bessel2:Rev:Inv | AltSum | A001464 | 1 -1 0 2 -2 -6 16 20 -132 -28 1216 -936 -12440 23672 138048 -469456 -1601264 9112560 18108928 | -| 88 | Bessel2:Rev:Inv | DiagSum | missing | 1 0 0 0 1 0 -5 0 36 0 -329 0 3655 0 -47844 0 721315 0 -12310199 0 234615096 0 -4939227215 0 | -| 89 | Bessel2:Rev:Inv | AccSum | missing | 1 1 -2 -8 -2 46 76 -272 -1028 1468 13096 -2144 -172952 -169688 2402128 5440576 -34732784 -136804592 | -| 90 | Bessel2:Rev:Inv | AccRevSum | missing | 1 2 2 -2 -10 -4 52 92 -292 -1160 1496 14312 -1208 -185392 -193360 2540176 5910032 -36334048 | -| 91 | Bessel2:Rev:Inv | RowLcm | missing | 1 1 1 3 6 30 45 105 420 3780 9450 103950 623700 540540 945945 14189175 113513400 1929727800 | -| 92 | Bessel2:Rev:Inv | RowGcd | B069834 | 1 1 1 3 3 5 15 21 7 9 45 55 33 39 91 105 15 17 153 171 95 105 231 253 69 75 325 351 189 203 435 465 | -| 93 | Bessel2:Rev:Inv | RowMax | missing | 1 1 1 3 6 15 45 105 420 1260 4725 17325 62370 270270 945945 4729725 18918900 91891800 413513100 | -| 94 | Bessel2:Rev:Inv | ColMiddle | missing | 1 0 0 -3 -6 0 0 105 210 0 0 -6930 -13860 0 0 675675 1351350 0 0 -87297210 -174594420 0 0 | -| 95 | Bessel2:Rev:Inv | CentralE | missing | 1 0 -6 0 210 0 -13860 0 1351350 0 -174594420 0 28109701620 0 -5421156741000 0 | -| 96 | Bessel2:Rev:Inv | CentralO | missing | 0 -3 0 105 0 -6930 0 675675 0 -87297210 0 14054850810 0 -2710578370500 0 609202488769875 | -| 97 | Bessel2:Rev:Inv | ColLeft | A123023 | 1 0 -1 0 3 0 -15 0 105 0 -945 0 10395 0 -135135 0 2027025 0 -34459425 0 654729075 0 -13749310575 0 | -| 98 | Bessel2:Rev:Inv | BinConv | missing | 1 1 0 -8 -32 -24 436 2500 2262 -51002 -319544 -133704 9545680 55736032 -46326552 -2422602104 | -| 99 | Bessel2:Rev:Inv | InvBinConv | missing | 1 1 0 -8 -32 -24 436 2500 2262 -51002 -319544 -133704 9545680 55736032 -46326552 -2422602104 | -| 100 | Bessel2:Rev:Inv | TransNat0 | missing | 0 1 2 0 -8 -10 36 112 -160 -1188 280 13376 11232 -161720 -331408 2070720 7511296 -27221488 | -| 101 | Bessel2:Rev:Inv | TransNat1 | missing | 1 2 2 -2 -10 -4 52 92 -292 -1160 1496 14312 -1208 -185392 -193360 2540176 5910032 -36334048 | -| 102 | Bessel2:Rev:Inv | TransSqrs | missing | 0 1 4 6 -8 -50 -24 364 736 -2628 -11600 16456 171744 -15704 -2595488 -2900400 40642816 100470544 | -| 103 | Bessel2:Rev:Inv | PosHalf | A362176 | 1 1 -3 -11 25 201 -299 -5123 3249 167185 50221 -6637179 -8846903 309737689 769776645 -16575533939 | -| 104 | Bessel2:Rev:Inv | NegHalf | A362176 | 1 1 -3 -11 25 201 -299 -5123 3249 167185 50221 -6637179 -8846903 309737689 769776645 -16575533939 | -| 105 | Bessel2:Rev:Inv | DiagRow2 | A025731 | -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 -276 | -| 106 | Bessel2:Rev:Inv | DiagCol1 | B123023 | 1 0 -3 0 15 0 -105 0 945 0 -10395 0 135135 0 -2027025 0 34459425 0 -654729075 0 13749310575 0 | -| 107 | Bessel2:Rev:Inv | DiagCol2 | missing | 1 0 -6 0 45 0 -420 0 4725 0 -62370 0 945945 0 -16216200 0 310134825 0 -6547290750 0 151242416325 0 | -| 108 | Bessel2:Rev:Inv | DiagCol3 | missing | 1 0 -10 0 105 0 -1260 0 17325 0 -270270 0 4729725 0 -91891800 0 1964187225 0 -45831035250 0 | -| 109 | Bessel2:Rev:Inv | Poly | missing | 1 0 1 -1 1 1 0 0 2 1 3 -2 3 3 1 0 -2 2 8 4 1 -15 6 -5 18 15 5 1 0 16 -18 30 52 24 6 1 105 -20 -11 | -| 110 | Bessel2:Rev:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 111 | Bessel2:Rev:Inv | PolyRow2 | A131386 | -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | -| 112 | Bessel2:Rev:Inv | PolyRow3 | A121670 | 0 -2 2 18 52 110 198 322 488 702 970 1298 1692 2158 2702 3330 4048 4862 5778 6802 7940 9198 10582 | -| 113 | Bessel2:Rev:Inv | PolyCol2 | missing | 1 2 3 2 -5 -18 -11 86 249 -190 -2621 -3342 22147 84398 -119115 -1419802 -1052879 20611074 59121091 | -| 114 | Bessel2:Rev:Inv | PolyCol3 | missing | 1 3 8 18 30 18 -96 -396 -516 1620 9504 12312 -67608 -350568 -172800 4389552 15760656 -22950864 | -| 115 | Bessel2:Rev:Inv | PolyDiag | A089466 | 1 1 3 18 163 1950 28821 505876 10270569 236644092 6098971555 173823708696 5427760272507 | \ No newline at end of file +| 37 | Bessel2:Alt | Triangle | A073278 | 1 1 0 1 0 1 1 0 3 0 1 0 6 0 3 1 0 10 0 15 0 1 0 15 0 45 0 15 1 0 21 0 105 0 105 0 1 0 28 0 210 0 | +| 38 | Bessel2:Alt | Rev | A066325 | 1 0 1 1 0 1 0 3 0 1 3 0 6 0 1 0 15 0 10 0 1 15 0 45 0 15 0 1 0 105 0 105 0 21 0 1 105 0 420 0 210 0 | +| 39 | Bessel2:Alt | InvRev | A066325 | 1 0 1 -1 0 1 0 -3 0 1 3 0 -6 0 1 0 15 0 -10 0 1 -15 0 45 0 -15 0 1 0 -105 0 105 0 -21 0 1 105 0 | +| 40 | Bessel2:Alt | Acc | missing | 1 1 1 1 1 2 1 1 4 4 1 1 7 7 10 1 1 11 11 26 26 1 1 16 16 61 61 76 1 1 22 22 127 127 232 232 1 1 29 | +| 41 | Bessel2:Alt | AccRev | missing | 1 0 1 1 1 2 0 3 3 4 3 3 9 9 10 0 15 15 25 25 26 15 15 60 60 75 75 76 0 105 105 210 210 231 231 232 | +| 42 | Bessel2:Alt | AntiDiag | missing | 1 1 1 0 1 0 1 0 1 1 0 3 1 0 6 0 1 0 10 0 1 0 15 0 3 1 0 21 0 15 1 0 28 0 45 0 1 0 36 0 105 0 1 0 45 | +| 43 | Bessel2:Alt | Diffx1 | missing | 1 1 0 1 0 3 1 0 9 0 1 0 18 0 15 1 0 30 0 75 0 1 0 45 0 225 0 105 1 0 63 0 525 0 735 0 1 0 84 0 1050 | +| 44 | Bessel2:Alt | RowSum | A000085 | 1 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 | +| 45 | Bessel2:Alt | EvenSum | A000085 | 1 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 | +| 46 | Bessel2:Alt | AltSum | A000085 | 1 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 | +| 47 | Bessel2:Alt | DiagSum | missing | 1 1 1 1 2 4 7 11 19 37 74 142 271 539 1117 2329 4832 10126 21709 47297 103579 227917 507176 1143424 | +| 48 | Bessel2:Alt | AccSum | B000085 | 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 997313824 | +| 49 | Bessel2:Alt | AccRevSum | missing | 1 1 4 10 34 106 376 1324 5020 19324 78256 323896 1393624 6137080 27898144 129735376 619921936 | +| 50 | Bessel2:Alt | RowLcm | missing | 1 1 1 3 6 30 45 105 420 3780 9450 103950 623700 540540 945945 14189175 113513400 1929727800 | +| 51 | Bessel2:Alt | RowGcd | B069834 | 1 1 1 3 3 5 15 21 7 9 45 55 33 39 91 105 15 17 153 171 95 105 231 253 69 75 325 351 189 203 435 465 | +| 52 | Bessel2:Alt | RowMax | missing | 1 1 1 3 6 15 45 105 420 1260 4725 17325 62370 270270 945945 4729725 18918900 91891800 413513100 | +| 53 | Bessel2:Alt | ColMiddle | missing | 1 1 0 0 6 10 0 0 210 378 0 0 13860 25740 0 0 1351350 2552550 0 0 174594420 333316620 0 0 | +| 54 | Bessel2:Alt | CentralE | missing | 1 0 6 0 210 0 13860 0 1351350 0 174594420 0 28109701620 0 5421156741000 0 | +| 55 | Bessel2:Alt | CentralO | missing | 1 0 10 0 378 0 25740 0 2552550 0 333316620 0 54057118500 0 10480903032600 0 | +| 56 | Bessel2:Alt | ColRight | A123023 | 1 0 1 0 3 0 15 0 105 0 945 0 10395 0 135135 0 2027025 0 34459425 0 654729075 0 13749310575 0 | +| 57 | Bessel2:Alt | BinConv | A344501 | 1 1 2 10 40 176 916 4852 27350 163270 1009396 6504356 43400512 298682320 2118282440 15433768456 | +| 58 | Bessel2:Alt | InvBinConv | A344501 | 1 -1 2 -10 40 -176 916 -4852 27350 -163270 1009396 -6504356 43400512 -298682320 2118282440 | +| 59 | Bessel2:Alt | TransNat0 | missing | 0 0 2 6 24 80 300 1092 4256 16704 68760 288200 1253472 5568576 25507664 119385840 573715200 | +| 60 | Bessel2:Alt | TransNat1 | missing | 1 1 4 10 34 106 376 1324 5020 19324 78256 323896 1393624 6137080 27898144 129735376 619921936 | +| 61 | Bessel2:Alt | TransSqrs | missing | 0 0 4 12 72 280 1320 5544 25312 112032 520560 2413840 11583264 56096352 279147232 1408172640 | +| 62 | Bessel2:Alt | PosHalf | A005425 | 1 2 5 14 43 142 499 1850 7193 29186 123109 538078 2430355 11317646 54229907 266906858 1347262321 | +| 63 | Bessel2:Alt | NegHalf | A005425 | 1 -2 5 -14 43 -142 499 -1850 7193 -29186 123109 -538078 2430355 -11317646 54229907 -266906858 | +| 64 | Bessel2:Alt | DiagRow1 | B123023 | 1 0 3 0 15 0 105 0 945 0 10395 0 135135 0 2027025 0 34459425 0 654729075 0 13749310575 0 | +| 65 | Bessel2:Alt | DiagRow2 | missing | 1 0 6 0 45 0 420 0 4725 0 62370 0 945945 0 16216200 0 310134825 0 6547290750 0 151242416325 0 | +| 66 | Bessel2:Alt | DiagRow3 | missing | 1 0 10 0 105 0 1260 0 17325 0 270270 0 4729725 0 91891800 0 1964187225 0 45831035250 0 | +| 67 | Bessel2:Alt | DiagCol2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 68 | Bessel2:Alt | Poly | missing | 1 1 1 1 1 1 1 2 1 1 1 4 5 1 1 1 10 13 10 1 1 1 26 73 28 17 1 1 1 76 281 298 49 26 1 1 1 232 1741 | +| 69 | Bessel2:Alt | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 70 | Bessel2:Alt | PolyRow3 | A056107 | 1 4 13 28 49 76 109 148 193 244 301 364 433 508 589 676 769 868 973 1084 1201 1324 1453 1588 1729 | +| 71 | Bessel2:Alt | PolyCol2 | A115329 | 1 1 5 13 73 281 1741 8485 57233 328753 2389141 15539261 120661465 866545993 7140942173 55667517781 | +| 72 | Bessel2:Alt | PolyCol3 | missing | 1 1 10 28 298 1306 14716 85240 1012348 7149628 89149816 732616336 9558448120 88681012408 | +| 73 | Bessel2:Alt | PolyDiag | A359739 | 1 1 5 28 865 9626 758701 12606280 1872570113 41351249980 9925656304501 273345587759696 | +| 74 | Bessel2:Rev | Triangle | A066325 | 1 0 1 1 0 1 0 3 0 1 3 0 6 0 1 0 15 0 10 0 1 15 0 45 0 15 0 1 0 105 0 105 0 21 0 1 105 0 420 0 210 0 | +| 75 | Bessel2:Rev | Inv | A066325 | 1 0 1 -1 0 1 0 -3 0 1 3 0 -6 0 1 0 15 0 -10 0 1 -15 0 45 0 -15 0 1 0 -105 0 105 0 -21 0 1 105 0 | +| 76 | Bessel2:Rev | RevInv | A073278 | 1 1 0 1 0 -1 1 0 -3 0 1 0 -6 0 3 1 0 -10 0 15 0 1 0 -15 0 45 0 -15 1 0 -21 0 105 0 -105 0 1 0 -28 0 | +| 77 | Bessel2:Rev | Acc | missing | 1 0 1 1 1 2 0 3 3 4 3 3 9 9 10 0 15 15 25 25 26 15 15 60 60 75 75 76 0 105 105 210 210 231 231 232 | +| 78 | Bessel2:Rev | AccRev | missing | 1 1 1 1 1 2 1 1 4 4 1 1 7 7 10 1 1 11 11 26 26 1 1 16 16 61 61 76 1 1 22 22 127 127 232 232 1 1 29 | +| 79 | Bessel2:Rev | AntiDiag | missing | 1 0 1 1 0 0 3 3 1 0 0 0 15 15 6 1 0 0 0 0 105 105 45 10 1 0 0 0 0 0 945 945 420 105 15 1 0 0 0 0 0 | +| 80 | Bessel2:Rev | Diffx1 | missing | 1 0 2 1 0 3 0 6 0 4 3 0 18 0 5 0 30 0 40 0 6 15 0 135 0 75 0 7 0 210 0 420 0 126 0 8 105 0 1260 0 | +| 81 | Bessel2:Rev | RowSum | A000085 | 1 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 | +| 82 | Bessel2:Rev | EvenSum | missing | 1 0 2 0 10 0 76 0 764 0 9496 0 140152 0 2390480 0 46206736 0 997313824 0 23758664096 0 618884638912 | +| 83 | Bessel2:Rev | OddSum | missing | 0 1 0 4 0 26 0 232 0 2620 0 35696 0 568504 0 10349536 0 211799312 0 4809701440 0 119952692896 0 | +| 84 | Bessel2:Rev | AltSum | A000085 | 1 -1 2 -4 10 -26 76 -232 764 -2620 9496 -35696 140152 -568504 2390480 -10349536 46206736 -211799312 | +| 85 | Bessel2:Rev | DiagSum | missing | 1 0 2 0 7 0 37 0 266 0 2431 0 27007 0 353522 0 5329837 0 90960751 0 1733584106 0 36496226977 0 | +| 86 | Bessel2:Rev | AccSum | missing | 1 1 4 10 34 106 376 1324 5020 19324 78256 323896 1393624 6137080 27898144 129735376 619921936 | +| 87 | Bessel2:Rev | AccRevSum | B000085 | 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 997313824 | +| 88 | Bessel2:Rev | RowLcm | missing | 1 1 1 3 6 30 45 105 420 3780 9450 103950 623700 540540 945945 14189175 113513400 1929727800 | +| 89 | Bessel2:Rev | RowGcd | B069834 | 1 1 1 3 3 5 15 21 7 9 45 55 33 39 91 105 15 17 153 171 95 105 231 253 69 75 325 351 189 203 435 465 | +| 90 | Bessel2:Rev | RowMax | missing | 1 1 1 3 6 15 45 105 420 1260 4725 17325 62370 270270 945945 4729725 18918900 91891800 413513100 | +| 91 | Bessel2:Rev | ColMiddle | missing | 1 0 0 3 6 0 0 105 210 0 0 6930 13860 0 0 675675 1351350 0 0 87297210 174594420 0 0 14054850810 | +| 92 | Bessel2:Rev | CentralE | missing | 1 0 6 0 210 0 13860 0 1351350 0 174594420 0 28109701620 0 5421156741000 0 | +| 93 | Bessel2:Rev | CentralO | missing | 0 3 0 105 0 6930 0 675675 0 87297210 0 14054850810 0 2710578370500 0 609202488769875 | +| 94 | Bessel2:Rev | ColLeft | A123023 | 1 0 1 0 3 0 15 0 105 0 945 0 10395 0 135135 0 2027025 0 34459425 0 654729075 0 13749310575 0 | +| 95 | Bessel2:Rev | BinConv | A344501 | 1 1 2 10 40 176 916 4852 27350 163270 1009396 6504356 43400512 298682320 2118282440 15433768456 | +| 96 | Bessel2:Rev | InvBinConv | A344501 | 1 1 2 10 40 176 916 4852 27350 163270 1009396 6504356 43400512 298682320 2118282440 15433768456 | +| 97 | Bessel2:Rev | TransNat0 | A013989 | 0 1 2 6 16 50 156 532 1856 6876 26200 104456 428352 1821976 7959056 35857200 165592576 785514512 | +| 98 | Bessel2:Rev | TransNat1 | B000085 | 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 997313824 | +| 99 | Bessel2:Rev | TransSqrs | missing | 0 1 4 12 40 130 456 1624 6112 23580 94960 392656 1681824 7390552 33466720 155243040 739307776 | +| 100 | Bessel2:Rev | PosHalf | A115329 | 1 1 5 13 73 281 1741 8485 57233 328753 2389141 15539261 120661465 866545993 7140942173 55667517781 | +| 101 | Bessel2:Rev | NegHalf | A115329 | 1 1 5 13 73 281 1741 8485 57233 328753 2389141 15539261 120661465 866545993 7140942173 55667517781 | +| 102 | Bessel2:Rev | DiagRow2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 103 | Bessel2:Rev | DiagCol1 | B123023 | 1 0 3 0 15 0 105 0 945 0 10395 0 135135 0 2027025 0 34459425 0 654729075 0 13749310575 0 | +| 104 | Bessel2:Rev | DiagCol2 | missing | 1 0 6 0 45 0 420 0 4725 0 62370 0 945945 0 16216200 0 310134825 0 6547290750 0 151242416325 0 | +| 105 | Bessel2:Rev | DiagCol3 | missing | 1 0 10 0 105 0 1260 0 17325 0 270270 0 4729725 0 91891800 0 1964187225 0 45831035250 0 | +| 106 | Bessel2:Rev | Poly | missing | 1 0 1 1 1 1 0 2 2 1 3 4 5 3 1 0 10 14 10 4 1 15 26 43 36 17 5 1 0 76 142 138 76 26 6 1 105 232 499 | +| 107 | Bessel2:Rev | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 108 | Bessel2:Rev | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 109 | Bessel2:Rev | PolyRow3 | B079908 | 0 4 14 36 76 140 234 364 536 756 1030 1364 1764 2236 2786 3420 4144 4964 5886 6916 8060 9324 10714 | +| 110 | Bessel2:Rev | PolyCol2 | A005425 | 1 2 5 14 43 142 499 1850 7193 29186 123109 538078 2430355 11317646 54229907 266906858 1347262321 | +| 111 | Bessel2:Rev | PolyCol3 | A202834 | 1 3 10 36 138 558 2364 10440 47868 227124 1112184 5607792 29057400 154465704 841143312 4685949792 | +| 112 | Bessel2:Rev | PolyDiag | missing | 1 1 5 36 355 4450 67731 1213240 25004393 582854940 15161973445 435430350256 13683641789115 | +| 113 | Bessel2:Rev:Inv | Triangle | A066325 | 1 0 1 -1 0 1 0 -3 0 1 3 0 -6 0 1 0 15 0 -10 0 1 -15 0 45 0 -15 0 1 0 -105 0 105 0 -21 0 1 105 0 | +| 114 | Bessel2:Rev:Inv | Rev | A073278 | 1 1 0 1 0 -1 1 0 -3 0 1 0 -6 0 3 1 0 -10 0 15 0 1 0 -15 0 45 0 -15 1 0 -21 0 105 0 -105 0 1 0 -28 0 | +| 115 | Bessel2:Rev:Inv | Inv | A066325 | 1 0 1 1 0 1 0 3 0 1 3 0 6 0 1 0 15 0 10 0 1 15 0 45 0 15 0 1 0 105 0 105 0 21 0 1 105 0 420 0 210 0 | +| 116 | Bessel2:Rev:Inv | RevInv | A073278 | 1 1 0 1 0 1 1 0 3 0 1 0 6 0 3 1 0 10 0 15 0 1 0 15 0 45 0 15 1 0 21 0 105 0 105 0 1 0 28 0 210 0 | +| 117 | Bessel2:Rev:Inv | Acc | missing | 1 0 1 -1 -1 0 0 -3 -3 -2 3 3 -3 -3 -2 0 15 15 5 5 6 -15 -15 30 30 15 15 16 0 -105 -105 0 0 -21 -21 | +| 118 | Bessel2:Rev:Inv | AccRev | missing | 1 1 1 1 1 0 1 1 -2 -2 1 1 -5 -5 -2 1 1 -9 -9 6 6 1 1 -14 -14 31 31 16 1 1 -20 -20 85 85 -20 -20 1 1 | +| 119 | Bessel2:Rev:Inv | AntiDiag | missing | 1 0 -1 1 0 0 3 -3 1 0 0 0 -15 15 -6 1 0 0 0 0 105 -105 45 -10 1 0 0 0 0 0 -945 945 -420 105 -15 1 0 | +| 120 | Bessel2:Rev:Inv | Diffx1 | missing | 1 0 2 -1 0 3 0 -6 0 4 3 0 -18 0 5 0 30 0 -40 0 6 -15 0 135 0 -75 0 7 0 -210 0 420 0 -126 0 8 105 0 | +| 121 | Bessel2:Rev:Inv | RowSum | A001464 | 1 1 0 -2 -2 6 16 -20 -132 28 1216 936 -12440 -23672 138048 469456 -1601264 -9112560 18108928 | +| 122 | Bessel2:Rev:Inv | EvenSum | missing | 1 0 0 0 -2 0 16 0 -132 0 1216 0 -12440 0 138048 0 -1601264 0 18108928 0 -161934624 0 -404007680 0 | +| 123 | Bessel2:Rev:Inv | OddSum | missing | 0 1 0 -2 0 6 0 -20 0 28 0 936 0 -23672 0 469456 0 -9112560 0 182135008 0 -3804634784 0 83297957568 | +| 124 | Bessel2:Rev:Inv | AltSum | A001464 | 1 -1 0 2 -2 -6 16 20 -132 -28 1216 -936 -12440 23672 138048 -469456 -1601264 9112560 18108928 | +| 125 | Bessel2:Rev:Inv | DiagSum | missing | 1 0 0 0 1 0 -5 0 36 0 -329 0 3655 0 -47844 0 721315 0 -12310199 0 234615096 0 -4939227215 0 | +| 126 | Bessel2:Rev:Inv | AccSum | missing | 1 1 -2 -8 -2 46 76 -272 -1028 1468 13096 -2144 -172952 -169688 2402128 5440576 -34732784 -136804592 | +| 127 | Bessel2:Rev:Inv | AccRevSum | missing | 1 2 2 -2 -10 -4 52 92 -292 -1160 1496 14312 -1208 -185392 -193360 2540176 5910032 -36334048 | +| 128 | Bessel2:Rev:Inv | RowLcm | missing | 1 1 1 3 6 30 45 105 420 3780 9450 103950 623700 540540 945945 14189175 113513400 1929727800 | +| 129 | Bessel2:Rev:Inv | RowGcd | B069834 | 1 1 1 3 3 5 15 21 7 9 45 55 33 39 91 105 15 17 153 171 95 105 231 253 69 75 325 351 189 203 435 465 | +| 130 | Bessel2:Rev:Inv | RowMax | missing | 1 1 1 3 6 15 45 105 420 1260 4725 17325 62370 270270 945945 4729725 18918900 91891800 413513100 | +| 131 | Bessel2:Rev:Inv | ColMiddle | missing | 1 0 0 -3 -6 0 0 105 210 0 0 -6930 -13860 0 0 675675 1351350 0 0 -87297210 -174594420 0 0 | +| 132 | Bessel2:Rev:Inv | CentralE | missing | 1 0 -6 0 210 0 -13860 0 1351350 0 -174594420 0 28109701620 0 -5421156741000 0 | +| 133 | Bessel2:Rev:Inv | CentralO | missing | 0 -3 0 105 0 -6930 0 675675 0 -87297210 0 14054850810 0 -2710578370500 0 609202488769875 | +| 134 | Bessel2:Rev:Inv | ColLeft | A123023 | 1 0 -1 0 3 0 -15 0 105 0 -945 0 10395 0 -135135 0 2027025 0 -34459425 0 654729075 0 -13749310575 0 | +| 135 | Bessel2:Rev:Inv | BinConv | missing | 1 1 0 -8 -32 -24 436 2500 2262 -51002 -319544 -133704 9545680 55736032 -46326552 -2422602104 | +| 136 | Bessel2:Rev:Inv | InvBinConv | missing | 1 1 0 -8 -32 -24 436 2500 2262 -51002 -319544 -133704 9545680 55736032 -46326552 -2422602104 | +| 137 | Bessel2:Rev:Inv | TransNat0 | missing | 0 1 2 0 -8 -10 36 112 -160 -1188 280 13376 11232 -161720 -331408 2070720 7511296 -27221488 | +| 138 | Bessel2:Rev:Inv | TransNat1 | missing | 1 2 2 -2 -10 -4 52 92 -292 -1160 1496 14312 -1208 -185392 -193360 2540176 5910032 -36334048 | +| 139 | Bessel2:Rev:Inv | TransSqrs | missing | 0 1 4 6 -8 -50 -24 364 736 -2628 -11600 16456 171744 -15704 -2595488 -2900400 40642816 100470544 | +| 140 | Bessel2:Rev:Inv | PosHalf | A362176 | 1 1 -3 -11 25 201 -299 -5123 3249 167185 50221 -6637179 -8846903 309737689 769776645 -16575533939 | +| 141 | Bessel2:Rev:Inv | NegHalf | A362176 | 1 1 -3 -11 25 201 -299 -5123 3249 167185 50221 -6637179 -8846903 309737689 769776645 -16575533939 | +| 142 | Bessel2:Rev:Inv | DiagRow2 | A025731 | -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 -276 | +| 143 | Bessel2:Rev:Inv | DiagCol1 | B123023 | 1 0 -3 0 15 0 -105 0 945 0 -10395 0 135135 0 -2027025 0 34459425 0 -654729075 0 13749310575 0 | +| 144 | Bessel2:Rev:Inv | DiagCol2 | missing | 1 0 -6 0 45 0 -420 0 4725 0 -62370 0 945945 0 -16216200 0 310134825 0 -6547290750 0 151242416325 0 | +| 145 | Bessel2:Rev:Inv | DiagCol3 | missing | 1 0 -10 0 105 0 -1260 0 17325 0 -270270 0 4729725 0 -91891800 0 1964187225 0 -45831035250 0 | +| 146 | Bessel2:Rev:Inv | Poly | missing | 1 0 1 -1 1 1 0 0 2 1 3 -2 3 3 1 0 -2 2 8 4 1 -15 6 -5 18 15 5 1 0 16 -18 30 52 24 6 1 105 -20 -11 | +| 147 | Bessel2:Rev:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 148 | Bessel2:Rev:Inv | PolyRow2 | A131386 | -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 149 | Bessel2:Rev:Inv | PolyRow3 | A121670 | 0 -2 2 18 52 110 198 322 488 702 970 1298 1692 2158 2702 3330 4048 4862 5778 6802 7940 9198 10582 | +| 150 | Bessel2:Rev:Inv | PolyCol2 | missing | 1 2 3 2 -5 -18 -11 86 249 -190 -2621 -3342 22147 84398 -119115 -1419802 -1052879 20611074 59121091 | +| 151 | Bessel2:Rev:Inv | PolyCol3 | missing | 1 3 8 18 30 18 -96 -396 -516 1620 9504 12312 -67608 -350568 -172800 4389552 15760656 -22950864 | +| 152 | Bessel2:Rev:Inv | PolyDiag | A089466 | 1 1 3 18 163 1950 28821 505876 10270569 236644092 6098971555 173823708696 5427760272507 | \ No newline at end of file diff --git a/data/md/BinaryPell.md b/data/md/BinaryPell.md index 83e8871..64dc2a6 100644 --- a/data/md/BinaryPell.md +++ b/data/md/BinaryPell.md @@ -41,118 +41,157 @@ | 38 | BinaryPell:Std | PolyCol2 | A000302 | 1 4 16 64 256 1024 4096 16384 65536 262144 1048576 4194304 16777216 67108864 268435456 1073741824 | | 39 | BinaryPell:Std | PolyCol3 | A000351 | 1 5 25 125 625 3125 15625 78125 390625 1953125 9765625 48828125 244140625 1220703125 6103515625 | | 40 | BinaryPell:Std | PolyDiag | B000272 | 1 3 16 125 1296 16807 262144 4782969 100000000 2357947691 61917364224 1792160394037 56693912375296 | -| 41 | BinaryPell:Rev | Triangle | A013609 | 1 1 2 1 4 4 1 6 12 8 1 8 24 32 16 1 10 40 80 80 32 1 12 60 160 240 192 64 1 14 84 280 560 672 448 | -| 42 | BinaryPell:Rev | InvRev | A038207 | 1 -2 1 4 -4 1 -8 12 -6 1 16 -32 24 -8 1 -32 80 -80 40 -10 1 64 -192 240 -160 60 -12 1 -128 448 -672 | -| 43 | BinaryPell:Rev | Acc | missing | 1 1 3 1 5 9 1 7 19 27 1 9 33 65 81 1 11 51 131 211 243 1 13 73 233 473 665 729 1 15 99 379 939 1611 | -| 44 | BinaryPell:Rev | AccRev | missing | 1 2 3 4 8 9 8 20 26 27 16 48 72 80 81 32 112 192 232 242 243 64 256 496 656 716 728 729 128 576 | -| 45 | BinaryPell:Rev | AntiDiag | A128099 | 1 1 1 2 1 4 1 6 4 1 8 12 1 10 24 8 1 12 40 32 1 14 60 80 16 1 16 84 160 80 1 18 112 280 240 32 1 20 | -| 46 | BinaryPell:Rev | Diffx1 | missing | 1 1 4 1 8 12 1 12 36 32 1 16 72 128 80 1 20 120 320 400 192 1 24 180 640 1200 1152 448 1 28 252 | -| 47 | BinaryPell:Rev | RowSum | A000244 | 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721 129140163 | -| 48 | BinaryPell:Rev | EvenSum | A046717 | 1 1 5 13 41 121 365 1093 3281 9841 29525 88573 265721 797161 2391485 7174453 21523361 64570081 | -| 49 | BinaryPell:Rev | OddSum | B152011 | 0 2 4 14 40 122 364 1094 3280 9842 29524 88574 265720 797162 2391484 7174454 21523360 64570082 | -| 50 | BinaryPell:Rev | DiagSum | A077925 | 1 1 3 5 11 21 43 85 171 341 683 1365 2731 5461 10923 21845 43691 87381 174763 349525 699051 1398101 | -| 51 | BinaryPell:Rev | AccSum | A006234 | 1 4 15 54 189 648 2187 7290 24057 78732 255879 826686 2657205 8503056 27103491 86093442 272629233 | -| 52 | BinaryPell:Rev | AccRevSum | A081038 | 1 5 21 81 297 1053 3645 12393 41553 137781 452709 1476225 4782969 15411789 49424013 157837977 | -| 53 | BinaryPell:Rev | RowLcm | missing | 1 2 4 24 96 160 960 13440 35840 32256 322560 2365440 28385280 52715520 49201152 1476034560 | -| 54 | BinaryPell:Rev | RowGcd | A171977 | 1 2 4 2 8 2 4 2 16 2 4 2 8 2 4 2 32 2 4 2 8 2 4 2 16 2 4 2 8 2 4 2 | -| 55 | BinaryPell:Rev | RowMax | A109388 | 1 2 4 12 32 80 240 672 1792 5376 15360 42240 126720 366080 1025024 3075072 8945664 25346048 | -| 56 | BinaryPell:Rev | ColMiddle | A098660 | 1 1 4 6 24 40 160 280 1120 2016 8064 14784 59136 109824 439296 823680 3294720 6223360 24893440 | -| 57 | BinaryPell:Rev | CentralE | A059304 | 1 4 24 160 1120 8064 59136 439296 3294720 24893440 189190144 1444724736 11076222976 85201715200 | -| 58 | BinaryPell:Rev | CentralO | A069720 | 1 6 40 280 2016 14784 109824 823680 6223360 47297536 361181184 2769055744 21300428800 164317593600 | -| 59 | BinaryPell:Rev | ColRight | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 60 | BinaryPell:Rev | BinConv | A001850 | 1 3 13 63 321 1683 8989 48639 265729 1462563 8097453 45046719 251595969 1409933619 7923848253 | -| 61 | BinaryPell:Rev | InvBinConv | A098332 | 1 1 -3 -11 1 81 141 -363 -1791 -479 13597 29877 -54911 -353807 -223443 2539989 6806529 -8302527 | -| 62 | BinaryPell:Rev | TransNat0 | A212697 | 0 2 12 54 216 810 2916 10206 34992 118098 393660 1299078 4251528 13817466 44641044 143489070 | -| 63 | BinaryPell:Rev | TransNat1 | A081038 | 1 5 21 81 297 1053 3645 12393 41553 137781 452709 1476225 4782969 15411789 49424013 157837977 | -| 64 | BinaryPell:Rev | TransSqrs | A062189 | 0 2 20 126 648 2970 12636 51030 198288 747954 2755620 9959598 35429400 124357194 431530092 | -| 65 | BinaryPell:Rev | PosHalf | A000302 | 1 4 16 64 256 1024 4096 16384 65536 262144 1048576 4194304 16777216 67108864 268435456 1073741824 | -| 66 | BinaryPell:Rev | DiagRow1 | B001787 | 1 4 12 32 80 192 448 1024 2304 5120 11264 24576 53248 114688 245760 524288 1114112 2359296 4980736 | -| 67 | BinaryPell:Rev | DiagRow2 | B001788 | 1 6 24 80 240 672 1792 4608 11520 28160 67584 159744 372736 860160 1966080 4456448 10027008 | -| 68 | BinaryPell:Rev | DiagRow3 | A001789 | 1 8 40 160 560 1792 5376 15360 42240 112640 292864 745472 1863680 4587520 11141120 26738688 | -| 69 | BinaryPell:Rev | DiagCol1 | A053228 | 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 | -| 70 | BinaryPell:Rev | DiagCol2 | B046092 | 4 12 24 40 60 84 112 144 180 220 264 312 364 420 480 544 612 684 760 840 924 1012 1104 1200 1300 | -| 71 | BinaryPell:Rev | DiagCol3 | A130809 | 8 32 80 160 280 448 672 960 1320 1760 2288 2912 3640 4480 5440 6528 7752 9120 10640 12320 14168 | -| 72 | BinaryPell:Rev | Poly | A145905 | 1 1 1 1 3 1 1 9 5 1 1 27 25 7 1 1 81 125 49 9 1 1 243 625 343 81 11 1 1 729 3125 2401 729 121 13 1 | -| 73 | BinaryPell:Rev | PolyRow1 | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | -| 74 | BinaryPell:Rev | PolyRow2 | A016754 | 1 9 25 49 81 121 169 225 289 361 441 529 625 729 841 961 1089 1225 1369 1521 1681 1849 2025 2209 | -| 75 | BinaryPell:Rev | PolyRow3 | A016755 | 1 27 125 343 729 1331 2197 3375 4913 6859 9261 12167 15625 19683 24389 29791 35937 42875 50653 | -| 76 | BinaryPell:Rev | PolyCol2 | A000351 | 1 5 25 125 625 3125 15625 78125 390625 1953125 9765625 48828125 244140625 1220703125 6103515625 | -| 77 | BinaryPell:Rev | PolyCol3 | A000420 | 1 7 49 343 2401 16807 117649 823543 5764801 40353607 282475249 1977326743 13841287201 96889010407 | -| 78 | BinaryPell:Rev | PolyDiag | A085527 | 1 3 25 343 6561 161051 4826809 170859375 6975757441 322687697779 16679880978201 952809757913927 | -| 79 | BinaryPell:Inv | Triangle | A038207 | 1 -2 1 4 -4 1 -8 12 -6 1 16 -32 24 -8 1 -32 80 -80 40 -10 1 64 -192 240 -160 60 -12 1 -128 448 -672 | -| 80 | BinaryPell:Inv | Rev | A013609 | 1 1 -2 1 -4 4 1 -6 12 -8 1 -8 24 -32 16 1 -10 40 -80 80 -32 1 -12 60 -160 240 -192 64 1 -14 84 -280 | -| 81 | BinaryPell:Inv | RevInv | A013609 | 1 1 2 1 4 4 1 6 12 8 1 8 24 32 16 1 10 40 80 80 32 1 12 60 160 240 192 64 1 14 84 280 560 672 448 | -| 82 | BinaryPell:Inv | Acc | missing | 1 -2 -1 4 0 1 -8 4 -2 -1 16 -16 8 0 1 -32 48 -32 8 -2 -1 64 -128 112 -48 12 0 1 -128 320 -352 208 | -| 83 | BinaryPell:Inv | AccRev | A119258 | 1 1 -1 1 -3 1 1 -5 7 -1 1 -7 17 -15 1 1 -9 31 -49 31 -1 1 -11 49 -111 129 -63 1 1 -13 71 -209 351 | -| 84 | BinaryPell:Inv | AntiDiag | A133156 | 1 -2 4 1 -8 -4 16 12 1 -32 -32 -6 64 80 24 1 -128 -192 -80 -8 256 448 240 40 1 -512 -1024 -672 -160 | -| 85 | BinaryPell:Inv | Diffx1 | missing | 1 -2 2 4 -8 3 -8 24 -18 4 16 -64 72 -32 5 -32 160 -240 160 -50 6 64 -384 720 -640 300 -72 7 -128 | -| 86 | BinaryPell:Inv | EvenSum | A007051 | 1 -2 5 -14 41 -122 365 -1094 3281 -9842 29525 -88574 265721 -797162 2391485 -7174454 21523361 | -| 87 | BinaryPell:Inv | OddSum | A003462 | 0 1 -4 13 -40 121 -364 1093 -3280 9841 -29524 88573 -265720 797161 -2391484 7174453 -21523360 | -| 88 | BinaryPell:Inv | AltSum | A000244 | 1 -3 9 -27 81 -243 729 -2187 6561 -19683 59049 -177147 531441 -1594323 4782969 -14348907 43046721 | -| 89 | BinaryPell:Inv | DiagSum | A077985 | 1 -2 5 -12 29 -70 169 -408 985 -2378 5741 -13860 33461 -80782 195025 -470832 1136689 -2744210 | -| 90 | BinaryPell:Inv | AccSum | A005408 | 1 -3 5 -7 9 -11 13 -15 17 -19 21 -23 25 -27 29 -31 33 -35 37 -39 41 -43 45 -47 49 -51 53 -55 57 -59 | -| 91 | BinaryPell:Inv | AccRevSum | A023443 | 1 0 -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 16 -17 18 -19 20 -21 22 -23 24 -25 26 -27 28 -29 30 | -| 92 | BinaryPell:Inv | RowLcm | missing | 1 2 4 24 96 160 960 13440 35840 32256 322560 2365440 28385280 52715520 49201152 1476034560 | -| 93 | BinaryPell:Inv | RowGcd | A171977 | 1 2 4 2 8 2 4 2 16 2 4 2 8 2 4 2 32 2 4 2 8 2 4 2 16 2 4 2 8 2 4 2 | -| 94 | BinaryPell:Inv | RowMax | A109388 | 1 2 4 12 32 80 240 672 1792 5376 15360 42240 126720 366080 1025024 3075072 8945664 25346048 | -| 95 | BinaryPell:Inv | ColMiddle | missing | 1 -2 -4 12 24 -80 -160 560 1120 -4032 -8064 29568 59136 -219648 -439296 1647360 3294720 -12446720 | -| 96 | BinaryPell:Inv | CentralE | A059304 | 1 -4 24 -160 1120 -8064 59136 -439296 3294720 -24893440 189190144 -1444724736 11076222976 | -| 97 | BinaryPell:Inv | CentralO | B069723 | -2 12 -80 560 -4032 29568 -219648 1647360 -12446720 94595072 -722362368 5538111488 -42600857600 | -| 98 | BinaryPell:Inv | ColLeft | A000079 | 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 -524288 | -| 99 | BinaryPell:Inv | BinConv | A098332 | 1 -1 -3 11 1 -81 141 363 -1791 479 13597 -29877 -54911 353807 -223443 -2539989 6806529 8302527 | -| 100 | BinaryPell:Inv | InvBinConv | A001850 | 1 3 13 63 321 1683 8989 48639 265729 1462563 8097453 45046719 251595969 1409933619 7923848253 | -| 101 | BinaryPell:Inv | TransNat0 | A001477 | 0 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 | -| 102 | BinaryPell:Inv | TransNat1 | A023443 | 1 0 -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 16 -17 18 -19 20 -21 22 -23 24 -25 26 -27 28 -29 30 | -| 103 | BinaryPell:Inv | TransSqrs | A067998 | 0 1 0 -3 8 -15 24 -35 48 -63 80 -99 120 -143 168 -195 224 -255 288 -323 360 -399 440 -483 528 -575 | -| 104 | BinaryPell:Inv | PosHalf | A000244 | 1 -3 9 -27 81 -243 729 -2187 6561 -19683 59049 -177147 531441 -1594323 4782969 -14348907 43046721 | -| 105 | BinaryPell:Inv | NegHalf | A000351 | 1 5 25 125 625 3125 15625 78125 390625 1953125 9765625 48828125 244140625 1220703125 6103515625 | -| 106 | BinaryPell:Inv | DiagRow1 | A053228 | -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 -52 | -| 107 | BinaryPell:Inv | DiagRow2 | B046092 | 4 12 24 40 60 84 112 144 180 220 264 312 364 420 480 544 612 684 760 840 924 1012 1104 1200 1300 | -| 108 | BinaryPell:Inv | DiagRow3 | A130809 | -8 -32 -80 -160 -280 -448 -672 -960 -1320 -1760 -2288 -2912 -3640 -4480 -5440 -6528 -7752 -9120 | -| 109 | BinaryPell:Inv | DiagCol1 | B001787 | 1 -4 12 -32 80 -192 448 -1024 2304 -5120 11264 -24576 53248 -114688 245760 -524288 1114112 -2359296 | -| 110 | BinaryPell:Inv | DiagCol2 | B001788 | 1 -6 24 -80 240 -672 1792 -4608 11520 -28160 67584 -159744 372736 -860160 1966080 -4456448 10027008 | -| 111 | BinaryPell:Inv | DiagCol3 | A001789 | 1 -8 40 -160 560 -1792 5376 -15360 42240 -112640 292864 -745472 1863680 -4587520 11141120 -26738688 | -| 112 | BinaryPell:Inv | Poly | missing | 1 -2 1 4 -1 1 -8 1 0 1 16 -1 0 1 1 -32 1 0 1 2 1 64 -1 0 1 4 3 1 -128 1 0 1 8 9 4 1 256 -1 0 1 16 | -| 113 | BinaryPell:Inv | PolyRow1 | A022958 | -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | -| 114 | BinaryPell:Inv | PolyRow2 | A174902 | 4 1 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 | -| 115 | BinaryPell:Inv | PolyRow3 | B000578 | -8 -1 0 1 8 27 64 125 216 343 512 729 1000 1331 1728 2197 2744 3375 4096 4913 5832 6859 8000 9261 | -| 116 | BinaryPell:Inv | PolyDiag | B008788 | 1 -1 0 1 16 243 4096 78125 1679616 40353607 1073741824 31381059609 1000000000000 34522712143931 | -| 117 | BinaryPell:Inv:Rev | Triangle | A013609 | 1 1 -2 1 -4 4 1 -6 12 -8 1 -8 24 -32 16 1 -10 40 -80 80 -32 1 -12 60 -160 240 -192 64 1 -14 84 -280 | -| 118 | BinaryPell:Inv:Rev | Rev | A038207 | 1 -2 1 4 -4 1 -8 12 -6 1 16 -32 24 -8 1 -32 80 -80 40 -10 1 64 -192 240 -160 60 -12 1 -128 448 -672 | -| 119 | BinaryPell:Inv:Rev | InvRev | A038207 | 1 2 1 4 4 1 8 12 6 1 16 32 24 8 1 32 80 80 40 10 1 64 192 240 160 60 12 1 128 448 672 560 280 84 14 | -| 120 | BinaryPell:Inv:Rev | Acc | A119258 | 1 1 -1 1 -3 1 1 -5 7 -1 1 -7 17 -15 1 1 -9 31 -49 31 -1 1 -11 49 -111 129 -63 1 1 -13 71 -209 351 | -| 121 | BinaryPell:Inv:Rev | AccRev | missing | 1 -2 -1 4 0 1 -8 4 -2 -1 16 -16 8 0 1 -32 48 -32 8 -2 -1 64 -128 112 -48 12 0 1 -128 320 -352 208 | -| 122 | BinaryPell:Inv:Rev | AntiDiag | A128099 | 1 1 1 -2 1 -4 1 -6 4 1 -8 12 1 -10 24 -8 1 -12 40 -32 1 -14 60 -80 16 1 -16 84 -160 80 1 -18 112 | -| 123 | BinaryPell:Inv:Rev | Diffx1 | missing | 1 1 -4 1 -8 12 1 -12 36 -32 1 -16 72 -128 80 1 -20 120 -320 400 -192 1 -24 180 -640 1200 -1152 448 | -| 124 | BinaryPell:Inv:Rev | EvenSum | A046717 | 1 1 5 13 41 121 365 1093 3281 9841 29525 88573 265721 797161 2391485 7174453 21523361 64570081 | -| 125 | BinaryPell:Inv:Rev | OddSum | B152011 | 0 -2 -4 -14 -40 -122 -364 -1094 -3280 -9842 -29524 -88574 -265720 -797162 -2391484 -7174454 | -| 126 | BinaryPell:Inv:Rev | AltSum | A000244 | 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721 129140163 | -| 127 | BinaryPell:Inv:Rev | DiagSum | A077020 | 1 1 -1 -3 -1 5 7 -3 -17 -11 23 45 -1 -91 -89 93 271 85 -457 -627 287 1541 967 -2115 -4049 181 8279 | -| 128 | BinaryPell:Inv:Rev | AccSum | A023443 | 1 0 -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 16 -17 18 -19 20 -21 22 -23 24 -25 26 -27 28 -29 30 | -| 129 | BinaryPell:Inv:Rev | AccRevSum | A005408 | 1 -3 5 -7 9 -11 13 -15 17 -19 21 -23 25 -27 29 -31 33 -35 37 -39 41 -43 45 -47 49 -51 53 -55 57 -59 | -| 130 | BinaryPell:Inv:Rev | RowLcm | missing | 1 2 4 24 96 160 960 13440 35840 32256 322560 2365440 28385280 52715520 49201152 1476034560 | -| 131 | BinaryPell:Inv:Rev | RowGcd | A171977 | 1 2 4 2 8 2 4 2 16 2 4 2 8 2 4 2 32 2 4 2 8 2 4 2 16 2 4 2 8 2 4 2 | -| 132 | BinaryPell:Inv:Rev | RowMax | A109388 | 1 2 4 12 32 80 240 672 1792 5376 15360 42240 126720 366080 1025024 3075072 8945664 25346048 | -| 133 | BinaryPell:Inv:Rev | ColMiddle | A098660 | 1 1 -4 -6 24 40 -160 -280 1120 2016 -8064 -14784 59136 109824 -439296 -823680 3294720 6223360 | -| 134 | BinaryPell:Inv:Rev | CentralE | A059304 | 1 -4 24 -160 1120 -8064 59136 -439296 3294720 -24893440 189190144 -1444724736 11076222976 | -| 135 | BinaryPell:Inv:Rev | CentralO | A069720 | 1 -6 40 -280 2016 -14784 109824 -823680 6223360 -47297536 361181184 -2769055744 21300428800 | -| 136 | BinaryPell:Inv:Rev | ColRight | A000079 | 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 -524288 | -| 137 | BinaryPell:Inv:Rev | BinConv | A098332 | 1 -1 -3 11 1 -81 141 363 -1791 479 13597 -29877 -54911 353807 -223443 -2539989 6806529 8302527 | -| 138 | BinaryPell:Inv:Rev | InvBinConv | A001850 | 1 -3 13 -63 321 -1683 8989 -48639 265729 -1462563 8097453 -45046719 251595969 -1409933619 | -| 139 | BinaryPell:Inv:Rev | TransNat0 | A005843 | 0 -2 4 -6 8 -10 12 -14 16 -18 20 -22 24 -26 28 -30 32 -34 36 -38 40 -42 44 -46 48 -50 52 -54 56 -58 | -| 140 | BinaryPell:Inv:Rev | TransNat1 | A005408 | 1 -3 5 -7 9 -11 13 -15 17 -19 21 -23 25 -27 29 -31 33 -35 37 -39 41 -43 45 -47 49 -51 53 -55 57 -59 | -| 141 | BinaryPell:Inv:Rev | TransSqrs | A002939 | 0 -2 12 -30 56 -90 132 -182 240 -306 380 -462 552 -650 756 -870 992 -1122 1260 -1406 1560 -1722 | -| 142 | BinaryPell:Inv:Rev | NegHalf | A000302 | 1 -4 16 -64 256 -1024 4096 -16384 65536 -262144 1048576 -4194304 16777216 -67108864 268435456 | -| 143 | BinaryPell:Inv:Rev | DiagRow1 | B001787 | 1 -4 12 -32 80 -192 448 -1024 2304 -5120 11264 -24576 53248 -114688 245760 -524288 1114112 -2359296 | -| 144 | BinaryPell:Inv:Rev | DiagRow2 | B001788 | 1 -6 24 -80 240 -672 1792 -4608 11520 -28160 67584 -159744 372736 -860160 1966080 -4456448 10027008 | -| 145 | BinaryPell:Inv:Rev | DiagRow3 | A001789 | 1 -8 40 -160 560 -1792 5376 -15360 42240 -112640 292864 -745472 1863680 -4587520 11141120 -26738688 | -| 146 | BinaryPell:Inv:Rev | DiagCol1 | A053228 | -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 -52 | -| 147 | BinaryPell:Inv:Rev | DiagCol2 | B046092 | 4 12 24 40 60 84 112 144 180 220 264 312 364 420 480 544 612 684 760 840 924 1012 1104 1200 1300 | -| 148 | BinaryPell:Inv:Rev | DiagCol3 | A130809 | -8 -32 -80 -160 -280 -448 -672 -960 -1320 -1760 -2288 -2912 -3640 -4480 -5440 -6528 -7752 -9120 | -| 149 | BinaryPell:Inv:Rev | Poly | missing | 1 1 1 1 -1 1 1 1 -3 1 1 -1 9 -5 1 1 1 -27 25 -7 1 1 -1 81 -125 49 -9 1 1 1 -243 625 -343 81 -11 1 1 | -| 150 | BinaryPell:Inv:Rev | PolyRow1 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | -| 151 | BinaryPell:Inv:Rev | PolyRow2 | A016754 | 1 1 9 25 49 81 121 169 225 289 361 441 529 625 729 841 961 1089 1225 1369 1521 1681 1849 2025 2209 | -| 152 | BinaryPell:Inv:Rev | PolyRow3 | A016755 | 1 -1 -27 -125 -343 -729 -1331 -2197 -3375 -4913 -6859 -9261 -12167 -15625 -19683 -24389 -29791 | -| 153 | BinaryPell:Inv:Rev | PolyCol2 | A000244 | 1 -3 9 -27 81 -243 729 -2187 6561 -19683 59049 -177147 531441 -1594323 4782969 -14348907 43046721 | -| 154 | BinaryPell:Inv:Rev | PolyCol3 | A000351 | 1 -5 25 -125 625 -3125 15625 -78125 390625 -1953125 9765625 -48828125 244140625 -1220703125 | -| 155 | BinaryPell:Inv:Rev | PolyDiag | A085528 | 1 -1 9 -125 2401 -59049 1771561 -62748517 2562890625 -118587876497 6131066257801 -350277500542221 | \ No newline at end of file +| 41 | BinaryPell:Alt | Triangle | A038207 | 1 2 -1 4 -4 1 8 -12 6 -1 16 -32 24 -8 1 32 -80 80 -40 10 -1 64 -192 240 -160 60 -12 1 128 -448 672 | +| 42 | BinaryPell:Alt | Rev | A013609 | 1 -1 2 1 -4 4 -1 6 -12 8 1 -8 24 -32 16 -1 10 -40 80 -80 32 1 -12 60 -160 240 -192 64 -1 14 -84 280 | +| 43 | BinaryPell:Alt | Inv | missing | 1 -2 1 -12 4 1 40 -12 -6 1 528 -160 -72 8 1 -2912 880 400 -40 -10 1 -57792 17472 7920 -800 -180 12 | +| 44 | BinaryPell:Alt | RevInv | missing | 1 1 -2 1 4 -12 1 -6 -12 40 1 8 -72 -160 528 1 -10 -40 400 880 -2912 1 12 -180 -800 7920 17472 | +| 45 | BinaryPell:Alt | Acc | missing | 1 2 1 4 0 1 8 -4 2 1 16 -16 8 0 1 32 -48 32 -8 2 1 64 -128 112 -48 12 0 1 128 -320 352 -208 72 -12 | +| 46 | BinaryPell:Alt | AccRev | A119258 | 1 -1 1 1 -3 1 -1 5 -7 1 1 -7 17 -15 1 -1 9 -31 49 -31 1 1 -11 49 -111 129 -63 1 -1 13 -71 209 -351 | +| 47 | BinaryPell:Alt | AntiDiag | A133156 | 1 2 4 -1 8 -4 16 -12 1 32 -32 6 64 -80 24 -1 128 -192 80 -8 256 -448 240 -40 1 512 -1024 672 -160 | +| 48 | BinaryPell:Alt | Diffx1 | missing | 1 2 -2 4 -8 3 8 -24 18 -4 16 -64 72 -32 5 32 -160 240 -160 50 -6 64 -384 720 -640 300 -72 7 128 | +| 49 | BinaryPell:Alt | EvenSum | A007051 | 1 2 5 14 41 122 365 1094 3281 9842 29525 88574 265721 797162 2391485 7174454 21523361 64570082 | +| 50 | BinaryPell:Alt | OddSum | A003462 | 0 -1 -4 -13 -40 -121 -364 -1093 -3280 -9841 -29524 -88573 -265720 -797161 -2391484 -7174453 | +| 51 | BinaryPell:Alt | AltSum | A000244 | 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721 129140163 | +| 52 | BinaryPell:Alt | DiagSum | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 53 | BinaryPell:Alt | AccSum | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | +| 54 | BinaryPell:Alt | AccRevSum | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 55 | BinaryPell:Alt | RowLcm | missing | 1 2 4 24 96 160 960 13440 35840 32256 322560 2365440 28385280 52715520 49201152 1476034560 | +| 56 | BinaryPell:Alt | RowGcd | A171977 | 1 2 4 2 8 2 4 2 16 2 4 2 8 2 4 2 32 2 4 2 8 2 4 2 16 2 4 2 8 2 4 2 | +| 57 | BinaryPell:Alt | RowMax | A109388 | 1 2 4 12 32 80 240 672 1792 5376 15360 42240 126720 366080 1025024 3075072 8945664 25346048 | +| 58 | BinaryPell:Alt | ColMiddle | missing | 1 2 -4 -12 24 80 -160 -560 1120 4032 -8064 -29568 59136 219648 -439296 -1647360 3294720 12446720 | +| 59 | BinaryPell:Alt | CentralE | A059304 | 1 -4 24 -160 1120 -8064 59136 -439296 3294720 -24893440 189190144 -1444724736 11076222976 | +| 60 | BinaryPell:Alt | CentralO | B069723 | 2 -12 80 -560 4032 -29568 219648 -1647360 12446720 -94595072 722362368 -5538111488 42600857600 | +| 61 | BinaryPell:Alt | ColLeft | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 62 | BinaryPell:Alt | BinConv | A098332 | 1 1 -3 -11 1 81 141 -363 -1791 -479 13597 29877 -54911 -353807 -223443 2539989 6806529 -8302527 | +| 63 | BinaryPell:Alt | InvBinConv | A001850 | 1 -3 13 -63 321 -1683 8989 -48639 265729 -1462563 8097453 -45046719 251595969 -1409933619 | +| 64 | BinaryPell:Alt | TransNat0 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 65 | BinaryPell:Alt | TransNat1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 66 | BinaryPell:Alt | TransSqrs | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 67 | BinaryPell:Alt | PosHalf | A000244 | 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721 129140163 | +| 68 | BinaryPell:Alt | NegHalf | A000351 | 1 -5 25 -125 625 -3125 15625 -78125 390625 -1953125 9765625 -48828125 244140625 -1220703125 | +| 69 | BinaryPell:Alt | DiagRow1 | A053228 | 2 -4 6 -8 10 -12 14 -16 18 -20 22 -24 26 -28 30 -32 34 -36 38 -40 42 -44 46 -48 50 -52 54 -56 58 | +| 70 | BinaryPell:Alt | DiagRow2 | B046092 | 4 -12 24 -40 60 -84 112 -144 180 -220 264 -312 364 -420 480 -544 612 -684 760 -840 924 -1012 1104 | +| 71 | BinaryPell:Alt | DiagRow3 | A130809 | 8 -32 80 -160 280 -448 672 -960 1320 -1760 2288 -2912 3640 -4480 5440 -6528 7752 -9120 10640 -12320 | +| 72 | BinaryPell:Alt | DiagCol1 | B001787 | -1 -4 -12 -32 -80 -192 -448 -1024 -2304 -5120 -11264 -24576 -53248 -114688 -245760 -524288 -1114112 | +| 73 | BinaryPell:Alt | DiagCol2 | B001788 | 1 6 24 80 240 672 1792 4608 11520 28160 67584 159744 372736 860160 1966080 4456448 10027008 | +| 74 | BinaryPell:Alt | DiagCol3 | A001789 | -1 -8 -40 -160 -560 -1792 -5376 -15360 -42240 -112640 -292864 -745472 -1863680 -4587520 -11141120 | +| 75 | BinaryPell:Alt | Poly | missing | 1 2 1 4 1 1 8 1 0 1 16 1 0 -1 1 32 1 0 1 -2 1 64 1 0 -1 4 -3 1 128 1 0 1 -8 9 -4 1 256 1 0 -1 16 | +| 76 | BinaryPell:Alt | PolyRow1 | A022958 | 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 | +| 77 | BinaryPell:Alt | PolyRow2 | A174902 | 4 1 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 | +| 78 | BinaryPell:Alt | PolyRow3 | B000578 | 8 1 0 -1 -8 -27 -64 -125 -216 -343 -512 -729 -1000 -1331 -1728 -2197 -2744 -3375 -4096 -4913 -5832 | +| 79 | BinaryPell:Alt | PolyDiag | B008788 | 1 1 0 -1 16 -243 4096 -78125 1679616 -40353607 1073741824 -31381059609 1000000000000 | +| 80 | BinaryPell:Rev | Triangle | A013609 | 1 1 2 1 4 4 1 6 12 8 1 8 24 32 16 1 10 40 80 80 32 1 12 60 160 240 192 64 1 14 84 280 560 672 448 | +| 81 | BinaryPell:Rev | InvRev | A038207 | 1 -2 1 4 -4 1 -8 12 -6 1 16 -32 24 -8 1 -32 80 -80 40 -10 1 64 -192 240 -160 60 -12 1 -128 448 -672 | +| 82 | BinaryPell:Rev | Acc | missing | 1 1 3 1 5 9 1 7 19 27 1 9 33 65 81 1 11 51 131 211 243 1 13 73 233 473 665 729 1 15 99 379 939 1611 | +| 83 | BinaryPell:Rev | AccRev | missing | 1 2 3 4 8 9 8 20 26 27 16 48 72 80 81 32 112 192 232 242 243 64 256 496 656 716 728 729 128 576 | +| 84 | BinaryPell:Rev | AntiDiag | A128099 | 1 1 1 2 1 4 1 6 4 1 8 12 1 10 24 8 1 12 40 32 1 14 60 80 16 1 16 84 160 80 1 18 112 280 240 32 1 20 | +| 85 | BinaryPell:Rev | Diffx1 | missing | 1 1 4 1 8 12 1 12 36 32 1 16 72 128 80 1 20 120 320 400 192 1 24 180 640 1200 1152 448 1 28 252 | +| 86 | BinaryPell:Rev | RowSum | A000244 | 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721 129140163 | +| 87 | BinaryPell:Rev | EvenSum | A046717 | 1 1 5 13 41 121 365 1093 3281 9841 29525 88573 265721 797161 2391485 7174453 21523361 64570081 | +| 88 | BinaryPell:Rev | OddSum | B152011 | 0 2 4 14 40 122 364 1094 3280 9842 29524 88574 265720 797162 2391484 7174454 21523360 64570082 | +| 89 | BinaryPell:Rev | DiagSum | A077925 | 1 1 3 5 11 21 43 85 171 341 683 1365 2731 5461 10923 21845 43691 87381 174763 349525 699051 1398101 | +| 90 | BinaryPell:Rev | AccSum | A006234 | 1 4 15 54 189 648 2187 7290 24057 78732 255879 826686 2657205 8503056 27103491 86093442 272629233 | +| 91 | BinaryPell:Rev | AccRevSum | A081038 | 1 5 21 81 297 1053 3645 12393 41553 137781 452709 1476225 4782969 15411789 49424013 157837977 | +| 92 | BinaryPell:Rev | RowLcm | missing | 1 2 4 24 96 160 960 13440 35840 32256 322560 2365440 28385280 52715520 49201152 1476034560 | +| 93 | BinaryPell:Rev | RowGcd | A171977 | 1 2 4 2 8 2 4 2 16 2 4 2 8 2 4 2 32 2 4 2 8 2 4 2 16 2 4 2 8 2 4 2 | +| 94 | BinaryPell:Rev | RowMax | A109388 | 1 2 4 12 32 80 240 672 1792 5376 15360 42240 126720 366080 1025024 3075072 8945664 25346048 | +| 95 | BinaryPell:Rev | ColMiddle | A098660 | 1 1 4 6 24 40 160 280 1120 2016 8064 14784 59136 109824 439296 823680 3294720 6223360 24893440 | +| 96 | BinaryPell:Rev | CentralE | A059304 | 1 4 24 160 1120 8064 59136 439296 3294720 24893440 189190144 1444724736 11076222976 85201715200 | +| 97 | BinaryPell:Rev | CentralO | A069720 | 1 6 40 280 2016 14784 109824 823680 6223360 47297536 361181184 2769055744 21300428800 164317593600 | +| 98 | BinaryPell:Rev | ColRight | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 99 | BinaryPell:Rev | BinConv | A001850 | 1 3 13 63 321 1683 8989 48639 265729 1462563 8097453 45046719 251595969 1409933619 7923848253 | +| 100 | BinaryPell:Rev | InvBinConv | A098332 | 1 1 -3 -11 1 81 141 -363 -1791 -479 13597 29877 -54911 -353807 -223443 2539989 6806529 -8302527 | +| 101 | BinaryPell:Rev | TransNat0 | A212697 | 0 2 12 54 216 810 2916 10206 34992 118098 393660 1299078 4251528 13817466 44641044 143489070 | +| 102 | BinaryPell:Rev | TransNat1 | A081038 | 1 5 21 81 297 1053 3645 12393 41553 137781 452709 1476225 4782969 15411789 49424013 157837977 | +| 103 | BinaryPell:Rev | TransSqrs | A062189 | 0 2 20 126 648 2970 12636 51030 198288 747954 2755620 9959598 35429400 124357194 431530092 | +| 104 | BinaryPell:Rev | PosHalf | A000302 | 1 4 16 64 256 1024 4096 16384 65536 262144 1048576 4194304 16777216 67108864 268435456 1073741824 | +| 105 | BinaryPell:Rev | DiagRow1 | B001787 | 1 4 12 32 80 192 448 1024 2304 5120 11264 24576 53248 114688 245760 524288 1114112 2359296 4980736 | +| 106 | BinaryPell:Rev | DiagRow2 | B001788 | 1 6 24 80 240 672 1792 4608 11520 28160 67584 159744 372736 860160 1966080 4456448 10027008 | +| 107 | BinaryPell:Rev | DiagRow3 | A001789 | 1 8 40 160 560 1792 5376 15360 42240 112640 292864 745472 1863680 4587520 11141120 26738688 | +| 108 | BinaryPell:Rev | DiagCol1 | A053228 | 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 | +| 109 | BinaryPell:Rev | DiagCol2 | B046092 | 4 12 24 40 60 84 112 144 180 220 264 312 364 420 480 544 612 684 760 840 924 1012 1104 1200 1300 | +| 110 | BinaryPell:Rev | DiagCol3 | A130809 | 8 32 80 160 280 448 672 960 1320 1760 2288 2912 3640 4480 5440 6528 7752 9120 10640 12320 14168 | +| 111 | BinaryPell:Rev | Poly | A145905 | 1 1 1 1 3 1 1 9 5 1 1 27 25 7 1 1 81 125 49 9 1 1 243 625 343 81 11 1 1 729 3125 2401 729 121 13 1 | +| 112 | BinaryPell:Rev | PolyRow1 | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | +| 113 | BinaryPell:Rev | PolyRow2 | A016754 | 1 9 25 49 81 121 169 225 289 361 441 529 625 729 841 961 1089 1225 1369 1521 1681 1849 2025 2209 | +| 114 | BinaryPell:Rev | PolyRow3 | A016755 | 1 27 125 343 729 1331 2197 3375 4913 6859 9261 12167 15625 19683 24389 29791 35937 42875 50653 | +| 115 | BinaryPell:Rev | PolyCol2 | A000351 | 1 5 25 125 625 3125 15625 78125 390625 1953125 9765625 48828125 244140625 1220703125 6103515625 | +| 116 | BinaryPell:Rev | PolyCol3 | A000420 | 1 7 49 343 2401 16807 117649 823543 5764801 40353607 282475249 1977326743 13841287201 96889010407 | +| 117 | BinaryPell:Rev | PolyDiag | A085527 | 1 3 25 343 6561 161051 4826809 170859375 6975757441 322687697779 16679880978201 952809757913927 | +| 118 | BinaryPell:Inv | Triangle | A038207 | 1 -2 1 4 -4 1 -8 12 -6 1 16 -32 24 -8 1 -32 80 -80 40 -10 1 64 -192 240 -160 60 -12 1 -128 448 -672 | +| 119 | BinaryPell:Inv | Rev | A013609 | 1 1 -2 1 -4 4 1 -6 12 -8 1 -8 24 -32 16 1 -10 40 -80 80 -32 1 -12 60 -160 240 -192 64 1 -14 84 -280 | +| 120 | BinaryPell:Inv | RevInv | A013609 | 1 1 2 1 4 4 1 6 12 8 1 8 24 32 16 1 10 40 80 80 32 1 12 60 160 240 192 64 1 14 84 280 560 672 448 | +| 121 | BinaryPell:Inv | Acc | missing | 1 -2 -1 4 0 1 -8 4 -2 -1 16 -16 8 0 1 -32 48 -32 8 -2 -1 64 -128 112 -48 12 0 1 -128 320 -352 208 | +| 122 | BinaryPell:Inv | AccRev | A119258 | 1 1 -1 1 -3 1 1 -5 7 -1 1 -7 17 -15 1 1 -9 31 -49 31 -1 1 -11 49 -111 129 -63 1 1 -13 71 -209 351 | +| 123 | BinaryPell:Inv | AntiDiag | A133156 | 1 -2 4 1 -8 -4 16 12 1 -32 -32 -6 64 80 24 1 -128 -192 -80 -8 256 448 240 40 1 -512 -1024 -672 -160 | +| 124 | BinaryPell:Inv | Diffx1 | missing | 1 -2 2 4 -8 3 -8 24 -18 4 16 -64 72 -32 5 -32 160 -240 160 -50 6 64 -384 720 -640 300 -72 7 -128 | +| 125 | BinaryPell:Inv | EvenSum | A007051 | 1 -2 5 -14 41 -122 365 -1094 3281 -9842 29525 -88574 265721 -797162 2391485 -7174454 21523361 | +| 126 | BinaryPell:Inv | OddSum | A003462 | 0 1 -4 13 -40 121 -364 1093 -3280 9841 -29524 88573 -265720 797161 -2391484 7174453 -21523360 | +| 127 | BinaryPell:Inv | AltSum | A000244 | 1 -3 9 -27 81 -243 729 -2187 6561 -19683 59049 -177147 531441 -1594323 4782969 -14348907 43046721 | +| 128 | BinaryPell:Inv | DiagSum | A077985 | 1 -2 5 -12 29 -70 169 -408 985 -2378 5741 -13860 33461 -80782 195025 -470832 1136689 -2744210 | +| 129 | BinaryPell:Inv | AccSum | A005408 | 1 -3 5 -7 9 -11 13 -15 17 -19 21 -23 25 -27 29 -31 33 -35 37 -39 41 -43 45 -47 49 -51 53 -55 57 -59 | +| 130 | BinaryPell:Inv | AccRevSum | A023443 | 1 0 -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 16 -17 18 -19 20 -21 22 -23 24 -25 26 -27 28 -29 30 | +| 131 | BinaryPell:Inv | RowLcm | missing | 1 2 4 24 96 160 960 13440 35840 32256 322560 2365440 28385280 52715520 49201152 1476034560 | +| 132 | BinaryPell:Inv | RowGcd | A171977 | 1 2 4 2 8 2 4 2 16 2 4 2 8 2 4 2 32 2 4 2 8 2 4 2 16 2 4 2 8 2 4 2 | +| 133 | BinaryPell:Inv | RowMax | A109388 | 1 2 4 12 32 80 240 672 1792 5376 15360 42240 126720 366080 1025024 3075072 8945664 25346048 | +| 134 | BinaryPell:Inv | ColMiddle | missing | 1 -2 -4 12 24 -80 -160 560 1120 -4032 -8064 29568 59136 -219648 -439296 1647360 3294720 -12446720 | +| 135 | BinaryPell:Inv | CentralE | A059304 | 1 -4 24 -160 1120 -8064 59136 -439296 3294720 -24893440 189190144 -1444724736 11076222976 | +| 136 | BinaryPell:Inv | CentralO | B069723 | -2 12 -80 560 -4032 29568 -219648 1647360 -12446720 94595072 -722362368 5538111488 -42600857600 | +| 137 | BinaryPell:Inv | ColLeft | A000079 | 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 -524288 | +| 138 | BinaryPell:Inv | BinConv | A098332 | 1 -1 -3 11 1 -81 141 363 -1791 479 13597 -29877 -54911 353807 -223443 -2539989 6806529 8302527 | +| 139 | BinaryPell:Inv | InvBinConv | A001850 | 1 3 13 63 321 1683 8989 48639 265729 1462563 8097453 45046719 251595969 1409933619 7923848253 | +| 140 | BinaryPell:Inv | TransNat0 | A001477 | 0 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 | +| 141 | BinaryPell:Inv | TransNat1 | A023443 | 1 0 -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 16 -17 18 -19 20 -21 22 -23 24 -25 26 -27 28 -29 30 | +| 142 | BinaryPell:Inv | TransSqrs | A067998 | 0 1 0 -3 8 -15 24 -35 48 -63 80 -99 120 -143 168 -195 224 -255 288 -323 360 -399 440 -483 528 -575 | +| 143 | BinaryPell:Inv | PosHalf | A000244 | 1 -3 9 -27 81 -243 729 -2187 6561 -19683 59049 -177147 531441 -1594323 4782969 -14348907 43046721 | +| 144 | BinaryPell:Inv | NegHalf | A000351 | 1 5 25 125 625 3125 15625 78125 390625 1953125 9765625 48828125 244140625 1220703125 6103515625 | +| 145 | BinaryPell:Inv | DiagRow1 | A053228 | -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 -52 | +| 146 | BinaryPell:Inv | DiagRow2 | B046092 | 4 12 24 40 60 84 112 144 180 220 264 312 364 420 480 544 612 684 760 840 924 1012 1104 1200 1300 | +| 147 | BinaryPell:Inv | DiagRow3 | A130809 | -8 -32 -80 -160 -280 -448 -672 -960 -1320 -1760 -2288 -2912 -3640 -4480 -5440 -6528 -7752 -9120 | +| 148 | BinaryPell:Inv | DiagCol1 | B001787 | 1 -4 12 -32 80 -192 448 -1024 2304 -5120 11264 -24576 53248 -114688 245760 -524288 1114112 -2359296 | +| 149 | BinaryPell:Inv | DiagCol2 | B001788 | 1 -6 24 -80 240 -672 1792 -4608 11520 -28160 67584 -159744 372736 -860160 1966080 -4456448 10027008 | +| 150 | BinaryPell:Inv | DiagCol3 | A001789 | 1 -8 40 -160 560 -1792 5376 -15360 42240 -112640 292864 -745472 1863680 -4587520 11141120 -26738688 | +| 151 | BinaryPell:Inv | Poly | missing | 1 -2 1 4 -1 1 -8 1 0 1 16 -1 0 1 1 -32 1 0 1 2 1 64 -1 0 1 4 3 1 -128 1 0 1 8 9 4 1 256 -1 0 1 16 | +| 152 | BinaryPell:Inv | PolyRow1 | A022958 | -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | +| 153 | BinaryPell:Inv | PolyRow2 | A174902 | 4 1 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 | +| 154 | BinaryPell:Inv | PolyRow3 | B000578 | -8 -1 0 1 8 27 64 125 216 343 512 729 1000 1331 1728 2197 2744 3375 4096 4913 5832 6859 8000 9261 | +| 155 | BinaryPell:Inv | PolyDiag | B008788 | 1 -1 0 1 16 243 4096 78125 1679616 40353607 1073741824 31381059609 1000000000000 34522712143931 | +| 156 | BinaryPell:Inv:Rev | Triangle | A013609 | 1 1 -2 1 -4 4 1 -6 12 -8 1 -8 24 -32 16 1 -10 40 -80 80 -32 1 -12 60 -160 240 -192 64 1 -14 84 -280 | +| 157 | BinaryPell:Inv:Rev | Rev | A038207 | 1 -2 1 4 -4 1 -8 12 -6 1 16 -32 24 -8 1 -32 80 -80 40 -10 1 64 -192 240 -160 60 -12 1 -128 448 -672 | +| 158 | BinaryPell:Inv:Rev | InvRev | A038207 | 1 2 1 4 4 1 8 12 6 1 16 32 24 8 1 32 80 80 40 10 1 64 192 240 160 60 12 1 128 448 672 560 280 84 14 | +| 159 | BinaryPell:Inv:Rev | Acc | A119258 | 1 1 -1 1 -3 1 1 -5 7 -1 1 -7 17 -15 1 1 -9 31 -49 31 -1 1 -11 49 -111 129 -63 1 1 -13 71 -209 351 | +| 160 | BinaryPell:Inv:Rev | AccRev | missing | 1 -2 -1 4 0 1 -8 4 -2 -1 16 -16 8 0 1 -32 48 -32 8 -2 -1 64 -128 112 -48 12 0 1 -128 320 -352 208 | +| 161 | BinaryPell:Inv:Rev | AntiDiag | A128099 | 1 1 1 -2 1 -4 1 -6 4 1 -8 12 1 -10 24 -8 1 -12 40 -32 1 -14 60 -80 16 1 -16 84 -160 80 1 -18 112 | +| 162 | BinaryPell:Inv:Rev | Diffx1 | missing | 1 1 -4 1 -8 12 1 -12 36 -32 1 -16 72 -128 80 1 -20 120 -320 400 -192 1 -24 180 -640 1200 -1152 448 | +| 163 | BinaryPell:Inv:Rev | EvenSum | A046717 | 1 1 5 13 41 121 365 1093 3281 9841 29525 88573 265721 797161 2391485 7174453 21523361 64570081 | +| 164 | BinaryPell:Inv:Rev | OddSum | B152011 | 0 -2 -4 -14 -40 -122 -364 -1094 -3280 -9842 -29524 -88574 -265720 -797162 -2391484 -7174454 | +| 165 | BinaryPell:Inv:Rev | AltSum | A000244 | 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721 129140163 | +| 166 | BinaryPell:Inv:Rev | DiagSum | A077020 | 1 1 -1 -3 -1 5 7 -3 -17 -11 23 45 -1 -91 -89 93 271 85 -457 -627 287 1541 967 -2115 -4049 181 8279 | +| 167 | BinaryPell:Inv:Rev | AccSum | A023443 | 1 0 -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 16 -17 18 -19 20 -21 22 -23 24 -25 26 -27 28 -29 30 | +| 168 | BinaryPell:Inv:Rev | AccRevSum | A005408 | 1 -3 5 -7 9 -11 13 -15 17 -19 21 -23 25 -27 29 -31 33 -35 37 -39 41 -43 45 -47 49 -51 53 -55 57 -59 | +| 169 | BinaryPell:Inv:Rev | RowLcm | missing | 1 2 4 24 96 160 960 13440 35840 32256 322560 2365440 28385280 52715520 49201152 1476034560 | +| 170 | BinaryPell:Inv:Rev | RowGcd | A171977 | 1 2 4 2 8 2 4 2 16 2 4 2 8 2 4 2 32 2 4 2 8 2 4 2 16 2 4 2 8 2 4 2 | +| 171 | BinaryPell:Inv:Rev | RowMax | A109388 | 1 2 4 12 32 80 240 672 1792 5376 15360 42240 126720 366080 1025024 3075072 8945664 25346048 | +| 172 | BinaryPell:Inv:Rev | ColMiddle | A098660 | 1 1 -4 -6 24 40 -160 -280 1120 2016 -8064 -14784 59136 109824 -439296 -823680 3294720 6223360 | +| 173 | BinaryPell:Inv:Rev | CentralE | A059304 | 1 -4 24 -160 1120 -8064 59136 -439296 3294720 -24893440 189190144 -1444724736 11076222976 | +| 174 | BinaryPell:Inv:Rev | CentralO | A069720 | 1 -6 40 -280 2016 -14784 109824 -823680 6223360 -47297536 361181184 -2769055744 21300428800 | +| 175 | BinaryPell:Inv:Rev | ColRight | A000079 | 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 -524288 | +| 176 | BinaryPell:Inv:Rev | BinConv | A098332 | 1 -1 -3 11 1 -81 141 363 -1791 479 13597 -29877 -54911 353807 -223443 -2539989 6806529 8302527 | +| 177 | BinaryPell:Inv:Rev | InvBinConv | A001850 | 1 -3 13 -63 321 -1683 8989 -48639 265729 -1462563 8097453 -45046719 251595969 -1409933619 | +| 178 | BinaryPell:Inv:Rev | TransNat0 | A005843 | 0 -2 4 -6 8 -10 12 -14 16 -18 20 -22 24 -26 28 -30 32 -34 36 -38 40 -42 44 -46 48 -50 52 -54 56 -58 | +| 179 | BinaryPell:Inv:Rev | TransNat1 | A005408 | 1 -3 5 -7 9 -11 13 -15 17 -19 21 -23 25 -27 29 -31 33 -35 37 -39 41 -43 45 -47 49 -51 53 -55 57 -59 | +| 180 | BinaryPell:Inv:Rev | TransSqrs | A002939 | 0 -2 12 -30 56 -90 132 -182 240 -306 380 -462 552 -650 756 -870 992 -1122 1260 -1406 1560 -1722 | +| 181 | BinaryPell:Inv:Rev | NegHalf | A000302 | 1 -4 16 -64 256 -1024 4096 -16384 65536 -262144 1048576 -4194304 16777216 -67108864 268435456 | +| 182 | BinaryPell:Inv:Rev | DiagRow1 | B001787 | 1 -4 12 -32 80 -192 448 -1024 2304 -5120 11264 -24576 53248 -114688 245760 -524288 1114112 -2359296 | +| 183 | BinaryPell:Inv:Rev | DiagRow2 | B001788 | 1 -6 24 -80 240 -672 1792 -4608 11520 -28160 67584 -159744 372736 -860160 1966080 -4456448 10027008 | +| 184 | BinaryPell:Inv:Rev | DiagRow3 | A001789 | 1 -8 40 -160 560 -1792 5376 -15360 42240 -112640 292864 -745472 1863680 -4587520 11141120 -26738688 | +| 185 | BinaryPell:Inv:Rev | DiagCol1 | A053228 | -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 -52 | +| 186 | BinaryPell:Inv:Rev | DiagCol2 | B046092 | 4 12 24 40 60 84 112 144 180 220 264 312 364 420 480 544 612 684 760 840 924 1012 1104 1200 1300 | +| 187 | BinaryPell:Inv:Rev | DiagCol3 | A130809 | -8 -32 -80 -160 -280 -448 -672 -960 -1320 -1760 -2288 -2912 -3640 -4480 -5440 -6528 -7752 -9120 | +| 188 | BinaryPell:Inv:Rev | Poly | missing | 1 1 1 1 -1 1 1 1 -3 1 1 -1 9 -5 1 1 1 -27 25 -7 1 1 -1 81 -125 49 -9 1 1 1 -243 625 -343 81 -11 1 1 | +| 189 | BinaryPell:Inv:Rev | PolyRow1 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | +| 190 | BinaryPell:Inv:Rev | PolyRow2 | A016754 | 1 1 9 25 49 81 121 169 225 289 361 441 529 625 729 841 961 1089 1225 1369 1521 1681 1849 2025 2209 | +| 191 | BinaryPell:Inv:Rev | PolyRow3 | A016755 | 1 -1 -27 -125 -343 -729 -1331 -2197 -3375 -4913 -6859 -9261 -12167 -15625 -19683 -24389 -29791 | +| 192 | BinaryPell:Inv:Rev | PolyCol2 | A000244 | 1 -3 9 -27 81 -243 729 -2187 6561 -19683 59049 -177147 531441 -1594323 4782969 -14348907 43046721 | +| 193 | BinaryPell:Inv:Rev | PolyCol3 | A000351 | 1 -5 25 -125 625 -3125 15625 -78125 390625 -1953125 9765625 -48828125 244140625 -1220703125 | +| 194 | BinaryPell:Inv:Rev | PolyDiag | A085528 | 1 -1 9 -125 2401 -59049 1771561 -62748517 2562890625 -118587876497 6131066257801 -350277500542221 | \ No newline at end of file diff --git a/data/md/Binomial.md b/data/md/Binomial.md index ee87829..e5d2d0e 100644 --- a/data/md/Binomial.md +++ b/data/md/Binomial.md @@ -40,80 +40,119 @@ | 37 | Binomial:Std | PolyCol2 | A000244 | 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721 129140163 | | 38 | Binomial:Std | PolyCol3 | A000302 | 1 4 16 64 256 1024 4096 16384 65536 262144 1048576 4194304 16777216 67108864 268435456 1073741824 | | 39 | Binomial:Std | PolyDiag | A000169 | 1 2 9 64 625 7776 117649 2097152 43046721 1000000000 25937424601 743008370688 23298085122481 | -| 40 | Binomial:Inv | Triangle | A007318 | 1 -1 1 1 -2 1 -1 3 -3 1 1 -4 6 -4 1 -1 5 -10 10 -5 1 1 -6 15 -20 15 -6 1 -1 7 -21 35 -35 21 -7 1 1 | -| 41 | Binomial:Inv | Rev | A007318 | 1 1 -1 1 -2 1 1 -3 3 -1 1 -4 6 -4 1 1 -5 10 -10 5 -1 1 -6 15 -20 15 -6 1 1 -7 21 -35 35 -21 7 -1 1 | -| 42 | Binomial:Inv | RevInv | A007318 | 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 | -| 43 | Binomial:Inv | InvRev | missing | 1 -1 1 -3 2 1 5 -3 -3 1 33 -20 -18 4 1 -91 55 50 -10 -5 1 -903 546 495 -100 -45 6 1 3485 -2107 | -| 44 | Binomial:Inv | Acc | A071919 | 1 -1 0 1 -1 0 -1 2 -1 0 1 -3 3 -1 0 -1 4 -6 4 -1 0 1 -5 10 -10 5 -1 0 -1 6 -15 20 -15 6 -1 0 1 -7 | -| 45 | Binomial:Inv | AccRev | A071919 | 1 1 0 1 -1 0 1 -2 1 0 1 -3 3 -1 0 1 -4 6 -4 1 0 1 -5 10 -10 5 -1 0 1 -6 15 -20 15 -6 1 0 1 -7 21 | -| 46 | Binomial:Inv | AntiDiag | A011973 | 1 -1 1 1 -1 -2 1 3 1 -1 -4 -3 1 5 6 1 -1 -6 -10 -4 1 7 15 10 1 -1 -8 -21 -20 -5 1 9 28 35 15 1 -1 | -| 47 | Binomial:Inv | Diffx1 | A103406 | 1 -1 2 1 -4 3 -1 6 -9 4 1 -8 18 -16 5 -1 10 -30 40 -25 6 1 -12 45 -80 75 -36 7 -1 14 -63 140 -175 | -| 48 | Binomial:Inv | EvenSum | A011782 | 1 -1 2 -4 8 -16 32 -64 128 -256 512 -1024 2048 -4096 8192 -16384 32768 -65536 131072 -262144 524288 | -| 49 | Binomial:Inv | OddSum | A131577 | 0 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 -524288 | -| 50 | Binomial:Inv | AltSum | A000079 | 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 -524288 | -| 51 | Binomial:Inv | DiagSum | A185357 | 1 -1 2 -3 5 -8 13 -21 34 -55 89 -144 233 -377 610 -987 1597 -2584 4181 -6765 10946 -17711 28657 | -| 52 | Binomial:Inv | AccSum | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 53 | Binomial:Inv | AccRevSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 54 | Binomial:Inv | RowLcm | A002944 | 1 1 2 3 12 10 60 105 280 252 2520 2310 27720 25740 24024 45045 720720 680680 12252240 11639628 | -| 55 | Binomial:Inv | RowGcd | A014963 | 1 1 2 3 2 5 1 7 2 3 1 11 1 13 1 1 2 17 1 19 1 1 1 23 1 5 1 3 1 29 1 31 | -| 56 | Binomial:Inv | RowMax | A001405 | 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 48620 92378 184756 352716 705432 | -| 57 | Binomial:Inv | ColMiddle | A001405 | 1 -1 -2 3 6 -10 -20 35 70 -126 -252 462 924 -1716 -3432 6435 12870 -24310 -48620 92378 184756 | -| 58 | Binomial:Inv | CentralE | A000984 | 1 -2 6 -20 70 -252 924 -3432 12870 -48620 184756 -705432 2704156 -10400600 40116600 -155117520 | -| 59 | Binomial:Inv | CentralO | A001700 | -1 3 -10 35 -126 462 -1716 6435 -24310 92378 -352716 1352078 -5200300 20058300 -77558760 300540195 | -| 60 | Binomial:Inv | BinConv | A126869 | 1 0 -2 0 6 0 -20 0 70 0 -252 0 924 0 -3432 0 12870 0 -48620 0 184756 0 -705432 0 2704156 0 | -| 61 | Binomial:Inv | InvBinConv | A000984 | 1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 40116600 155117520 601080390 | -| 62 | Binomial:Inv | TransNat0 | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 63 | Binomial:Inv | TransNat1 | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 64 | Binomial:Inv | TransSqrs | A130706 | 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 65 | Binomial:Inv | NegHalf | A000244 | 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721 129140163 | -| 66 | Binomial:Inv | DiagRow1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | -| 67 | Binomial:Inv | DiagRow2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | -| 68 | Binomial:Inv | DiagRow3 | B000292 | -1 -4 -10 -20 -35 -56 -84 -120 -165 -220 -286 -364 -455 -560 -680 -816 -969 -1140 -1330 -1540 -1771 | -| 69 | Binomial:Inv | DiagCol1 | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | -| 70 | Binomial:Inv | DiagCol2 | A025731 | 1 -3 6 -10 15 -21 28 -36 45 -55 66 -78 91 -105 120 -136 153 -171 190 -210 231 -253 276 -300 325 | -| 71 | Binomial:Inv | DiagCol3 | B000292 | 1 -4 10 -20 35 -56 84 -120 165 -220 286 -364 455 -560 680 -816 969 -1140 1330 -1540 1771 -2024 2300 | -| 72 | Binomial:Inv | Poly | A362899 | 1 -1 1 1 0 1 -1 0 1 1 1 0 1 2 1 -1 0 1 4 3 1 1 0 1 8 9 4 1 -1 0 1 16 27 16 5 1 1 0 1 32 81 64 25 6 | -| 73 | Binomial:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | -| 74 | Binomial:Inv | PolyRow2 | A174902 | 1 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 | -| 75 | Binomial:Inv | PolyRow3 | A000578 | -1 0 1 8 27 64 125 216 343 512 729 1000 1331 1728 2197 2744 3375 4096 4913 5832 6859 8000 9261 | -| 76 | Binomial:Inv | PolyCol3 | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 77 | Binomial:Inv | PolyDiag | A065440 | 1 0 1 8 81 1024 15625 279936 5764801 134217728 3486784401 100000000000 3138428376721 | -| 78 | Binomial:Inv:Rev | Triangle | A007318 | 1 1 -1 1 -2 1 1 -3 3 -1 1 -4 6 -4 1 1 -5 10 -10 5 -1 1 -6 15 -20 15 -6 1 1 -7 21 -35 35 -21 7 -1 1 | -| 79 | Binomial:Inv:Rev | Rev | A007318 | 1 -1 1 1 -2 1 -1 3 -3 1 1 -4 6 -4 1 -1 5 -10 10 -5 1 1 -6 15 -20 15 -6 1 -1 7 -21 35 -35 21 -7 1 1 | -| 80 | Binomial:Inv:Rev | Inv | missing | 1 -1 1 -3 2 1 5 -3 -3 1 33 -20 -18 4 1 -91 55 50 -10 -5 1 -903 546 495 -100 -45 6 1 3485 -2107 | -| 81 | Binomial:Inv:Rev | RevInv | missing | 1 1 -1 1 2 -3 1 -3 -3 5 1 4 -18 -20 33 1 -5 -10 50 55 -91 1 6 -45 -100 495 546 -903 1 -7 -21 175 | -| 82 | Binomial:Inv:Rev | InvRev | A007318 | 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 | -| 83 | Binomial:Inv:Rev | Acc | A071919 | 1 1 0 1 -1 0 1 -2 1 0 1 -3 3 -1 0 1 -4 6 -4 1 0 1 -5 10 -10 5 -1 0 1 -6 15 -20 15 -6 1 0 1 -7 21 | -| 84 | Binomial:Inv:Rev | AccRev | A071919 | 1 -1 0 1 -1 0 -1 2 -1 0 1 -3 3 -1 0 -1 4 -6 4 -1 0 1 -5 10 -10 5 -1 0 -1 6 -15 20 -15 6 -1 0 1 -7 | -| 85 | Binomial:Inv:Rev | AntiDiag | A011973 | 1 1 1 -1 1 -2 1 -3 1 1 -4 3 1 -5 6 -1 1 -6 10 -4 1 -7 15 -10 1 1 -8 21 -20 5 1 -9 28 -35 15 -1 1 | -| 86 | Binomial:Inv:Rev | Diffx1 | A103406 | 1 1 -2 1 -4 3 1 -6 9 -4 1 -8 18 -16 5 1 -10 30 -40 25 -6 1 -12 45 -80 75 -36 7 1 -14 63 -140 175 | -| 87 | Binomial:Inv:Rev | EvenSum | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 88 | Binomial:Inv:Rev | OddSum | A131577 | 0 -1 -2 -4 -8 -16 -32 -64 -128 -256 -512 -1024 -2048 -4096 -8192 -16384 -32768 -65536 -131072 | -| 89 | Binomial:Inv:Rev | AltSum | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 90 | Binomial:Inv:Rev | DiagSum | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | -| 91 | Binomial:Inv:Rev | AccSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 92 | Binomial:Inv:Rev | AccRevSum | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 93 | Binomial:Inv:Rev | RowLcm | A002944 | 1 1 2 3 12 10 60 105 280 252 2520 2310 27720 25740 24024 45045 720720 680680 12252240 11639628 | -| 94 | Binomial:Inv:Rev | RowGcd | A014963 | 1 1 2 3 2 5 1 7 2 3 1 11 1 13 1 1 2 17 1 19 1 1 1 23 1 5 1 3 1 29 1 31 | -| 95 | Binomial:Inv:Rev | RowMax | A001405 | 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 48620 92378 184756 352716 705432 | -| 96 | Binomial:Inv:Rev | ColMiddle | A001405 | 1 1 -2 -3 6 10 -20 -35 70 126 -252 -462 924 1716 -3432 -6435 12870 24310 -48620 -92378 184756 | -| 97 | Binomial:Inv:Rev | CentralE | A000984 | 1 -2 6 -20 70 -252 924 -3432 12870 -48620 184756 -705432 2704156 -10400600 40116600 -155117520 | -| 98 | Binomial:Inv:Rev | CentralO | A001700 | 1 -3 10 -35 126 -462 1716 -6435 24310 -92378 352716 -1352078 5200300 -20058300 77558760 -300540195 | -| 99 | Binomial:Inv:Rev | BinConv | A126869 | 1 0 -2 0 6 0 -20 0 70 0 -252 0 924 0 -3432 0 12870 0 -48620 0 184756 0 -705432 0 2704156 0 | -| 100 | Binomial:Inv:Rev | InvBinConv | A000984 | 1 -2 6 -20 70 -252 924 -3432 12870 -48620 184756 -705432 2704156 -10400600 40116600 -155117520 | -| 101 | Binomial:Inv:Rev | TransNat0 | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 102 | Binomial:Inv:Rev | TransNat1 | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 103 | Binomial:Inv:Rev | TransSqrs | A130706 | 0 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 104 | Binomial:Inv:Rev | NegHalf | A000244 | 1 -3 9 -27 81 -243 729 -2187 6561 -19683 59049 -177147 531441 -1594323 4782969 -14348907 43046721 | -| 105 | Binomial:Inv:Rev | DiagRow1 | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | -| 106 | Binomial:Inv:Rev | DiagRow2 | A025731 | 1 -3 6 -10 15 -21 28 -36 45 -55 66 -78 91 -105 120 -136 153 -171 190 -210 231 -253 276 -300 325 | -| 107 | Binomial:Inv:Rev | DiagRow3 | B000292 | 1 -4 10 -20 35 -56 84 -120 165 -220 286 -364 455 -560 680 -816 969 -1140 1330 -1540 1771 -2024 2300 | -| 108 | Binomial:Inv:Rev | DiagCol1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | -| 109 | Binomial:Inv:Rev | DiagCol2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | -| 110 | Binomial:Inv:Rev | DiagCol3 | B000292 | -1 -4 -10 -20 -35 -56 -84 -120 -165 -220 -286 -364 -455 -560 -680 -816 -969 -1140 -1330 -1540 -1771 | -| 111 | Binomial:Inv:Rev | Poly | A362899 | 1 1 1 1 0 1 1 0 -1 1 1 0 1 -2 1 1 0 -1 4 -3 1 1 0 1 -8 9 -4 1 1 0 -1 16 -27 16 -5 1 1 0 1 -32 81 | -| 112 | Binomial:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 113 | Binomial:Inv:Rev | PolyRow2 | A174902 | 1 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 | -| 114 | Binomial:Inv:Rev | PolyRow3 | A000578 | 1 0 -1 -8 -27 -64 -125 -216 -343 -512 -729 -1000 -1331 -1728 -2197 -2744 -3375 -4096 -4913 -5832 | -| 115 | Binomial:Inv:Rev | PolyCol3 | A000079 | 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 -524288 | -| 116 | Binomial:Inv:Rev | PolyDiag | A065440 | 1 0 1 -8 81 -1024 15625 -279936 5764801 -134217728 3486784401 -100000000000 3138428376721 | \ No newline at end of file +| 40 | Binomial:Alt | Triangle | A007318 | 1 1 -1 1 -2 1 1 -3 3 -1 1 -4 6 -4 1 1 -5 10 -10 5 -1 1 -6 15 -20 15 -6 1 1 -7 21 -35 35 -21 7 -1 1 | +| 41 | Binomial:Alt | Rev | A007318 | 1 -1 1 1 -2 1 -1 3 -3 1 1 -4 6 -4 1 -1 5 -10 10 -5 1 1 -6 15 -20 15 -6 1 -1 7 -21 35 -35 21 -7 1 1 | +| 42 | Binomial:Alt | Inv | missing | 1 -1 1 -3 2 1 5 -3 -3 1 33 -20 -18 4 1 -91 55 50 -10 -5 1 -903 546 495 -100 -45 6 1 3485 -2107 | +| 43 | Binomial:Alt | RevInv | missing | 1 1 -1 1 2 -3 1 -3 -3 5 1 4 -18 -20 33 1 -5 -10 50 55 -91 1 6 -45 -100 495 546 -903 1 -7 -21 175 | +| 44 | Binomial:Alt | InvRev | A007318 | 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 | +| 45 | Binomial:Alt | Acc | A071919 | 1 1 0 1 -1 0 1 -2 1 0 1 -3 3 -1 0 1 -4 6 -4 1 0 1 -5 10 -10 5 -1 0 1 -6 15 -20 15 -6 1 0 1 -7 21 | +| 46 | Binomial:Alt | AccRev | A071919 | 1 -1 0 1 -1 0 -1 2 -1 0 1 -3 3 -1 0 -1 4 -6 4 -1 0 1 -5 10 -10 5 -1 0 -1 6 -15 20 -15 6 -1 0 1 -7 | +| 47 | Binomial:Alt | AntiDiag | A011973 | 1 1 1 -1 1 -2 1 -3 1 1 -4 3 1 -5 6 -1 1 -6 10 -4 1 -7 15 -10 1 1 -8 21 -20 5 1 -9 28 -35 15 -1 1 | +| 48 | Binomial:Alt | Diffx1 | A103406 | 1 1 -2 1 -4 3 1 -6 9 -4 1 -8 18 -16 5 1 -10 30 -40 25 -6 1 -12 45 -80 75 -36 7 1 -14 63 -140 175 | +| 49 | Binomial:Alt | EvenSum | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 50 | Binomial:Alt | OddSum | A131577 | 0 -1 -2 -4 -8 -16 -32 -64 -128 -256 -512 -1024 -2048 -4096 -8192 -16384 -32768 -65536 -131072 | +| 51 | Binomial:Alt | AltSum | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 52 | Binomial:Alt | DiagSum | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | +| 53 | Binomial:Alt | AccSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 54 | Binomial:Alt | AccRevSum | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 55 | Binomial:Alt | RowLcm | A002944 | 1 1 2 3 12 10 60 105 280 252 2520 2310 27720 25740 24024 45045 720720 680680 12252240 11639628 | +| 56 | Binomial:Alt | RowGcd | A014963 | 1 1 2 3 2 5 1 7 2 3 1 11 1 13 1 1 2 17 1 19 1 1 1 23 1 5 1 3 1 29 1 31 | +| 57 | Binomial:Alt | RowMax | A001405 | 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 48620 92378 184756 352716 705432 | +| 58 | Binomial:Alt | ColMiddle | A001405 | 1 1 -2 -3 6 10 -20 -35 70 126 -252 -462 924 1716 -3432 -6435 12870 24310 -48620 -92378 184756 | +| 59 | Binomial:Alt | CentralE | A000984 | 1 -2 6 -20 70 -252 924 -3432 12870 -48620 184756 -705432 2704156 -10400600 40116600 -155117520 | +| 60 | Binomial:Alt | CentralO | A001700 | 1 -3 10 -35 126 -462 1716 -6435 24310 -92378 352716 -1352078 5200300 -20058300 77558760 -300540195 | +| 61 | Binomial:Alt | BinConv | A126869 | 1 0 -2 0 6 0 -20 0 70 0 -252 0 924 0 -3432 0 12870 0 -48620 0 184756 0 -705432 0 2704156 0 | +| 62 | Binomial:Alt | InvBinConv | A000984 | 1 -2 6 -20 70 -252 924 -3432 12870 -48620 184756 -705432 2704156 -10400600 40116600 -155117520 | +| 63 | Binomial:Alt | TransNat0 | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 64 | Binomial:Alt | TransNat1 | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 65 | Binomial:Alt | TransSqrs | A130706 | 0 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 66 | Binomial:Alt | NegHalf | A000244 | 1 -3 9 -27 81 -243 729 -2187 6561 -19683 59049 -177147 531441 -1594323 4782969 -14348907 43046721 | +| 67 | Binomial:Alt | DiagRow1 | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 68 | Binomial:Alt | DiagRow2 | A025731 | 1 -3 6 -10 15 -21 28 -36 45 -55 66 -78 91 -105 120 -136 153 -171 190 -210 231 -253 276 -300 325 | +| 69 | Binomial:Alt | DiagRow3 | B000292 | 1 -4 10 -20 35 -56 84 -120 165 -220 286 -364 455 -560 680 -816 969 -1140 1330 -1540 1771 -2024 2300 | +| 70 | Binomial:Alt | DiagCol1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | +| 71 | Binomial:Alt | DiagCol2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 72 | Binomial:Alt | DiagCol3 | B000292 | -1 -4 -10 -20 -35 -56 -84 -120 -165 -220 -286 -364 -455 -560 -680 -816 -969 -1140 -1330 -1540 -1771 | +| 73 | Binomial:Alt | Poly | A362899 | 1 1 1 1 0 1 1 0 -1 1 1 0 1 -2 1 1 0 -1 4 -3 1 1 0 1 -8 9 -4 1 1 0 -1 16 -27 16 -5 1 1 0 1 -32 81 | +| 74 | Binomial:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | Binomial:Alt | PolyRow2 | A174902 | 1 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 | +| 76 | Binomial:Alt | PolyRow3 | A000578 | 1 0 -1 -8 -27 -64 -125 -216 -343 -512 -729 -1000 -1331 -1728 -2197 -2744 -3375 -4096 -4913 -5832 | +| 77 | Binomial:Alt | PolyCol3 | A000079 | 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 -524288 | +| 78 | Binomial:Alt | PolyDiag | A065440 | 1 0 1 -8 81 -1024 15625 -279936 5764801 -134217728 3486784401 -100000000000 3138428376721 | +| 79 | Binomial:Inv | Triangle | A007318 | 1 -1 1 1 -2 1 -1 3 -3 1 1 -4 6 -4 1 -1 5 -10 10 -5 1 1 -6 15 -20 15 -6 1 -1 7 -21 35 -35 21 -7 1 1 | +| 80 | Binomial:Inv | Rev | A007318 | 1 1 -1 1 -2 1 1 -3 3 -1 1 -4 6 -4 1 1 -5 10 -10 5 -1 1 -6 15 -20 15 -6 1 1 -7 21 -35 35 -21 7 -1 1 | +| 81 | Binomial:Inv | RevInv | A007318 | 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 | +| 82 | Binomial:Inv | InvRev | missing | 1 -1 1 -3 2 1 5 -3 -3 1 33 -20 -18 4 1 -91 55 50 -10 -5 1 -903 546 495 -100 -45 6 1 3485 -2107 | +| 83 | Binomial:Inv | Acc | A071919 | 1 -1 0 1 -1 0 -1 2 -1 0 1 -3 3 -1 0 -1 4 -6 4 -1 0 1 -5 10 -10 5 -1 0 -1 6 -15 20 -15 6 -1 0 1 -7 | +| 84 | Binomial:Inv | AccRev | A071919 | 1 1 0 1 -1 0 1 -2 1 0 1 -3 3 -1 0 1 -4 6 -4 1 0 1 -5 10 -10 5 -1 0 1 -6 15 -20 15 -6 1 0 1 -7 21 | +| 85 | Binomial:Inv | AntiDiag | A011973 | 1 -1 1 1 -1 -2 1 3 1 -1 -4 -3 1 5 6 1 -1 -6 -10 -4 1 7 15 10 1 -1 -8 -21 -20 -5 1 9 28 35 15 1 -1 | +| 86 | Binomial:Inv | Diffx1 | A103406 | 1 -1 2 1 -4 3 -1 6 -9 4 1 -8 18 -16 5 -1 10 -30 40 -25 6 1 -12 45 -80 75 -36 7 -1 14 -63 140 -175 | +| 87 | Binomial:Inv | EvenSum | A011782 | 1 -1 2 -4 8 -16 32 -64 128 -256 512 -1024 2048 -4096 8192 -16384 32768 -65536 131072 -262144 524288 | +| 88 | Binomial:Inv | OddSum | A131577 | 0 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 -524288 | +| 89 | Binomial:Inv | AltSum | A000079 | 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 -524288 | +| 90 | Binomial:Inv | DiagSum | A185357 | 1 -1 2 -3 5 -8 13 -21 34 -55 89 -144 233 -377 610 -987 1597 -2584 4181 -6765 10946 -17711 28657 | +| 91 | Binomial:Inv | AccSum | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 92 | Binomial:Inv | AccRevSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 93 | Binomial:Inv | RowLcm | A002944 | 1 1 2 3 12 10 60 105 280 252 2520 2310 27720 25740 24024 45045 720720 680680 12252240 11639628 | +| 94 | Binomial:Inv | RowGcd | A014963 | 1 1 2 3 2 5 1 7 2 3 1 11 1 13 1 1 2 17 1 19 1 1 1 23 1 5 1 3 1 29 1 31 | +| 95 | Binomial:Inv | RowMax | A001405 | 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 48620 92378 184756 352716 705432 | +| 96 | Binomial:Inv | ColMiddle | A001405 | 1 -1 -2 3 6 -10 -20 35 70 -126 -252 462 924 -1716 -3432 6435 12870 -24310 -48620 92378 184756 | +| 97 | Binomial:Inv | CentralE | A000984 | 1 -2 6 -20 70 -252 924 -3432 12870 -48620 184756 -705432 2704156 -10400600 40116600 -155117520 | +| 98 | Binomial:Inv | CentralO | A001700 | -1 3 -10 35 -126 462 -1716 6435 -24310 92378 -352716 1352078 -5200300 20058300 -77558760 300540195 | +| 99 | Binomial:Inv | BinConv | A126869 | 1 0 -2 0 6 0 -20 0 70 0 -252 0 924 0 -3432 0 12870 0 -48620 0 184756 0 -705432 0 2704156 0 | +| 100 | Binomial:Inv | InvBinConv | A000984 | 1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 40116600 155117520 601080390 | +| 101 | Binomial:Inv | TransNat0 | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 102 | Binomial:Inv | TransNat1 | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 103 | Binomial:Inv | TransSqrs | A130706 | 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 104 | Binomial:Inv | NegHalf | A000244 | 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721 129140163 | +| 105 | Binomial:Inv | DiagRow1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | +| 106 | Binomial:Inv | DiagRow2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 107 | Binomial:Inv | DiagRow3 | B000292 | -1 -4 -10 -20 -35 -56 -84 -120 -165 -220 -286 -364 -455 -560 -680 -816 -969 -1140 -1330 -1540 -1771 | +| 108 | Binomial:Inv | DiagCol1 | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 109 | Binomial:Inv | DiagCol2 | A025731 | 1 -3 6 -10 15 -21 28 -36 45 -55 66 -78 91 -105 120 -136 153 -171 190 -210 231 -253 276 -300 325 | +| 110 | Binomial:Inv | DiagCol3 | B000292 | 1 -4 10 -20 35 -56 84 -120 165 -220 286 -364 455 -560 680 -816 969 -1140 1330 -1540 1771 -2024 2300 | +| 111 | Binomial:Inv | Poly | A362899 | 1 -1 1 1 0 1 -1 0 1 1 1 0 1 2 1 -1 0 1 4 3 1 1 0 1 8 9 4 1 -1 0 1 16 27 16 5 1 1 0 1 32 81 64 25 6 | +| 112 | Binomial:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 113 | Binomial:Inv | PolyRow2 | A174902 | 1 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 | +| 114 | Binomial:Inv | PolyRow3 | A000578 | -1 0 1 8 27 64 125 216 343 512 729 1000 1331 1728 2197 2744 3375 4096 4913 5832 6859 8000 9261 | +| 115 | Binomial:Inv | PolyCol3 | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 116 | Binomial:Inv | PolyDiag | A065440 | 1 0 1 8 81 1024 15625 279936 5764801 134217728 3486784401 100000000000 3138428376721 | +| 117 | Binomial:Inv:Rev | Triangle | A007318 | 1 1 -1 1 -2 1 1 -3 3 -1 1 -4 6 -4 1 1 -5 10 -10 5 -1 1 -6 15 -20 15 -6 1 1 -7 21 -35 35 -21 7 -1 1 | +| 118 | Binomial:Inv:Rev | Rev | A007318 | 1 -1 1 1 -2 1 -1 3 -3 1 1 -4 6 -4 1 -1 5 -10 10 -5 1 1 -6 15 -20 15 -6 1 -1 7 -21 35 -35 21 -7 1 1 | +| 119 | Binomial:Inv:Rev | Inv | missing | 1 -1 1 -3 2 1 5 -3 -3 1 33 -20 -18 4 1 -91 55 50 -10 -5 1 -903 546 495 -100 -45 6 1 3485 -2107 | +| 120 | Binomial:Inv:Rev | RevInv | missing | 1 1 -1 1 2 -3 1 -3 -3 5 1 4 -18 -20 33 1 -5 -10 50 55 -91 1 6 -45 -100 495 546 -903 1 -7 -21 175 | +| 121 | Binomial:Inv:Rev | InvRev | A007318 | 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 | +| 122 | Binomial:Inv:Rev | Acc | A071919 | 1 1 0 1 -1 0 1 -2 1 0 1 -3 3 -1 0 1 -4 6 -4 1 0 1 -5 10 -10 5 -1 0 1 -6 15 -20 15 -6 1 0 1 -7 21 | +| 123 | Binomial:Inv:Rev | AccRev | A071919 | 1 -1 0 1 -1 0 -1 2 -1 0 1 -3 3 -1 0 -1 4 -6 4 -1 0 1 -5 10 -10 5 -1 0 -1 6 -15 20 -15 6 -1 0 1 -7 | +| 124 | Binomial:Inv:Rev | AntiDiag | A011973 | 1 1 1 -1 1 -2 1 -3 1 1 -4 3 1 -5 6 -1 1 -6 10 -4 1 -7 15 -10 1 1 -8 21 -20 5 1 -9 28 -35 15 -1 1 | +| 125 | Binomial:Inv:Rev | Diffx1 | A103406 | 1 1 -2 1 -4 3 1 -6 9 -4 1 -8 18 -16 5 1 -10 30 -40 25 -6 1 -12 45 -80 75 -36 7 1 -14 63 -140 175 | +| 126 | Binomial:Inv:Rev | EvenSum | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 127 | Binomial:Inv:Rev | OddSum | A131577 | 0 -1 -2 -4 -8 -16 -32 -64 -128 -256 -512 -1024 -2048 -4096 -8192 -16384 -32768 -65536 -131072 | +| 128 | Binomial:Inv:Rev | AltSum | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 129 | Binomial:Inv:Rev | DiagSum | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | +| 130 | Binomial:Inv:Rev | AccSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 131 | Binomial:Inv:Rev | AccRevSum | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 132 | Binomial:Inv:Rev | RowLcm | A002944 | 1 1 2 3 12 10 60 105 280 252 2520 2310 27720 25740 24024 45045 720720 680680 12252240 11639628 | +| 133 | Binomial:Inv:Rev | RowGcd | A014963 | 1 1 2 3 2 5 1 7 2 3 1 11 1 13 1 1 2 17 1 19 1 1 1 23 1 5 1 3 1 29 1 31 | +| 134 | Binomial:Inv:Rev | RowMax | A001405 | 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 48620 92378 184756 352716 705432 | +| 135 | Binomial:Inv:Rev | ColMiddle | A001405 | 1 1 -2 -3 6 10 -20 -35 70 126 -252 -462 924 1716 -3432 -6435 12870 24310 -48620 -92378 184756 | +| 136 | Binomial:Inv:Rev | CentralE | A000984 | 1 -2 6 -20 70 -252 924 -3432 12870 -48620 184756 -705432 2704156 -10400600 40116600 -155117520 | +| 137 | Binomial:Inv:Rev | CentralO | A001700 | 1 -3 10 -35 126 -462 1716 -6435 24310 -92378 352716 -1352078 5200300 -20058300 77558760 -300540195 | +| 138 | Binomial:Inv:Rev | BinConv | A126869 | 1 0 -2 0 6 0 -20 0 70 0 -252 0 924 0 -3432 0 12870 0 -48620 0 184756 0 -705432 0 2704156 0 | +| 139 | Binomial:Inv:Rev | InvBinConv | A000984 | 1 -2 6 -20 70 -252 924 -3432 12870 -48620 184756 -705432 2704156 -10400600 40116600 -155117520 | +| 140 | Binomial:Inv:Rev | TransNat0 | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 141 | Binomial:Inv:Rev | TransNat1 | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 142 | Binomial:Inv:Rev | TransSqrs | A130706 | 0 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 143 | Binomial:Inv:Rev | NegHalf | A000244 | 1 -3 9 -27 81 -243 729 -2187 6561 -19683 59049 -177147 531441 -1594323 4782969 -14348907 43046721 | +| 144 | Binomial:Inv:Rev | DiagRow1 | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 145 | Binomial:Inv:Rev | DiagRow2 | A025731 | 1 -3 6 -10 15 -21 28 -36 45 -55 66 -78 91 -105 120 -136 153 -171 190 -210 231 -253 276 -300 325 | +| 146 | Binomial:Inv:Rev | DiagRow3 | B000292 | 1 -4 10 -20 35 -56 84 -120 165 -220 286 -364 455 -560 680 -816 969 -1140 1330 -1540 1771 -2024 2300 | +| 147 | Binomial:Inv:Rev | DiagCol1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | +| 148 | Binomial:Inv:Rev | DiagCol2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 149 | Binomial:Inv:Rev | DiagCol3 | B000292 | -1 -4 -10 -20 -35 -56 -84 -120 -165 -220 -286 -364 -455 -560 -680 -816 -969 -1140 -1330 -1540 -1771 | +| 150 | Binomial:Inv:Rev | Poly | A362899 | 1 1 1 1 0 1 1 0 -1 1 1 0 1 -2 1 1 0 -1 4 -3 1 1 0 1 -8 9 -4 1 1 0 -1 16 -27 16 -5 1 1 0 1 -32 81 | +| 151 | Binomial:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 152 | Binomial:Inv:Rev | PolyRow2 | A174902 | 1 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 | +| 153 | Binomial:Inv:Rev | PolyRow3 | A000578 | 1 0 -1 -8 -27 -64 -125 -216 -343 -512 -729 -1000 -1331 -1728 -2197 -2744 -3375 -4096 -4913 -5832 | +| 154 | Binomial:Inv:Rev | PolyCol3 | A000079 | 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 -524288 | +| 155 | Binomial:Inv:Rev | PolyDiag | A065440 | 1 0 1 -8 81 -1024 15625 -279936 5764801 -134217728 3486784401 -100000000000 3138428376721 | \ No newline at end of file diff --git a/data/md/BinomialBell.md b/data/md/BinomialBell.md index eaa9862..2f95ffa 100644 --- a/data/md/BinomialBell.md +++ b/data/md/BinomialBell.md @@ -41,118 +41,159 @@ | 38 | BinomialBell:Std | PolyCol2 | missing | 1 2 6 20 74 302 1348 6526 34014 189656 1125190 7070054 46861680 326509770 2384118446 18194367204 | | 39 | BinomialBell:Std | PolyCol3 | missing | 1 3 12 51 231 1116 5745 31443 182442 1118817 7229511 49082358 349179615 2596648359 20139195468 | | 40 | BinomialBell:Std | PolyDiag | missing | 1 1 6 51 564 7700 125268 2367631 51009192 1234300275 33151229470 978796913270 31514578515720 | -| 41 | BinomialBell:Rev | Triangle | A292860 | 1 1 0 1 1 0 1 2 2 0 1 3 6 5 0 1 4 12 20 15 0 1 5 20 50 75 52 0 1 6 30 100 225 312 203 0 1 7 42 175 | -| 42 | BinomialBell:Rev | InvRev | missing | 1 0 1 0 -1 1 0 0 -2 1 0 1 0 -3 1 0 1 4 0 -4 1 0 -2 5 10 0 -5 1 0 -9 -12 15 20 0 -6 1 0 -9 -63 -42 | -| 43 | BinomialBell:Rev | Acc | missing | 1 1 1 1 2 2 1 3 5 5 1 4 10 15 15 1 5 17 37 52 52 1 6 26 76 151 203 203 1 7 37 137 362 674 877 877 1 | -| 44 | BinomialBell:Rev | AccRev | missing | 1 0 1 0 1 2 0 2 4 5 0 5 11 14 15 0 15 35 47 51 52 0 52 127 177 197 202 203 0 203 515 740 840 870 | -| 45 | BinomialBell:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 2 0 1 3 2 1 4 6 0 1 5 12 5 1 6 20 20 0 1 7 30 50 15 1 8 42 100 75 0 1 9 56 175 225 52 | -| 46 | BinomialBell:Rev | Diffx1 | missing | 1 1 0 1 2 0 1 4 6 0 1 6 18 20 0 1 8 36 80 75 0 1 10 60 200 375 312 0 1 12 90 400 1125 1872 1421 0 1 | -| 47 | BinomialBell:Rev | RowSum | A000110 | 1 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | -| 48 | BinomialBell:Rev | EvenSum | missing | 1 1 1 3 7 28 96 459 1989 10931 56275 348146 2057672 14112377 93633021 703484851 5156626991 | -| 49 | BinomialBell:Rev | OddSum | missing | 0 0 1 2 8 24 107 418 2151 10216 59700 330424 2155925 13532060 97266301 679473694 5323515156 | -| 50 | BinomialBell:Rev | AltSum | A000296 | 1 1 0 1 -1 4 -11 41 -162 715 -3425 17722 -98253 580317 -3633280 24011157 -166888165 1216070380 | -| 51 | BinomialBell:Rev | DiagSum | B303586 | 1 1 1 2 3 6 11 23 47 103 226 518 1200 2867 6946 17234 43393 111419 290242 768901 2065172 5630083 | -| 52 | BinomialBell:Rev | AccSum | missing | 1 2 5 14 45 164 666 2972 14419 75414 422273 2516890 15891464 105852038 741176325 5438507598 | -| 53 | BinomialBell:Rev | AccRevSum | missing | 1 1 3 11 45 200 958 4921 26981 157203 969427 6304520 43098894 308814517 2313212827 18071787667 | -| 54 | BinomialBell:Rev | RowLcm | missing | 1 1 1 2 30 60 3900 4750200 4860246300 2682855957600 1215736177186440 56398001259678951600 | -| 55 | BinomialBell:Rev | RowGcd | missing | 1 1 1 2 1 1 1 1 1 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 56 | BinomialBell:Rev | RowMax | missing | 1 1 1 2 6 20 75 312 1421 7016 37260 211470 1275725 8142840 54776761 387022118 2902665885 | -| 57 | BinomialBell:Rev | ColMiddle | missing | 1 1 1 2 6 12 50 100 525 1050 6552 13104 93786 187572 1504932 3009864 26640900 53281800 514083570 | -| 58 | BinomialBell:Rev | CentralE | A297926 | 1 1 6 50 525 6552 93786 1504932 26640900 514083570 10713538550 239342496120 5697111804566 | -| 59 | BinomialBell:Rev | CentralO | A124102 | 1 2 12 100 1050 13104 187572 3009864 53281800 1028167140 21427077100 478684992240 11394223609132 | -| 60 | BinomialBell:Rev | BinConv | missing | 1 1 3 13 69 416 2768 20021 155739 1292113 11359465 105267944 1023891025 10415352013 110466928549 | -| 61 | BinomialBell:Rev | InvBinConv | missing | 1 -1 -1 -1 5 24 84 167 -309 -5953 -43943 -241528 -994775 -1773357 21206665 343789651 3375289953 | -| 62 | BinomialBell:Rev | TransNat0 | B127741 | 0 0 1 6 30 148 755 4044 22841 136056 853452 5625950 38885297 281170080 2122313505 16688829122 | -| 63 | BinomialBell:Rev | TransNat1 | missing | 1 1 3 11 45 200 958 4921 26981 157203 969427 6304520 43098894 308814517 2313212827 18071787667 | -| 64 | BinomialBell:Rev | TransSqrs | missing | 0 0 1 10 72 472 3035 19734 131579 905720 6456564 47724980 365852817 2907417396 23934864525 | -| 65 | BinomialBell:Rev | PosHalf | missing | 1 2 6 20 74 302 1348 6526 34014 189656 1125190 7070054 46861680 326509770 2384118446 18194367204 | -| 66 | BinomialBell:Rev | NegHalf | missing | 1 -2 2 -4 6 -14 20 -62 42 -408 -614 -5622 -24200 -148106 -864422 -5537716 -36946882 -259882566 | -| 67 | BinomialBell:Rev | DiagRow1 | A000110 | 1 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | -| 68 | BinomialBell:Rev | DiagRow2 | B052889 | 1 2 6 20 75 312 1421 7016 37260 211470 1275725 8142840 54776761 387022118 2863489830 22127336720 | -| 69 | BinomialBell:Rev | DiagRow3 | B105479 | 1 3 12 50 225 1092 5684 31572 186300 1163085 7654350 52928460 383437327 2902665885 22907918640 | -| 70 | BinomialBell:Rev | DiagCol1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 71 | BinomialBell:Rev | DiagCol2 | A002378 | 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | -| 72 | BinomialBell:Rev | DiagCol3 | B134481 | 0 5 20 50 100 175 280 420 600 825 1100 1430 1820 2275 2800 3400 4080 4845 5700 6650 7700 8855 10120 | -| 73 | BinomialBell:Rev | Poly | A008550 | 1 1 1 1 1 1 1 2 1 1 1 5 3 1 1 1 15 13 4 1 1 1 52 71 25 5 1 1 1 203 457 199 41 6 1 1 1 877 3355 1876 | -| 74 | BinomialBell:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 75 | BinomialBell:Rev | PolyRow3 | A001844 | 1 5 13 25 41 61 85 113 145 181 221 265 313 365 421 481 545 613 685 761 841 925 1013 1105 1201 1301 | -| 76 | BinomialBell:Rev | PolyCol2 | A126390 | 1 1 3 13 71 457 3355 27509 248127 2434129 25741939 291397789 3510328695 44782460313 602513988107 | -| 77 | BinomialBell:Rev | PolyCol3 | A284859 | 1 1 4 25 199 1876 20257 245017 3266914 47450923 743935375 12497579698 223619318215 4240423494685 | -| 78 | BinomialBell:Rev | PolyDiag | missing | 1 1 3 25 429 12196 513103 29702569 2249734329 214970494555 25206446527291 3548791584709570 | -| 79 | BinomialBell:Inv | Triangle | missing | 1 0 1 0 -1 1 0 0 -2 1 0 1 0 -3 1 0 1 4 0 -4 1 0 -2 5 10 0 -5 1 0 -9 -12 15 20 0 -6 1 0 -9 -63 -42 | -| 80 | BinomialBell:Inv | Rev | missing | 1 1 0 1 -1 0 1 -2 0 0 1 -3 0 1 0 1 -4 0 4 1 0 1 -5 0 10 5 -2 0 1 -6 0 20 15 -12 -9 0 1 -7 0 35 35 | -| 81 | BinomialBell:Inv | RevInv | A292860 | 1 1 0 1 1 0 1 2 2 0 1 3 6 5 0 1 4 12 20 15 0 1 5 20 50 75 52 0 1 6 30 100 225 312 203 0 1 7 42 175 | -| 82 | BinomialBell:Inv | Acc | missing | 1 0 1 0 -1 0 0 0 -2 -1 0 1 1 -2 -1 0 1 5 5 1 2 0 -2 3 13 13 8 9 0 -9 -21 -6 14 14 8 9 0 -9 -72 -114 | -| 83 | BinomialBell:Inv | AccRev | missing | 1 1 1 1 0 0 1 -1 -1 -1 1 -2 -2 -1 -1 1 -3 -3 1 2 2 1 -4 -4 6 11 9 9 1 -5 -5 15 30 18 9 9 1 -6 -6 29 | -| 84 | BinomialBell:Inv | AntiDiag | missing | 1 0 0 1 0 -1 0 0 1 0 1 -2 0 1 0 1 0 -2 4 -3 0 -9 5 0 1 0 -9 -12 10 -4 0 50 -63 15 0 1 0 267 -72 -42 | -| 85 | BinomialBell:Inv | Diffx1 | missing | 1 0 2 0 -2 3 0 0 -6 4 0 2 0 -12 5 0 2 12 0 -20 6 0 -4 15 40 0 -30 7 0 -18 -36 60 100 0 -42 8 0 -18 | -| 86 | BinomialBell:Inv | RowSum | A000587 | 1 1 0 -1 -1 2 9 9 -50 -267 -413 2180 17731 50533 -110176 -1966797 -9938669 -8638718 278475061 | -| 87 | BinomialBell:Inv | EvenSum | missing | 1 0 1 -2 1 0 6 2 -27 -136 -179 1196 8966 24076 -62763 -1000990 -4896655 -3408640 143296146 | -| 88 | BinomialBell:Inv | OddSum | missing | 0 1 -1 1 -2 2 3 7 -23 -131 -234 984 8765 26457 -47413 -965807 -5042014 -5230078 135178915 | -| 89 | BinomialBell:Inv | AltSum | A109747 | 1 -1 2 -3 3 -2 3 -5 -4 -5 55 212 201 -2381 -15350 -35183 145359 1821438 8117231 521487 -278996548 | -| 90 | BinomialBell:Inv | DiagSum | missing | 1 0 1 -1 1 -1 2 -1 -3 -15 3 168 647 83 -11623 -63291 -86582 1144637 10116709 34190949 -103894395 | -| 91 | BinomialBell:Inv | AccSum | missing | 1 1 -1 -3 -1 14 44 9 -463 -2003 -1727 28110 188792 444157 -2199393 -27959491 -129516749 12160498 | -| 92 | BinomialBell:Inv | AccRevSum | missing | 1 2 1 -2 -5 0 28 72 -37 -934 -3229 230 59442 313838 436577 -5476058 -49379293 -176296140 410091916 | -| 93 | BinomialBell:Inv | RowLcm | missing | 1 1 1 2 3 4 10 180 630 25200 5046300 992439000 594967180500 18084622418478000 56572918670230162200 | -| 94 | BinomialBell:Inv | RowGcd | missing | 1 1 1 2 3 4 1 1 1 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 95 | BinomialBell:Inv | RowMax | missing | 1 1 1 2 3 4 10 20 63 252 756 2670 14685 58740 230503 1613521 8067605 32270420 267484392 1604906352 | -| 96 | BinomialBell:Inv | ColMiddle | missing | 1 0 -1 0 0 4 10 15 35 -112 -252 -1890 -4158 -7128 -15444 150150 321750 3054480 6490770 18072054 | -| 97 | BinomialBell:Inv | CentralE | missing | 1 -1 0 10 35 -252 -4158 -15444 321750 6490770 38152114 -768920880 -23973695018 -262786759900 | -| 98 | BinomialBell:Inv | CentralO | missing | 0 0 4 15 -112 -1890 -7128 150150 3054480 18072054 -366152800 -11465680226 -126137644752 | -| 99 | BinomialBell:Inv | BinConv | missing | 1 1 -1 -5 -7 26 234 869 167 -23969 -201773 -850794 861607 51253333 506377533 2648572783 -2108788043 | -| 100 | BinomialBell:Inv | InvBinConv | missing | 1 1 3 7 9 -14 -82 57 1207 175 -22325 -5378 548287 -248923 -16695975 34009827 568380149 -2734228778 | -| 101 | BinomialBell:Inv | TransNat0 | missing | 0 1 1 -1 -4 -2 19 63 13 -667 -2816 -1950 41711 263305 546753 -3509261 -39440624 -167657422 | -| 102 | BinomialBell:Inv | TransNat1 | missing | 1 2 1 -2 -5 0 28 72 -37 -934 -3229 230 59442 313838 436577 -5476058 -49379293 -176296140 410091916 | -| 103 | BinomialBell:Inv | TransSqrs | missing | 0 1 3 1 -10 -22 19 231 517 -963 -11222 -34240 44241 976609 4626647 2602817 -121581494 -957726110 | -| 104 | BinomialBell:Inv | PosHalf | A308645 | 1 1 -1 -3 3 41 87 -571 -5701 -14575 156655 2094925 9148851 -63364423 -1474212665 -11494853995 | -| 105 | BinomialBell:Inv | NegHalf | missing | 1 1 3 5 -1 -7 75 -99 -1241 10161 -18989 -332299 3857551 -14440151 -141168997 2807256333 | -| 106 | BinomialBell:Inv | DiagRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 107 | BinomialBell:Inv | DiagRow3 | A000292 | 0 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 | -| 108 | BinomialBell:Inv | DiagCol1 | A000587 | 1 -1 0 1 1 -2 -9 -9 50 267 413 -2180 -17731 -50533 110176 1966797 9938669 8638718 -278475061 | -| 109 | BinomialBell:Inv | DiagCol2 | missing | 1 -2 0 4 5 -12 -63 -72 450 2670 4543 -26160 -230503 -707462 1652640 31468752 168957373 155496924 | -| 110 | BinomialBell:Inv | DiagCol3 | missing | 1 -3 0 10 15 -42 -252 -324 2250 14685 27258 -170040 -1613521 -5305965 13221120 267484392 1520616357 | -| 111 | BinomialBell:Inv | Poly | missing | 1 0 1 0 1 1 0 0 2 1 0 -1 2 3 1 0 -1 0 6 4 1 0 2 -6 9 12 5 1 0 9 -14 3 32 20 6 1 0 9 0 -42 68 75 30 | -| 112 | BinomialBell:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 113 | BinomialBell:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | -| 114 | BinomialBell:Inv | PolyRow3 | B027620 | 0 -1 0 9 32 75 144 245 384 567 800 1089 1440 1859 2352 2925 3584 4335 5184 6137 7200 8379 9680 | -| 115 | BinomialBell:Inv | PolyCol2 | missing | 1 2 2 0 -6 -14 0 118 434 292 -5186 -31102 -65604 321418 3713242 15943744 -2599902 -574227558 | -| 116 | BinomialBell:Inv | PolyCol3 | missing | 1 3 6 9 3 -42 -177 -297 864 8655 31095 5100 -678939 -4605609 -12775890 51731085 853541631 | -| 117 | BinomialBell:Inv | PolyDiag | missing | 1 1 2 9 68 730 10104 170163 3361784 76016925 1932963670 54543053180 1690199821056 57038763304081 | -| 118 | BinomialBell:Inv:Rev | Triangle | missing | 1 1 0 1 -1 0 1 -2 0 0 1 -3 0 1 0 1 -4 0 4 1 0 1 -5 0 10 5 -2 0 1 -6 0 20 15 -12 -9 0 1 -7 0 35 35 | -| 119 | BinomialBell:Inv:Rev | Rev | missing | 1 0 1 0 -1 1 0 0 -2 1 0 1 0 -3 1 0 1 4 0 -4 1 0 -2 5 10 0 -5 1 0 -9 -12 15 20 0 -6 1 0 -9 -63 -42 | -| 120 | BinomialBell:Inv:Rev | InvRev | A067347 | 1 0 1 0 1 1 0 2 2 1 0 5 6 3 1 0 15 20 12 4 1 0 52 75 50 20 5 1 0 203 312 225 100 30 6 1 0 877 1421 | -| 121 | BinomialBell:Inv:Rev | Acc | missing | 1 1 1 1 0 0 1 -1 -1 -1 1 -2 -2 -1 -1 1 -3 -3 1 2 2 1 -4 -4 6 11 9 9 1 -5 -5 15 30 18 9 9 1 -6 -6 29 | -| 122 | BinomialBell:Inv:Rev | AccRev | missing | 1 0 1 0 -1 0 0 0 -2 -1 0 1 1 -2 -1 0 1 5 5 1 2 0 -2 3 13 13 8 9 0 -9 -21 -6 14 14 8 9 0 -9 -72 -114 | -| 123 | BinomialBell:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -1 1 -2 0 1 -3 0 1 -4 0 0 1 -5 0 1 1 -6 0 4 0 1 -7 0 10 1 1 -8 0 20 5 0 1 -9 0 35 15 -2 1 | -| 124 | BinomialBell:Inv:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 -4 0 0 1 -6 0 4 0 1 -8 0 16 5 0 1 -10 0 40 25 -12 0 1 -12 0 80 75 -72 -63 0 1 -14 0 | -| 125 | BinomialBell:Inv:Rev | RowSum | A000587 | 1 1 0 -1 -1 2 9 9 -50 -267 -413 2180 17731 50533 -110176 -1966797 -9938669 -8638718 278475061 | -| 126 | BinomialBell:Inv:Rev | EvenSum | missing | 1 1 1 1 1 2 6 7 -27 -131 -179 984 8966 26457 -62763 -965807 -4896655 -5230078 143296146 1270217511 | -| 127 | BinomialBell:Inv:Rev | OddSum | missing | 0 0 -1 -2 -2 0 3 2 -23 -136 -234 1196 8765 24076 -47413 -1000990 -5042014 -3408640 135178915 | -| 128 | BinomialBell:Inv:Rev | AltSum | A109747 | 1 1 2 3 3 2 3 5 -4 5 55 -212 201 2381 -15350 35183 145359 -1821438 8117231 -521487 -278996548 | -| 129 | BinomialBell:Inv:Rev | DiagSum | missing | 1 1 1 0 -1 -2 -3 -3 -1 5 18 40 70 93 60 -150 -795 -2321 -5308 -9903 -13748 -6147 46141 227779 | -| 130 | BinomialBell:Inv:Rev | AccSum | missing | 1 2 1 -2 -5 0 28 72 -37 -934 -3229 230 59442 313838 436577 -5476058 -49379293 -176296140 410091916 | -| 131 | BinomialBell:Inv:Rev | AccRevSum | missing | 1 1 -1 -3 -1 14 44 9 -463 -2003 -1727 28110 188792 444157 -2199393 -27959491 -129516749 12160498 | -| 132 | BinomialBell:Inv:Rev | RowLcm | missing | 1 1 1 2 3 4 10 180 630 25200 5046300 992439000 594967180500 18084622418478000 56572918670230162200 | -| 133 | BinomialBell:Inv:Rev | RowGcd | missing | 1 1 1 2 3 4 1 1 1 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 134 | BinomialBell:Inv:Rev | RowMax | missing | 1 1 1 2 3 4 10 20 63 252 756 2670 14685 58740 230503 1613521 8067605 32270420 267484392 1604906352 | -| 135 | BinomialBell:Inv:Rev | ColMiddle | missing | 1 1 -1 -2 0 0 10 20 35 70 -252 -504 -4158 -8316 -15444 -30888 321750 643500 6490770 12981540 | -| 136 | BinomialBell:Inv:Rev | CentralE | missing | 1 -1 0 10 35 -252 -4158 -15444 321750 6490770 38152114 -768920880 -23973695018 -262786759900 | -| 137 | BinomialBell:Inv:Rev | CentralO | missing | 1 -2 0 20 70 -504 -8316 -30888 643500 12981540 76304228 -1537841760 -47947390036 -525573519800 | -| 138 | BinomialBell:Inv:Rev | BinConv | missing | 1 1 -1 -5 -7 26 234 869 167 -23969 -201773 -850794 861607 51253333 506377533 2648572783 -2108788043 | -| 139 | BinomialBell:Inv:Rev | InvBinConv | missing | 1 -1 3 -7 9 14 -82 -57 1207 -175 -22325 5378 548287 248923 -16695975 -34009827 568380149 2734228778 | -| 140 | BinomialBell:Inv:Rev | TransNat0 | missing | 0 0 -1 -2 0 12 35 0 -413 -1736 -1314 25930 171061 393624 -2089217 -25992694 -119578080 20799216 | -| 141 | BinomialBell:Inv:Rev | TransNat1 | missing | 1 1 -1 -3 -1 14 44 9 -463 -2003 -1727 28110 188792 444157 -2199393 -27959491 -129516749 12160498 | -| 142 | BinomialBell:Inv:Rev | TransSqrs | missing | 0 0 -1 -2 6 48 115 -210 -2891 -10584 3798 272440 1596441 2670756 -32276933 -334648678 -1403780790 | -| 143 | BinomialBell:Inv:Rev | PosHalf | missing | 1 2 2 0 -6 -14 0 118 434 292 -5186 -31102 -65604 321418 3713242 15943744 -2599902 -574227558 | -| 144 | BinomialBell:Inv:Rev | NegHalf | missing | 1 -2 6 -16 38 -82 168 -342 694 -1380 2770 -5650 10876 -22154 49070 -67440 205246 -701210 -2240456 | -| 145 | BinomialBell:Inv:Rev | DiagRow1 | A000587 | 1 -1 0 1 1 -2 -9 -9 50 267 413 -2180 -17731 -50533 110176 1966797 9938669 8638718 -278475061 | -| 146 | BinomialBell:Inv:Rev | DiagRow2 | missing | 1 -2 0 4 5 -12 -63 -72 450 2670 4543 -26160 -230503 -707462 1652640 31468752 168957373 155496924 | -| 147 | BinomialBell:Inv:Rev | DiagRow3 | missing | 1 -3 0 10 15 -42 -252 -324 2250 14685 27258 -170040 -1613521 -5305965 13221120 267484392 1520616357 | -| 148 | BinomialBell:Inv:Rev | DiagCol1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 149 | BinomialBell:Inv:Rev | DiagCol3 | A000292 | 0 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 | -| 150 | BinomialBell:Inv:Rev | Poly | A053864 | 1 1 1 1 1 1 1 0 1 1 1 -1 -1 1 1 1 -1 -3 -2 1 1 1 2 3 -5 -3 1 1 1 9 41 19 -7 -4 1 1 1 9 87 178 53 -9 | -| 151 | BinomialBell:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 152 | BinomialBell:Inv:Rev | PolyRow3 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | -| 153 | BinomialBell:Inv:Rev | PolyCol2 | A308645 | 1 1 -1 -3 3 41 87 -571 -5701 -14575 156655 2094925 9148851 -63364423 -1474212665 -11494853995 | -| 154 | BinomialBell:Inv:Rev | PolyCol3 | A284860 | 1 1 -2 -5 19 178 175 -7739 -72056 -33179 6899311 87861076 215532301 -11151014291 -222077806202 | -| 155 | BinomialBell:Inv:Rev | PolyDiag | missing | 1 1 -1 -5 53 1106 -6941 -1217691 -36604471 1667925685 307980143911 17465711846980 -1259267997953219 | \ No newline at end of file +| 41 | BinomialBell:Alt | Triangle | A067347 | 1 0 -1 0 -1 1 0 -2 2 -1 0 -5 6 -3 1 0 -15 20 -12 4 -1 0 -52 75 -50 20 -5 1 0 -203 312 -225 100 -30 | +| 42 | BinomialBell:Alt | Rev | A292860 | 1 -1 0 1 -1 0 -1 2 -2 0 1 -3 6 -5 0 -1 4 -12 20 -15 0 1 -5 20 -50 75 -52 0 -1 6 -30 100 -225 312 | +| 43 | BinomialBell:Alt | Inv | missing | 1 0 1 0 1 1 0 0 -2 1 0 -1 -12 3 1 0 -1 4 0 -4 1 0 -8 85 -10 -40 5 1 0 9 48 -15 20 0 -6 1 0 205 161 | +| 44 | BinomialBell:Alt | RevInv | missing | 1 1 0 1 1 0 1 -2 0 0 1 3 -12 -1 0 1 -4 0 4 -1 0 1 5 -40 -10 85 -8 0 1 -6 0 20 -15 48 9 0 1 7 -84 | +| 45 | BinomialBell:Alt | Acc | missing | 1 0 -1 0 -1 0 0 -2 0 -1 0 -5 1 -2 -1 0 -15 5 -7 -3 -4 0 -52 23 -27 -7 -12 -11 0 -203 109 -116 -16 | +| 46 | BinomialBell:Alt | AccRev | missing | 1 -1 -1 1 0 0 -1 1 -1 -1 1 -2 4 -1 -1 -1 3 -9 11 -4 -4 1 -4 16 -34 41 -11 -11 -1 5 -25 75 -150 162 | +| 47 | BinomialBell:Alt | AntiDiag | missing | 1 0 0 -1 0 -1 0 -2 1 0 -5 2 0 -15 6 -1 0 -52 20 -3 0 -203 75 -12 1 0 -877 312 -50 4 0 -4140 1421 | +| 48 | BinomialBell:Alt | Diffx1 | missing | 1 0 -2 0 -2 3 0 -4 6 -4 0 -10 18 -12 5 0 -30 60 -48 20 -6 0 -104 225 -200 100 -30 7 0 -406 936 -900 | +| 49 | BinomialBell:Alt | RowSum | A000296 | 1 -1 0 -1 -1 -4 -11 -41 -162 -715 -3425 -17722 -98253 -580317 -3633280 -24011157 -166888165 | +| 50 | BinomialBell:Alt | EvenSum | B102286 | 1 0 1 2 7 24 96 418 1989 10216 56275 330424 2057672 13532060 93633021 679473694 5156626991 | +| 51 | BinomialBell:Alt | OddSum | A224271 | 0 -1 -1 -3 -8 -28 -107 -459 -2151 -10931 -59700 -348146 -2155925 -14112377 -97266301 -703484851 | +| 52 | BinomialBell:Alt | AltSum | A000110 | 1 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | +| 53 | BinomialBell:Alt | DiagSum | B184175 | 1 0 -1 -1 -1 -3 -10 -35 -139 -611 -2925 -15128 -83903 -495929 -3108129 -20565721 -143134606 | +| 54 | BinomialBell:Alt | AccSum | missing | 1 -1 -1 -3 -7 -24 -86 -353 -1583 -7731 -40685 -229192 -1373978 -8723157 -58410041 -411033275 | +| 55 | BinomialBell:Alt | AccRevSum | missing | 1 -2 1 -2 1 -4 -2 -16 -37 -134 -415 -1194 -1564 18402 277561 2843606 26391025 238069880 2145052926 | +| 56 | BinomialBell:Alt | RowLcm | missing | 1 1 1 2 30 60 3900 4750200 4860246300 2682855957600 1215736177186440 56398001259678951600 | +| 57 | BinomialBell:Alt | RowGcd | missing | 1 1 1 2 1 1 1 1 1 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 58 | BinomialBell:Alt | RowMax | missing | 1 1 1 2 6 20 75 312 1421 7016 37260 211470 1275725 8142840 54776761 387022118 2902665885 | +| 59 | BinomialBell:Alt | ColMiddle | missing | 1 0 -1 -2 6 20 -50 -225 525 2912 -6552 -42630 93786 694584 -1504932 -12432420 26640900 241921680 | +| 60 | BinomialBell:Alt | CentralE | A297926 | 1 -1 6 -50 525 -6552 93786 -1504932 26640900 -514083570 10713538550 -239342496120 5697111804566 | +| 61 | BinomialBell:Alt | CentralO | missing | 0 -2 20 -225 2912 -42630 694584 -12432420 241921680 -5074834050 113972617200 -2724705645662 | +| 62 | BinomialBell:Alt | BinConv | missing | 1 -1 -1 -1 5 24 84 167 -309 -5953 -43943 -241528 -994775 -1773357 21206665 343789651 3375289953 | +| 63 | BinomialBell:Alt | InvBinConv | missing | 1 -1 3 -13 69 -416 2768 -20021 155739 -1292113 11359465 -105267944 1023891025 -10415352013 | +| 64 | BinomialBell:Alt | TransNat0 | missing | 0 -1 1 -1 2 0 9 25 125 581 3010 16528 96689 598719 3910841 26854763 193279190 1454140260 | +| 65 | BinomialBell:Alt | TransNat1 | missing | 1 -2 1 -2 1 -4 -2 -16 -37 -134 -415 -1194 -1564 18402 277561 2843606 26391025 238069880 2145052926 | +| 66 | BinomialBell:Alt | TransSqrs | missing | 0 -1 3 -3 8 -4 29 37 237 877 4216 20678 109823 617487 3671615 22968909 150625100 1031883860 | +| 67 | BinomialBell:Alt | PosHalf | A124311 | 1 -1 -1 -5 -21 -121 -793 -5917 -49101 -447153 -4421105 -47062773 -535732805 -6484924585 | +| 68 | BinomialBell:Alt | NegHalf | A126390 | 1 -1 3 -13 71 -457 3355 -27509 248127 -2434129 25741939 -291397789 3510328695 -44782460313 | +| 69 | BinomialBell:Alt | DiagRow1 | A001477 | 0 -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 16 -17 18 -19 20 -21 22 -23 24 -25 26 -27 28 -29 30 | +| 70 | BinomialBell:Alt | DiagRow2 | A002378 | 0 -2 6 -12 20 -30 42 -56 72 -90 110 -132 156 -182 210 -240 272 -306 342 -380 420 -462 506 -552 600 | +| 71 | BinomialBell:Alt | DiagRow3 | B134481 | 0 -5 20 -50 100 -175 280 -420 600 -825 1100 -1430 1820 -2275 2800 -3400 4080 -4845 5700 -6650 7700 | +| 72 | BinomialBell:Alt | DiagCol1 | A000110 | -1 -1 -2 -5 -15 -52 -203 -877 -4140 -21147 -115975 -678570 -4213597 -27644437 -190899322 | +| 73 | BinomialBell:Alt | DiagCol2 | B052889 | 1 2 6 20 75 312 1421 7016 37260 211470 1275725 8142840 54776761 387022118 2863489830 22127336720 | +| 74 | BinomialBell:Alt | DiagCol3 | B105479 | -1 -3 -12 -50 -225 -1092 -5684 -31572 -186300 -1163085 -7654350 -52928460 -383437327 -2902665885 | +| 75 | BinomialBell:Alt | Poly | missing | 1 0 1 0 -1 1 0 0 -2 1 0 -1 2 -3 1 0 -1 -4 6 -4 1 0 -4 6 -15 12 -5 1 0 -11 -14 39 -40 20 -6 1 0 -41 | +| 76 | BinomialBell:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 77 | BinomialBell:Alt | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 78 | BinomialBell:Alt | PolyRow3 | A053698 | 0 -1 -4 -15 -40 -85 -156 -259 -400 -585 -820 -1111 -1464 -1885 -2380 -2955 -3616 -4369 -5220 -6175 | +| 79 | BinomialBell:Alt | PolyCol2 | missing | 1 -2 2 -4 6 -14 20 -62 42 -408 -614 -5622 -24200 -148106 -864422 -5537716 -36946882 -259882566 | +| 80 | BinomialBell:Alt | PolyCol3 | missing | 1 -3 6 -15 39 -108 303 -879 2544 -7569 22095 -67206 193185 -615855 1625406 -6172851 10211979 | +| 81 | BinomialBell:Alt | PolyDiag | missing | 1 -1 2 -15 140 -1700 25284 -445067 9048024 -208597923 5377262530 -153255879942 4785045223320 | +| 82 | BinomialBell:Rev | Triangle | A292860 | 1 1 0 1 1 0 1 2 2 0 1 3 6 5 0 1 4 12 20 15 0 1 5 20 50 75 52 0 1 6 30 100 225 312 203 0 1 7 42 175 | +| 83 | BinomialBell:Rev | InvRev | missing | 1 0 1 0 -1 1 0 0 -2 1 0 1 0 -3 1 0 1 4 0 -4 1 0 -2 5 10 0 -5 1 0 -9 -12 15 20 0 -6 1 0 -9 -63 -42 | +| 84 | BinomialBell:Rev | Acc | missing | 1 1 1 1 2 2 1 3 5 5 1 4 10 15 15 1 5 17 37 52 52 1 6 26 76 151 203 203 1 7 37 137 362 674 877 877 1 | +| 85 | BinomialBell:Rev | AccRev | missing | 1 0 1 0 1 2 0 2 4 5 0 5 11 14 15 0 15 35 47 51 52 0 52 127 177 197 202 203 0 203 515 740 840 870 | +| 86 | BinomialBell:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 2 0 1 3 2 1 4 6 0 1 5 12 5 1 6 20 20 0 1 7 30 50 15 1 8 42 100 75 0 1 9 56 175 225 52 | +| 87 | BinomialBell:Rev | Diffx1 | missing | 1 1 0 1 2 0 1 4 6 0 1 6 18 20 0 1 8 36 80 75 0 1 10 60 200 375 312 0 1 12 90 400 1125 1872 1421 0 1 | +| 88 | BinomialBell:Rev | RowSum | A000110 | 1 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | +| 89 | BinomialBell:Rev | EvenSum | missing | 1 1 1 3 7 28 96 459 1989 10931 56275 348146 2057672 14112377 93633021 703484851 5156626991 | +| 90 | BinomialBell:Rev | OddSum | missing | 0 0 1 2 8 24 107 418 2151 10216 59700 330424 2155925 13532060 97266301 679473694 5323515156 | +| 91 | BinomialBell:Rev | AltSum | A000296 | 1 1 0 1 -1 4 -11 41 -162 715 -3425 17722 -98253 580317 -3633280 24011157 -166888165 1216070380 | +| 92 | BinomialBell:Rev | DiagSum | B303586 | 1 1 1 2 3 6 11 23 47 103 226 518 1200 2867 6946 17234 43393 111419 290242 768901 2065172 5630083 | +| 93 | BinomialBell:Rev | AccSum | missing | 1 2 5 14 45 164 666 2972 14419 75414 422273 2516890 15891464 105852038 741176325 5438507598 | +| 94 | BinomialBell:Rev | AccRevSum | missing | 1 1 3 11 45 200 958 4921 26981 157203 969427 6304520 43098894 308814517 2313212827 18071787667 | +| 95 | BinomialBell:Rev | RowLcm | missing | 1 1 1 2 30 60 3900 4750200 4860246300 2682855957600 1215736177186440 56398001259678951600 | +| 96 | BinomialBell:Rev | RowGcd | missing | 1 1 1 2 1 1 1 1 1 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 97 | BinomialBell:Rev | RowMax | missing | 1 1 1 2 6 20 75 312 1421 7016 37260 211470 1275725 8142840 54776761 387022118 2902665885 | +| 98 | BinomialBell:Rev | ColMiddle | missing | 1 1 1 2 6 12 50 100 525 1050 6552 13104 93786 187572 1504932 3009864 26640900 53281800 514083570 | +| 99 | BinomialBell:Rev | CentralE | A297926 | 1 1 6 50 525 6552 93786 1504932 26640900 514083570 10713538550 239342496120 5697111804566 | +| 100 | BinomialBell:Rev | CentralO | A124102 | 1 2 12 100 1050 13104 187572 3009864 53281800 1028167140 21427077100 478684992240 11394223609132 | +| 101 | BinomialBell:Rev | BinConv | missing | 1 1 3 13 69 416 2768 20021 155739 1292113 11359465 105267944 1023891025 10415352013 110466928549 | +| 102 | BinomialBell:Rev | InvBinConv | missing | 1 -1 -1 -1 5 24 84 167 -309 -5953 -43943 -241528 -994775 -1773357 21206665 343789651 3375289953 | +| 103 | BinomialBell:Rev | TransNat0 | B127741 | 0 0 1 6 30 148 755 4044 22841 136056 853452 5625950 38885297 281170080 2122313505 16688829122 | +| 104 | BinomialBell:Rev | TransNat1 | missing | 1 1 3 11 45 200 958 4921 26981 157203 969427 6304520 43098894 308814517 2313212827 18071787667 | +| 105 | BinomialBell:Rev | TransSqrs | missing | 0 0 1 10 72 472 3035 19734 131579 905720 6456564 47724980 365852817 2907417396 23934864525 | +| 106 | BinomialBell:Rev | PosHalf | missing | 1 2 6 20 74 302 1348 6526 34014 189656 1125190 7070054 46861680 326509770 2384118446 18194367204 | +| 107 | BinomialBell:Rev | NegHalf | missing | 1 -2 2 -4 6 -14 20 -62 42 -408 -614 -5622 -24200 -148106 -864422 -5537716 -36946882 -259882566 | +| 108 | BinomialBell:Rev | DiagRow1 | A000110 | 1 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | +| 109 | BinomialBell:Rev | DiagRow2 | B052889 | 1 2 6 20 75 312 1421 7016 37260 211470 1275725 8142840 54776761 387022118 2863489830 22127336720 | +| 110 | BinomialBell:Rev | DiagRow3 | B105479 | 1 3 12 50 225 1092 5684 31572 186300 1163085 7654350 52928460 383437327 2902665885 22907918640 | +| 111 | BinomialBell:Rev | DiagCol1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 112 | BinomialBell:Rev | DiagCol2 | A002378 | 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | +| 113 | BinomialBell:Rev | DiagCol3 | B134481 | 0 5 20 50 100 175 280 420 600 825 1100 1430 1820 2275 2800 3400 4080 4845 5700 6650 7700 8855 10120 | +| 114 | BinomialBell:Rev | Poly | A008550 | 1 1 1 1 1 1 1 2 1 1 1 5 3 1 1 1 15 13 4 1 1 1 52 71 25 5 1 1 1 203 457 199 41 6 1 1 1 877 3355 1876 | +| 115 | BinomialBell:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 116 | BinomialBell:Rev | PolyRow3 | A001844 | 1 5 13 25 41 61 85 113 145 181 221 265 313 365 421 481 545 613 685 761 841 925 1013 1105 1201 1301 | +| 117 | BinomialBell:Rev | PolyCol2 | A126390 | 1 1 3 13 71 457 3355 27509 248127 2434129 25741939 291397789 3510328695 44782460313 602513988107 | +| 118 | BinomialBell:Rev | PolyCol3 | A284859 | 1 1 4 25 199 1876 20257 245017 3266914 47450923 743935375 12497579698 223619318215 4240423494685 | +| 119 | BinomialBell:Rev | PolyDiag | missing | 1 1 3 25 429 12196 513103 29702569 2249734329 214970494555 25206446527291 3548791584709570 | +| 120 | BinomialBell:Inv | Triangle | missing | 1 0 1 0 -1 1 0 0 -2 1 0 1 0 -3 1 0 1 4 0 -4 1 0 -2 5 10 0 -5 1 0 -9 -12 15 20 0 -6 1 0 -9 -63 -42 | +| 121 | BinomialBell:Inv | Rev | missing | 1 1 0 1 -1 0 1 -2 0 0 1 -3 0 1 0 1 -4 0 4 1 0 1 -5 0 10 5 -2 0 1 -6 0 20 15 -12 -9 0 1 -7 0 35 35 | +| 122 | BinomialBell:Inv | RevInv | A292860 | 1 1 0 1 1 0 1 2 2 0 1 3 6 5 0 1 4 12 20 15 0 1 5 20 50 75 52 0 1 6 30 100 225 312 203 0 1 7 42 175 | +| 123 | BinomialBell:Inv | Acc | missing | 1 0 1 0 -1 0 0 0 -2 -1 0 1 1 -2 -1 0 1 5 5 1 2 0 -2 3 13 13 8 9 0 -9 -21 -6 14 14 8 9 0 -9 -72 -114 | +| 124 | BinomialBell:Inv | AccRev | missing | 1 1 1 1 0 0 1 -1 -1 -1 1 -2 -2 -1 -1 1 -3 -3 1 2 2 1 -4 -4 6 11 9 9 1 -5 -5 15 30 18 9 9 1 -6 -6 29 | +| 125 | BinomialBell:Inv | AntiDiag | missing | 1 0 0 1 0 -1 0 0 1 0 1 -2 0 1 0 1 0 -2 4 -3 0 -9 5 0 1 0 -9 -12 10 -4 0 50 -63 15 0 1 0 267 -72 -42 | +| 126 | BinomialBell:Inv | Diffx1 | missing | 1 0 2 0 -2 3 0 0 -6 4 0 2 0 -12 5 0 2 12 0 -20 6 0 -4 15 40 0 -30 7 0 -18 -36 60 100 0 -42 8 0 -18 | +| 127 | BinomialBell:Inv | RowSum | A000587 | 1 1 0 -1 -1 2 9 9 -50 -267 -413 2180 17731 50533 -110176 -1966797 -9938669 -8638718 278475061 | +| 128 | BinomialBell:Inv | EvenSum | missing | 1 0 1 -2 1 0 6 2 -27 -136 -179 1196 8966 24076 -62763 -1000990 -4896655 -3408640 143296146 | +| 129 | BinomialBell:Inv | OddSum | missing | 0 1 -1 1 -2 2 3 7 -23 -131 -234 984 8765 26457 -47413 -965807 -5042014 -5230078 135178915 | +| 130 | BinomialBell:Inv | AltSum | A109747 | 1 -1 2 -3 3 -2 3 -5 -4 -5 55 212 201 -2381 -15350 -35183 145359 1821438 8117231 521487 -278996548 | +| 131 | BinomialBell:Inv | DiagSum | missing | 1 0 1 -1 1 -1 2 -1 -3 -15 3 168 647 83 -11623 -63291 -86582 1144637 10116709 34190949 -103894395 | +| 132 | BinomialBell:Inv | AccSum | missing | 1 1 -1 -3 -1 14 44 9 -463 -2003 -1727 28110 188792 444157 -2199393 -27959491 -129516749 12160498 | +| 133 | BinomialBell:Inv | AccRevSum | missing | 1 2 1 -2 -5 0 28 72 -37 -934 -3229 230 59442 313838 436577 -5476058 -49379293 -176296140 410091916 | +| 134 | BinomialBell:Inv | RowLcm | missing | 1 1 1 2 3 4 10 180 630 25200 5046300 992439000 594967180500 18084622418478000 56572918670230162200 | +| 135 | BinomialBell:Inv | RowGcd | missing | 1 1 1 2 3 4 1 1 1 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 136 | BinomialBell:Inv | RowMax | missing | 1 1 1 2 3 4 10 20 63 252 756 2670 14685 58740 230503 1613521 8067605 32270420 267484392 1604906352 | +| 137 | BinomialBell:Inv | ColMiddle | missing | 1 0 -1 0 0 4 10 15 35 -112 -252 -1890 -4158 -7128 -15444 150150 321750 3054480 6490770 18072054 | +| 138 | BinomialBell:Inv | CentralE | missing | 1 -1 0 10 35 -252 -4158 -15444 321750 6490770 38152114 -768920880 -23973695018 -262786759900 | +| 139 | BinomialBell:Inv | CentralO | missing | 0 0 4 15 -112 -1890 -7128 150150 3054480 18072054 -366152800 -11465680226 -126137644752 | +| 140 | BinomialBell:Inv | BinConv | missing | 1 1 -1 -5 -7 26 234 869 167 -23969 -201773 -850794 861607 51253333 506377533 2648572783 -2108788043 | +| 141 | BinomialBell:Inv | InvBinConv | missing | 1 1 3 7 9 -14 -82 57 1207 175 -22325 -5378 548287 -248923 -16695975 34009827 568380149 -2734228778 | +| 142 | BinomialBell:Inv | TransNat0 | missing | 0 1 1 -1 -4 -2 19 63 13 -667 -2816 -1950 41711 263305 546753 -3509261 -39440624 -167657422 | +| 143 | BinomialBell:Inv | TransNat1 | missing | 1 2 1 -2 -5 0 28 72 -37 -934 -3229 230 59442 313838 436577 -5476058 -49379293 -176296140 410091916 | +| 144 | BinomialBell:Inv | TransSqrs | missing | 0 1 3 1 -10 -22 19 231 517 -963 -11222 -34240 44241 976609 4626647 2602817 -121581494 -957726110 | +| 145 | BinomialBell:Inv | PosHalf | A308645 | 1 1 -1 -3 3 41 87 -571 -5701 -14575 156655 2094925 9148851 -63364423 -1474212665 -11494853995 | +| 146 | BinomialBell:Inv | NegHalf | missing | 1 1 3 5 -1 -7 75 -99 -1241 10161 -18989 -332299 3857551 -14440151 -141168997 2807256333 | +| 147 | BinomialBell:Inv | DiagRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 148 | BinomialBell:Inv | DiagRow3 | A000292 | 0 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 | +| 149 | BinomialBell:Inv | DiagCol1 | A000587 | 1 -1 0 1 1 -2 -9 -9 50 267 413 -2180 -17731 -50533 110176 1966797 9938669 8638718 -278475061 | +| 150 | BinomialBell:Inv | DiagCol2 | missing | 1 -2 0 4 5 -12 -63 -72 450 2670 4543 -26160 -230503 -707462 1652640 31468752 168957373 155496924 | +| 151 | BinomialBell:Inv | DiagCol3 | missing | 1 -3 0 10 15 -42 -252 -324 2250 14685 27258 -170040 -1613521 -5305965 13221120 267484392 1520616357 | +| 152 | BinomialBell:Inv | Poly | missing | 1 0 1 0 1 1 0 0 2 1 0 -1 2 3 1 0 -1 0 6 4 1 0 2 -6 9 12 5 1 0 9 -14 3 32 20 6 1 0 9 0 -42 68 75 30 | +| 153 | BinomialBell:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 154 | BinomialBell:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 155 | BinomialBell:Inv | PolyRow3 | B027620 | 0 -1 0 9 32 75 144 245 384 567 800 1089 1440 1859 2352 2925 3584 4335 5184 6137 7200 8379 9680 | +| 156 | BinomialBell:Inv | PolyCol2 | missing | 1 2 2 0 -6 -14 0 118 434 292 -5186 -31102 -65604 321418 3713242 15943744 -2599902 -574227558 | +| 157 | BinomialBell:Inv | PolyCol3 | missing | 1 3 6 9 3 -42 -177 -297 864 8655 31095 5100 -678939 -4605609 -12775890 51731085 853541631 | +| 158 | BinomialBell:Inv | PolyDiag | missing | 1 1 2 9 68 730 10104 170163 3361784 76016925 1932963670 54543053180 1690199821056 57038763304081 | +| 159 | BinomialBell:Inv:Rev | Triangle | missing | 1 1 0 1 -1 0 1 -2 0 0 1 -3 0 1 0 1 -4 0 4 1 0 1 -5 0 10 5 -2 0 1 -6 0 20 15 -12 -9 0 1 -7 0 35 35 | +| 160 | BinomialBell:Inv:Rev | Rev | missing | 1 0 1 0 -1 1 0 0 -2 1 0 1 0 -3 1 0 1 4 0 -4 1 0 -2 5 10 0 -5 1 0 -9 -12 15 20 0 -6 1 0 -9 -63 -42 | +| 161 | BinomialBell:Inv:Rev | InvRev | A067347 | 1 0 1 0 1 1 0 2 2 1 0 5 6 3 1 0 15 20 12 4 1 0 52 75 50 20 5 1 0 203 312 225 100 30 6 1 0 877 1421 | +| 162 | BinomialBell:Inv:Rev | Acc | missing | 1 1 1 1 0 0 1 -1 -1 -1 1 -2 -2 -1 -1 1 -3 -3 1 2 2 1 -4 -4 6 11 9 9 1 -5 -5 15 30 18 9 9 1 -6 -6 29 | +| 163 | BinomialBell:Inv:Rev | AccRev | missing | 1 0 1 0 -1 0 0 0 -2 -1 0 1 1 -2 -1 0 1 5 5 1 2 0 -2 3 13 13 8 9 0 -9 -21 -6 14 14 8 9 0 -9 -72 -114 | +| 164 | BinomialBell:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -1 1 -2 0 1 -3 0 1 -4 0 0 1 -5 0 1 1 -6 0 4 0 1 -7 0 10 1 1 -8 0 20 5 0 1 -9 0 35 15 -2 1 | +| 165 | BinomialBell:Inv:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 -4 0 0 1 -6 0 4 0 1 -8 0 16 5 0 1 -10 0 40 25 -12 0 1 -12 0 80 75 -72 -63 0 1 -14 0 | +| 166 | BinomialBell:Inv:Rev | RowSum | A000587 | 1 1 0 -1 -1 2 9 9 -50 -267 -413 2180 17731 50533 -110176 -1966797 -9938669 -8638718 278475061 | +| 167 | BinomialBell:Inv:Rev | EvenSum | missing | 1 1 1 1 1 2 6 7 -27 -131 -179 984 8966 26457 -62763 -965807 -4896655 -5230078 143296146 1270217511 | +| 168 | BinomialBell:Inv:Rev | OddSum | missing | 0 0 -1 -2 -2 0 3 2 -23 -136 -234 1196 8765 24076 -47413 -1000990 -5042014 -3408640 135178915 | +| 169 | BinomialBell:Inv:Rev | AltSum | A109747 | 1 1 2 3 3 2 3 5 -4 5 55 -212 201 2381 -15350 35183 145359 -1821438 8117231 -521487 -278996548 | +| 170 | BinomialBell:Inv:Rev | DiagSum | missing | 1 1 1 0 -1 -2 -3 -3 -1 5 18 40 70 93 60 -150 -795 -2321 -5308 -9903 -13748 -6147 46141 227779 | +| 171 | BinomialBell:Inv:Rev | AccSum | missing | 1 2 1 -2 -5 0 28 72 -37 -934 -3229 230 59442 313838 436577 -5476058 -49379293 -176296140 410091916 | +| 172 | BinomialBell:Inv:Rev | AccRevSum | missing | 1 1 -1 -3 -1 14 44 9 -463 -2003 -1727 28110 188792 444157 -2199393 -27959491 -129516749 12160498 | +| 173 | BinomialBell:Inv:Rev | RowLcm | missing | 1 1 1 2 3 4 10 180 630 25200 5046300 992439000 594967180500 18084622418478000 56572918670230162200 | +| 174 | BinomialBell:Inv:Rev | RowGcd | missing | 1 1 1 2 3 4 1 1 1 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 175 | BinomialBell:Inv:Rev | RowMax | missing | 1 1 1 2 3 4 10 20 63 252 756 2670 14685 58740 230503 1613521 8067605 32270420 267484392 1604906352 | +| 176 | BinomialBell:Inv:Rev | ColMiddle | missing | 1 1 -1 -2 0 0 10 20 35 70 -252 -504 -4158 -8316 -15444 -30888 321750 643500 6490770 12981540 | +| 177 | BinomialBell:Inv:Rev | CentralE | missing | 1 -1 0 10 35 -252 -4158 -15444 321750 6490770 38152114 -768920880 -23973695018 -262786759900 | +| 178 | BinomialBell:Inv:Rev | CentralO | missing | 1 -2 0 20 70 -504 -8316 -30888 643500 12981540 76304228 -1537841760 -47947390036 -525573519800 | +| 179 | BinomialBell:Inv:Rev | BinConv | missing | 1 1 -1 -5 -7 26 234 869 167 -23969 -201773 -850794 861607 51253333 506377533 2648572783 -2108788043 | +| 180 | BinomialBell:Inv:Rev | InvBinConv | missing | 1 -1 3 -7 9 14 -82 -57 1207 -175 -22325 5378 548287 248923 -16695975 -34009827 568380149 2734228778 | +| 181 | BinomialBell:Inv:Rev | TransNat0 | missing | 0 0 -1 -2 0 12 35 0 -413 -1736 -1314 25930 171061 393624 -2089217 -25992694 -119578080 20799216 | +| 182 | BinomialBell:Inv:Rev | TransNat1 | missing | 1 1 -1 -3 -1 14 44 9 -463 -2003 -1727 28110 188792 444157 -2199393 -27959491 -129516749 12160498 | +| 183 | BinomialBell:Inv:Rev | TransSqrs | missing | 0 0 -1 -2 6 48 115 -210 -2891 -10584 3798 272440 1596441 2670756 -32276933 -334648678 -1403780790 | +| 184 | BinomialBell:Inv:Rev | PosHalf | missing | 1 2 2 0 -6 -14 0 118 434 292 -5186 -31102 -65604 321418 3713242 15943744 -2599902 -574227558 | +| 185 | BinomialBell:Inv:Rev | NegHalf | missing | 1 -2 6 -16 38 -82 168 -342 694 -1380 2770 -5650 10876 -22154 49070 -67440 205246 -701210 -2240456 | +| 186 | BinomialBell:Inv:Rev | DiagRow1 | A000587 | 1 -1 0 1 1 -2 -9 -9 50 267 413 -2180 -17731 -50533 110176 1966797 9938669 8638718 -278475061 | +| 187 | BinomialBell:Inv:Rev | DiagRow2 | missing | 1 -2 0 4 5 -12 -63 -72 450 2670 4543 -26160 -230503 -707462 1652640 31468752 168957373 155496924 | +| 188 | BinomialBell:Inv:Rev | DiagRow3 | missing | 1 -3 0 10 15 -42 -252 -324 2250 14685 27258 -170040 -1613521 -5305965 13221120 267484392 1520616357 | +| 189 | BinomialBell:Inv:Rev | DiagCol1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 190 | BinomialBell:Inv:Rev | DiagCol3 | A000292 | 0 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 | +| 191 | BinomialBell:Inv:Rev | Poly | A053864 | 1 1 1 1 1 1 1 0 1 1 1 -1 -1 1 1 1 -1 -3 -2 1 1 1 2 3 -5 -3 1 1 1 9 41 19 -7 -4 1 1 1 9 87 178 53 -9 | +| 192 | BinomialBell:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 193 | BinomialBell:Inv:Rev | PolyRow3 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | +| 194 | BinomialBell:Inv:Rev | PolyCol2 | A308645 | 1 1 -1 -3 3 41 87 -571 -5701 -14575 156655 2094925 9148851 -63364423 -1474212665 -11494853995 | +| 195 | BinomialBell:Inv:Rev | PolyCol3 | A284860 | 1 1 -2 -5 19 178 175 -7739 -72056 -33179 6899311 87861076 215532301 -11151014291 -222077806202 | +| 196 | BinomialBell:Inv:Rev | PolyDiag | missing | 1 1 -1 -5 53 1106 -6941 -1217691 -36604471 1667925685 307980143911 17465711846980 -1259267997953219 | \ No newline at end of file diff --git a/data/md/BinomialCatalan.md b/data/md/BinomialCatalan.md index a545fe1..996d857 100644 --- a/data/md/BinomialCatalan.md +++ b/data/md/BinomialCatalan.md @@ -41,85 +41,126 @@ | 38 | BinomialCatalan:Std | PolyCol2 | B162326 | 1 3 13 71 441 2955 20805 151695 1135345 8671763 67320573 529626839 4213228969 33833367963 | | 39 | BinomialCatalan:Std | PolyCol3 | A337167 | 1 4 25 199 1795 17422 177463 1870960 20241403 223438852 2506596547 28494103183 327507800725 | | 40 | BinomialCatalan:Std | PolyDiag | A338979 | 1 2 13 199 5073 181776 8413021 478070020 32238960193 2517734880838 223558608409101 | -| 41 | BinomialCatalan:Rev | Triangle | A124644 | 1 1 1 2 2 1 5 6 3 1 14 20 12 4 1 42 70 50 20 5 1 132 252 210 100 30 6 1 429 924 882 490 175 42 7 1 | -| 42 | BinomialCatalan:Rev | Inv | missing | 1 -1 1 0 -2 1 1 0 -3 1 2 4 0 -4 1 -2 10 10 0 -5 1 -28 -12 30 20 0 -6 1 -65 -196 -42 70 35 0 -7 1 | -| 43 | BinomialCatalan:Rev | RevInv | missing | 1 1 -1 1 -2 0 1 -3 0 1 1 -4 0 4 2 1 -5 0 10 10 -2 1 -6 0 20 30 -12 -28 1 -7 0 35 70 -42 -196 -65 1 | -| 44 | BinomialCatalan:Rev | Acc | missing | 1 1 2 2 4 5 5 11 14 15 14 34 46 50 51 42 112 162 182 187 188 132 384 594 694 724 730 731 429 1353 | -| 45 | BinomialCatalan:Rev | AccRev | missing | 1 1 2 1 3 5 1 4 10 15 1 5 17 37 51 1 6 26 76 146 188 1 7 37 137 347 599 731 1 8 50 225 715 1597 | -| 46 | BinomialCatalan:Rev | AntiDiag | missing | 1 1 2 1 5 2 14 6 1 42 20 3 132 70 12 1 429 252 50 4 1430 924 210 20 1 4862 3432 882 100 5 16796 | -| 47 | BinomialCatalan:Rev | Diffx1 | missing | 1 1 2 2 4 3 5 12 9 4 14 40 36 16 5 42 140 150 80 25 6 132 504 630 400 150 36 7 429 1848 2646 1960 | -| 48 | BinomialCatalan:Rev | RowSum | A007317 | 1 2 5 15 51 188 731 2950 12235 51822 223191 974427 4302645 19181100 86211885 390248055 1777495635 | -| 49 | BinomialCatalan:Rev | EvenSum | A102318 | 1 1 3 8 27 97 373 1493 6163 26027 111897 488006 2153429 9596199 43121211 195165576 888861555 | -| 50 | BinomialCatalan:Rev | OddSum | missing | 0 1 2 7 24 91 358 1457 6072 25795 111294 486421 2149216 9584901 43090674 195082479 888634080 | -| 51 | BinomialCatalan:Rev | AltSum | A005043 | 1 0 1 1 3 6 15 36 91 232 603 1585 4213 11298 30537 83097 227475 625992 1730787 4805595 13393689 | -| 52 | BinomialCatalan:Rev | DiagSum | A105864 | 1 1 3 7 21 65 215 735 2585 9281 33883 125383 469229 1772801 6752623 25902975 99978865 388001025 | -| 53 | BinomialCatalan:Rev | AccSum | A026375 | 1 3 11 45 195 873 3989 18483 86515 408105 1936881 9238023 44241261 212601015 1024642875 4950790605 | -| 54 | BinomialCatalan:Rev | AccRevSum | missing | 1 3 9 30 111 443 1859 8067 35835 161937 741411 3429528 15995769 75115485 354747285 1683426330 | -| 55 | BinomialCatalan:Rev | RowLcm | missing | 1 1 2 30 420 2100 69300 6306300 1681680 257297040 12221609400 44812567800 883447765200 | -| 56 | BinomialCatalan:Rev | RowGcd | A040001 | 1 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 | -| 57 | BinomialCatalan:Rev | RowMax | missing | 1 1 2 6 20 70 252 924 3696 15444 64350 267410 1108536 4803656 21398104 94645460 416024000 | -| 58 | BinomialCatalan:Rev | ColMiddle | missing | 1 1 2 6 12 50 100 490 980 5292 10584 60984 121968 736164 1472328 9202050 18404100 118195220 | -| 59 | BinomialCatalan:Rev | CentralE | A000888 | 1 2 12 100 980 10584 121968 1472328 18404100 236390440 3103161776 41469525552 562496897872 | -| 60 | BinomialCatalan:Rev | CentralO | B125558 | 1 6 50 490 5292 60984 736164 9202050 118195220 1551580888 20734762776 281248448936 3863302870000 | -| 61 | BinomialCatalan:Rev | ColLeft | A000108 | 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | -| 62 | BinomialCatalan:Rev | BinConv | A086618 | 1 2 7 33 183 1118 7281 49626 349999 2535078 18758265 141254655 1079364105 8350678170 65298467487 | -| 63 | BinomialCatalan:Rev | InvBinConv | missing | 1 0 -1 5 -9 -16 185 -624 175 9080 -47871 83995 425161 -3735720 11542999 10531717 -280181985 | -| 64 | BinomialCatalan:Rev | TransNat0 | missing | 0 1 4 15 60 255 1128 5117 23600 110115 518220 2455101 11693124 55934385 268535400 1293178275 | -| 65 | BinomialCatalan:Rev | TransNat1 | missing | 1 3 9 30 111 443 1859 8067 35835 161937 741411 3429528 15995769 75115485 354747285 1683426330 | -| 66 | BinomialCatalan:Rev | TransSqrs | missing | 0 1 6 27 120 555 2658 13013 64536 322515 1619370 8155521 41154336 207944997 1051616790 5321209275 | -| 67 | BinomialCatalan:Rev | PosHalf | B162326 | 1 3 13 71 441 2955 20805 151695 1135345 8671763 67320573 529626839 4213228969 33833367963 | -| 68 | BinomialCatalan:Rev | NegHalf | A337168 | 1 -1 5 -21 105 -553 3053 -17405 101713 -606033 3667797 -22485477 139340985 -871429497 5492959293 | -| 69 | BinomialCatalan:Rev | DiagRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 70 | BinomialCatalan:Rev | DiagRow2 | B002378 | 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | -| 71 | BinomialCatalan:Rev | DiagRow3 | B134481 | 5 20 50 100 175 280 420 600 825 1100 1430 1820 2275 2800 3400 4080 4845 5700 6650 7700 8855 10120 | -| 72 | BinomialCatalan:Rev | DiagCol1 | A000984 | 1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 40116600 155117520 601080390 | -| 73 | BinomialCatalan:Rev | DiagCol2 | A092443 | 1 3 12 50 210 882 3696 15444 64350 267410 1108536 4585308 18929092 78004500 320932800 1318498920 | -| 74 | BinomialCatalan:Rev | DiagCol3 | missing | 1 4 20 100 490 2352 11088 51480 235950 1069640 4803656 21398104 94645460 416024000 1818619200 | -| 75 | BinomialCatalan:Rev | Poly | A271025 | 1 1 1 2 2 1 5 5 3 1 14 15 10 4 1 42 51 37 17 5 1 132 188 150 77 26 6 1 429 731 654 371 141 37 7 1 | -| 76 | BinomialCatalan:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 77 | BinomialCatalan:Rev | PolyRow2 | B002522 | 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 78 | BinomialCatalan:Rev | PolyRow3 | B005491 | 5 15 37 77 141 235 365 537 757 1031 1365 1765 2237 2787 3421 4145 4965 5887 6917 8061 9325 10715 | -| 79 | BinomialCatalan:Rev | PolyCol2 | A064613 | 1 3 10 37 150 654 3012 14445 71398 361114 1859628 9716194 51373180 274352316 1477635912 8016865533 | -| 80 | BinomialCatalan:Rev | PolyCol3 | A104455 | 1 4 17 77 371 1890 10095 56040 320795 1881524 11250827 68330773 420314629 2612922694 16389162537 | -| 81 | BinomialCatalan:Rev | PolyDiag | A292632 | 1 2 10 77 798 10392 162996 2991340 62893270 1490758022 39334017996 1143492521437 36318168041260 | -| 82 | BinomialCatalan:Rev:Inv | Triangle | missing | 1 -1 1 0 -2 1 1 0 -3 1 2 4 0 -4 1 -2 10 10 0 -5 1 -28 -12 30 20 0 -6 1 -65 -196 -42 70 35 0 -7 1 | -| 83 | BinomialCatalan:Rev:Inv | Rev | missing | 1 1 -1 1 -2 0 1 -3 0 1 1 -4 0 4 2 1 -5 0 10 10 -2 1 -6 0 20 30 -12 -28 1 -7 0 35 70 -42 -196 -65 1 | -| 84 | BinomialCatalan:Rev:Inv | Inv | A124644 | 1 1 1 2 2 1 5 6 3 1 14 20 12 4 1 42 70 50 20 5 1 132 252 210 100 30 6 1 429 924 882 490 175 42 7 1 | -| 85 | BinomialCatalan:Rev:Inv | RevInv | A098474 | 1 1 1 1 2 2 1 3 6 5 1 4 12 20 14 1 5 20 50 70 42 1 6 30 100 210 252 132 1 7 42 175 490 882 924 429 | -| 86 | BinomialCatalan:Rev:Inv | Acc | missing | 1 -1 0 0 -2 -1 1 1 -2 -1 2 6 6 2 3 -2 8 18 18 13 14 -28 -40 -10 10 10 4 5 -65 -261 -303 -233 -198 | -| 87 | BinomialCatalan:Rev:Inv | AccRev | missing | 1 1 0 1 -1 -1 1 -2 -2 -1 1 -3 -3 1 3 1 -4 -4 6 16 14 1 -5 -5 15 45 33 5 1 -6 -6 29 99 57 -139 -204 | -| 88 | BinomialCatalan:Rev:Inv | AntiDiag | missing | 1 -1 0 1 1 -2 2 0 1 -2 4 -3 -28 10 0 1 -65 -12 10 -4 338 -196 30 0 1 3262 -520 -42 20 -5 4352 3042 | -| 89 | BinomialCatalan:Rev:Inv | Diffx1 | missing | 1 -1 2 0 -4 3 1 0 -9 4 2 8 0 -16 5 -2 20 30 0 -25 6 -28 -24 90 80 0 -36 7 -65 -392 -126 280 175 0 | -| 90 | BinomialCatalan:Rev:Inv | RowSum | missing | 1 0 -1 -1 3 14 5 -204 -889 1688 38529 135475 -1141679 -15252654 -24899225 1036057855 10337435655 | -| 91 | BinomialCatalan:Rev:Inv | EvenSum | missing | 1 -1 1 -2 3 3 3 -79 -305 745 14103 44108 -449479 -5456895 -6071335 391343078 3600465159 | -| 92 | BinomialCatalan:Rev:Inv | OddSum | missing | 0 1 -2 1 0 11 2 -125 -584 943 24426 91367 -692200 -9795759 -18827890 644714777 6736970496 | -| 93 | BinomialCatalan:Rev:Inv | AltSum | missing | 1 -2 3 -3 3 -8 1 46 279 -198 -10323 -47259 242721 4338864 12756555 -253371699 -3136505337 262118458 | -| 94 | BinomialCatalan:Rev:Inv | DiagSum | missing | 1 -1 1 -1 3 -1 -17 -71 173 2715 6681 -82885 -818269 -40565 57549675 417476813 -2124400207 | -| 95 | BinomialCatalan:Rev:Inv | AccSum | missing | 1 -1 -3 -1 19 69 -49 -1667 -6369 24881 406939 1201881 -16467527 -198695329 -159951219 16950414055 | -| 96 | BinomialCatalan:Rev:Inv | AccRevSum | missing | 1 1 -1 -4 -1 29 89 -169 -2521 -6313 55409 559294 484021 -30094481 -238436381 662569480 26914361335 | -| 97 | BinomialCatalan:Rev:Inv | RowLcm | missing | 1 1 2 3 4 10 420 38220 662480 1389220560 1889339961600 130564097606342400 6887047246178391452160 | -| 98 | BinomialCatalan:Rev:Inv | RowGcd | missing | 1 1 2 3 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 | -| 99 | BinomialCatalan:Rev:Inv | RowMax | missing | 1 1 2 3 4 10 30 196 784 3262 32620 179410 1356984 11428820 80001740 1029616800 8236934400 | -| 100 | BinomialCatalan:Rev:Inv | ColMiddle | missing | 1 -1 -2 0 0 10 20 70 140 -252 -504 -12936 -25872 -111540 -223080 2175030 4350060 79299220 158598440 | -| 101 | BinomialCatalan:Rev:Inv | CentralE | missing | 1 -2 0 20 140 -504 -25872 -223080 4350060 158598440 804058112 -79771661424 -2377331705840 | -| 102 | BinomialCatalan:Rev:Inv | CentralO | missing | -1 0 10 70 -252 -12936 -111540 2175030 79299220 402029056 -39885830712 -1188665852920 5954405903600 | -| 103 | BinomialCatalan:Rev:Inv | ColLeft | A178955 | 1 -1 0 1 2 -2 -28 -65 338 3262 4352 -113082 -879140 1145012 68641120 409571279 -3075414734 | -| 104 | BinomialCatalan:Rev:Inv | BinConv | missing | 1 0 -3 -7 3 124 715 1308 -19173 -244192 -1180305 6246195 177099505 1471962660 -2511097615 | -| 105 | BinomialCatalan:Rev:Inv | InvBinConv | missing | 1 2 5 9 3 -22 131 850 -4453 -32682 264711 1693827 -22137615 -100309986 2404653465 4645440633 | -| 106 | BinomialCatalan:Rev:Inv | TransNat0 | missing | 0 1 0 -3 -4 15 84 35 -1632 -8001 16880 423819 1625700 -14841827 -213537156 -373488375 16576925680 | -| 107 | BinomialCatalan:Rev:Inv | TransNat1 | missing | 1 1 -1 -4 -1 29 89 -169 -2521 -6313 55409 559294 484021 -30094481 -238436381 662569480 26914361335 | -| 108 | BinomialCatalan:Rev:Inv | TransSqrs | missing | 0 1 2 -3 -16 -5 174 623 -1352 -22689 -63130 609499 6711528 6292273 -421322734 -3576545715 | -| 109 | BinomialCatalan:Rev:Inv | PosHalf | missing | 1 -1 -3 3 57 167 -1547 -20821 -31119 1995471 23668461 -80027181 -5683950423 -52934030217 | -| 110 | BinomialCatalan:Rev:Inv | NegHalf | missing | 1 3 5 -1 9 155 -1075 -2025 108305 -730957 -7707243 204988591 -847330535 -37925156277 751309761373 | -| 111 | BinomialCatalan:Rev:Inv | DiagRow1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | -| 112 | BinomialCatalan:Rev:Inv | DiagRow3 | B000292 | 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 2925 | -| 113 | BinomialCatalan:Rev:Inv | DiagCol1 | missing | 1 -2 0 4 10 -12 -196 -520 3042 32620 47872 -1356984 -11428820 16030168 1029616800 6553140464 | -| 114 | BinomialCatalan:Rev:Inv | DiagCol2 | missing | 1 -3 0 10 30 -42 -784 -2340 15210 179410 287232 -8820396 -80001740 120226260 8236934400 55701693944 | -| 115 | BinomialCatalan:Rev:Inv | DiagCol3 | missing | 1 -4 0 20 70 -112 -2352 -7800 55770 717640 1244672 -41161848 -400008700 641206720 46675961600 | -| 116 | BinomialCatalan:Rev:Inv | Poly | missing | 1 -1 1 0 0 1 1 -1 1 1 2 -1 0 2 1 -2 3 -3 3 3 1 -28 14 -6 1 8 4 1 -65 5 10 -13 17 15 5 1 338 -204 | -| 117 | BinomialCatalan:Rev:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | -| 118 | BinomialCatalan:Rev:Inv | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | -| 119 | BinomialCatalan:Rev:Inv | PolyRow3 | missing | 1 -1 -3 1 17 51 109 197 321 487 701 969 1297 1691 2157 2701 3329 4047 4861 5777 6801 7939 9197 | -| 120 | BinomialCatalan:Rev:Inv | PolyCol2 | A308849 | 1 1 0 -3 -6 10 100 175 -1470 -11214 -4032 447678 2813580 -8767044 -254393568 -1156311585 | -| 121 | BinomialCatalan:Rev:Inv | PolyCol3 | missing | 1 2 3 1 -13 -44 17 778 2711 -9482 -139411 -349887 4960177 52144964 11871355 -4077541855 | -| 122 | BinomialCatalan:Rev:Inv | PolyDiag | missing | 1 0 0 1 18 298 5300 104550 2297106 55994512 1504851552 44292772665 1418746343740 49168173703374 | \ No newline at end of file +| 41 | BinomialCatalan:Alt | Triangle | A098474 | 1 1 -1 1 -2 2 1 -3 6 -5 1 -4 12 -20 14 1 -5 20 -50 70 -42 1 -6 30 -100 210 -252 132 1 -7 42 -175 | +| 42 | BinomialCatalan:Alt | Rev | A124644 | 1 -1 1 2 -2 1 -5 6 -3 1 14 -20 12 -4 1 -42 70 -50 20 -5 1 132 -252 210 -100 30 -6 1 -429 924 -882 | +| 43 | BinomialCatalan:Alt | InvRev | missing | 1 1 1 0 2 1 -1 0 3 1 2 -4 0 4 1 2 10 -10 0 5 1 -28 12 30 -20 0 6 1 65 -196 42 70 -35 0 7 1 338 520 | +| 44 | BinomialCatalan:Alt | Acc | missing | 1 1 0 1 -1 1 1 -2 4 -1 1 -3 9 -11 3 1 -4 16 -34 36 -6 1 -5 25 -75 135 -117 15 1 -6 36 -139 351 -531 | +| 45 | BinomialCatalan:Alt | AccRev | missing | 1 -1 0 2 0 1 -5 1 -2 -1 14 -6 6 2 3 -42 28 -22 -2 -7 -6 132 -120 90 -10 20 14 15 -429 495 -387 103 | +| 46 | BinomialCatalan:Alt | AntiDiag | A344391 | 1 1 1 -1 1 -2 1 -3 2 1 -4 6 1 -5 12 -5 1 -6 20 -20 1 -7 30 -50 14 1 -8 42 -100 70 1 -9 56 -175 210 | +| 47 | BinomialCatalan:Alt | Diffx1 | A098473 | 1 1 -2 1 -4 6 1 -6 18 -20 1 -8 36 -80 70 1 -10 60 -200 350 -252 1 -12 90 -400 1050 -1512 924 1 -14 | +| 48 | BinomialCatalan:Alt | RowSum | A005043 | 1 0 1 -1 3 -6 15 -36 91 -232 603 -1585 4213 -11298 30537 -83097 227475 -625992 1730787 -4805595 | +| 49 | BinomialCatalan:Alt | EvenSum | A098465 | 1 1 3 7 27 91 373 1457 6163 25795 111897 486421 2153429 9584901 43121211 195082479 888861555 | +| 50 | BinomialCatalan:Alt | OddSum | missing | 0 -1 -2 -8 -24 -97 -358 -1493 -6072 -26027 -111294 -488006 -2149216 -9596199 -43090674 -195165576 | +| 51 | BinomialCatalan:Alt | AltSum | A007317 | 1 2 5 15 51 188 731 2950 12235 51822 223191 974427 4302645 19181100 86211885 390248055 1777495635 | +| 52 | BinomialCatalan:Alt | DiagSum | A360024 | 1 1 0 -1 0 3 3 -5 -12 5 41 21 -110 -165 210 735 -30 -2505 -2205 6555 13710 -10035 -57390 -18471 | +| 53 | BinomialCatalan:Alt | AccSum | missing | 1 1 1 2 -1 9 -21 69 -197 587 -1717 5048 -14807 43471 -127635 374958 -1102077 3241083 -9537069 | +| 54 | BinomialCatalan:Alt | AccRevSum | A002426 | 1 -1 3 -7 19 -51 141 -393 1107 -3139 8953 -25653 73789 -212941 616227 -1787607 5196627 -15134931 | +| 55 | BinomialCatalan:Alt | RowLcm | missing | 1 1 2 30 420 2100 69300 6306300 1681680 257297040 12221609400 44812567800 883447765200 | +| 56 | BinomialCatalan:Alt | RowGcd | A040001 | 1 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 | +| 57 | BinomialCatalan:Alt | RowMax | missing | 1 1 2 6 20 70 252 924 3696 15444 64350 267410 1108536 4803656 21398104 94645460 416024000 | +| 58 | BinomialCatalan:Alt | ColMiddle | missing | 1 1 -2 -3 12 20 -100 -175 980 1764 -10584 -19404 121968 226512 -1472328 -2760615 18404100 34763300 | +| 59 | BinomialCatalan:Alt | CentralE | A000888 | 1 -2 12 -100 980 -10584 121968 -1472328 18404100 -236390440 3103161776 -41469525552 562496897872 | +| 60 | BinomialCatalan:Alt | CentralO | A000891 | 1 -3 20 -175 1764 -19404 226512 -2760615 34763300 -449141836 5924217936 -79483257308 1081724803600 | +| 61 | BinomialCatalan:Alt | ColRight | A000108 | 1 -1 2 -5 14 -42 132 -429 1430 -4862 16796 -58786 208012 -742900 2674440 -9694845 35357670 | +| 62 | BinomialCatalan:Alt | BinConv | missing | 1 0 -1 5 -9 -16 185 -624 175 9080 -47871 83995 425161 -3735720 11542999 10531717 -280181985 | +| 63 | BinomialCatalan:Alt | InvBinConv | A086618 | 1 -2 7 -33 183 -1118 7281 -49626 349999 -2535078 18758265 -141254655 1079364105 -8350678170 | +| 64 | BinomialCatalan:Alt | TransNat0 | A005717 | 0 -1 2 -6 16 -45 126 -357 1016 -2907 8350 -24068 69576 -201643 585690 -1704510 4969152 -14508939 | +| 65 | BinomialCatalan:Alt | TransNat1 | A002426 | 1 -1 3 -7 19 -51 141 -393 1107 -3139 8953 -25653 73789 -212941 616227 -1787607 5196627 -15134931 | +| 66 | BinomialCatalan:Alt | TransSqrs | missing | 0 -1 6 -24 88 -305 1026 -3381 10984 -35307 112570 -356598 1123728 -3525847 11022662 -34353000 | +| 67 | BinomialCatalan:Alt | PosHalf | A001405 | 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 48620 92378 184756 352716 705432 | +| 68 | BinomialCatalan:Alt | NegHalf | A064613 | 1 -3 10 -37 150 -654 3012 -14445 71398 -361114 1859628 -9716194 51373180 -274352316 1477635912 | +| 69 | BinomialCatalan:Alt | DiagRow1 | A000984 | 1 -2 6 -20 70 -252 924 -3432 12870 -48620 184756 -705432 2704156 -10400600 40116600 -155117520 | +| 70 | BinomialCatalan:Alt | DiagRow2 | A092443 | 1 -3 12 -50 210 -882 3696 -15444 64350 -267410 1108536 -4585308 18929092 -78004500 320932800 | +| 71 | BinomialCatalan:Alt | DiagRow3 | missing | 1 -4 20 -100 490 -2352 11088 -51480 235950 -1069640 4803656 -21398104 94645460 -416024000 | +| 72 | BinomialCatalan:Alt | DiagCol1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | +| 73 | BinomialCatalan:Alt | DiagCol2 | B002378 | 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | +| 74 | BinomialCatalan:Alt | DiagCol3 | B134481 | -5 -20 -50 -100 -175 -280 -420 -600 -825 -1100 -1430 -1820 -2275 -2800 -3400 -4080 -4845 -5700 | +| 75 | BinomialCatalan:Alt | Poly | missing | 1 1 1 1 0 1 1 1 -1 1 1 -1 5 -2 1 1 3 -21 13 -3 1 1 -6 105 -89 25 -4 1 1 15 -553 691 -235 41 -5 1 1 | +| 76 | BinomialCatalan:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 77 | BinomialCatalan:Alt | PolyRow2 | A001844 | 1 1 5 13 25 41 61 85 113 145 181 221 265 313 365 421 481 545 613 685 761 841 925 1013 1105 1201 | +| 78 | BinomialCatalan:Alt | PolyRow3 | missing | 1 -1 -21 -89 -235 -489 -881 -1441 -2199 -3185 -4429 -5961 -7811 -10009 -12585 -15569 -18991 -22881 | +| 79 | BinomialCatalan:Alt | PolyCol2 | A337168 | 1 -1 5 -21 105 -553 3053 -17405 101713 -606033 3667797 -22485477 139340985 -871429497 5492959293 | +| 80 | BinomialCatalan:Alt | PolyCol3 | A337169 | 1 -2 13 -89 691 -5720 49555 -443630 4071595 -38105342 362271823 -3488988101 33967656469 | +| 81 | BinomialCatalan:Alt | PolyDiag | A339001 | 1 0 5 -89 2481 -93274 4450645 -258297570 17689681345 -1397903887808 125286890408901 | +| 82 | BinomialCatalan:Rev | Triangle | A124644 | 1 1 1 2 2 1 5 6 3 1 14 20 12 4 1 42 70 50 20 5 1 132 252 210 100 30 6 1 429 924 882 490 175 42 7 1 | +| 83 | BinomialCatalan:Rev | Inv | missing | 1 -1 1 0 -2 1 1 0 -3 1 2 4 0 -4 1 -2 10 10 0 -5 1 -28 -12 30 20 0 -6 1 -65 -196 -42 70 35 0 -7 1 | +| 84 | BinomialCatalan:Rev | RevInv | missing | 1 1 -1 1 -2 0 1 -3 0 1 1 -4 0 4 2 1 -5 0 10 10 -2 1 -6 0 20 30 -12 -28 1 -7 0 35 70 -42 -196 -65 1 | +| 85 | BinomialCatalan:Rev | Acc | missing | 1 1 2 2 4 5 5 11 14 15 14 34 46 50 51 42 112 162 182 187 188 132 384 594 694 724 730 731 429 1353 | +| 86 | BinomialCatalan:Rev | AccRev | missing | 1 1 2 1 3 5 1 4 10 15 1 5 17 37 51 1 6 26 76 146 188 1 7 37 137 347 599 731 1 8 50 225 715 1597 | +| 87 | BinomialCatalan:Rev | AntiDiag | missing | 1 1 2 1 5 2 14 6 1 42 20 3 132 70 12 1 429 252 50 4 1430 924 210 20 1 4862 3432 882 100 5 16796 | +| 88 | BinomialCatalan:Rev | Diffx1 | missing | 1 1 2 2 4 3 5 12 9 4 14 40 36 16 5 42 140 150 80 25 6 132 504 630 400 150 36 7 429 1848 2646 1960 | +| 89 | BinomialCatalan:Rev | RowSum | A007317 | 1 2 5 15 51 188 731 2950 12235 51822 223191 974427 4302645 19181100 86211885 390248055 1777495635 | +| 90 | BinomialCatalan:Rev | EvenSum | A102318 | 1 1 3 8 27 97 373 1493 6163 26027 111897 488006 2153429 9596199 43121211 195165576 888861555 | +| 91 | BinomialCatalan:Rev | OddSum | missing | 0 1 2 7 24 91 358 1457 6072 25795 111294 486421 2149216 9584901 43090674 195082479 888634080 | +| 92 | BinomialCatalan:Rev | AltSum | A005043 | 1 0 1 1 3 6 15 36 91 232 603 1585 4213 11298 30537 83097 227475 625992 1730787 4805595 13393689 | +| 93 | BinomialCatalan:Rev | DiagSum | A105864 | 1 1 3 7 21 65 215 735 2585 9281 33883 125383 469229 1772801 6752623 25902975 99978865 388001025 | +| 94 | BinomialCatalan:Rev | AccSum | A026375 | 1 3 11 45 195 873 3989 18483 86515 408105 1936881 9238023 44241261 212601015 1024642875 4950790605 | +| 95 | BinomialCatalan:Rev | AccRevSum | missing | 1 3 9 30 111 443 1859 8067 35835 161937 741411 3429528 15995769 75115485 354747285 1683426330 | +| 96 | BinomialCatalan:Rev | RowLcm | missing | 1 1 2 30 420 2100 69300 6306300 1681680 257297040 12221609400 44812567800 883447765200 | +| 97 | BinomialCatalan:Rev | RowGcd | A040001 | 1 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 | +| 98 | BinomialCatalan:Rev | RowMax | missing | 1 1 2 6 20 70 252 924 3696 15444 64350 267410 1108536 4803656 21398104 94645460 416024000 | +| 99 | BinomialCatalan:Rev | ColMiddle | missing | 1 1 2 6 12 50 100 490 980 5292 10584 60984 121968 736164 1472328 9202050 18404100 118195220 | +| 100 | BinomialCatalan:Rev | CentralE | A000888 | 1 2 12 100 980 10584 121968 1472328 18404100 236390440 3103161776 41469525552 562496897872 | +| 101 | BinomialCatalan:Rev | CentralO | B125558 | 1 6 50 490 5292 60984 736164 9202050 118195220 1551580888 20734762776 281248448936 3863302870000 | +| 102 | BinomialCatalan:Rev | ColLeft | A000108 | 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | +| 103 | BinomialCatalan:Rev | BinConv | A086618 | 1 2 7 33 183 1118 7281 49626 349999 2535078 18758265 141254655 1079364105 8350678170 65298467487 | +| 104 | BinomialCatalan:Rev | InvBinConv | missing | 1 0 -1 5 -9 -16 185 -624 175 9080 -47871 83995 425161 -3735720 11542999 10531717 -280181985 | +| 105 | BinomialCatalan:Rev | TransNat0 | missing | 0 1 4 15 60 255 1128 5117 23600 110115 518220 2455101 11693124 55934385 268535400 1293178275 | +| 106 | BinomialCatalan:Rev | TransNat1 | missing | 1 3 9 30 111 443 1859 8067 35835 161937 741411 3429528 15995769 75115485 354747285 1683426330 | +| 107 | BinomialCatalan:Rev | TransSqrs | missing | 0 1 6 27 120 555 2658 13013 64536 322515 1619370 8155521 41154336 207944997 1051616790 5321209275 | +| 108 | BinomialCatalan:Rev | PosHalf | B162326 | 1 3 13 71 441 2955 20805 151695 1135345 8671763 67320573 529626839 4213228969 33833367963 | +| 109 | BinomialCatalan:Rev | NegHalf | A337168 | 1 -1 5 -21 105 -553 3053 -17405 101713 -606033 3667797 -22485477 139340985 -871429497 5492959293 | +| 110 | BinomialCatalan:Rev | DiagRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 111 | BinomialCatalan:Rev | DiagRow2 | B002378 | 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | +| 112 | BinomialCatalan:Rev | DiagRow3 | B134481 | 5 20 50 100 175 280 420 600 825 1100 1430 1820 2275 2800 3400 4080 4845 5700 6650 7700 8855 10120 | +| 113 | BinomialCatalan:Rev | DiagCol1 | A000984 | 1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 40116600 155117520 601080390 | +| 114 | BinomialCatalan:Rev | DiagCol2 | A092443 | 1 3 12 50 210 882 3696 15444 64350 267410 1108536 4585308 18929092 78004500 320932800 1318498920 | +| 115 | BinomialCatalan:Rev | DiagCol3 | missing | 1 4 20 100 490 2352 11088 51480 235950 1069640 4803656 21398104 94645460 416024000 1818619200 | +| 116 | BinomialCatalan:Rev | Poly | A271025 | 1 1 1 2 2 1 5 5 3 1 14 15 10 4 1 42 51 37 17 5 1 132 188 150 77 26 6 1 429 731 654 371 141 37 7 1 | +| 117 | BinomialCatalan:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 118 | BinomialCatalan:Rev | PolyRow2 | B002522 | 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 119 | BinomialCatalan:Rev | PolyRow3 | B005491 | 5 15 37 77 141 235 365 537 757 1031 1365 1765 2237 2787 3421 4145 4965 5887 6917 8061 9325 10715 | +| 120 | BinomialCatalan:Rev | PolyCol2 | A064613 | 1 3 10 37 150 654 3012 14445 71398 361114 1859628 9716194 51373180 274352316 1477635912 8016865533 | +| 121 | BinomialCatalan:Rev | PolyCol3 | A104455 | 1 4 17 77 371 1890 10095 56040 320795 1881524 11250827 68330773 420314629 2612922694 16389162537 | +| 122 | BinomialCatalan:Rev | PolyDiag | A292632 | 1 2 10 77 798 10392 162996 2991340 62893270 1490758022 39334017996 1143492521437 36318168041260 | +| 123 | BinomialCatalan:Rev:Inv | Triangle | missing | 1 -1 1 0 -2 1 1 0 -3 1 2 4 0 -4 1 -2 10 10 0 -5 1 -28 -12 30 20 0 -6 1 -65 -196 -42 70 35 0 -7 1 | +| 124 | BinomialCatalan:Rev:Inv | Rev | missing | 1 1 -1 1 -2 0 1 -3 0 1 1 -4 0 4 2 1 -5 0 10 10 -2 1 -6 0 20 30 -12 -28 1 -7 0 35 70 -42 -196 -65 1 | +| 125 | BinomialCatalan:Rev:Inv | Inv | A124644 | 1 1 1 2 2 1 5 6 3 1 14 20 12 4 1 42 70 50 20 5 1 132 252 210 100 30 6 1 429 924 882 490 175 42 7 1 | +| 126 | BinomialCatalan:Rev:Inv | RevInv | A098474 | 1 1 1 1 2 2 1 3 6 5 1 4 12 20 14 1 5 20 50 70 42 1 6 30 100 210 252 132 1 7 42 175 490 882 924 429 | +| 127 | BinomialCatalan:Rev:Inv | Acc | missing | 1 -1 0 0 -2 -1 1 1 -2 -1 2 6 6 2 3 -2 8 18 18 13 14 -28 -40 -10 10 10 4 5 -65 -261 -303 -233 -198 | +| 128 | BinomialCatalan:Rev:Inv | AccRev | missing | 1 1 0 1 -1 -1 1 -2 -2 -1 1 -3 -3 1 3 1 -4 -4 6 16 14 1 -5 -5 15 45 33 5 1 -6 -6 29 99 57 -139 -204 | +| 129 | BinomialCatalan:Rev:Inv | AntiDiag | missing | 1 -1 0 1 1 -2 2 0 1 -2 4 -3 -28 10 0 1 -65 -12 10 -4 338 -196 30 0 1 3262 -520 -42 20 -5 4352 3042 | +| 130 | BinomialCatalan:Rev:Inv | Diffx1 | missing | 1 -1 2 0 -4 3 1 0 -9 4 2 8 0 -16 5 -2 20 30 0 -25 6 -28 -24 90 80 0 -36 7 -65 -392 -126 280 175 0 | +| 131 | BinomialCatalan:Rev:Inv | RowSum | missing | 1 0 -1 -1 3 14 5 -204 -889 1688 38529 135475 -1141679 -15252654 -24899225 1036057855 10337435655 | +| 132 | BinomialCatalan:Rev:Inv | EvenSum | missing | 1 -1 1 -2 3 3 3 -79 -305 745 14103 44108 -449479 -5456895 -6071335 391343078 3600465159 | +| 133 | BinomialCatalan:Rev:Inv | OddSum | missing | 0 1 -2 1 0 11 2 -125 -584 943 24426 91367 -692200 -9795759 -18827890 644714777 6736970496 | +| 134 | BinomialCatalan:Rev:Inv | AltSum | missing | 1 -2 3 -3 3 -8 1 46 279 -198 -10323 -47259 242721 4338864 12756555 -253371699 -3136505337 262118458 | +| 135 | BinomialCatalan:Rev:Inv | DiagSum | missing | 1 -1 1 -1 3 -1 -17 -71 173 2715 6681 -82885 -818269 -40565 57549675 417476813 -2124400207 | +| 136 | BinomialCatalan:Rev:Inv | AccSum | missing | 1 -1 -3 -1 19 69 -49 -1667 -6369 24881 406939 1201881 -16467527 -198695329 -159951219 16950414055 | +| 137 | BinomialCatalan:Rev:Inv | AccRevSum | missing | 1 1 -1 -4 -1 29 89 -169 -2521 -6313 55409 559294 484021 -30094481 -238436381 662569480 26914361335 | +| 138 | BinomialCatalan:Rev:Inv | RowLcm | missing | 1 1 2 3 4 10 420 38220 662480 1389220560 1889339961600 130564097606342400 6887047246178391452160 | +| 139 | BinomialCatalan:Rev:Inv | RowGcd | missing | 1 1 2 3 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 | +| 140 | BinomialCatalan:Rev:Inv | RowMax | missing | 1 1 2 3 4 10 30 196 784 3262 32620 179410 1356984 11428820 80001740 1029616800 8236934400 | +| 141 | BinomialCatalan:Rev:Inv | ColMiddle | missing | 1 -1 -2 0 0 10 20 70 140 -252 -504 -12936 -25872 -111540 -223080 2175030 4350060 79299220 158598440 | +| 142 | BinomialCatalan:Rev:Inv | CentralE | missing | 1 -2 0 20 140 -504 -25872 -223080 4350060 158598440 804058112 -79771661424 -2377331705840 | +| 143 | BinomialCatalan:Rev:Inv | CentralO | missing | -1 0 10 70 -252 -12936 -111540 2175030 79299220 402029056 -39885830712 -1188665852920 5954405903600 | +| 144 | BinomialCatalan:Rev:Inv | ColLeft | A178955 | 1 -1 0 1 2 -2 -28 -65 338 3262 4352 -113082 -879140 1145012 68641120 409571279 -3075414734 | +| 145 | BinomialCatalan:Rev:Inv | BinConv | missing | 1 0 -3 -7 3 124 715 1308 -19173 -244192 -1180305 6246195 177099505 1471962660 -2511097615 | +| 146 | BinomialCatalan:Rev:Inv | InvBinConv | missing | 1 2 5 9 3 -22 131 850 -4453 -32682 264711 1693827 -22137615 -100309986 2404653465 4645440633 | +| 147 | BinomialCatalan:Rev:Inv | TransNat0 | missing | 0 1 0 -3 -4 15 84 35 -1632 -8001 16880 423819 1625700 -14841827 -213537156 -373488375 16576925680 | +| 148 | BinomialCatalan:Rev:Inv | TransNat1 | missing | 1 1 -1 -4 -1 29 89 -169 -2521 -6313 55409 559294 484021 -30094481 -238436381 662569480 26914361335 | +| 149 | BinomialCatalan:Rev:Inv | TransSqrs | missing | 0 1 2 -3 -16 -5 174 623 -1352 -22689 -63130 609499 6711528 6292273 -421322734 -3576545715 | +| 150 | BinomialCatalan:Rev:Inv | PosHalf | missing | 1 -1 -3 3 57 167 -1547 -20821 -31119 1995471 23668461 -80027181 -5683950423 -52934030217 | +| 151 | BinomialCatalan:Rev:Inv | NegHalf | missing | 1 3 5 -1 9 155 -1075 -2025 108305 -730957 -7707243 204988591 -847330535 -37925156277 751309761373 | +| 152 | BinomialCatalan:Rev:Inv | DiagRow1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | +| 153 | BinomialCatalan:Rev:Inv | DiagRow3 | B000292 | 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 2925 | +| 154 | BinomialCatalan:Rev:Inv | DiagCol1 | missing | 1 -2 0 4 10 -12 -196 -520 3042 32620 47872 -1356984 -11428820 16030168 1029616800 6553140464 | +| 155 | BinomialCatalan:Rev:Inv | DiagCol2 | missing | 1 -3 0 10 30 -42 -784 -2340 15210 179410 287232 -8820396 -80001740 120226260 8236934400 55701693944 | +| 156 | BinomialCatalan:Rev:Inv | DiagCol3 | missing | 1 -4 0 20 70 -112 -2352 -7800 55770 717640 1244672 -41161848 -400008700 641206720 46675961600 | +| 157 | BinomialCatalan:Rev:Inv | Poly | missing | 1 -1 1 0 0 1 1 -1 1 1 2 -1 0 2 1 -2 3 -3 3 3 1 -28 14 -6 1 8 4 1 -65 5 10 -13 17 15 5 1 338 -204 | +| 158 | BinomialCatalan:Rev:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 159 | BinomialCatalan:Rev:Inv | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 160 | BinomialCatalan:Rev:Inv | PolyRow3 | missing | 1 -1 -3 1 17 51 109 197 321 487 701 969 1297 1691 2157 2701 3329 4047 4861 5777 6801 7939 9197 | +| 161 | BinomialCatalan:Rev:Inv | PolyCol2 | A308849 | 1 1 0 -3 -6 10 100 175 -1470 -11214 -4032 447678 2813580 -8767044 -254393568 -1156311585 | +| 162 | BinomialCatalan:Rev:Inv | PolyCol3 | missing | 1 2 3 1 -13 -44 17 778 2711 -9482 -139411 -349887 4960177 52144964 11871355 -4077541855 | +| 163 | BinomialCatalan:Rev:Inv | PolyDiag | missing | 1 0 0 1 18 298 5300 104550 2297106 55994512 1504851552 44292772665 1418746343740 49168173703374 | \ No newline at end of file diff --git a/data/md/BinomialMinus.md b/data/md/BinomialMinus.md new file mode 100644 index 0000000..8ae9bdd --- /dev/null +++ b/data/md/BinomialMinus.md @@ -0,0 +1,160 @@ +| | triangle | trait | anum | seq | +|----:|:----------------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | BinomialMinus:Std | Triangle | A027555 | 1 1 1 1 2 3 1 3 6 10 1 4 10 20 35 1 5 15 35 70 126 1 6 21 56 126 252 462 1 7 28 84 210 462 924 1716 | +| 1 | BinomialMinus:Std | Rev | A100100 | 1 1 1 3 2 1 10 6 3 1 35 20 10 4 1 126 70 35 15 5 1 462 252 126 56 21 6 1 1716 924 462 210 84 28 7 1 | +| 2 | BinomialMinus:Std | InvRev | A098599 | 1 -1 1 -1 -2 1 -1 0 -3 1 -1 0 2 -4 1 -1 0 0 5 -5 1 -1 0 0 -2 9 -6 1 -1 0 0 0 -7 14 -7 1 -1 0 0 0 2 | +| 3 | BinomialMinus:Std | Acc | A046899 | 1 1 2 1 3 6 1 4 10 20 1 5 15 35 70 1 6 21 56 126 252 1 7 28 84 210 462 924 1 8 36 120 330 792 1716 | +| 4 | BinomialMinus:Std | AccRev | missing | 1 1 2 3 5 6 10 16 19 20 35 55 65 69 70 126 196 231 246 251 252 462 714 840 896 917 923 924 1716 | +| 5 | BinomialMinus:Std | AntiDiag | missing | 1 1 1 1 1 2 1 3 3 1 4 6 1 5 10 10 1 6 15 20 1 7 21 35 35 1 8 28 56 70 1 9 36 84 126 126 1 10 45 120 | +| 6 | BinomialMinus:Std | Diffx1 | missing | 1 1 2 1 4 9 1 6 18 40 1 8 30 80 175 1 10 45 140 350 756 1 12 63 224 630 1512 3234 1 14 84 336 1050 | +| 7 | BinomialMinus:Std | RowSum | A000984 | 1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 40116600 155117520 601080390 | +| 8 | BinomialMinus:Std | EvenSum | missing | 1 1 4 7 46 86 610 1163 8518 16414 122464 237590 1794196 3497248 26635774 52097267 399300166 | +| 9 | BinomialMinus:Std | OddSum | missing | 0 1 2 13 24 166 314 2269 4352 32206 62292 467842 909960 6903352 13480826 103020253 201780224 | +| 10 | BinomialMinus:Std | AltSum | A072547 | 1 0 2 -6 22 -80 296 -1106 4166 -15792 60172 -230252 884236 -3406104 13154948 -50922986 197519942 | +| 11 | BinomialMinus:Std | DiagSum | A116406 | 1 1 2 3 7 11 26 42 99 163 382 638 1486 2510 5812 9908 22819 39203 89846 155382 354522 616666 | +| 12 | BinomialMinus:Std | AccSum | A001700 | 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | +| 13 | BinomialMinus:Std | AccRevSum | A034275 | 1 3 14 65 294 1302 5676 24453 104390 442442 1864356 7818538 32657884 135950700 564306840 2336457645 | +| 14 | BinomialMinus:Std | RowLcm | missing | 1 1 6 30 140 630 5544 60060 51480 1531530 25865840 23279256 486748080 2230928700 6177956400 | +| 15 | BinomialMinus:Std | RowMax | A088218 | 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | +| 16 | BinomialMinus:Std | ColMiddle | A081204 | 1 1 2 3 10 15 56 84 330 495 2002 3003 12376 18564 77520 116280 490314 735471 3124550 4686825 | +| 17 | BinomialMinus:Std | CentralE | A165817 | 1 2 10 56 330 2002 12376 77520 490314 3124550 20030010 129024480 834451800 5414950296 35240152720 | +| 18 | BinomialMinus:Std | CentralO | A005809 | 1 3 15 84 495 3003 18564 116280 735471 4686825 30045015 193536720 1251677700 8122425444 52860229080 | +| 19 | BinomialMinus:Std | ColRight | A088218 | 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | +| 20 | BinomialMinus:Std | BinConv | A123164 | 1 2 8 38 192 1002 5336 28814 157184 864146 4780008 26572086 148321344 830764794 4666890936 | +| 21 | BinomialMinus:Std | TransNat0 | A110609 | 0 1 8 45 224 1050 4752 21021 91520 393822 1679600 7113106 29953728 125550100 524190240 2181340125 | +| 22 | BinomialMinus:Std | TransNat1 | A034275 | 1 3 14 65 294 1302 5676 24453 104390 442442 1864356 7818538 32657884 135950700 564306840 2336457645 | +| 23 | BinomialMinus:Std | TransSqrs | missing | 0 1 14 117 784 4650 25542 133133 668096 3257982 15536300 72772546 335909664 1531711220 6912758790 | +| 24 | BinomialMinus:Std | PosHalf | A032443 | 1 3 11 42 163 638 2510 9908 39203 155382 616666 2449868 9740686 38754732 154276028 614429672 | +| 25 | BinomialMinus:Std | NegHalf | missing | 1 -1 3 2 19 54 222 804 3075 11630 44458 170268 654766 2524508 9758556 37802952 146724579 570450078 | +| 26 | BinomialMinus:Std | DiagRow1 | A000984 | 1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 40116600 155117520 601080390 | +| 27 | BinomialMinus:Std | DiagRow2 | A001700 | 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | +| 28 | BinomialMinus:Std | DiagRow3 | B001791 | 1 4 15 56 210 792 3003 11440 43758 167960 646646 2496144 9657700 37442160 145422675 565722720 | +| 29 | BinomialMinus:Std | DiagCol1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 30 | BinomialMinus:Std | DiagCol2 | B000217 | 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 31 | BinomialMinus:Std | DiagCol3 | B000292 | 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 2925 3276 | +| 32 | BinomialMinus:Std | Poly | missing | 1 1 1 1 2 1 1 6 3 1 1 20 17 4 1 1 70 111 34 5 1 1 252 769 334 57 6 1 1 924 5503 3478 749 86 7 1 1 | +| 33 | BinomialMinus:Std | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 34 | BinomialMinus:Std | PolyRow2 | A056109 | 1 6 17 34 57 86 121 162 209 262 321 386 457 534 617 706 801 902 1009 1122 1241 1366 1497 1634 1777 | +| 35 | BinomialMinus:Std | PolyRow3 | missing | 1 20 111 334 749 1416 2395 3746 5529 7804 10631 14070 18181 23024 28659 35146 42545 50916 60319 | +| 36 | BinomialMinus:Std | PolyCol2 | A119259 | 1 3 17 111 769 5503 40193 297727 2228225 16807935 127574017 973168639 7454392321 57298911231 | +| 37 | BinomialMinus:Std | PolyCol3 | missing | 1 4 34 334 3478 37384 409960 4558306 51199558 579554056 6600532684 75546800476 868224027916 | +| 38 | BinomialMinus:Std | PolyDiag | missing | 1 2 17 334 10417 442276 23690809 1530206742 115636017473 10004657077468 974950612575601 | +| 39 | BinomialMinus:Alt | Triangle | A027555 | 1 1 -1 1 -2 3 1 -3 6 -10 1 -4 10 -20 35 1 -5 15 -35 70 -126 1 -6 21 -56 126 -252 462 1 -7 28 -84 | +| 40 | BinomialMinus:Alt | Rev | A100100 | 1 -1 1 3 -2 1 -10 6 -3 1 35 -20 10 -4 1 -126 70 -35 15 -5 1 462 -252 126 -56 21 -6 1 -1716 924 -462 | +| 41 | BinomialMinus:Alt | InvRev | A098599 | 1 1 1 -1 2 1 1 0 3 1 -1 0 2 4 1 1 0 0 5 5 1 -1 0 0 2 9 6 1 1 0 0 0 7 14 7 1 -1 0 0 0 2 16 20 8 1 1 | +| 42 | BinomialMinus:Alt | Acc | A201635 | 1 1 0 1 -1 2 1 -2 4 -6 1 -3 7 -13 22 1 -4 11 -24 46 -80 1 -5 16 -40 86 -166 296 1 -6 22 -62 148 | +| 43 | BinomialMinus:Alt | AccRev | missing | 1 -1 0 3 1 2 -10 -4 -7 -6 35 15 25 21 22 -126 -56 -91 -76 -81 -80 462 210 336 280 301 295 296 -1716 | +| 44 | BinomialMinus:Alt | AntiDiag | missing | 1 1 1 -1 1 -2 1 -3 3 1 -4 6 1 -5 10 -10 1 -6 15 -20 1 -7 21 -35 35 1 -8 28 -56 70 1 -9 36 -84 126 | +| 45 | BinomialMinus:Alt | Diffx1 | missing | 1 1 -2 1 -4 9 1 -6 18 -40 1 -8 30 -80 175 1 -10 45 -140 350 -756 1 -12 63 -224 630 -1512 3234 1 -14 | +| 46 | BinomialMinus:Alt | RowSum | A072547 | 1 0 2 -6 22 -80 296 -1106 4166 -15792 60172 -230252 884236 -3406104 13154948 -50922986 197519942 | +| 47 | BinomialMinus:Alt | EvenSum | missing | 1 1 4 7 46 86 610 1163 8518 16414 122464 237590 1794196 3497248 26635774 52097267 399300166 | +| 48 | BinomialMinus:Alt | OddSum | missing | 0 -1 -2 -13 -24 -166 -314 -2269 -4352 -32206 -62292 -467842 -909960 -6903352 -13480826 -103020253 | +| 49 | BinomialMinus:Alt | AltSum | A000984 | 1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 40116600 155117520 601080390 | +| 50 | BinomialMinus:Alt | DiagSum | B037952 | 1 1 0 -1 1 3 -4 -10 15 35 -56 -126 210 462 -792 -1716 3003 6435 -11440 -24310 43758 92378 -167960 | +| 51 | BinomialMinus:Alt | AccSum | missing | 1 1 2 -3 14 -50 188 -707 2678 -10194 38972 -149534 575548 -2221232 8592656 -33308771 129355430 | +| 52 | BinomialMinus:Alt | AccRevSum | missing | 1 -1 6 -27 118 -510 2180 -9247 38982 -163518 683092 -2843742 11803756 -48870328 201886512 | +| 53 | BinomialMinus:Alt | RowLcm | missing | 1 1 6 30 140 630 5544 60060 51480 1531530 25865840 23279256 486748080 2230928700 6177956400 | +| 54 | BinomialMinus:Alt | RowMax | A088218 | 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | +| 55 | BinomialMinus:Alt | ColMiddle | A081204 | 1 1 -2 -3 10 15 -56 -84 330 495 -2002 -3003 12376 18564 -77520 -116280 490314 735471 -3124550 | +| 56 | BinomialMinus:Alt | CentralE | A165817 | 1 -2 10 -56 330 -2002 12376 -77520 490314 -3124550 20030010 -129024480 834451800 -5414950296 | +| 57 | BinomialMinus:Alt | CentralO | A005809 | 1 -3 15 -84 495 -3003 18564 -116280 735471 -4686825 30045015 -193536720 1251677700 -8122425444 | +| 58 | BinomialMinus:Alt | ColRight | A088218 | 1 -1 3 -10 35 -126 462 -1716 6435 -24310 92378 -352716 1352078 -5200300 20058300 -77558760 | +| 59 | BinomialMinus:Alt | InvBinConv | A123164 | 1 -2 8 -38 192 -1002 5336 -28814 157184 -864146 4780008 -26572086 148321344 -830764794 4666890936 | +| 60 | BinomialMinus:Alt | TransNat0 | missing | 0 -1 4 -21 96 -430 1884 -8141 34816 -147726 622920 -2613490 10919520 -45464224 188731564 -781459005 | +| 61 | BinomialMinus:Alt | TransNat1 | missing | 1 -1 6 -27 118 -510 2180 -9247 38982 -163518 683092 -2843742 11803756 -48870328 201886512 | +| 62 | BinomialMinus:Alt | TransSqrs | missing | 0 -1 10 -69 416 -2290 11922 -59661 289984 -1378206 6434660 -29611186 134641872 -606065356 | +| 63 | BinomialMinus:Alt | PosHalf | missing | 1 1 3 -2 19 -54 222 -804 3075 -11630 44458 -170268 654766 -2524508 9758556 -37802952 146724579 | +| 64 | BinomialMinus:Alt | NegHalf | A032443 | 1 -3 11 -42 163 -638 2510 -9908 39203 -155382 616666 -2449868 9740686 -38754732 154276028 | +| 65 | BinomialMinus:Alt | DiagRow1 | A000984 | 1 -2 6 -20 70 -252 924 -3432 12870 -48620 184756 -705432 2704156 -10400600 40116600 -155117520 | +| 66 | BinomialMinus:Alt | DiagRow2 | A001700 | 1 -3 10 -35 126 -462 1716 -6435 24310 -92378 352716 -1352078 5200300 -20058300 77558760 -300540195 | +| 67 | BinomialMinus:Alt | DiagRow3 | B158500 | 1 -4 15 -56 210 -792 3003 -11440 43758 -167960 646646 -2496144 9657700 -37442160 145422675 | +| 68 | BinomialMinus:Alt | DiagCol1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | +| 69 | BinomialMinus:Alt | DiagCol2 | B000217 | 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 70 | BinomialMinus:Alt | DiagCol3 | B000292 | -10 -20 -35 -56 -84 -120 -165 -220 -286 -364 -455 -560 -680 -816 -969 -1140 -1330 -1540 -1771 -2024 | +| 71 | BinomialMinus:Alt | Poly | missing | 1 1 1 1 0 1 1 2 -1 1 1 -6 9 -2 1 1 22 -61 22 -3 1 1 -80 433 -224 41 -4 1 1 296 -3141 2374 -555 66 | +| 72 | BinomialMinus:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 73 | BinomialMinus:Alt | PolyRow2 | A056105 | 1 2 9 22 41 66 97 134 177 226 281 342 409 482 561 646 737 834 937 1046 1161 1282 1409 1542 1681 | +| 74 | BinomialMinus:Alt | PolyRow3 | missing | 1 -6 -61 -224 -555 -1114 -1961 -3156 -4759 -6830 -9429 -12616 -16451 -20994 -26305 -32444 -39471 | +| 75 | BinomialMinus:Alt | PolyCol2 | missing | 1 -1 9 -61 433 -3141 23145 -172509 1296993 -9817909 74726809 -571326669 4384519441 -33755202469 | +| 76 | BinomialMinus:Alt | PolyCol3 | missing | 1 -2 22 -224 2374 -25772 284428 -3176588 35796550 -406214540 4635534292 -53141454896 611540448796 | +| 77 | BinomialMinus:Alt | PolyDiag | missing | 1 0 9 -224 7825 -354024 19747441 -1311780224 101189138625 -8893436141600 877481411735401 | +| 78 | BinomialMinus:Rev | Triangle | A100100 | 1 1 1 3 2 1 10 6 3 1 35 20 10 4 1 126 70 35 15 5 1 462 252 126 56 21 6 1 1716 924 462 210 84 28 7 1 | +| 79 | BinomialMinus:Rev | Inv | A098599 | 1 -1 1 -1 -2 1 -1 0 -3 1 -1 0 2 -4 1 -1 0 0 5 -5 1 -1 0 0 -2 9 -6 1 -1 0 0 0 -7 14 -7 1 -1 0 0 0 2 | +| 80 | BinomialMinus:Rev | RevInv | missing | 1 1 -1 1 -2 -1 1 -3 0 -1 1 -4 2 0 -1 1 -5 5 0 0 -1 1 -6 9 -2 0 0 -1 1 -7 14 -7 0 0 0 -1 1 -8 20 -16 | +| 81 | BinomialMinus:Rev | Acc | missing | 1 1 2 3 5 6 10 16 19 20 35 55 65 69 70 126 196 231 246 251 252 462 714 840 896 917 923 924 1716 | +| 82 | BinomialMinus:Rev | AccRev | A046899 | 1 1 2 1 3 6 1 4 10 20 1 5 15 35 70 1 6 21 56 126 252 1 7 28 84 210 462 924 1 8 36 120 330 792 1716 | +| 83 | BinomialMinus:Rev | AntiDiag | missing | 1 1 3 1 10 2 35 6 1 126 20 3 462 70 10 1 1716 252 35 4 6435 924 126 15 1 24310 3432 462 56 5 92378 | +| 84 | BinomialMinus:Rev | Diffx1 | missing | 1 1 2 3 4 3 10 12 9 4 35 40 30 16 5 126 140 105 60 25 6 462 504 378 224 105 36 7 1716 1848 1386 840 | +| 85 | BinomialMinus:Rev | RowSum | A000984 | 1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 40116600 155117520 601080390 | +| 86 | BinomialMinus:Rev | EvenSum | A026641 | 1 1 4 13 46 166 610 2269 8518 32206 122464 467842 1794196 6903352 26635774 103020253 399300166 | +| 87 | BinomialMinus:Rev | OddSum | A014300 | 0 1 2 7 24 86 314 1163 4352 16414 62292 237590 909960 3497248 13480826 52097267 201780224 783051638 | +| 88 | BinomialMinus:Rev | AltSum | A072547 | 1 0 2 6 22 80 296 1106 4166 15792 60172 230252 884236 3406104 13154948 50922986 197519942 767502944 | +| 89 | BinomialMinus:Rev | DiagSum | A100217 | 1 1 4 12 42 149 543 2007 7501 28265 107196 408653 1564506 6010964 23164467 89501021 346588092 | +| 90 | BinomialMinus:Rev | AccSum | A034275 | 1 3 14 65 294 1302 5676 24453 104390 442442 1864356 7818538 32657884 135950700 564306840 2336457645 | +| 91 | BinomialMinus:Rev | AccRevSum | A001700 | 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | +| 92 | BinomialMinus:Rev | RowLcm | missing | 1 1 6 30 140 630 5544 60060 51480 1531530 25865840 23279256 486748080 2230928700 6177956400 | +| 93 | BinomialMinus:Rev | RowMax | A088218 | 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | +| 94 | BinomialMinus:Rev | ColMiddle | missing | 1 1 2 6 10 35 56 210 330 1287 2002 8008 12376 50388 77520 319770 490314 2042975 3124550 13123110 | +| 95 | BinomialMinus:Rev | CentralE | A165817 | 1 2 10 56 330 2002 12376 77520 490314 3124550 20030010 129024480 834451800 5414950296 35240152720 | +| 96 | BinomialMinus:Rev | CentralO | A117671 | 1 6 35 210 1287 8008 50388 319770 2042975 13123110 84672315 548354040 3562467300 23206929840 | +| 97 | BinomialMinus:Rev | ColLeft | A088218 | 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | +| 98 | BinomialMinus:Rev | BinConv | A123164 | 1 2 8 38 192 1002 5336 28814 157184 864146 4780008 26572086 148321344 830764794 4666890936 | +| 99 | BinomialMinus:Rev | TransNat0 | A001791 | 0 1 4 15 56 210 792 3003 11440 43758 167960 646646 2496144 9657700 37442160 145422675 565722720 | +| 100 | BinomialMinus:Rev | TransNat1 | A001700 | 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | +| 101 | BinomialMinus:Rev | TransSqrs | A220101 | 0 1 6 27 112 450 1782 7007 27456 107406 419900 1641486 6418656 25110020 98285670 384942375 | +| 102 | BinomialMinus:Rev | PosHalf | A119259 | 1 3 17 111 769 5503 40193 297727 2228225 16807935 127574017 973168639 7454392321 57298911231 | +| 103 | BinomialMinus:Rev | NegHalf | missing | 1 -1 9 -61 433 -3141 23145 -172509 1296993 -9817909 74726809 -571326669 4384519441 -33755202469 | +| 104 | BinomialMinus:Rev | DiagRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 105 | BinomialMinus:Rev | DiagRow2 | B000217 | 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 106 | BinomialMinus:Rev | DiagRow3 | B000292 | 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 2925 3276 | +| 107 | BinomialMinus:Rev | DiagCol1 | A000984 | 1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 40116600 155117520 601080390 | +| 108 | BinomialMinus:Rev | DiagCol2 | A001700 | 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | +| 109 | BinomialMinus:Rev | DiagCol3 | B001791 | 1 4 15 56 210 792 3003 11440 43758 167960 646646 2496144 9657700 37442160 145422675 565722720 | +| 110 | BinomialMinus:Rev | Poly | missing | 1 1 1 3 2 1 10 6 3 1 35 20 11 4 1 126 70 42 18 5 1 462 252 163 82 27 6 1 1716 924 638 374 146 38 7 | +| 111 | BinomialMinus:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 112 | BinomialMinus:Rev | PolyRow2 | A183199 | 3 6 11 18 27 38 51 66 83 102 123 146 171 198 227 258 291 326 363 402 443 486 531 578 627 678 731 | +| 113 | BinomialMinus:Rev | PolyRow3 | missing | 10 20 42 82 146 240 370 542 762 1036 1370 1770 2242 2792 3426 4150 4970 5892 6922 8066 9330 10720 | +| 114 | BinomialMinus:Rev | PolyCol2 | A032443 | 1 3 11 42 163 638 2510 9908 39203 155382 616666 2449868 9740686 38754732 154276028 614429672 | +| 115 | BinomialMinus:Rev | PolyCol3 | A100192 | 1 4 18 82 374 1704 7752 35214 159750 723880 3276908 14821668 66991436 302605528 1366182276 | +| 116 | BinomialMinus:Rev | PolyDiag | A293574 | 1 2 11 82 787 9476 139134 2422218 48824675 1118286172 28679699578 814027423892 25330145185646 | +| 117 | BinomialMinus:Rev:Inv | Triangle | A098599 | 1 -1 1 -1 -2 1 -1 0 -3 1 -1 0 2 -4 1 -1 0 0 5 -5 1 -1 0 0 -2 9 -6 1 -1 0 0 0 -7 14 -7 1 -1 0 0 0 2 | +| 118 | BinomialMinus:Rev:Inv | Rev | missing | 1 1 -1 1 -2 -1 1 -3 0 -1 1 -4 2 0 -1 1 -5 5 0 0 -1 1 -6 9 -2 0 0 -1 1 -7 14 -7 0 0 0 -1 1 -8 20 -16 | +| 119 | BinomialMinus:Rev:Inv | Inv | A100100 | 1 1 1 3 2 1 10 6 3 1 35 20 10 4 1 126 70 35 15 5 1 462 252 126 56 21 6 1 1716 924 462 210 84 28 7 1 | +| 120 | BinomialMinus:Rev:Inv | RevInv | A027555 | 1 1 1 1 2 3 1 3 6 10 1 4 10 20 35 1 5 15 35 70 126 1 6 21 56 126 252 462 1 7 28 84 210 462 924 1716 | +| 121 | BinomialMinus:Rev:Inv | InvRev | missing | 1 -1 1 -3 2 1 -4 3 0 1 1 0 -2 0 1 9 -5 -5 0 0 1 12 -6 -9 2 0 0 1 6 0 -14 7 0 0 0 1 -15 16 -16 16 -2 | +| 122 | BinomialMinus:Rev:Inv | Acc | missing | 1 -1 0 -1 -3 -2 -1 -1 -4 -3 -1 -1 1 -3 -2 -1 -1 -1 4 -1 0 -1 -1 -1 -3 6 0 1 -1 -1 -1 -1 -8 6 -1 0 | +| 123 | BinomialMinus:Rev:Inv | AccRev | missing | 1 1 0 1 -1 -2 1 -2 -2 -3 1 -3 -1 -1 -2 1 -4 1 1 1 0 1 -5 4 2 2 2 1 1 -6 8 1 1 1 1 0 1 -7 13 -3 -1 | +| 124 | BinomialMinus:Rev:Inv | AntiDiag | missing | 1 -1 -1 1 -1 -2 -1 0 1 -1 0 -3 -1 0 2 1 -1 0 0 -4 -1 0 0 5 1 -1 0 0 -2 -5 -1 0 0 0 9 1 -1 0 0 0 -7 | +| 125 | BinomialMinus:Rev:Inv | Diffx1 | missing | 1 -1 2 -1 -4 3 -1 0 -9 4 -1 0 6 -16 5 -1 0 0 20 -25 6 -1 0 0 -8 45 -36 7 -1 0 0 0 -35 84 -49 8 -1 0 | +| 126 | BinomialMinus:Rev:Inv | RowSum | A079757 | 1 0 -2 -3 -2 0 1 0 -2 -3 -2 0 1 0 -2 -3 -2 0 1 0 -2 -3 -2 0 1 0 -2 -3 -2 0 1 0 | +| 127 | BinomialMinus:Rev:Inv | EvenSum | missing | 1 -1 0 -4 2 -6 9 -15 22 -40 60 -100 161 -261 420 -684 1102 -1786 2889 -4675 7562 -12240 19800 | +| 128 | BinomialMinus:Rev:Inv | OddSum | A366043 | 0 1 -2 1 -4 6 -8 15 -24 37 -62 100 -160 261 -422 681 -1104 1786 -2888 4675 -7564 12237 -19802 32040 | +| 129 | BinomialMinus:Rev:Inv | AltSum | A098600 | 1 -2 2 -5 6 -12 17 -30 46 -77 122 -200 321 -522 842 -1365 2206 -3572 5777 -9350 15126 -24477 39602 | +| 130 | BinomialMinus:Rev:Inv | DiagSum | A098601 | 1 -1 0 -3 0 -4 2 -5 5 -8 9 -14 16 -24 29 -41 52 -71 92 -124 162 -217 285 -380 501 -666 880 -1168 | +| 131 | BinomialMinus:Rev:Inv | AccSum | missing | 1 -1 -6 -9 -6 0 1 -7 -18 -21 -12 0 1 -13 -30 -33 -18 0 1 -19 -42 -45 -24 0 1 -25 -54 -57 -30 0 1 | +| 132 | BinomialMinus:Rev:Inv | AccRevSum | B110666 | 1 1 -2 -6 -6 0 7 7 -2 -12 -12 0 13 13 -2 -18 -18 0 19 19 -2 -24 -24 0 25 25 -2 -30 -30 0 31 31 | +| 133 | BinomialMinus:Rev:Inv | RowLcm | missing | 1 1 2 3 4 5 18 14 80 270 350 1540 15120 5460 32340 207900 960960 1021020 1621620 2282280 40840800 | +| 134 | BinomialMinus:Rev:Inv | RowGcd | A014963 | 1 1 2 3 2 5 1 7 2 3 1 11 1 13 1 1 2 17 1 19 1 1 1 23 1 5 1 3 1 29 1 31 | +| 135 | BinomialMinus:Rev:Inv | RowMax | B277282 | 1 1 2 3 4 5 9 14 20 30 50 77 112 182 294 450 672 1122 1782 2717 4290 7007 11011 16744 27456 44200 | +| 136 | BinomialMinus:Rev:Inv | ColMiddle | A084099 | 1 -1 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 | +| 137 | BinomialMinus:Rev:Inv | CentralE | A036452 | 1 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 | +| 138 | BinomialMinus:Rev:Inv | BinConv | missing | 1 0 -4 -9 -4 25 59 0 -260 -495 221 2662 4091 -4394 -27444 -32609 65276 280041 236741 -864234 | +| 139 | BinomialMinus:Rev:Inv | InvBinConv | missing | 1 2 4 11 28 77 211 590 1660 4709 13429 38480 110683 319412 924340 2681411 7794940 22702397 66229213 | +| 140 | BinomialMinus:Rev:Inv | TransNat0 | A110665 | 0 1 0 -3 -4 0 6 7 0 -9 -10 0 12 13 0 -15 -16 0 18 19 0 -21 -22 0 24 25 0 -27 -28 0 30 31 | +| 141 | BinomialMinus:Rev:Inv | TransNat1 | B110666 | 1 1 -2 -6 -6 0 7 7 -2 -12 -12 0 13 13 -2 -18 -18 0 19 19 -2 -24 -24 0 25 25 -2 -30 -30 0 31 31 | +| 142 | BinomialMinus:Rev:Inv | TransSqrs | missing | 0 1 2 -3 -12 -10 12 35 24 -27 -70 -44 48 117 70 -75 -176 -102 108 247 140 -147 -330 -184 192 425 | +| 143 | BinomialMinus:Rev:Inv | PosHalf | missing | 1 -1 -7 -13 -15 -21 -55 -141 -287 -517 -967 -1981 -4143 -8373 -16471 -32493 -65087 -131173 -263143 | +| 144 | BinomialMinus:Rev:Inv | NegHalf | B080924 | 1 3 1 15 1 63 1 255 1 1023 1 4095 1 16383 1 65535 1 262143 1 1048575 1 4194303 1 16777215 1 | +| 145 | BinomialMinus:Rev:Inv | DiagRow1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | +| 146 | BinomialMinus:Rev:Inv | DiagRow2 | A000096 | -1 0 2 5 9 14 20 27 35 44 54 65 77 90 104 119 135 152 170 189 209 230 252 275 299 324 350 377 405 | +| 147 | BinomialMinus:Rev:Inv | DiagRow3 | A005581 | -1 0 0 -2 -7 -16 -30 -50 -77 -112 -156 -210 -275 -352 -442 -546 -665 -800 -952 -1122 -1311 -1520 | +| 148 | BinomialMinus:Rev:Inv | DiagCol1 | A130706 | 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 149 | BinomialMinus:Rev:Inv | DiagCol2 | B000007 | 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 150 | BinomialMinus:Rev:Inv | DiagCol3 | B355682 | 1 -4 5 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 151 | BinomialMinus:Rev:Inv | Poly | missing | 1 -1 1 -1 0 1 -1 -2 1 1 -1 -3 -1 2 1 -1 -2 -5 2 3 1 -1 0 -9 -1 7 4 1 -1 1 -9 -10 15 14 5 1 -1 0 -1 | +| 152 | BinomialMinus:Rev:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 153 | BinomialMinus:Rev:Inv | PolyRow2 | B008865 | -1 -2 -1 2 7 14 23 34 47 62 79 98 119 142 167 194 223 254 287 322 359 398 439 482 527 574 623 674 | +| 154 | BinomialMinus:Rev:Inv | PolyRow3 | missing | -1 -3 -5 -1 15 49 107 195 319 485 699 967 1295 1689 2155 2699 3327 4045 4859 5775 6799 7937 9195 | +| 155 | BinomialMinus:Rev:Inv | PolyCol2 | B321632 | 1 1 -1 -5 -9 -9 -1 15 31 31 -1 -65 -129 -129 -1 255 511 511 -1 -1025 -2049 -2049 -1 4095 8191 8191 | +| 156 | BinomialMinus:Rev:Inv | PolyCol3 | missing | 1 2 2 -1 -10 -28 -55 -82 -82 -1 242 728 1457 2186 2186 -1 -6562 -19684 -39367 -59050 -59050 -1 | +| 157 | BinomialMinus:Rev:Inv | PolyDiag | missing | 1 0 -1 -1 31 624 11231 218490 4726783 113728373 3024799999 88296371800 2809506373631 96841104004956 | \ No newline at end of file diff --git a/data/md/BinomialMinus.tbl.md b/data/md/BinomialMinus.tbl.md new file mode 100644 index 0000000..7a5619b --- /dev/null +++ b/data/md/BinomialMinus.tbl.md @@ -0,0 +1,366 @@ +# BinomialMinus +['A059481', 'A027555'] + +BinomialMinus Triangle view + +| Row | Seq | +| :--- | :--- | +| Row0 | [1] | +| Row1 | [1, 1] | +| Row2 | [1, 2, 3] | +| Row3 | [1, 3, 6, 10] | +| Row4 | [1, 4, 10, 20, 35] | +| Row5 | [1, 5, 15, 35, 70, 126] | +| Row6 | [1, 6, 21, 56, 126, 252, 462] | +| Row7 | [1, 7, 28, 84, 210, 462, 924, 1716] | +| Row8 | [1, 8, 36, 120, 330, 792, 1716, 3432, 6435] | +| Row9 | [1, 9, 45, 165, 495, 1287, 3003, 6435, 12870, 24310] | + +BinomialMinus Triangles + +| Flat | Seq | +| :--- | :--- | +| Triangle | [[1], [1, 1], [1, 2, 3], [1, 3, 6, 10], [1, 4, 10, 20, 35], [1, 5, 15, 35, 70, 126], [1, 6, 21, 56, 126, 252, 462], [1, 7, 28, 84, 210, 462, 924, 1716], [1, 8, 36, 120, 330, 792, 1716, 3432, 6435], [1, 9, 45, 165, 495, 1287, 3003, 6435, 12870, 24310]] | +| RevTabl | [[1], [1, 1], [3, 2, 1], [10, 6, 3, 1], [35, 20, 10, 4, 1], [126, 70, 35, 15, 5, 1], [462, 252, 126, 56, 21, 6, 1], [1716, 924, 462, 210, 84, 28, 7, 1], [6435, 3432, 1716, 792, 330, 120, 36, 8, 1], [24310, 12870, 6435, 3003, 1287, 495, 165, 45, 9, 1]] | +| AntiDiag | [[1], [1], [1, 1], [1, 2], [1, 3, 3], [1, 4, 6], [1, 5, 10, 10], [1, 6, 15, 20], [1, 7, 21, 35, 35], [1, 8, 28, 56, 70]] | +| AccTabl | [[1], [1, 2], [1, 3, 6], [1, 4, 10, 20], [1, 5, 15, 35, 70], [1, 6, 21, 56, 126, 252], [1, 7, 28, 84, 210, 462, 924], [1, 8, 36, 120, 330, 792, 1716, 3432], [1, 9, 45, 165, 495, 1287, 3003, 6435, 12870], [1, 10, 55, 220, 715, 2002, 5005, 11440, 24310, 48620]] | +| RevAccTabl | [[1], [2, 1], [6, 3, 1], [20, 10, 4, 1], [70, 35, 15, 5, 1], [252, 126, 56, 21, 6, 1], [924, 462, 210, 84, 28, 7, 1], [3432, 1716, 792, 330, 120, 36, 8, 1], [12870, 6435, 3003, 1287, 495, 165, 45, 9, 1], [48620, 24310, 11440, 5005, 2002, 715, 220, 55, 10, 1]] | +| AccRevTabl | [[1], [1, 2], [3, 5, 6], [10, 16, 19, 20], [35, 55, 65, 69, 70], [126, 196, 231, 246, 251, 252], [462, 714, 840, 896, 917, 923, 924], [1716, 2640, 3102, 3312, 3396, 3424, 3431, 3432], [6435, 9867, 11583, 12375, 12705, 12825, 12861, 12869, 12870], [24310, 37180, 43615, 46618, 47905, 48400, 48565, 48610, 48619, 48620]] | +| DiffxTabl | [[1], [1, 2], [1, 4, 9], [1, 6, 18, 40], [1, 8, 30, 80, 175], [1, 10, 45, 140, 350, 756], [1, 12, 63, 224, 630, 1512, 3234], [1, 14, 84, 336, 1050, 2772, 6468, 13728], [1, 16, 108, 480, 1650, 4752, 12012, 27456, 57915], [1, 18, 135, 660, 2475, 7722, 21021, 51480, 115830, 243100]] | + +BinomialMinus Row sums + +| Trait | Seq | +| :--- | :--- | +| RowSum | [1, 2, 6, 20, 70, 252, 924, 3432, 12870, 48620] | +| EvenSum | [1, 1, 4, 7, 46, 86, 610, 1163, 8518, 16414] | +| OddSum | [0, 1, 2, 13, 24, 166, 314, 2269, 4352, 32206] | +| AltSum | [1, 0, 2, -6, 22, -80, 296, -1106, 4166, -15792] | +| AccSum | [1, 3, 10, 35, 126, 462, 1716, 6435, 24310, 92378] | +| AccRevSum | [1, 3, 14, 65, 294, 1302, 5676, 24453, 104390, 442442] | +| DiagSum | [1, 1, 2, 3, 7, 11, 26, 42, 99, 163] | + +BinomialMinus Transforms + +| Trans | Seq | +| :--- | :--- | +| RowLcm | [1, 1, 6, 30, 140, 630, 5544, 60060, 51480, 1531530] | +| RowGcd | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | +| RowMax | [1, 1, 3, 10, 35, 126, 462, 1716, 6435, 24310] | +| CentralE | [1, 2, 10, 56, 330] | +| CentralO | [1, 3, 15, 84, 495] | +| ColMiddle | [1, 1, 2, 3, 10, 15, 56, 84, 330, 495] | +| ColLeft | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | +| ColRight | [1, 1, 3, 10, 35, 126, 462, 1716, 6435, 24310] | +| BinConv | [1, 2, 8, 38, 192, 1002, 5336, 28814, 157184, 864146] | +| InvBinConv | [1, 0, 0, 0, 0, 0, 0, 0, 0, 0] | +| TransSqrs | [0, 1, 14, 117, 784, 4650, 25542, 133133, 668096, 3257982] | +| TransNat0 | [0, 1, 8, 45, 224, 1050, 4752, 21021, 91520, 393822] | +| TransNat1 | [1, 3, 14, 65, 294, 1302, 5676, 24453, 104390, 442442] | +| PosHalf | [1, 3, 11, 42, 163, 638, 2510, 9908, 39203, 155382] | +| NegHalf | [1, -1, 3, 2, 19, 54, 222, 804, 3075, 11630] | + +BinomialMinus Diagonals as rows + +| DiagRow | Seq | +| :--- | :--- | +| DiagRow0 | [1, 1, 3, 10, 35, 126, 462, 1716, 6435, 24310]| +| DiagRow1 | [1, 2, 6, 20, 70, 252, 924, 3432, 12870, 48620]| +| DiagRow2 | [1, 3, 10, 35, 126, 462, 1716, 6435, 24310, 92378]| +| DiagRow3 | [1, 4, 15, 56, 210, 792, 3003, 11440, 43758, 167960]| +| DiagRow4 | [1, 5, 21, 84, 330, 1287, 5005, 19448, 75582, 293930]| +| DiagRow5 | [1, 6, 28, 120, 495, 2002, 8008, 31824, 125970, 497420]| +| DiagRow6 | [1, 7, 36, 165, 715, 3003, 12376, 50388, 203490, 817190]| +| DiagRow7 | [1, 8, 45, 220, 1001, 4368, 18564, 77520, 319770, 1307504]| +| DiagRow8 | [1, 9, 55, 286, 1365, 6188, 27132, 116280, 490314, 2042975]| +| DiagRow9 | [1, 10, 66, 364, 1820, 8568, 38760, 170544, 735471, 3124550]| + +BinomialMinus Diagonals as columns + +| DiagCol | Seq | +| :--- | :--- | +| DiagCol0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | +| DiagCol1 | [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] | +| DiagCol2 | [3, 6, 10, 15, 21, 28, 36, 45, 55, 66] | +| DiagCol3 | [10, 20, 35, 56, 84, 120, 165, 220, 286, 364] | +| DiagCol4 | [35, 70, 126, 210, 330, 495, 715, 1001, 1365, 1820] | +| DiagCol5 | [126, 252, 462, 792, 1287, 2002, 3003, 4368, 6188, 8568] | +| DiagCol6 | [462, 924, 1716, 3003, 5005, 8008, 12376, 18564, 27132, 38760] | +| DiagCol7 | [1716, 3432, 6435, 11440, 19448, 31824, 50388, 77520, 116280, 170544] | +| DiagCol8 | [6435, 12870, 24310, 43758, 75582, 125970, 203490, 319770, 490314, 735471] | +| DiagCol9 | [24310, 48620, 92378, 167960, 293930, 497420, 817190, 1307504, 2042975, 3124550] | + +BinomialMinus Polynomial values as rows + +| PolyRow | Seq | +| :--- | :--- | +| PolyRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | +| PolyRow1 | [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] | +| PolyRow2 | [1, 6, 17, 34, 57, 86, 121, 162, 209, 262] | +| PolyRow3 | [1, 20, 111, 334, 749, 1416, 2395, 3746, 5529, 7804] | +| PolyRow4 | [1, 70, 769, 3478, 10417, 24646, 50065, 91414, 154273, 245062] | +| PolyRow5 | [1, 252, 5503, 37384, 149445, 442276, 1078627, 2298528, 4434409, 7926220] | +| PolyRow6 | [1, 924, 40193, 409960, 2186601, 8092556, 23690809, 58912008, 129914225, 261275356] | +| PolyRow7 | [1, 3432, 297727, 4558306, 32432349, 150086236, 527364187, 1530206742, 3856977721, 8727348304] | +| PolyRow8 | [1, 12870, 2228225, 51199558, 485886561, 2811306566, 11855744545, 40138926150, 115636017473, 294381774406] | +| PolyRow9 | [1, 48620, 16807935, 579554056, 7335356213, 53061821796, 268557630355, 1060864852160, 3493082416521, 10004657077468] | + +BinomialMinus Polynomial values as columns + +| PolyCol | Seq | +| :--- | :--- | +| PolyCol0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | +| PolyCol1 | [1, 2, 6, 20, 70, 252, 924, 3432, 12870, 48620] | +| PolyCol2 | [1, 3, 17, 111, 769, 5503, 40193, 297727, 2228225, 16807935] | +| PolyCol3 | [1, 4, 34, 334, 3478, 37384, 409960, 4558306, 51199558, 579554056] | +| PolyCol4 | [1, 5, 57, 749, 10417, 149445, 2186601, 32432349, 485886561, 7335356213] | +| PolyCol5 | [1, 6, 86, 1416, 24646, 442276, 8092556, 150086236, 2811306566, 53061821796] | +| PolyCol6 | [1, 7, 121, 2395, 50065, 1078627, 23690809, 527364187, 11855744545, 268557630355] | +| PolyCol7 | [1, 8, 162, 3746, 91414, 2298528, 58912008, 1530206742, 40138926150, 1060864852160] | +| PolyCol8 | [1, 9, 209, 5529, 154273, 4434409, 129914225, 3856977721, 115636017473, 3493082416521] | +| PolyCol9 | [1, 10, 262, 7804, 245062, 7926220, 261275356, 8727348304, 294381774406, 10004657077468] | + +# BinomialMinus:Rev +[] + +BinomialMinus:Rev Triangle view + +| Row | Seq | +| :--- | :--- | +| Row0 | [1] | +| Row1 | [1, 1] | +| Row2 | [3, 2, 1] | +| Row3 | [10, 6, 3, 1] | +| Row4 | [35, 20, 10, 4, 1] | +| Row5 | [126, 70, 35, 15, 5, 1] | +| Row6 | [462, 252, 126, 56, 21, 6, 1] | +| Row7 | [1716, 924, 462, 210, 84, 28, 7, 1] | +| Row8 | [6435, 3432, 1716, 792, 330, 120, 36, 8, 1] | +| Row9 | [24310, 12870, 6435, 3003, 1287, 495, 165, 45, 9, 1] | + +BinomialMinus:Rev Triangles + +| Flat | Seq | +| :--- | :--- | +| Triangle | [[1], [1, 1], [3, 2, 1], [10, 6, 3, 1], [35, 20, 10, 4, 1], [126, 70, 35, 15, 5, 1], [462, 252, 126, 56, 21, 6, 1], [1716, 924, 462, 210, 84, 28, 7, 1], [6435, 3432, 1716, 792, 330, 120, 36, 8, 1], [24310, 12870, 6435, 3003, 1287, 495, 165, 45, 9, 1]] | +| RevTabl | [[1], [1, 1], [1, 2, 3], [1, 3, 6, 10], [1, 4, 10, 20, 35], [1, 5, 15, 35, 70, 126], [1, 6, 21, 56, 126, 252, 462], [1, 7, 28, 84, 210, 462, 924, 1716], [1, 8, 36, 120, 330, 792, 1716, 3432, 6435], [1, 9, 45, 165, 495, 1287, 3003, 6435, 12870, 24310]] | +| AntiDiag | [[1], [1], [3, 1], [10, 2], [35, 6, 1], [126, 20, 3], [462, 70, 10, 1], [1716, 252, 35, 4], [6435, 924, 126, 15, 1], [24310, 3432, 462, 56, 5]] | +| AccTabl | [[1], [1, 2], [3, 5, 6], [10, 16, 19, 20], [35, 55, 65, 69, 70], [126, 196, 231, 246, 251, 252], [462, 714, 840, 896, 917, 923, 924], [1716, 2640, 3102, 3312, 3396, 3424, 3431, 3432], [6435, 9867, 11583, 12375, 12705, 12825, 12861, 12869, 12870], [24310, 37180, 43615, 46618, 47905, 48400, 48565, 48610, 48619, 48620]] | +| RevAccTabl | [[1], [2, 1], [6, 5, 3], [20, 19, 16, 10], [70, 69, 65, 55, 35], [252, 251, 246, 231, 196, 126], [924, 923, 917, 896, 840, 714, 462], [3432, 3431, 3424, 3396, 3312, 3102, 2640, 1716], [12870, 12869, 12861, 12825, 12705, 12375, 11583, 9867, 6435], [48620, 48619, 48610, 48565, 48400, 47905, 46618, 43615, 37180, 24310]] | +| AccRevTabl | [[1], [1, 2], [1, 3, 6], [1, 4, 10, 20], [1, 5, 15, 35, 70], [1, 6, 21, 56, 126, 252], [1, 7, 28, 84, 210, 462, 924], [1, 8, 36, 120, 330, 792, 1716, 3432], [1, 9, 45, 165, 495, 1287, 3003, 6435, 12870], [1, 10, 55, 220, 715, 2002, 5005, 11440, 24310, 48620]] | +| DiffxTabl | [[1], [1, 2], [3, 4, 3], [10, 12, 9, 4], [35, 40, 30, 16, 5], [126, 140, 105, 60, 25, 6], [462, 504, 378, 224, 105, 36, 7], [1716, 1848, 1386, 840, 420, 168, 49, 8], [6435, 6864, 5148, 3168, 1650, 720, 252, 64, 9], [24310, 25740, 19305, 12012, 6435, 2970, 1155, 360, 81, 10]] | + +BinomialMinus:Rev Row sums + +| Trait | Seq | +| :--- | :--- | +| RowSum | [1, 2, 6, 20, 70, 252, 924, 3432, 12870, 48620] | +| EvenSum | [1, 1, 4, 13, 46, 166, 610, 2269, 8518, 32206] | +| OddSum | [0, 1, 2, 7, 24, 86, 314, 1163, 4352, 16414] | +| AltSum | [1, 0, 2, 6, 22, 80, 296, 1106, 4166, 15792] | +| AccSum | [1, 3, 14, 65, 294, 1302, 5676, 24453, 104390, 442442] | +| AccRevSum | [1, 3, 10, 35, 126, 462, 1716, 6435, 24310, 92378] | +| DiagSum | [1, 1, 4, 12, 42, 149, 543, 2007, 7501, 28265] | + +BinomialMinus:Rev Transforms + +| Trans | Seq | +| :--- | :--- | +| RowLcm | [1, 1, 6, 30, 140, 630, 5544, 60060, 51480, 1531530] | +| RowGcd | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | +| RowMax | [1, 1, 3, 10, 35, 126, 462, 1716, 6435, 24310] | +| CentralE | [1, 2, 10, 56, 330] | +| CentralO | [1, 6, 35, 210, 1287] | +| ColMiddle | [1, 1, 2, 6, 10, 35, 56, 210, 330, 1287] | +| ColLeft | [1, 1, 3, 10, 35, 126, 462, 1716, 6435, 24310] | +| ColRight | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | +| BinConv | [1, 2, 8, 38, 192, 1002, 5336, 28814, 157184, 864146] | +| InvBinConv | [1, 0, 0, 0, 0, 0, 0, 0, 0, 0] | +| TransSqrs | [0, 1, 6, 27, 112, 450, 1782, 7007, 27456, 107406] | +| TransNat0 | [0, 1, 4, 15, 56, 210, 792, 3003, 11440, 43758] | +| TransNat1 | [1, 3, 10, 35, 126, 462, 1716, 6435, 24310, 92378] | +| PosHalf | [1, 3, 17, 111, 769, 5503, 40193, 297727, 2228225, 16807935] | +| NegHalf | [1, -1, 9, -61, 433, -3141, 23145, -172509, 1296993, -9817909] | + +BinomialMinus:Rev Diagonals as rows + +| DiagRow | Seq | +| :--- | :--- | +| DiagRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]| +| DiagRow1 | [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]| +| DiagRow2 | [3, 6, 10, 15, 21, 28, 36, 45, 55, 66]| +| DiagRow3 | [10, 20, 35, 56, 84, 120, 165, 220, 286, 364]| +| DiagRow4 | [35, 70, 126, 210, 330, 495, 715, 1001, 1365, 1820]| +| DiagRow5 | [126, 252, 462, 792, 1287, 2002, 3003, 4368, 6188, 8568]| +| DiagRow6 | [462, 924, 1716, 3003, 5005, 8008, 12376, 18564, 27132, 38760]| +| DiagRow7 | [1716, 3432, 6435, 11440, 19448, 31824, 50388, 77520, 116280, 170544]| +| DiagRow8 | [6435, 12870, 24310, 43758, 75582, 125970, 203490, 319770, 490314, 735471]| +| DiagRow9 | [24310, 48620, 92378, 167960, 293930, 497420, 817190, 1307504, 2042975, 3124550]| + +BinomialMinus:Rev Diagonals as columns + +| DiagCol | Seq | +| :--- | :--- | +| DiagCol0 | [1, 1, 3, 10, 35, 126, 462, 1716, 6435, 24310] | +| DiagCol1 | [1, 2, 6, 20, 70, 252, 924, 3432, 12870, 48620] | +| DiagCol2 | [1, 3, 10, 35, 126, 462, 1716, 6435, 24310, 92378] | +| DiagCol3 | [1, 4, 15, 56, 210, 792, 3003, 11440, 43758, 167960] | +| DiagCol4 | [1, 5, 21, 84, 330, 1287, 5005, 19448, 75582, 293930] | +| DiagCol5 | [1, 6, 28, 120, 495, 2002, 8008, 31824, 125970, 497420] | +| DiagCol6 | [1, 7, 36, 165, 715, 3003, 12376, 50388, 203490, 817190] | +| DiagCol7 | [1, 8, 45, 220, 1001, 4368, 18564, 77520, 319770, 1307504] | +| DiagCol8 | [1, 9, 55, 286, 1365, 6188, 27132, 116280, 490314, 2042975] | +| DiagCol9 | [1, 10, 66, 364, 1820, 8568, 38760, 170544, 735471, 3124550] | + +BinomialMinus:Rev Polynomial values as rows + +| PolyRow | Seq | +| :--- | :--- | +| PolyRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | +| PolyRow1 | [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] | +| PolyRow2 | [3, 6, 11, 18, 27, 38, 51, 66, 83, 102] | +| PolyRow3 | [10, 20, 42, 82, 146, 240, 370, 542, 762, 1036] | +| PolyRow4 | [35, 70, 163, 374, 787, 1510, 2675, 4438, 6979, 10502] | +| PolyRow5 | [126, 252, 638, 1704, 4230, 9476, 19302, 36288, 63854, 106380] | +| PolyRow6 | [462, 924, 2510, 7752, 22686, 59372, 139134, 296520, 583982, 1077276] | +| PolyRow7 | [1716, 3432, 9908, 35214, 121476, 371636, 1002372, 2422218, 5339924, 10908096] | +| PolyRow8 | [6435, 12870, 39203, 159750, 649731, 2324870, 7219395, 19783878, 48824675, 110447046] | +| PolyRow9 | [24310, 48620, 155382, 723880, 3472382, 14538660, 51988510, 161577632, 446406630, 1118286172] | + +BinomialMinus:Rev Polynomial values as columns + +| PolyCol | Seq | +| :--- | :--- | +| PolyCol0 | [1, 1, 3, 10, 35, 126, 462, 1716, 6435, 24310] | +| PolyCol1 | [1, 2, 6, 20, 70, 252, 924, 3432, 12870, 48620] | +| PolyCol2 | [1, 3, 11, 42, 163, 638, 2510, 9908, 39203, 155382] | +| PolyCol3 | [1, 4, 18, 82, 374, 1704, 7752, 35214, 159750, 723880] | +| PolyCol4 | [1, 5, 27, 146, 787, 4230, 22686, 121476, 649731, 3472382] | +| PolyCol5 | [1, 6, 38, 240, 1510, 9476, 59372, 371636, 2324870, 14538660] | +| PolyCol6 | [1, 7, 51, 370, 2675, 19302, 139134, 1002372, 7219395, 51988510] | +| PolyCol7 | [1, 8, 66, 542, 4438, 36288, 296520, 2422218, 19783878, 161577632] | +| PolyCol8 | [1, 9, 83, 762, 6979, 63854, 583982, 5339924, 48824675, 446406630] | +| PolyCol9 | [1, 10, 102, 1036, 10502, 106380, 1077276, 10908096, 110447046, 1118286172] | + +# BinomialMinus:Rev:Inv +[] + +BinomialMinus:Rev:Inv Triangle view + +| Row | Seq | +| :--- | :--- | +| Row0 | [1] | +| Row1 | [-1, 1] | +| Row2 | [-1, -2, 1] | +| Row3 | [-1, 0, -3, 1] | +| Row4 | [-1, 0, 2, -4, 1] | +| Row5 | [-1, 0, 0, 5, -5, 1] | +| Row6 | [-1, 0, 0, -2, 9, -6, 1] | +| Row7 | [-1, 0, 0, 0, -7, 14, -7, 1] | +| Row8 | [-1, 0, 0, 0, 2, -16, 20, -8, 1] | +| Row9 | [-1, 0, 0, 0, 0, 9, -30, 27, -9, 1] | + +BinomialMinus:Rev:Inv Triangles + +| Flat | Seq | +| :--- | :--- | +| Triangle | [[1], [-1, 1], [-1, -2, 1], [-1, 0, -3, 1], [-1, 0, 2, -4, 1], [-1, 0, 0, 5, -5, 1], [-1, 0, 0, -2, 9, -6, 1], [-1, 0, 0, 0, -7, 14, -7, 1], [-1, 0, 0, 0, 2, -16, 20, -8, 1], [-1, 0, 0, 0, 0, 9, -30, 27, -9, 1]] | +| RevTabl | [[1], [1, -1], [1, -2, -1], [1, -3, 0, -1], [1, -4, 2, 0, -1], [1, -5, 5, 0, 0, -1], [1, -6, 9, -2, 0, 0, -1], [1, -7, 14, -7, 0, 0, 0, -1], [1, -8, 20, -16, 2, 0, 0, 0, -1], [1, -9, 27, -30, 9, 0, 0, 0, 0, -1]] | +| AntiDiag | [[1], [-1], [-1, 1], [-1, -2], [-1, 0, 1], [-1, 0, -3], [-1, 0, 2, 1], [-1, 0, 0, -4], [-1, 0, 0, 5, 1], [-1, 0, 0, -2, -5]] | +| AccTabl | [[1], [-1, 0], [-1, -3, -2], [-1, -1, -4, -3], [-1, -1, 1, -3, -2], [-1, -1, -1, 4, -1, 0], [-1, -1, -1, -3, 6, 0, 1], [-1, -1, -1, -1, -8, 6, -1, 0], [-1, -1, -1, -1, 1, -15, 5, -3, -2], [-1, -1, -1, -1, -1, 8, -22, 5, -4, -3]] | +| RevAccTabl | [[1], [0, -1], [-2, -3, -1], [-3, -4, -1, -1], [-2, -3, 1, -1, -1], [0, -1, 4, -1, -1, -1], [1, 0, 6, -3, -1, -1, -1], [0, -1, 6, -8, -1, -1, -1, -1], [-2, -3, 5, -15, 1, -1, -1, -1, -1], [-3, -4, 5, -22, 8, -1, -1, -1, -1, -1]] | +| AccRevTabl | [[1], [1, 0], [1, -1, -2], [1, -2, -2, -3], [1, -3, -1, -1, -2], [1, -4, 1, 1, 1, 0], [1, -5, 4, 2, 2, 2, 1], [1, -6, 8, 1, 1, 1, 1, 0], [1, -7, 13, -3, -1, -1, -1, -1, -2], [1, -8, 19, -11, -2, -2, -2, -2, -2, -3]] | +| DiffxTabl | [[1], [-1, 2], [-1, -4, 3], [-1, 0, -9, 4], [-1, 0, 6, -16, 5], [-1, 0, 0, 20, -25, 6], [-1, 0, 0, -8, 45, -36, 7], [-1, 0, 0, 0, -35, 84, -49, 8], [-1, 0, 0, 0, 10, -96, 140, -64, 9], [-1, 0, 0, 0, 0, 54, -210, 216, -81, 10]] | + +BinomialMinus:Rev:Inv Row sums + +| Trait | Seq | +| :--- | :--- | +| RowSum | [1, 0, -2, -3, -2, 0, 1, 0, -2, -3] | +| EvenSum | [1, -1, 0, -4, 2, -6, 9, -15, 22, -40] | +| OddSum | [0, 1, -2, 1, -4, 6, -8, 15, -24, 37] | +| AltSum | [1, -2, 2, -5, 6, -12, 17, -30, 46, -77] | +| AccSum | [1, -1, -6, -9, -6, 0, 1, -7, -18, -21] | +| AccRevSum | [1, 1, -2, -6, -6, 0, 7, 7, -2, -12] | +| DiagSum | [1, -1, 0, -3, 0, -4, 2, -5, 5, -8] | + +BinomialMinus:Rev:Inv Transforms + +| Trans | Seq | +| :--- | :--- | +| RowLcm | [1, 1, 2, 3, 4, 5, 18, 14, 80, 270] | +| RowGcd | [1, 1, 2, 3, 2, 5, 1, 7, 2, 3] | +| RowMax | [1, 1, 2, 3, 4, 5, 9, 14, 20, 30] | +| CentralE | [1, -2, 2, -2, 2] | +| CentralO | [-1, 0, 0, 0, 0] | +| ColMiddle | [1, -1, -2, 0, 2, 0, -2, 0, 2, 0] | +| ColLeft | [1, -1, -1, -1, -1, -1, -1, -1, -1, -1] | +| ColRight | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | +| BinConv | [1, 0, -4, -9, -4, 25, 59, 0, -260, -495] | +| InvBinConv | [1, 2, 4, 11, 28, 77, 211, 590, 1660, 4709] | +| TransSqrs | [0, 1, 2, -3, -12, -10, 12, 35, 24, -27] | +| TransNat0 | [0, 1, 0, -3, -4, 0, 6, 7, 0, -9] | +| TransNat1 | [1, 1, -2, -6, -6, 0, 7, 7, -2, -12] | +| PosHalf | [1, -1, -7, -13, -15, -21, -55, -141, -287, -517] | +| NegHalf | [1, 3, 1, 15, 1, 63, 1, 255, 1, 1023] | + +BinomialMinus:Rev:Inv Diagonals as rows + +| DiagRow | Seq | +| :--- | :--- | +| DiagRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]| +| DiagRow1 | [-1, -2, -3, -4, -5, -6, -7, -8, -9, -10]| +| DiagRow2 | [-1, 0, 2, 5, 9, 14, 20, 27, 35, 44]| +| DiagRow3 | [-1, 0, 0, -2, -7, -16, -30, -50, -77, -112]| +| DiagRow4 | [-1, 0, 0, 0, 2, 9, 25, 55, 105, 182]| +| DiagRow5 | [-1, 0, 0, 0, 0, -2, -11, -36, -91, -196]| +| DiagRow6 | [-1, 0, 0, 0, 0, 0, 2, 13, 49, 140]| +| DiagRow7 | [-1, 0, 0, 0, 0, 0, 0, -2, -15, -64]| +| DiagRow8 | [-1, 0, 0, 0, 0, 0, 0, 0, 2, 17]| +| DiagRow9 | [-1, 0, 0, 0, 0, 0, 0, 0, 0, -2]| + +BinomialMinus:Rev:Inv Diagonals as columns + +| DiagCol | Seq | +| :--- | :--- | +| DiagCol0 | [1, -1, -1, -1, -1, -1, -1, -1, -1, -1] | +| DiagCol1 | [1, -2, 0, 0, 0, 0, 0, 0, 0, 0] | +| DiagCol2 | [1, -3, 2, 0, 0, 0, 0, 0, 0, 0] | +| DiagCol3 | [1, -4, 5, -2, 0, 0, 0, 0, 0, 0] | +| DiagCol4 | [1, -5, 9, -7, 2, 0, 0, 0, 0, 0] | +| DiagCol5 | [1, -6, 14, -16, 9, -2, 0, 0, 0, 0] | +| DiagCol6 | [1, -7, 20, -30, 25, -11, 2, 0, 0, 0] | +| DiagCol7 | [1, -8, 27, -50, 55, -36, 13, -2, 0, 0] | +| DiagCol8 | [1, -9, 35, -77, 105, -91, 49, -15, 2, 0] | +| DiagCol9 | [1, -10, 44, -112, 182, -196, 140, -64, 17, -2] | + +BinomialMinus:Rev:Inv Polynomial values as rows + +| PolyRow | Seq | +| :--- | :--- | +| PolyRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | +| PolyRow1 | [-1, 0, 1, 2, 3, 4, 5, 6, 7, 8] | +| PolyRow2 | [-1, -2, -1, 2, 7, 14, 23, 34, 47, 62] | +| PolyRow3 | [-1, -3, -5, -1, 15, 49, 107, 195, 319, 485] | +| PolyRow4 | [-1, -2, -9, -10, 31, 174, 503, 1126, 2175, 3806] | +| PolyRow5 | [-1, 0, -9, -28, 63, 624, 2375, 6516, 14847, 29888] | +| PolyRow6 | [-1, 1, -1, -55, 127, 2249, 11231, 37729, 101375, 234737] | +| PolyRow7 | [-1, 0, 15, -82, 255, 8124, 53135, 218490, 692223, 1843640] | +| PolyRow8 | [-1, -2, 31, -82, 511, 29374, 251423, 1265326, 4726783, 14480126] | +| PolyRow9 | [-1, -3, 31, -1, 1023, 106249, 1189727, 7327851, 32276479, 113728373] | + +BinomialMinus:Rev:Inv Polynomial values as columns + +| PolyCol | Seq | +| :--- | :--- | +| PolyCol0 | [1, -1, -1, -1, -1, -1, -1, -1, -1, -1] | +| PolyCol1 | [1, 0, -2, -3, -2, 0, 1, 0, -2, -3] | +| PolyCol2 | [1, 1, -1, -5, -9, -9, -1, 15, 31, 31] | +| PolyCol3 | [1, 2, 2, -1, -10, -28, -55, -82, -82, -1] | +| PolyCol4 | [1, 3, 7, 15, 31, 63, 127, 255, 511, 1023] | +| PolyCol5 | [1, 4, 14, 49, 174, 624, 2249, 8124, 29374, 106249] | +| PolyCol6 | [1, 5, 23, 107, 503, 2375, 11231, 53135, 251423, 1189727] | +| PolyCol7 | [1, 6, 34, 195, 1126, 6516, 37729, 218490, 1265326, 7327851] | +| PolyCol8 | [1, 7, 47, 319, 2175, 14847, 101375, 692223, 4726783, 32276479] | +| PolyCol9 | [1, 8, 62, 485, 3806, 29888, 234737, 1843640, 14480126, 113728373] | + diff --git a/data/md/Catalan.md b/data/md/Catalan.md index 9b44004..162fcee 100644 --- a/data/md/Catalan.md +++ b/data/md/Catalan.md @@ -41,120 +41,161 @@ | 38 | Catalan:Std | PolyCol2 | A067336 | 1 2 8 34 148 652 2892 12882 57540 257500 1153888 5175700 23231864 104335376 468766292 2106773874 | | 39 | Catalan:Std | PolyCol3 | A104530 | 1 3 15 78 411 2178 11574 61596 328083 1748346 9319650 49688004 264943902 1412826132 7534329804 | | 40 | Catalan:Std | PolyDiag | missing | 1 1 8 78 920 12910 211932 4005372 85904688 2064940470 55043183360 1612451393476 51512761928784 | -| 41 | Catalan:Rev | Triangle | missing | 1 1 0 1 2 0 1 4 5 0 1 6 14 14 0 1 8 27 48 42 0 1 10 44 110 165 132 0 1 12 65 208 429 572 429 0 1 14 | -| 42 | Catalan:Rev | InvRev | A128908 | 1 0 1 0 -2 1 0 3 -4 1 0 -4 10 -6 1 0 5 -20 21 -8 1 0 -6 35 -56 36 -10 1 0 7 -56 126 -120 55 -12 1 0 | -| 43 | Catalan:Rev | Acc | missing | 1 1 1 1 3 3 1 5 10 10 1 7 21 35 35 1 9 36 84 126 126 1 11 55 165 330 462 462 1 13 78 286 715 1287 | -| 44 | Catalan:Rev | AccRev | missing | 1 0 1 0 2 3 0 5 9 10 0 14 28 34 35 0 42 90 117 125 126 0 132 297 407 451 461 462 0 429 1001 1430 | -| 45 | Catalan:Rev | AntiDiag | missing | 1 1 1 0 1 2 1 4 0 1 6 5 1 8 14 0 1 10 27 14 1 12 44 48 0 1 14 65 110 42 1 16 90 208 165 0 1 18 119 | -| 46 | Catalan:Rev | Diffx1 | missing | 1 1 0 1 4 0 1 8 15 0 1 12 42 56 0 1 16 81 192 210 0 1 20 132 440 825 792 0 1 24 195 832 2145 3432 | -| 47 | Catalan:Rev | RowSum | A088218 | 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | -| 48 | Catalan:Rev | EvenSum | missing | 1 1 1 6 15 70 210 924 3003 12870 43758 184756 646646 2704156 9657700 40116600 145422675 601080390 | -| 49 | Catalan:Rev | OddSum | missing | 0 0 2 4 20 56 252 792 3432 11440 48620 167960 705432 2496144 10400600 37442160 155117520 565722720 | -| 50 | Catalan:Rev | AltSum | A115140 | 1 1 -1 2 -5 14 -42 132 -429 1430 -4862 16796 -58786 208012 -742900 2674440 -9694845 35357670 | -| 51 | Catalan:Rev | DiagSum | B224747 | 1 1 1 3 5 12 23 52 105 232 480 1049 2199 4777 10092 21845 46377 100159 213328 460023 981976 2115350 | -| 52 | Catalan:Rev | AccSum | A114121 | 1 2 7 26 99 382 1486 5812 22819 89846 354522 1401292 5546382 21977516 87167164 345994216 1374282019 | -| 53 | Catalan:Rev | AccRevSum | A296770 | 1 1 5 24 111 500 2210 9632 41531 177564 754014 3184016 13382710 56026984 233765636 972504704 | -| 54 | Catalan:Rev | RowLcm | missing | 1 1 2 20 42 3024 660 34320 450450 13613600 4232592 1777688640 240253860 144152316000 516300642000 | -| 55 | Catalan:Rev | RowGcd | A286299 | 1 1 2 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 56 | Catalan:Rev | RowMax | missing | 1 1 2 5 14 48 165 572 2002 7072 25194 90440 326876 1225785 4601610 17298645 65132550 245642760 | -| 57 | Catalan:Rev | ColMiddle | missing | 1 1 2 4 14 27 110 208 910 1700 7752 14364 67298 123970 592020 1085760 5259150 9612108 47071640 | -| 58 | Catalan:Rev | CentralE | A359108 | 1 2 14 110 910 7752 67298 592020 5259150 47071640 423830264 3834669566 34834267234 317506779800 | -| 59 | Catalan:Rev | CentralO | A026005 | 1 4 27 208 1700 14364 123970 1085760 9612108 85795600 770755843 6960408624 63127818572 574609830760 | -| 60 | Catalan:Rev | BinConv | B025174 | 1 1 5 28 165 1001 6188 38760 245157 1562275 10015005 64512240 417225900 2707475148 17620076360 | -| 61 | Catalan:Rev | InvBinConv | missing | 1 -1 -3 -4 5 39 84 -8 -603 -1795 -1243 9096 37388 50036 -119640 -747984 -1460827 1006569 14187927 | -| 62 | Catalan:Rev | TransNat0 | A172060 | 0 0 2 14 76 374 1748 7916 35096 153254 661636 2831300 12030632 50826684 213707336 894945944 | -| 63 | Catalan:Rev | TransNat1 | A296770 | 1 1 5 24 111 500 2210 9632 41531 177564 754014 3184016 13382710 56026984 233765636 972504704 | -| 64 | Catalan:Rev | TransSqrs | missing | 0 0 2 24 188 1220 7116 38752 201176 1008252 4918700 23489840 110260872 510246984 2333194808 | -| 65 | Catalan:Rev | PosHalf | A067336 | 1 2 8 34 148 652 2892 12882 57540 257500 1153888 5175700 23231864 104335376 468766292 2106773874 | -| 66 | Catalan:Rev | NegHalf | missing | 1 -2 0 -2 -4 -12 -36 -114 -372 -1244 -4240 -14676 -51448 -182288 -651756 -2348562 -8520564 | -| 67 | Catalan:Rev | DiagRow1 | B000108 | 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | -| 68 | Catalan:Rev | DiagRow2 | A002057 | 1 4 14 48 165 572 2002 7072 25194 90440 326876 1188640 4345965 15967980 58929450 218349120 | -| 69 | Catalan:Rev | DiagRow3 | A003517 | 1 6 27 110 429 1638 6188 23256 87210 326876 1225785 4601610 17298645 65132550 245642760 927983760 | -| 70 | Catalan:Rev | DiagCol1 | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 | -| 71 | Catalan:Rev | DiagCol2 | A014106 | 0 5 14 27 44 65 90 119 152 189 230 275 324 377 434 495 560 629 702 779 860 945 1034 1127 1224 1325 | -| 72 | Catalan:Rev | DiagCol3 | missing | 0 14 48 110 208 350 544 798 1120 1518 2000 2574 3248 4030 4928 5950 7104 8398 9840 11438 13200 | -| 73 | Catalan:Rev | Poly | A185620 | 1 1 1 1 1 1 1 3 1 1 1 10 5 1 1 1 35 29 7 1 1 1 126 181 58 9 1 1 1 462 1181 523 97 11 1 1 1 1716 | -| 74 | Catalan:Rev | PolyRow2 | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | -| 75 | Catalan:Rev | PolyRow3 | A079273 | 1 10 29 58 97 146 205 274 353 442 541 650 769 898 1037 1186 1345 1514 1693 1882 2081 2290 2509 2738 | -| 76 | Catalan:Rev | PolyCol2 | A194723 | 1 1 5 29 181 1181 7941 54573 381333 2699837 19319845 139480397 1014536117 7426790749 54669443141 | -| 77 | Catalan:Rev | PolyCol3 | A194724 | 1 1 7 58 523 4966 48838 492724 5068915 52955950 560198962 5987822380 64563867454 701383563388 | -| 78 | Catalan:Rev | PolyDiag | missing | 1 1 5 58 1145 32966 1265677 61189668 3581326065 246643289830 19564269083381 1757975451672716 | -| 79 | Catalan:Inv | Triangle | A128908 | 1 0 1 0 -2 1 0 3 -4 1 0 -4 10 -6 1 0 5 -20 21 -8 1 0 -6 35 -56 36 -10 1 0 7 -56 126 -120 55 -12 1 0 | -| 80 | Catalan:Inv | Rev | missing | 1 1 0 1 -2 0 1 -4 3 0 1 -6 10 -4 0 1 -8 21 -20 5 0 1 -10 36 -56 35 -6 0 1 -12 55 -120 126 -56 7 0 1 | -| 81 | Catalan:Inv | RevInv | missing | 1 1 0 1 2 0 1 4 5 0 1 6 14 14 0 1 8 27 48 42 0 1 10 44 110 165 132 0 1 12 65 208 429 572 429 0 1 14 | -| 82 | Catalan:Inv | Acc | missing | 1 0 1 0 -2 -1 0 3 -1 0 0 -4 6 0 1 0 5 -15 6 -2 -1 0 -6 29 -27 9 -1 0 0 7 -49 77 -43 12 0 1 0 -8 76 | -| 83 | Catalan:Inv | AccRev | missing | 1 1 1 1 -1 -1 1 -3 0 0 1 -5 5 1 1 1 -7 14 -6 -1 -1 1 -9 27 -29 6 0 0 1 -11 44 -76 50 -6 1 1 1 -13 | -| 84 | Catalan:Inv | AntiDiag | missing | 1 0 0 1 0 -2 0 3 1 0 -4 -4 0 5 10 1 0 -6 -20 -6 0 7 35 21 1 0 -8 -56 -56 -8 0 9 84 126 36 1 0 -10 | -| 85 | Catalan:Inv | Diffx1 | missing | 1 0 2 0 -4 3 0 6 -12 4 0 -8 30 -24 5 0 10 -60 84 -40 6 0 -12 105 -224 180 -60 7 0 14 -168 504 -600 | -| 86 | Catalan:Inv | RowSum | A106510 | 1 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 | -| 87 | Catalan:Inv | EvenSum | A113067 | 1 0 1 -4 11 -28 72 -188 493 -1292 3383 -8856 23184 -60696 158905 -416020 1089155 -2851444 7465176 | -| 88 | Catalan:Inv | OddSum | A113066 | 0 1 -2 4 -10 27 -72 189 -494 1292 -3382 8855 -23184 60697 -158906 416020 -1089154 2851443 -7465176 | -| 89 | Catalan:Inv | AltSum | A088305 | 1 -1 3 -8 21 -55 144 -377 987 -2584 6765 -17711 46368 -121393 317811 -832040 2178309 -5702887 | -| 90 | Catalan:Inv | DiagSum | A034008 | 1 0 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 | -| 91 | Catalan:Inv | AccSum | A332057 | 1 1 -3 2 3 -7 4 5 -11 6 7 -15 8 9 -19 10 11 -23 12 13 -27 14 15 -31 16 17 -35 18 19 -39 20 21 | -| 92 | Catalan:Inv | AccRevSum | B137241 | 1 2 -1 -2 3 0 -4 4 1 -6 5 2 -8 6 3 -10 7 4 -12 8 5 -14 9 6 -16 10 7 -18 11 8 -20 12 | -| 93 | Catalan:Inv | RowLcm | A099996 | 1 1 2 12 60 840 2520 27720 360360 720720 12252240 232792560 232792560 5354228880 26771144400 | -| 94 | Catalan:Inv | RowGcd | A286299 | 1 1 2 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 95 | Catalan:Inv | RowMax | missing | 1 1 2 4 10 21 56 126 330 792 2002 5005 12376 31824 77520 203490 497420 1307504 3268760 8436285 | -| 96 | Catalan:Inv | ColMiddle | missing | 1 0 -2 3 10 -20 -56 126 330 -792 -2002 5005 12376 -31824 -77520 203490 490314 -1307504 -3124550 | -| 97 | Catalan:Inv | CentralE | A165817 | 1 -2 10 -56 330 -2002 12376 -77520 490314 -3124550 20030010 -129024480 834451800 -5414950296 | -| 98 | Catalan:Inv | CentralO | missing | 0 3 -20 126 -792 5005 -31824 203490 -1307504 8436285 -54627300 354817320 -2310789600 15084504396 | -| 99 | Catalan:Inv | BinConv | A350290 | 1 1 -3 -2 21 -4 -150 155 1029 -2072 -6468 22056 34122 -208857 -106249 1816958 -639067 -14629264 | -| 100 | Catalan:Inv | InvBinConv | A262440 | 1 1 5 22 101 476 2282 11075 54245 267592 1327580 6617128 33110090 166215895 836761343 4222640822 | -| 101 | Catalan:Inv | TransNat0 | A122918 | 0 1 0 -2 2 1 -4 3 2 -6 4 3 -8 5 4 -10 6 5 -12 7 6 -14 8 7 -16 9 8 -18 10 9 -20 11 | -| 102 | Catalan:Inv | TransNat1 | B137241 | 1 2 -1 -2 3 0 -4 4 1 -6 5 2 -8 6 3 -10 7 4 -12 8 5 -14 9 6 -16 10 7 -18 11 8 -20 12 | -| 103 | Catalan:Inv | TransSqrs | missing | 0 1 2 -4 -2 11 -8 -11 26 -12 -26 47 -16 -47 74 -20 -74 107 -24 -107 146 -28 -146 191 -32 -191 242 | -| 104 | Catalan:Inv | PosHalf | A049072 | 1 1 -3 5 -3 -11 45 -91 93 85 -627 1541 -2115 181 7917 -24475 41757 -27371 -84915 364229 -753027 | -| 105 | Catalan:Inv | NegHalf | B002450 | 1 1 5 21 85 341 1365 5461 21845 87381 349525 1398101 5592405 22369621 89478485 357913941 1431655765 | -| 106 | Catalan:Inv | DiagRow1 | A005843 | 0 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 | -| 107 | Catalan:Inv | DiagRow2 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | -| 108 | Catalan:Inv | DiagRow3 | A002492 | 0 -4 -20 -56 -120 -220 -364 -560 -816 -1140 -1540 -2024 -2600 -3276 -4060 -4960 -5984 -7140 -8436 | -| 109 | Catalan:Inv | DiagCol1 | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | -| 110 | Catalan:Inv | DiagCol2 | B000292 | 1 -4 10 -20 35 -56 84 -120 165 -220 286 -364 455 -560 680 -816 969 -1140 1330 -1540 1771 -2024 2300 | -| 111 | Catalan:Inv | DiagCol3 | B000389 | 1 -6 21 -56 126 -252 462 -792 1287 -2002 3003 -4368 6188 -8568 11628 -15504 20349 -26334 33649 | -| 112 | Catalan:Inv | Poly | missing | 1 0 1 0 1 1 0 -1 2 1 0 0 0 3 1 0 1 -2 3 4 1 0 -1 0 0 8 5 1 0 0 2 -3 12 15 6 1 0 1 0 -3 16 40 24 7 1 | -| 113 | Catalan:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 114 | Catalan:Inv | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | -| 115 | Catalan:Inv | PolyRow3 | missing | 0 0 -2 0 12 40 90 168 280 432 630 880 1188 1560 2002 2520 3120 3808 4590 5472 6460 7560 8778 10120 | -| 116 | Catalan:Inv | PolyCol2 | A084099 | 1 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 | -| 117 | Catalan:Inv | PolyCol3 | A084103 | 1 3 3 0 -3 -3 0 3 3 0 -3 -3 0 3 3 0 -3 -3 0 3 3 0 -3 -3 0 3 3 0 -3 -3 0 3 | -| 118 | Catalan:Inv | PolyDiag | missing | 1 1 0 0 16 275 4680 88543 1883328 44791056 1181184400 34254174229 1084253219280 37213995870493 | -| 119 | Catalan:Inv:Rev | Triangle | missing | 1 1 0 1 -2 0 1 -4 3 0 1 -6 10 -4 0 1 -8 21 -20 5 0 1 -10 36 -56 35 -6 0 1 -12 55 -120 126 -56 7 0 1 | -| 120 | Catalan:Inv:Rev | Rev | A128908 | 1 0 1 0 -2 1 0 3 -4 1 0 -4 10 -6 1 0 5 -20 21 -8 1 0 -6 35 -56 36 -10 1 0 7 -56 126 -120 55 -12 1 0 | -| 121 | Catalan:Inv:Rev | InvRev | A128899 | 1 0 1 0 2 1 0 5 4 1 0 14 14 6 1 0 42 48 27 8 1 0 132 165 110 44 10 1 0 429 572 429 208 65 12 1 0 | -| 122 | Catalan:Inv:Rev | Acc | missing | 1 1 1 1 -1 -1 1 -3 0 0 1 -5 5 1 1 1 -7 14 -6 -1 -1 1 -9 27 -29 6 0 0 1 -11 44 -76 50 -6 1 1 1 -13 | -| 123 | Catalan:Inv:Rev | AccRev | missing | 1 0 1 0 -2 -1 0 3 -1 0 0 -4 6 0 1 0 5 -15 6 -2 -1 0 -6 29 -27 9 -1 0 0 7 -49 77 -43 12 0 1 0 -8 76 | -| 124 | Catalan:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -2 1 -4 0 1 -6 3 1 -8 10 0 1 -10 21 -4 1 -12 36 -20 0 1 -14 55 -56 5 1 -16 78 -120 35 0 1 | -| 125 | Catalan:Inv:Rev | Diffx1 | missing | 1 1 0 1 -4 0 1 -8 9 0 1 -12 30 -16 0 1 -16 63 -80 25 0 1 -20 108 -224 175 -36 0 1 -24 165 -480 630 | -| 126 | Catalan:Inv:Rev | RowSum | A106510 | 1 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 | -| 127 | Catalan:Inv:Rev | EvenSum | missing | 1 1 1 4 11 27 72 189 493 1292 3383 8855 23184 60697 158905 416020 1089155 2851443 7465176 19544085 | -| 128 | Catalan:Inv:Rev | OddSum | missing | 0 0 -2 -4 -10 -28 -72 -188 -494 -1292 -3382 -8856 -23184 -60696 -158906 -416020 -1089154 -2851444 | -| 129 | Catalan:Inv:Rev | AltSum | A088305 | 1 1 3 8 21 55 144 377 987 2584 6765 17711 46368 121393 317811 832040 2178309 5702887 14930352 | -| 130 | Catalan:Inv:Rev | DiagSum | missing | 1 1 1 -1 -3 -2 3 8 5 -9 -22 -12 27 60 28 -80 -163 -63 235 441 134 -685 -1188 -259 1983 3186 408 | -| 131 | Catalan:Inv:Rev | AccSum | B137241 | 1 2 -1 -2 3 0 -4 4 1 -6 5 2 -8 6 3 -10 7 4 -12 8 5 -14 9 6 -16 10 7 -18 11 8 -20 12 | -| 132 | Catalan:Inv:Rev | AccRevSum | A332057 | 1 1 -3 2 3 -7 4 5 -11 6 7 -15 8 9 -19 10 11 -23 12 13 -27 14 15 -31 16 17 -35 18 19 -39 20 21 | -| 133 | Catalan:Inv:Rev | RowLcm | A099996 | 1 1 2 12 60 840 2520 27720 360360 720720 12252240 232792560 232792560 5354228880 26771144400 | -| 134 | Catalan:Inv:Rev | RowGcd | A286299 | 1 1 2 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 135 | Catalan:Inv:Rev | RowMax | missing | 1 1 2 4 10 21 56 126 330 792 2002 5005 12376 31824 77520 203490 497420 1307504 3268760 8436285 | -| 136 | Catalan:Inv:Rev | ColMiddle | missing | 1 1 -2 -4 10 21 -56 -120 330 715 -2002 -4368 12376 27132 -77520 -170544 490314 1081575 -3124550 | -| 137 | Catalan:Inv:Rev | CentralE | A165817 | 1 -2 10 -56 330 -2002 12376 -77520 490314 -3124550 20030010 -129024480 834451800 -5414950296 | -| 138 | Catalan:Inv:Rev | CentralO | A045721 | 1 -4 21 -120 715 -4368 27132 -170544 1081575 -6906900 44352165 -286097760 1852482996 -12033222880 | -| 139 | Catalan:Inv:Rev | BinConv | A350290 | 1 1 -3 -2 21 -4 -150 155 1029 -2072 -6468 22056 34122 -208857 -106249 1816958 -639067 -14629264 | -| 140 | Catalan:Inv:Rev | InvBinConv | A262440 | 1 -1 5 -22 101 -476 2282 -11075 54245 -267592 1327580 -6617128 33110090 -166215895 836761343 | -| 141 | Catalan:Inv:Rev | TransNat0 | missing | 0 0 -2 2 2 -6 4 4 -10 6 6 -14 8 8 -18 10 10 -22 12 12 -26 14 14 -30 16 16 -34 18 18 -38 20 20 | -| 142 | Catalan:Inv:Rev | TransNat1 | A332057 | 1 1 -3 2 3 -7 4 5 -11 6 7 -15 8 9 -19 10 11 -23 12 13 -27 14 15 -31 16 17 -35 18 19 -39 20 21 | -| 143 | Catalan:Inv:Rev | TransSqrs | missing | 0 0 -2 8 -2 -24 40 -4 -70 96 -6 -140 176 -8 -234 280 -10 -352 408 -12 -494 560 -14 -660 736 -16 | -| 144 | Catalan:Inv:Rev | PosHalf | A084099 | 1 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 | -| 145 | Catalan:Inv:Rev | NegHalf | B052530 | 1 -2 8 -30 112 -418 1560 -5822 21728 -81090 302632 -1129438 4215120 -15731042 58709048 -219105150 | -| 146 | Catalan:Inv:Rev | DiagRow1 | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | -| 147 | Catalan:Inv:Rev | DiagRow2 | B000292 | 1 -4 10 -20 35 -56 84 -120 165 -220 286 -364 455 -560 680 -816 969 -1140 1330 -1540 1771 -2024 2300 | -| 148 | Catalan:Inv:Rev | DiagRow3 | B000389 | 1 -6 21 -56 126 -252 462 -792 1287 -2002 3003 -4368 6188 -8568 11628 -15504 20349 -26334 33649 | -| 149 | Catalan:Inv:Rev | DiagCol1 | A005843 | 0 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 | -| 150 | Catalan:Inv:Rev | DiagCol2 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | -| 151 | Catalan:Inv:Rev | DiagCol3 | A002492 | 0 -4 -20 -56 -120 -220 -364 -560 -816 -1140 -1540 -2024 -2600 -3276 -4060 -4960 -5984 -7140 -8436 | -| 152 | Catalan:Inv:Rev | Poly | missing | 1 1 1 1 1 1 1 -1 1 1 1 0 -3 1 1 1 1 5 -5 1 1 1 -1 -3 16 -7 1 1 1 0 -11 -35 33 -9 1 1 1 1 45 31 -119 | -| 153 | Catalan:Inv:Rev | PolyRow2 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | -| 154 | Catalan:Inv:Rev | PolyRow3 | A045944 | 1 0 5 16 33 56 85 120 161 208 261 320 385 456 533 616 705 800 901 1008 1121 1240 1365 1496 1633 | -| 155 | Catalan:Inv:Rev | PolyCol2 | A049072 | 1 1 -3 5 -3 -11 45 -91 93 85 -627 1541 -2115 181 7917 -24475 41757 -27371 -84915 364229 -753027 | -| 156 | Catalan:Inv:Rev | PolyCol3 | B190970 | 1 1 -5 16 -35 31 160 -1079 3955 -10064 14725 16951 -217280 933841 -2713685 5163856 -1396115 | -| 157 | Catalan:Inv:Rev | PolyDiag | missing | 1 1 -3 16 -119 1111 -12155 146329 -1770735 16657264 108903421 -16239940441 854302763545 | \ No newline at end of file +| 41 | Catalan:Alt | Triangle | A128899 | 1 0 -1 0 -2 1 0 -5 4 -1 0 -14 14 -6 1 0 -42 48 -27 8 -1 0 -132 165 -110 44 -10 1 0 -429 572 -429 | +| 42 | Catalan:Alt | Rev | missing | 1 -1 0 1 -2 0 -1 4 -5 0 1 -6 14 -14 0 -1 8 -27 48 -42 0 1 -10 44 -110 165 -132 0 -1 12 -65 208 -429 | +| 43 | Catalan:Alt | Inv | missing | 1 0 1 0 2 1 0 -3 -4 1 0 -32 -38 6 1 0 121 148 -21 -8 1 0 2090 2547 -364 -124 10 1 0 -12561 -15328 | +| 44 | Catalan:Alt | RevInv | missing | 1 1 0 1 2 0 1 -4 -3 0 1 6 -38 -32 0 1 -8 -21 148 121 0 1 10 -124 -364 2547 2090 0 1 -12 -55 760 | +| 45 | Catalan:Alt | Acc | missing | 1 0 -1 0 -2 -1 0 -5 -1 -2 0 -14 0 -6 -5 0 -42 6 -21 -13 -14 0 -132 33 -77 -33 -43 -42 0 -429 143 | +| 46 | Catalan:Alt | AccRev | missing | 1 -1 -1 1 -1 -1 -1 3 -2 -2 1 -5 9 -5 -5 -1 7 -20 28 -14 -14 1 -9 35 -75 90 -42 -42 -1 11 -54 154 | +| 47 | Catalan:Alt | AntiDiag | missing | 1 0 0 -1 0 -2 0 -5 1 0 -14 4 0 -42 14 -1 0 -132 48 -6 0 -429 165 -27 1 0 -1430 572 -110 8 0 -4862 | +| 48 | Catalan:Alt | Diffx1 | missing | 1 0 -2 0 -4 3 0 -10 12 -4 0 -28 42 -24 5 0 -84 144 -108 40 -6 0 -264 495 -440 220 -60 7 0 -858 1716 | +| 49 | Catalan:Alt | RowSum | A115140 | 1 -1 -1 -2 -5 -14 -42 -132 -429 -1430 -4862 -16796 -58786 -208012 -742900 -2674440 -9694845 | +| 50 | Catalan:Alt | EvenSum | A001791 | 1 0 1 4 15 56 210 792 3003 11440 43758 167960 646646 2496144 9657700 37442160 145422675 565722720 | +| 51 | Catalan:Alt | OddSum | A000984 | 0 -1 -2 -6 -20 -70 -252 -924 -3432 -12870 -48620 -184756 -705432 -2704156 -10400600 -40116600 | +| 52 | Catalan:Alt | AltSum | A088218 | 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | +| 53 | Catalan:Alt | DiagSum | B182486 | 1 0 -1 -2 -4 -10 -29 -90 -290 -960 -3246 -11164 -38934 -137358 -489341 -1757882 -6360634 -23160528 | +| 54 | Catalan:Alt | AccSum | B038665 | 1 -1 -3 -8 -25 -84 -294 -1056 -3861 -14300 -53482 -201552 -764218 -2912168 -11143500 -42791040 | +| 55 | Catalan:Alt | AccRevSum | A115141 | 1 -2 -1 -2 -5 -14 -42 -132 -429 -1430 -4862 -16796 -58786 -208012 -742900 -2674440 -9694845 | +| 56 | Catalan:Alt | RowLcm | missing | 1 1 2 20 42 3024 660 34320 450450 13613600 4232592 1777688640 240253860 144152316000 516300642000 | +| 57 | Catalan:Alt | RowGcd | A286299 | 1 1 2 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 58 | Catalan:Alt | RowMax | missing | 1 1 2 5 14 48 165 572 2002 7072 25194 90440 326876 1225785 4601610 17298645 65132550 245642760 | +| 59 | Catalan:Alt | ColMiddle | missing | 1 0 -2 -5 14 48 -110 -429 910 3808 -7752 -33915 67298 303600 -592020 -2731365 5259150 24682944 | +| 60 | Catalan:Alt | CentralE | A359108 | 1 -2 14 -110 910 -7752 67298 -592020 5259150 -47071640 423830264 -3834669566 34834267234 | +| 61 | Catalan:Alt | CentralO | missing | 0 -5 48 -429 3808 -33915 303600 -2731365 24682944 -223926516 2038362560 -18609425835 170333048928 | +| 62 | Catalan:Alt | BinConv | missing | 1 -1 -3 -4 5 39 84 -8 -603 -1795 -1243 9096 37388 50036 -119640 -747984 -1460827 1006569 14187927 | +| 63 | Catalan:Alt | InvBinConv | B025174 | 1 -1 5 -28 165 -1001 6188 -38760 245157 -1562275 10015005 -64512240 417225900 -2707475148 | +| 64 | Catalan:Alt | TransNat0 | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 65 | Catalan:Alt | TransNat1 | A115141 | 1 -2 -1 -2 -5 -14 -42 -132 -429 -1430 -4862 -16796 -58786 -208012 -742900 -2674440 -9694845 | +| 66 | Catalan:Alt | TransSqrs | A002420 | 0 -1 2 2 4 10 28 84 264 858 2860 9724 33592 117572 416024 1485800 5348880 19389690 70715340 | +| 67 | Catalan:Alt | PosHalf | A064062 | 1 -1 -3 -13 -67 -381 -2307 -14589 -95235 -636925 -4341763 -30056445 -210731011 -1493303293 | +| 68 | Catalan:Alt | NegHalf | A194723 | 1 -1 5 -29 181 -1181 7941 -54573 381333 -2699837 19319845 -139480397 1014536117 -7426790749 | +| 69 | Catalan:Alt | DiagRow1 | A005843 | 0 -2 4 -6 8 -10 12 -14 16 -18 20 -22 24 -26 28 -30 32 -34 36 -38 40 -42 44 -46 48 -50 52 -54 56 -58 | +| 70 | Catalan:Alt | DiagRow2 | A014106 | 0 -5 14 -27 44 -65 90 -119 152 -189 230 -275 324 -377 434 -495 560 -629 702 -779 860 -945 1034 | +| 71 | Catalan:Alt | DiagRow3 | missing | 0 -14 48 -110 208 -350 544 -798 1120 -1518 2000 -2574 3248 -4030 4928 -5950 7104 -8398 9840 -11438 | +| 72 | Catalan:Alt | DiagCol1 | B115140 | -1 -2 -5 -14 -42 -132 -429 -1430 -4862 -16796 -58786 -208012 -742900 -2674440 -9694845 -35357670 | +| 73 | Catalan:Alt | DiagCol2 | A002057 | 1 4 14 48 165 572 2002 7072 25194 90440 326876 1188640 4345965 15967980 58929450 218349120 | +| 74 | Catalan:Alt | DiagCol3 | A003517 | -1 -6 -27 -110 -429 -1638 -6188 -23256 -87210 -326876 -1225785 -4601610 -17298645 -65132550 | +| 75 | Catalan:Alt | Poly | missing | 1 0 1 0 -1 1 0 -1 -2 1 0 -2 0 -3 1 0 -5 -2 3 -4 1 0 -14 -4 -6 8 -5 1 0 -42 -12 3 -20 15 -6 1 0 -132 | +| 76 | Catalan:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 77 | Catalan:Alt | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 78 | Catalan:Alt | PolyRow3 | missing | 0 -2 -2 -6 -20 -50 -102 -182 -296 -450 -650 -902 -1212 -1586 -2030 -2550 -3152 -3842 -4626 -5510 | +| 79 | Catalan:Alt | PolyCol2 | missing | 1 -2 0 -2 -4 -12 -36 -114 -372 -1244 -4240 -14676 -51448 -182288 -651756 -2348562 -8520564 | +| 80 | Catalan:Alt | PolyCol3 | missing | 1 -3 3 -6 3 -18 -18 -108 -285 -1050 -3462 -12180 -42546 -151284 -541188 -1952856 -7091037 -25902954 | +| 81 | Catalan:Alt | PolyDiag | missing | 1 -1 0 -6 40 -510 7308 -126924 2546640 -58123350 1485935440 -42059272596 1305569973552 | +| 82 | Catalan:Rev | Triangle | missing | 1 1 0 1 2 0 1 4 5 0 1 6 14 14 0 1 8 27 48 42 0 1 10 44 110 165 132 0 1 12 65 208 429 572 429 0 1 14 | +| 83 | Catalan:Rev | InvRev | A128908 | 1 0 1 0 -2 1 0 3 -4 1 0 -4 10 -6 1 0 5 -20 21 -8 1 0 -6 35 -56 36 -10 1 0 7 -56 126 -120 55 -12 1 0 | +| 84 | Catalan:Rev | Acc | missing | 1 1 1 1 3 3 1 5 10 10 1 7 21 35 35 1 9 36 84 126 126 1 11 55 165 330 462 462 1 13 78 286 715 1287 | +| 85 | Catalan:Rev | AccRev | missing | 1 0 1 0 2 3 0 5 9 10 0 14 28 34 35 0 42 90 117 125 126 0 132 297 407 451 461 462 0 429 1001 1430 | +| 86 | Catalan:Rev | AntiDiag | missing | 1 1 1 0 1 2 1 4 0 1 6 5 1 8 14 0 1 10 27 14 1 12 44 48 0 1 14 65 110 42 1 16 90 208 165 0 1 18 119 | +| 87 | Catalan:Rev | Diffx1 | missing | 1 1 0 1 4 0 1 8 15 0 1 12 42 56 0 1 16 81 192 210 0 1 20 132 440 825 792 0 1 24 195 832 2145 3432 | +| 88 | Catalan:Rev | RowSum | A088218 | 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | +| 89 | Catalan:Rev | EvenSum | missing | 1 1 1 6 15 70 210 924 3003 12870 43758 184756 646646 2704156 9657700 40116600 145422675 601080390 | +| 90 | Catalan:Rev | OddSum | missing | 0 0 2 4 20 56 252 792 3432 11440 48620 167960 705432 2496144 10400600 37442160 155117520 565722720 | +| 91 | Catalan:Rev | AltSum | A115140 | 1 1 -1 2 -5 14 -42 132 -429 1430 -4862 16796 -58786 208012 -742900 2674440 -9694845 35357670 | +| 92 | Catalan:Rev | DiagSum | B224747 | 1 1 1 3 5 12 23 52 105 232 480 1049 2199 4777 10092 21845 46377 100159 213328 460023 981976 2115350 | +| 93 | Catalan:Rev | AccSum | A114121 | 1 2 7 26 99 382 1486 5812 22819 89846 354522 1401292 5546382 21977516 87167164 345994216 1374282019 | +| 94 | Catalan:Rev | AccRevSum | A296770 | 1 1 5 24 111 500 2210 9632 41531 177564 754014 3184016 13382710 56026984 233765636 972504704 | +| 95 | Catalan:Rev | RowLcm | missing | 1 1 2 20 42 3024 660 34320 450450 13613600 4232592 1777688640 240253860 144152316000 516300642000 | +| 96 | Catalan:Rev | RowGcd | A286299 | 1 1 2 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 97 | Catalan:Rev | RowMax | missing | 1 1 2 5 14 48 165 572 2002 7072 25194 90440 326876 1225785 4601610 17298645 65132550 245642760 | +| 98 | Catalan:Rev | ColMiddle | missing | 1 1 2 4 14 27 110 208 910 1700 7752 14364 67298 123970 592020 1085760 5259150 9612108 47071640 | +| 99 | Catalan:Rev | CentralE | A359108 | 1 2 14 110 910 7752 67298 592020 5259150 47071640 423830264 3834669566 34834267234 317506779800 | +| 100 | Catalan:Rev | CentralO | A026005 | 1 4 27 208 1700 14364 123970 1085760 9612108 85795600 770755843 6960408624 63127818572 574609830760 | +| 101 | Catalan:Rev | BinConv | B025174 | 1 1 5 28 165 1001 6188 38760 245157 1562275 10015005 64512240 417225900 2707475148 17620076360 | +| 102 | Catalan:Rev | InvBinConv | missing | 1 -1 -3 -4 5 39 84 -8 -603 -1795 -1243 9096 37388 50036 -119640 -747984 -1460827 1006569 14187927 | +| 103 | Catalan:Rev | TransNat0 | A172060 | 0 0 2 14 76 374 1748 7916 35096 153254 661636 2831300 12030632 50826684 213707336 894945944 | +| 104 | Catalan:Rev | TransNat1 | A296770 | 1 1 5 24 111 500 2210 9632 41531 177564 754014 3184016 13382710 56026984 233765636 972504704 | +| 105 | Catalan:Rev | TransSqrs | missing | 0 0 2 24 188 1220 7116 38752 201176 1008252 4918700 23489840 110260872 510246984 2333194808 | +| 106 | Catalan:Rev | PosHalf | A067336 | 1 2 8 34 148 652 2892 12882 57540 257500 1153888 5175700 23231864 104335376 468766292 2106773874 | +| 107 | Catalan:Rev | NegHalf | missing | 1 -2 0 -2 -4 -12 -36 -114 -372 -1244 -4240 -14676 -51448 -182288 -651756 -2348562 -8520564 | +| 108 | Catalan:Rev | DiagRow1 | B000108 | 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | +| 109 | Catalan:Rev | DiagRow2 | A002057 | 1 4 14 48 165 572 2002 7072 25194 90440 326876 1188640 4345965 15967980 58929450 218349120 | +| 110 | Catalan:Rev | DiagRow3 | A003517 | 1 6 27 110 429 1638 6188 23256 87210 326876 1225785 4601610 17298645 65132550 245642760 927983760 | +| 111 | Catalan:Rev | DiagCol1 | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 | +| 112 | Catalan:Rev | DiagCol2 | A014106 | 0 5 14 27 44 65 90 119 152 189 230 275 324 377 434 495 560 629 702 779 860 945 1034 1127 1224 1325 | +| 113 | Catalan:Rev | DiagCol3 | missing | 0 14 48 110 208 350 544 798 1120 1518 2000 2574 3248 4030 4928 5950 7104 8398 9840 11438 13200 | +| 114 | Catalan:Rev | Poly | A185620 | 1 1 1 1 1 1 1 3 1 1 1 10 5 1 1 1 35 29 7 1 1 1 126 181 58 9 1 1 1 462 1181 523 97 11 1 1 1 1716 | +| 115 | Catalan:Rev | PolyRow2 | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | +| 116 | Catalan:Rev | PolyRow3 | A079273 | 1 10 29 58 97 146 205 274 353 442 541 650 769 898 1037 1186 1345 1514 1693 1882 2081 2290 2509 2738 | +| 117 | Catalan:Rev | PolyCol2 | A194723 | 1 1 5 29 181 1181 7941 54573 381333 2699837 19319845 139480397 1014536117 7426790749 54669443141 | +| 118 | Catalan:Rev | PolyCol3 | A194724 | 1 1 7 58 523 4966 48838 492724 5068915 52955950 560198962 5987822380 64563867454 701383563388 | +| 119 | Catalan:Rev | PolyDiag | missing | 1 1 5 58 1145 32966 1265677 61189668 3581326065 246643289830 19564269083381 1757975451672716 | +| 120 | Catalan:Inv | Triangle | A128908 | 1 0 1 0 -2 1 0 3 -4 1 0 -4 10 -6 1 0 5 -20 21 -8 1 0 -6 35 -56 36 -10 1 0 7 -56 126 -120 55 -12 1 0 | +| 121 | Catalan:Inv | Rev | missing | 1 1 0 1 -2 0 1 -4 3 0 1 -6 10 -4 0 1 -8 21 -20 5 0 1 -10 36 -56 35 -6 0 1 -12 55 -120 126 -56 7 0 1 | +| 122 | Catalan:Inv | RevInv | missing | 1 1 0 1 2 0 1 4 5 0 1 6 14 14 0 1 8 27 48 42 0 1 10 44 110 165 132 0 1 12 65 208 429 572 429 0 1 14 | +| 123 | Catalan:Inv | Acc | missing | 1 0 1 0 -2 -1 0 3 -1 0 0 -4 6 0 1 0 5 -15 6 -2 -1 0 -6 29 -27 9 -1 0 0 7 -49 77 -43 12 0 1 0 -8 76 | +| 124 | Catalan:Inv | AccRev | missing | 1 1 1 1 -1 -1 1 -3 0 0 1 -5 5 1 1 1 -7 14 -6 -1 -1 1 -9 27 -29 6 0 0 1 -11 44 -76 50 -6 1 1 1 -13 | +| 125 | Catalan:Inv | AntiDiag | missing | 1 0 0 1 0 -2 0 3 1 0 -4 -4 0 5 10 1 0 -6 -20 -6 0 7 35 21 1 0 -8 -56 -56 -8 0 9 84 126 36 1 0 -10 | +| 126 | Catalan:Inv | Diffx1 | missing | 1 0 2 0 -4 3 0 6 -12 4 0 -8 30 -24 5 0 10 -60 84 -40 6 0 -12 105 -224 180 -60 7 0 14 -168 504 -600 | +| 127 | Catalan:Inv | RowSum | A106510 | 1 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 | +| 128 | Catalan:Inv | EvenSum | A113067 | 1 0 1 -4 11 -28 72 -188 493 -1292 3383 -8856 23184 -60696 158905 -416020 1089155 -2851444 7465176 | +| 129 | Catalan:Inv | OddSum | A113066 | 0 1 -2 4 -10 27 -72 189 -494 1292 -3382 8855 -23184 60697 -158906 416020 -1089154 2851443 -7465176 | +| 130 | Catalan:Inv | AltSum | A088305 | 1 -1 3 -8 21 -55 144 -377 987 -2584 6765 -17711 46368 -121393 317811 -832040 2178309 -5702887 | +| 131 | Catalan:Inv | DiagSum | A034008 | 1 0 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 | +| 132 | Catalan:Inv | AccSum | A332057 | 1 1 -3 2 3 -7 4 5 -11 6 7 -15 8 9 -19 10 11 -23 12 13 -27 14 15 -31 16 17 -35 18 19 -39 20 21 | +| 133 | Catalan:Inv | AccRevSum | B137241 | 1 2 -1 -2 3 0 -4 4 1 -6 5 2 -8 6 3 -10 7 4 -12 8 5 -14 9 6 -16 10 7 -18 11 8 -20 12 | +| 134 | Catalan:Inv | RowLcm | A099996 | 1 1 2 12 60 840 2520 27720 360360 720720 12252240 232792560 232792560 5354228880 26771144400 | +| 135 | Catalan:Inv | RowGcd | A286299 | 1 1 2 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 136 | Catalan:Inv | RowMax | missing | 1 1 2 4 10 21 56 126 330 792 2002 5005 12376 31824 77520 203490 497420 1307504 3268760 8436285 | +| 137 | Catalan:Inv | ColMiddle | missing | 1 0 -2 3 10 -20 -56 126 330 -792 -2002 5005 12376 -31824 -77520 203490 490314 -1307504 -3124550 | +| 138 | Catalan:Inv | CentralE | A165817 | 1 -2 10 -56 330 -2002 12376 -77520 490314 -3124550 20030010 -129024480 834451800 -5414950296 | +| 139 | Catalan:Inv | CentralO | missing | 0 3 -20 126 -792 5005 -31824 203490 -1307504 8436285 -54627300 354817320 -2310789600 15084504396 | +| 140 | Catalan:Inv | BinConv | A350290 | 1 1 -3 -2 21 -4 -150 155 1029 -2072 -6468 22056 34122 -208857 -106249 1816958 -639067 -14629264 | +| 141 | Catalan:Inv | InvBinConv | A262440 | 1 1 5 22 101 476 2282 11075 54245 267592 1327580 6617128 33110090 166215895 836761343 4222640822 | +| 142 | Catalan:Inv | TransNat0 | A122918 | 0 1 0 -2 2 1 -4 3 2 -6 4 3 -8 5 4 -10 6 5 -12 7 6 -14 8 7 -16 9 8 -18 10 9 -20 11 | +| 143 | Catalan:Inv | TransNat1 | B137241 | 1 2 -1 -2 3 0 -4 4 1 -6 5 2 -8 6 3 -10 7 4 -12 8 5 -14 9 6 -16 10 7 -18 11 8 -20 12 | +| 144 | Catalan:Inv | TransSqrs | missing | 0 1 2 -4 -2 11 -8 -11 26 -12 -26 47 -16 -47 74 -20 -74 107 -24 -107 146 -28 -146 191 -32 -191 242 | +| 145 | Catalan:Inv | PosHalf | A049072 | 1 1 -3 5 -3 -11 45 -91 93 85 -627 1541 -2115 181 7917 -24475 41757 -27371 -84915 364229 -753027 | +| 146 | Catalan:Inv | NegHalf | B002450 | 1 1 5 21 85 341 1365 5461 21845 87381 349525 1398101 5592405 22369621 89478485 357913941 1431655765 | +| 147 | Catalan:Inv | DiagRow1 | A005843 | 0 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 | +| 148 | Catalan:Inv | DiagRow2 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | +| 149 | Catalan:Inv | DiagRow3 | A002492 | 0 -4 -20 -56 -120 -220 -364 -560 -816 -1140 -1540 -2024 -2600 -3276 -4060 -4960 -5984 -7140 -8436 | +| 150 | Catalan:Inv | DiagCol1 | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 151 | Catalan:Inv | DiagCol2 | B000292 | 1 -4 10 -20 35 -56 84 -120 165 -220 286 -364 455 -560 680 -816 969 -1140 1330 -1540 1771 -2024 2300 | +| 152 | Catalan:Inv | DiagCol3 | B000389 | 1 -6 21 -56 126 -252 462 -792 1287 -2002 3003 -4368 6188 -8568 11628 -15504 20349 -26334 33649 | +| 153 | Catalan:Inv | Poly | missing | 1 0 1 0 1 1 0 -1 2 1 0 0 0 3 1 0 1 -2 3 4 1 0 -1 0 0 8 5 1 0 0 2 -3 12 15 6 1 0 1 0 -3 16 40 24 7 1 | +| 154 | Catalan:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 155 | Catalan:Inv | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 156 | Catalan:Inv | PolyRow3 | missing | 0 0 -2 0 12 40 90 168 280 432 630 880 1188 1560 2002 2520 3120 3808 4590 5472 6460 7560 8778 10120 | +| 157 | Catalan:Inv | PolyCol2 | A084099 | 1 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 | +| 158 | Catalan:Inv | PolyCol3 | A084103 | 1 3 3 0 -3 -3 0 3 3 0 -3 -3 0 3 3 0 -3 -3 0 3 3 0 -3 -3 0 3 3 0 -3 -3 0 3 | +| 159 | Catalan:Inv | PolyDiag | missing | 1 1 0 0 16 275 4680 88543 1883328 44791056 1181184400 34254174229 1084253219280 37213995870493 | +| 160 | Catalan:Inv:Rev | Triangle | missing | 1 1 0 1 -2 0 1 -4 3 0 1 -6 10 -4 0 1 -8 21 -20 5 0 1 -10 36 -56 35 -6 0 1 -12 55 -120 126 -56 7 0 1 | +| 161 | Catalan:Inv:Rev | Rev | A128908 | 1 0 1 0 -2 1 0 3 -4 1 0 -4 10 -6 1 0 5 -20 21 -8 1 0 -6 35 -56 36 -10 1 0 7 -56 126 -120 55 -12 1 0 | +| 162 | Catalan:Inv:Rev | InvRev | A128899 | 1 0 1 0 2 1 0 5 4 1 0 14 14 6 1 0 42 48 27 8 1 0 132 165 110 44 10 1 0 429 572 429 208 65 12 1 0 | +| 163 | Catalan:Inv:Rev | Acc | missing | 1 1 1 1 -1 -1 1 -3 0 0 1 -5 5 1 1 1 -7 14 -6 -1 -1 1 -9 27 -29 6 0 0 1 -11 44 -76 50 -6 1 1 1 -13 | +| 164 | Catalan:Inv:Rev | AccRev | missing | 1 0 1 0 -2 -1 0 3 -1 0 0 -4 6 0 1 0 5 -15 6 -2 -1 0 -6 29 -27 9 -1 0 0 7 -49 77 -43 12 0 1 0 -8 76 | +| 165 | Catalan:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -2 1 -4 0 1 -6 3 1 -8 10 0 1 -10 21 -4 1 -12 36 -20 0 1 -14 55 -56 5 1 -16 78 -120 35 0 1 | +| 166 | Catalan:Inv:Rev | Diffx1 | missing | 1 1 0 1 -4 0 1 -8 9 0 1 -12 30 -16 0 1 -16 63 -80 25 0 1 -20 108 -224 175 -36 0 1 -24 165 -480 630 | +| 167 | Catalan:Inv:Rev | RowSum | A106510 | 1 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 | +| 168 | Catalan:Inv:Rev | EvenSum | missing | 1 1 1 4 11 27 72 189 493 1292 3383 8855 23184 60697 158905 416020 1089155 2851443 7465176 19544085 | +| 169 | Catalan:Inv:Rev | OddSum | missing | 0 0 -2 -4 -10 -28 -72 -188 -494 -1292 -3382 -8856 -23184 -60696 -158906 -416020 -1089154 -2851444 | +| 170 | Catalan:Inv:Rev | AltSum | A088305 | 1 1 3 8 21 55 144 377 987 2584 6765 17711 46368 121393 317811 832040 2178309 5702887 14930352 | +| 171 | Catalan:Inv:Rev | DiagSum | missing | 1 1 1 -1 -3 -2 3 8 5 -9 -22 -12 27 60 28 -80 -163 -63 235 441 134 -685 -1188 -259 1983 3186 408 | +| 172 | Catalan:Inv:Rev | AccSum | B137241 | 1 2 -1 -2 3 0 -4 4 1 -6 5 2 -8 6 3 -10 7 4 -12 8 5 -14 9 6 -16 10 7 -18 11 8 -20 12 | +| 173 | Catalan:Inv:Rev | AccRevSum | A332057 | 1 1 -3 2 3 -7 4 5 -11 6 7 -15 8 9 -19 10 11 -23 12 13 -27 14 15 -31 16 17 -35 18 19 -39 20 21 | +| 174 | Catalan:Inv:Rev | RowLcm | A099996 | 1 1 2 12 60 840 2520 27720 360360 720720 12252240 232792560 232792560 5354228880 26771144400 | +| 175 | Catalan:Inv:Rev | RowGcd | A286299 | 1 1 2 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 176 | Catalan:Inv:Rev | RowMax | missing | 1 1 2 4 10 21 56 126 330 792 2002 5005 12376 31824 77520 203490 497420 1307504 3268760 8436285 | +| 177 | Catalan:Inv:Rev | ColMiddle | missing | 1 1 -2 -4 10 21 -56 -120 330 715 -2002 -4368 12376 27132 -77520 -170544 490314 1081575 -3124550 | +| 178 | Catalan:Inv:Rev | CentralE | A165817 | 1 -2 10 -56 330 -2002 12376 -77520 490314 -3124550 20030010 -129024480 834451800 -5414950296 | +| 179 | Catalan:Inv:Rev | CentralO | A045721 | 1 -4 21 -120 715 -4368 27132 -170544 1081575 -6906900 44352165 -286097760 1852482996 -12033222880 | +| 180 | Catalan:Inv:Rev | BinConv | A350290 | 1 1 -3 -2 21 -4 -150 155 1029 -2072 -6468 22056 34122 -208857 -106249 1816958 -639067 -14629264 | +| 181 | Catalan:Inv:Rev | InvBinConv | A262440 | 1 -1 5 -22 101 -476 2282 -11075 54245 -267592 1327580 -6617128 33110090 -166215895 836761343 | +| 182 | Catalan:Inv:Rev | TransNat0 | missing | 0 0 -2 2 2 -6 4 4 -10 6 6 -14 8 8 -18 10 10 -22 12 12 -26 14 14 -30 16 16 -34 18 18 -38 20 20 | +| 183 | Catalan:Inv:Rev | TransNat1 | A332057 | 1 1 -3 2 3 -7 4 5 -11 6 7 -15 8 9 -19 10 11 -23 12 13 -27 14 15 -31 16 17 -35 18 19 -39 20 21 | +| 184 | Catalan:Inv:Rev | TransSqrs | missing | 0 0 -2 8 -2 -24 40 -4 -70 96 -6 -140 176 -8 -234 280 -10 -352 408 -12 -494 560 -14 -660 736 -16 | +| 185 | Catalan:Inv:Rev | PosHalf | A084099 | 1 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 2 0 -2 | +| 186 | Catalan:Inv:Rev | NegHalf | B052530 | 1 -2 8 -30 112 -418 1560 -5822 21728 -81090 302632 -1129438 4215120 -15731042 58709048 -219105150 | +| 187 | Catalan:Inv:Rev | DiagRow1 | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 188 | Catalan:Inv:Rev | DiagRow2 | B000292 | 1 -4 10 -20 35 -56 84 -120 165 -220 286 -364 455 -560 680 -816 969 -1140 1330 -1540 1771 -2024 2300 | +| 189 | Catalan:Inv:Rev | DiagRow3 | B000389 | 1 -6 21 -56 126 -252 462 -792 1287 -2002 3003 -4368 6188 -8568 11628 -15504 20349 -26334 33649 | +| 190 | Catalan:Inv:Rev | DiagCol1 | A005843 | 0 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 | +| 191 | Catalan:Inv:Rev | DiagCol2 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | +| 192 | Catalan:Inv:Rev | DiagCol3 | A002492 | 0 -4 -20 -56 -120 -220 -364 -560 -816 -1140 -1540 -2024 -2600 -3276 -4060 -4960 -5984 -7140 -8436 | +| 193 | Catalan:Inv:Rev | Poly | missing | 1 1 1 1 1 1 1 -1 1 1 1 0 -3 1 1 1 1 5 -5 1 1 1 -1 -3 16 -7 1 1 1 0 -11 -35 33 -9 1 1 1 1 45 31 -119 | +| 194 | Catalan:Inv:Rev | PolyRow2 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | +| 195 | Catalan:Inv:Rev | PolyRow3 | A045944 | 1 0 5 16 33 56 85 120 161 208 261 320 385 456 533 616 705 800 901 1008 1121 1240 1365 1496 1633 | +| 196 | Catalan:Inv:Rev | PolyCol2 | A049072 | 1 1 -3 5 -3 -11 45 -91 93 85 -627 1541 -2115 181 7917 -24475 41757 -27371 -84915 364229 -753027 | +| 197 | Catalan:Inv:Rev | PolyCol3 | B190970 | 1 1 -5 16 -35 31 160 -1079 3955 -10064 14725 16951 -217280 933841 -2713685 5163856 -1396115 | +| 198 | Catalan:Inv:Rev | PolyDiag | missing | 1 1 -3 16 -119 1111 -12155 146329 -1770735 16657264 108903421 -16239940441 854302763545 | \ No newline at end of file diff --git a/data/md/CatalanAer.md b/data/md/CatalanAer.md index 4fbc376..83a7c61 100644 --- a/data/md/CatalanAer.md +++ b/data/md/CatalanAer.md @@ -40,114 +40,154 @@ | 37 | CatalanAer:Std | PolyCol2 | A054341 | 1 2 5 12 30 74 185 460 1150 2868 7170 17904 44760 111834 279585 698748 1746870 4366460 10916150 | | 38 | CatalanAer:Std | PolyCol3 | A126931 | 1 3 10 33 110 366 1220 4065 13550 45162 150540 501786 1672620 5575356 18584520 61948257 206494190 | | 39 | CatalanAer:Std | PolyDiag | missing | 1 1 5 33 306 3650 53465 929285 18695950 427313934 10935759042 309766519722 9620876053140 | -| 40 | CatalanAer:Rev | Triangle | A052173 | 1 1 0 1 0 1 1 0 2 0 1 0 3 0 2 1 0 4 0 5 0 1 0 5 0 9 0 5 1 0 6 0 14 0 14 0 1 0 7 0 20 0 28 0 14 1 0 | -| 41 | CatalanAer:Rev | InvRev | A049310 | 1 0 1 -1 0 1 0 -2 0 1 1 0 -3 0 1 0 3 0 -4 0 1 -1 0 6 0 -5 0 1 0 -4 0 10 0 -6 0 1 1 0 -10 0 15 0 -7 | -| 42 | CatalanAer:Rev | Acc | A107430 | 1 1 1 1 1 2 1 1 3 3 1 1 4 4 6 1 1 5 5 10 10 1 1 6 6 15 15 20 1 1 7 7 21 21 35 35 1 1 8 8 28 28 56 | -| 43 | CatalanAer:Rev | AccRev | missing | 1 0 1 1 1 2 0 2 2 3 2 2 5 5 6 0 5 5 9 9 10 5 5 14 14 19 19 20 0 14 14 28 28 34 34 35 14 14 42 42 62 | -| 44 | CatalanAer:Rev | AntiDiag | missing | 1 1 1 0 1 0 1 0 1 1 0 2 1 0 3 0 1 0 4 0 1 0 5 0 2 1 0 6 0 5 1 0 7 0 9 0 1 0 8 0 14 0 1 0 9 0 20 0 5 | -| 45 | CatalanAer:Rev | Diffx1 | missing | 1 1 0 1 0 3 1 0 6 0 1 0 9 0 10 1 0 12 0 25 0 1 0 15 0 45 0 35 1 0 18 0 70 0 98 0 1 0 21 0 100 0 196 | -| 46 | CatalanAer:Rev | RowSum | A001405 | 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 48620 92378 184756 352716 705432 | -| 47 | CatalanAer:Rev | EvenSum | A001405 | 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 48620 92378 184756 352716 705432 | -| 48 | CatalanAer:Rev | AltSum | A001405 | 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 48620 92378 184756 352716 705432 | -| 49 | CatalanAer:Rev | DiagSum | A274112 | 1 1 1 1 2 3 4 5 8 12 17 23 35 52 75 105 157 232 337 480 712 1049 1529 2199 3248 4777 6976 10092 | -| 50 | CatalanAer:Rev | AccSum | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 51 | CatalanAer:Rev | AccRevSum | A296663 | 1 1 4 7 20 38 96 187 444 874 2000 3958 8840 17548 38528 76627 166124 330818 710256 1415650 3016056 | -| 52 | CatalanAer:Rev | RowLcm | missing | 1 1 1 2 6 20 45 42 140 3024 3150 660 207900 34320 21021 450450 2522520 13613600 192972780 4232592 | -| 53 | CatalanAer:Rev | RowGcd | A031230 | 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 | -| 54 | CatalanAer:Rev | RowMax | A101461 | 1 1 1 2 3 5 9 14 28 48 90 165 297 572 1001 2002 3640 7072 13260 25194 48450 90440 177650 326876 | -| 55 | CatalanAer:Rev | ColMiddle | missing | 1 1 0 0 3 4 0 0 20 27 0 0 154 208 0 0 1260 1700 0 0 10659 14364 0 0 92092 123970 0 0 807300 1085760 | -| 56 | CatalanAer:Rev | CentralE | missing | 1 0 3 0 20 0 154 0 1260 0 10659 0 92092 0 807300 0 | -| 57 | CatalanAer:Rev | CentralO | missing | 1 0 4 0 27 0 208 0 1700 0 14364 0 123970 0 1085760 0 | -| 58 | CatalanAer:Rev | ColRight | A126120 | 1 0 1 0 2 0 5 0 14 0 42 0 132 0 429 0 1430 0 4862 0 16796 0 58786 0 208012 0 742900 0 2674440 0 | -| 59 | CatalanAer:Rev | BinConv | A344500 | 1 1 2 7 21 66 216 715 2395 8101 27598 94568 325612 1125632 3904512 13583195 47373255 165585883 | -| 60 | CatalanAer:Rev | InvBinConv | A344500 | 1 -1 2 -7 21 -66 216 -715 2395 -8101 27598 -94568 325612 -1125632 3904512 -13583195 47373255 | -| 61 | CatalanAer:Rev | TransNat0 | missing | 0 0 2 4 14 28 76 152 374 748 1748 3496 7916 15832 35096 70192 153254 306508 661636 1323272 2831300 | -| 62 | CatalanAer:Rev | TransNat1 | A296663 | 1 1 4 7 20 38 96 187 444 874 2000 3958 8840 17548 38528 76627 166124 330818 710256 1415650 3016056 | -| 63 | CatalanAer:Rev | TransSqrs | missing | 0 0 4 8 44 96 344 752 2252 4880 13256 28464 72760 155008 380208 804704 1915916 4033008 9389288 | -| 64 | CatalanAer:Rev | PosHalf | A054341 | 1 2 5 12 30 74 185 460 1150 2868 7170 17904 44760 111834 279585 698748 1746870 4366460 10916150 | -| 65 | CatalanAer:Rev | NegHalf | A054341 | 1 -2 5 -12 30 -74 185 -460 1150 -2868 7170 -17904 44760 -111834 279585 -698748 1746870 -4366460 | -| 66 | CatalanAer:Rev | DiagRow1 | B126120 | 1 0 2 0 5 0 14 0 42 0 132 0 429 0 1430 0 4862 0 16796 0 58786 0 208012 0 742900 0 2674440 0 9694845 | -| 67 | CatalanAer:Rev | DiagRow2 | missing | 1 0 3 0 9 0 28 0 90 0 297 0 1001 0 3432 0 11934 0 41990 0 149226 0 534888 0 1931540 0 7020405 0 | -| 68 | CatalanAer:Rev | DiagRow3 | missing | 1 0 4 0 14 0 48 0 165 0 572 0 2002 0 7072 0 25194 0 90440 0 326876 0 1188640 0 4345965 0 15967980 0 | -| 69 | CatalanAer:Rev | DiagCol2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 70 | CatalanAer:Rev | Poly | missing | 1 1 1 1 1 1 1 2 1 1 1 3 5 1 1 1 6 9 10 1 1 1 10 45 19 17 1 1 1 20 97 190 33 26 1 1 1 35 485 442 561 | -| 71 | CatalanAer:Rev | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 72 | CatalanAer:Rev | PolyRow3 | A058331 | 1 3 9 19 33 51 73 99 129 163 201 243 289 339 393 451 513 579 649 723 801 883 969 1059 1153 1251 | -| 73 | CatalanAer:Rev | PolyCol2 | A121724 | 1 1 5 9 45 97 485 1145 5725 14289 71445 185193 925965 2467137 12335685 33563481 167817405 464221105 | -| 74 | CatalanAer:Rev | PolyCol3 | A121725 | 1 1 10 19 190 442 4420 11395 113950 312814 3128140 8960878 89608780 264735892 2647358920 8006545891 | -| 75 | CatalanAer:Rev | PolyDiag | missing | 1 1 5 19 561 3226 245125 1680995 242303425 1833649246 429075350901 3459304779822 1195433422273585 | -| 76 | CatalanAer:Inv | Triangle | A049310 | 1 0 1 -1 0 1 0 -2 0 1 1 0 -3 0 1 0 3 0 -4 0 1 -1 0 6 0 -5 0 1 0 -4 0 10 0 -6 0 1 1 0 -10 0 15 0 -7 | -| 77 | CatalanAer:Inv | Rev | A053119 | 1 1 0 1 0 -1 1 0 -2 0 1 0 -3 0 1 1 0 -4 0 3 0 1 0 -5 0 6 0 -1 1 0 -6 0 10 0 -4 0 1 0 -7 0 15 0 -10 | -| 78 | CatalanAer:Inv | RevInv | A052173 | 1 1 0 1 0 1 1 0 2 0 1 0 3 0 2 1 0 4 0 5 0 1 0 5 0 9 0 5 1 0 6 0 14 0 14 0 1 0 7 0 20 0 28 0 14 1 0 | -| 79 | CatalanAer:Inv | Acc | missing | 1 0 1 -1 -1 0 0 -2 -2 -1 1 1 -2 -2 -1 0 3 3 -1 -1 0 -1 -1 5 5 0 0 1 0 -4 -4 6 6 0 0 1 1 1 -9 -9 6 6 | -| 80 | CatalanAer:Inv | AccRev | missing | 1 1 1 1 1 0 1 1 -1 -1 1 1 -2 -2 -1 1 1 -3 -3 0 0 1 1 -4 -4 2 2 1 1 1 -5 -5 5 5 1 1 1 1 -6 -6 9 9 -1 | -| 81 | CatalanAer:Inv | AntiDiag | missing | 1 0 -1 1 0 0 1 -2 1 0 0 0 -1 3 -3 1 0 0 0 0 1 -4 6 -4 1 0 0 0 0 0 -1 5 -10 10 -5 1 0 0 0 0 0 0 1 -6 | -| 82 | CatalanAer:Inv | Diffx1 | missing | 1 0 2 -1 0 3 0 -4 0 4 1 0 -9 0 5 0 6 0 -16 0 6 -1 0 18 0 -25 0 7 0 -8 0 40 0 -36 0 8 1 0 -30 0 75 0 | -| 83 | CatalanAer:Inv | RowSum | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | -| 84 | CatalanAer:Inv | EvenSum | A232991 | 1 0 0 0 -1 0 1 0 0 0 -1 0 1 0 0 0 -1 0 1 0 0 0 -1 0 1 0 0 0 -1 0 1 0 | -| 85 | CatalanAer:Inv | OddSum | A189668 | 0 1 0 -1 0 0 0 1 0 -1 0 0 0 1 0 -1 0 0 0 1 0 -1 0 0 0 1 0 -1 0 0 0 1 | -| 86 | CatalanAer:Inv | AltSum | A000484 | 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 | -| 87 | CatalanAer:Inv | AccSum | missing | 1 1 -2 -5 -3 4 9 5 -6 -13 -7 8 17 9 -10 -21 -11 12 25 13 -14 -29 -15 16 33 17 -18 -37 -19 20 41 21 | -| 88 | CatalanAer:Inv | AccRevSum | missing | 1 2 2 0 -3 -4 -1 4 6 2 -5 -8 -3 6 10 4 -7 -12 -5 8 14 6 -9 -16 -7 10 18 8 -11 -20 -9 12 | -| 89 | CatalanAer:Inv | RowLcm | A073618 | 1 1 1 2 3 12 30 60 210 840 1260 2520 13860 27720 180180 360360 180180 720720 6126120 12252240 | -| 90 | CatalanAer:Inv | RowGcd | missing | 1 1 1 2 3 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 | -| 91 | CatalanAer:Inv | RowMax | A073028 | 1 1 1 2 3 4 6 10 15 21 35 56 84 126 210 330 495 792 1287 2002 3003 5005 8008 12376 19448 31824 | -| 92 | CatalanAer:Inv | ColMiddle | missing | 1 0 0 -2 -3 0 0 10 15 0 0 -56 -84 0 0 330 495 0 0 -2002 -3003 0 0 12376 18564 0 0 -77520 -116280 0 | -| 93 | CatalanAer:Inv | CentralE | missing | 1 0 -3 0 15 0 -84 0 495 0 -3003 0 18564 0 -116280 0 | -| 94 | CatalanAer:Inv | CentralO | missing | 0 -2 0 10 0 -56 0 330 0 -2002 0 12376 0 -77520 0 490314 | -| 95 | CatalanAer:Inv | ColLeft | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | -| 96 | CatalanAer:Inv | BinConv | A278415 | 1 1 0 -5 -16 -24 15 197 576 724 -1200 -8832 -22801 -21293 76440 408795 922368 499104 -4446588 | -| 97 | CatalanAer:Inv | InvBinConv | A278415 | 1 1 0 -5 -16 -24 15 197 576 724 -1200 -8832 -22801 -21293 76440 408795 922368 499104 -4446588 | -| 98 | CatalanAer:Inv | TransNat0 | A099254 | 0 1 2 1 -2 -4 -2 3 6 3 -4 -8 -4 5 10 5 -6 -12 -6 7 14 7 -8 -16 -8 9 18 9 -10 -20 -10 11 | -| 99 | CatalanAer:Inv | TransNat1 | missing | 1 2 2 0 -3 -4 -1 4 6 2 -5 -8 -3 6 10 4 -7 -12 -5 8 14 6 -9 -16 -7 10 18 8 -11 -20 -9 12 | -| 100 | CatalanAer:Inv | TransSqrs | missing | 0 1 4 7 4 -8 -20 -15 12 39 32 -16 -64 -55 20 95 84 -24 -132 -119 28 175 160 -32 -224 -207 36 279 | -| 101 | CatalanAer:Inv | PosHalf | A106853 | 1 1 -3 -7 5 33 13 -119 -171 305 989 -231 -4187 -3263 13485 26537 -27403 -133551 -23939 510265 | -| 102 | CatalanAer:Inv | NegHalf | A106853 | 1 1 -3 -7 5 33 13 -119 -171 305 989 -231 -4187 -3263 13485 26537 -27403 -133551 -23939 510265 | -| 103 | CatalanAer:Inv | DiagRow2 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | -| 104 | CatalanAer:Inv | DiagCol1 | A027656 | 1 0 -2 0 3 0 -4 0 5 0 -6 0 7 0 -8 0 9 0 -10 0 11 0 -12 0 13 0 -14 0 15 0 -16 0 | -| 105 | CatalanAer:Inv | DiagCol2 | missing | 1 0 -3 0 6 0 -10 0 15 0 -21 0 28 0 -36 0 45 0 -55 0 66 0 -78 0 91 0 -105 0 120 0 -136 0 | -| 106 | CatalanAer:Inv | DiagCol3 | missing | 1 0 -4 0 10 0 -20 0 35 0 -56 0 84 0 -120 0 165 0 -220 0 286 0 -364 0 455 0 -560 0 680 0 -816 0 | -| 107 | CatalanAer:Inv | Poly | missing | 1 0 1 -1 1 1 0 0 2 1 1 -1 3 3 1 0 -1 4 8 4 1 -1 0 5 21 15 5 1 0 1 6 55 56 24 6 1 1 1 7 144 209 115 | -| 108 | CatalanAer:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 109 | CatalanAer:Inv | PolyRow2 | A131386 | -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | -| 110 | CatalanAer:Inv | PolyRow3 | A242135 | 0 -1 4 21 56 115 204 329 496 711 980 1309 1704 2171 2716 3345 4064 4879 5796 6821 7960 9219 10604 | -| 111 | CatalanAer:Inv | PolyCol2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 112 | CatalanAer:Inv | PolyCol3 | B001906 | 1 3 8 21 55 144 377 987 2584 6765 17711 46368 121393 317811 832040 2178309 5702887 14930352 | -| 113 | CatalanAer:Inv | PolyDiag | A097690 | 1 1 3 21 209 2640 40391 726103 15003009 350382231 9127651499 262424759520 8254109243953 | -| 114 | CatalanAer:Inv:Rev | Triangle | A053119 | 1 1 0 1 0 -1 1 0 -2 0 1 0 -3 0 1 1 0 -4 0 3 0 1 0 -5 0 6 0 -1 1 0 -6 0 10 0 -4 0 1 0 -7 0 15 0 -10 | -| 115 | CatalanAer:Inv:Rev | Rev | A049310 | 1 0 1 -1 0 1 0 -2 0 1 1 0 -3 0 1 0 3 0 -4 0 1 -1 0 6 0 -5 0 1 0 -4 0 10 0 -6 0 1 1 0 -10 0 15 0 -7 | -| 116 | CatalanAer:Inv:Rev | InvRev | A053121 | 1 0 1 1 0 1 0 2 0 1 2 0 3 0 1 0 5 0 4 0 1 5 0 9 0 5 0 1 0 14 0 14 0 6 0 1 14 0 28 0 20 0 7 0 1 0 42 | -| 117 | CatalanAer:Inv:Rev | Acc | missing | 1 1 1 1 1 0 1 1 -1 -1 1 1 -2 -2 -1 1 1 -3 -3 0 0 1 1 -4 -4 2 2 1 1 1 -5 -5 5 5 1 1 1 1 -6 -6 9 9 -1 | -| 118 | CatalanAer:Inv:Rev | AccRev | missing | 1 0 1 -1 -1 0 0 -2 -2 -1 1 1 -2 -2 -1 0 3 3 -1 -1 0 -1 -1 5 5 0 0 1 0 -4 -4 6 6 0 0 1 1 1 -9 -9 6 6 | -| 119 | CatalanAer:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 0 1 0 -1 1 0 -2 1 0 -3 0 1 0 -4 0 1 0 -5 0 1 1 0 -6 0 3 1 0 -7 0 6 0 1 0 -8 0 10 0 1 0 -9 | -| 120 | CatalanAer:Inv:Rev | Diffx1 | missing | 1 1 0 1 0 -3 1 0 -6 0 1 0 -9 0 5 1 0 -12 0 15 0 1 0 -15 0 30 0 -7 1 0 -18 0 50 0 -28 0 1 0 -21 0 75 | -| 121 | CatalanAer:Inv:Rev | RowSum | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | -| 122 | CatalanAer:Inv:Rev | EvenSum | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | -| 123 | CatalanAer:Inv:Rev | AltSum | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | -| 124 | CatalanAer:Inv:Rev | DiagSum | A099530 | 1 1 1 1 0 -1 -2 -3 -3 -2 0 3 6 8 8 5 -1 -9 -17 -22 -21 -12 5 27 48 60 55 28 -20 -80 -135 -163 | -| 125 | CatalanAer:Inv:Rev | AccSum | missing | 1 2 2 0 -3 -4 -1 4 6 2 -5 -8 -3 6 10 4 -7 -12 -5 8 14 6 -9 -16 -7 10 18 8 -11 -20 -9 12 | -| 126 | CatalanAer:Inv:Rev | AccRevSum | missing | 1 1 -2 -5 -3 4 9 5 -6 -13 -7 8 17 9 -10 -21 -11 12 25 13 -14 -29 -15 16 33 17 -18 -37 -19 20 41 21 | -| 127 | CatalanAer:Inv:Rev | RowLcm | A073618 | 1 1 1 2 3 12 30 60 210 840 1260 2520 13860 27720 180180 360360 180180 720720 6126120 12252240 | -| 128 | CatalanAer:Inv:Rev | RowGcd | missing | 1 1 1 2 3 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 | -| 129 | CatalanAer:Inv:Rev | RowMax | A073028 | 1 1 1 2 3 4 6 10 15 21 35 56 84 126 210 330 495 792 1287 2002 3003 5005 8008 12376 19448 31824 | -| 130 | CatalanAer:Inv:Rev | ColMiddle | missing | 1 1 0 0 -3 -4 0 0 15 21 0 0 -84 -120 0 0 495 715 0 0 -3003 -4368 0 0 18564 27132 0 0 -116280 | -| 131 | CatalanAer:Inv:Rev | CentralE | missing | 1 0 -3 0 15 0 -84 0 495 0 -3003 0 18564 0 -116280 0 | -| 132 | CatalanAer:Inv:Rev | CentralO | missing | 1 0 -4 0 21 0 -120 0 715 0 -4368 0 27132 0 -170544 0 | -| 133 | CatalanAer:Inv:Rev | ColRight | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | -| 134 | CatalanAer:Inv:Rev | BinConv | A278415 | 1 1 0 -5 -16 -24 15 197 576 724 -1200 -8832 -22801 -21293 76440 408795 922368 499104 -4446588 | -| 135 | CatalanAer:Inv:Rev | InvBinConv | A278415 | 1 -1 0 5 -16 24 15 -197 576 -724 -1200 8832 -22801 21293 76440 -408795 922368 -499104 -4446588 | -| 136 | CatalanAer:Inv:Rev | TransNat0 | missing | 0 0 -2 -4 -2 4 8 4 -6 -12 -6 8 16 8 -10 -20 -10 12 24 12 -14 -28 -14 16 32 16 -18 -36 -18 20 40 20 | -| 137 | CatalanAer:Inv:Rev | TransNat1 | missing | 1 1 -2 -5 -3 4 9 5 -6 -13 -7 8 17 9 -10 -21 -11 12 25 13 -14 -29 -15 16 33 17 -18 -37 -19 20 41 21 | -| 138 | CatalanAer:Inv:Rev | TransSqrs | missing | 0 0 -4 -8 4 32 40 -8 -84 -96 12 160 176 -16 -260 -280 20 384 408 -24 -532 -560 28 704 736 -32 -900 | -| 139 | CatalanAer:Inv:Rev | PosHalf | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 140 | CatalanAer:Inv:Rev | NegHalf | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | -| 141 | CatalanAer:Inv:Rev | DiagRow1 | A027656 | 1 0 -2 0 3 0 -4 0 5 0 -6 0 7 0 -8 0 9 0 -10 0 11 0 -12 0 13 0 -14 0 15 0 -16 0 | -| 142 | CatalanAer:Inv:Rev | DiagRow2 | missing | 1 0 -3 0 6 0 -10 0 15 0 -21 0 28 0 -36 0 45 0 -55 0 66 0 -78 0 91 0 -105 0 120 0 -136 0 | -| 143 | CatalanAer:Inv:Rev | DiagRow3 | missing | 1 0 -4 0 10 0 -20 0 35 0 -56 0 84 0 -120 0 165 0 -220 0 286 0 -364 0 455 0 -560 0 680 0 -816 0 | -| 144 | CatalanAer:Inv:Rev | DiagCol2 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | -| 145 | CatalanAer:Inv:Rev | Poly | missing | 1 1 1 1 1 1 1 0 1 1 1 -1 -3 1 1 1 -1 -7 -8 1 1 1 0 5 -17 -15 1 1 1 1 33 55 -31 -24 1 1 1 1 13 208 | -| 146 | CatalanAer:Inv:Rev | PolyRow2 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | -| 147 | CatalanAer:Inv:Rev | PolyRow3 | A056220 | 1 -1 -7 -17 -31 -49 -71 -97 -127 -161 -199 -241 -287 -337 -391 -449 -511 -577 -647 -721 -799 -881 | -| 148 | CatalanAer:Inv:Rev | PolyCol2 | A106853 | 1 1 -3 -7 5 33 13 -119 -171 305 989 -231 -4187 -3263 13485 26537 -27403 -133551 -23939 510265 | -| 149 | CatalanAer:Inv:Rev | PolyCol3 | A146078 | 1 1 -8 -17 55 208 -287 -2159 424 19855 16039 -162656 -307007 1156897 3919960 -6492113 -41771753 | -| 150 | CatalanAer:Inv:Rev | PolyDiag | missing | 1 1 -3 -17 209 1776 -39059 -446879 14216769 204741919 -8534720899 -148220668320 7645684627153 | \ No newline at end of file +| 40 | CatalanAer:Alt | Triangle | A053121 | 1 0 -1 1 0 1 0 -2 0 -1 2 0 3 0 1 0 -5 0 -4 0 -1 5 0 9 0 5 0 1 0 -14 0 -14 0 -6 0 -1 14 0 28 0 20 0 | +| 41 | CatalanAer:Alt | Rev | A052173 | 1 -1 0 1 0 1 -1 0 -2 0 1 0 3 0 2 -1 0 -4 0 -5 0 1 0 5 0 9 0 5 -1 0 -6 0 -14 0 -14 0 1 0 7 0 20 0 28 | +| 42 | CatalanAer:Alt | Inv | A049310 | 1 0 1 -1 0 1 0 2 0 1 1 0 -3 0 1 0 13 0 4 0 1 -1 0 6 0 -5 0 1 0 120 0 38 0 6 0 1 1 0 -10 0 15 0 -7 0 | +| 43 | CatalanAer:Alt | RevInv | A053119 | 1 1 0 1 0 -1 1 0 2 0 1 0 -3 0 1 1 0 4 0 13 0 1 0 -5 0 6 0 -1 1 0 6 0 38 0 120 0 1 0 -7 0 15 0 -10 0 | +| 44 | CatalanAer:Alt | Acc | missing | 1 0 -1 1 1 2 0 -2 -2 -3 2 2 5 5 6 0 -5 -5 -9 -9 -10 5 5 14 14 19 19 20 0 -14 -14 -28 -28 -34 -34 | +| 45 | CatalanAer:Alt | AccRev | A107430 | 1 -1 -1 1 1 2 -1 -1 -3 -3 1 1 4 4 6 -1 -1 -5 -5 -10 -10 1 1 6 6 15 15 20 -1 -1 -7 -7 -21 -21 -35 | +| 46 | CatalanAer:Alt | AntiDiag | missing | 1 0 1 -1 0 0 2 -2 1 0 0 0 5 -5 3 -1 0 0 0 0 14 -14 9 -4 1 0 0 0 0 0 42 -42 28 -14 5 -1 0 0 0 0 0 0 | +| 47 | CatalanAer:Alt | Diffx1 | missing | 1 0 -2 1 0 3 0 -4 0 -4 2 0 9 0 5 0 -10 0 -16 0 -6 5 0 27 0 25 0 7 0 -28 0 -56 0 -36 0 -8 14 0 84 0 | +| 48 | CatalanAer:Alt | RowSum | A001405 | 1 -1 2 -3 6 -10 20 -35 70 -126 252 -462 924 -1716 3432 -6435 12870 -24310 48620 -92378 184756 | +| 49 | CatalanAer:Alt | EvenSum | A126869 | 1 0 2 0 6 0 20 0 70 0 252 0 924 0 3432 0 12870 0 48620 0 184756 0 705432 0 2704156 0 10400600 0 | +| 50 | CatalanAer:Alt | OddSum | A138364 | 0 -1 0 -3 0 -10 0 -35 0 -126 0 -462 0 -1716 0 -6435 0 -24310 0 -92378 0 -352716 0 -1352078 0 | +| 51 | CatalanAer:Alt | AltSum | A001405 | 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 48620 92378 184756 352716 705432 | +| 52 | CatalanAer:Alt | DiagSum | missing | 1 0 0 0 1 0 2 0 6 0 18 0 57 0 186 0 622 0 2120 0 7338 0 25724 0 91144 0 325878 0 1174281 0 4260282 | +| 53 | CatalanAer:Alt | AccSum | A296663 | 1 -1 4 -7 20 -38 96 -187 444 -874 2000 -3958 8840 -17548 38528 -76627 166124 -330818 710256 | +| 54 | CatalanAer:Alt | AccRevSum | A000079 | 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 -524288 | +| 55 | CatalanAer:Alt | RowLcm | missing | 1 1 1 2 6 20 45 42 140 3024 3150 660 207900 34320 21021 450450 2522520 13613600 192972780 4232592 | +| 56 | CatalanAer:Alt | RowGcd | A031230 | 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 | +| 57 | CatalanAer:Alt | RowMax | A101461 | 1 1 1 2 3 5 9 14 28 48 90 165 297 572 1001 2002 3640 7072 13260 25194 48450 90440 177650 326876 | +| 58 | CatalanAer:Alt | ColMiddle | missing | 1 0 0 -2 3 0 0 -14 20 0 0 -110 154 0 0 -910 1260 0 0 -7752 10659 0 0 -67298 92092 0 0 -592020 | +| 59 | CatalanAer:Alt | CentralE | missing | 1 0 3 0 20 0 154 0 1260 0 10659 0 92092 0 807300 0 | +| 60 | CatalanAer:Alt | CentralO | missing | 0 -2 0 -14 0 -110 0 -910 0 -7752 0 -67298 0 -592020 0 -5259150 | +| 61 | CatalanAer:Alt | ColLeft | A126120 | 1 0 1 0 2 0 5 0 14 0 42 0 132 0 429 0 1430 0 4862 0 16796 0 58786 0 208012 0 742900 0 2674440 0 | +| 62 | CatalanAer:Alt | BinConv | A344500 | 1 -1 2 -7 21 -66 216 -715 2395 -8101 27598 -94568 325612 -1125632 3904512 -13583195 47373255 | +| 63 | CatalanAer:Alt | InvBinConv | A344500 | 1 -1 2 -7 21 -66 216 -715 2395 -8101 27598 -94568 325612 -1125632 3904512 -13583195 47373255 | +| 64 | CatalanAer:Alt | TransNat0 | A045621 | 0 -1 2 -5 10 -22 44 -93 186 -386 772 -1586 3172 -6476 12952 -26333 52666 -106762 213524 -431910 | +| 65 | CatalanAer:Alt | TransNat1 | A000079 | 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 -524288 | +| 66 | CatalanAer:Alt | TransSqrs | missing | 0 -1 4 -11 28 -66 152 -339 748 -1622 3496 -7454 15832 -33380 70192 -146819 306508 -637326 1323272 | +| 67 | CatalanAer:Alt | PosHalf | A121724 | 1 -1 5 -9 45 -97 485 -1145 5725 -14289 71445 -185193 925965 -2467137 12335685 -33563481 167817405 | +| 68 | CatalanAer:Alt | NegHalf | A121724 | 1 -1 5 -9 45 -97 485 -1145 5725 -14289 71445 -185193 925965 -2467137 12335685 -33563481 167817405 | +| 69 | CatalanAer:Alt | DiagRow2 | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 70 | CatalanAer:Alt | DiagCol1 | B210628 | -1 0 -2 0 -5 0 -14 0 -42 0 -132 0 -429 0 -1430 0 -4862 0 -16796 0 -58786 0 -208012 0 -742900 0 | +| 71 | CatalanAer:Alt | DiagCol2 | missing | 1 0 3 0 9 0 28 0 90 0 297 0 1001 0 3432 0 11934 0 41990 0 149226 0 534888 0 1931540 0 7020405 0 | +| 72 | CatalanAer:Alt | DiagCol3 | missing | -1 0 -4 0 -14 0 -48 0 -165 0 -572 0 -2002 0 -7072 0 -25194 0 -90440 0 -326876 0 -1188640 0 -4345965 | +| 73 | CatalanAer:Alt | Poly | A330608 | 1 0 1 1 -1 1 0 2 -2 1 2 -3 5 -3 1 0 6 -12 10 -4 1 5 -10 30 -33 17 -5 1 0 20 -74 110 -72 26 -6 1 14 | +| 74 | CatalanAer:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | CatalanAer:Alt | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 76 | CatalanAer:Alt | PolyRow3 | A054602 | 0 -3 -12 -33 -72 -135 -228 -357 -528 -747 -1020 -1353 -1752 -2223 -2772 -3405 -4128 -4947 -5868 | +| 77 | CatalanAer:Alt | PolyCol2 | A054341 | 1 -2 5 -12 30 -74 185 -460 1150 -2868 7170 -17904 44760 -111834 279585 -698748 1746870 -4366460 | +| 78 | CatalanAer:Alt | PolyCol3 | A126931 | 1 -3 10 -33 110 -366 1220 -4065 13550 -45162 150540 -501786 1672620 -5575356 18584520 -61948257 | +| 79 | CatalanAer:Alt | PolyDiag | missing | 1 -1 5 -33 306 -3650 53465 -929285 18695950 -427313934 10935759042 -309766519722 9620876053140 | +| 80 | CatalanAer:Rev | Triangle | A052173 | 1 1 0 1 0 1 1 0 2 0 1 0 3 0 2 1 0 4 0 5 0 1 0 5 0 9 0 5 1 0 6 0 14 0 14 0 1 0 7 0 20 0 28 0 14 1 0 | +| 81 | CatalanAer:Rev | InvRev | A049310 | 1 0 1 -1 0 1 0 -2 0 1 1 0 -3 0 1 0 3 0 -4 0 1 -1 0 6 0 -5 0 1 0 -4 0 10 0 -6 0 1 1 0 -10 0 15 0 -7 | +| 82 | CatalanAer:Rev | Acc | A107430 | 1 1 1 1 1 2 1 1 3 3 1 1 4 4 6 1 1 5 5 10 10 1 1 6 6 15 15 20 1 1 7 7 21 21 35 35 1 1 8 8 28 28 56 | +| 83 | CatalanAer:Rev | AccRev | missing | 1 0 1 1 1 2 0 2 2 3 2 2 5 5 6 0 5 5 9 9 10 5 5 14 14 19 19 20 0 14 14 28 28 34 34 35 14 14 42 42 62 | +| 84 | CatalanAer:Rev | AntiDiag | missing | 1 1 1 0 1 0 1 0 1 1 0 2 1 0 3 0 1 0 4 0 1 0 5 0 2 1 0 6 0 5 1 0 7 0 9 0 1 0 8 0 14 0 1 0 9 0 20 0 5 | +| 85 | CatalanAer:Rev | Diffx1 | missing | 1 1 0 1 0 3 1 0 6 0 1 0 9 0 10 1 0 12 0 25 0 1 0 15 0 45 0 35 1 0 18 0 70 0 98 0 1 0 21 0 100 0 196 | +| 86 | CatalanAer:Rev | RowSum | A001405 | 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 48620 92378 184756 352716 705432 | +| 87 | CatalanAer:Rev | EvenSum | A001405 | 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 48620 92378 184756 352716 705432 | +| 88 | CatalanAer:Rev | AltSum | A001405 | 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 48620 92378 184756 352716 705432 | +| 89 | CatalanAer:Rev | DiagSum | A274112 | 1 1 1 1 2 3 4 5 8 12 17 23 35 52 75 105 157 232 337 480 712 1049 1529 2199 3248 4777 6976 10092 | +| 90 | CatalanAer:Rev | AccSum | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 91 | CatalanAer:Rev | AccRevSum | A296663 | 1 1 4 7 20 38 96 187 444 874 2000 3958 8840 17548 38528 76627 166124 330818 710256 1415650 3016056 | +| 92 | CatalanAer:Rev | RowLcm | missing | 1 1 1 2 6 20 45 42 140 3024 3150 660 207900 34320 21021 450450 2522520 13613600 192972780 4232592 | +| 93 | CatalanAer:Rev | RowGcd | A031230 | 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 | +| 94 | CatalanAer:Rev | RowMax | A101461 | 1 1 1 2 3 5 9 14 28 48 90 165 297 572 1001 2002 3640 7072 13260 25194 48450 90440 177650 326876 | +| 95 | CatalanAer:Rev | ColMiddle | missing | 1 1 0 0 3 4 0 0 20 27 0 0 154 208 0 0 1260 1700 0 0 10659 14364 0 0 92092 123970 0 0 807300 1085760 | +| 96 | CatalanAer:Rev | CentralE | missing | 1 0 3 0 20 0 154 0 1260 0 10659 0 92092 0 807300 0 | +| 97 | CatalanAer:Rev | CentralO | missing | 1 0 4 0 27 0 208 0 1700 0 14364 0 123970 0 1085760 0 | +| 98 | CatalanAer:Rev | ColRight | A126120 | 1 0 1 0 2 0 5 0 14 0 42 0 132 0 429 0 1430 0 4862 0 16796 0 58786 0 208012 0 742900 0 2674440 0 | +| 99 | CatalanAer:Rev | BinConv | A344500 | 1 1 2 7 21 66 216 715 2395 8101 27598 94568 325612 1125632 3904512 13583195 47373255 165585883 | +| 100 | CatalanAer:Rev | InvBinConv | A344500 | 1 -1 2 -7 21 -66 216 -715 2395 -8101 27598 -94568 325612 -1125632 3904512 -13583195 47373255 | +| 101 | CatalanAer:Rev | TransNat0 | missing | 0 0 2 4 14 28 76 152 374 748 1748 3496 7916 15832 35096 70192 153254 306508 661636 1323272 2831300 | +| 102 | CatalanAer:Rev | TransNat1 | A296663 | 1 1 4 7 20 38 96 187 444 874 2000 3958 8840 17548 38528 76627 166124 330818 710256 1415650 3016056 | +| 103 | CatalanAer:Rev | TransSqrs | missing | 0 0 4 8 44 96 344 752 2252 4880 13256 28464 72760 155008 380208 804704 1915916 4033008 9389288 | +| 104 | CatalanAer:Rev | PosHalf | A054341 | 1 2 5 12 30 74 185 460 1150 2868 7170 17904 44760 111834 279585 698748 1746870 4366460 10916150 | +| 105 | CatalanAer:Rev | NegHalf | A054341 | 1 -2 5 -12 30 -74 185 -460 1150 -2868 7170 -17904 44760 -111834 279585 -698748 1746870 -4366460 | +| 106 | CatalanAer:Rev | DiagRow1 | B126120 | 1 0 2 0 5 0 14 0 42 0 132 0 429 0 1430 0 4862 0 16796 0 58786 0 208012 0 742900 0 2674440 0 9694845 | +| 107 | CatalanAer:Rev | DiagRow2 | missing | 1 0 3 0 9 0 28 0 90 0 297 0 1001 0 3432 0 11934 0 41990 0 149226 0 534888 0 1931540 0 7020405 0 | +| 108 | CatalanAer:Rev | DiagRow3 | missing | 1 0 4 0 14 0 48 0 165 0 572 0 2002 0 7072 0 25194 0 90440 0 326876 0 1188640 0 4345965 0 15967980 0 | +| 109 | CatalanAer:Rev | DiagCol2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 110 | CatalanAer:Rev | Poly | missing | 1 1 1 1 1 1 1 2 1 1 1 3 5 1 1 1 6 9 10 1 1 1 10 45 19 17 1 1 1 20 97 190 33 26 1 1 1 35 485 442 561 | +| 111 | CatalanAer:Rev | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 112 | CatalanAer:Rev | PolyRow3 | A058331 | 1 3 9 19 33 51 73 99 129 163 201 243 289 339 393 451 513 579 649 723 801 883 969 1059 1153 1251 | +| 113 | CatalanAer:Rev | PolyCol2 | A121724 | 1 1 5 9 45 97 485 1145 5725 14289 71445 185193 925965 2467137 12335685 33563481 167817405 464221105 | +| 114 | CatalanAer:Rev | PolyCol3 | A121725 | 1 1 10 19 190 442 4420 11395 113950 312814 3128140 8960878 89608780 264735892 2647358920 8006545891 | +| 115 | CatalanAer:Rev | PolyDiag | missing | 1 1 5 19 561 3226 245125 1680995 242303425 1833649246 429075350901 3459304779822 1195433422273585 | +| 116 | CatalanAer:Inv | Triangle | A049310 | 1 0 1 -1 0 1 0 -2 0 1 1 0 -3 0 1 0 3 0 -4 0 1 -1 0 6 0 -5 0 1 0 -4 0 10 0 -6 0 1 1 0 -10 0 15 0 -7 | +| 117 | CatalanAer:Inv | Rev | A053119 | 1 1 0 1 0 -1 1 0 -2 0 1 0 -3 0 1 1 0 -4 0 3 0 1 0 -5 0 6 0 -1 1 0 -6 0 10 0 -4 0 1 0 -7 0 15 0 -10 | +| 118 | CatalanAer:Inv | RevInv | A052173 | 1 1 0 1 0 1 1 0 2 0 1 0 3 0 2 1 0 4 0 5 0 1 0 5 0 9 0 5 1 0 6 0 14 0 14 0 1 0 7 0 20 0 28 0 14 1 0 | +| 119 | CatalanAer:Inv | Acc | missing | 1 0 1 -1 -1 0 0 -2 -2 -1 1 1 -2 -2 -1 0 3 3 -1 -1 0 -1 -1 5 5 0 0 1 0 -4 -4 6 6 0 0 1 1 1 -9 -9 6 6 | +| 120 | CatalanAer:Inv | AccRev | missing | 1 1 1 1 1 0 1 1 -1 -1 1 1 -2 -2 -1 1 1 -3 -3 0 0 1 1 -4 -4 2 2 1 1 1 -5 -5 5 5 1 1 1 1 -6 -6 9 9 -1 | +| 121 | CatalanAer:Inv | AntiDiag | missing | 1 0 -1 1 0 0 1 -2 1 0 0 0 -1 3 -3 1 0 0 0 0 1 -4 6 -4 1 0 0 0 0 0 -1 5 -10 10 -5 1 0 0 0 0 0 0 1 -6 | +| 122 | CatalanAer:Inv | Diffx1 | missing | 1 0 2 -1 0 3 0 -4 0 4 1 0 -9 0 5 0 6 0 -16 0 6 -1 0 18 0 -25 0 7 0 -8 0 40 0 -36 0 8 1 0 -30 0 75 0 | +| 123 | CatalanAer:Inv | RowSum | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | +| 124 | CatalanAer:Inv | EvenSum | A232991 | 1 0 0 0 -1 0 1 0 0 0 -1 0 1 0 0 0 -1 0 1 0 0 0 -1 0 1 0 0 0 -1 0 1 0 | +| 125 | CatalanAer:Inv | OddSum | A189668 | 0 1 0 -1 0 0 0 1 0 -1 0 0 0 1 0 -1 0 0 0 1 0 -1 0 0 0 1 0 -1 0 0 0 1 | +| 126 | CatalanAer:Inv | AltSum | A000484 | 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 | +| 127 | CatalanAer:Inv | AccSum | missing | 1 1 -2 -5 -3 4 9 5 -6 -13 -7 8 17 9 -10 -21 -11 12 25 13 -14 -29 -15 16 33 17 -18 -37 -19 20 41 21 | +| 128 | CatalanAer:Inv | AccRevSum | missing | 1 2 2 0 -3 -4 -1 4 6 2 -5 -8 -3 6 10 4 -7 -12 -5 8 14 6 -9 -16 -7 10 18 8 -11 -20 -9 12 | +| 129 | CatalanAer:Inv | RowLcm | A073618 | 1 1 1 2 3 12 30 60 210 840 1260 2520 13860 27720 180180 360360 180180 720720 6126120 12252240 | +| 130 | CatalanAer:Inv | RowGcd | missing | 1 1 1 2 3 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 | +| 131 | CatalanAer:Inv | RowMax | A073028 | 1 1 1 2 3 4 6 10 15 21 35 56 84 126 210 330 495 792 1287 2002 3003 5005 8008 12376 19448 31824 | +| 132 | CatalanAer:Inv | ColMiddle | missing | 1 0 0 -2 -3 0 0 10 15 0 0 -56 -84 0 0 330 495 0 0 -2002 -3003 0 0 12376 18564 0 0 -77520 -116280 0 | +| 133 | CatalanAer:Inv | CentralE | missing | 1 0 -3 0 15 0 -84 0 495 0 -3003 0 18564 0 -116280 0 | +| 134 | CatalanAer:Inv | CentralO | missing | 0 -2 0 10 0 -56 0 330 0 -2002 0 12376 0 -77520 0 490314 | +| 135 | CatalanAer:Inv | ColLeft | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | +| 136 | CatalanAer:Inv | BinConv | A278415 | 1 1 0 -5 -16 -24 15 197 576 724 -1200 -8832 -22801 -21293 76440 408795 922368 499104 -4446588 | +| 137 | CatalanAer:Inv | InvBinConv | A278415 | 1 1 0 -5 -16 -24 15 197 576 724 -1200 -8832 -22801 -21293 76440 408795 922368 499104 -4446588 | +| 138 | CatalanAer:Inv | TransNat0 | A099254 | 0 1 2 1 -2 -4 -2 3 6 3 -4 -8 -4 5 10 5 -6 -12 -6 7 14 7 -8 -16 -8 9 18 9 -10 -20 -10 11 | +| 139 | CatalanAer:Inv | TransNat1 | missing | 1 2 2 0 -3 -4 -1 4 6 2 -5 -8 -3 6 10 4 -7 -12 -5 8 14 6 -9 -16 -7 10 18 8 -11 -20 -9 12 | +| 140 | CatalanAer:Inv | TransSqrs | missing | 0 1 4 7 4 -8 -20 -15 12 39 32 -16 -64 -55 20 95 84 -24 -132 -119 28 175 160 -32 -224 -207 36 279 | +| 141 | CatalanAer:Inv | PosHalf | A106853 | 1 1 -3 -7 5 33 13 -119 -171 305 989 -231 -4187 -3263 13485 26537 -27403 -133551 -23939 510265 | +| 142 | CatalanAer:Inv | NegHalf | A106853 | 1 1 -3 -7 5 33 13 -119 -171 305 989 -231 -4187 -3263 13485 26537 -27403 -133551 -23939 510265 | +| 143 | CatalanAer:Inv | DiagRow2 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | +| 144 | CatalanAer:Inv | DiagCol1 | A027656 | 1 0 -2 0 3 0 -4 0 5 0 -6 0 7 0 -8 0 9 0 -10 0 11 0 -12 0 13 0 -14 0 15 0 -16 0 | +| 145 | CatalanAer:Inv | DiagCol2 | missing | 1 0 -3 0 6 0 -10 0 15 0 -21 0 28 0 -36 0 45 0 -55 0 66 0 -78 0 91 0 -105 0 120 0 -136 0 | +| 146 | CatalanAer:Inv | DiagCol3 | missing | 1 0 -4 0 10 0 -20 0 35 0 -56 0 84 0 -120 0 165 0 -220 0 286 0 -364 0 455 0 -560 0 680 0 -816 0 | +| 147 | CatalanAer:Inv | Poly | missing | 1 0 1 -1 1 1 0 0 2 1 1 -1 3 3 1 0 -1 4 8 4 1 -1 0 5 21 15 5 1 0 1 6 55 56 24 6 1 1 1 7 144 209 115 | +| 148 | CatalanAer:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 149 | CatalanAer:Inv | PolyRow2 | A131386 | -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 150 | CatalanAer:Inv | PolyRow3 | A242135 | 0 -1 4 21 56 115 204 329 496 711 980 1309 1704 2171 2716 3345 4064 4879 5796 6821 7960 9219 10604 | +| 151 | CatalanAer:Inv | PolyCol2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 152 | CatalanAer:Inv | PolyCol3 | B001906 | 1 3 8 21 55 144 377 987 2584 6765 17711 46368 121393 317811 832040 2178309 5702887 14930352 | +| 153 | CatalanAer:Inv | PolyDiag | A097690 | 1 1 3 21 209 2640 40391 726103 15003009 350382231 9127651499 262424759520 8254109243953 | +| 154 | CatalanAer:Inv:Rev | Triangle | A053119 | 1 1 0 1 0 -1 1 0 -2 0 1 0 -3 0 1 1 0 -4 0 3 0 1 0 -5 0 6 0 -1 1 0 -6 0 10 0 -4 0 1 0 -7 0 15 0 -10 | +| 155 | CatalanAer:Inv:Rev | Rev | A049310 | 1 0 1 -1 0 1 0 -2 0 1 1 0 -3 0 1 0 3 0 -4 0 1 -1 0 6 0 -5 0 1 0 -4 0 10 0 -6 0 1 1 0 -10 0 15 0 -7 | +| 156 | CatalanAer:Inv:Rev | InvRev | A053121 | 1 0 1 1 0 1 0 2 0 1 2 0 3 0 1 0 5 0 4 0 1 5 0 9 0 5 0 1 0 14 0 14 0 6 0 1 14 0 28 0 20 0 7 0 1 0 42 | +| 157 | CatalanAer:Inv:Rev | Acc | missing | 1 1 1 1 1 0 1 1 -1 -1 1 1 -2 -2 -1 1 1 -3 -3 0 0 1 1 -4 -4 2 2 1 1 1 -5 -5 5 5 1 1 1 1 -6 -6 9 9 -1 | +| 158 | CatalanAer:Inv:Rev | AccRev | missing | 1 0 1 -1 -1 0 0 -2 -2 -1 1 1 -2 -2 -1 0 3 3 -1 -1 0 -1 -1 5 5 0 0 1 0 -4 -4 6 6 0 0 1 1 1 -9 -9 6 6 | +| 159 | CatalanAer:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 0 1 0 -1 1 0 -2 1 0 -3 0 1 0 -4 0 1 0 -5 0 1 1 0 -6 0 3 1 0 -7 0 6 0 1 0 -8 0 10 0 1 0 -9 | +| 160 | CatalanAer:Inv:Rev | Diffx1 | missing | 1 1 0 1 0 -3 1 0 -6 0 1 0 -9 0 5 1 0 -12 0 15 0 1 0 -15 0 30 0 -7 1 0 -18 0 50 0 -28 0 1 0 -21 0 75 | +| 161 | CatalanAer:Inv:Rev | RowSum | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | +| 162 | CatalanAer:Inv:Rev | EvenSum | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | +| 163 | CatalanAer:Inv:Rev | AltSum | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | +| 164 | CatalanAer:Inv:Rev | DiagSum | A099530 | 1 1 1 1 0 -1 -2 -3 -3 -2 0 3 6 8 8 5 -1 -9 -17 -22 -21 -12 5 27 48 60 55 28 -20 -80 -135 -163 | +| 165 | CatalanAer:Inv:Rev | AccSum | missing | 1 2 2 0 -3 -4 -1 4 6 2 -5 -8 -3 6 10 4 -7 -12 -5 8 14 6 -9 -16 -7 10 18 8 -11 -20 -9 12 | +| 166 | CatalanAer:Inv:Rev | AccRevSum | missing | 1 1 -2 -5 -3 4 9 5 -6 -13 -7 8 17 9 -10 -21 -11 12 25 13 -14 -29 -15 16 33 17 -18 -37 -19 20 41 21 | +| 167 | CatalanAer:Inv:Rev | RowLcm | A073618 | 1 1 1 2 3 12 30 60 210 840 1260 2520 13860 27720 180180 360360 180180 720720 6126120 12252240 | +| 168 | CatalanAer:Inv:Rev | RowGcd | missing | 1 1 1 2 3 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 | +| 169 | CatalanAer:Inv:Rev | RowMax | A073028 | 1 1 1 2 3 4 6 10 15 21 35 56 84 126 210 330 495 792 1287 2002 3003 5005 8008 12376 19448 31824 | +| 170 | CatalanAer:Inv:Rev | ColMiddle | missing | 1 1 0 0 -3 -4 0 0 15 21 0 0 -84 -120 0 0 495 715 0 0 -3003 -4368 0 0 18564 27132 0 0 -116280 | +| 171 | CatalanAer:Inv:Rev | CentralE | missing | 1 0 -3 0 15 0 -84 0 495 0 -3003 0 18564 0 -116280 0 | +| 172 | CatalanAer:Inv:Rev | CentralO | missing | 1 0 -4 0 21 0 -120 0 715 0 -4368 0 27132 0 -170544 0 | +| 173 | CatalanAer:Inv:Rev | ColRight | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | +| 174 | CatalanAer:Inv:Rev | BinConv | A278415 | 1 1 0 -5 -16 -24 15 197 576 724 -1200 -8832 -22801 -21293 76440 408795 922368 499104 -4446588 | +| 175 | CatalanAer:Inv:Rev | InvBinConv | A278415 | 1 -1 0 5 -16 24 15 -197 576 -724 -1200 8832 -22801 21293 76440 -408795 922368 -499104 -4446588 | +| 176 | CatalanAer:Inv:Rev | TransNat0 | missing | 0 0 -2 -4 -2 4 8 4 -6 -12 -6 8 16 8 -10 -20 -10 12 24 12 -14 -28 -14 16 32 16 -18 -36 -18 20 40 20 | +| 177 | CatalanAer:Inv:Rev | TransNat1 | missing | 1 1 -2 -5 -3 4 9 5 -6 -13 -7 8 17 9 -10 -21 -11 12 25 13 -14 -29 -15 16 33 17 -18 -37 -19 20 41 21 | +| 178 | CatalanAer:Inv:Rev | TransSqrs | missing | 0 0 -4 -8 4 32 40 -8 -84 -96 12 160 176 -16 -260 -280 20 384 408 -24 -532 -560 28 704 736 -32 -900 | +| 179 | CatalanAer:Inv:Rev | PosHalf | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 180 | CatalanAer:Inv:Rev | NegHalf | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 181 | CatalanAer:Inv:Rev | DiagRow1 | A027656 | 1 0 -2 0 3 0 -4 0 5 0 -6 0 7 0 -8 0 9 0 -10 0 11 0 -12 0 13 0 -14 0 15 0 -16 0 | +| 182 | CatalanAer:Inv:Rev | DiagRow2 | missing | 1 0 -3 0 6 0 -10 0 15 0 -21 0 28 0 -36 0 45 0 -55 0 66 0 -78 0 91 0 -105 0 120 0 -136 0 | +| 183 | CatalanAer:Inv:Rev | DiagRow3 | missing | 1 0 -4 0 10 0 -20 0 35 0 -56 0 84 0 -120 0 165 0 -220 0 286 0 -364 0 455 0 -560 0 680 0 -816 0 | +| 184 | CatalanAer:Inv:Rev | DiagCol2 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | +| 185 | CatalanAer:Inv:Rev | Poly | missing | 1 1 1 1 1 1 1 0 1 1 1 -1 -3 1 1 1 -1 -7 -8 1 1 1 0 5 -17 -15 1 1 1 1 33 55 -31 -24 1 1 1 1 13 208 | +| 186 | CatalanAer:Inv:Rev | PolyRow2 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | +| 187 | CatalanAer:Inv:Rev | PolyRow3 | A056220 | 1 -1 -7 -17 -31 -49 -71 -97 -127 -161 -199 -241 -287 -337 -391 -449 -511 -577 -647 -721 -799 -881 | +| 188 | CatalanAer:Inv:Rev | PolyCol2 | A106853 | 1 1 -3 -7 5 33 13 -119 -171 305 989 -231 -4187 -3263 13485 26537 -27403 -133551 -23939 510265 | +| 189 | CatalanAer:Inv:Rev | PolyCol3 | A146078 | 1 1 -8 -17 55 208 -287 -2159 424 19855 16039 -162656 -307007 1156897 3919960 -6492113 -41771753 | +| 190 | CatalanAer:Inv:Rev | PolyDiag | missing | 1 1 -3 -17 209 1776 -39059 -446879 14216769 204741919 -8534720899 -148220668320 7645684627153 | \ No newline at end of file diff --git a/data/md/CatalanSqr.md b/data/md/CatalanSqr.md index 37de227..0bffa84 100644 --- a/data/md/CatalanSqr.md +++ b/data/md/CatalanSqr.md @@ -40,122 +40,162 @@ | 37 | CatalanSqr:Std | PolyCol2 | A007854 | 1 3 12 51 222 978 4338 19323 86310 386250 1730832 7763550 34847796 156503064 703149438 3160160811 | | 38 | CatalanSqr:Std | PolyCol3 | A076035 | 1 4 20 104 548 2904 15432 82128 437444 2331128 12426200 66250672 353258536 1883768176 10045773072 | | 39 | CatalanSqr:Std | PolyDiag | missing | 1 2 12 104 1150 15492 247254 4577568 96642774 2294378300 60547501696 1759037883792 55805492089516 | -| 40 | CatalanSqr:Rev | Triangle | A050165 | 1 1 1 1 3 2 1 5 9 5 1 7 20 28 14 1 9 35 75 90 42 1 11 54 154 275 297 132 1 13 77 273 637 1001 1001 | -| 41 | CatalanSqr:Rev | InvRev | A085478 | 1 -1 1 1 -3 1 -1 6 -5 1 1 -10 15 -7 1 -1 15 -35 28 -9 1 1 -21 70 -84 45 -11 1 -1 28 -126 210 -165 | -| 42 | CatalanSqr:Rev | Acc | A062344 | 1 1 2 1 4 6 1 6 15 20 1 8 28 56 70 1 10 45 120 210 252 1 12 66 220 495 792 924 1 14 91 364 1001 | -| 43 | CatalanSqr:Rev | AccRev | A050157 | 1 1 2 2 5 6 5 14 19 20 14 42 62 69 70 42 132 207 242 251 252 132 429 704 858 912 923 924 429 1430 | -| 44 | CatalanSqr:Rev | AntiDiag | missing | 1 1 1 1 1 3 1 5 2 1 7 9 1 9 20 5 1 11 35 28 1 13 54 75 14 1 15 77 154 90 1 17 104 273 275 42 1 19 | -| 45 | CatalanSqr:Rev | Diffx1 | missing | 1 1 2 1 6 6 1 10 27 20 1 14 60 112 70 1 18 105 300 450 252 1 22 162 616 1375 1782 924 1 26 231 1092 | -| 46 | CatalanSqr:Rev | RowSum | A000984 | 1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 40116600 155117520 601080390 | -| 47 | CatalanSqr:Rev | EvenSum | A088218 | 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | -| 48 | CatalanSqr:Rev | OddSum | A001700 | 0 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | -| 49 | CatalanSqr:Rev | DiagSum | B274115 | 1 1 2 4 8 17 35 75 157 337 712 1529 3248 6976 14869 31937 68222 146536 313487 673351 1441999 | -| 50 | CatalanSqr:Rev | AccSum | A032443 | 1 3 11 42 163 638 2510 9908 39203 155382 616666 2449868 9740686 38754732 154276028 614429672 | -| 51 | CatalanSqr:Rev | AccRevSum | A296771 | 1 3 13 58 257 1126 4882 20980 89497 379438 1600406 6720748 28117498 117254268 487589572 2022568168 | -| 52 | CatalanSqr:Rev | RowLcm | missing | 1 1 6 45 140 3150 207900 21021 2522520 192972780 83140200 4801346550 53006865912 106340934700 | -| 53 | CatalanSqr:Rev | RowMax | missing | 1 1 3 9 28 90 297 1001 3640 13260 48450 177650 653752 2414425 8947575 33266625 124062000 463991880 | -| 54 | CatalanSqr:Rev | ColMiddle | missing | 1 1 3 5 20 35 154 273 1260 2244 10659 19019 92092 164450 807300 1442025 7152444 12776588 63882940 | -| 55 | CatalanSqr:Rev | CentralE | A126596 | 1 3 20 154 1260 10659 92092 807300 7152444 63882940 574221648 5188082354 47073334100 428634152730 | -| 56 | CatalanSqr:Rev | CentralO | missing | 1 5 35 273 2244 19019 164450 1442025 12776588 114108148 1025551163 9264432775 84045912300 | -| 57 | CatalanSqr:Rev | ColRight | A000108 | 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | -| 58 | CatalanSqr:Rev | BinConv | A174687 | 1 2 9 48 275 1638 9996 62016 389367 2466750 15737865 100975680 650872404 4211628008 27341497800 | -| 59 | CatalanSqr:Rev | InvBinConv | missing | 1 0 -3 -8 -5 36 140 176 -441 -2600 -4851 3840 47476 119952 23400 -821408 -2760545 -2524176 12872519 | -| 60 | CatalanSqr:Rev | TransNat0 | A000531 | 0 1 7 38 187 874 3958 17548 76627 330818 1415650 6015316 25413342 106853668 447472972 1867450648 | -| 61 | CatalanSqr:Rev | TransNat1 | A296771 | 1 3 13 58 257 1126 4882 20980 89497 379438 1600406 6720748 28117498 117254268 487589572 2022568168 | -| 62 | CatalanSqr:Rev | TransSqrs | missing | 0 1 11 86 563 3314 18190 95052 478979 2347322 11253050 52994996 245935086 1127347636 5113862588 | -| 63 | CatalanSqr:Rev | PosHalf | A007854 | 1 3 12 51 222 978 4338 19323 86310 386250 1730832 7763550 34847796 156503064 703149438 3160160811 | -| 64 | CatalanSqr:Rev | NegHalf | A064310 | 1 -1 0 -1 -2 -6 -18 -57 -186 -622 -2120 -7338 -25724 -91144 -325878 -1174281 -4260282 -15548694 | -| 65 | CatalanSqr:Rev | DiagRow1 | B000245 | 1 3 9 28 90 297 1001 3432 11934 41990 149226 534888 1931540 7020405 25662825 94287120 347993910 | -| 66 | CatalanSqr:Rev | DiagRow2 | A000344 | 1 5 20 75 275 1001 3640 13260 48450 177650 653752 2414425 8947575 33266625 124062000 463991880 | -| 67 | CatalanSqr:Rev | DiagRow3 | B000588 | 1 7 35 154 637 2548 9996 38760 149226 572033 2187185 8351070 31865925 121580760 463991880 | -| 68 | CatalanSqr:Rev | DiagCol1 | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | -| 69 | CatalanSqr:Rev | DiagCol2 | B014107 | 2 9 20 35 54 77 104 135 170 209 252 299 350 405 464 527 594 665 740 819 902 989 1080 1175 1274 1377 | -| 70 | CatalanSqr:Rev | DiagCol3 | missing | 5 28 75 154 273 440 663 950 1309 1748 2275 2898 3625 4464 5423 6510 7733 9100 10619 12298 14145 | -| 71 | CatalanSqr:Rev | Poly | A201198 | 1 1 1 1 2 1 1 6 3 1 1 20 15 4 1 1 70 87 28 5 1 1 252 543 232 45 6 1 1 924 3543 2092 485 66 7 1 1 | -| 72 | CatalanSqr:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 73 | CatalanSqr:Rev | PolyRow2 | B000384 | 1 6 15 28 45 66 91 120 153 190 231 276 325 378 435 496 561 630 703 780 861 946 1035 1128 1225 1326 | -| 74 | CatalanSqr:Rev | PolyRow3 | A027849 | 1 20 87 232 485 876 1435 2192 3177 4420 5951 7800 9997 12572 15555 18976 22865 27252 32167 37640 | -| 75 | CatalanSqr:Rev | PolyCol2 | A089022 | 1 3 15 87 543 3543 23823 163719 1143999 8099511 57959535 418441191 3043608351 22280372247 | -| 76 | CatalanSqr:Rev | PolyCol3 | A035610 | 1 4 28 232 2092 19864 195352 1970896 20275660 211823800 2240795848 23951289520 258255469816 | -| 77 | CatalanSqr:Rev | PolyDiag | missing | 1 2 15 232 5725 197796 8859739 489517344 32231934585 2466432898300 215206959917191 | -| 78 | CatalanSqr:Inv | Triangle | A085478 | 1 -1 1 1 -3 1 -1 6 -5 1 1 -10 15 -7 1 -1 15 -35 28 -9 1 1 -21 70 -84 45 -11 1 -1 28 -126 210 -165 | -| 79 | CatalanSqr:Inv | Rev | A054142 | 1 1 -1 1 -3 1 1 -5 6 -1 1 -7 15 -10 1 1 -9 28 -35 15 -1 1 -11 45 -84 70 -21 1 1 -13 66 -165 210 | -| 80 | CatalanSqr:Inv | RevInv | A050165 | 1 1 1 1 3 2 1 5 9 5 1 7 20 28 14 1 9 35 75 90 42 1 11 54 154 275 297 132 1 13 77 273 637 1001 1001 | -| 81 | CatalanSqr:Inv | InvRev | missing | 1 -1 1 -4 3 1 18 -13 -6 1 232 -168 -75 10 1 -2748 1990 887 -115 -15 1 -72268 52334 23328 -3031 -385 | -| 82 | CatalanSqr:Inv | Acc | missing | 1 -1 0 1 -2 -1 -1 5 0 1 1 -9 6 -1 0 -1 14 -21 7 -2 -1 1 -20 50 -34 11 0 1 -1 27 -99 111 -54 12 -1 0 | -| 83 | CatalanSqr:Inv | AccRev | missing | 1 1 0 1 -2 -1 1 -4 2 1 1 -6 9 -1 0 1 -8 20 -15 0 -1 1 -10 35 -49 21 0 1 1 -12 54 -111 99 -27 1 0 1 | -| 84 | CatalanSqr:Inv | AntiDiag | A034839 | 1 -1 1 1 -1 -3 1 6 1 -1 -10 -5 1 15 15 1 -1 -21 -35 -7 1 28 70 28 1 -1 -36 -126 -84 -9 1 45 210 210 | -| 85 | CatalanSqr:Inv | Diffx1 | missing | 1 -1 2 1 -6 3 -1 12 -15 4 1 -20 45 -28 5 -1 30 -105 112 -45 6 1 -42 210 -336 225 -66 7 -1 56 -378 | -| 86 | CatalanSqr:Inv | RowSum | A057078 | 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 | -| 87 | CatalanSqr:Inv | EvenSum | A109961 | 1 -1 2 -6 17 -45 117 -305 798 -2090 5473 -14329 37513 -98209 257114 -673134 1762289 -4613733 | -| 88 | CatalanSqr:Inv | OddSum | missing | 0 1 -3 7 -17 44 -116 305 -799 2091 -5473 14328 -37512 98209 -257115 673135 -1762289 4613732 | -| 89 | CatalanSqr:Inv | AltSum | A099496 | 1 -2 5 -13 34 -89 233 -610 1597 -4181 10946 -28657 75025 -196418 514229 -1346269 3524578 -9227465 | -| 90 | CatalanSqr:Inv | DiagSum | A011782 | 1 -1 2 -4 8 -16 32 -64 128 -256 512 -1024 2048 -4096 8192 -16384 32768 -65536 131072 -262144 524288 | -| 91 | CatalanSqr:Inv | AccSum | missing | 1 -1 -2 5 -3 -4 9 -5 -6 13 -7 -8 17 -9 -10 21 -11 -12 25 -13 -14 29 -15 -16 33 -17 -18 37 -19 -20 | -| 92 | CatalanSqr:Inv | AccRevSum | missing | 1 1 -2 0 3 -3 -1 5 -4 -2 7 -5 -3 9 -6 -4 11 -7 -5 13 -8 -6 15 -9 -7 17 -10 -8 19 -11 -9 21 | -| 93 | CatalanSqr:Inv | RowLcm | missing | 1 1 3 30 210 1260 13860 180180 180180 6126120 116396280 116396280 2677114440 13385572200 | -| 94 | CatalanSqr:Inv | RowGcd | A103755 | 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 95 | CatalanSqr:Inv | RowMax | missing | 1 1 3 6 15 35 84 210 495 1287 3003 8008 19448 50388 125970 319770 817190 2042975 5311735 13123110 | -| 96 | CatalanSqr:Inv | ColMiddle | missing | 1 -1 -3 6 15 -35 -84 210 495 -1287 -3003 8008 18564 -50388 -116280 319770 735471 -2042975 -4686825 | -| 97 | CatalanSqr:Inv | CentralE | A005809 | 1 -3 15 -84 495 -3003 18564 -116280 735471 -4686825 30045015 -193536720 1251677700 -8122425444 | -| 98 | CatalanSqr:Inv | CentralO | A117671 | -1 6 -35 210 -1287 8008 -50388 319770 -2042975 13123110 -84672315 548354040 -3562467300 23206929840 | -| 99 | CatalanSqr:Inv | BinConv | missing | 1 0 -4 3 24 -40 -145 420 784 -3948 -3024 34320 -3729 -277992 261404 2085083 -3912480 -14151072 | -| 100 | CatalanSqr:Inv | InvBinConv | A082759 | 1 2 8 35 160 752 3599 17446 85376 420884 2087008 10398016 52010479 261021854 1313707256 6628095035 | -| 101 | CatalanSqr:Inv | TransNat0 | A076118 | 0 1 -1 -1 3 -2 -2 5 -3 -3 7 -4 -4 9 -5 -5 11 -6 -6 13 -7 -7 15 -8 -8 17 -9 -9 19 -10 -10 21 | -| 102 | CatalanSqr:Inv | TransNat1 | missing | 1 1 -2 0 3 -3 -1 5 -4 -2 7 -5 -3 9 -6 -4 11 -7 -5 13 -8 -6 15 -9 -7 17 -10 -8 19 -11 -9 21 | -| 103 | CatalanSqr:Inv | TransSqrs | missing | 0 1 1 -5 3 8 -16 5 21 -33 7 40 -56 9 65 -85 11 96 -120 13 133 -161 15 176 -208 17 225 -261 19 280 | -| 104 | CatalanSqr:Inv | PosHalf | A087168 | 1 -1 -1 7 -17 23 -1 -89 271 -457 287 967 -4049 8279 -8641 -7193 56143 -139657 194399 -24569 -703889 | -| 105 | CatalanSqr:Inv | NegHalf | A007583 | 1 3 11 43 171 683 2731 10923 43691 174763 699051 2796203 11184811 44739243 178956971 715827883 | -| 106 | CatalanSqr:Inv | DiagRow1 | A005408 | -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 -51 | -| 107 | CatalanSqr:Inv | DiagRow2 | B000384 | 1 6 15 28 45 66 91 120 153 190 231 276 325 378 435 496 561 630 703 780 861 946 1035 1128 1225 1326 | -| 108 | CatalanSqr:Inv | DiagRow3 | B000447 | -1 -10 -35 -84 -165 -286 -455 -680 -969 -1330 -1771 -2300 -2925 -3654 -4495 -5456 -6545 -7770 -9139 | -| 109 | CatalanSqr:Inv | DiagCol1 | A025731 | 1 -3 6 -10 15 -21 28 -36 45 -55 66 -78 91 -105 120 -136 153 -171 190 -210 231 -253 276 -300 325 | -| 110 | CatalanSqr:Inv | DiagCol2 | B000332 | 1 -5 15 -35 70 -126 210 -330 495 -715 1001 -1365 1820 -2380 3060 -3876 4845 -5985 7315 -8855 10626 | -| 111 | CatalanSqr:Inv | DiagCol3 | B000579 | 1 -7 28 -84 210 -462 924 -1716 3003 -5005 8008 -12376 18564 -27132 38760 -54264 74613 -100947 | -| 112 | CatalanSqr:Inv | Poly | A213953 | 1 -1 1 1 0 1 -1 -1 1 1 1 1 -1 2 1 -1 0 -1 1 3 1 1 -1 1 -1 5 4 1 -1 1 1 -2 7 11 5 1 1 0 -1 -1 9 29 | -| 113 | CatalanSqr:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | -| 114 | CatalanSqr:Inv | PolyRow2 | A165900 | 1 -1 -1 1 5 11 19 29 41 55 71 89 109 131 155 181 209 239 271 305 341 379 419 461 505 551 599 649 | -| 115 | CatalanSqr:Inv | PolyRow3 | missing | -1 1 -1 -1 7 29 71 139 239 377 559 791 1079 1429 1847 2339 2911 3569 4319 5167 6119 7181 8359 9659 | -| 116 | CatalanSqr:Inv | PolyCol3 | A057079 | 1 2 1 -1 -2 -1 1 2 1 -1 -2 -1 1 2 1 -1 -2 -1 1 2 1 -1 -2 -1 1 2 1 -1 -2 -1 1 2 | -| 117 | CatalanSqr:Inv | PolyDiag | missing | 1 0 -1 -1 9 199 3691 73254 1607521 39088169 1048062951 30789776159 984771132841 34088956044012 | -| 118 | CatalanSqr:Inv:Rev | Triangle | A054142 | 1 1 -1 1 -3 1 1 -5 6 -1 1 -7 15 -10 1 1 -9 28 -35 15 -1 1 -11 45 -84 70 -21 1 1 -13 66 -165 210 | -| 119 | CatalanSqr:Inv:Rev | Rev | A085478 | 1 -1 1 1 -3 1 -1 6 -5 1 1 -10 15 -7 1 -1 15 -35 28 -9 1 1 -21 70 -84 45 -11 1 -1 28 -126 210 -165 | -| 120 | CatalanSqr:Inv:Rev | Inv | missing | 1 -1 1 -4 3 1 18 -13 -6 1 232 -168 -75 10 1 -2748 1990 887 -115 -15 1 -72268 52334 23328 -3031 -385 | -| 121 | CatalanSqr:Inv:Rev | RevInv | missing | 1 1 -1 1 3 -4 1 -6 -13 18 1 10 -75 -168 232 1 -15 -115 887 1990 -2748 1 21 -385 -3031 23328 52334 | -| 122 | CatalanSqr:Inv:Rev | InvRev | A039599 | 1 1 1 2 3 1 5 9 5 1 14 28 20 7 1 42 90 75 35 9 1 132 297 275 154 54 11 1 429 1001 1001 637 273 77 | -| 123 | CatalanSqr:Inv:Rev | Acc | missing | 1 1 0 1 -2 -1 1 -4 2 1 1 -6 9 -1 0 1 -8 20 -15 0 -1 1 -10 35 -49 21 0 1 1 -12 54 -111 99 -27 1 0 1 | -| 124 | CatalanSqr:Inv:Rev | AccRev | missing | 1 -1 0 1 -2 -1 -1 5 0 1 1 -9 6 -1 0 -1 14 -21 7 -2 -1 1 -20 50 -34 11 0 1 -1 27 -99 111 -54 12 -1 0 | -| 125 | CatalanSqr:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -3 1 -5 1 1 -7 6 1 -9 15 -1 1 -11 28 -10 1 -13 45 -35 1 1 -15 66 -84 15 1 -17 91 -165 70 | -| 126 | CatalanSqr:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -6 3 1 -10 18 -4 1 -14 45 -40 5 1 -18 84 -140 75 -6 1 -22 135 -336 350 -126 7 1 -26 198 | -| 127 | CatalanSqr:Inv:Rev | RowSum | A057078 | 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 | -| 128 | CatalanSqr:Inv:Rev | EvenSum | A108479 | 1 1 2 7 17 44 117 305 798 2091 5473 14328 37513 98209 257114 673135 1762289 4613732 12078909 | -| 129 | CatalanSqr:Inv:Rev | OddSum | A099511 | 0 -1 -3 -6 -17 -45 -116 -305 -799 -2090 -5473 -14329 -37512 -98209 -257115 -673134 -1762289 | -| 130 | CatalanSqr:Inv:Rev | AltSum | A099496 | 1 2 5 13 34 89 233 610 1597 4181 10946 28657 75025 196418 514229 1346269 3524578 9227465 24157817 | -| 131 | CatalanSqr:Inv:Rev | DiagSum | missing | 1 1 0 -2 -3 0 6 8 -1 -17 -21 5 48 55 -20 -135 -143 72 378 369 -244 -1054 -944 795 2927 2391 -2519 | -| 132 | CatalanSqr:Inv:Rev | AccSum | missing | 1 1 -2 0 3 -3 -1 5 -4 -2 7 -5 -3 9 -6 -4 11 -7 -5 13 -8 -6 15 -9 -7 17 -10 -8 19 -11 -9 21 | -| 133 | CatalanSqr:Inv:Rev | AccRevSum | missing | 1 -1 -2 5 -3 -4 9 -5 -6 13 -7 -8 17 -9 -10 21 -11 -12 25 -13 -14 29 -15 -16 33 -17 -18 37 -19 -20 | -| 134 | CatalanSqr:Inv:Rev | RowLcm | missing | 1 1 3 30 210 1260 13860 180180 180180 6126120 116396280 116396280 2677114440 13385572200 | -| 135 | CatalanSqr:Inv:Rev | RowGcd | A103755 | 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 136 | CatalanSqr:Inv:Rev | RowMax | missing | 1 1 3 6 15 35 84 210 495 1287 3003 8008 19448 50388 125970 319770 817190 2042975 5311735 13123110 | -| 137 | CatalanSqr:Inv:Rev | ColMiddle | missing | 1 1 -3 -5 15 28 -84 -165 495 1001 -3003 -6188 18564 38760 -116280 -245157 735471 1562275 -4686825 | -| 138 | CatalanSqr:Inv:Rev | CentralE | A005809 | 1 -3 15 -84 495 -3003 18564 -116280 735471 -4686825 30045015 -193536720 1251677700 -8122425444 | -| 139 | CatalanSqr:Inv:Rev | CentralO | B025174 | 1 -5 28 -165 1001 -6188 38760 -245157 1562275 -10015005 64512240 -417225900 2707475148 -17620076360 | -| 140 | CatalanSqr:Inv:Rev | BinConv | missing | 1 0 -4 3 24 -40 -145 420 784 -3948 -3024 34320 -3729 -277992 261404 2085083 -3912480 -14151072 | -| 141 | CatalanSqr:Inv:Rev | InvBinConv | A082759 | 1 -2 8 -35 160 -752 3599 -17446 85376 -420884 2087008 -10398016 52010479 -261021854 1313707256 | -| 142 | CatalanSqr:Inv:Rev | TransNat0 | B138187 | 0 -1 -1 4 -3 -3 8 -5 -5 12 -7 -7 16 -9 -9 20 -11 -11 24 -13 -13 28 -15 -15 32 -17 -17 36 -19 -19 40 | -| 143 | CatalanSqr:Inv:Rev | TransNat1 | missing | 1 -1 -2 5 -3 -4 9 -5 -6 13 -7 -8 17 -9 -10 21 -11 -12 25 -13 -14 29 -15 -16 33 -17 -18 37 -19 -20 | -| 144 | CatalanSqr:Inv:Rev | TransSqrs | missing | 0 -1 1 10 -21 3 44 -65 5 102 -133 7 184 -225 9 290 -341 11 420 -481 13 574 -645 15 752 -833 17 954 | -| 145 | CatalanSqr:Inv:Rev | NegHalf | A079935 | 1 -3 11 -41 153 -571 2131 -7953 29681 -110771 413403 -1542841 5757961 -21489003 80198051 -299303201 | -| 146 | CatalanSqr:Inv:Rev | DiagRow1 | A025731 | 1 -3 6 -10 15 -21 28 -36 45 -55 66 -78 91 -105 120 -136 153 -171 190 -210 231 -253 276 -300 325 | -| 147 | CatalanSqr:Inv:Rev | DiagRow2 | B000332 | 1 -5 15 -35 70 -126 210 -330 495 -715 1001 -1365 1820 -2380 3060 -3876 4845 -5985 7315 -8855 10626 | -| 148 | CatalanSqr:Inv:Rev | DiagRow3 | B000579 | 1 -7 28 -84 210 -462 924 -1716 3003 -5005 8008 -12376 18564 -27132 38760 -54264 74613 -100947 | -| 149 | CatalanSqr:Inv:Rev | DiagCol1 | A005408 | -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 -51 | -| 150 | CatalanSqr:Inv:Rev | DiagCol2 | B000384 | 1 6 15 28 45 66 91 120 153 190 231 276 325 378 435 496 561 630 703 780 861 946 1035 1128 1225 1326 | -| 151 | CatalanSqr:Inv:Rev | DiagCol3 | B000447 | -1 -10 -35 -84 -165 -286 -455 -680 -969 -1330 -1771 -2300 -2925 -3654 -4495 -5456 -6545 -7770 -9139 | -| 152 | CatalanSqr:Inv:Rev | Poly | A213953 | 1 1 1 1 0 1 1 -1 -1 1 1 1 -1 -2 1 1 0 7 1 -3 1 1 -1 -17 13 5 -4 1 1 1 23 -74 13 11 -5 1 1 0 -1 253 | -| 153 | CatalanSqr:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 154 | CatalanSqr:Inv:Rev | PolyRow2 | A165900 | 1 -1 -1 1 5 11 19 29 41 55 71 89 109 131 155 181 209 239 271 305 341 379 419 461 505 551 599 649 | -| 155 | CatalanSqr:Inv:Rev | PolyRow3 | missing | 1 1 7 13 13 1 -29 -83 -167 -287 -449 -659 -923 -1247 -1637 -2099 -2639 -3263 -3977 -4787 -5699 | -| 156 | CatalanSqr:Inv:Rev | PolyCol2 | A087168 | 1 -1 -1 7 -17 23 -1 -89 271 -457 287 967 -4049 8279 -8641 -7193 56143 -139657 194399 -24569 -703889 | -| 157 | CatalanSqr:Inv:Rev | PolyCol3 | A087169 | 1 -2 1 13 -74 253 -599 718 1801 -15467 61126 -166427 282001 87838 -2977199 14095453 -43682474 | -| 158 | CatalanSqr:Inv:Rev | PolyDiag | missing | 1 0 -1 13 -171 2531 -42509 803706 -16922039 392603041 -9939764889 272179139629 -7994327524259 | \ No newline at end of file +| 40 | CatalanSqr:Alt | Triangle | A039599 | 1 1 -1 2 -3 1 5 -9 5 -1 14 -28 20 -7 1 42 -90 75 -35 9 -1 132 -297 275 -154 54 -11 1 429 -1001 1001 | +| 41 | CatalanSqr:Alt | Rev | A050165 | 1 -1 1 1 -3 2 -1 5 -9 5 1 -7 20 -28 14 -1 9 -35 75 -90 42 1 -11 54 -154 275 -297 132 -1 13 -77 273 | +| 42 | CatalanSqr:Alt | Inv | missing | 1 -1 1 -5 3 1 11 -6 -5 1 135 -74 -55 7 1 -587 321 245 -28 -9 1 -11107 6075 4620 -532 -153 11 1 | +| 43 | CatalanSqr:Alt | RevInv | missing | 1 1 -1 1 3 -5 1 -5 -6 11 1 7 -55 -74 135 1 -9 -28 245 321 -587 1 11 -153 -532 4620 6075 -11107 1 | +| 44 | CatalanSqr:Alt | Acc | B128899 | 1 1 0 2 -1 0 5 -4 1 0 14 -14 6 -1 0 42 -48 27 -8 1 0 132 -165 110 -44 10 -1 0 429 -572 429 -208 65 | +| 45 | CatalanSqr:Alt | AccRev | missing | 1 -1 0 1 -2 0 -1 4 -5 0 1 -6 14 -14 0 -1 8 -27 48 -42 0 1 -10 44 -110 165 -132 0 -1 12 -65 208 -429 | +| 46 | CatalanSqr:Alt | AntiDiag | missing | 1 1 2 -1 5 -3 14 -9 1 42 -28 5 132 -90 20 -1 429 -297 75 -7 1430 -1001 275 -35 1 4862 -3432 1001 | +| 47 | CatalanSqr:Alt | Diffx1 | missing | 1 1 -2 2 -6 3 5 -18 15 -4 14 -56 60 -28 5 42 -180 225 -140 45 -6 132 -594 825 -616 270 -66 7 429 | +| 48 | CatalanSqr:Alt | EvenSum | A088218 | 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | +| 49 | CatalanSqr:Alt | OddSum | A001700 | 0 -1 -3 -10 -35 -126 -462 -1716 -6435 -24310 -92378 -352716 -1352078 -5200300 -20058300 -77558760 | +| 50 | CatalanSqr:Alt | AltSum | A000984 | 1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 40116600 155117520 601080390 | +| 51 | CatalanSqr:Alt | DiagSum | B035929 | 1 1 1 2 6 19 61 200 670 2286 7918 27770 98424 351983 1268541 4602752 16799894 61642078 227239086 | +| 52 | CatalanSqr:Alt | AccSum | A115140 | 1 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | +| 53 | CatalanSqr:Alt | AccRevSum | A115140 | 1 -1 -1 -2 -5 -14 -42 -132 -429 -1430 -4862 -16796 -58786 -208012 -742900 -2674440 -9694845 | +| 54 | CatalanSqr:Alt | RowLcm | missing | 1 1 6 45 140 3150 207900 21021 2522520 192972780 83140200 4801346550 53006865912 106340934700 | +| 55 | CatalanSqr:Alt | RowMax | missing | 1 1 3 9 28 90 297 1001 3640 13260 48450 177650 653752 2414425 8947575 33266625 124062000 463991880 | +| 56 | CatalanSqr:Alt | ColMiddle | missing | 1 1 -3 -9 20 75 -154 -637 1260 5508 -10659 -48279 92092 427570 -807300 -3817125 7152444 34295052 | +| 57 | CatalanSqr:Alt | CentralE | A126596 | 1 -3 20 -154 1260 -10659 92092 -807300 7152444 -63882940 574221648 -5188082354 47073334100 | +| 58 | CatalanSqr:Alt | CentralO | missing | 1 -9 75 -637 5508 -48279 427570 -3817125 34295052 -309722116 2809118403 -25569834459 233460867500 | +| 59 | CatalanSqr:Alt | ColLeft | A000108 | 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | +| 60 | CatalanSqr:Alt | BinConv | missing | 1 0 -3 -8 -5 36 140 176 -441 -2600 -4851 3840 47476 119952 23400 -821408 -2760545 -2524176 12872519 | +| 61 | CatalanSqr:Alt | InvBinConv | A174687 | 1 -2 9 -48 275 -1638 9996 -62016 389367 -2466750 15737865 -100975680 650872404 -4211628008 | +| 62 | CatalanSqr:Alt | TransNat0 | A000108 | 0 -1 -1 -2 -5 -14 -42 -132 -429 -1430 -4862 -16796 -58786 -208012 -742900 -2674440 -9694845 | +| 63 | CatalanSqr:Alt | TransNat1 | A115140 | 1 -1 -1 -2 -5 -14 -42 -132 -429 -1430 -4862 -16796 -58786 -208012 -742900 -2674440 -9694845 | +| 64 | CatalanSqr:Alt | TransSqrs | A000108 | 0 -1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | +| 65 | CatalanSqr:Alt | PosHalf | A064062 | 1 1 3 13 67 381 2307 14589 95235 636925 4341763 30056445 210731011 1493303293 10678370307 | +| 66 | CatalanSqr:Alt | NegHalf | A089022 | 1 -3 15 -87 543 -3543 23823 -163719 1143999 -8099511 57959535 -418441191 3043608351 -22280372247 | +| 67 | CatalanSqr:Alt | DiagRow1 | A005408 | 1 -3 5 -7 9 -11 13 -15 17 -19 21 -23 25 -27 29 -31 33 -35 37 -39 41 -43 45 -47 49 -51 53 -55 57 -59 | +| 68 | CatalanSqr:Alt | DiagRow2 | B014107 | 2 -9 20 -35 54 -77 104 -135 170 -209 252 -299 350 -405 464 -527 594 -665 740 -819 902 -989 1080 | +| 69 | CatalanSqr:Alt | DiagRow3 | missing | 5 -28 75 -154 273 -440 663 -950 1309 -1748 2275 -2898 3625 -4464 5423 -6510 7733 -9100 10619 -12298 | +| 70 | CatalanSqr:Alt | DiagCol1 | B115142 | -1 -3 -9 -28 -90 -297 -1001 -3432 -11934 -41990 -149226 -534888 -1931540 -7020405 -25662825 | +| 71 | CatalanSqr:Alt | DiagCol2 | A000344 | 1 5 20 75 275 1001 3640 13260 48450 177650 653752 2414425 8947575 33266625 124062000 463991880 | +| 72 | CatalanSqr:Alt | DiagCol3 | B115146 | -1 -7 -35 -154 -637 -2548 -9996 -38760 -149226 -572033 -2187185 -8351070 -31865925 -121580760 | +| 73 | CatalanSqr:Alt | Poly | missing | 1 1 1 2 0 1 5 0 -1 1 14 0 0 -2 1 42 0 -1 2 -3 1 132 0 -2 -4 6 -4 1 429 0 -6 2 -15 12 -5 1 1430 0 | +| 74 | CatalanSqr:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | CatalanSqr:Alt | PolyRow2 | A279019 | 2 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 76 | CatalanSqr:Alt | PolyRow3 | B053698 | 5 0 -1 -4 -15 -40 -85 -156 -259 -400 -585 -820 -1111 -1464 -1885 -2380 -2955 -3616 -4369 -5220 | +| 77 | CatalanSqr:Alt | PolyCol2 | A064310 | 1 -1 0 -1 -2 -6 -18 -57 -186 -622 -2120 -7338 -25724 -91144 -325878 -1174281 -4260282 -15548694 | +| 78 | CatalanSqr:Alt | PolyCol3 | A126984 | 1 -2 2 -4 2 -12 -12 -72 -190 -700 -2308 -8120 -28364 -100856 -360792 -1301904 -4727358 -17268636 | +| 79 | CatalanSqr:Alt | PolyDiag | missing | 1 0 0 -4 30 -408 6090 -108792 2228310 -51665200 1337341896 -38235702360 1196772475756 | +| 80 | CatalanSqr:Rev | Triangle | A050165 | 1 1 1 1 3 2 1 5 9 5 1 7 20 28 14 1 9 35 75 90 42 1 11 54 154 275 297 132 1 13 77 273 637 1001 1001 | +| 81 | CatalanSqr:Rev | InvRev | A085478 | 1 -1 1 1 -3 1 -1 6 -5 1 1 -10 15 -7 1 -1 15 -35 28 -9 1 1 -21 70 -84 45 -11 1 -1 28 -126 210 -165 | +| 82 | CatalanSqr:Rev | Acc | A062344 | 1 1 2 1 4 6 1 6 15 20 1 8 28 56 70 1 10 45 120 210 252 1 12 66 220 495 792 924 1 14 91 364 1001 | +| 83 | CatalanSqr:Rev | AccRev | A050157 | 1 1 2 2 5 6 5 14 19 20 14 42 62 69 70 42 132 207 242 251 252 132 429 704 858 912 923 924 429 1430 | +| 84 | CatalanSqr:Rev | AntiDiag | missing | 1 1 1 1 1 3 1 5 2 1 7 9 1 9 20 5 1 11 35 28 1 13 54 75 14 1 15 77 154 90 1 17 104 273 275 42 1 19 | +| 85 | CatalanSqr:Rev | Diffx1 | missing | 1 1 2 1 6 6 1 10 27 20 1 14 60 112 70 1 18 105 300 450 252 1 22 162 616 1375 1782 924 1 26 231 1092 | +| 86 | CatalanSqr:Rev | RowSum | A000984 | 1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 40116600 155117520 601080390 | +| 87 | CatalanSqr:Rev | EvenSum | A088218 | 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | +| 88 | CatalanSqr:Rev | OddSum | A001700 | 0 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | +| 89 | CatalanSqr:Rev | DiagSum | B274115 | 1 1 2 4 8 17 35 75 157 337 712 1529 3248 6976 14869 31937 68222 146536 313487 673351 1441999 | +| 90 | CatalanSqr:Rev | AccSum | A032443 | 1 3 11 42 163 638 2510 9908 39203 155382 616666 2449868 9740686 38754732 154276028 614429672 | +| 91 | CatalanSqr:Rev | AccRevSum | A296771 | 1 3 13 58 257 1126 4882 20980 89497 379438 1600406 6720748 28117498 117254268 487589572 2022568168 | +| 92 | CatalanSqr:Rev | RowLcm | missing | 1 1 6 45 140 3150 207900 21021 2522520 192972780 83140200 4801346550 53006865912 106340934700 | +| 93 | CatalanSqr:Rev | RowMax | missing | 1 1 3 9 28 90 297 1001 3640 13260 48450 177650 653752 2414425 8947575 33266625 124062000 463991880 | +| 94 | CatalanSqr:Rev | ColMiddle | missing | 1 1 3 5 20 35 154 273 1260 2244 10659 19019 92092 164450 807300 1442025 7152444 12776588 63882940 | +| 95 | CatalanSqr:Rev | CentralE | A126596 | 1 3 20 154 1260 10659 92092 807300 7152444 63882940 574221648 5188082354 47073334100 428634152730 | +| 96 | CatalanSqr:Rev | CentralO | missing | 1 5 35 273 2244 19019 164450 1442025 12776588 114108148 1025551163 9264432775 84045912300 | +| 97 | CatalanSqr:Rev | ColRight | A000108 | 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | +| 98 | CatalanSqr:Rev | BinConv | A174687 | 1 2 9 48 275 1638 9996 62016 389367 2466750 15737865 100975680 650872404 4211628008 27341497800 | +| 99 | CatalanSqr:Rev | InvBinConv | missing | 1 0 -3 -8 -5 36 140 176 -441 -2600 -4851 3840 47476 119952 23400 -821408 -2760545 -2524176 12872519 | +| 100 | CatalanSqr:Rev | TransNat0 | A000531 | 0 1 7 38 187 874 3958 17548 76627 330818 1415650 6015316 25413342 106853668 447472972 1867450648 | +| 101 | CatalanSqr:Rev | TransNat1 | A296771 | 1 3 13 58 257 1126 4882 20980 89497 379438 1600406 6720748 28117498 117254268 487589572 2022568168 | +| 102 | CatalanSqr:Rev | TransSqrs | missing | 0 1 11 86 563 3314 18190 95052 478979 2347322 11253050 52994996 245935086 1127347636 5113862588 | +| 103 | CatalanSqr:Rev | PosHalf | A007854 | 1 3 12 51 222 978 4338 19323 86310 386250 1730832 7763550 34847796 156503064 703149438 3160160811 | +| 104 | CatalanSqr:Rev | NegHalf | A064310 | 1 -1 0 -1 -2 -6 -18 -57 -186 -622 -2120 -7338 -25724 -91144 -325878 -1174281 -4260282 -15548694 | +| 105 | CatalanSqr:Rev | DiagRow1 | B000245 | 1 3 9 28 90 297 1001 3432 11934 41990 149226 534888 1931540 7020405 25662825 94287120 347993910 | +| 106 | CatalanSqr:Rev | DiagRow2 | A000344 | 1 5 20 75 275 1001 3640 13260 48450 177650 653752 2414425 8947575 33266625 124062000 463991880 | +| 107 | CatalanSqr:Rev | DiagRow3 | B000588 | 1 7 35 154 637 2548 9996 38760 149226 572033 2187185 8351070 31865925 121580760 463991880 | +| 108 | CatalanSqr:Rev | DiagCol1 | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | +| 109 | CatalanSqr:Rev | DiagCol2 | B014107 | 2 9 20 35 54 77 104 135 170 209 252 299 350 405 464 527 594 665 740 819 902 989 1080 1175 1274 1377 | +| 110 | CatalanSqr:Rev | DiagCol3 | missing | 5 28 75 154 273 440 663 950 1309 1748 2275 2898 3625 4464 5423 6510 7733 9100 10619 12298 14145 | +| 111 | CatalanSqr:Rev | Poly | A201198 | 1 1 1 1 2 1 1 6 3 1 1 20 15 4 1 1 70 87 28 5 1 1 252 543 232 45 6 1 1 924 3543 2092 485 66 7 1 1 | +| 112 | CatalanSqr:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 113 | CatalanSqr:Rev | PolyRow2 | B000384 | 1 6 15 28 45 66 91 120 153 190 231 276 325 378 435 496 561 630 703 780 861 946 1035 1128 1225 1326 | +| 114 | CatalanSqr:Rev | PolyRow3 | A027849 | 1 20 87 232 485 876 1435 2192 3177 4420 5951 7800 9997 12572 15555 18976 22865 27252 32167 37640 | +| 115 | CatalanSqr:Rev | PolyCol2 | A089022 | 1 3 15 87 543 3543 23823 163719 1143999 8099511 57959535 418441191 3043608351 22280372247 | +| 116 | CatalanSqr:Rev | PolyCol3 | A035610 | 1 4 28 232 2092 19864 195352 1970896 20275660 211823800 2240795848 23951289520 258255469816 | +| 117 | CatalanSqr:Rev | PolyDiag | missing | 1 2 15 232 5725 197796 8859739 489517344 32231934585 2466432898300 215206959917191 | +| 118 | CatalanSqr:Inv | Triangle | A085478 | 1 -1 1 1 -3 1 -1 6 -5 1 1 -10 15 -7 1 -1 15 -35 28 -9 1 1 -21 70 -84 45 -11 1 -1 28 -126 210 -165 | +| 119 | CatalanSqr:Inv | Rev | A054142 | 1 1 -1 1 -3 1 1 -5 6 -1 1 -7 15 -10 1 1 -9 28 -35 15 -1 1 -11 45 -84 70 -21 1 1 -13 66 -165 210 | +| 120 | CatalanSqr:Inv | RevInv | A050165 | 1 1 1 1 3 2 1 5 9 5 1 7 20 28 14 1 9 35 75 90 42 1 11 54 154 275 297 132 1 13 77 273 637 1001 1001 | +| 121 | CatalanSqr:Inv | InvRev | missing | 1 -1 1 -4 3 1 18 -13 -6 1 232 -168 -75 10 1 -2748 1990 887 -115 -15 1 -72268 52334 23328 -3031 -385 | +| 122 | CatalanSqr:Inv | Acc | missing | 1 -1 0 1 -2 -1 -1 5 0 1 1 -9 6 -1 0 -1 14 -21 7 -2 -1 1 -20 50 -34 11 0 1 -1 27 -99 111 -54 12 -1 0 | +| 123 | CatalanSqr:Inv | AccRev | missing | 1 1 0 1 -2 -1 1 -4 2 1 1 -6 9 -1 0 1 -8 20 -15 0 -1 1 -10 35 -49 21 0 1 1 -12 54 -111 99 -27 1 0 1 | +| 124 | CatalanSqr:Inv | AntiDiag | A034839 | 1 -1 1 1 -1 -3 1 6 1 -1 -10 -5 1 15 15 1 -1 -21 -35 -7 1 28 70 28 1 -1 -36 -126 -84 -9 1 45 210 210 | +| 125 | CatalanSqr:Inv | Diffx1 | missing | 1 -1 2 1 -6 3 -1 12 -15 4 1 -20 45 -28 5 -1 30 -105 112 -45 6 1 -42 210 -336 225 -66 7 -1 56 -378 | +| 126 | CatalanSqr:Inv | RowSum | A057078 | 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 | +| 127 | CatalanSqr:Inv | EvenSum | A109961 | 1 -1 2 -6 17 -45 117 -305 798 -2090 5473 -14329 37513 -98209 257114 -673134 1762289 -4613733 | +| 128 | CatalanSqr:Inv | OddSum | missing | 0 1 -3 7 -17 44 -116 305 -799 2091 -5473 14328 -37512 98209 -257115 673135 -1762289 4613732 | +| 129 | CatalanSqr:Inv | AltSum | A099496 | 1 -2 5 -13 34 -89 233 -610 1597 -4181 10946 -28657 75025 -196418 514229 -1346269 3524578 -9227465 | +| 130 | CatalanSqr:Inv | DiagSum | A011782 | 1 -1 2 -4 8 -16 32 -64 128 -256 512 -1024 2048 -4096 8192 -16384 32768 -65536 131072 -262144 524288 | +| 131 | CatalanSqr:Inv | AccSum | missing | 1 -1 -2 5 -3 -4 9 -5 -6 13 -7 -8 17 -9 -10 21 -11 -12 25 -13 -14 29 -15 -16 33 -17 -18 37 -19 -20 | +| 132 | CatalanSqr:Inv | AccRevSum | missing | 1 1 -2 0 3 -3 -1 5 -4 -2 7 -5 -3 9 -6 -4 11 -7 -5 13 -8 -6 15 -9 -7 17 -10 -8 19 -11 -9 21 | +| 133 | CatalanSqr:Inv | RowLcm | missing | 1 1 3 30 210 1260 13860 180180 180180 6126120 116396280 116396280 2677114440 13385572200 | +| 134 | CatalanSqr:Inv | RowGcd | A103755 | 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 135 | CatalanSqr:Inv | RowMax | missing | 1 1 3 6 15 35 84 210 495 1287 3003 8008 19448 50388 125970 319770 817190 2042975 5311735 13123110 | +| 136 | CatalanSqr:Inv | ColMiddle | missing | 1 -1 -3 6 15 -35 -84 210 495 -1287 -3003 8008 18564 -50388 -116280 319770 735471 -2042975 -4686825 | +| 137 | CatalanSqr:Inv | CentralE | A005809 | 1 -3 15 -84 495 -3003 18564 -116280 735471 -4686825 30045015 -193536720 1251677700 -8122425444 | +| 138 | CatalanSqr:Inv | CentralO | A117671 | -1 6 -35 210 -1287 8008 -50388 319770 -2042975 13123110 -84672315 548354040 -3562467300 23206929840 | +| 139 | CatalanSqr:Inv | BinConv | missing | 1 0 -4 3 24 -40 -145 420 784 -3948 -3024 34320 -3729 -277992 261404 2085083 -3912480 -14151072 | +| 140 | CatalanSqr:Inv | InvBinConv | A082759 | 1 2 8 35 160 752 3599 17446 85376 420884 2087008 10398016 52010479 261021854 1313707256 6628095035 | +| 141 | CatalanSqr:Inv | TransNat0 | A076118 | 0 1 -1 -1 3 -2 -2 5 -3 -3 7 -4 -4 9 -5 -5 11 -6 -6 13 -7 -7 15 -8 -8 17 -9 -9 19 -10 -10 21 | +| 142 | CatalanSqr:Inv | TransNat1 | missing | 1 1 -2 0 3 -3 -1 5 -4 -2 7 -5 -3 9 -6 -4 11 -7 -5 13 -8 -6 15 -9 -7 17 -10 -8 19 -11 -9 21 | +| 143 | CatalanSqr:Inv | TransSqrs | missing | 0 1 1 -5 3 8 -16 5 21 -33 7 40 -56 9 65 -85 11 96 -120 13 133 -161 15 176 -208 17 225 -261 19 280 | +| 144 | CatalanSqr:Inv | PosHalf | A087168 | 1 -1 -1 7 -17 23 -1 -89 271 -457 287 967 -4049 8279 -8641 -7193 56143 -139657 194399 -24569 -703889 | +| 145 | CatalanSqr:Inv | NegHalf | A007583 | 1 3 11 43 171 683 2731 10923 43691 174763 699051 2796203 11184811 44739243 178956971 715827883 | +| 146 | CatalanSqr:Inv | DiagRow1 | A005408 | -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 -51 | +| 147 | CatalanSqr:Inv | DiagRow2 | B000384 | 1 6 15 28 45 66 91 120 153 190 231 276 325 378 435 496 561 630 703 780 861 946 1035 1128 1225 1326 | +| 148 | CatalanSqr:Inv | DiagRow3 | B000447 | -1 -10 -35 -84 -165 -286 -455 -680 -969 -1330 -1771 -2300 -2925 -3654 -4495 -5456 -6545 -7770 -9139 | +| 149 | CatalanSqr:Inv | DiagCol1 | A025731 | 1 -3 6 -10 15 -21 28 -36 45 -55 66 -78 91 -105 120 -136 153 -171 190 -210 231 -253 276 -300 325 | +| 150 | CatalanSqr:Inv | DiagCol2 | B000332 | 1 -5 15 -35 70 -126 210 -330 495 -715 1001 -1365 1820 -2380 3060 -3876 4845 -5985 7315 -8855 10626 | +| 151 | CatalanSqr:Inv | DiagCol3 | B000579 | 1 -7 28 -84 210 -462 924 -1716 3003 -5005 8008 -12376 18564 -27132 38760 -54264 74613 -100947 | +| 152 | CatalanSqr:Inv | Poly | A213953 | 1 -1 1 1 0 1 -1 -1 1 1 1 1 -1 2 1 -1 0 -1 1 3 1 1 -1 1 -1 5 4 1 -1 1 1 -2 7 11 5 1 1 0 -1 -1 9 29 | +| 153 | CatalanSqr:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 154 | CatalanSqr:Inv | PolyRow2 | A165900 | 1 -1 -1 1 5 11 19 29 41 55 71 89 109 131 155 181 209 239 271 305 341 379 419 461 505 551 599 649 | +| 155 | CatalanSqr:Inv | PolyRow3 | missing | -1 1 -1 -1 7 29 71 139 239 377 559 791 1079 1429 1847 2339 2911 3569 4319 5167 6119 7181 8359 9659 | +| 156 | CatalanSqr:Inv | PolyCol3 | A057079 | 1 2 1 -1 -2 -1 1 2 1 -1 -2 -1 1 2 1 -1 -2 -1 1 2 1 -1 -2 -1 1 2 1 -1 -2 -1 1 2 | +| 157 | CatalanSqr:Inv | PolyDiag | missing | 1 0 -1 -1 9 199 3691 73254 1607521 39088169 1048062951 30789776159 984771132841 34088956044012 | +| 158 | CatalanSqr:Inv:Rev | Triangle | A054142 | 1 1 -1 1 -3 1 1 -5 6 -1 1 -7 15 -10 1 1 -9 28 -35 15 -1 1 -11 45 -84 70 -21 1 1 -13 66 -165 210 | +| 159 | CatalanSqr:Inv:Rev | Rev | A085478 | 1 -1 1 1 -3 1 -1 6 -5 1 1 -10 15 -7 1 -1 15 -35 28 -9 1 1 -21 70 -84 45 -11 1 -1 28 -126 210 -165 | +| 160 | CatalanSqr:Inv:Rev | Inv | missing | 1 -1 1 -4 3 1 18 -13 -6 1 232 -168 -75 10 1 -2748 1990 887 -115 -15 1 -72268 52334 23328 -3031 -385 | +| 161 | CatalanSqr:Inv:Rev | RevInv | missing | 1 1 -1 1 3 -4 1 -6 -13 18 1 10 -75 -168 232 1 -15 -115 887 1990 -2748 1 21 -385 -3031 23328 52334 | +| 162 | CatalanSqr:Inv:Rev | InvRev | A039599 | 1 1 1 2 3 1 5 9 5 1 14 28 20 7 1 42 90 75 35 9 1 132 297 275 154 54 11 1 429 1001 1001 637 273 77 | +| 163 | CatalanSqr:Inv:Rev | Acc | missing | 1 1 0 1 -2 -1 1 -4 2 1 1 -6 9 -1 0 1 -8 20 -15 0 -1 1 -10 35 -49 21 0 1 1 -12 54 -111 99 -27 1 0 1 | +| 164 | CatalanSqr:Inv:Rev | AccRev | missing | 1 -1 0 1 -2 -1 -1 5 0 1 1 -9 6 -1 0 -1 14 -21 7 -2 -1 1 -20 50 -34 11 0 1 -1 27 -99 111 -54 12 -1 0 | +| 165 | CatalanSqr:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -3 1 -5 1 1 -7 6 1 -9 15 -1 1 -11 28 -10 1 -13 45 -35 1 1 -15 66 -84 15 1 -17 91 -165 70 | +| 166 | CatalanSqr:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -6 3 1 -10 18 -4 1 -14 45 -40 5 1 -18 84 -140 75 -6 1 -22 135 -336 350 -126 7 1 -26 198 | +| 167 | CatalanSqr:Inv:Rev | RowSum | A057078 | 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 -1 1 0 | +| 168 | CatalanSqr:Inv:Rev | EvenSum | A108479 | 1 1 2 7 17 44 117 305 798 2091 5473 14328 37513 98209 257114 673135 1762289 4613732 12078909 | +| 169 | CatalanSqr:Inv:Rev | OddSum | A099511 | 0 -1 -3 -6 -17 -45 -116 -305 -799 -2090 -5473 -14329 -37512 -98209 -257115 -673134 -1762289 | +| 170 | CatalanSqr:Inv:Rev | AltSum | A099496 | 1 2 5 13 34 89 233 610 1597 4181 10946 28657 75025 196418 514229 1346269 3524578 9227465 24157817 | +| 171 | CatalanSqr:Inv:Rev | DiagSum | missing | 1 1 0 -2 -3 0 6 8 -1 -17 -21 5 48 55 -20 -135 -143 72 378 369 -244 -1054 -944 795 2927 2391 -2519 | +| 172 | CatalanSqr:Inv:Rev | AccSum | missing | 1 1 -2 0 3 -3 -1 5 -4 -2 7 -5 -3 9 -6 -4 11 -7 -5 13 -8 -6 15 -9 -7 17 -10 -8 19 -11 -9 21 | +| 173 | CatalanSqr:Inv:Rev | AccRevSum | missing | 1 -1 -2 5 -3 -4 9 -5 -6 13 -7 -8 17 -9 -10 21 -11 -12 25 -13 -14 29 -15 -16 33 -17 -18 37 -19 -20 | +| 174 | CatalanSqr:Inv:Rev | RowLcm | missing | 1 1 3 30 210 1260 13860 180180 180180 6126120 116396280 116396280 2677114440 13385572200 | +| 175 | CatalanSqr:Inv:Rev | RowGcd | A103755 | 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 176 | CatalanSqr:Inv:Rev | RowMax | missing | 1 1 3 6 15 35 84 210 495 1287 3003 8008 19448 50388 125970 319770 817190 2042975 5311735 13123110 | +| 177 | CatalanSqr:Inv:Rev | ColMiddle | missing | 1 1 -3 -5 15 28 -84 -165 495 1001 -3003 -6188 18564 38760 -116280 -245157 735471 1562275 -4686825 | +| 178 | CatalanSqr:Inv:Rev | CentralE | A005809 | 1 -3 15 -84 495 -3003 18564 -116280 735471 -4686825 30045015 -193536720 1251677700 -8122425444 | +| 179 | CatalanSqr:Inv:Rev | CentralO | B025174 | 1 -5 28 -165 1001 -6188 38760 -245157 1562275 -10015005 64512240 -417225900 2707475148 -17620076360 | +| 180 | CatalanSqr:Inv:Rev | BinConv | missing | 1 0 -4 3 24 -40 -145 420 784 -3948 -3024 34320 -3729 -277992 261404 2085083 -3912480 -14151072 | +| 181 | CatalanSqr:Inv:Rev | InvBinConv | A082759 | 1 -2 8 -35 160 -752 3599 -17446 85376 -420884 2087008 -10398016 52010479 -261021854 1313707256 | +| 182 | CatalanSqr:Inv:Rev | TransNat0 | B138187 | 0 -1 -1 4 -3 -3 8 -5 -5 12 -7 -7 16 -9 -9 20 -11 -11 24 -13 -13 28 -15 -15 32 -17 -17 36 -19 -19 40 | +| 183 | CatalanSqr:Inv:Rev | TransNat1 | missing | 1 -1 -2 5 -3 -4 9 -5 -6 13 -7 -8 17 -9 -10 21 -11 -12 25 -13 -14 29 -15 -16 33 -17 -18 37 -19 -20 | +| 184 | CatalanSqr:Inv:Rev | TransSqrs | missing | 0 -1 1 10 -21 3 44 -65 5 102 -133 7 184 -225 9 290 -341 11 420 -481 13 574 -645 15 752 -833 17 954 | +| 185 | CatalanSqr:Inv:Rev | NegHalf | A079935 | 1 -3 11 -41 153 -571 2131 -7953 29681 -110771 413403 -1542841 5757961 -21489003 80198051 -299303201 | +| 186 | CatalanSqr:Inv:Rev | DiagRow1 | A025731 | 1 -3 6 -10 15 -21 28 -36 45 -55 66 -78 91 -105 120 -136 153 -171 190 -210 231 -253 276 -300 325 | +| 187 | CatalanSqr:Inv:Rev | DiagRow2 | B000332 | 1 -5 15 -35 70 -126 210 -330 495 -715 1001 -1365 1820 -2380 3060 -3876 4845 -5985 7315 -8855 10626 | +| 188 | CatalanSqr:Inv:Rev | DiagRow3 | B000579 | 1 -7 28 -84 210 -462 924 -1716 3003 -5005 8008 -12376 18564 -27132 38760 -54264 74613 -100947 | +| 189 | CatalanSqr:Inv:Rev | DiagCol1 | A005408 | -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 -51 | +| 190 | CatalanSqr:Inv:Rev | DiagCol2 | B000384 | 1 6 15 28 45 66 91 120 153 190 231 276 325 378 435 496 561 630 703 780 861 946 1035 1128 1225 1326 | +| 191 | CatalanSqr:Inv:Rev | DiagCol3 | B000447 | -1 -10 -35 -84 -165 -286 -455 -680 -969 -1330 -1771 -2300 -2925 -3654 -4495 -5456 -6545 -7770 -9139 | +| 192 | CatalanSqr:Inv:Rev | Poly | A213953 | 1 1 1 1 0 1 1 -1 -1 1 1 1 -1 -2 1 1 0 7 1 -3 1 1 -1 -17 13 5 -4 1 1 1 23 -74 13 11 -5 1 1 0 -1 253 | +| 193 | CatalanSqr:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 194 | CatalanSqr:Inv:Rev | PolyRow2 | A165900 | 1 -1 -1 1 5 11 19 29 41 55 71 89 109 131 155 181 209 239 271 305 341 379 419 461 505 551 599 649 | +| 195 | CatalanSqr:Inv:Rev | PolyRow3 | missing | 1 1 7 13 13 1 -29 -83 -167 -287 -449 -659 -923 -1247 -1637 -2099 -2639 -3263 -3977 -4787 -5699 | +| 196 | CatalanSqr:Inv:Rev | PolyCol2 | A087168 | 1 -1 -1 7 -17 23 -1 -89 271 -457 287 967 -4049 8279 -8641 -7193 56143 -139657 194399 -24569 -703889 | +| 197 | CatalanSqr:Inv:Rev | PolyCol3 | A087169 | 1 -2 1 13 -74 253 -599 718 1801 -15467 61126 -166427 282001 87838 -2977199 14095453 -43682474 | +| 198 | CatalanSqr:Inv:Rev | PolyDiag | missing | 1 0 -1 13 -171 2531 -42509 803706 -16922039 392603041 -9939764889 272179139629 -7994327524259 | \ No newline at end of file diff --git a/data/md/CentralCycle.md b/data/md/CentralCycle.md index 523186d..381e5ae 100644 --- a/data/md/CentralCycle.md +++ b/data/md/CentralCycle.md @@ -1,76 +1,114 @@ -| | triangle | trait | anum | seq | -|---:|:-----------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | CentralCycle:Std | Triangle | A269940 | 1 0 1 0 2 3 0 6 20 15 0 24 130 210 105 0 120 924 2380 2520 945 0 720 7308 26432 44100 34650 10395 0 | -| 1 | CentralCycle:Std | Rev | missing | 1 1 0 3 2 0 15 20 6 0 105 210 130 24 0 945 2520 2380 924 120 0 10395 34650 44100 26432 7308 720 0 | -| 2 | CentralCycle:Std | Acc | missing | 1 0 1 0 2 5 0 6 26 41 0 24 154 364 469 0 120 1044 3424 5944 6889 0 720 8028 34460 78560 113210 | -| 3 | CentralCycle:Std | AccRev | missing | 1 1 1 3 5 5 15 35 41 41 105 315 445 469 469 945 3465 5845 6769 6889 6889 10395 45045 89145 115577 | -| 4 | CentralCycle:Std | AntiDiag | A106828 | 1 0 0 1 0 2 0 6 3 0 24 20 0 120 130 15 0 720 924 210 0 5040 7308 2380 105 0 40320 64224 26432 2520 | -| 5 | CentralCycle:Std | Diffx1 | missing | 1 0 2 0 4 9 0 12 60 60 0 48 390 840 525 0 240 2772 9520 12600 5670 0 1440 21924 105728 220500 | -| 6 | CentralCycle:Std | RowSum | A032188 | 1 1 5 41 469 6889 123605 2620169 64074901 1775623081 54989743445 1882140936521 70552399533589 | -| 7 | CentralCycle:Std | EvenSum | missing | 1 0 3 20 235 3444 61803 1310084 32037451 887811540 27494871723 941070468260 35276199766795 | -| 8 | CentralCycle:Std | OddSum | missing | 0 1 2 21 234 3445 61802 1310085 32037450 887811541 27494871722 941070468261 35276199766794 | -| 9 | CentralCycle:Std | DiagSum | A000166 | 1 0 1 2 9 44 265 1854 14833 133496 1334961 14684570 176214841 2290792932 32071101049 481066515734 | -| 10 | CentralCycle:Std | AccSum | missing | 1 1 7 73 1011 17421 358583 8575169 233499227 7129778357 241209015807 8954112241449 361814361712675 | -| 11 | CentralCycle:Std | AccRevSum | missing | 1 2 13 132 1803 30802 630257 15006352 407249783 12402075534 418667905533 15513719933324 | -| 12 | CentralCycle:Std | RowLcm | missing | 1 1 6 60 10920 1413720 39840292800 6652505239380000 2048503569859181635200 | -| 13 | CentralCycle:Std | RowMax | missing | 1 1 3 20 210 2520 44100 866250 18858840 520059540 14980405440 486591585480 17856935296200 | -| 14 | CentralCycle:Std | ColMiddle | missing | 1 0 2 6 130 924 26432 303660 11098780 177331440 7934927000 162831789120 8637235647040 | -| 15 | CentralCycle:Std | CentralE | missing | 1 2 130 26432 11098780 7934927000 8637235647040 13306928148113600 27563542664861323120 | -| 16 | CentralCycle:Std | CentralO | missing | 0 6 924 303660 177331440 162831789120 216752221445760 395063504843607600 945287743578415036800 | -| 17 | CentralCycle:Std | ColRight | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | -| 18 | CentralCycle:Std | BinConv | missing | 1 1 7 93 1821 47185 1522375 58808449 2646575953 135989069049 7855656271695 503968974045405 | -| 19 | CentralCycle:Std | InvBinConv | missing | 1 1 -1 -27 -51 3505 40655 -828919 -29640527 145577529 27107045415 302955618405 -29149221516195 | -| 20 | CentralCycle:Std | TransNat0 | missing | 0 1 8 91 1334 23913 506652 12386183 343174882 10626452453 363678162088 13631578996803 | -| 21 | CentralCycle:Std | TransNat1 | missing | 1 2 13 132 1803 30802 630257 15006352 407249783 12402075534 418667905533 15513719933324 | -| 22 | CentralCycle:Std | TransSqrs | missing | 0 1 14 221 4114 89181 2213910 62017301 1936315234 66696441109 2512886126486 102811622531229 | -| 23 | CentralCycle:Std | PosHalf | missing | 1 1 7 79 1237 24817 607519 17560063 585330109 22104345409 932722154743 43492678445551 | -| 24 | CentralCycle:Std | NegHalf | B001662 | 1 1 -1 -1 13 -47 -73 2447 -16811 -15551 1726511 -18994849 10979677 2983409137 -48421103257 | -| 25 | CentralCycle:Std | DiagRow1 | A000906 | 0 2 20 210 2520 34650 540540 9459450 183783600 3928374450 91662070500 2319050383650 63246828645000 | -| 26 | CentralCycle:Std | DiagRow2 | A000907 | 0 6 130 2380 44100 866250 18288270 416215800 10199989800 268438920750 7562120816250 227266937597700 | -| 27 | CentralCycle:Std | DiagRow3 | B001784 | 0 24 924 26432 705320 18858840 520059540 14980405440 453247114320 14433720701400 483908513388300 | -| 28 | CentralCycle:Std | DiagCol1 | B000142 | 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000 | -| 29 | CentralCycle:Std | DiagCol2 | A000276 | 3 20 130 924 7308 64224 623376 6636960 76998240 967524480 13096736640 190060335360 2944310342400 | -| 30 | CentralCycle:Std | DiagCol3 | A000483 | 15 210 2380 26432 303660 3678840 47324376 647536032 9418945536 145410580224 2377609752960 | -| 31 | CentralCycle:Std | Poly | missing | 1 0 1 0 1 1 0 5 2 1 0 41 16 3 1 0 469 212 33 4 1 0 6889 3928 603 56 5 1 0 123605 93536 15417 1304 | -| 32 | CentralCycle:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 33 | CentralCycle:Std | PolyRow2 | A045944 | 0 5 16 33 56 85 120 161 208 261 320 385 456 533 616 705 800 901 1008 1121 1240 1365 1496 1633 1776 | -| 34 | CentralCycle:Std | PolyRow3 | missing | 0 41 212 603 1304 2405 3996 6167 9008 12609 17060 22451 28872 36413 45164 55215 66656 79577 94068 | -| 35 | CentralCycle:Std | PolyCol2 | missing | 1 2 16 212 3928 93536 2721808 93593216 3713245504 166956801728 8389729444864 465960841779968 | -| 36 | CentralCycle:Std | PolyCol3 | missing | 1 3 33 603 15417 506691 20351601 966015531 52906036329 3283794968787 227795984943777 | -| 37 | CentralCycle:Std | PolyDiag | missing | 1 1 16 603 42496 4849325 817557840 191243348471 59305251856384 23552891957893329 | -| 38 | CentralCycle:Rev | Triangle | missing | 1 1 0 3 2 0 15 20 6 0 105 210 130 24 0 945 2520 2380 924 120 0 10395 34650 44100 26432 7308 720 0 | -| 39 | CentralCycle:Rev | Acc | missing | 1 1 1 3 5 5 15 35 41 41 105 315 445 469 469 945 3465 5845 6769 6889 6889 10395 45045 89145 115577 | -| 40 | CentralCycle:Rev | AccRev | missing | 1 0 1 0 2 5 0 6 26 41 0 24 154 364 469 0 120 1044 3424 5944 6889 0 720 8028 34460 78560 113210 | -| 41 | CentralCycle:Rev | AntiDiag | missing | 1 1 3 0 15 2 105 20 0 945 210 6 10395 2520 130 0 135135 34650 2380 24 2027025 540540 44100 924 0 | -| 42 | CentralCycle:Rev | Diffx1 | missing | 1 1 0 3 4 0 15 40 18 0 105 420 390 96 0 945 5040 7140 3696 600 0 10395 69300 132300 105728 36540 | -| 43 | CentralCycle:Rev | RowSum | A032188 | 1 1 5 41 469 6889 123605 2620169 64074901 1775623081 54989743445 1882140936521 70552399533589 | -| 44 | CentralCycle:Rev | EvenSum | missing | 1 1 3 21 235 3445 61803 1310085 32037451 887811541 27494871723 941070468261 35276199766795 | -| 45 | CentralCycle:Rev | OddSum | missing | 0 0 2 20 234 3444 61802 1310084 32037450 887811540 27494871722 941070468260 35276199766794 | -| 46 | CentralCycle:Rev | DiagSum | missing | 1 1 3 17 125 1161 13045 172189 2612589 44811677 857513573 18113064045 418627426069 10508716423405 | -| 47 | CentralCycle:Rev | AccSum | missing | 1 2 13 132 1803 30802 630257 15006352 407249783 12402075534 418667905533 15513719933324 | -| 48 | CentralCycle:Rev | AccRevSum | missing | 1 1 7 73 1011 17421 358583 8575169 233499227 7129778357 241209015807 8954112241449 361814361712675 | -| 49 | CentralCycle:Rev | RowLcm | missing | 1 1 6 60 10920 1413720 39840292800 6652505239380000 2048503569859181635200 | -| 50 | CentralCycle:Rev | RowMax | missing | 1 1 3 20 210 2520 44100 866250 18858840 520059540 14980405440 486591585480 17856935296200 | -| 51 | CentralCycle:Rev | ColMiddle | missing | 1 1 2 20 130 2380 26432 705320 11098780 389449060 7934927000 345240896000 8637235647040 | -| 52 | CentralCycle:Rev | CentralE | missing | 1 2 130 26432 11098780 7934927000 8637235647040 13306928148113600 27563542664861323120 | -| 53 | CentralCycle:Rev | CentralO | missing | 1 20 2380 705320 389449060 345240896000 448594185959920 803351393628623840 1896599794387175878000 | -| 54 | CentralCycle:Rev | ColLeft | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | -| 55 | CentralCycle:Rev | BinConv | missing | 1 1 7 93 1821 47185 1522375 58808449 2646575953 135989069049 7855656271695 503968974045405 | -| 56 | CentralCycle:Rev | InvBinConv | missing | 1 -1 -1 27 -51 -3505 40655 828919 -29640527 -145577529 27107045415 -302955618405 -29149221516195 | -| 57 | CentralCycle:Rev | TransNat0 | missing | 0 0 2 32 542 10532 234978 5955000 169424326 5354155276 186219272362 7071971304928 291261962179086 | -| 58 | CentralCycle:Rev | TransNat1 | missing | 1 1 7 73 1011 17421 358583 8575169 233499227 7129778357 241209015807 8954112241449 361814361712675 | -| 59 | CentralCycle:Rev | TransSqrs | missing | 0 0 2 44 946 22276 583866 16999020 546310786 19245766516 738297229226 30655937920604 | -| 60 | CentralCycle:Rev | PosHalf | missing | 1 2 16 212 3928 93536 2721808 93593216 3713245504 166956801728 8389729444864 465960841779968 | -| 61 | CentralCycle:Rev | NegHalf | A006351 | 1 -2 8 -52 472 -5504 78416 -1320064 25637824 -564275648 13879795712 -377332365568 11234698041088 | -| 62 | CentralCycle:Rev | DiagRow1 | B000142 | 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000 | -| 63 | CentralCycle:Rev | DiagRow2 | A000276 | 3 20 130 924 7308 64224 623376 6636960 76998240 967524480 13096736640 190060335360 2944310342400 | -| 64 | CentralCycle:Rev | DiagRow3 | A000483 | 15 210 2380 26432 303660 3678840 47324376 647536032 9418945536 145410580224 2377609752960 | -| 65 | CentralCycle:Rev | DiagCol1 | A000906 | 0 2 20 210 2520 34650 540540 9459450 183783600 3928374450 91662070500 2319050383650 63246828645000 | -| 66 | CentralCycle:Rev | DiagCol2 | A000907 | 0 6 130 2380 44100 866250 18288270 416215800 10199989800 268438920750 7562120816250 227266937597700 | -| 67 | CentralCycle:Rev | DiagCol3 | B001784 | 0 24 924 26432 705320 18858840 520059540 14980405440 453247114320 14433720701400 483908513388300 | -| 68 | CentralCycle:Rev | Poly | missing | 1 1 1 3 1 1 15 5 1 1 105 41 7 1 1 945 469 79 9 1 1 10395 6889 1237 129 11 1 1 135135 123605 24817 | -| 69 | CentralCycle:Rev | PolyRow2 | A081874 | 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 | -| 70 | CentralCycle:Rev | PolyRow3 | B239325 | 15 41 79 129 191 265 351 449 559 681 815 961 1119 1289 1471 1665 1871 2089 2319 2561 2815 3081 3359 | -| 71 | CentralCycle:Rev | PolyCol2 | missing | 1 1 7 79 1237 24817 607519 17560063 585330109 22104345409 932722154743 43492678445551 | -| 72 | CentralCycle:Rev | PolyCol3 | missing | 1 1 9 129 2553 64593 1991817 72473697 3039768729 144405631089 7663786510761 449399632734081 | -| 73 | CentralCycle:Rev | PolyDiag | missing | 1 1 7 129 4561 263545 22585095 2689741313 424884156769 85956226636041 21670469260893575 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:-----------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | CentralCycle:Std | Triangle | A269940 | 1 0 1 0 2 3 0 6 20 15 0 24 130 210 105 0 120 924 2380 2520 945 0 720 7308 26432 44100 34650 10395 0 | +| 1 | CentralCycle:Std | Rev | missing | 1 1 0 3 2 0 15 20 6 0 105 210 130 24 0 945 2520 2380 924 120 0 10395 34650 44100 26432 7308 720 0 | +| 2 | CentralCycle:Std | Acc | missing | 1 0 1 0 2 5 0 6 26 41 0 24 154 364 469 0 120 1044 3424 5944 6889 0 720 8028 34460 78560 113210 | +| 3 | CentralCycle:Std | AccRev | missing | 1 1 1 3 5 5 15 35 41 41 105 315 445 469 469 945 3465 5845 6769 6889 6889 10395 45045 89145 115577 | +| 4 | CentralCycle:Std | AntiDiag | A106828 | 1 0 0 1 0 2 0 6 3 0 24 20 0 120 130 15 0 720 924 210 0 5040 7308 2380 105 0 40320 64224 26432 2520 | +| 5 | CentralCycle:Std | Diffx1 | missing | 1 0 2 0 4 9 0 12 60 60 0 48 390 840 525 0 240 2772 9520 12600 5670 0 1440 21924 105728 220500 | +| 6 | CentralCycle:Std | RowSum | A032188 | 1 1 5 41 469 6889 123605 2620169 64074901 1775623081 54989743445 1882140936521 70552399533589 | +| 7 | CentralCycle:Std | EvenSum | missing | 1 0 3 20 235 3444 61803 1310084 32037451 887811540 27494871723 941070468260 35276199766795 | +| 8 | CentralCycle:Std | OddSum | missing | 0 1 2 21 234 3445 61802 1310085 32037450 887811541 27494871722 941070468261 35276199766794 | +| 9 | CentralCycle:Std | DiagSum | A000166 | 1 0 1 2 9 44 265 1854 14833 133496 1334961 14684570 176214841 2290792932 32071101049 481066515734 | +| 10 | CentralCycle:Std | AccSum | missing | 1 1 7 73 1011 17421 358583 8575169 233499227 7129778357 241209015807 8954112241449 361814361712675 | +| 11 | CentralCycle:Std | AccRevSum | missing | 1 2 13 132 1803 30802 630257 15006352 407249783 12402075534 418667905533 15513719933324 | +| 12 | CentralCycle:Std | RowLcm | missing | 1 1 6 60 10920 1413720 39840292800 6652505239380000 2048503569859181635200 | +| 13 | CentralCycle:Std | RowMax | missing | 1 1 3 20 210 2520 44100 866250 18858840 520059540 14980405440 486591585480 17856935296200 | +| 14 | CentralCycle:Std | ColMiddle | missing | 1 0 2 6 130 924 26432 303660 11098780 177331440 7934927000 162831789120 8637235647040 | +| 15 | CentralCycle:Std | CentralE | missing | 1 2 130 26432 11098780 7934927000 8637235647040 13306928148113600 27563542664861323120 | +| 16 | CentralCycle:Std | CentralO | missing | 0 6 924 303660 177331440 162831789120 216752221445760 395063504843607600 945287743578415036800 | +| 17 | CentralCycle:Std | ColRight | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | +| 18 | CentralCycle:Std | BinConv | missing | 1 1 7 93 1821 47185 1522375 58808449 2646575953 135989069049 7855656271695 503968974045405 | +| 19 | CentralCycle:Std | InvBinConv | missing | 1 1 -1 -27 -51 3505 40655 -828919 -29640527 145577529 27107045415 302955618405 -29149221516195 | +| 20 | CentralCycle:Std | TransNat0 | missing | 0 1 8 91 1334 23913 506652 12386183 343174882 10626452453 363678162088 13631578996803 | +| 21 | CentralCycle:Std | TransNat1 | missing | 1 2 13 132 1803 30802 630257 15006352 407249783 12402075534 418667905533 15513719933324 | +| 22 | CentralCycle:Std | TransSqrs | missing | 0 1 14 221 4114 89181 2213910 62017301 1936315234 66696441109 2512886126486 102811622531229 | +| 23 | CentralCycle:Std | PosHalf | missing | 1 1 7 79 1237 24817 607519 17560063 585330109 22104345409 932722154743 43492678445551 | +| 24 | CentralCycle:Std | NegHalf | B001662 | 1 1 -1 -1 13 -47 -73 2447 -16811 -15551 1726511 -18994849 10979677 2983409137 -48421103257 | +| 25 | CentralCycle:Std | DiagRow1 | A000906 | 0 2 20 210 2520 34650 540540 9459450 183783600 3928374450 91662070500 2319050383650 63246828645000 | +| 26 | CentralCycle:Std | DiagRow2 | A000907 | 0 6 130 2380 44100 866250 18288270 416215800 10199989800 268438920750 7562120816250 227266937597700 | +| 27 | CentralCycle:Std | DiagRow3 | B001784 | 0 24 924 26432 705320 18858840 520059540 14980405440 453247114320 14433720701400 483908513388300 | +| 28 | CentralCycle:Std | DiagCol1 | B000142 | 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000 | +| 29 | CentralCycle:Std | DiagCol2 | A000276 | 3 20 130 924 7308 64224 623376 6636960 76998240 967524480 13096736640 190060335360 2944310342400 | +| 30 | CentralCycle:Std | DiagCol3 | A000483 | 15 210 2380 26432 303660 3678840 47324376 647536032 9418945536 145410580224 2377609752960 | +| 31 | CentralCycle:Std | Poly | missing | 1 0 1 0 1 1 0 5 2 1 0 41 16 3 1 0 469 212 33 4 1 0 6889 3928 603 56 5 1 0 123605 93536 15417 1304 | +| 32 | CentralCycle:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 33 | CentralCycle:Std | PolyRow2 | A045944 | 0 5 16 33 56 85 120 161 208 261 320 385 456 533 616 705 800 901 1008 1121 1240 1365 1496 1633 1776 | +| 34 | CentralCycle:Std | PolyRow3 | missing | 0 41 212 603 1304 2405 3996 6167 9008 12609 17060 22451 28872 36413 45164 55215 66656 79577 94068 | +| 35 | CentralCycle:Std | PolyCol2 | missing | 1 2 16 212 3928 93536 2721808 93593216 3713245504 166956801728 8389729444864 465960841779968 | +| 36 | CentralCycle:Std | PolyCol3 | missing | 1 3 33 603 15417 506691 20351601 966015531 52906036329 3283794968787 227795984943777 | +| 37 | CentralCycle:Std | PolyDiag | missing | 1 1 16 603 42496 4849325 817557840 191243348471 59305251856384 23552891957893329 | +| 38 | CentralCycle:Alt | Triangle | A269940 | 1 0 -1 0 -2 3 0 -6 20 -15 0 -24 130 -210 105 0 -120 924 -2380 2520 -945 0 -720 7308 -26432 44100 | +| 39 | CentralCycle:Alt | Rev | missing | 1 -1 0 3 -2 0 -15 20 -6 0 105 -210 130 -24 0 -945 2520 -2380 924 -120 0 10395 -34650 44100 -26432 | +| 40 | CentralCycle:Alt | Acc | missing | 1 0 -1 0 -2 1 0 -6 14 -1 0 -24 106 -104 1 0 -120 804 -1576 944 -1 0 -720 6588 -19844 24256 -10394 1 | +| 41 | CentralCycle:Alt | AccRev | missing | 1 -1 -1 3 1 1 -15 5 -1 -1 105 -105 25 1 1 -945 1575 -805 119 -1 -1 10395 -24255 19845 -6587 721 1 1 | +| 42 | CentralCycle:Alt | AntiDiag | A106828 | 1 0 0 -1 0 -2 0 -6 3 0 -24 20 0 -120 130 -15 0 -720 924 -210 0 -5040 7308 -2380 105 0 -40320 64224 | +| 43 | CentralCycle:Alt | Diffx1 | missing | 1 0 -2 0 -4 9 0 -12 60 -60 0 -48 390 -840 525 0 -240 2772 -9520 12600 -5670 0 -1440 21924 -105728 | +| 44 | CentralCycle:Alt | EvenSum | missing | 1 0 3 20 235 3444 61803 1310084 32037451 887811540 27494871723 941070468260 35276199766795 | +| 45 | CentralCycle:Alt | OddSum | missing | 0 -1 -2 -21 -234 -3445 -61802 -1310085 -32037450 -887811541 -27494871722 -941070468261 | +| 46 | CentralCycle:Alt | AltSum | A032188 | 1 1 5 41 469 6889 123605 2620169 64074901 1775623081 54989743445 1882140936521 70552399533589 | +| 47 | CentralCycle:Alt | DiagSum | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 48 | CentralCycle:Alt | AccSum | B070313 | 1 -1 -1 7 -21 51 -113 239 -493 1003 -2025 4071 -8165 16355 -32737 65503 -131037 262107 -524249 | +| 49 | CentralCycle:Alt | AccRevSum | B000325 | 1 -2 5 -12 27 -58 121 -248 503 -1014 2037 -4084 8179 -16370 32753 -65520 131055 -262126 524269 | +| 50 | CentralCycle:Alt | RowLcm | missing | 1 1 6 60 10920 1413720 39840292800 6652505239380000 2048503569859181635200 | +| 51 | CentralCycle:Alt | RowMax | missing | 1 1 3 20 210 2520 44100 866250 18858840 520059540 14980405440 486591585480 17856935296200 | +| 52 | CentralCycle:Alt | ColMiddle | missing | 1 0 -2 -6 130 924 -26432 -303660 11098780 177331440 -7934927000 -162831789120 8637235647040 | +| 53 | CentralCycle:Alt | CentralE | missing | 1 -2 130 -26432 11098780 -7934927000 8637235647040 -13306928148113600 27563542664861323120 | +| 54 | CentralCycle:Alt | CentralO | missing | 0 -6 924 -303660 177331440 -162831789120 216752221445760 -395063504843607600 945287743578415036800 | +| 55 | CentralCycle:Alt | ColRight | A001147 | 1 -1 3 -15 105 -945 10395 -135135 2027025 -34459425 654729075 -13749310575 316234143225 | +| 56 | CentralCycle:Alt | BinConv | missing | 1 -1 -1 27 -51 -3505 40655 828919 -29640527 -145577529 27107045415 -302955618405 -29149221516195 | +| 57 | CentralCycle:Alt | InvBinConv | missing | 1 -1 7 -93 1821 -47185 1522375 -58808449 2646575953 -135989069049 7855656271695 -503968974045405 | +| 58 | CentralCycle:Alt | TransNat0 | A125128 | 0 -1 4 -11 26 -57 120 -247 502 -1013 2036 -4083 8178 -16369 32752 -65519 131054 -262125 524268 | +| 59 | CentralCycle:Alt | TransNat1 | B000325 | 1 -2 5 -12 27 -58 121 -248 503 -1014 2037 -4084 8179 -16370 32753 -65520 131055 -262126 524269 | +| 60 | CentralCycle:Alt | TransSqrs | missing | 0 -1 10 -61 286 -1149 4194 -14389 47374 -151669 476290 -1475709 4529214 -13808461 41900098 | +| 61 | CentralCycle:Alt | PosHalf | B001662 | 1 -1 -1 1 13 47 -73 -2447 -16811 15551 1726511 18994849 10979677 -2983409137 -48421103257 | +| 62 | CentralCycle:Alt | NegHalf | missing | 1 -1 7 -79 1237 -24817 607519 -17560063 585330109 -22104345409 932722154743 -43492678445551 | +| 63 | CentralCycle:Alt | DiagRow1 | A000906 | 0 -2 20 -210 2520 -34650 540540 -9459450 183783600 -3928374450 91662070500 -2319050383650 | +| 64 | CentralCycle:Alt | DiagRow2 | A000907 | 0 -6 130 -2380 44100 -866250 18288270 -416215800 10199989800 -268438920750 7562120816250 | +| 65 | CentralCycle:Alt | DiagRow3 | B001784 | 0 -24 924 -26432 705320 -18858840 520059540 -14980405440 453247114320 -14433720701400 | +| 66 | CentralCycle:Alt | DiagCol1 | B000142 | -1 -2 -6 -24 -120 -720 -5040 -40320 -362880 -3628800 -39916800 -479001600 -6227020800 -87178291200 | +| 67 | CentralCycle:Alt | DiagCol2 | A000276 | 3 20 130 924 7308 64224 623376 6636960 76998240 967524480 13096736640 190060335360 2944310342400 | +| 68 | CentralCycle:Alt | DiagCol3 | A000483 | -15 -210 -2380 -26432 -303660 -3678840 -47324376 -647536032 -9418945536 -145410580224 | +| 69 | CentralCycle:Alt | Poly | A326476 | 1 0 1 0 -1 1 0 1 -2 1 0 -1 8 -3 1 0 1 -52 21 -4 1 0 -1 472 -243 40 -5 1 0 1 -5504 3933 -664 65 -6 1 | +| 70 | CentralCycle:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 71 | CentralCycle:Alt | PolyRow2 | A000567 | 0 1 8 21 40 65 96 133 176 225 280 341 408 481 560 645 736 833 936 1045 1160 1281 1408 1541 1680 | +| 72 | CentralCycle:Alt | PolyRow3 | missing | 0 -1 -52 -243 -664 -1405 -2556 -4207 -6448 -9369 -13060 -17611 -23112 -29653 -37324 -46215 -56416 | +| 73 | CentralCycle:Alt | PolyCol2 | A006351 | 1 -2 8 -52 472 -5504 78416 -1320064 25637824 -564275648 13879795712 -377332365568 11234698041088 | +| 74 | CentralCycle:Alt | PolyCol3 | B058562 | 1 -3 21 -243 3933 -81819 2080053 -62490339 2166106509 -85092601707 3735939709989 -181287330220467 | +| 75 | CentralCycle:Alt | PolyDiag | missing | 1 -1 8 -243 15424 -1653125 267253776 -60662126959 18389742168064 -7175239308404649 | +| 76 | CentralCycle:Rev | Triangle | missing | 1 1 0 3 2 0 15 20 6 0 105 210 130 24 0 945 2520 2380 924 120 0 10395 34650 44100 26432 7308 720 0 | +| 77 | CentralCycle:Rev | Acc | missing | 1 1 1 3 5 5 15 35 41 41 105 315 445 469 469 945 3465 5845 6769 6889 6889 10395 45045 89145 115577 | +| 78 | CentralCycle:Rev | AccRev | missing | 1 0 1 0 2 5 0 6 26 41 0 24 154 364 469 0 120 1044 3424 5944 6889 0 720 8028 34460 78560 113210 | +| 79 | CentralCycle:Rev | AntiDiag | missing | 1 1 3 0 15 2 105 20 0 945 210 6 10395 2520 130 0 135135 34650 2380 24 2027025 540540 44100 924 0 | +| 80 | CentralCycle:Rev | Diffx1 | missing | 1 1 0 3 4 0 15 40 18 0 105 420 390 96 0 945 5040 7140 3696 600 0 10395 69300 132300 105728 36540 | +| 81 | CentralCycle:Rev | RowSum | A032188 | 1 1 5 41 469 6889 123605 2620169 64074901 1775623081 54989743445 1882140936521 70552399533589 | +| 82 | CentralCycle:Rev | EvenSum | missing | 1 1 3 21 235 3445 61803 1310085 32037451 887811541 27494871723 941070468261 35276199766795 | +| 83 | CentralCycle:Rev | OddSum | missing | 0 0 2 20 234 3444 61802 1310084 32037450 887811540 27494871722 941070468260 35276199766794 | +| 84 | CentralCycle:Rev | DiagSum | missing | 1 1 3 17 125 1161 13045 172189 2612589 44811677 857513573 18113064045 418627426069 10508716423405 | +| 85 | CentralCycle:Rev | AccSum | missing | 1 2 13 132 1803 30802 630257 15006352 407249783 12402075534 418667905533 15513719933324 | +| 86 | CentralCycle:Rev | AccRevSum | missing | 1 1 7 73 1011 17421 358583 8575169 233499227 7129778357 241209015807 8954112241449 361814361712675 | +| 87 | CentralCycle:Rev | RowLcm | missing | 1 1 6 60 10920 1413720 39840292800 6652505239380000 2048503569859181635200 | +| 88 | CentralCycle:Rev | RowMax | missing | 1 1 3 20 210 2520 44100 866250 18858840 520059540 14980405440 486591585480 17856935296200 | +| 89 | CentralCycle:Rev | ColMiddle | missing | 1 1 2 20 130 2380 26432 705320 11098780 389449060 7934927000 345240896000 8637235647040 | +| 90 | CentralCycle:Rev | CentralE | missing | 1 2 130 26432 11098780 7934927000 8637235647040 13306928148113600 27563542664861323120 | +| 91 | CentralCycle:Rev | CentralO | missing | 1 20 2380 705320 389449060 345240896000 448594185959920 803351393628623840 1896599794387175878000 | +| 92 | CentralCycle:Rev | ColLeft | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | +| 93 | CentralCycle:Rev | BinConv | missing | 1 1 7 93 1821 47185 1522375 58808449 2646575953 135989069049 7855656271695 503968974045405 | +| 94 | CentralCycle:Rev | InvBinConv | missing | 1 -1 -1 27 -51 -3505 40655 828919 -29640527 -145577529 27107045415 -302955618405 -29149221516195 | +| 95 | CentralCycle:Rev | TransNat0 | missing | 0 0 2 32 542 10532 234978 5955000 169424326 5354155276 186219272362 7071971304928 291261962179086 | +| 96 | CentralCycle:Rev | TransNat1 | missing | 1 1 7 73 1011 17421 358583 8575169 233499227 7129778357 241209015807 8954112241449 361814361712675 | +| 97 | CentralCycle:Rev | TransSqrs | missing | 0 0 2 44 946 22276 583866 16999020 546310786 19245766516 738297229226 30655937920604 | +| 98 | CentralCycle:Rev | PosHalf | missing | 1 2 16 212 3928 93536 2721808 93593216 3713245504 166956801728 8389729444864 465960841779968 | +| 99 | CentralCycle:Rev | NegHalf | A006351 | 1 -2 8 -52 472 -5504 78416 -1320064 25637824 -564275648 13879795712 -377332365568 11234698041088 | +| 100 | CentralCycle:Rev | DiagRow1 | B000142 | 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000 | +| 101 | CentralCycle:Rev | DiagRow2 | A000276 | 3 20 130 924 7308 64224 623376 6636960 76998240 967524480 13096736640 190060335360 2944310342400 | +| 102 | CentralCycle:Rev | DiagRow3 | A000483 | 15 210 2380 26432 303660 3678840 47324376 647536032 9418945536 145410580224 2377609752960 | +| 103 | CentralCycle:Rev | DiagCol1 | A000906 | 0 2 20 210 2520 34650 540540 9459450 183783600 3928374450 91662070500 2319050383650 63246828645000 | +| 104 | CentralCycle:Rev | DiagCol2 | A000907 | 0 6 130 2380 44100 866250 18288270 416215800 10199989800 268438920750 7562120816250 227266937597700 | +| 105 | CentralCycle:Rev | DiagCol3 | B001784 | 0 24 924 26432 705320 18858840 520059540 14980405440 453247114320 14433720701400 483908513388300 | +| 106 | CentralCycle:Rev | Poly | missing | 1 1 1 3 1 1 15 5 1 1 105 41 7 1 1 945 469 79 9 1 1 10395 6889 1237 129 11 1 1 135135 123605 24817 | +| 107 | CentralCycle:Rev | PolyRow2 | A081874 | 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 | +| 108 | CentralCycle:Rev | PolyRow3 | B239325 | 15 41 79 129 191 265 351 449 559 681 815 961 1119 1289 1471 1665 1871 2089 2319 2561 2815 3081 3359 | +| 109 | CentralCycle:Rev | PolyCol2 | missing | 1 1 7 79 1237 24817 607519 17560063 585330109 22104345409 932722154743 43492678445551 | +| 110 | CentralCycle:Rev | PolyCol3 | missing | 1 1 9 129 2553 64593 1991817 72473697 3039768729 144405631089 7663786510761 449399632734081 | +| 111 | CentralCycle:Rev | PolyDiag | missing | 1 1 7 129 4561 263545 22585095 2689741313 424884156769 85956226636041 21670469260893575 | \ No newline at end of file diff --git a/data/md/CentralSet.md b/data/md/CentralSet.md index def69db..d758766 100644 --- a/data/md/CentralSet.md +++ b/data/md/CentralSet.md @@ -40,117 +40,157 @@ | 37 | CentralSet:Std | PolyCol2 | missing | 1 2 6 30 214 2030 24486 362622 6430198 133915022 3224320710 88610897694 2750125115926 | | 38 | CentralSet:Std | PolyCol3 | missing | 1 3 12 75 651 7410 105969 1845291 38230932 925255515 25774036275 816414883626 29109308308401 | | 39 | CentralSet:Std | PolyDiag | missing | 1 1 6 75 1492 42380 1603338 77175007 4572924232 325372117815 27264269064110 2648780159593458 | -| 40 | CentralSet:Rev | Triangle | missing | 1 1 0 1 1 0 1 5 1 0 1 14 21 1 0 1 30 147 85 1 0 1 55 627 1408 341 1 0 1 91 2002 11440 13013 1365 1 | -| 41 | CentralSet:Rev | InvRev | A269944 | 1 0 1 0 -1 1 0 4 -5 1 0 -36 49 -14 1 0 576 -820 273 -30 1 0 -14400 21076 -7645 1023 -55 1 0 518400 | -| 42 | CentralSet:Rev | Acc | missing | 1 1 1 1 2 2 1 6 7 7 1 15 36 37 37 1 31 178 263 264 264 1 56 683 2091 2432 2433 2433 1 92 2094 13534 | -| 43 | CentralSet:Rev | AccRev | missing | 1 0 1 0 1 2 0 1 6 7 0 1 22 36 37 0 1 86 233 263 264 0 1 342 1750 2377 2432 2433 0 1 1366 14379 | -| 44 | CentralSet:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 5 0 1 14 1 1 30 21 0 1 55 147 1 1 91 627 85 0 1 140 2002 1408 1 1 204 5278 11440 341 | -| 45 | CentralSet:Rev | Diffx1 | missing | 1 1 0 1 2 0 1 10 3 0 1 28 63 4 0 1 60 441 340 5 0 1 110 1881 5632 1705 6 0 1 182 6006 45760 65065 | -| 46 | CentralSet:Rev | RowSum | A135920 | 1 1 2 7 37 264 2433 27913 386906 6346119 121159373 2655174768 66028903633 1845579100993 | -| 47 | CentralSet:Rev | EvenSum | missing | 1 1 1 2 22 149 969 15017 206793 2817242 64056886 1357256661 30936365281 967947549313 28575272630753 | -| 48 | CentralSet:Rev | OddSum | missing | 0 0 1 5 15 115 1464 12896 180113 3528877 57102487 1297918107 35092538352 877631551680 | -| 49 | CentralSet:Rev | AltSum | missing | 1 1 0 -3 7 34 -495 2121 26680 -711635 6954399 59338554 -4156173071 90315997633 -356302000656 | -| 50 | CentralSet:Rev | DiagSum | missing | 1 1 1 2 6 16 52 204 804 3552 17264 86928 474496 2746832 16594128 106431776 713006176 4981753088 | -| 51 | CentralSet:Rev | AccSum | missing | 1 2 5 21 126 1001 10129 126006 1877593 32888637 666757418 15442626557 404271491249 11855277004330 | -| 52 | CentralSet:Rev | AccRevSum | missing | 1 1 3 14 96 847 9335 125211 1991467 36918672 787155058 19074645427 520133159613 15828409510565 | -| 53 | CentralSet:Rev | RowLcm | missing | 1 1 1 5 42 24990 12439680 3123120 943260039381660 56022696483932096138220 1035552670984325476824660 | -| 54 | CentralSet:Rev | RowGcd | B128059 | 1 1 1 5 7 1 11 13 1 17 19 1 23 1 1 29 31 1 1 37 1 41 43 1 47 1 1 53 1 1 59 61 | -| 55 | CentralSet:Rev | RowMax | missing | 1 1 1 5 21 147 1408 13013 196053 3255330 53157079 1217854704 31306548900 796513723005 | -| 56 | CentralSet:Rev | ColMiddle | missing | 1 1 1 5 21 147 1408 11440 196053 1733303 46587905 434928221 16875270660 163648537860 8657594647800 | -| 57 | CentralSet:Rev | CentralE | A298851 | 1 1 21 1408 196053 46587905 16875270660 8657594647800 5974284925007685 5336898188553325075 | -| 58 | CentralSet:Rev | CentralO | missing | 1 5 147 11440 1733303 434928221 163648537860 86347951359480 60885363603137535 55328004040455578575 | -| 59 | CentralSet:Rev | BinConv | missing | 1 1 3 19 187 2476 43017 927207 24103963 740949940 26435241416 1079488367112 49893412457605 | -| 60 | CentralSet:Rev | InvBinConv | missing | 1 -1 -1 11 67 -476 -13975 -67803 3944843 123221396 431500536 -109045213608 -4788702631163 | -| 61 | CentralSet:Rev | TransNat0 | missing | 0 0 1 7 59 583 6902 97298 1604561 30572553 665995685 16419470659 454104255980 13982830409572 | -| 62 | CentralSet:Rev | TransNat1 | missing | 1 1 3 14 96 847 9335 125211 1991467 36918672 787155058 19074645427 520133159613 15828409510565 | -| 63 | CentralSet:Rev | TransSqrs | missing | 0 0 1 9 107 1399 20716 353428 6870205 151083569 3737991795 103325936435 3169890217728 | -| 64 | CentralSet:Rev | PosHalf | missing | 1 2 6 30 214 2030 24486 362622 6430198 133915022 3224320710 88610897694 2750125115926 | -| 65 | CentralSet:Rev | NegHalf | missing | 1 -2 2 10 -14 -390 -1566 26026 563282 2726490 -128928190 -4151857014 -39381610574 1795178726458 | -| 66 | CentralSet:Rev | DiagRow2 | B002450 | 1 5 21 85 341 1365 5461 21845 87381 349525 1398101 5592405 22369621 89478485 357913941 1431655765 | -| 67 | CentralSet:Rev | DiagRow3 | A002451 | 1 14 147 1408 13013 118482 1071799 9668036 87099705 784246870 7059619931 63542171784 571901915677 | -| 68 | CentralSet:Rev | DiagCol1 | A000330 | 0 1 5 14 30 55 91 140 204 285 385 506 650 819 1015 1240 1496 1785 2109 2470 2870 3311 3795 4324 | -| 69 | CentralSet:Rev | DiagCol2 | A060493 | 0 1 21 147 627 2002 5278 12138 25194 48279 86779 148005 241605 380016 578956 857956 1240932 1756797 | -| 70 | CentralSet:Rev | DiagCol3 | A351105 | 0 1 85 1408 11440 61490 251498 846260 2458676 6369275 15047175 32955780 67746900 131969604 | -| 71 | CentralSet:Rev | Poly | missing | 1 1 1 1 1 1 1 2 1 1 1 7 3 1 1 1 37 15 4 1 1 1 264 121 25 5 1 1 1 2433 1345 259 37 6 1 1 1 27913 | -| 72 | CentralSet:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 73 | CentralSet:Rev | PolyRow3 | A082111 | 1 7 15 25 37 51 67 85 105 127 151 177 205 235 267 301 337 375 415 457 501 547 595 645 697 751 807 | -| 74 | CentralSet:Rev | PolyCol2 | missing | 1 1 3 15 121 1345 19371 351663 7791217 205355905 6332211795 225296019663 9135078745321 | -| 75 | CentralSet:Rev | PolyCol3 | missing | 1 1 4 25 259 3790 71689 1713649 50362828 1767466081 72686534995 3457360455718 187903262545441 | -| 76 | CentralSet:Rev | PolyDiag | missing | 1 1 3 25 457 15076 776743 58326073 6150938593 877905446095 163344050592251 38485600838380158 | -| 77 | CentralSet:Inv | Triangle | A269944 | 1 0 1 0 -1 1 0 4 -5 1 0 -36 49 -14 1 0 576 -820 273 -30 1 0 -14400 21076 -7645 1023 -55 1 0 518400 | -| 78 | CentralSet:Inv | Rev | missing | 1 1 0 1 -1 0 1 -5 4 0 1 -14 49 -36 0 1 -30 273 -820 576 0 1 -55 1023 -7645 21076 -14400 0 1 -91 | -| 79 | CentralSet:Inv | RevInv | missing | 1 1 0 1 1 0 1 5 1 0 1 14 21 1 0 1 30 147 85 1 0 1 55 627 1408 341 1 0 1 91 2002 11440 13013 1365 1 | -| 80 | CentralSet:Inv | Acc | missing | 1 0 1 0 -1 0 0 4 -1 0 0 -36 13 -1 0 0 576 -244 29 -1 0 0 -14400 6676 -969 54 -1 0 0 518400 -254736 | -| 81 | CentralSet:Inv | AccRev | missing | 1 1 1 1 0 0 1 -4 0 0 1 -13 36 0 0 1 -29 244 -576 0 0 1 -54 969 -6676 14400 0 0 1 -90 2913 -41560 | -| 82 | CentralSet:Inv | AntiDiag | missing | 1 0 0 1 0 -1 0 4 1 0 -36 -5 0 576 49 1 0 -14400 -820 -14 0 518400 21076 273 1 0 -25401600 -773136 | -| 83 | CentralSet:Inv | Diffx1 | missing | 1 0 2 0 -2 3 0 8 -15 4 0 -72 147 -56 5 0 1152 -2460 1092 -150 6 0 -28800 63228 -30580 5115 -330 7 0 | -| 84 | CentralSet:Inv | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 85 | CentralSet:Inv | EvenSum | B051893 | 1 0 1 -5 50 -850 22100 -817700 40885000 -2657525000 217917050000 -22009622050000 2685173890100000 | -| 86 | CentralSet:Inv | OddSum | A051893 | 0 1 -1 5 -50 850 -22100 817700 -40885000 2657525000 -217917050000 22009622050000 -2685173890100000 | -| 87 | CentralSet:Inv | AltSum | A101686 | 1 -1 2 -10 100 -1700 44200 -1635400 81770000 -5315050000 435834100000 -44019244100000 | -| 88 | CentralSet:Inv | DiagSum | missing | 1 0 1 -1 5 -41 626 -15234 539750 -26182411 1664401784 -134180364264 13371968517277 | -| 89 | CentralSet:Inv | AccSum | B010791 | 1 1 -1 3 -24 360 -8640 302400 -14515200 914457600 -73156608000 7242504192000 -869100503040000 | -| 90 | CentralSet:Inv | AccRevSum | B010791 | 1 2 1 -3 24 -360 8640 -302400 14515200 -914457600 73156608000 -7242504192000 869100503040000 | -| 91 | CentralSet:Inv | RowLcm | missing | 1 1 1 20 1764 10745280 326939342400 352300447699200 27645512323747439317996800 | -| 92 | CentralSet:Inv | RowMax | B001819 | 1 1 1 5 49 820 21076 773136 38402064 2483133696 202759531776 20407635072000 2482492033152000 | -| 93 | CentralSet:Inv | ColMiddle | missing | 1 0 -1 4 49 -820 -7645 296296 2475473 -173721912 -1367593305 151847872396 1151541572401 | -| 94 | CentralSet:Inv | CentralE | missing | 1 -1 49 -7645 2475473 -1367593305 1151541572401 -1373222414339685 2202549127844351265 | -| 95 | CentralSet:Inv | CentralO | missing | 0 4 -820 296296 -173721912 151847872396 -185789298737900 303626807076050640 -639475825269193557040 | -| 96 | CentralSet:Inv | BinConv | missing | 1 1 -1 -2 95 -2739 91856 -3730824 178473359 -9415311509 461692419751 -3335691922342 | -| 97 | CentralSet:Inv | InvBinConv | missing | 1 1 3 28 495 13961 571116 31855272 2319026319 213260663683 24152812221571 3300994974112848 | -| 98 | CentralSet:Inv | TransNat0 | B010791 | 0 1 1 -3 24 -360 8640 -302400 14515200 -914457600 73156608000 -7242504192000 869100503040000 | -| 99 | CentralSet:Inv | TransNat1 | B010791 | 1 2 1 -3 24 -360 8640 -302400 14515200 -914457600 73156608000 -7242504192000 869100503040000 | -| 100 | CentralSet:Inv | TransSqrs | missing | 0 1 3 -7 50 -702 16128 -547200 25660800 -1587600000 125179084800 -12246416179200 1455084933120000 | -| 101 | CentralSet:Inv | PosHalf | missing | 1 1 -1 7 -119 3689 -180761 12834031 -1244901007 158102427889 -25454490890129 5065443687135671 | -| 102 | CentralSet:Inv | NegHalf | A277352 | 1 1 3 27 513 16929 863379 63026667 6239640033 804913564257 131200910973891 26371383105752091 | -| 103 | CentralSet:Inv | DiagRow1 | A000330 | 0 -1 -5 -14 -30 -55 -91 -140 -204 -285 -385 -506 -650 -819 -1015 -1240 -1496 -1785 -2109 -2470 | -| 104 | CentralSet:Inv | DiagRow2 | A000596 | 0 4 49 273 1023 3003 7462 16422 32946 61446 108031 180895 290745 451269 679644 997084 1429428 | -| 105 | CentralSet:Inv | DiagRow3 | A000597 | 0 -36 -820 -7645 -44473 -191620 -669188 -1999370 -5293970 -12728936 -28285400 -58856655 -115842675 | -| 106 | CentralSet:Inv | DiagCol1 | A001044 | 1 -1 4 -36 576 -14400 518400 -25401600 1625702400 -131681894400 13168189440000 -1593350922240000 | -| 107 | CentralSet:Inv | DiagCol2 | B001819 | 1 -5 49 -820 21076 -773136 38402064 -2483133696 202759531776 -20407635072000 2482492033152000 | -| 108 | CentralSet:Inv | DiagCol3 | A001820 | 1 -14 273 -7645 296296 -15291640 1017067024 -84865562640 8689315795776 -1071814846360896 | -| 109 | CentralSet:Inv | Poly | A060701 | 1 0 1 0 1 1 0 0 2 1 0 0 2 3 1 0 0 -4 6 4 1 0 0 28 -6 12 5 1 0 0 -392 36 0 20 6 1 0 0 9016 -468 0 20 | -| 110 | CentralSet:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 111 | CentralSet:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | -| 112 | CentralSet:Inv | PolyRow3 | missing | 0 0 -4 -6 0 20 60 126 224 360 540 770 1056 1404 1820 2310 2880 3536 4284 5130 6080 7140 8316 9614 | -| 113 | CentralSet:Inv | PolyCol2 | missing | 1 2 2 -4 28 -392 9016 -306544 14407568 -893269216 70568268064 -6915690270272 822967142162368 | -| 114 | CentralSet:Inv | PolyCol3 | missing | 1 3 6 -6 36 -468 10296 -339768 15629328 -953389008 74364342624 -7213341234528 851174265674304 | -| 115 | CentralSet:Inv | PolyDiag | missing | 1 1 2 -6 0 880 -34200 1183896 -34972672 0 188941053600 -33814757900000 5034578151702528 | -| 116 | CentralSet:Inv:Rev | Triangle | missing | 1 1 0 1 -1 0 1 -5 4 0 1 -14 49 -36 0 1 -30 273 -820 576 0 1 -55 1023 -7645 21076 -14400 0 1 -91 | -| 117 | CentralSet:Inv:Rev | Rev | A269944 | 1 0 1 0 -1 1 0 4 -5 1 0 -36 49 -14 1 0 576 -820 273 -30 1 0 -14400 21076 -7645 1023 -55 1 0 518400 | -| 118 | CentralSet:Inv:Rev | InvRev | A269945 | 1 0 1 0 1 1 0 1 5 1 0 1 21 14 1 0 1 85 147 30 1 0 1 341 1408 627 55 1 0 1 1365 13013 11440 2002 91 | -| 119 | CentralSet:Inv:Rev | Acc | missing | 1 1 1 1 0 0 1 -4 0 0 1 -13 36 0 0 1 -29 244 -576 0 0 1 -54 969 -6676 14400 0 0 1 -90 2913 -41560 | -| 120 | CentralSet:Inv:Rev | AccRev | missing | 1 0 1 0 -1 0 0 4 -1 0 0 -36 13 -1 0 0 576 -244 29 -1 0 0 -14400 6676 -969 54 -1 0 0 518400 -254736 | -| 121 | CentralSet:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -1 1 -5 0 1 -14 4 1 -30 49 0 1 -55 273 -36 1 -91 1023 -820 0 1 -140 3003 -7645 576 1 -204 | -| 122 | CentralSet:Inv:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 -10 12 0 1 -28 147 -144 0 1 -60 819 -3280 2880 0 1 -110 3069 -30580 105380 -86400 0 | -| 123 | CentralSet:Inv:Rev | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 124 | CentralSet:Inv:Rev | EvenSum | A051893 | 1 1 1 5 50 850 22100 817700 40885000 2657525000 217917050000 22009622050000 2685173890100000 | -| 125 | CentralSet:Inv:Rev | OddSum | B051893 | 0 0 -1 -5 -50 -850 -22100 -817700 -40885000 -2657525000 -217917050000 -22009622050000 | -| 126 | CentralSet:Inv:Rev | AltSum | A101686 | 1 1 2 10 100 1700 44200 1635400 81770000 5315050000 435834100000 44019244100000 5370347780200000 | -| 127 | CentralSet:Inv:Rev | DiagSum | missing | 1 1 1 0 -4 -9 20 183 113 -4205 -16138 106414 1065711 -1972516 -71563055 -119596359 5224931877 | -| 128 | CentralSet:Inv:Rev | AccSum | B010791 | 1 2 1 -3 24 -360 8640 -302400 14515200 -914457600 73156608000 -7242504192000 869100503040000 | -| 129 | CentralSet:Inv:Rev | AccRevSum | B010791 | 1 1 -1 3 -24 360 -8640 302400 -14515200 914457600 -73156608000 7242504192000 -869100503040000 | -| 130 | CentralSet:Inv:Rev | RowLcm | missing | 1 1 1 20 1764 10745280 326939342400 352300447699200 27645512323747439317996800 | -| 131 | CentralSet:Inv:Rev | RowMax | B001819 | 1 1 1 5 49 820 21076 773136 38402064 2483133696 202759531776 20407635072000 2482492033152000 | -| 132 | CentralSet:Inv:Rev | ColMiddle | missing | 1 1 -1 -5 49 273 -7645 -44473 2475473 14739153 -1367593305 -8261931405 1151541572401 7026231453265 | -| 133 | CentralSet:Inv:Rev | CentralE | missing | 1 -1 49 -7645 2475473 -1367593305 1151541572401 -1373222414339685 2202549127844351265 | -| 134 | CentralSet:Inv:Rev | CentralO | B234324 | 1 -5 273 -44473 14739153 -8261931405 7026231453265 -8439654758970225 13611213226804376865 | -| 135 | CentralSet:Inv:Rev | BinConv | missing | 1 1 -1 -2 95 -2739 91856 -3730824 178473359 -9415311509 461692419751 -3335691922342 | -| 136 | CentralSet:Inv:Rev | InvBinConv | missing | 1 -1 3 -28 495 -13961 571116 -31855272 2319026319 -213260663683 24152812221571 -3300994974112848 | -| 137 | CentralSet:Inv:Rev | TransNat0 | B010791 | 0 0 -1 3 -24 360 -8640 302400 -14515200 914457600 -73156608000 7242504192000 -869100503040000 | -| 138 | CentralSet:Inv:Rev | TransNat1 | B010791 | 1 1 -1 3 -24 360 -8640 302400 -14515200 914457600 -73156608000 7242504192000 -869100503040000 | -| 139 | CentralSet:Inv:Rev | TransSqrs | missing | 0 0 -1 11 -142 2898 -87552 3686400 -206582400 14872636800 -1337953075200 147088676044800 | -| 140 | CentralSet:Inv:Rev | PosHalf | missing | 1 2 2 -4 28 -392 9016 -306544 14407568 -893269216 70568268064 -6915690270272 822967142162368 | -| 141 | CentralSet:Inv:Rev | NegHalf | missing | 1 -2 6 -36 396 -7128 192456 -7313328 372979728 -24616662048 2043182949984 -208404660898368 | -| 142 | CentralSet:Inv:Rev | DiagRow1 | A001044 | 1 -1 4 -36 576 -14400 518400 -25401600 1625702400 -131681894400 13168189440000 -1593350922240000 | -| 143 | CentralSet:Inv:Rev | DiagRow2 | B001819 | 1 -5 49 -820 21076 -773136 38402064 -2483133696 202759531776 -20407635072000 2482492033152000 | -| 144 | CentralSet:Inv:Rev | DiagRow3 | A001820 | 1 -14 273 -7645 296296 -15291640 1017067024 -84865562640 8689315795776 -1071814846360896 | -| 145 | CentralSet:Inv:Rev | DiagCol1 | A000330 | 0 -1 -5 -14 -30 -55 -91 -140 -204 -285 -385 -506 -650 -819 -1015 -1240 -1496 -1785 -2109 -2470 | -| 146 | CentralSet:Inv:Rev | DiagCol2 | A000596 | 0 4 49 273 1023 3003 7462 16422 32946 61446 108031 180895 290745 451269 679644 997084 1429428 | -| 147 | CentralSet:Inv:Rev | DiagCol3 | A000597 | 0 -36 -820 -7645 -44473 -191620 -669188 -1999370 -5293970 -12728936 -28285400 -58856655 -115842675 | -| 148 | CentralSet:Inv:Rev | Poly | A071024 | 1 1 1 1 1 1 1 0 1 1 1 0 -1 1 1 1 0 7 -2 1 1 1 0 -119 22 -3 1 1 1 0 3689 -572 45 -4 1 1 1 0 -180761 | -| 149 | CentralSet:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 150 | CentralSet:Inv:Rev | PolyRow3 | A033954 | 1 0 7 22 45 76 115 162 217 280 351 430 517 612 715 826 945 1072 1207 1350 1501 1660 1827 2002 2185 | -| 151 | CentralSet:Inv:Rev | PolyCol2 | missing | 1 1 -1 7 -119 3689 -180761 12834031 -1244901007 158102427889 -25454490890129 5065443687135671 | -| 152 | CentralSet:Inv:Rev | PolyCol3 | missing | 1 1 -2 22 -572 26884 -1989416 212867512 -31078656752 5936023439632 -1436517672390944 | -| 153 | CentralSet:Inv:Rev | PolyDiag | missing | 1 1 -1 22 -1575 264176 -86274725 48691443816 -43695180133087 58634755379200000 | \ No newline at end of file +| 40 | CentralSet:Alt | Triangle | A269945 | 1 0 -1 0 -1 1 0 -1 5 -1 0 -1 21 -14 1 0 -1 85 -147 30 -1 0 -1 341 -1408 627 -55 1 0 -1 1365 -13013 | +| 41 | CentralSet:Alt | Rev | missing | 1 -1 0 1 -1 0 -1 5 -1 0 1 -14 21 -1 0 -1 30 -147 85 -1 0 1 -55 627 -1408 341 -1 0 -1 91 -2002 11440 | +| 42 | CentralSet:Alt | Inv | missing | 1 0 1 0 1 1 0 -4 -5 1 0 -76 -91 14 1 0 1608 1910 -273 -30 1 0 130120 154726 -22385 -2277 55 1 0 | +| 43 | CentralSet:Alt | RevInv | missing | 1 1 0 1 1 0 1 -5 -4 0 1 14 -91 -76 0 1 -30 -273 1910 1608 0 1 55 -2277 -22385 154726 130120 0 1 -91 | +| 44 | CentralSet:Alt | Acc | missing | 1 0 -1 0 -1 0 0 -1 4 3 0 -1 20 6 7 0 -1 84 -63 -33 -34 0 -1 340 -1068 -441 -496 -495 0 -1 1364 | +| 45 | CentralSet:Alt | AccRev | missing | 1 -1 -1 1 0 0 -1 4 3 3 1 -13 8 7 7 -1 29 -118 -33 -34 -34 1 -54 573 -835 -494 -495 -495 -1 90 -1912 | +| 46 | CentralSet:Alt | AntiDiag | missing | 1 0 0 -1 0 -1 0 -1 1 0 -1 5 0 -1 21 -1 0 -1 85 -14 0 -1 341 -147 1 0 -1 1365 -1408 30 0 -1 5461 | +| 47 | CentralSet:Alt | Diffx1 | missing | 1 0 -2 0 -2 3 0 -2 15 -4 0 -2 63 -56 5 0 -2 255 -588 150 -6 0 -2 1023 -5632 3135 -330 7 0 -2 4095 | +| 48 | CentralSet:Alt | RowSum | missing | 1 -1 0 3 7 -34 -495 -2121 26680 711635 6954399 -59338554 -4156173071 -90315997633 -356302000656 | +| 49 | CentralSet:Alt | EvenSum | missing | 1 0 1 5 22 115 969 12896 206793 3528877 64056886 1297918107 30936365281 877631551680 28575272630753 | +| 50 | CentralSet:Alt | OddSum | missing | 0 -1 -1 -2 -15 -149 -1464 -15017 -180113 -2817242 -57102487 -1357256661 -35092538352 -967947549313 | +| 51 | CentralSet:Alt | AltSum | A135920 | 1 1 2 7 37 264 2433 27913 386906 6346119 121159373 2655174768 66028903633 1845579100993 | +| 52 | CentralSet:Alt | DiagSum | missing | 1 0 -1 -1 0 4 19 70 194 -14 -6927 -85253 -790367 -6124581 -34272552 35190287 5605670584 | +| 53 | CentralSet:Alt | AccSum | missing | 1 -1 -1 6 32 -47 -2161 -16947 77187 4507608 66640382 -65944527 -32451990035 -962484765205 | +| 54 | CentralSet:Alt | AccRevSum | missing | 1 -2 1 9 10 -191 -1799 -2142 189613 3320377 16812406 -705456675 -25734432959 -392255199290 | +| 55 | CentralSet:Alt | RowLcm | missing | 1 1 1 5 42 24990 12439680 3123120 943260039381660 56022696483932096138220 1035552670984325476824660 | +| 56 | CentralSet:Alt | RowGcd | B128059 | 1 1 1 5 7 1 11 13 1 17 19 1 23 1 1 29 31 1 1 37 1 41 43 1 47 1 1 53 1 1 59 61 | +| 57 | CentralSet:Alt | RowMax | missing | 1 1 1 5 21 147 1408 13013 196053 3255330 53157079 1217854704 31306548900 796513723005 | +| 58 | CentralSet:Alt | ColMiddle | missing | 1 0 -1 -1 21 85 -1408 -13013 196053 3255330 -46587905 -1217854704 16875270660 638816292660 | +| 59 | CentralSet:Alt | CentralE | A298851 | 1 -1 21 -1408 196053 -46587905 16875270660 -8657594647800 5974284925007685 -5336898188553325075 | +| 60 | CentralSet:Alt | CentralO | missing | 0 -1 85 -13013 3255330 -1217854704 638816292660 -448016038000965 405183736699184740 | +| 61 | CentralSet:Alt | BinConv | missing | 1 -1 -1 11 67 -476 -13975 -67803 3944843 123221396 431500536 -109045213608 -4788702631163 | +| 62 | CentralSet:Alt | InvBinConv | missing | 1 -1 3 -19 187 -2476 43017 -927207 24103963 -740949940 26435241416 -1079488367112 49893412457605 | +| 63 | CentralSet:Alt | TransNat0 | missing | 0 -1 1 6 3 -157 -1304 -21 162933 2608742 9858007 -646118121 -21578259888 -301939201657 | +| 64 | CentralSet:Alt | TransNat1 | missing | 1 -2 1 9 10 -191 -1799 -2142 189613 3320377 16812406 -705456675 -25734432959 -392255199290 | +| 65 | CentralSet:Alt | TransSqrs | missing | 0 -1 3 10 -27 -529 -2616 24559 738315 7666034 -52384155 -4215511625 -94472170704 -446617998289 | +| 66 | CentralSet:Alt | PosHalf | missing | 1 -1 -1 5 49 135 -3441 -80899 -776287 12602319 862026335 23143053237 125727658321 -25455749984041 | +| 67 | CentralSet:Alt | NegHalf | missing | 1 -1 3 -15 121 -1345 19371 -351663 7791217 -205355905 6332211795 -225296019663 9135078745321 | +| 68 | CentralSet:Alt | DiagRow1 | A000330 | 0 -1 5 -14 30 -55 91 -140 204 -285 385 -506 650 -819 1015 -1240 1496 -1785 2109 -2470 2870 -3311 | +| 69 | CentralSet:Alt | DiagRow2 | A060493 | 0 -1 21 -147 627 -2002 5278 -12138 25194 -48279 86779 -148005 241605 -380016 578956 -857956 1240932 | +| 70 | CentralSet:Alt | DiagRow3 | A351105 | 0 -1 85 -1408 11440 -61490 251498 -846260 2458676 -6369275 15047175 -32955780 67746900 -131969604 | +| 71 | CentralSet:Alt | DiagCol2 | B002450 | 1 5 21 85 341 1365 5461 21845 87381 349525 1398101 5592405 22369621 89478485 357913941 1431655765 | +| 72 | CentralSet:Alt | DiagCol3 | A002451 | -1 -14 -147 -1408 -13013 -118482 -1071799 -9668036 -87099705 -784246870 -7059619931 -63542171784 | +| 73 | CentralSet:Alt | Poly | missing | 1 0 1 0 -1 1 0 0 -2 1 0 3 2 -3 1 0 7 10 6 -4 1 0 -34 -14 15 12 -5 1 0 -495 -390 -111 12 20 -6 1 0 | +| 74 | CentralSet:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | CentralSet:Alt | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 76 | CentralSet:Alt | PolyRow3 | missing | 0 3 10 15 12 -5 -42 -105 -200 -333 -510 -737 -1020 -1365 -1778 -2265 -2832 -3485 -4230 -5073 -6020 | +| 77 | CentralSet:Alt | PolyCol2 | missing | 1 -2 2 10 -14 -390 -1566 26026 563282 2726490 -128928190 -4151857014 -39381610574 1795178726458 | +| 78 | CentralSet:Alt | PolyCol3 | missing | 1 -3 6 15 -111 -1020 3201 165237 1336398 -28137873 -1102520055 -10625661156 499303432401 | +| 79 | CentralSet:Alt | PolyDiag | missing | 1 -1 2 15 -308 -630 139710 -694239 -165412552 2223620739 432151992090 -8538608789964 | +| 80 | CentralSet:Rev | Triangle | missing | 1 1 0 1 1 0 1 5 1 0 1 14 21 1 0 1 30 147 85 1 0 1 55 627 1408 341 1 0 1 91 2002 11440 13013 1365 1 | +| 81 | CentralSet:Rev | InvRev | A269944 | 1 0 1 0 -1 1 0 4 -5 1 0 -36 49 -14 1 0 576 -820 273 -30 1 0 -14400 21076 -7645 1023 -55 1 0 518400 | +| 82 | CentralSet:Rev | Acc | missing | 1 1 1 1 2 2 1 6 7 7 1 15 36 37 37 1 31 178 263 264 264 1 56 683 2091 2432 2433 2433 1 92 2094 13534 | +| 83 | CentralSet:Rev | AccRev | missing | 1 0 1 0 1 2 0 1 6 7 0 1 22 36 37 0 1 86 233 263 264 0 1 342 1750 2377 2432 2433 0 1 1366 14379 | +| 84 | CentralSet:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 5 0 1 14 1 1 30 21 0 1 55 147 1 1 91 627 85 0 1 140 2002 1408 1 1 204 5278 11440 341 | +| 85 | CentralSet:Rev | Diffx1 | missing | 1 1 0 1 2 0 1 10 3 0 1 28 63 4 0 1 60 441 340 5 0 1 110 1881 5632 1705 6 0 1 182 6006 45760 65065 | +| 86 | CentralSet:Rev | RowSum | A135920 | 1 1 2 7 37 264 2433 27913 386906 6346119 121159373 2655174768 66028903633 1845579100993 | +| 87 | CentralSet:Rev | EvenSum | missing | 1 1 1 2 22 149 969 15017 206793 2817242 64056886 1357256661 30936365281 967947549313 28575272630753 | +| 88 | CentralSet:Rev | OddSum | missing | 0 0 1 5 15 115 1464 12896 180113 3528877 57102487 1297918107 35092538352 877631551680 | +| 89 | CentralSet:Rev | AltSum | missing | 1 1 0 -3 7 34 -495 2121 26680 -711635 6954399 59338554 -4156173071 90315997633 -356302000656 | +| 90 | CentralSet:Rev | DiagSum | missing | 1 1 1 2 6 16 52 204 804 3552 17264 86928 474496 2746832 16594128 106431776 713006176 4981753088 | +| 91 | CentralSet:Rev | AccSum | missing | 1 2 5 21 126 1001 10129 126006 1877593 32888637 666757418 15442626557 404271491249 11855277004330 | +| 92 | CentralSet:Rev | AccRevSum | missing | 1 1 3 14 96 847 9335 125211 1991467 36918672 787155058 19074645427 520133159613 15828409510565 | +| 93 | CentralSet:Rev | RowLcm | missing | 1 1 1 5 42 24990 12439680 3123120 943260039381660 56022696483932096138220 1035552670984325476824660 | +| 94 | CentralSet:Rev | RowGcd | B128059 | 1 1 1 5 7 1 11 13 1 17 19 1 23 1 1 29 31 1 1 37 1 41 43 1 47 1 1 53 1 1 59 61 | +| 95 | CentralSet:Rev | RowMax | missing | 1 1 1 5 21 147 1408 13013 196053 3255330 53157079 1217854704 31306548900 796513723005 | +| 96 | CentralSet:Rev | ColMiddle | missing | 1 1 1 5 21 147 1408 11440 196053 1733303 46587905 434928221 16875270660 163648537860 8657594647800 | +| 97 | CentralSet:Rev | CentralE | A298851 | 1 1 21 1408 196053 46587905 16875270660 8657594647800 5974284925007685 5336898188553325075 | +| 98 | CentralSet:Rev | CentralO | missing | 1 5 147 11440 1733303 434928221 163648537860 86347951359480 60885363603137535 55328004040455578575 | +| 99 | CentralSet:Rev | BinConv | missing | 1 1 3 19 187 2476 43017 927207 24103963 740949940 26435241416 1079488367112 49893412457605 | +| 100 | CentralSet:Rev | InvBinConv | missing | 1 -1 -1 11 67 -476 -13975 -67803 3944843 123221396 431500536 -109045213608 -4788702631163 | +| 101 | CentralSet:Rev | TransNat0 | missing | 0 0 1 7 59 583 6902 97298 1604561 30572553 665995685 16419470659 454104255980 13982830409572 | +| 102 | CentralSet:Rev | TransNat1 | missing | 1 1 3 14 96 847 9335 125211 1991467 36918672 787155058 19074645427 520133159613 15828409510565 | +| 103 | CentralSet:Rev | TransSqrs | missing | 0 0 1 9 107 1399 20716 353428 6870205 151083569 3737991795 103325936435 3169890217728 | +| 104 | CentralSet:Rev | PosHalf | missing | 1 2 6 30 214 2030 24486 362622 6430198 133915022 3224320710 88610897694 2750125115926 | +| 105 | CentralSet:Rev | NegHalf | missing | 1 -2 2 10 -14 -390 -1566 26026 563282 2726490 -128928190 -4151857014 -39381610574 1795178726458 | +| 106 | CentralSet:Rev | DiagRow2 | B002450 | 1 5 21 85 341 1365 5461 21845 87381 349525 1398101 5592405 22369621 89478485 357913941 1431655765 | +| 107 | CentralSet:Rev | DiagRow3 | A002451 | 1 14 147 1408 13013 118482 1071799 9668036 87099705 784246870 7059619931 63542171784 571901915677 | +| 108 | CentralSet:Rev | DiagCol1 | A000330 | 0 1 5 14 30 55 91 140 204 285 385 506 650 819 1015 1240 1496 1785 2109 2470 2870 3311 3795 4324 | +| 109 | CentralSet:Rev | DiagCol2 | A060493 | 0 1 21 147 627 2002 5278 12138 25194 48279 86779 148005 241605 380016 578956 857956 1240932 1756797 | +| 110 | CentralSet:Rev | DiagCol3 | A351105 | 0 1 85 1408 11440 61490 251498 846260 2458676 6369275 15047175 32955780 67746900 131969604 | +| 111 | CentralSet:Rev | Poly | missing | 1 1 1 1 1 1 1 2 1 1 1 7 3 1 1 1 37 15 4 1 1 1 264 121 25 5 1 1 1 2433 1345 259 37 6 1 1 1 27913 | +| 112 | CentralSet:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 113 | CentralSet:Rev | PolyRow3 | A082111 | 1 7 15 25 37 51 67 85 105 127 151 177 205 235 267 301 337 375 415 457 501 547 595 645 697 751 807 | +| 114 | CentralSet:Rev | PolyCol2 | missing | 1 1 3 15 121 1345 19371 351663 7791217 205355905 6332211795 225296019663 9135078745321 | +| 115 | CentralSet:Rev | PolyCol3 | missing | 1 1 4 25 259 3790 71689 1713649 50362828 1767466081 72686534995 3457360455718 187903262545441 | +| 116 | CentralSet:Rev | PolyDiag | missing | 1 1 3 25 457 15076 776743 58326073 6150938593 877905446095 163344050592251 38485600838380158 | +| 117 | CentralSet:Inv | Triangle | A269944 | 1 0 1 0 -1 1 0 4 -5 1 0 -36 49 -14 1 0 576 -820 273 -30 1 0 -14400 21076 -7645 1023 -55 1 0 518400 | +| 118 | CentralSet:Inv | Rev | missing | 1 1 0 1 -1 0 1 -5 4 0 1 -14 49 -36 0 1 -30 273 -820 576 0 1 -55 1023 -7645 21076 -14400 0 1 -91 | +| 119 | CentralSet:Inv | RevInv | missing | 1 1 0 1 1 0 1 5 1 0 1 14 21 1 0 1 30 147 85 1 0 1 55 627 1408 341 1 0 1 91 2002 11440 13013 1365 1 | +| 120 | CentralSet:Inv | Acc | missing | 1 0 1 0 -1 0 0 4 -1 0 0 -36 13 -1 0 0 576 -244 29 -1 0 0 -14400 6676 -969 54 -1 0 0 518400 -254736 | +| 121 | CentralSet:Inv | AccRev | missing | 1 1 1 1 0 0 1 -4 0 0 1 -13 36 0 0 1 -29 244 -576 0 0 1 -54 969 -6676 14400 0 0 1 -90 2913 -41560 | +| 122 | CentralSet:Inv | AntiDiag | missing | 1 0 0 1 0 -1 0 4 1 0 -36 -5 0 576 49 1 0 -14400 -820 -14 0 518400 21076 273 1 0 -25401600 -773136 | +| 123 | CentralSet:Inv | Diffx1 | missing | 1 0 2 0 -2 3 0 8 -15 4 0 -72 147 -56 5 0 1152 -2460 1092 -150 6 0 -28800 63228 -30580 5115 -330 7 0 | +| 124 | CentralSet:Inv | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 125 | CentralSet:Inv | EvenSum | B051893 | 1 0 1 -5 50 -850 22100 -817700 40885000 -2657525000 217917050000 -22009622050000 2685173890100000 | +| 126 | CentralSet:Inv | OddSum | A051893 | 0 1 -1 5 -50 850 -22100 817700 -40885000 2657525000 -217917050000 22009622050000 -2685173890100000 | +| 127 | CentralSet:Inv | AltSum | A101686 | 1 -1 2 -10 100 -1700 44200 -1635400 81770000 -5315050000 435834100000 -44019244100000 | +| 128 | CentralSet:Inv | DiagSum | missing | 1 0 1 -1 5 -41 626 -15234 539750 -26182411 1664401784 -134180364264 13371968517277 | +| 129 | CentralSet:Inv | AccSum | B010791 | 1 1 -1 3 -24 360 -8640 302400 -14515200 914457600 -73156608000 7242504192000 -869100503040000 | +| 130 | CentralSet:Inv | AccRevSum | B010791 | 1 2 1 -3 24 -360 8640 -302400 14515200 -914457600 73156608000 -7242504192000 869100503040000 | +| 131 | CentralSet:Inv | RowLcm | missing | 1 1 1 20 1764 10745280 326939342400 352300447699200 27645512323747439317996800 | +| 132 | CentralSet:Inv | RowMax | B001819 | 1 1 1 5 49 820 21076 773136 38402064 2483133696 202759531776 20407635072000 2482492033152000 | +| 133 | CentralSet:Inv | ColMiddle | missing | 1 0 -1 4 49 -820 -7645 296296 2475473 -173721912 -1367593305 151847872396 1151541572401 | +| 134 | CentralSet:Inv | CentralE | missing | 1 -1 49 -7645 2475473 -1367593305 1151541572401 -1373222414339685 2202549127844351265 | +| 135 | CentralSet:Inv | CentralO | missing | 0 4 -820 296296 -173721912 151847872396 -185789298737900 303626807076050640 -639475825269193557040 | +| 136 | CentralSet:Inv | BinConv | missing | 1 1 -1 -2 95 -2739 91856 -3730824 178473359 -9415311509 461692419751 -3335691922342 | +| 137 | CentralSet:Inv | InvBinConv | missing | 1 1 3 28 495 13961 571116 31855272 2319026319 213260663683 24152812221571 3300994974112848 | +| 138 | CentralSet:Inv | TransNat0 | B010791 | 0 1 1 -3 24 -360 8640 -302400 14515200 -914457600 73156608000 -7242504192000 869100503040000 | +| 139 | CentralSet:Inv | TransNat1 | B010791 | 1 2 1 -3 24 -360 8640 -302400 14515200 -914457600 73156608000 -7242504192000 869100503040000 | +| 140 | CentralSet:Inv | TransSqrs | missing | 0 1 3 -7 50 -702 16128 -547200 25660800 -1587600000 125179084800 -12246416179200 1455084933120000 | +| 141 | CentralSet:Inv | PosHalf | missing | 1 1 -1 7 -119 3689 -180761 12834031 -1244901007 158102427889 -25454490890129 5065443687135671 | +| 142 | CentralSet:Inv | NegHalf | A277352 | 1 1 3 27 513 16929 863379 63026667 6239640033 804913564257 131200910973891 26371383105752091 | +| 143 | CentralSet:Inv | DiagRow1 | A000330 | 0 -1 -5 -14 -30 -55 -91 -140 -204 -285 -385 -506 -650 -819 -1015 -1240 -1496 -1785 -2109 -2470 | +| 144 | CentralSet:Inv | DiagRow2 | A000596 | 0 4 49 273 1023 3003 7462 16422 32946 61446 108031 180895 290745 451269 679644 997084 1429428 | +| 145 | CentralSet:Inv | DiagRow3 | A000597 | 0 -36 -820 -7645 -44473 -191620 -669188 -1999370 -5293970 -12728936 -28285400 -58856655 -115842675 | +| 146 | CentralSet:Inv | DiagCol1 | A001044 | 1 -1 4 -36 576 -14400 518400 -25401600 1625702400 -131681894400 13168189440000 -1593350922240000 | +| 147 | CentralSet:Inv | DiagCol2 | B001819 | 1 -5 49 -820 21076 -773136 38402064 -2483133696 202759531776 -20407635072000 2482492033152000 | +| 148 | CentralSet:Inv | DiagCol3 | A001820 | 1 -14 273 -7645 296296 -15291640 1017067024 -84865562640 8689315795776 -1071814846360896 | +| 149 | CentralSet:Inv | Poly | A060701 | 1 0 1 0 1 1 0 0 2 1 0 0 2 3 1 0 0 -4 6 4 1 0 0 28 -6 12 5 1 0 0 -392 36 0 20 6 1 0 0 9016 -468 0 20 | +| 150 | CentralSet:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 151 | CentralSet:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 152 | CentralSet:Inv | PolyRow3 | missing | 0 0 -4 -6 0 20 60 126 224 360 540 770 1056 1404 1820 2310 2880 3536 4284 5130 6080 7140 8316 9614 | +| 153 | CentralSet:Inv | PolyCol2 | missing | 1 2 2 -4 28 -392 9016 -306544 14407568 -893269216 70568268064 -6915690270272 822967142162368 | +| 154 | CentralSet:Inv | PolyCol3 | missing | 1 3 6 -6 36 -468 10296 -339768 15629328 -953389008 74364342624 -7213341234528 851174265674304 | +| 155 | CentralSet:Inv | PolyDiag | missing | 1 1 2 -6 0 880 -34200 1183896 -34972672 0 188941053600 -33814757900000 5034578151702528 | +| 156 | CentralSet:Inv:Rev | Triangle | missing | 1 1 0 1 -1 0 1 -5 4 0 1 -14 49 -36 0 1 -30 273 -820 576 0 1 -55 1023 -7645 21076 -14400 0 1 -91 | +| 157 | CentralSet:Inv:Rev | Rev | A269944 | 1 0 1 0 -1 1 0 4 -5 1 0 -36 49 -14 1 0 576 -820 273 -30 1 0 -14400 21076 -7645 1023 -55 1 0 518400 | +| 158 | CentralSet:Inv:Rev | InvRev | A269945 | 1 0 1 0 1 1 0 1 5 1 0 1 21 14 1 0 1 85 147 30 1 0 1 341 1408 627 55 1 0 1 1365 13013 11440 2002 91 | +| 159 | CentralSet:Inv:Rev | Acc | missing | 1 1 1 1 0 0 1 -4 0 0 1 -13 36 0 0 1 -29 244 -576 0 0 1 -54 969 -6676 14400 0 0 1 -90 2913 -41560 | +| 160 | CentralSet:Inv:Rev | AccRev | missing | 1 0 1 0 -1 0 0 4 -1 0 0 -36 13 -1 0 0 576 -244 29 -1 0 0 -14400 6676 -969 54 -1 0 0 518400 -254736 | +| 161 | CentralSet:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -1 1 -5 0 1 -14 4 1 -30 49 0 1 -55 273 -36 1 -91 1023 -820 0 1 -140 3003 -7645 576 1 -204 | +| 162 | CentralSet:Inv:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 -10 12 0 1 -28 147 -144 0 1 -60 819 -3280 2880 0 1 -110 3069 -30580 105380 -86400 0 | +| 163 | CentralSet:Inv:Rev | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 164 | CentralSet:Inv:Rev | EvenSum | A051893 | 1 1 1 5 50 850 22100 817700 40885000 2657525000 217917050000 22009622050000 2685173890100000 | +| 165 | CentralSet:Inv:Rev | OddSum | B051893 | 0 0 -1 -5 -50 -850 -22100 -817700 -40885000 -2657525000 -217917050000 -22009622050000 | +| 166 | CentralSet:Inv:Rev | AltSum | A101686 | 1 1 2 10 100 1700 44200 1635400 81770000 5315050000 435834100000 44019244100000 5370347780200000 | +| 167 | CentralSet:Inv:Rev | DiagSum | missing | 1 1 1 0 -4 -9 20 183 113 -4205 -16138 106414 1065711 -1972516 -71563055 -119596359 5224931877 | +| 168 | CentralSet:Inv:Rev | AccSum | B010791 | 1 2 1 -3 24 -360 8640 -302400 14515200 -914457600 73156608000 -7242504192000 869100503040000 | +| 169 | CentralSet:Inv:Rev | AccRevSum | B010791 | 1 1 -1 3 -24 360 -8640 302400 -14515200 914457600 -73156608000 7242504192000 -869100503040000 | +| 170 | CentralSet:Inv:Rev | RowLcm | missing | 1 1 1 20 1764 10745280 326939342400 352300447699200 27645512323747439317996800 | +| 171 | CentralSet:Inv:Rev | RowMax | B001819 | 1 1 1 5 49 820 21076 773136 38402064 2483133696 202759531776 20407635072000 2482492033152000 | +| 172 | CentralSet:Inv:Rev | ColMiddle | missing | 1 1 -1 -5 49 273 -7645 -44473 2475473 14739153 -1367593305 -8261931405 1151541572401 7026231453265 | +| 173 | CentralSet:Inv:Rev | CentralE | missing | 1 -1 49 -7645 2475473 -1367593305 1151541572401 -1373222414339685 2202549127844351265 | +| 174 | CentralSet:Inv:Rev | CentralO | B234324 | 1 -5 273 -44473 14739153 -8261931405 7026231453265 -8439654758970225 13611213226804376865 | +| 175 | CentralSet:Inv:Rev | BinConv | missing | 1 1 -1 -2 95 -2739 91856 -3730824 178473359 -9415311509 461692419751 -3335691922342 | +| 176 | CentralSet:Inv:Rev | InvBinConv | missing | 1 -1 3 -28 495 -13961 571116 -31855272 2319026319 -213260663683 24152812221571 -3300994974112848 | +| 177 | CentralSet:Inv:Rev | TransNat0 | B010791 | 0 0 -1 3 -24 360 -8640 302400 -14515200 914457600 -73156608000 7242504192000 -869100503040000 | +| 178 | CentralSet:Inv:Rev | TransNat1 | B010791 | 1 1 -1 3 -24 360 -8640 302400 -14515200 914457600 -73156608000 7242504192000 -869100503040000 | +| 179 | CentralSet:Inv:Rev | TransSqrs | missing | 0 0 -1 11 -142 2898 -87552 3686400 -206582400 14872636800 -1337953075200 147088676044800 | +| 180 | CentralSet:Inv:Rev | PosHalf | missing | 1 2 2 -4 28 -392 9016 -306544 14407568 -893269216 70568268064 -6915690270272 822967142162368 | +| 181 | CentralSet:Inv:Rev | NegHalf | missing | 1 -2 6 -36 396 -7128 192456 -7313328 372979728 -24616662048 2043182949984 -208404660898368 | +| 182 | CentralSet:Inv:Rev | DiagRow1 | A001044 | 1 -1 4 -36 576 -14400 518400 -25401600 1625702400 -131681894400 13168189440000 -1593350922240000 | +| 183 | CentralSet:Inv:Rev | DiagRow2 | B001819 | 1 -5 49 -820 21076 -773136 38402064 -2483133696 202759531776 -20407635072000 2482492033152000 | +| 184 | CentralSet:Inv:Rev | DiagRow3 | A001820 | 1 -14 273 -7645 296296 -15291640 1017067024 -84865562640 8689315795776 -1071814846360896 | +| 185 | CentralSet:Inv:Rev | DiagCol1 | A000330 | 0 -1 -5 -14 -30 -55 -91 -140 -204 -285 -385 -506 -650 -819 -1015 -1240 -1496 -1785 -2109 -2470 | +| 186 | CentralSet:Inv:Rev | DiagCol2 | A000596 | 0 4 49 273 1023 3003 7462 16422 32946 61446 108031 180895 290745 451269 679644 997084 1429428 | +| 187 | CentralSet:Inv:Rev | DiagCol3 | A000597 | 0 -36 -820 -7645 -44473 -191620 -669188 -1999370 -5293970 -12728936 -28285400 -58856655 -115842675 | +| 188 | CentralSet:Inv:Rev | Poly | A071024 | 1 1 1 1 1 1 1 0 1 1 1 0 -1 1 1 1 0 7 -2 1 1 1 0 -119 22 -3 1 1 1 0 3689 -572 45 -4 1 1 1 0 -180761 | +| 189 | CentralSet:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 190 | CentralSet:Inv:Rev | PolyRow3 | A033954 | 1 0 7 22 45 76 115 162 217 280 351 430 517 612 715 826 945 1072 1207 1350 1501 1660 1827 2002 2185 | +| 191 | CentralSet:Inv:Rev | PolyCol2 | missing | 1 1 -1 7 -119 3689 -180761 12834031 -1244901007 158102427889 -25454490890129 5065443687135671 | +| 192 | CentralSet:Inv:Rev | PolyCol3 | missing | 1 1 -2 22 -572 26884 -1989416 212867512 -31078656752 5936023439632 -1436517672390944 | +| 193 | CentralSet:Inv:Rev | PolyDiag | missing | 1 1 -1 22 -1575 264176 -86274725 48691443816 -43695180133087 58634755379200000 | \ No newline at end of file diff --git a/data/md/ChebyshevS.md b/data/md/ChebyshevS.md index 69fac94..8686e51 100644 --- a/data/md/ChebyshevS.md +++ b/data/md/ChebyshevS.md @@ -39,115 +39,155 @@ | 36 | ChebyshevS:Std | PolyCol2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | | 37 | ChebyshevS:Std | PolyCol3 | B001906 | 1 3 8 21 55 144 377 987 2584 6765 17711 46368 121393 317811 832040 2178309 5702887 14930352 | | 38 | ChebyshevS:Std | PolyDiag | A097690 | 1 1 3 21 209 2640 40391 726103 15003009 350382231 9127651499 262424759520 8254109243953 | -| 39 | ChebyshevS:Rev | Triangle | A053119 | 1 1 0 1 0 -1 1 0 -2 0 1 0 -3 0 1 1 0 -4 0 3 0 1 0 -5 0 6 0 -1 1 0 -6 0 10 0 -4 0 1 0 -7 0 15 0 -10 | -| 40 | ChebyshevS:Rev | InvRev | A053121 | 1 0 1 1 0 1 0 2 0 1 2 0 3 0 1 0 5 0 4 0 1 5 0 9 0 5 0 1 0 14 0 14 0 6 0 1 14 0 28 0 20 0 7 0 1 0 42 | -| 41 | ChebyshevS:Rev | Acc | missing | 1 1 1 1 1 0 1 1 -1 -1 1 1 -2 -2 -1 1 1 -3 -3 0 0 1 1 -4 -4 2 2 1 1 1 -5 -5 5 5 1 1 1 1 -6 -6 9 9 -1 | -| 42 | ChebyshevS:Rev | AccRev | missing | 1 0 1 -1 -1 0 0 -2 -2 -1 1 1 -2 -2 -1 0 3 3 -1 -1 0 -1 -1 5 5 0 0 1 0 -4 -4 6 6 0 0 1 1 1 -9 -9 6 6 | -| 43 | ChebyshevS:Rev | AntiDiag | missing | 1 1 1 0 1 0 1 0 -1 1 0 -2 1 0 -3 0 1 0 -4 0 1 0 -5 0 1 1 0 -6 0 3 1 0 -7 0 6 0 1 0 -8 0 10 0 1 0 -9 | -| 44 | ChebyshevS:Rev | Diffx1 | missing | 1 1 0 1 0 -3 1 0 -6 0 1 0 -9 0 5 1 0 -12 0 15 0 1 0 -15 0 30 0 -7 1 0 -18 0 50 0 -28 0 1 0 -21 0 75 | -| 45 | ChebyshevS:Rev | RowSum | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | -| 46 | ChebyshevS:Rev | EvenSum | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | -| 47 | ChebyshevS:Rev | AltSum | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | -| 48 | ChebyshevS:Rev | DiagSum | A099530 | 1 1 1 1 0 -1 -2 -3 -3 -2 0 3 6 8 8 5 -1 -9 -17 -22 -21 -12 5 27 48 60 55 28 -20 -80 -135 -163 | -| 49 | ChebyshevS:Rev | AccSum | missing | 1 2 2 0 -3 -4 -1 4 6 2 -5 -8 -3 6 10 4 -7 -12 -5 8 14 6 -9 -16 -7 10 18 8 -11 -20 -9 12 | -| 50 | ChebyshevS:Rev | AccRevSum | missing | 1 1 -2 -5 -3 4 9 5 -6 -13 -7 8 17 9 -10 -21 -11 12 25 13 -14 -29 -15 16 33 17 -18 -37 -19 20 41 21 | -| 51 | ChebyshevS:Rev | RowLcm | A073618 | 1 1 1 2 3 12 30 60 210 840 1260 2520 13860 27720 180180 360360 180180 720720 6126120 12252240 | -| 52 | ChebyshevS:Rev | RowGcd | missing | 1 1 1 2 3 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 | -| 53 | ChebyshevS:Rev | RowMax | A073028 | 1 1 1 2 3 4 6 10 15 21 35 56 84 126 210 330 495 792 1287 2002 3003 5005 8008 12376 19448 31824 | -| 54 | ChebyshevS:Rev | ColMiddle | missing | 1 1 0 0 -3 -4 0 0 15 21 0 0 -84 -120 0 0 495 715 0 0 -3003 -4368 0 0 18564 27132 0 0 -116280 | -| 55 | ChebyshevS:Rev | CentralE | missing | 1 0 -3 0 15 0 -84 0 495 0 -3003 0 18564 0 -116280 0 | -| 56 | ChebyshevS:Rev | CentralO | missing | 1 0 -4 0 21 0 -120 0 715 0 -4368 0 27132 0 -170544 0 | -| 57 | ChebyshevS:Rev | ColRight | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | -| 58 | ChebyshevS:Rev | BinConv | A278415 | 1 1 0 -5 -16 -24 15 197 576 724 -1200 -8832 -22801 -21293 76440 408795 922368 499104 -4446588 | -| 59 | ChebyshevS:Rev | InvBinConv | A278415 | 1 -1 0 5 -16 24 15 -197 576 -724 -1200 8832 -22801 21293 76440 -408795 922368 -499104 -4446588 | -| 60 | ChebyshevS:Rev | TransNat0 | missing | 0 0 -2 -4 -2 4 8 4 -6 -12 -6 8 16 8 -10 -20 -10 12 24 12 -14 -28 -14 16 32 16 -18 -36 -18 20 40 20 | -| 61 | ChebyshevS:Rev | TransNat1 | missing | 1 1 -2 -5 -3 4 9 5 -6 -13 -7 8 17 9 -10 -21 -11 12 25 13 -14 -29 -15 16 33 17 -18 -37 -19 20 41 21 | -| 62 | ChebyshevS:Rev | TransSqrs | missing | 0 0 -4 -8 4 32 40 -8 -84 -96 12 160 176 -16 -260 -280 20 384 408 -24 -532 -560 28 704 736 -32 -900 | -| 63 | ChebyshevS:Rev | PosHalf | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 64 | ChebyshevS:Rev | NegHalf | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | -| 65 | ChebyshevS:Rev | DiagRow1 | A027656 | 1 0 -2 0 3 0 -4 0 5 0 -6 0 7 0 -8 0 9 0 -10 0 11 0 -12 0 13 0 -14 0 15 0 -16 0 | -| 66 | ChebyshevS:Rev | DiagRow2 | missing | 1 0 -3 0 6 0 -10 0 15 0 -21 0 28 0 -36 0 45 0 -55 0 66 0 -78 0 91 0 -105 0 120 0 -136 0 | -| 67 | ChebyshevS:Rev | DiagRow3 | missing | 1 0 -4 0 10 0 -20 0 35 0 -56 0 84 0 -120 0 165 0 -220 0 286 0 -364 0 455 0 -560 0 680 0 -816 0 | -| 68 | ChebyshevS:Rev | DiagCol2 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | -| 69 | ChebyshevS:Rev | Poly | missing | 1 1 1 1 1 1 1 0 1 1 1 -1 -3 1 1 1 -1 -7 -8 1 1 1 0 5 -17 -15 1 1 1 1 33 55 -31 -24 1 1 1 1 13 208 | -| 70 | ChebyshevS:Rev | PolyRow2 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | -| 71 | ChebyshevS:Rev | PolyRow3 | A056220 | 1 -1 -7 -17 -31 -49 -71 -97 -127 -161 -199 -241 -287 -337 -391 -449 -511 -577 -647 -721 -799 -881 | -| 72 | ChebyshevS:Rev | PolyCol2 | A106853 | 1 1 -3 -7 5 33 13 -119 -171 305 989 -231 -4187 -3263 13485 26537 -27403 -133551 -23939 510265 | -| 73 | ChebyshevS:Rev | PolyCol3 | A146078 | 1 1 -8 -17 55 208 -287 -2159 424 19855 16039 -162656 -307007 1156897 3919960 -6492113 -41771753 | -| 74 | ChebyshevS:Rev | PolyDiag | missing | 1 1 -3 -17 209 1776 -39059 -446879 14216769 204741919 -8534720899 -148220668320 7645684627153 | -| 75 | ChebyshevS:Inv | Triangle | A053121 | 1 0 1 1 0 1 0 2 0 1 2 0 3 0 1 0 5 0 4 0 1 5 0 9 0 5 0 1 0 14 0 14 0 6 0 1 14 0 28 0 20 0 7 0 1 0 42 | -| 76 | ChebyshevS:Inv | Rev | A052173 | 1 1 0 1 0 1 1 0 2 0 1 0 3 0 2 1 0 4 0 5 0 1 0 5 0 9 0 5 1 0 6 0 14 0 14 0 1 0 7 0 20 0 28 0 14 1 0 | -| 77 | ChebyshevS:Inv | RevInv | A053119 | 1 1 0 1 0 -1 1 0 -2 0 1 0 -3 0 1 1 0 -4 0 3 0 1 0 -5 0 6 0 -1 1 0 -6 0 10 0 -4 0 1 0 -7 0 15 0 -10 | -| 78 | ChebyshevS:Inv | Acc | missing | 1 0 1 1 1 2 0 2 2 3 2 2 5 5 6 0 5 5 9 9 10 5 5 14 14 19 19 20 0 14 14 28 28 34 34 35 14 14 42 42 62 | -| 79 | ChebyshevS:Inv | AccRev | A107430 | 1 1 1 1 1 2 1 1 3 3 1 1 4 4 6 1 1 5 5 10 10 1 1 6 6 15 15 20 1 1 7 7 21 21 35 35 1 1 8 8 28 28 56 | -| 80 | ChebyshevS:Inv | AntiDiag | missing | 1 0 1 1 0 0 2 2 1 0 0 0 5 5 3 1 0 0 0 0 14 14 9 4 1 0 0 0 0 0 42 42 28 14 5 1 0 0 0 0 0 0 132 132 | -| 81 | ChebyshevS:Inv | Diffx1 | missing | 1 0 2 1 0 3 0 4 0 4 2 0 9 0 5 0 10 0 16 0 6 5 0 27 0 25 0 7 0 28 0 56 0 36 0 8 14 0 84 0 100 0 49 0 | -| 82 | ChebyshevS:Inv | RowSum | A001405 | 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 48620 92378 184756 352716 705432 | -| 83 | ChebyshevS:Inv | EvenSum | A126869 | 1 0 2 0 6 0 20 0 70 0 252 0 924 0 3432 0 12870 0 48620 0 184756 0 705432 0 2704156 0 10400600 0 | -| 84 | ChebyshevS:Inv | OddSum | A138364 | 0 1 0 3 0 10 0 35 0 126 0 462 0 1716 0 6435 0 24310 0 92378 0 352716 0 1352078 0 5200300 0 20058300 | -| 85 | ChebyshevS:Inv | AltSum | A001405 | 1 -1 2 -3 6 -10 20 -35 70 -126 252 -462 924 -1716 3432 -6435 12870 -24310 48620 -92378 184756 | -| 86 | ChebyshevS:Inv | DiagSum | B126120 | 1 0 2 0 5 0 14 0 42 0 132 0 429 0 1430 0 4862 0 16796 0 58786 0 208012 0 742900 0 2674440 0 9694845 | -| 87 | ChebyshevS:Inv | AccSum | A296663 | 1 1 4 7 20 38 96 187 444 874 2000 3958 8840 17548 38528 76627 166124 330818 710256 1415650 3016056 | -| 88 | ChebyshevS:Inv | AccRevSum | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 89 | ChebyshevS:Inv | RowLcm | missing | 1 1 1 2 6 20 45 42 140 3024 3150 660 207900 34320 21021 450450 2522520 13613600 192972780 4232592 | -| 90 | ChebyshevS:Inv | RowGcd | A031230 | 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 | -| 91 | ChebyshevS:Inv | RowMax | A101461 | 1 1 1 2 3 5 9 14 28 48 90 165 297 572 1001 2002 3640 7072 13260 25194 48450 90440 177650 326876 | -| 92 | ChebyshevS:Inv | ColMiddle | missing | 1 0 0 2 3 0 0 14 20 0 0 110 154 0 0 910 1260 0 0 7752 10659 0 0 67298 92092 0 0 592020 807300 0 0 | -| 93 | ChebyshevS:Inv | CentralE | missing | 1 0 3 0 20 0 154 0 1260 0 10659 0 92092 0 807300 0 | -| 94 | ChebyshevS:Inv | CentralO | missing | 0 2 0 14 0 110 0 910 0 7752 0 67298 0 592020 0 5259150 | -| 95 | ChebyshevS:Inv | ColLeft | A126120 | 1 0 1 0 2 0 5 0 14 0 42 0 132 0 429 0 1430 0 4862 0 16796 0 58786 0 208012 0 742900 0 2674440 0 | -| 96 | ChebyshevS:Inv | BinConv | A344500 | 1 1 2 7 21 66 216 715 2395 8101 27598 94568 325612 1125632 3904512 13583195 47373255 165585883 | -| 97 | ChebyshevS:Inv | InvBinConv | A344500 | 1 1 2 7 21 66 216 715 2395 8101 27598 94568 325612 1125632 3904512 13583195 47373255 165585883 | -| 98 | ChebyshevS:Inv | TransNat0 | A045621 | 0 1 2 5 10 22 44 93 186 386 772 1586 3172 6476 12952 26333 52666 106762 213524 431910 863820 | -| 99 | ChebyshevS:Inv | TransNat1 | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 100 | ChebyshevS:Inv | TransSqrs | missing | 0 1 4 11 28 66 152 339 748 1622 3496 7454 15832 33380 70192 146819 306508 637326 1323272 2738922 | -| 101 | ChebyshevS:Inv | PosHalf | A121724 | 1 1 5 9 45 97 485 1145 5725 14289 71445 185193 925965 2467137 12335685 33563481 167817405 464221105 | -| 102 | ChebyshevS:Inv | NegHalf | A121724 | 1 1 5 9 45 97 485 1145 5725 14289 71445 185193 925965 2467137 12335685 33563481 167817405 464221105 | -| 103 | ChebyshevS:Inv | DiagRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 104 | ChebyshevS:Inv | DiagCol1 | B126120 | 1 0 2 0 5 0 14 0 42 0 132 0 429 0 1430 0 4862 0 16796 0 58786 0 208012 0 742900 0 2674440 0 9694845 | -| 105 | ChebyshevS:Inv | DiagCol2 | missing | 1 0 3 0 9 0 28 0 90 0 297 0 1001 0 3432 0 11934 0 41990 0 149226 0 534888 0 1931540 0 7020405 0 | -| 106 | ChebyshevS:Inv | DiagCol3 | missing | 1 0 4 0 14 0 48 0 165 0 572 0 2002 0 7072 0 25194 0 90440 0 326876 0 1188640 0 4345965 0 15967980 0 | -| 107 | ChebyshevS:Inv | Poly | A330608 | 1 0 1 1 1 1 0 2 2 1 2 3 5 3 1 0 6 12 10 4 1 5 10 30 33 17 5 1 0 20 74 110 72 26 6 1 14 35 185 366 | -| 108 | ChebyshevS:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 109 | ChebyshevS:Inv | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 110 | ChebyshevS:Inv | PolyRow3 | A054602 | 0 3 12 33 72 135 228 357 528 747 1020 1353 1752 2223 2772 3405 4128 4947 5868 6897 8040 9303 10692 | -| 111 | ChebyshevS:Inv | PolyCol2 | A054341 | 1 2 5 12 30 74 185 460 1150 2868 7170 17904 44760 111834 279585 698748 1746870 4366460 10916150 | -| 112 | ChebyshevS:Inv | PolyCol3 | A126931 | 1 3 10 33 110 366 1220 4065 13550 45162 150540 501786 1672620 5575356 18584520 61948257 206494190 | -| 113 | ChebyshevS:Inv | PolyDiag | missing | 1 1 5 33 306 3650 53465 929285 18695950 427313934 10935759042 309766519722 9620876053140 | -| 114 | ChebyshevS:Inv:Rev | Triangle | A052173 | 1 1 0 1 0 1 1 0 2 0 1 0 3 0 2 1 0 4 0 5 0 1 0 5 0 9 0 5 1 0 6 0 14 0 14 0 1 0 7 0 20 0 28 0 14 1 0 | -| 115 | ChebyshevS:Inv:Rev | Rev | A053121 | 1 0 1 1 0 1 0 2 0 1 2 0 3 0 1 0 5 0 4 0 1 5 0 9 0 5 0 1 0 14 0 14 0 6 0 1 14 0 28 0 20 0 7 0 1 0 42 | -| 116 | ChebyshevS:Inv:Rev | InvRev | A049310 | 1 0 1 -1 0 1 0 -2 0 1 1 0 -3 0 1 0 3 0 -4 0 1 -1 0 6 0 -5 0 1 0 -4 0 10 0 -6 0 1 1 0 -10 0 15 0 -7 | -| 117 | ChebyshevS:Inv:Rev | Acc | A107430 | 1 1 1 1 1 2 1 1 3 3 1 1 4 4 6 1 1 5 5 10 10 1 1 6 6 15 15 20 1 1 7 7 21 21 35 35 1 1 8 8 28 28 56 | -| 118 | ChebyshevS:Inv:Rev | AccRev | missing | 1 0 1 1 1 2 0 2 2 3 2 2 5 5 6 0 5 5 9 9 10 5 5 14 14 19 19 20 0 14 14 28 28 34 34 35 14 14 42 42 62 | -| 119 | ChebyshevS:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 0 1 0 1 1 0 2 1 0 3 0 1 0 4 0 1 0 5 0 2 1 0 6 0 5 1 0 7 0 9 0 1 0 8 0 14 0 1 0 9 0 20 0 5 | -| 120 | ChebyshevS:Inv:Rev | Diffx1 | missing | 1 1 0 1 0 3 1 0 6 0 1 0 9 0 10 1 0 12 0 25 0 1 0 15 0 45 0 35 1 0 18 0 70 0 98 0 1 0 21 0 100 0 196 | -| 121 | ChebyshevS:Inv:Rev | RowSum | A001405 | 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 48620 92378 184756 352716 705432 | -| 122 | ChebyshevS:Inv:Rev | EvenSum | A001405 | 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 48620 92378 184756 352716 705432 | -| 123 | ChebyshevS:Inv:Rev | AltSum | A001405 | 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 48620 92378 184756 352716 705432 | -| 124 | ChebyshevS:Inv:Rev | DiagSum | A274112 | 1 1 1 1 2 3 4 5 8 12 17 23 35 52 75 105 157 232 337 480 712 1049 1529 2199 3248 4777 6976 10092 | -| 125 | ChebyshevS:Inv:Rev | AccSum | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 126 | ChebyshevS:Inv:Rev | AccRevSum | A296663 | 1 1 4 7 20 38 96 187 444 874 2000 3958 8840 17548 38528 76627 166124 330818 710256 1415650 3016056 | -| 127 | ChebyshevS:Inv:Rev | RowLcm | missing | 1 1 1 2 6 20 45 42 140 3024 3150 660 207900 34320 21021 450450 2522520 13613600 192972780 4232592 | -| 128 | ChebyshevS:Inv:Rev | RowGcd | A031230 | 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 | -| 129 | ChebyshevS:Inv:Rev | RowMax | A101461 | 1 1 1 2 3 5 9 14 28 48 90 165 297 572 1001 2002 3640 7072 13260 25194 48450 90440 177650 326876 | -| 130 | ChebyshevS:Inv:Rev | ColMiddle | missing | 1 1 0 0 3 4 0 0 20 27 0 0 154 208 0 0 1260 1700 0 0 10659 14364 0 0 92092 123970 0 0 807300 1085760 | -| 131 | ChebyshevS:Inv:Rev | CentralE | missing | 1 0 3 0 20 0 154 0 1260 0 10659 0 92092 0 807300 0 | -| 132 | ChebyshevS:Inv:Rev | CentralO | missing | 1 0 4 0 27 0 208 0 1700 0 14364 0 123970 0 1085760 0 | -| 133 | ChebyshevS:Inv:Rev | ColRight | A126120 | 1 0 1 0 2 0 5 0 14 0 42 0 132 0 429 0 1430 0 4862 0 16796 0 58786 0 208012 0 742900 0 2674440 0 | -| 134 | ChebyshevS:Inv:Rev | BinConv | A344500 | 1 1 2 7 21 66 216 715 2395 8101 27598 94568 325612 1125632 3904512 13583195 47373255 165585883 | -| 135 | ChebyshevS:Inv:Rev | InvBinConv | A344500 | 1 -1 2 -7 21 -66 216 -715 2395 -8101 27598 -94568 325612 -1125632 3904512 -13583195 47373255 | -| 136 | ChebyshevS:Inv:Rev | TransNat0 | missing | 0 0 2 4 14 28 76 152 374 748 1748 3496 7916 15832 35096 70192 153254 306508 661636 1323272 2831300 | -| 137 | ChebyshevS:Inv:Rev | TransNat1 | A296663 | 1 1 4 7 20 38 96 187 444 874 2000 3958 8840 17548 38528 76627 166124 330818 710256 1415650 3016056 | -| 138 | ChebyshevS:Inv:Rev | TransSqrs | missing | 0 0 4 8 44 96 344 752 2252 4880 13256 28464 72760 155008 380208 804704 1915916 4033008 9389288 | -| 139 | ChebyshevS:Inv:Rev | PosHalf | A054341 | 1 2 5 12 30 74 185 460 1150 2868 7170 17904 44760 111834 279585 698748 1746870 4366460 10916150 | -| 140 | ChebyshevS:Inv:Rev | NegHalf | A054341 | 1 -2 5 -12 30 -74 185 -460 1150 -2868 7170 -17904 44760 -111834 279585 -698748 1746870 -4366460 | -| 141 | ChebyshevS:Inv:Rev | DiagRow1 | B126120 | 1 0 2 0 5 0 14 0 42 0 132 0 429 0 1430 0 4862 0 16796 0 58786 0 208012 0 742900 0 2674440 0 9694845 | -| 142 | ChebyshevS:Inv:Rev | DiagRow2 | missing | 1 0 3 0 9 0 28 0 90 0 297 0 1001 0 3432 0 11934 0 41990 0 149226 0 534888 0 1931540 0 7020405 0 | -| 143 | ChebyshevS:Inv:Rev | DiagRow3 | missing | 1 0 4 0 14 0 48 0 165 0 572 0 2002 0 7072 0 25194 0 90440 0 326876 0 1188640 0 4345965 0 15967980 0 | -| 144 | ChebyshevS:Inv:Rev | DiagCol2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 145 | ChebyshevS:Inv:Rev | Poly | missing | 1 1 1 1 1 1 1 2 1 1 1 3 5 1 1 1 6 9 10 1 1 1 10 45 19 17 1 1 1 20 97 190 33 26 1 1 1 35 485 442 561 | -| 146 | ChebyshevS:Inv:Rev | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 147 | ChebyshevS:Inv:Rev | PolyRow3 | A058331 | 1 3 9 19 33 51 73 99 129 163 201 243 289 339 393 451 513 579 649 723 801 883 969 1059 1153 1251 | -| 148 | ChebyshevS:Inv:Rev | PolyCol2 | A121724 | 1 1 5 9 45 97 485 1145 5725 14289 71445 185193 925965 2467137 12335685 33563481 167817405 464221105 | -| 149 | ChebyshevS:Inv:Rev | PolyCol3 | A121725 | 1 1 10 19 190 442 4420 11395 113950 312814 3128140 8960878 89608780 264735892 2647358920 8006545891 | -| 150 | ChebyshevS:Inv:Rev | PolyDiag | missing | 1 1 5 19 561 3226 245125 1680995 242303425 1833649246 429075350901 3459304779822 1195433422273585 | \ No newline at end of file +| 39 | ChebyshevS:Alt | Triangle | A049310 | 1 0 -1 -1 0 1 0 2 0 -1 1 0 -3 0 1 0 -3 0 4 0 -1 -1 0 6 0 -5 0 1 0 4 0 -10 0 6 0 -1 1 0 -10 0 15 0 | +| 40 | ChebyshevS:Alt | Rev | A053119 | 1 -1 0 1 0 -1 -1 0 2 0 1 0 -3 0 1 -1 0 4 0 -3 0 1 0 -5 0 6 0 -1 -1 0 6 0 -10 0 4 0 1 0 -7 0 15 0 | +| 41 | ChebyshevS:Alt | Inv | A053121 | 1 0 1 1 0 1 0 -2 0 1 2 0 3 0 1 0 11 0 -4 0 1 5 0 9 0 5 0 1 0 -90 0 34 0 -6 0 1 14 0 28 0 20 0 7 0 1 | +| 42 | ChebyshevS:Alt | RevInv | A052173 | 1 1 0 1 0 1 1 0 -2 0 1 0 3 0 2 1 0 -4 0 11 0 1 0 5 0 9 0 5 1 0 -6 0 34 0 -90 0 1 0 7 0 20 0 28 0 14 | +| 43 | ChebyshevS:Alt | Acc | missing | 1 0 -1 -1 -1 0 0 2 2 1 1 1 -2 -2 -1 0 -3 -3 1 1 0 -1 -1 5 5 0 0 1 0 4 4 -6 -6 0 0 -1 1 1 -9 -9 6 6 | +| 44 | ChebyshevS:Alt | AccRev | missing | 1 -1 -1 1 1 0 -1 -1 1 1 1 1 -2 -2 -1 -1 -1 3 3 0 0 1 1 -4 -4 2 2 1 -1 -1 5 5 -5 -5 -1 -1 1 1 -6 -6 | +| 45 | ChebyshevS:Alt | AntiDiag | missing | 1 0 -1 -1 0 0 1 2 1 0 0 0 -1 -3 -3 -1 0 0 0 0 1 4 6 4 1 0 0 0 0 0 -1 -5 -10 -10 -5 -1 0 0 0 0 0 0 1 | +| 46 | ChebyshevS:Alt | Diffx1 | missing | 1 0 -2 -1 0 3 0 4 0 -4 1 0 -9 0 5 0 -6 0 16 0 -6 -1 0 18 0 -25 0 7 0 8 0 -40 0 36 0 -8 1 0 -30 0 75 | +| 47 | ChebyshevS:Alt | RowSum | A000484 | 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 | +| 48 | ChebyshevS:Alt | EvenSum | A232991 | 1 0 0 0 -1 0 1 0 0 0 -1 0 1 0 0 0 -1 0 1 0 0 0 -1 0 1 0 0 0 -1 0 1 0 | +| 49 | ChebyshevS:Alt | OddSum | A189668 | 0 -1 0 1 0 0 0 -1 0 1 0 0 0 -1 0 1 0 0 0 -1 0 1 0 0 0 -1 0 1 0 0 0 -1 | +| 50 | ChebyshevS:Alt | AltSum | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | +| 51 | ChebyshevS:Alt | DiagSum | A077957 | 1 0 -2 0 4 0 -8 0 16 0 -32 0 64 0 -128 0 256 0 -512 0 1024 0 -2048 0 4096 0 -8192 0 16384 0 -32768 | +| 52 | ChebyshevS:Alt | AccSum | missing | 1 -1 -2 5 -3 -4 9 -5 -6 13 -7 -8 17 -9 -10 21 -11 -12 25 -13 -14 29 -15 -16 33 -17 -18 37 -19 -20 | +| 53 | ChebyshevS:Alt | AccRevSum | missing | 1 -2 2 0 -3 4 -1 -4 6 -2 -5 8 -3 -6 10 -4 -7 12 -5 -8 14 -6 -9 16 -7 -10 18 -8 -11 20 -9 -12 | +| 54 | ChebyshevS:Alt | RowLcm | A073618 | 1 1 1 2 3 12 30 60 210 840 1260 2520 13860 27720 180180 360360 180180 720720 6126120 12252240 | +| 55 | ChebyshevS:Alt | RowGcd | missing | 1 1 1 2 3 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 | +| 56 | ChebyshevS:Alt | RowMax | A073028 | 1 1 1 2 3 4 6 10 15 21 35 56 84 126 210 330 495 792 1287 2002 3003 5005 8008 12376 19448 31824 | +| 57 | ChebyshevS:Alt | ColMiddle | missing | 1 0 0 2 -3 0 0 -10 15 0 0 56 -84 0 0 -330 495 0 0 2002 -3003 0 0 -12376 18564 0 0 77520 -116280 0 0 | +| 58 | ChebyshevS:Alt | CentralE | missing | 1 0 -3 0 15 0 -84 0 495 0 -3003 0 18564 0 -116280 0 | +| 59 | ChebyshevS:Alt | CentralO | missing | 0 2 0 -10 0 56 0 -330 0 2002 0 -12376 0 77520 0 -490314 | +| 60 | ChebyshevS:Alt | ColLeft | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | +| 61 | ChebyshevS:Alt | BinConv | A278415 | 1 -1 0 5 -16 24 15 -197 576 -724 -1200 8832 -22801 21293 76440 -408795 922368 -499104 -4446588 | +| 62 | ChebyshevS:Alt | InvBinConv | A278415 | 1 -1 0 5 -16 24 15 -197 576 -724 -1200 8832 -22801 21293 76440 -408795 922368 -499104 -4446588 | +| 63 | ChebyshevS:Alt | TransNat0 | A099254 | 0 -1 2 -1 -2 4 -2 -3 6 -3 -4 8 -4 -5 10 -5 -6 12 -6 -7 14 -7 -8 16 -8 -9 18 -9 -10 20 -10 -11 | +| 64 | ChebyshevS:Alt | TransNat1 | missing | 1 -2 2 0 -3 4 -1 -4 6 -2 -5 8 -3 -6 10 -4 -7 12 -5 -8 14 -6 -9 16 -7 -10 18 -8 -11 20 -9 -12 | +| 65 | ChebyshevS:Alt | TransSqrs | missing | 0 -1 4 -7 4 8 -20 15 12 -39 32 16 -64 55 20 -95 84 24 -132 119 28 -175 160 32 -224 207 36 -279 260 | +| 66 | ChebyshevS:Alt | PosHalf | A106853 | 1 -1 -3 7 5 -33 13 119 -171 -305 989 231 -4187 3263 13485 -26537 -27403 133551 -23939 -510265 | +| 67 | ChebyshevS:Alt | NegHalf | A106853 | 1 -1 -3 7 5 -33 13 119 -171 -305 989 231 -4187 3263 13485 -26537 -27403 133551 -23939 -510265 | +| 68 | ChebyshevS:Alt | DiagRow2 | A000027 | -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 16 -17 18 -19 20 -21 22 -23 24 -25 26 -27 28 -29 30 -31 | +| 69 | ChebyshevS:Alt | DiagCol1 | A027656 | -1 0 2 0 -3 0 4 0 -5 0 6 0 -7 0 8 0 -9 0 10 0 -11 0 12 0 -13 0 14 0 -15 0 16 0 | +| 70 | ChebyshevS:Alt | DiagCol2 | missing | 1 0 -3 0 6 0 -10 0 15 0 -21 0 28 0 -36 0 45 0 -55 0 66 0 -78 0 91 0 -105 0 120 0 -136 0 | +| 71 | ChebyshevS:Alt | DiagCol3 | missing | -1 0 4 0 -10 0 20 0 -35 0 56 0 -84 0 120 0 -165 0 220 0 -286 0 364 0 -455 0 560 0 -680 0 816 0 | +| 72 | ChebyshevS:Alt | Poly | missing | 1 0 1 -1 -1 1 0 0 -2 1 1 1 3 -3 1 0 -1 -4 8 -4 1 -1 0 5 -21 15 -5 1 0 1 -6 55 -56 24 -6 1 1 -1 7 | +| 73 | ChebyshevS:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 74 | ChebyshevS:Alt | PolyRow2 | A131386 | -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 75 | ChebyshevS:Alt | PolyRow3 | A242135 | 0 1 -4 -21 -56 -115 -204 -329 -496 -711 -980 -1309 -1704 -2171 -2716 -3345 -4064 -4879 -5796 -6821 | +| 76 | ChebyshevS:Alt | PolyCol2 | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 77 | ChebyshevS:Alt | PolyCol3 | B001906 | 1 -3 8 -21 55 -144 377 -987 2584 -6765 17711 -46368 121393 -317811 832040 -2178309 5702887 | +| 78 | ChebyshevS:Alt | PolyDiag | A097690 | 1 -1 3 -21 209 -2640 40391 -726103 15003009 -350382231 9127651499 -262424759520 8254109243953 | +| 79 | ChebyshevS:Rev | Triangle | A053119 | 1 1 0 1 0 -1 1 0 -2 0 1 0 -3 0 1 1 0 -4 0 3 0 1 0 -5 0 6 0 -1 1 0 -6 0 10 0 -4 0 1 0 -7 0 15 0 -10 | +| 80 | ChebyshevS:Rev | InvRev | A053121 | 1 0 1 1 0 1 0 2 0 1 2 0 3 0 1 0 5 0 4 0 1 5 0 9 0 5 0 1 0 14 0 14 0 6 0 1 14 0 28 0 20 0 7 0 1 0 42 | +| 81 | ChebyshevS:Rev | Acc | missing | 1 1 1 1 1 0 1 1 -1 -1 1 1 -2 -2 -1 1 1 -3 -3 0 0 1 1 -4 -4 2 2 1 1 1 -5 -5 5 5 1 1 1 1 -6 -6 9 9 -1 | +| 82 | ChebyshevS:Rev | AccRev | missing | 1 0 1 -1 -1 0 0 -2 -2 -1 1 1 -2 -2 -1 0 3 3 -1 -1 0 -1 -1 5 5 0 0 1 0 -4 -4 6 6 0 0 1 1 1 -9 -9 6 6 | +| 83 | ChebyshevS:Rev | AntiDiag | missing | 1 1 1 0 1 0 1 0 -1 1 0 -2 1 0 -3 0 1 0 -4 0 1 0 -5 0 1 1 0 -6 0 3 1 0 -7 0 6 0 1 0 -8 0 10 0 1 0 -9 | +| 84 | ChebyshevS:Rev | Diffx1 | missing | 1 1 0 1 0 -3 1 0 -6 0 1 0 -9 0 5 1 0 -12 0 15 0 1 0 -15 0 30 0 -7 1 0 -18 0 50 0 -28 0 1 0 -21 0 75 | +| 85 | ChebyshevS:Rev | RowSum | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | +| 86 | ChebyshevS:Rev | EvenSum | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | +| 87 | ChebyshevS:Rev | AltSum | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | +| 88 | ChebyshevS:Rev | DiagSum | A099530 | 1 1 1 1 0 -1 -2 -3 -3 -2 0 3 6 8 8 5 -1 -9 -17 -22 -21 -12 5 27 48 60 55 28 -20 -80 -135 -163 | +| 89 | ChebyshevS:Rev | AccSum | missing | 1 2 2 0 -3 -4 -1 4 6 2 -5 -8 -3 6 10 4 -7 -12 -5 8 14 6 -9 -16 -7 10 18 8 -11 -20 -9 12 | +| 90 | ChebyshevS:Rev | AccRevSum | missing | 1 1 -2 -5 -3 4 9 5 -6 -13 -7 8 17 9 -10 -21 -11 12 25 13 -14 -29 -15 16 33 17 -18 -37 -19 20 41 21 | +| 91 | ChebyshevS:Rev | RowLcm | A073618 | 1 1 1 2 3 12 30 60 210 840 1260 2520 13860 27720 180180 360360 180180 720720 6126120 12252240 | +| 92 | ChebyshevS:Rev | RowGcd | missing | 1 1 1 2 3 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 | +| 93 | ChebyshevS:Rev | RowMax | A073028 | 1 1 1 2 3 4 6 10 15 21 35 56 84 126 210 330 495 792 1287 2002 3003 5005 8008 12376 19448 31824 | +| 94 | ChebyshevS:Rev | ColMiddle | missing | 1 1 0 0 -3 -4 0 0 15 21 0 0 -84 -120 0 0 495 715 0 0 -3003 -4368 0 0 18564 27132 0 0 -116280 | +| 95 | ChebyshevS:Rev | CentralE | missing | 1 0 -3 0 15 0 -84 0 495 0 -3003 0 18564 0 -116280 0 | +| 96 | ChebyshevS:Rev | CentralO | missing | 1 0 -4 0 21 0 -120 0 715 0 -4368 0 27132 0 -170544 0 | +| 97 | ChebyshevS:Rev | ColRight | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | +| 98 | ChebyshevS:Rev | BinConv | A278415 | 1 1 0 -5 -16 -24 15 197 576 724 -1200 -8832 -22801 -21293 76440 408795 922368 499104 -4446588 | +| 99 | ChebyshevS:Rev | InvBinConv | A278415 | 1 -1 0 5 -16 24 15 -197 576 -724 -1200 8832 -22801 21293 76440 -408795 922368 -499104 -4446588 | +| 100 | ChebyshevS:Rev | TransNat0 | missing | 0 0 -2 -4 -2 4 8 4 -6 -12 -6 8 16 8 -10 -20 -10 12 24 12 -14 -28 -14 16 32 16 -18 -36 -18 20 40 20 | +| 101 | ChebyshevS:Rev | TransNat1 | missing | 1 1 -2 -5 -3 4 9 5 -6 -13 -7 8 17 9 -10 -21 -11 12 25 13 -14 -29 -15 16 33 17 -18 -37 -19 20 41 21 | +| 102 | ChebyshevS:Rev | TransSqrs | missing | 0 0 -4 -8 4 32 40 -8 -84 -96 12 160 176 -16 -260 -280 20 384 408 -24 -532 -560 28 704 736 -32 -900 | +| 103 | ChebyshevS:Rev | PosHalf | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 104 | ChebyshevS:Rev | NegHalf | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 105 | ChebyshevS:Rev | DiagRow1 | A027656 | 1 0 -2 0 3 0 -4 0 5 0 -6 0 7 0 -8 0 9 0 -10 0 11 0 -12 0 13 0 -14 0 15 0 -16 0 | +| 106 | ChebyshevS:Rev | DiagRow2 | missing | 1 0 -3 0 6 0 -10 0 15 0 -21 0 28 0 -36 0 45 0 -55 0 66 0 -78 0 91 0 -105 0 120 0 -136 0 | +| 107 | ChebyshevS:Rev | DiagRow3 | missing | 1 0 -4 0 10 0 -20 0 35 0 -56 0 84 0 -120 0 165 0 -220 0 286 0 -364 0 455 0 -560 0 680 0 -816 0 | +| 108 | ChebyshevS:Rev | DiagCol2 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | +| 109 | ChebyshevS:Rev | Poly | missing | 1 1 1 1 1 1 1 0 1 1 1 -1 -3 1 1 1 -1 -7 -8 1 1 1 0 5 -17 -15 1 1 1 1 33 55 -31 -24 1 1 1 1 13 208 | +| 110 | ChebyshevS:Rev | PolyRow2 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | +| 111 | ChebyshevS:Rev | PolyRow3 | A056220 | 1 -1 -7 -17 -31 -49 -71 -97 -127 -161 -199 -241 -287 -337 -391 -449 -511 -577 -647 -721 -799 -881 | +| 112 | ChebyshevS:Rev | PolyCol2 | A106853 | 1 1 -3 -7 5 33 13 -119 -171 305 989 -231 -4187 -3263 13485 26537 -27403 -133551 -23939 510265 | +| 113 | ChebyshevS:Rev | PolyCol3 | A146078 | 1 1 -8 -17 55 208 -287 -2159 424 19855 16039 -162656 -307007 1156897 3919960 -6492113 -41771753 | +| 114 | ChebyshevS:Rev | PolyDiag | missing | 1 1 -3 -17 209 1776 -39059 -446879 14216769 204741919 -8534720899 -148220668320 7645684627153 | +| 115 | ChebyshevS:Inv | Triangle | A053121 | 1 0 1 1 0 1 0 2 0 1 2 0 3 0 1 0 5 0 4 0 1 5 0 9 0 5 0 1 0 14 0 14 0 6 0 1 14 0 28 0 20 0 7 0 1 0 42 | +| 116 | ChebyshevS:Inv | Rev | A052173 | 1 1 0 1 0 1 1 0 2 0 1 0 3 0 2 1 0 4 0 5 0 1 0 5 0 9 0 5 1 0 6 0 14 0 14 0 1 0 7 0 20 0 28 0 14 1 0 | +| 117 | ChebyshevS:Inv | RevInv | A053119 | 1 1 0 1 0 -1 1 0 -2 0 1 0 -3 0 1 1 0 -4 0 3 0 1 0 -5 0 6 0 -1 1 0 -6 0 10 0 -4 0 1 0 -7 0 15 0 -10 | +| 118 | ChebyshevS:Inv | Acc | missing | 1 0 1 1 1 2 0 2 2 3 2 2 5 5 6 0 5 5 9 9 10 5 5 14 14 19 19 20 0 14 14 28 28 34 34 35 14 14 42 42 62 | +| 119 | ChebyshevS:Inv | AccRev | A107430 | 1 1 1 1 1 2 1 1 3 3 1 1 4 4 6 1 1 5 5 10 10 1 1 6 6 15 15 20 1 1 7 7 21 21 35 35 1 1 8 8 28 28 56 | +| 120 | ChebyshevS:Inv | AntiDiag | missing | 1 0 1 1 0 0 2 2 1 0 0 0 5 5 3 1 0 0 0 0 14 14 9 4 1 0 0 0 0 0 42 42 28 14 5 1 0 0 0 0 0 0 132 132 | +| 121 | ChebyshevS:Inv | Diffx1 | missing | 1 0 2 1 0 3 0 4 0 4 2 0 9 0 5 0 10 0 16 0 6 5 0 27 0 25 0 7 0 28 0 56 0 36 0 8 14 0 84 0 100 0 49 0 | +| 122 | ChebyshevS:Inv | RowSum | A001405 | 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 48620 92378 184756 352716 705432 | +| 123 | ChebyshevS:Inv | EvenSum | A126869 | 1 0 2 0 6 0 20 0 70 0 252 0 924 0 3432 0 12870 0 48620 0 184756 0 705432 0 2704156 0 10400600 0 | +| 124 | ChebyshevS:Inv | OddSum | A138364 | 0 1 0 3 0 10 0 35 0 126 0 462 0 1716 0 6435 0 24310 0 92378 0 352716 0 1352078 0 5200300 0 20058300 | +| 125 | ChebyshevS:Inv | AltSum | A001405 | 1 -1 2 -3 6 -10 20 -35 70 -126 252 -462 924 -1716 3432 -6435 12870 -24310 48620 -92378 184756 | +| 126 | ChebyshevS:Inv | DiagSum | B126120 | 1 0 2 0 5 0 14 0 42 0 132 0 429 0 1430 0 4862 0 16796 0 58786 0 208012 0 742900 0 2674440 0 9694845 | +| 127 | ChebyshevS:Inv | AccSum | A296663 | 1 1 4 7 20 38 96 187 444 874 2000 3958 8840 17548 38528 76627 166124 330818 710256 1415650 3016056 | +| 128 | ChebyshevS:Inv | AccRevSum | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 129 | ChebyshevS:Inv | RowLcm | missing | 1 1 1 2 6 20 45 42 140 3024 3150 660 207900 34320 21021 450450 2522520 13613600 192972780 4232592 | +| 130 | ChebyshevS:Inv | RowGcd | A031230 | 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 | +| 131 | ChebyshevS:Inv | RowMax | A101461 | 1 1 1 2 3 5 9 14 28 48 90 165 297 572 1001 2002 3640 7072 13260 25194 48450 90440 177650 326876 | +| 132 | ChebyshevS:Inv | ColMiddle | missing | 1 0 0 2 3 0 0 14 20 0 0 110 154 0 0 910 1260 0 0 7752 10659 0 0 67298 92092 0 0 592020 807300 0 0 | +| 133 | ChebyshevS:Inv | CentralE | missing | 1 0 3 0 20 0 154 0 1260 0 10659 0 92092 0 807300 0 | +| 134 | ChebyshevS:Inv | CentralO | missing | 0 2 0 14 0 110 0 910 0 7752 0 67298 0 592020 0 5259150 | +| 135 | ChebyshevS:Inv | ColLeft | A126120 | 1 0 1 0 2 0 5 0 14 0 42 0 132 0 429 0 1430 0 4862 0 16796 0 58786 0 208012 0 742900 0 2674440 0 | +| 136 | ChebyshevS:Inv | BinConv | A344500 | 1 1 2 7 21 66 216 715 2395 8101 27598 94568 325612 1125632 3904512 13583195 47373255 165585883 | +| 137 | ChebyshevS:Inv | InvBinConv | A344500 | 1 1 2 7 21 66 216 715 2395 8101 27598 94568 325612 1125632 3904512 13583195 47373255 165585883 | +| 138 | ChebyshevS:Inv | TransNat0 | A045621 | 0 1 2 5 10 22 44 93 186 386 772 1586 3172 6476 12952 26333 52666 106762 213524 431910 863820 | +| 139 | ChebyshevS:Inv | TransNat1 | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 140 | ChebyshevS:Inv | TransSqrs | missing | 0 1 4 11 28 66 152 339 748 1622 3496 7454 15832 33380 70192 146819 306508 637326 1323272 2738922 | +| 141 | ChebyshevS:Inv | PosHalf | A121724 | 1 1 5 9 45 97 485 1145 5725 14289 71445 185193 925965 2467137 12335685 33563481 167817405 464221105 | +| 142 | ChebyshevS:Inv | NegHalf | A121724 | 1 1 5 9 45 97 485 1145 5725 14289 71445 185193 925965 2467137 12335685 33563481 167817405 464221105 | +| 143 | ChebyshevS:Inv | DiagRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 144 | ChebyshevS:Inv | DiagCol1 | B126120 | 1 0 2 0 5 0 14 0 42 0 132 0 429 0 1430 0 4862 0 16796 0 58786 0 208012 0 742900 0 2674440 0 9694845 | +| 145 | ChebyshevS:Inv | DiagCol2 | missing | 1 0 3 0 9 0 28 0 90 0 297 0 1001 0 3432 0 11934 0 41990 0 149226 0 534888 0 1931540 0 7020405 0 | +| 146 | ChebyshevS:Inv | DiagCol3 | missing | 1 0 4 0 14 0 48 0 165 0 572 0 2002 0 7072 0 25194 0 90440 0 326876 0 1188640 0 4345965 0 15967980 0 | +| 147 | ChebyshevS:Inv | Poly | A330608 | 1 0 1 1 1 1 0 2 2 1 2 3 5 3 1 0 6 12 10 4 1 5 10 30 33 17 5 1 0 20 74 110 72 26 6 1 14 35 185 366 | +| 148 | ChebyshevS:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 149 | ChebyshevS:Inv | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 150 | ChebyshevS:Inv | PolyRow3 | A054602 | 0 3 12 33 72 135 228 357 528 747 1020 1353 1752 2223 2772 3405 4128 4947 5868 6897 8040 9303 10692 | +| 151 | ChebyshevS:Inv | PolyCol2 | A054341 | 1 2 5 12 30 74 185 460 1150 2868 7170 17904 44760 111834 279585 698748 1746870 4366460 10916150 | +| 152 | ChebyshevS:Inv | PolyCol3 | A126931 | 1 3 10 33 110 366 1220 4065 13550 45162 150540 501786 1672620 5575356 18584520 61948257 206494190 | +| 153 | ChebyshevS:Inv | PolyDiag | missing | 1 1 5 33 306 3650 53465 929285 18695950 427313934 10935759042 309766519722 9620876053140 | +| 154 | ChebyshevS:Inv:Rev | Triangle | A052173 | 1 1 0 1 0 1 1 0 2 0 1 0 3 0 2 1 0 4 0 5 0 1 0 5 0 9 0 5 1 0 6 0 14 0 14 0 1 0 7 0 20 0 28 0 14 1 0 | +| 155 | ChebyshevS:Inv:Rev | Rev | A053121 | 1 0 1 1 0 1 0 2 0 1 2 0 3 0 1 0 5 0 4 0 1 5 0 9 0 5 0 1 0 14 0 14 0 6 0 1 14 0 28 0 20 0 7 0 1 0 42 | +| 156 | ChebyshevS:Inv:Rev | InvRev | A049310 | 1 0 1 -1 0 1 0 -2 0 1 1 0 -3 0 1 0 3 0 -4 0 1 -1 0 6 0 -5 0 1 0 -4 0 10 0 -6 0 1 1 0 -10 0 15 0 -7 | +| 157 | ChebyshevS:Inv:Rev | Acc | A107430 | 1 1 1 1 1 2 1 1 3 3 1 1 4 4 6 1 1 5 5 10 10 1 1 6 6 15 15 20 1 1 7 7 21 21 35 35 1 1 8 8 28 28 56 | +| 158 | ChebyshevS:Inv:Rev | AccRev | missing | 1 0 1 1 1 2 0 2 2 3 2 2 5 5 6 0 5 5 9 9 10 5 5 14 14 19 19 20 0 14 14 28 28 34 34 35 14 14 42 42 62 | +| 159 | ChebyshevS:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 0 1 0 1 1 0 2 1 0 3 0 1 0 4 0 1 0 5 0 2 1 0 6 0 5 1 0 7 0 9 0 1 0 8 0 14 0 1 0 9 0 20 0 5 | +| 160 | ChebyshevS:Inv:Rev | Diffx1 | missing | 1 1 0 1 0 3 1 0 6 0 1 0 9 0 10 1 0 12 0 25 0 1 0 15 0 45 0 35 1 0 18 0 70 0 98 0 1 0 21 0 100 0 196 | +| 161 | ChebyshevS:Inv:Rev | RowSum | A001405 | 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 48620 92378 184756 352716 705432 | +| 162 | ChebyshevS:Inv:Rev | EvenSum | A001405 | 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 48620 92378 184756 352716 705432 | +| 163 | ChebyshevS:Inv:Rev | AltSum | A001405 | 1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 48620 92378 184756 352716 705432 | +| 164 | ChebyshevS:Inv:Rev | DiagSum | A274112 | 1 1 1 1 2 3 4 5 8 12 17 23 35 52 75 105 157 232 337 480 712 1049 1529 2199 3248 4777 6976 10092 | +| 165 | ChebyshevS:Inv:Rev | AccSum | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 166 | ChebyshevS:Inv:Rev | AccRevSum | A296663 | 1 1 4 7 20 38 96 187 444 874 2000 3958 8840 17548 38528 76627 166124 330818 710256 1415650 3016056 | +| 167 | ChebyshevS:Inv:Rev | RowLcm | missing | 1 1 1 2 6 20 45 42 140 3024 3150 660 207900 34320 21021 450450 2522520 13613600 192972780 4232592 | +| 168 | ChebyshevS:Inv:Rev | RowGcd | A031230 | 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 | +| 169 | ChebyshevS:Inv:Rev | RowMax | A101461 | 1 1 1 2 3 5 9 14 28 48 90 165 297 572 1001 2002 3640 7072 13260 25194 48450 90440 177650 326876 | +| 170 | ChebyshevS:Inv:Rev | ColMiddle | missing | 1 1 0 0 3 4 0 0 20 27 0 0 154 208 0 0 1260 1700 0 0 10659 14364 0 0 92092 123970 0 0 807300 1085760 | +| 171 | ChebyshevS:Inv:Rev | CentralE | missing | 1 0 3 0 20 0 154 0 1260 0 10659 0 92092 0 807300 0 | +| 172 | ChebyshevS:Inv:Rev | CentralO | missing | 1 0 4 0 27 0 208 0 1700 0 14364 0 123970 0 1085760 0 | +| 173 | ChebyshevS:Inv:Rev | ColRight | A126120 | 1 0 1 0 2 0 5 0 14 0 42 0 132 0 429 0 1430 0 4862 0 16796 0 58786 0 208012 0 742900 0 2674440 0 | +| 174 | ChebyshevS:Inv:Rev | BinConv | A344500 | 1 1 2 7 21 66 216 715 2395 8101 27598 94568 325612 1125632 3904512 13583195 47373255 165585883 | +| 175 | ChebyshevS:Inv:Rev | InvBinConv | A344500 | 1 -1 2 -7 21 -66 216 -715 2395 -8101 27598 -94568 325612 -1125632 3904512 -13583195 47373255 | +| 176 | ChebyshevS:Inv:Rev | TransNat0 | missing | 0 0 2 4 14 28 76 152 374 748 1748 3496 7916 15832 35096 70192 153254 306508 661636 1323272 2831300 | +| 177 | ChebyshevS:Inv:Rev | TransNat1 | A296663 | 1 1 4 7 20 38 96 187 444 874 2000 3958 8840 17548 38528 76627 166124 330818 710256 1415650 3016056 | +| 178 | ChebyshevS:Inv:Rev | TransSqrs | missing | 0 0 4 8 44 96 344 752 2252 4880 13256 28464 72760 155008 380208 804704 1915916 4033008 9389288 | +| 179 | ChebyshevS:Inv:Rev | PosHalf | A054341 | 1 2 5 12 30 74 185 460 1150 2868 7170 17904 44760 111834 279585 698748 1746870 4366460 10916150 | +| 180 | ChebyshevS:Inv:Rev | NegHalf | A054341 | 1 -2 5 -12 30 -74 185 -460 1150 -2868 7170 -17904 44760 -111834 279585 -698748 1746870 -4366460 | +| 181 | ChebyshevS:Inv:Rev | DiagRow1 | B126120 | 1 0 2 0 5 0 14 0 42 0 132 0 429 0 1430 0 4862 0 16796 0 58786 0 208012 0 742900 0 2674440 0 9694845 | +| 182 | ChebyshevS:Inv:Rev | DiagRow2 | missing | 1 0 3 0 9 0 28 0 90 0 297 0 1001 0 3432 0 11934 0 41990 0 149226 0 534888 0 1931540 0 7020405 0 | +| 183 | ChebyshevS:Inv:Rev | DiagRow3 | missing | 1 0 4 0 14 0 48 0 165 0 572 0 2002 0 7072 0 25194 0 90440 0 326876 0 1188640 0 4345965 0 15967980 0 | +| 184 | ChebyshevS:Inv:Rev | DiagCol2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 185 | ChebyshevS:Inv:Rev | Poly | missing | 1 1 1 1 1 1 1 2 1 1 1 3 5 1 1 1 6 9 10 1 1 1 10 45 19 17 1 1 1 20 97 190 33 26 1 1 1 35 485 442 561 | +| 186 | ChebyshevS:Inv:Rev | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 187 | ChebyshevS:Inv:Rev | PolyRow3 | A058331 | 1 3 9 19 33 51 73 99 129 163 201 243 289 339 393 451 513 579 649 723 801 883 969 1059 1153 1251 | +| 188 | ChebyshevS:Inv:Rev | PolyCol2 | A121724 | 1 1 5 9 45 97 485 1145 5725 14289 71445 185193 925965 2467137 12335685 33563481 167817405 464221105 | +| 189 | ChebyshevS:Inv:Rev | PolyCol3 | A121725 | 1 1 10 19 190 442 4420 11395 113950 312814 3128140 8960878 89608780 264735892 2647358920 8006545891 | +| 190 | ChebyshevS:Inv:Rev | PolyDiag | missing | 1 1 5 19 561 3226 245125 1680995 242303425 1833649246 429075350901 3459304779822 1195433422273585 | \ No newline at end of file diff --git a/data/md/ChebyshevT.md b/data/md/ChebyshevT.md index f63404c..ccc8835 100644 --- a/data/md/ChebyshevT.md +++ b/data/md/ChebyshevT.md @@ -1,71 +1,108 @@ -| | triangle | trait | anum | seq | -|---:|:---------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | ChebyshevT:Std | Triangle | A053120 | 1 0 1 -1 0 2 0 -3 0 4 1 0 -8 0 8 0 5 0 -20 0 16 -1 0 18 0 -48 0 32 0 -7 0 56 0 -112 0 64 1 0 -32 0 | -| 1 | ChebyshevT:Std | Rev | A039991 | 1 1 0 2 0 -1 4 0 -3 0 8 0 -8 0 1 16 0 -20 0 5 0 32 0 -48 0 18 0 -1 64 0 -112 0 56 0 -7 0 128 0 -256 | -| 2 | ChebyshevT:Std | Acc | missing | 1 0 1 -1 -1 1 0 -3 -3 1 1 1 -7 -7 1 0 5 5 -15 -15 1 -1 -1 17 17 -31 -31 1 0 -7 -7 49 49 -63 -63 1 1 | -| 3 | ChebyshevT:Std | AccRev | missing | 1 1 1 2 2 1 4 4 1 1 8 8 0 0 1 16 16 -4 -4 1 1 32 32 -16 -16 2 2 1 64 64 -48 -48 8 8 1 1 128 128 | -| 4 | ChebyshevT:Std | AntiDiag | missing | 1 0 -1 1 0 0 1 -3 2 0 0 0 -1 5 -8 4 0 0 0 0 1 -7 18 -20 8 0 0 0 0 0 -1 9 -32 56 -48 16 0 0 0 0 0 0 | -| 5 | ChebyshevT:Std | Diffx1 | missing | 1 0 2 -1 0 6 0 -6 0 16 1 0 -24 0 40 0 10 0 -80 0 96 -1 0 54 0 -240 0 224 0 -14 0 224 0 -672 0 512 1 | -| 6 | ChebyshevT:Std | EvenSum | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | -| 7 | ChebyshevT:Std | OddSum | A000035 | 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 | -| 8 | ChebyshevT:Std | AccSum | A165900 | 1 1 -1 -5 -11 -19 -29 -41 -55 -71 -89 -109 -131 -155 -181 -209 -239 -271 -305 -341 -379 -419 -461 | -| 9 | ChebyshevT:Std | AccRevSum | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 10 | ChebyshevT:Std | RowLcm | missing | 1 1 2 12 8 80 288 448 1280 34560 89600 394240 1935360 5591040 66232320 851558400 1968046080 | -| 11 | ChebyshevT:Std | RowGcd | missing | 1 1 2 1 8 1 2 1 32 1 2 1 8 1 2 1 128 1 2 1 8 1 2 1 32 1 2 1 8 1 2 1 | -| 12 | ChebyshevT:Std | RowMax | missing | 1 1 2 4 8 20 48 112 256 576 1280 2816 6912 16640 39424 92160 212992 487424 1118208 2723840 6553600 | -| 13 | ChebyshevT:Std | ColMiddle | missing | 1 0 0 -3 -8 0 0 56 160 0 0 -1232 -3584 0 0 28800 84480 0 0 -695552 -2050048 0 0 17145856 50692096 0 | -| 14 | ChebyshevT:Std | CentralE | missing | 1 0 -8 0 160 0 -3584 0 84480 0 -2050048 0 50692096 0 -1270087680 0 | -| 15 | ChebyshevT:Std | CentralO | missing | 0 -3 0 56 0 -1232 0 28800 0 -695552 0 17145856 0 -428654592 0 10827497472 | -| 16 | ChebyshevT:Std | ColLeft | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | -| 17 | ChebyshevT:Std | ColRight | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 18 | ChebyshevT:Std | BinConv | missing | 1 1 1 -5 -39 -159 -419 -377 3265 23953 96361 242419 117417 -2625375 -17166603 -65567985 -151353855 | -| 19 | ChebyshevT:Std | InvBinConv | missing | 1 1 1 -5 -39 -159 -419 -377 3265 23953 96361 242419 117417 -2625375 -17166603 -65567985 -151353855 | -| 20 | ChebyshevT:Std | TransNat0 | A000290 | 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 | -| 21 | ChebyshevT:Std | TransNat1 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 22 | ChebyshevT:Std | TransSqrs | A014820 | 0 1 8 33 96 225 456 833 1408 2241 3400 4961 7008 9633 12936 17025 22016 28033 35208 43681 53600 | -| 23 | ChebyshevT:Std | PosHalf | A104537 | 1 1 -2 -8 -8 16 64 64 -128 -512 -512 1024 4096 4096 -8192 -32768 -32768 65536 262144 262144 -524288 | -| 24 | ChebyshevT:Std | NegHalf | A104537 | 1 1 -2 -8 -8 16 64 64 -128 -512 -512 1024 4096 4096 -8192 -32768 -32768 65536 262144 262144 -524288 | -| 25 | ChebyshevT:Std | DiagRow2 | A001792 | -1 -3 -8 -20 -48 -112 -256 -576 -1280 -2816 -6144 -13312 -28672 -61440 -131072 -278528 -589824 | -| 26 | ChebyshevT:Std | DiagCol1 | A193356 | 1 0 -3 0 5 0 -7 0 9 0 -11 0 13 0 -15 0 17 0 -19 0 21 0 -23 0 25 0 -27 0 29 0 -31 0 | -| 27 | ChebyshevT:Std | DiagCol2 | missing | 2 0 -8 0 18 0 -32 0 50 0 -72 0 98 0 -128 0 162 0 -200 0 242 0 -288 0 338 0 -392 0 450 0 -512 0 | -| 28 | ChebyshevT:Std | DiagCol3 | missing | 4 0 -20 0 56 0 -120 0 220 0 -364 0 560 0 -816 0 1140 0 -1540 0 2024 0 -2600 0 3276 0 -4060 0 4960 0 | -| 29 | ChebyshevT:Std | Poly | A101124 | 1 0 1 -1 1 1 0 1 2 1 1 1 7 3 1 0 1 26 17 4 1 -1 1 97 99 31 5 1 0 1 362 577 244 49 6 1 1 1 1351 3363 | -| 30 | ChebyshevT:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 31 | ChebyshevT:Std | PolyRow2 | A056220 | -1 1 7 17 31 49 71 97 127 161 199 241 287 337 391 449 511 577 647 721 799 881 967 1057 1151 1249 | -| 32 | ChebyshevT:Std | PolyRow3 | A144129 | 0 1 26 99 244 485 846 1351 2024 2889 3970 5291 6876 8749 10934 13455 16336 19601 23274 27379 31940 | -| 33 | ChebyshevT:Std | PolyCol2 | A001075 | 1 2 7 26 97 362 1351 5042 18817 70226 262087 978122 3650401 13623482 50843527 189750626 708158977 | -| 34 | ChebyshevT:Std | PolyCol3 | A001541 | 1 3 17 99 577 3363 19601 114243 665857 3880899 22619537 131836323 768398401 4478554083 26102926097 | -| 35 | ChebyshevT:Std | PolyDiag | A115066 | 1 1 7 99 1921 47525 1431431 50843527 2081028097 96450076809 4993116004999 285573847759211 | -| 36 | ChebyshevT:Rev | Triangle | A039991 | 1 1 0 2 0 -1 4 0 -3 0 8 0 -8 0 1 16 0 -20 0 5 0 32 0 -48 0 18 0 -1 64 0 -112 0 56 0 -7 0 128 0 -256 | -| 37 | ChebyshevT:Rev | Acc | missing | 1 1 1 2 2 1 4 4 1 1 8 8 0 0 1 16 16 -4 -4 1 1 32 32 -16 -16 2 2 1 64 64 -48 -48 8 8 1 1 128 128 | -| 38 | ChebyshevT:Rev | AccRev | missing | 1 0 1 -1 -1 1 0 -3 -3 1 1 1 -7 -7 1 0 5 5 -15 -15 1 -1 -1 17 17 -31 -31 1 0 -7 -7 49 49 -63 -63 1 1 | -| 39 | ChebyshevT:Rev | AntiDiag | missing | 1 1 2 0 4 0 8 0 -1 16 0 -3 32 0 -8 0 64 0 -20 0 128 0 -48 0 1 256 0 -112 0 5 512 0 -256 0 18 0 1024 | -| 40 | ChebyshevT:Rev | Diffx1 | missing | 1 1 0 2 0 -3 4 0 -9 0 8 0 -24 0 5 16 0 -60 0 25 0 32 0 -144 0 90 0 -7 64 0 -336 0 280 0 -49 0 128 0 | -| 41 | ChebyshevT:Rev | DiagSum | B000073 | 1 1 2 4 7 13 24 44 81 149 274 504 927 1705 3136 5768 10609 19513 35890 66012 121415 223317 410744 | -| 42 | ChebyshevT:Rev | AccSum | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 43 | ChebyshevT:Rev | AccRevSum | A165900 | 1 1 -1 -5 -11 -19 -29 -41 -55 -71 -89 -109 -131 -155 -181 -209 -239 -271 -305 -341 -379 -419 -461 | -| 44 | ChebyshevT:Rev | RowLcm | missing | 1 1 2 12 8 80 288 448 1280 34560 89600 394240 1935360 5591040 66232320 851558400 1968046080 | -| 45 | ChebyshevT:Rev | RowGcd | missing | 1 1 2 1 8 1 2 1 32 1 2 1 8 1 2 1 128 1 2 1 8 1 2 1 32 1 2 1 8 1 2 1 | -| 46 | ChebyshevT:Rev | RowMax | missing | 1 1 2 4 8 20 48 112 256 576 1280 2816 6912 16640 39424 92160 212992 487424 1118208 2723840 6553600 | -| 47 | ChebyshevT:Rev | ColMiddle | missing | 1 1 0 0 -8 -20 0 0 160 432 0 0 -3584 -9984 0 0 84480 239360 0 0 -2050048 -5870592 0 0 50692096 | -| 48 | ChebyshevT:Rev | CentralE | missing | 1 0 -8 0 160 0 -3584 0 84480 0 -2050048 0 50692096 0 -1270087680 0 | -| 49 | ChebyshevT:Rev | CentralO | missing | 1 0 -20 0 432 0 -9984 0 239360 0 -5870592 0 146227200 0 -3683254272 0 | -| 50 | ChebyshevT:Rev | ColLeft | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 51 | ChebyshevT:Rev | ColRight | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | -| 52 | ChebyshevT:Rev | BinConv | missing | 1 1 1 -5 -39 -159 -419 -377 3265 23953 96361 242419 117417 -2625375 -17166603 -65567985 -151353855 | -| 53 | ChebyshevT:Rev | InvBinConv | missing | 1 -1 1 5 -39 159 -419 377 3265 -23953 96361 -242419 117417 2625375 -17166603 65567985 -151353855 | -| 54 | ChebyshevT:Rev | TransNat0 | A279019 | 0 0 -2 -6 -12 -20 -30 -42 -56 -72 -90 -110 -132 -156 -182 -210 -240 -272 -306 -342 -380 -420 -462 | -| 55 | ChebyshevT:Rev | TransNat1 | A165900 | 1 1 -1 -5 -11 -19 -29 -41 -55 -71 -89 -109 -131 -155 -181 -209 -239 -271 -305 -341 -379 -419 -461 | -| 56 | ChebyshevT:Rev | TransSqrs | missing | 0 0 -4 -12 -16 0 60 196 448 864 1500 2420 3696 5408 7644 10500 14080 18496 23868 30324 38000 47040 | -| 57 | ChebyshevT:Rev | PosHalf | A001075 | 1 2 7 26 97 362 1351 5042 18817 70226 262087 978122 3650401 13623482 50843527 189750626 708158977 | -| 58 | ChebyshevT:Rev | NegHalf | A001075 | 1 -2 7 -26 97 -362 1351 -5042 18817 -70226 262087 -978122 3650401 -13623482 50843527 -189750626 | -| 59 | ChebyshevT:Rev | DiagRow1 | A193356 | 1 0 -3 0 5 0 -7 0 9 0 -11 0 13 0 -15 0 17 0 -19 0 21 0 -23 0 25 0 -27 0 29 0 -31 0 | -| 60 | ChebyshevT:Rev | DiagRow2 | missing | 2 0 -8 0 18 0 -32 0 50 0 -72 0 98 0 -128 0 162 0 -200 0 242 0 -288 0 338 0 -392 0 450 0 -512 0 | -| 61 | ChebyshevT:Rev | DiagRow3 | missing | 4 0 -20 0 56 0 -120 0 220 0 -364 0 560 0 -816 0 1140 0 -1540 0 2024 0 -2600 0 3276 0 -4060 0 4960 0 | -| 62 | ChebyshevT:Rev | DiagCol2 | A001792 | -1 -3 -8 -20 -48 -112 -256 -576 -1280 -2816 -6144 -13312 -28672 -61440 -131072 -278528 -589824 | -| 63 | ChebyshevT:Rev | Poly | missing | 1 1 1 2 1 1 4 1 1 1 8 1 -2 1 1 16 1 -8 -7 1 1 32 1 -8 -23 -14 1 1 64 1 16 17 -44 -23 1 1 128 1 64 | -| 64 | ChebyshevT:Rev | PolyRow2 | A008865 | 2 1 -2 -7 -14 -23 -34 -47 -62 -79 -98 -119 -142 -167 -194 -223 -254 -287 -322 -359 -398 -439 -482 | -| 65 | ChebyshevT:Rev | PolyRow3 | missing | 4 1 -8 -23 -44 -71 -104 -143 -188 -239 -296 -359 -428 -503 -584 -671 -764 -863 -968 -1079 -1196 | -| 66 | ChebyshevT:Rev | PolyCol2 | A104537 | 1 1 -2 -8 -8 16 64 64 -128 -512 -512 1024 4096 4096 -8192 -32768 -32768 65536 262144 262144 -524288 | -| 67 | ChebyshevT:Rev | PolyCol3 | A025172 | 1 1 -7 -23 17 241 329 -1511 -5983 1633 57113 99529 -314959 -1525679 -216727 13297657 28545857 | -| 68 | ChebyshevT:Rev | PolyDiag | missing | 1 1 -2 -23 136 2641 -25024 -694511 9027712 326435521 -5388927488 -240294390599 4808675526656 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:---------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | ChebyshevT:Std | Triangle | A053120 | 1 0 1 -1 0 2 0 -3 0 4 1 0 -8 0 8 0 5 0 -20 0 16 -1 0 18 0 -48 0 32 0 -7 0 56 0 -112 0 64 1 0 -32 0 | +| 1 | ChebyshevT:Std | Rev | A039991 | 1 1 0 2 0 -1 4 0 -3 0 8 0 -8 0 1 16 0 -20 0 5 0 32 0 -48 0 18 0 -1 64 0 -112 0 56 0 -7 0 128 0 -256 | +| 2 | ChebyshevT:Std | Acc | missing | 1 0 1 -1 -1 1 0 -3 -3 1 1 1 -7 -7 1 0 5 5 -15 -15 1 -1 -1 17 17 -31 -31 1 0 -7 -7 49 49 -63 -63 1 1 | +| 3 | ChebyshevT:Std | AccRev | missing | 1 1 1 2 2 1 4 4 1 1 8 8 0 0 1 16 16 -4 -4 1 1 32 32 -16 -16 2 2 1 64 64 -48 -48 8 8 1 1 128 128 | +| 4 | ChebyshevT:Std | AntiDiag | missing | 1 0 -1 1 0 0 1 -3 2 0 0 0 -1 5 -8 4 0 0 0 0 1 -7 18 -20 8 0 0 0 0 0 -1 9 -32 56 -48 16 0 0 0 0 0 0 | +| 5 | ChebyshevT:Std | Diffx1 | missing | 1 0 2 -1 0 6 0 -6 0 16 1 0 -24 0 40 0 10 0 -80 0 96 -1 0 54 0 -240 0 224 0 -14 0 224 0 -672 0 512 1 | +| 6 | ChebyshevT:Std | EvenSum | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | +| 7 | ChebyshevT:Std | OddSum | A000035 | 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 | +| 8 | ChebyshevT:Std | AccSum | A165900 | 1 1 -1 -5 -11 -19 -29 -41 -55 -71 -89 -109 -131 -155 -181 -209 -239 -271 -305 -341 -379 -419 -461 | +| 9 | ChebyshevT:Std | AccRevSum | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 10 | ChebyshevT:Std | RowLcm | missing | 1 1 2 12 8 80 288 448 1280 34560 89600 394240 1935360 5591040 66232320 851558400 1968046080 | +| 11 | ChebyshevT:Std | RowGcd | missing | 1 1 2 1 8 1 2 1 32 1 2 1 8 1 2 1 128 1 2 1 8 1 2 1 32 1 2 1 8 1 2 1 | +| 12 | ChebyshevT:Std | RowMax | missing | 1 1 2 4 8 20 48 112 256 576 1280 2816 6912 16640 39424 92160 212992 487424 1118208 2723840 6553600 | +| 13 | ChebyshevT:Std | ColMiddle | missing | 1 0 0 -3 -8 0 0 56 160 0 0 -1232 -3584 0 0 28800 84480 0 0 -695552 -2050048 0 0 17145856 50692096 0 | +| 14 | ChebyshevT:Std | CentralE | missing | 1 0 -8 0 160 0 -3584 0 84480 0 -2050048 0 50692096 0 -1270087680 0 | +| 15 | ChebyshevT:Std | CentralO | missing | 0 -3 0 56 0 -1232 0 28800 0 -695552 0 17145856 0 -428654592 0 10827497472 | +| 16 | ChebyshevT:Std | ColLeft | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | +| 17 | ChebyshevT:Std | ColRight | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 18 | ChebyshevT:Std | BinConv | missing | 1 1 1 -5 -39 -159 -419 -377 3265 23953 96361 242419 117417 -2625375 -17166603 -65567985 -151353855 | +| 19 | ChebyshevT:Std | InvBinConv | missing | 1 1 1 -5 -39 -159 -419 -377 3265 23953 96361 242419 117417 -2625375 -17166603 -65567985 -151353855 | +| 20 | ChebyshevT:Std | TransNat0 | A000290 | 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 | +| 21 | ChebyshevT:Std | TransNat1 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 22 | ChebyshevT:Std | TransSqrs | A014820 | 0 1 8 33 96 225 456 833 1408 2241 3400 4961 7008 9633 12936 17025 22016 28033 35208 43681 53600 | +| 23 | ChebyshevT:Std | PosHalf | A104537 | 1 1 -2 -8 -8 16 64 64 -128 -512 -512 1024 4096 4096 -8192 -32768 -32768 65536 262144 262144 -524288 | +| 24 | ChebyshevT:Std | NegHalf | A104537 | 1 1 -2 -8 -8 16 64 64 -128 -512 -512 1024 4096 4096 -8192 -32768 -32768 65536 262144 262144 -524288 | +| 25 | ChebyshevT:Std | DiagRow2 | A001792 | -1 -3 -8 -20 -48 -112 -256 -576 -1280 -2816 -6144 -13312 -28672 -61440 -131072 -278528 -589824 | +| 26 | ChebyshevT:Std | DiagCol1 | A193356 | 1 0 -3 0 5 0 -7 0 9 0 -11 0 13 0 -15 0 17 0 -19 0 21 0 -23 0 25 0 -27 0 29 0 -31 0 | +| 27 | ChebyshevT:Std | DiagCol2 | missing | 2 0 -8 0 18 0 -32 0 50 0 -72 0 98 0 -128 0 162 0 -200 0 242 0 -288 0 338 0 -392 0 450 0 -512 0 | +| 28 | ChebyshevT:Std | DiagCol3 | missing | 4 0 -20 0 56 0 -120 0 220 0 -364 0 560 0 -816 0 1140 0 -1540 0 2024 0 -2600 0 3276 0 -4060 0 4960 0 | +| 29 | ChebyshevT:Std | Poly | A101124 | 1 0 1 -1 1 1 0 1 2 1 1 1 7 3 1 0 1 26 17 4 1 -1 1 97 99 31 5 1 0 1 362 577 244 49 6 1 1 1 1351 3363 | +| 30 | ChebyshevT:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 31 | ChebyshevT:Std | PolyRow2 | A056220 | -1 1 7 17 31 49 71 97 127 161 199 241 287 337 391 449 511 577 647 721 799 881 967 1057 1151 1249 | +| 32 | ChebyshevT:Std | PolyRow3 | A144129 | 0 1 26 99 244 485 846 1351 2024 2889 3970 5291 6876 8749 10934 13455 16336 19601 23274 27379 31940 | +| 33 | ChebyshevT:Std | PolyCol2 | A001075 | 1 2 7 26 97 362 1351 5042 18817 70226 262087 978122 3650401 13623482 50843527 189750626 708158977 | +| 34 | ChebyshevT:Std | PolyCol3 | A001541 | 1 3 17 99 577 3363 19601 114243 665857 3880899 22619537 131836323 768398401 4478554083 26102926097 | +| 35 | ChebyshevT:Std | PolyDiag | A115066 | 1 1 7 99 1921 47525 1431431 50843527 2081028097 96450076809 4993116004999 285573847759211 | +| 36 | ChebyshevT:Alt | Triangle | A053120 | 1 0 -1 -1 0 2 0 3 0 -4 1 0 -8 0 8 0 -5 0 20 0 -16 -1 0 18 0 -48 0 32 0 7 0 -56 0 112 0 -64 1 0 -32 | +| 37 | ChebyshevT:Alt | Rev | A039991 | 1 -1 0 2 0 -1 -4 0 3 0 8 0 -8 0 1 -16 0 20 0 -5 0 32 0 -48 0 18 0 -1 -64 0 112 0 -56 0 7 0 128 0 | +| 38 | ChebyshevT:Alt | Acc | missing | 1 0 -1 -1 -1 1 0 3 3 -1 1 1 -7 -7 1 0 -5 -5 15 15 -1 -1 -1 17 17 -31 -31 1 0 7 7 -49 -49 63 63 -1 1 | +| 39 | ChebyshevT:Alt | AccRev | missing | 1 -1 -1 2 2 1 -4 -4 -1 -1 8 8 0 0 1 -16 -16 4 4 -1 -1 32 32 -16 -16 2 2 1 -64 -64 48 48 -8 -8 -1 -1 | +| 40 | ChebyshevT:Alt | AntiDiag | missing | 1 0 -1 -1 0 0 1 3 2 0 0 0 -1 -5 -8 -4 0 0 0 0 1 7 18 20 8 0 0 0 0 0 -1 -9 -32 -56 -48 -16 0 0 0 0 0 | +| 41 | ChebyshevT:Alt | Diffx1 | missing | 1 0 -2 -1 0 6 0 6 0 -16 1 0 -24 0 40 0 -10 0 80 0 -96 -1 0 54 0 -240 0 224 0 14 0 -224 0 672 0 -512 | +| 42 | ChebyshevT:Alt | EvenSum | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | +| 43 | ChebyshevT:Alt | OddSum | A000035 | 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 | +| 44 | ChebyshevT:Alt | DiagSum | missing | 1 0 -2 0 6 0 -18 0 54 0 -162 0 486 0 -1458 0 4374 0 -13122 0 39366 0 -118098 0 354294 0 -1062882 0 | +| 45 | ChebyshevT:Alt | AccSum | A165900 | 1 -1 -1 5 -11 19 -29 41 -55 71 -89 109 -131 155 -181 209 -239 271 -305 341 -379 419 -461 505 -551 | +| 46 | ChebyshevT:Alt | AccRevSum | A002522 | 1 -2 5 -10 17 -26 37 -50 65 -82 101 -122 145 -170 197 -226 257 -290 325 -362 401 -442 485 -530 577 | +| 47 | ChebyshevT:Alt | RowLcm | missing | 1 1 2 12 8 80 288 448 1280 34560 89600 394240 1935360 5591040 66232320 851558400 1968046080 | +| 48 | ChebyshevT:Alt | RowGcd | missing | 1 1 2 1 8 1 2 1 32 1 2 1 8 1 2 1 128 1 2 1 8 1 2 1 32 1 2 1 8 1 2 1 | +| 49 | ChebyshevT:Alt | RowMax | missing | 1 1 2 4 8 20 48 112 256 576 1280 2816 6912 16640 39424 92160 212992 487424 1118208 2723840 6553600 | +| 50 | ChebyshevT:Alt | ColMiddle | missing | 1 0 0 3 -8 0 0 -56 160 0 0 1232 -3584 0 0 -28800 84480 0 0 695552 -2050048 0 0 -17145856 50692096 0 | +| 51 | ChebyshevT:Alt | CentralE | missing | 1 0 -8 0 160 0 -3584 0 84480 0 -2050048 0 50692096 0 -1270087680 0 | +| 52 | ChebyshevT:Alt | CentralO | missing | 0 3 0 -56 0 1232 0 -28800 0 695552 0 -17145856 0 428654592 0 -10827497472 | +| 53 | ChebyshevT:Alt | ColLeft | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | +| 54 | ChebyshevT:Alt | ColRight | A011782 | 1 -1 2 -4 8 -16 32 -64 128 -256 512 -1024 2048 -4096 8192 -16384 32768 -65536 131072 -262144 524288 | +| 55 | ChebyshevT:Alt | BinConv | missing | 1 -1 1 5 -39 159 -419 377 3265 -23953 96361 -242419 117417 2625375 -17166603 65567985 -151353855 | +| 56 | ChebyshevT:Alt | InvBinConv | missing | 1 -1 1 5 -39 159 -419 377 3265 -23953 96361 -242419 117417 2625375 -17166603 65567985 -151353855 | +| 57 | ChebyshevT:Alt | TransNat0 | A000290 | 0 -1 4 -9 16 -25 36 -49 64 -81 100 -121 144 -169 196 -225 256 -289 324 -361 400 -441 484 -529 576 | +| 58 | ChebyshevT:Alt | TransNat1 | A002522 | 1 -2 5 -10 17 -26 37 -50 65 -82 101 -122 145 -170 197 -226 257 -290 325 -362 401 -442 485 -530 577 | +| 59 | ChebyshevT:Alt | TransSqrs | A014820 | 0 -1 8 -33 96 -225 456 -833 1408 -2241 3400 -4961 7008 -9633 12936 -17025 22016 -28033 35208 -43681 | +| 60 | ChebyshevT:Alt | PosHalf | A104537 | 1 -1 -2 8 -8 -16 64 -64 -128 512 -512 -1024 4096 -4096 -8192 32768 -32768 -65536 262144 -262144 | +| 61 | ChebyshevT:Alt | NegHalf | A104537 | 1 -1 -2 8 -8 -16 64 -64 -128 512 -512 -1024 4096 -4096 -8192 32768 -32768 -65536 262144 -262144 | +| 62 | ChebyshevT:Alt | DiagRow2 | A001792 | -1 3 -8 20 -48 112 -256 576 -1280 2816 -6144 13312 -28672 61440 -131072 278528 -589824 1245184 | +| 63 | ChebyshevT:Alt | DiagCol1 | A193356 | -1 0 3 0 -5 0 7 0 -9 0 11 0 -13 0 15 0 -17 0 19 0 -21 0 23 0 -25 0 27 0 -29 0 31 0 | +| 64 | ChebyshevT:Alt | DiagCol2 | missing | 2 0 -8 0 18 0 -32 0 50 0 -72 0 98 0 -128 0 162 0 -200 0 242 0 -288 0 338 0 -392 0 450 0 -512 0 | +| 65 | ChebyshevT:Alt | DiagCol3 | missing | -4 0 20 0 -56 0 120 0 -220 0 364 0 -560 0 816 0 -1140 0 1540 0 -2024 0 2600 0 -3276 0 4060 0 -4960 | +| 66 | ChebyshevT:Alt | Poly | A101124 | 1 0 1 -1 -1 1 0 1 -2 1 1 -1 7 -3 1 0 1 -26 17 -4 1 -1 -1 97 -99 31 -5 1 0 1 -362 577 -244 49 -6 1 1 | +| 67 | ChebyshevT:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 68 | ChebyshevT:Alt | PolyRow2 | A056220 | -1 1 7 17 31 49 71 97 127 161 199 241 287 337 391 449 511 577 647 721 799 881 967 1057 1151 1249 | +| 69 | ChebyshevT:Alt | PolyRow3 | A144129 | 0 -1 -26 -99 -244 -485 -846 -1351 -2024 -2889 -3970 -5291 -6876 -8749 -10934 -13455 -16336 -19601 | +| 70 | ChebyshevT:Alt | PolyCol2 | A001075 | 1 -2 7 -26 97 -362 1351 -5042 18817 -70226 262087 -978122 3650401 -13623482 50843527 -189750626 | +| 71 | ChebyshevT:Alt | PolyCol3 | A001541 | 1 -3 17 -99 577 -3363 19601 -114243 665857 -3880899 22619537 -131836323 768398401 -4478554083 | +| 72 | ChebyshevT:Alt | PolyDiag | A115066 | 1 -1 7 -99 1921 -47525 1431431 -50843527 2081028097 -96450076809 4993116004999 -285573847759211 | +| 73 | ChebyshevT:Rev | Triangle | A039991 | 1 1 0 2 0 -1 4 0 -3 0 8 0 -8 0 1 16 0 -20 0 5 0 32 0 -48 0 18 0 -1 64 0 -112 0 56 0 -7 0 128 0 -256 | +| 74 | ChebyshevT:Rev | Acc | missing | 1 1 1 2 2 1 4 4 1 1 8 8 0 0 1 16 16 -4 -4 1 1 32 32 -16 -16 2 2 1 64 64 -48 -48 8 8 1 1 128 128 | +| 75 | ChebyshevT:Rev | AccRev | missing | 1 0 1 -1 -1 1 0 -3 -3 1 1 1 -7 -7 1 0 5 5 -15 -15 1 -1 -1 17 17 -31 -31 1 0 -7 -7 49 49 -63 -63 1 1 | +| 76 | ChebyshevT:Rev | AntiDiag | missing | 1 1 2 0 4 0 8 0 -1 16 0 -3 32 0 -8 0 64 0 -20 0 128 0 -48 0 1 256 0 -112 0 5 512 0 -256 0 18 0 1024 | +| 77 | ChebyshevT:Rev | Diffx1 | missing | 1 1 0 2 0 -3 4 0 -9 0 8 0 -24 0 5 16 0 -60 0 25 0 32 0 -144 0 90 0 -7 64 0 -336 0 280 0 -49 0 128 0 | +| 78 | ChebyshevT:Rev | DiagSum | B000073 | 1 1 2 4 7 13 24 44 81 149 274 504 927 1705 3136 5768 10609 19513 35890 66012 121415 223317 410744 | +| 79 | ChebyshevT:Rev | AccSum | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 80 | ChebyshevT:Rev | AccRevSum | A165900 | 1 1 -1 -5 -11 -19 -29 -41 -55 -71 -89 -109 -131 -155 -181 -209 -239 -271 -305 -341 -379 -419 -461 | +| 81 | ChebyshevT:Rev | RowLcm | missing | 1 1 2 12 8 80 288 448 1280 34560 89600 394240 1935360 5591040 66232320 851558400 1968046080 | +| 82 | ChebyshevT:Rev | RowGcd | missing | 1 1 2 1 8 1 2 1 32 1 2 1 8 1 2 1 128 1 2 1 8 1 2 1 32 1 2 1 8 1 2 1 | +| 83 | ChebyshevT:Rev | RowMax | missing | 1 1 2 4 8 20 48 112 256 576 1280 2816 6912 16640 39424 92160 212992 487424 1118208 2723840 6553600 | +| 84 | ChebyshevT:Rev | ColMiddle | missing | 1 1 0 0 -8 -20 0 0 160 432 0 0 -3584 -9984 0 0 84480 239360 0 0 -2050048 -5870592 0 0 50692096 | +| 85 | ChebyshevT:Rev | CentralE | missing | 1 0 -8 0 160 0 -3584 0 84480 0 -2050048 0 50692096 0 -1270087680 0 | +| 86 | ChebyshevT:Rev | CentralO | missing | 1 0 -20 0 432 0 -9984 0 239360 0 -5870592 0 146227200 0 -3683254272 0 | +| 87 | ChebyshevT:Rev | ColLeft | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 88 | ChebyshevT:Rev | ColRight | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | +| 89 | ChebyshevT:Rev | BinConv | missing | 1 1 1 -5 -39 -159 -419 -377 3265 23953 96361 242419 117417 -2625375 -17166603 -65567985 -151353855 | +| 90 | ChebyshevT:Rev | InvBinConv | missing | 1 -1 1 5 -39 159 -419 377 3265 -23953 96361 -242419 117417 2625375 -17166603 65567985 -151353855 | +| 91 | ChebyshevT:Rev | TransNat0 | A279019 | 0 0 -2 -6 -12 -20 -30 -42 -56 -72 -90 -110 -132 -156 -182 -210 -240 -272 -306 -342 -380 -420 -462 | +| 92 | ChebyshevT:Rev | TransNat1 | A165900 | 1 1 -1 -5 -11 -19 -29 -41 -55 -71 -89 -109 -131 -155 -181 -209 -239 -271 -305 -341 -379 -419 -461 | +| 93 | ChebyshevT:Rev | TransSqrs | missing | 0 0 -4 -12 -16 0 60 196 448 864 1500 2420 3696 5408 7644 10500 14080 18496 23868 30324 38000 47040 | +| 94 | ChebyshevT:Rev | PosHalf | A001075 | 1 2 7 26 97 362 1351 5042 18817 70226 262087 978122 3650401 13623482 50843527 189750626 708158977 | +| 95 | ChebyshevT:Rev | NegHalf | A001075 | 1 -2 7 -26 97 -362 1351 -5042 18817 -70226 262087 -978122 3650401 -13623482 50843527 -189750626 | +| 96 | ChebyshevT:Rev | DiagRow1 | A193356 | 1 0 -3 0 5 0 -7 0 9 0 -11 0 13 0 -15 0 17 0 -19 0 21 0 -23 0 25 0 -27 0 29 0 -31 0 | +| 97 | ChebyshevT:Rev | DiagRow2 | missing | 2 0 -8 0 18 0 -32 0 50 0 -72 0 98 0 -128 0 162 0 -200 0 242 0 -288 0 338 0 -392 0 450 0 -512 0 | +| 98 | ChebyshevT:Rev | DiagRow3 | missing | 4 0 -20 0 56 0 -120 0 220 0 -364 0 560 0 -816 0 1140 0 -1540 0 2024 0 -2600 0 3276 0 -4060 0 4960 0 | +| 99 | ChebyshevT:Rev | DiagCol2 | A001792 | -1 -3 -8 -20 -48 -112 -256 -576 -1280 -2816 -6144 -13312 -28672 -61440 -131072 -278528 -589824 | +| 100 | ChebyshevT:Rev | Poly | missing | 1 1 1 2 1 1 4 1 1 1 8 1 -2 1 1 16 1 -8 -7 1 1 32 1 -8 -23 -14 1 1 64 1 16 17 -44 -23 1 1 128 1 64 | +| 101 | ChebyshevT:Rev | PolyRow2 | A008865 | 2 1 -2 -7 -14 -23 -34 -47 -62 -79 -98 -119 -142 -167 -194 -223 -254 -287 -322 -359 -398 -439 -482 | +| 102 | ChebyshevT:Rev | PolyRow3 | missing | 4 1 -8 -23 -44 -71 -104 -143 -188 -239 -296 -359 -428 -503 -584 -671 -764 -863 -968 -1079 -1196 | +| 103 | ChebyshevT:Rev | PolyCol2 | A104537 | 1 1 -2 -8 -8 16 64 64 -128 -512 -512 1024 4096 4096 -8192 -32768 -32768 65536 262144 262144 -524288 | +| 104 | ChebyshevT:Rev | PolyCol3 | A025172 | 1 1 -7 -23 17 241 329 -1511 -5983 1633 57113 99529 -314959 -1525679 -216727 13297657 28545857 | +| 105 | ChebyshevT:Rev | PolyDiag | missing | 1 1 -2 -23 136 2641 -25024 -694511 9027712 326435521 -5388927488 -240294390599 4808675526656 | \ No newline at end of file diff --git a/data/md/ChebyshevU.md b/data/md/ChebyshevU.md index 4f21c19..4afbeea 100644 --- a/data/md/ChebyshevU.md +++ b/data/md/ChebyshevU.md @@ -1,78 +1,117 @@ -| | triangle | trait | anum | seq | -|---:|:---------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | ChebyshevU:Std | Triangle | A053117 | 1 0 2 -1 0 4 0 -4 0 8 1 0 -12 0 16 0 6 0 -32 0 32 -1 0 24 0 -80 0 64 0 -8 0 80 0 -192 0 128 1 0 -40 | -| 1 | ChebyshevU:Std | Rev | A053118 | 1 2 0 4 0 -1 8 0 -4 0 16 0 -12 0 1 32 0 -32 0 6 0 64 0 -80 0 24 0 -1 128 0 -192 0 80 0 -8 0 256 0 | -| 2 | ChebyshevU:Std | Acc | missing | 1 0 2 -1 -1 3 0 -4 -4 4 1 1 -11 -11 5 0 6 6 -26 -26 6 -1 -1 23 23 -57 -57 7 0 -8 -8 72 72 -120 -120 | -| 3 | ChebyshevU:Std | AccRev | missing | 1 2 2 4 4 3 8 8 4 4 16 16 4 4 5 32 32 0 0 6 6 64 64 -16 -16 8 8 7 128 128 -64 -64 16 16 8 8 256 256 | -| 4 | ChebyshevU:Std | AntiDiag | missing | 1 0 -1 2 0 0 1 -4 4 0 0 0 -1 6 -12 8 0 0 0 0 1 -8 24 -32 16 0 0 0 0 0 -1 10 -40 80 -80 32 0 0 0 0 0 | -| 5 | ChebyshevU:Std | Diffx1 | missing | 1 0 4 -1 0 12 0 -8 0 32 1 0 -36 0 80 0 12 0 -128 0 192 -1 0 72 0 -400 0 448 0 -16 0 320 0 -1152 0 | -| 6 | ChebyshevU:Std | RowSum | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 7 | ChebyshevU:Std | EvenSum | A193356 | 1 0 3 0 5 0 7 0 9 0 11 0 13 0 15 0 17 0 19 0 21 0 23 0 25 0 27 0 29 0 31 0 | -| 8 | ChebyshevU:Std | OddSum | B237420 | 0 2 0 4 0 6 0 8 0 10 0 12 0 14 0 16 0 18 0 20 0 22 0 24 0 26 0 28 0 30 0 32 | -| 9 | ChebyshevU:Std | AltSum | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | -| 10 | ChebyshevU:Std | DiagSum | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | -| 11 | ChebyshevU:Std | AccSum | missing | 1 2 1 -4 -15 -34 -63 -104 -159 -230 -319 -428 -559 -714 -895 -1104 -1343 -1614 -1919 -2260 -2639 | -| 12 | ChebyshevU:Std | AccRevSum | A167875 | 1 4 11 24 45 76 119 176 249 340 451 584 741 924 1135 1376 1649 1956 2299 2680 3101 3564 4071 4624 | -| 13 | ChebyshevU:Std | RowLcm | missing | 1 2 4 8 48 96 960 1920 26880 107520 322560 645120 14192640 28385280 738017280 1476034560 2952069120 | -| 14 | ChebyshevU:Std | RowGcd | missing | 1 2 4 4 4 2 8 8 8 2 4 4 4 2 16 16 16 2 4 4 4 2 8 8 8 2 4 4 4 2 32 32 | -| 15 | ChebyshevU:Std | RowMax | missing | 1 2 4 8 16 32 80 192 448 1024 2304 5120 11520 28160 67584 159744 372736 860160 1966080 4587520 | -| 16 | ChebyshevU:Std | ColMiddle | missing | 1 0 0 -4 -12 0 0 80 240 0 0 -1792 -5376 0 0 42240 126720 0 0 -1025024 -3075072 0 0 25346048 | -| 17 | ChebyshevU:Std | CentralE | missing | 1 0 -12 0 240 0 -5376 0 126720 0 -3075072 0 76038144 0 -1905131520 0 | -| 18 | ChebyshevU:Std | CentralO | missing | 0 -4 0 80 0 -1792 0 42240 0 -1025024 0 25346048 0 -635043840 0 16066609152 | -| 19 | ChebyshevU:Std | ColLeft | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | -| 20 | ChebyshevU:Std | ColRight | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 21 | ChebyshevU:Std | BinConv | missing | 1 2 3 -4 -55 -258 -777 -1160 3393 34970 158763 459252 544505 -3070858 -25671825 -109818384 | -| 22 | ChebyshevU:Std | InvBinConv | missing | 1 2 3 -4 -55 -258 -777 -1160 3393 34970 158763 459252 544505 -3070858 -25671825 -109818384 | -| 23 | ChebyshevU:Std | TransNat0 | B007290 | 0 2 8 20 40 70 112 168 240 330 440 572 728 910 1120 1360 1632 1938 2280 2660 3080 3542 4048 4600 | -| 24 | ChebyshevU:Std | TransNat1 | A167875 | 1 4 11 24 45 76 119 176 249 340 451 584 741 924 1135 1376 1649 1956 2299 2680 3101 3564 4071 4624 | -| 25 | ChebyshevU:Std | TransSqrs | missing | 0 2 16 68 208 518 1120 2184 3936 6666 10736 16588 24752 35854 50624 69904 94656 125970 165072 | -| 26 | ChebyshevU:Std | PosHalf | B088138 | 1 2 0 -8 -16 0 64 128 0 -512 -1024 0 4096 8192 0 -32768 -65536 0 262144 524288 0 -2097152 -4194304 | -| 27 | ChebyshevU:Std | NegHalf | B088138 | 1 2 0 -8 -16 0 64 128 0 -512 -1024 0 4096 8192 0 -32768 -65536 0 262144 524288 0 -2097152 -4194304 | -| 28 | ChebyshevU:Std | DiagRow2 | B001787 | -1 -4 -12 -32 -80 -192 -448 -1024 -2304 -5120 -11264 -24576 -53248 -114688 -245760 -524288 -1114112 | -| 29 | ChebyshevU:Std | DiagCol1 | B237420 | 2 0 -4 0 6 0 -8 0 10 0 -12 0 14 0 -16 0 18 0 -20 0 22 0 -24 0 26 0 -28 0 30 0 -32 0 | -| 30 | ChebyshevU:Std | DiagCol2 | missing | 4 0 -12 0 24 0 -40 0 60 0 -84 0 112 0 -144 0 180 0 -220 0 264 0 -312 0 364 0 -420 0 480 0 -544 0 | -| 31 | ChebyshevU:Std | DiagCol3 | missing | 8 0 -32 0 80 0 -160 0 280 0 -448 0 672 0 -960 0 1320 0 -1760 0 2288 0 -2912 0 3640 0 -4480 0 5440 0 | -| 32 | ChebyshevU:Std | Poly | A228161 | 1 0 1 -1 2 1 0 3 4 1 1 4 15 6 1 0 5 56 35 8 1 -1 6 209 204 63 10 1 0 7 780 1189 496 99 12 1 1 8 | -| 33 | ChebyshevU:Std | PolyRow1 | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 | -| 34 | ChebyshevU:Std | PolyRow2 | A000466 | -1 3 15 35 63 99 143 195 255 323 399 483 575 675 783 899 1023 1155 1295 1443 1599 1763 1935 2115 | -| 35 | ChebyshevU:Std | PolyRow3 | A144138 | 0 4 56 204 496 980 1704 2716 4064 5796 7960 10604 13776 17524 21896 26940 32704 39236 46584 54796 | -| 36 | ChebyshevU:Std | PolyCol2 | A125905 | 1 4 15 56 209 780 2911 10864 40545 151316 564719 2107560 7865521 29354524 109552575 408855776 | -| 37 | ChebyshevU:Std | PolyCol3 | B001109 | 1 6 35 204 1189 6930 40391 235416 1372105 7997214 46611179 271669860 1583407981 9228778026 | -| 38 | ChebyshevU:Std | PolyDiag | A323118 | 1 2 15 204 3905 96030 2883167 102213944 4178507265 193501094490 10011386405999 572335117886532 | -| 39 | ChebyshevU:Rev | Triangle | A053118 | 1 2 0 4 0 -1 8 0 -4 0 16 0 -12 0 1 32 0 -32 0 6 0 64 0 -80 0 24 0 -1 128 0 -192 0 80 0 -8 0 256 0 | -| 40 | ChebyshevU:Rev | Acc | missing | 1 2 2 4 4 3 8 8 4 4 16 16 4 4 5 32 32 0 0 6 6 64 64 -16 -16 8 8 7 128 128 -64 -64 16 16 8 8 256 256 | -| 41 | ChebyshevU:Rev | AccRev | missing | 1 0 2 -1 -1 3 0 -4 -4 4 1 1 -11 -11 5 0 6 6 -26 -26 6 -1 -1 23 23 -57 -57 7 0 -8 -8 72 72 -120 -120 | -| 42 | ChebyshevU:Rev | AntiDiag | missing | 1 2 4 0 8 0 16 0 -1 32 0 -4 64 0 -12 0 128 0 -32 0 256 0 -80 0 1 512 0 -192 0 6 1024 0 -448 0 24 0 | -| 43 | ChebyshevU:Rev | Diffx1 | missing | 1 2 0 4 0 -3 8 0 -12 0 16 0 -36 0 5 32 0 -96 0 30 0 64 0 -240 0 120 0 -7 128 0 -576 0 400 0 -56 0 | -| 44 | ChebyshevU:Rev | RowSum | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 45 | ChebyshevU:Rev | EvenSum | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 46 | ChebyshevU:Rev | AltSum | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 47 | ChebyshevU:Rev | DiagSum | B008937 | 1 2 4 8 15 28 52 96 177 326 600 1104 2031 3736 6872 12640 23249 42762 78652 144664 266079 489396 | -| 48 | ChebyshevU:Rev | AccSum | A167875 | 1 4 11 24 45 76 119 176 249 340 451 584 741 924 1135 1376 1649 1956 2299 2680 3101 3564 4071 4624 | -| 49 | ChebyshevU:Rev | AccRevSum | missing | 1 2 1 -4 -15 -34 -63 -104 -159 -230 -319 -428 -559 -714 -895 -1104 -1343 -1614 -1919 -2260 -2639 | -| 50 | ChebyshevU:Rev | RowLcm | missing | 1 2 4 8 48 96 960 1920 26880 107520 322560 645120 14192640 28385280 738017280 1476034560 2952069120 | -| 51 | ChebyshevU:Rev | RowGcd | missing | 1 2 4 4 4 2 8 8 8 2 4 4 4 2 16 16 16 2 4 4 4 2 8 8 8 2 4 4 4 2 32 32 | -| 52 | ChebyshevU:Rev | RowMax | missing | 1 2 4 8 16 32 80 192 448 1024 2304 5120 11520 28160 67584 159744 372736 860160 1966080 4587520 | -| 53 | ChebyshevU:Rev | ColMiddle | missing | 1 2 0 0 -12 -32 0 0 240 672 0 0 -5376 -15360 0 0 126720 366080 0 0 -3075072 -8945664 0 0 76038144 | -| 54 | ChebyshevU:Rev | CentralE | missing | 1 0 -12 0 240 0 -5376 0 126720 0 -3075072 0 76038144 0 -1905131520 0 | -| 55 | ChebyshevU:Rev | CentralO | missing | 2 0 -32 0 672 0 -15360 0 366080 0 -8945664 0 222265344 0 -5588385792 0 | -| 56 | ChebyshevU:Rev | ColLeft | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 57 | ChebyshevU:Rev | ColRight | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | -| 58 | ChebyshevU:Rev | BinConv | missing | 1 2 3 -4 -55 -258 -777 -1160 3393 34970 158763 459252 544505 -3070858 -25671825 -109818384 | -| 59 | ChebyshevU:Rev | InvBinConv | missing | 1 -2 3 4 -55 258 -777 1160 3393 -34970 158763 -459252 544505 3070858 -25671825 109818384 -296097279 | -| 60 | ChebyshevU:Rev | TransNat0 | B007290 | 0 0 -2 -8 -20 -40 -70 -112 -168 -240 -330 -440 -572 -728 -910 -1120 -1360 -1632 -1938 -2280 -2660 | -| 61 | ChebyshevU:Rev | TransNat1 | missing | 1 2 1 -4 -15 -34 -63 -104 -159 -230 -319 -428 -559 -714 -895 -1104 -1343 -1614 -1919 -2260 -2639 | -| 62 | ChebyshevU:Rev | TransSqrs | missing | 0 0 -4 -16 -32 -32 28 224 672 1536 3036 5456 9152 14560 22204 32704 46784 65280 89148 119472 157472 | -| 63 | ChebyshevU:Rev | PosHalf | A125905 | 1 4 15 56 209 780 2911 10864 40545 151316 564719 2107560 7865521 29354524 109552575 408855776 | -| 64 | ChebyshevU:Rev | NegHalf | A125905 | 1 -4 15 -56 209 -780 2911 -10864 40545 -151316 564719 -2107560 7865521 -29354524 109552575 | -| 65 | ChebyshevU:Rev | DiagRow1 | B237420 | 2 0 -4 0 6 0 -8 0 10 0 -12 0 14 0 -16 0 18 0 -20 0 22 0 -24 0 26 0 -28 0 30 0 -32 0 | -| 66 | ChebyshevU:Rev | DiagRow2 | missing | 4 0 -12 0 24 0 -40 0 60 0 -84 0 112 0 -144 0 180 0 -220 0 264 0 -312 0 364 0 -420 0 480 0 -544 0 | -| 67 | ChebyshevU:Rev | DiagRow3 | missing | 8 0 -32 0 80 0 -160 0 280 0 -448 0 672 0 -960 0 1320 0 -1760 0 2288 0 -2912 0 3640 0 -4480 0 5440 0 | -| 68 | ChebyshevU:Rev | DiagCol2 | B001787 | -1 -4 -12 -32 -80 -192 -448 -1024 -2304 -5120 -11264 -24576 -53248 -114688 -245760 -524288 -1114112 | -| 69 | ChebyshevU:Rev | Poly | missing | 1 2 1 4 2 1 8 3 2 1 16 4 0 2 1 32 5 -8 -5 2 1 64 6 -16 -28 -12 2 1 128 7 0 -11 -56 -21 2 1 256 8 64 | -| 70 | ChebyshevU:Rev | PolyRow1 | A007395 | 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | -| 71 | ChebyshevU:Rev | PolyRow2 | B028347 | 4 3 0 -5 -12 -21 -32 -45 -60 -77 -96 -117 -140 -165 -192 -221 -252 -285 -320 -357 -396 -437 -480 | -| 72 | ChebyshevU:Rev | PolyRow3 | missing | 8 4 -8 -28 -56 -92 -136 -188 -248 -316 -392 -476 -568 -668 -776 -892 -1016 -1148 -1288 -1436 -1592 | -| 73 | ChebyshevU:Rev | PolyCol2 | B088138 | 1 2 0 -8 -16 0 64 128 0 -512 -1024 0 4096 8192 0 -32768 -65536 0 262144 524288 0 -2097152 -4194304 | -| 74 | ChebyshevU:Rev | PolyCol3 | A025170 | 1 2 -5 -28 -11 230 559 -952 -6935 -5302 51811 151340 -163619 -1689298 -1906025 11391632 39937489 | -| 75 | ChebyshevU:Rev | PolyDiag | missing | 1 2 0 -28 80 2982 -18368 -758392 7246080 349763210 -4542309376 -254336397588 4180805963776 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:---------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | ChebyshevU:Std | Triangle | A053117 | 1 0 2 -1 0 4 0 -4 0 8 1 0 -12 0 16 0 6 0 -32 0 32 -1 0 24 0 -80 0 64 0 -8 0 80 0 -192 0 128 1 0 -40 | +| 1 | ChebyshevU:Std | Rev | A053118 | 1 2 0 4 0 -1 8 0 -4 0 16 0 -12 0 1 32 0 -32 0 6 0 64 0 -80 0 24 0 -1 128 0 -192 0 80 0 -8 0 256 0 | +| 2 | ChebyshevU:Std | Acc | missing | 1 0 2 -1 -1 3 0 -4 -4 4 1 1 -11 -11 5 0 6 6 -26 -26 6 -1 -1 23 23 -57 -57 7 0 -8 -8 72 72 -120 -120 | +| 3 | ChebyshevU:Std | AccRev | missing | 1 2 2 4 4 3 8 8 4 4 16 16 4 4 5 32 32 0 0 6 6 64 64 -16 -16 8 8 7 128 128 -64 -64 16 16 8 8 256 256 | +| 4 | ChebyshevU:Std | AntiDiag | missing | 1 0 -1 2 0 0 1 -4 4 0 0 0 -1 6 -12 8 0 0 0 0 1 -8 24 -32 16 0 0 0 0 0 -1 10 -40 80 -80 32 0 0 0 0 0 | +| 5 | ChebyshevU:Std | Diffx1 | missing | 1 0 4 -1 0 12 0 -8 0 32 1 0 -36 0 80 0 12 0 -128 0 192 -1 0 72 0 -400 0 448 0 -16 0 320 0 -1152 0 | +| 6 | ChebyshevU:Std | RowSum | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 7 | ChebyshevU:Std | EvenSum | A193356 | 1 0 3 0 5 0 7 0 9 0 11 0 13 0 15 0 17 0 19 0 21 0 23 0 25 0 27 0 29 0 31 0 | +| 8 | ChebyshevU:Std | OddSum | B237420 | 0 2 0 4 0 6 0 8 0 10 0 12 0 14 0 16 0 18 0 20 0 22 0 24 0 26 0 28 0 30 0 32 | +| 9 | ChebyshevU:Std | AltSum | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 10 | ChebyshevU:Std | DiagSum | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | +| 11 | ChebyshevU:Std | AccSum | missing | 1 2 1 -4 -15 -34 -63 -104 -159 -230 -319 -428 -559 -714 -895 -1104 -1343 -1614 -1919 -2260 -2639 | +| 12 | ChebyshevU:Std | AccRevSum | A167875 | 1 4 11 24 45 76 119 176 249 340 451 584 741 924 1135 1376 1649 1956 2299 2680 3101 3564 4071 4624 | +| 13 | ChebyshevU:Std | RowLcm | missing | 1 2 4 8 48 96 960 1920 26880 107520 322560 645120 14192640 28385280 738017280 1476034560 2952069120 | +| 14 | ChebyshevU:Std | RowGcd | missing | 1 2 4 4 4 2 8 8 8 2 4 4 4 2 16 16 16 2 4 4 4 2 8 8 8 2 4 4 4 2 32 32 | +| 15 | ChebyshevU:Std | RowMax | missing | 1 2 4 8 16 32 80 192 448 1024 2304 5120 11520 28160 67584 159744 372736 860160 1966080 4587520 | +| 16 | ChebyshevU:Std | ColMiddle | missing | 1 0 0 -4 -12 0 0 80 240 0 0 -1792 -5376 0 0 42240 126720 0 0 -1025024 -3075072 0 0 25346048 | +| 17 | ChebyshevU:Std | CentralE | missing | 1 0 -12 0 240 0 -5376 0 126720 0 -3075072 0 76038144 0 -1905131520 0 | +| 18 | ChebyshevU:Std | CentralO | missing | 0 -4 0 80 0 -1792 0 42240 0 -1025024 0 25346048 0 -635043840 0 16066609152 | +| 19 | ChebyshevU:Std | ColLeft | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | +| 20 | ChebyshevU:Std | ColRight | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 21 | ChebyshevU:Std | BinConv | missing | 1 2 3 -4 -55 -258 -777 -1160 3393 34970 158763 459252 544505 -3070858 -25671825 -109818384 | +| 22 | ChebyshevU:Std | InvBinConv | missing | 1 2 3 -4 -55 -258 -777 -1160 3393 34970 158763 459252 544505 -3070858 -25671825 -109818384 | +| 23 | ChebyshevU:Std | TransNat0 | B007290 | 0 2 8 20 40 70 112 168 240 330 440 572 728 910 1120 1360 1632 1938 2280 2660 3080 3542 4048 4600 | +| 24 | ChebyshevU:Std | TransNat1 | A167875 | 1 4 11 24 45 76 119 176 249 340 451 584 741 924 1135 1376 1649 1956 2299 2680 3101 3564 4071 4624 | +| 25 | ChebyshevU:Std | TransSqrs | missing | 0 2 16 68 208 518 1120 2184 3936 6666 10736 16588 24752 35854 50624 69904 94656 125970 165072 | +| 26 | ChebyshevU:Std | PosHalf | B088138 | 1 2 0 -8 -16 0 64 128 0 -512 -1024 0 4096 8192 0 -32768 -65536 0 262144 524288 0 -2097152 -4194304 | +| 27 | ChebyshevU:Std | NegHalf | B088138 | 1 2 0 -8 -16 0 64 128 0 -512 -1024 0 4096 8192 0 -32768 -65536 0 262144 524288 0 -2097152 -4194304 | +| 28 | ChebyshevU:Std | DiagRow2 | B001787 | -1 -4 -12 -32 -80 -192 -448 -1024 -2304 -5120 -11264 -24576 -53248 -114688 -245760 -524288 -1114112 | +| 29 | ChebyshevU:Std | DiagCol1 | B237420 | 2 0 -4 0 6 0 -8 0 10 0 -12 0 14 0 -16 0 18 0 -20 0 22 0 -24 0 26 0 -28 0 30 0 -32 0 | +| 30 | ChebyshevU:Std | DiagCol2 | missing | 4 0 -12 0 24 0 -40 0 60 0 -84 0 112 0 -144 0 180 0 -220 0 264 0 -312 0 364 0 -420 0 480 0 -544 0 | +| 31 | ChebyshevU:Std | DiagCol3 | missing | 8 0 -32 0 80 0 -160 0 280 0 -448 0 672 0 -960 0 1320 0 -1760 0 2288 0 -2912 0 3640 0 -4480 0 5440 0 | +| 32 | ChebyshevU:Std | Poly | A228161 | 1 0 1 -1 2 1 0 3 4 1 1 4 15 6 1 0 5 56 35 8 1 -1 6 209 204 63 10 1 0 7 780 1189 496 99 12 1 1 8 | +| 33 | ChebyshevU:Std | PolyRow1 | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 | +| 34 | ChebyshevU:Std | PolyRow2 | A000466 | -1 3 15 35 63 99 143 195 255 323 399 483 575 675 783 899 1023 1155 1295 1443 1599 1763 1935 2115 | +| 35 | ChebyshevU:Std | PolyRow3 | A144138 | 0 4 56 204 496 980 1704 2716 4064 5796 7960 10604 13776 17524 21896 26940 32704 39236 46584 54796 | +| 36 | ChebyshevU:Std | PolyCol2 | A125905 | 1 4 15 56 209 780 2911 10864 40545 151316 564719 2107560 7865521 29354524 109552575 408855776 | +| 37 | ChebyshevU:Std | PolyCol3 | B001109 | 1 6 35 204 1189 6930 40391 235416 1372105 7997214 46611179 271669860 1583407981 9228778026 | +| 38 | ChebyshevU:Std | PolyDiag | A323118 | 1 2 15 204 3905 96030 2883167 102213944 4178507265 193501094490 10011386405999 572335117886532 | +| 39 | ChebyshevU:Alt | Triangle | A053117 | 1 0 -2 -1 0 4 0 4 0 -8 1 0 -12 0 16 0 -6 0 32 0 -32 -1 0 24 0 -80 0 64 0 8 0 -80 0 192 0 -128 1 0 | +| 40 | ChebyshevU:Alt | Rev | A053118 | 1 -2 0 4 0 -1 -8 0 4 0 16 0 -12 0 1 -32 0 32 0 -6 0 64 0 -80 0 24 0 -1 -128 0 192 0 -80 0 8 0 256 0 | +| 41 | ChebyshevU:Alt | Acc | missing | 1 0 -2 -1 -1 3 0 4 4 -4 1 1 -11 -11 5 0 -6 -6 26 26 -6 -1 -1 23 23 -57 -57 7 0 8 8 -72 -72 120 120 | +| 42 | ChebyshevU:Alt | AccRev | missing | 1 -2 -2 4 4 3 -8 -8 -4 -4 16 16 4 4 5 -32 -32 0 0 -6 -6 64 64 -16 -16 8 8 7 -128 -128 64 64 -16 -16 | +| 43 | ChebyshevU:Alt | AntiDiag | missing | 1 0 -1 -2 0 0 1 4 4 0 0 0 -1 -6 -12 -8 0 0 0 0 1 8 24 32 16 0 0 0 0 0 -1 -10 -40 -80 -80 -32 0 0 0 | +| 44 | ChebyshevU:Alt | Diffx1 | missing | 1 0 -4 -1 0 12 0 8 0 -32 1 0 -36 0 80 0 -12 0 128 0 -192 -1 0 72 0 -400 0 448 0 16 0 -320 0 1152 0 | +| 45 | ChebyshevU:Alt | RowSum | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 46 | ChebyshevU:Alt | EvenSum | A193356 | 1 0 3 0 5 0 7 0 9 0 11 0 13 0 15 0 17 0 19 0 21 0 23 0 25 0 27 0 29 0 31 0 | +| 47 | ChebyshevU:Alt | OddSum | B237420 | 0 -2 0 -4 0 -6 0 -8 0 -10 0 -12 0 -14 0 -16 0 -18 0 -20 0 -22 0 -24 0 -26 0 -28 0 -30 0 -32 | +| 48 | ChebyshevU:Alt | AltSum | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 49 | ChebyshevU:Alt | DiagSum | A254006 | 1 0 -3 0 9 0 -27 0 81 0 -243 0 729 0 -2187 0 6561 0 -19683 0 59049 0 -177147 0 531441 0 -1594323 0 | +| 50 | ChebyshevU:Alt | AccSum | missing | 1 -2 1 4 -15 34 -63 104 -159 230 -319 428 -559 714 -895 1104 -1343 1614 -1919 2260 -2639 3058 -3519 | +| 51 | ChebyshevU:Alt | AccRevSum | A167875 | 1 -4 11 -24 45 -76 119 -176 249 -340 451 -584 741 -924 1135 -1376 1649 -1956 2299 -2680 3101 -3564 | +| 52 | ChebyshevU:Alt | RowLcm | missing | 1 2 4 8 48 96 960 1920 26880 107520 322560 645120 14192640 28385280 738017280 1476034560 2952069120 | +| 53 | ChebyshevU:Alt | RowGcd | missing | 1 2 4 4 4 2 8 8 8 2 4 4 4 2 16 16 16 2 4 4 4 2 8 8 8 2 4 4 4 2 32 32 | +| 54 | ChebyshevU:Alt | RowMax | missing | 1 2 4 8 16 32 80 192 448 1024 2304 5120 11520 28160 67584 159744 372736 860160 1966080 4587520 | +| 55 | ChebyshevU:Alt | ColMiddle | missing | 1 0 0 4 -12 0 0 -80 240 0 0 1792 -5376 0 0 -42240 126720 0 0 1025024 -3075072 0 0 -25346048 | +| 56 | ChebyshevU:Alt | CentralE | missing | 1 0 -12 0 240 0 -5376 0 126720 0 -3075072 0 76038144 0 -1905131520 0 | +| 57 | ChebyshevU:Alt | CentralO | missing | 0 4 0 -80 0 1792 0 -42240 0 1025024 0 -25346048 0 635043840 0 -16066609152 | +| 58 | ChebyshevU:Alt | ColLeft | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | +| 59 | ChebyshevU:Alt | ColRight | A000079 | 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 -524288 | +| 60 | ChebyshevU:Alt | BinConv | missing | 1 -2 3 4 -55 258 -777 1160 3393 -34970 158763 -459252 544505 3070858 -25671825 109818384 -296097279 | +| 61 | ChebyshevU:Alt | InvBinConv | missing | 1 -2 3 4 -55 258 -777 1160 3393 -34970 158763 -459252 544505 3070858 -25671825 109818384 -296097279 | +| 62 | ChebyshevU:Alt | TransNat0 | B007290 | 0 -2 8 -20 40 -70 112 -168 240 -330 440 -572 728 -910 1120 -1360 1632 -1938 2280 -2660 3080 -3542 | +| 63 | ChebyshevU:Alt | TransNat1 | A167875 | 1 -4 11 -24 45 -76 119 -176 249 -340 451 -584 741 -924 1135 -1376 1649 -1956 2299 -2680 3101 -3564 | +| 64 | ChebyshevU:Alt | TransSqrs | missing | 0 -2 16 -68 208 -518 1120 -2184 3936 -6666 10736 -16588 24752 -35854 50624 -69904 94656 -125970 | +| 65 | ChebyshevU:Alt | PosHalf | B088138 | 1 -2 0 8 -16 0 64 -128 0 512 -1024 0 4096 -8192 0 32768 -65536 0 262144 -524288 0 2097152 -4194304 | +| 66 | ChebyshevU:Alt | NegHalf | B088138 | 1 -2 0 8 -16 0 64 -128 0 512 -1024 0 4096 -8192 0 32768 -65536 0 262144 -524288 0 2097152 -4194304 | +| 67 | ChebyshevU:Alt | DiagRow2 | B085750 | -1 4 -12 32 -80 192 -448 1024 -2304 5120 -11264 24576 -53248 114688 -245760 524288 -1114112 2359296 | +| 68 | ChebyshevU:Alt | DiagCol1 | B237420 | -2 0 4 0 -6 0 8 0 -10 0 12 0 -14 0 16 0 -18 0 20 0 -22 0 24 0 -26 0 28 0 -30 0 32 0 | +| 69 | ChebyshevU:Alt | DiagCol2 | missing | 4 0 -12 0 24 0 -40 0 60 0 -84 0 112 0 -144 0 180 0 -220 0 264 0 -312 0 364 0 -420 0 480 0 -544 0 | +| 70 | ChebyshevU:Alt | DiagCol3 | missing | -8 0 32 0 -80 0 160 0 -280 0 448 0 -672 0 960 0 -1320 0 1760 0 -2288 0 2912 0 -3640 0 4480 0 -5440 | +| 71 | ChebyshevU:Alt | Poly | A228161 | 1 0 1 -1 -2 1 0 3 -4 1 1 -4 15 -6 1 0 5 -56 35 -8 1 -1 -6 209 -204 63 -10 1 0 7 -780 1189 -496 99 | +| 72 | ChebyshevU:Alt | PolyRow1 | A005843 | 0 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 | +| 73 | ChebyshevU:Alt | PolyRow2 | A000466 | -1 3 15 35 63 99 143 195 255 323 399 483 575 675 783 899 1023 1155 1295 1443 1599 1763 1935 2115 | +| 74 | ChebyshevU:Alt | PolyRow3 | A144138 | 0 -4 -56 -204 -496 -980 -1704 -2716 -4064 -5796 -7960 -10604 -13776 -17524 -21896 -26940 -32704 | +| 75 | ChebyshevU:Alt | PolyCol2 | A125905 | 1 -4 15 -56 209 -780 2911 -10864 40545 -151316 564719 -2107560 7865521 -29354524 109552575 | +| 76 | ChebyshevU:Alt | PolyCol3 | B001109 | 1 -6 35 -204 1189 -6930 40391 -235416 1372105 -7997214 46611179 -271669860 1583407981 -9228778026 | +| 77 | ChebyshevU:Alt | PolyDiag | A323118 | 1 -2 15 -204 3905 -96030 2883167 -102213944 4178507265 -193501094490 10011386405999 | +| 78 | ChebyshevU:Rev | Triangle | A053118 | 1 2 0 4 0 -1 8 0 -4 0 16 0 -12 0 1 32 0 -32 0 6 0 64 0 -80 0 24 0 -1 128 0 -192 0 80 0 -8 0 256 0 | +| 79 | ChebyshevU:Rev | Acc | missing | 1 2 2 4 4 3 8 8 4 4 16 16 4 4 5 32 32 0 0 6 6 64 64 -16 -16 8 8 7 128 128 -64 -64 16 16 8 8 256 256 | +| 80 | ChebyshevU:Rev | AccRev | missing | 1 0 2 -1 -1 3 0 -4 -4 4 1 1 -11 -11 5 0 6 6 -26 -26 6 -1 -1 23 23 -57 -57 7 0 -8 -8 72 72 -120 -120 | +| 81 | ChebyshevU:Rev | AntiDiag | missing | 1 2 4 0 8 0 16 0 -1 32 0 -4 64 0 -12 0 128 0 -32 0 256 0 -80 0 1 512 0 -192 0 6 1024 0 -448 0 24 0 | +| 82 | ChebyshevU:Rev | Diffx1 | missing | 1 2 0 4 0 -3 8 0 -12 0 16 0 -36 0 5 32 0 -96 0 30 0 64 0 -240 0 120 0 -7 128 0 -576 0 400 0 -56 0 | +| 83 | ChebyshevU:Rev | RowSum | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 84 | ChebyshevU:Rev | EvenSum | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 85 | ChebyshevU:Rev | AltSum | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 86 | ChebyshevU:Rev | DiagSum | B008937 | 1 2 4 8 15 28 52 96 177 326 600 1104 2031 3736 6872 12640 23249 42762 78652 144664 266079 489396 | +| 87 | ChebyshevU:Rev | AccSum | A167875 | 1 4 11 24 45 76 119 176 249 340 451 584 741 924 1135 1376 1649 1956 2299 2680 3101 3564 4071 4624 | +| 88 | ChebyshevU:Rev | AccRevSum | missing | 1 2 1 -4 -15 -34 -63 -104 -159 -230 -319 -428 -559 -714 -895 -1104 -1343 -1614 -1919 -2260 -2639 | +| 89 | ChebyshevU:Rev | RowLcm | missing | 1 2 4 8 48 96 960 1920 26880 107520 322560 645120 14192640 28385280 738017280 1476034560 2952069120 | +| 90 | ChebyshevU:Rev | RowGcd | missing | 1 2 4 4 4 2 8 8 8 2 4 4 4 2 16 16 16 2 4 4 4 2 8 8 8 2 4 4 4 2 32 32 | +| 91 | ChebyshevU:Rev | RowMax | missing | 1 2 4 8 16 32 80 192 448 1024 2304 5120 11520 28160 67584 159744 372736 860160 1966080 4587520 | +| 92 | ChebyshevU:Rev | ColMiddle | missing | 1 2 0 0 -12 -32 0 0 240 672 0 0 -5376 -15360 0 0 126720 366080 0 0 -3075072 -8945664 0 0 76038144 | +| 93 | ChebyshevU:Rev | CentralE | missing | 1 0 -12 0 240 0 -5376 0 126720 0 -3075072 0 76038144 0 -1905131520 0 | +| 94 | ChebyshevU:Rev | CentralO | missing | 2 0 -32 0 672 0 -15360 0 366080 0 -8945664 0 222265344 0 -5588385792 0 | +| 95 | ChebyshevU:Rev | ColLeft | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 96 | ChebyshevU:Rev | ColRight | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | +| 97 | ChebyshevU:Rev | BinConv | missing | 1 2 3 -4 -55 -258 -777 -1160 3393 34970 158763 459252 544505 -3070858 -25671825 -109818384 | +| 98 | ChebyshevU:Rev | InvBinConv | missing | 1 -2 3 4 -55 258 -777 1160 3393 -34970 158763 -459252 544505 3070858 -25671825 109818384 -296097279 | +| 99 | ChebyshevU:Rev | TransNat0 | B007290 | 0 0 -2 -8 -20 -40 -70 -112 -168 -240 -330 -440 -572 -728 -910 -1120 -1360 -1632 -1938 -2280 -2660 | +| 100 | ChebyshevU:Rev | TransNat1 | missing | 1 2 1 -4 -15 -34 -63 -104 -159 -230 -319 -428 -559 -714 -895 -1104 -1343 -1614 -1919 -2260 -2639 | +| 101 | ChebyshevU:Rev | TransSqrs | missing | 0 0 -4 -16 -32 -32 28 224 672 1536 3036 5456 9152 14560 22204 32704 46784 65280 89148 119472 157472 | +| 102 | ChebyshevU:Rev | PosHalf | A125905 | 1 4 15 56 209 780 2911 10864 40545 151316 564719 2107560 7865521 29354524 109552575 408855776 | +| 103 | ChebyshevU:Rev | NegHalf | A125905 | 1 -4 15 -56 209 -780 2911 -10864 40545 -151316 564719 -2107560 7865521 -29354524 109552575 | +| 104 | ChebyshevU:Rev | DiagRow1 | B237420 | 2 0 -4 0 6 0 -8 0 10 0 -12 0 14 0 -16 0 18 0 -20 0 22 0 -24 0 26 0 -28 0 30 0 -32 0 | +| 105 | ChebyshevU:Rev | DiagRow2 | missing | 4 0 -12 0 24 0 -40 0 60 0 -84 0 112 0 -144 0 180 0 -220 0 264 0 -312 0 364 0 -420 0 480 0 -544 0 | +| 106 | ChebyshevU:Rev | DiagRow3 | missing | 8 0 -32 0 80 0 -160 0 280 0 -448 0 672 0 -960 0 1320 0 -1760 0 2288 0 -2912 0 3640 0 -4480 0 5440 0 | +| 107 | ChebyshevU:Rev | DiagCol2 | B001787 | -1 -4 -12 -32 -80 -192 -448 -1024 -2304 -5120 -11264 -24576 -53248 -114688 -245760 -524288 -1114112 | +| 108 | ChebyshevU:Rev | Poly | missing | 1 2 1 4 2 1 8 3 2 1 16 4 0 2 1 32 5 -8 -5 2 1 64 6 -16 -28 -12 2 1 128 7 0 -11 -56 -21 2 1 256 8 64 | +| 109 | ChebyshevU:Rev | PolyRow1 | A007395 | 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | +| 110 | ChebyshevU:Rev | PolyRow2 | B028347 | 4 3 0 -5 -12 -21 -32 -45 -60 -77 -96 -117 -140 -165 -192 -221 -252 -285 -320 -357 -396 -437 -480 | +| 111 | ChebyshevU:Rev | PolyRow3 | missing | 8 4 -8 -28 -56 -92 -136 -188 -248 -316 -392 -476 -568 -668 -776 -892 -1016 -1148 -1288 -1436 -1592 | +| 112 | ChebyshevU:Rev | PolyCol2 | B088138 | 1 2 0 -8 -16 0 64 128 0 -512 -1024 0 4096 8192 0 -32768 -65536 0 262144 524288 0 -2097152 -4194304 | +| 113 | ChebyshevU:Rev | PolyCol3 | A025170 | 1 2 -5 -28 -11 230 559 -952 -6935 -5302 51811 151340 -163619 -1689298 -1906025 11391632 39937489 | +| 114 | ChebyshevU:Rev | PolyDiag | missing | 1 2 0 -28 80 2982 -18368 -758392 7246080 349763210 -4542309376 -254336397588 4180805963776 | \ No newline at end of file diff --git a/data/md/ChristTree.md b/data/md/ChristTree.md index 54d66a6..f7dfdf6 100644 --- a/data/md/ChristTree.md +++ b/data/md/ChristTree.md @@ -36,75 +36,111 @@ | 33 | ChristTree:Std | PolyCol2 | missing | 1 3 5 15 21 63 85 255 341 1023 1365 4095 5461 16383 21845 65535 87381 262143 349525 1048575 1398101 | | 34 | ChristTree:Std | PolyCol3 | missing | 1 4 10 40 91 364 820 3280 7381 29524 66430 265720 597871 2391484 5380840 21523360 48427561 | | 35 | ChristTree:Std | PolyDiag | missing | 1 2 5 40 273 3906 47989 960800 17043521 435848050 10101010101 313842837672 8978450801041 | -| 36 | ChristTree:Inv | Triangle | A106467 | 1 -1 1 -1 0 1 1 -1 -1 1 0 0 -1 0 1 0 0 1 -1 -1 1 0 0 0 0 -1 0 1 0 0 0 0 1 -1 -1 1 0 0 0 0 0 0 -1 0 | -| 37 | ChristTree:Inv | Rev | missing | 1 1 -1 1 0 -1 1 -1 -1 1 1 0 -1 0 0 1 -1 -1 1 0 0 1 0 -1 0 0 0 0 1 -1 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 | -| 38 | ChristTree:Inv | RevInv | A051031 | 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 1 1 | -| 39 | ChristTree:Inv | Acc | missing | 1 -1 0 -1 -1 0 1 0 -1 0 0 0 -1 -1 0 0 0 1 0 -1 0 0 0 0 0 -1 -1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 -1 -1 | -| 40 | ChristTree:Inv | AccRev | A249866 | 1 1 0 1 1 0 1 0 -1 0 1 1 0 0 0 1 0 -1 0 0 0 1 1 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 -1 | -| 41 | ChristTree:Inv | AntiDiag | missing | 1 -1 -1 1 1 0 0 -1 1 0 0 -1 0 0 -1 1 0 0 1 0 0 0 0 -1 1 0 0 0 0 -1 0 0 0 0 -1 1 0 0 0 0 1 0 0 0 0 0 | -| 42 | ChristTree:Inv | Diffx1 | missing | 1 -1 2 -1 0 3 1 -2 -3 4 0 0 -3 0 5 0 0 3 -4 -5 6 0 0 0 0 -5 0 7 0 0 0 0 5 -6 -7 8 0 0 0 0 0 0 -7 0 | -| 43 | ChristTree:Inv | EvenSum | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 44 | ChristTree:Inv | OddSum | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 45 | ChristTree:Inv | AltSum | A130706 | 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 46 | ChristTree:Inv | DiagSum | A073097 | 1 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 | -| 47 | ChristTree:Inv | AccSum | A084099 | 1 -1 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 | -| 48 | ChristTree:Inv | AccRevSum | A084099 | 1 1 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 | -| 49 | ChristTree:Inv | ColMiddle | B079944 | 1 -1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 50 | ChristTree:Inv | CentralE | A014053 | 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 51 | ChristTree:Inv | CentralO | A014060 | -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 52 | ChristTree:Inv | ColLeft | A329678 | 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 53 | ChristTree:Inv | BinConv | missing | 1 0 0 -4 -5 -4 -14 8 -27 40 -44 100 -65 196 -90 336 -119 528 -152 780 -189 1100 -230 1496 -275 1976 | -| 54 | ChristTree:Inv | InvBinConv | missing | 1 2 0 0 -5 -14 -14 -48 -27 -110 -44 -208 -65 -350 -90 -544 -119 -798 -152 -1120 -189 -1518 -230 | -| 55 | ChristTree:Inv | TransNat0 | A084099 | 0 1 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 | -| 56 | ChristTree:Inv | TransNat1 | A084099 | 1 1 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 | -| 57 | ChristTree:Inv | TransSqrs | missing | 0 1 4 4 12 4 20 4 28 4 36 4 44 4 52 4 60 4 68 4 76 4 84 4 92 4 100 4 108 4 116 4 | -| 58 | ChristTree:Inv | PosHalf | A087717 | 1 -1 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 | -| 59 | ChristTree:Inv | NegHalf | B010707 | 1 3 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 | -| 60 | ChristTree:Inv | DiagRow1 | A014581 | -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 | -| 61 | ChristTree:Inv | DiagRow3 | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | -| 62 | ChristTree:Inv | DiagCol1 | A014053 | 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 63 | ChristTree:Inv | DiagCol2 | A329678 | 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 64 | ChristTree:Inv | DiagCol3 | A014053 | 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 65 | ChristTree:Inv | Poly | missing | 1 -1 1 -1 0 1 1 0 1 1 0 0 3 2 1 0 0 3 8 3 1 0 0 12 16 15 4 1 0 0 12 72 45 24 5 1 0 0 48 144 240 96 | -| 66 | ChristTree:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | -| 67 | ChristTree:Inv | PolyRow2 | A131386 | -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | -| 68 | ChristTree:Inv | PolyRow3 | A152618 | 1 0 3 16 45 96 175 288 441 640 891 1200 1573 2016 2535 3136 3825 4608 5491 6480 7581 8800 10143 | -| 69 | ChristTree:Inv | PolyCol2 | B117856 | 1 1 3 3 12 12 48 48 192 192 768 768 3072 3072 12288 12288 49152 49152 196608 196608 786432 786432 | -| 70 | ChristTree:Inv | PolyCol3 | missing | 1 2 8 16 72 144 648 1296 5832 11664 52488 104976 472392 944784 4251528 8503056 38263752 76527504 | -| 71 | ChristTree:Inv | PolyDiag | missing | 1 0 3 16 240 2400 45360 691488 16515072 340122240 9900000000 257230657200 8854183084032 | -| 72 | ChristTree:Inv:Rev | Triangle | missing | 1 1 -1 1 0 -1 1 -1 -1 1 1 0 -1 0 0 1 -1 -1 1 0 0 1 0 -1 0 0 0 0 1 -1 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 | -| 73 | ChristTree:Inv:Rev | Rev | A106467 | 1 -1 1 -1 0 1 1 -1 -1 1 0 0 -1 0 1 0 0 1 -1 -1 1 0 0 0 0 -1 0 1 0 0 0 0 1 -1 -1 1 0 0 0 0 0 0 -1 0 | -| 74 | ChristTree:Inv:Rev | InvRev | A051031 | 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 1 1 | -| 75 | ChristTree:Inv:Rev | Acc | A249866 | 1 1 0 1 1 0 1 0 -1 0 1 1 0 0 0 1 0 -1 0 0 0 1 1 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 -1 | -| 76 | ChristTree:Inv:Rev | AccRev | missing | 1 -1 0 -1 -1 0 1 0 -1 0 0 0 -1 -1 0 0 0 1 0 -1 0 0 0 0 0 -1 -1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 -1 -1 | -| 77 | ChristTree:Inv:Rev | AntiDiag | A163812 | 1 1 1 -1 1 0 1 -1 -1 1 0 -1 1 -1 -1 1 1 0 -1 0 1 -1 -1 1 0 1 0 -1 0 0 1 -1 -1 1 0 0 1 0 -1 0 0 0 1 | -| 78 | ChristTree:Inv:Rev | Diffx1 | missing | 1 1 -2 1 0 -3 1 -2 -3 4 1 0 -3 0 0 1 -2 -3 4 0 0 1 0 -3 0 0 0 0 1 -2 -3 4 0 0 0 0 1 0 -3 0 0 0 0 0 | -| 79 | ChristTree:Inv:Rev | EvenSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 80 | ChristTree:Inv:Rev | OddSum | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 81 | ChristTree:Inv:Rev | AltSum | A130706 | 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 82 | ChristTree:Inv:Rev | DiagSum | A329677 | 1 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 83 | ChristTree:Inv:Rev | AccSum | A084099 | 1 1 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 | -| 84 | ChristTree:Inv:Rev | AccRevSum | A084099 | 1 -1 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 | -| 85 | ChristTree:Inv:Rev | ColMiddle | B183918 | 1 1 0 -1 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 86 | ChristTree:Inv:Rev | CentralE | A014053 | 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 87 | ChristTree:Inv:Rev | CentralO | A329678 | 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 | -| 88 | ChristTree:Inv:Rev | ColRight | A329678 | 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 89 | ChristTree:Inv:Rev | BinConv | missing | 1 0 0 -4 -5 -4 -14 8 -27 40 -44 100 -65 196 -90 336 -119 528 -152 780 -189 1100 -230 1496 -275 1976 | -| 90 | ChristTree:Inv:Rev | InvBinConv | missing | 1 -2 0 0 -5 14 -14 48 -27 110 -44 208 -65 350 -90 544 -119 798 -152 1120 -189 1518 -230 2000 -275 | -| 91 | ChristTree:Inv:Rev | TransNat0 | A084099 | 0 -1 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 | -| 92 | ChristTree:Inv:Rev | TransNat1 | A084099 | 1 -1 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 | -| 93 | ChristTree:Inv:Rev | TransSqrs | A123932 | 0 -1 -4 4 -4 4 -4 4 -4 4 -4 4 -4 4 -4 4 -4 4 -4 4 -4 4 -4 4 -4 4 -4 4 -4 4 -4 4 | -| 94 | ChristTree:Inv:Rev | PosHalf | B117856 | 1 1 3 3 12 12 48 48 192 192 768 768 3072 3072 12288 12288 49152 49152 196608 196608 786432 786432 | -| 95 | ChristTree:Inv:Rev | NegHalf | B137344 | 1 -3 3 -9 12 -36 48 -144 192 -576 768 -2304 3072 -9216 12288 -36864 49152 -147456 196608 -589824 | -| 96 | ChristTree:Inv:Rev | DiagRow1 | A014053 | 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 97 | ChristTree:Inv:Rev | DiagRow2 | A329678 | 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 98 | ChristTree:Inv:Rev | DiagRow3 | A014053 | 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 99 | ChristTree:Inv:Rev | DiagCol1 | A014581 | -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 | -| 100 | ChristTree:Inv:Rev | DiagCol3 | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | -| 101 | ChristTree:Inv:Rev | Poly | A107889 | 1 1 1 1 0 1 1 0 -1 1 1 0 -3 -2 1 1 0 3 -8 -3 1 1 0 -3 16 -15 -4 1 1 0 3 -8 45 -24 -5 1 1 0 -3 16 | -| 102 | ChristTree:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 103 | ChristTree:Inv:Rev | PolyRow2 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | -| 104 | ChristTree:Inv:Rev | PolyRow3 | A152618 | 1 0 3 16 45 96 175 288 441 640 891 1200 1573 2016 2535 3136 3825 4608 5491 6480 7581 8800 10143 | -| 105 | ChristTree:Inv:Rev | PolyCol2 | A087717 | 1 -1 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 | -| 106 | ChristTree:Inv:Rev | PolyCol3 | B040057 | 1 -2 -8 16 -8 16 -8 16 -8 16 -8 16 -8 16 -8 16 -8 16 -8 16 -8 16 -8 16 -8 16 -8 16 -8 16 -8 16 | -| 107 | ChristTree:Inv:Rev | PolyDiag | missing | 1 0 -3 16 -15 96 -35 288 -63 640 -99 1200 -143 2016 -195 3136 -255 4608 -323 6480 -399 8800 -483 | \ No newline at end of file +| 36 | ChristTree:Alt | Triangle | A051031 | 1 1 -1 1 0 1 1 -1 1 -1 1 0 1 0 1 1 -1 1 -1 1 -1 1 0 1 0 1 0 1 1 -1 1 -1 1 -1 1 -1 1 0 1 0 1 0 1 0 1 | +| 37 | ChristTree:Alt | Rev | A051031 | 1 -1 1 1 0 1 -1 1 -1 1 1 0 1 0 1 -1 1 -1 1 -1 1 1 0 1 0 1 0 1 -1 1 -1 1 -1 1 -1 1 1 0 1 0 1 0 1 0 1 | +| 38 | ChristTree:Alt | Inv | A106467 | 1 -1 1 -1 0 1 -1 1 -1 1 0 0 -1 0 1 -2 2 -1 1 -1 1 0 0 0 0 -1 0 1 -4 4 -2 2 -1 1 -1 1 0 0 0 0 0 0 -1 | +| 39 | ChristTree:Alt | RevInv | missing | 1 1 -1 1 0 -1 1 -1 1 -1 1 0 -1 0 0 1 -1 1 -1 2 -2 1 0 -1 0 0 0 0 1 -1 1 -1 2 -2 4 -4 1 0 -1 0 0 0 0 | +| 40 | ChristTree:Alt | InvRev | A106467 | 1 1 1 -1 0 1 -1 -1 1 1 0 0 -1 0 1 0 0 -1 -1 1 1 0 0 0 0 -1 0 1 0 0 0 0 -1 -1 1 1 0 0 0 0 0 0 -1 0 1 | +| 41 | ChristTree:Alt | Acc | missing | 1 1 0 1 1 2 1 0 1 0 1 1 2 2 3 1 0 1 0 1 0 1 1 2 2 3 3 4 1 0 1 0 1 0 1 0 1 1 2 2 3 3 4 4 5 1 0 1 0 1 | +| 42 | ChristTree:Alt | AccRev | missing | 1 -1 0 1 1 2 -1 0 -1 0 1 1 2 2 3 -1 0 -1 0 -1 0 1 1 2 2 3 3 4 -1 0 -1 0 -1 0 -1 0 1 1 2 2 3 3 4 4 5 | +| 43 | ChristTree:Alt | AntiDiag | A163812 | 1 1 1 -1 1 0 1 -1 1 1 0 1 1 -1 1 -1 1 0 1 0 1 -1 1 -1 1 1 0 1 0 1 1 -1 1 -1 1 -1 1 0 1 0 1 0 1 -1 1 | +| 44 | ChristTree:Alt | Diffx1 | missing | 1 1 -2 1 0 3 1 -2 3 -4 1 0 3 0 5 1 -2 3 -4 5 -6 1 0 3 0 5 0 7 1 -2 3 -4 5 -6 7 -8 1 0 3 0 5 0 7 0 9 | +| 45 | ChristTree:Alt | RowSum | A027656 | 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 | +| 46 | ChristTree:Alt | EvenSum | A008619 | 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 | +| 47 | ChristTree:Alt | OddSum | A027656 | 0 -1 0 -2 0 -3 0 -4 0 -5 0 -6 0 -7 0 -8 0 -9 0 -10 0 -11 0 -12 0 -13 0 -14 0 -15 0 -16 | +| 48 | ChristTree:Alt | AltSum | B029578 | 1 2 2 4 3 6 4 8 5 10 6 12 7 14 8 16 9 18 10 20 11 22 12 24 13 26 14 28 15 30 16 32 | +| 49 | ChristTree:Alt | DiagSum | B354856 | 1 1 0 1 1 2 0 2 1 3 0 3 1 4 0 4 1 5 0 5 1 6 0 6 1 7 0 7 1 8 0 8 | +| 50 | ChristTree:Alt | AccSum | A051494 | 1 1 4 2 9 3 16 4 25 5 36 6 49 7 64 8 81 9 100 10 121 11 144 12 169 13 196 14 225 15 256 16 | +| 51 | ChristTree:Alt | AccRevSum | A051494 | 1 -1 4 -2 9 -3 16 -4 25 -5 36 -6 49 -7 64 -8 81 -9 100 -10 121 -11 144 -12 169 -13 196 -14 225 -15 | +| 52 | ChristTree:Alt | ColMiddle | A046980 | 1 1 0 -1 1 1 0 -1 1 1 0 -1 1 1 0 -1 1 1 0 -1 1 1 0 -1 1 1 0 -1 1 1 0 -1 | +| 53 | ChristTree:Alt | CentralE | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | +| 54 | ChristTree:Alt | BinConv | A199573 | 1 0 2 0 8 0 32 0 128 0 512 0 2048 0 8192 0 32768 0 131072 0 524288 0 2097152 0 8388608 0 33554432 0 | +| 55 | ChristTree:Alt | InvBinConv | A158302 | 1 -2 2 -8 8 -32 32 -128 128 -512 512 -2048 2048 -8192 8192 -32768 32768 -131072 131072 -524288 | +| 56 | ChristTree:Alt | TransNat0 | B129889 | 0 -1 2 -2 6 -3 12 -4 20 -5 30 -6 42 -7 56 -8 72 -9 90 -10 110 -11 132 -12 156 -13 182 -14 210 -15 | +| 57 | ChristTree:Alt | TransNat1 | A051494 | 1 -1 4 -2 9 -3 16 -4 25 -5 36 -6 49 -7 64 -8 81 -9 100 -10 121 -11 144 -12 169 -13 196 -14 225 -15 | +| 58 | ChristTree:Alt | TransSqrs | missing | 0 -1 4 -6 20 -15 56 -28 120 -45 220 -66 364 -91 560 -120 816 -153 1140 -190 1540 -231 2024 -276 | +| 59 | ChristTree:Alt | PosHalf | A052992 | 1 1 5 5 21 21 85 85 341 341 1365 1365 5461 5461 21845 21845 87381 87381 349525 349525 1398101 | +| 60 | ChristTree:Alt | NegHalf | missing | 1 -3 5 -15 21 -63 85 -255 341 -1023 1365 -4095 5461 -16383 21845 -65535 87381 -262143 349525 | +| 61 | ChristTree:Alt | DiagRow1 | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | +| 62 | ChristTree:Alt | DiagRow3 | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | +| 63 | ChristTree:Alt | DiagCol1 | A014581 | -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 | +| 64 | ChristTree:Alt | DiagCol3 | A014581 | -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 | +| 65 | ChristTree:Alt | Poly | missing | 1 1 1 1 0 1 1 2 -1 1 1 0 5 -2 1 1 3 -5 10 -3 1 1 0 21 -20 17 -4 1 1 4 -21 91 -51 26 -5 1 1 0 85 | +| 66 | ChristTree:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 67 | ChristTree:Alt | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 68 | ChristTree:Alt | PolyRow3 | A062158 | 1 0 -5 -20 -51 -104 -185 -300 -455 -656 -909 -1220 -1595 -2040 -2561 -3164 -3855 -4640 -5525 -6516 | +| 69 | ChristTree:Alt | PolyCol2 | A052992 | 1 -1 5 -5 21 -21 85 -85 341 -341 1365 -1365 5461 -5461 21845 -21845 87381 -87381 349525 -349525 | +| 70 | ChristTree:Alt | PolyCol3 | missing | 1 -2 10 -20 91 -182 820 -1640 7381 -14762 66430 -132860 597871 -1195742 5380840 -10761680 48427561 | +| 71 | ChristTree:Alt | PolyDiag | missing | 1 0 5 -20 273 -2604 47989 -720600 17043521 -348678440 10101010101 -261535698060 8978450801041 | +| 72 | ChristTree:Inv | Triangle | A106467 | 1 -1 1 -1 0 1 1 -1 -1 1 0 0 -1 0 1 0 0 1 -1 -1 1 0 0 0 0 -1 0 1 0 0 0 0 1 -1 -1 1 0 0 0 0 0 0 -1 0 | +| 73 | ChristTree:Inv | Rev | missing | 1 1 -1 1 0 -1 1 -1 -1 1 1 0 -1 0 0 1 -1 -1 1 0 0 1 0 -1 0 0 0 0 1 -1 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 | +| 74 | ChristTree:Inv | RevInv | A051031 | 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 1 1 | +| 75 | ChristTree:Inv | Acc | missing | 1 -1 0 -1 -1 0 1 0 -1 0 0 0 -1 -1 0 0 0 1 0 -1 0 0 0 0 0 -1 -1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 -1 -1 | +| 76 | ChristTree:Inv | AccRev | A249866 | 1 1 0 1 1 0 1 0 -1 0 1 1 0 0 0 1 0 -1 0 0 0 1 1 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 -1 | +| 77 | ChristTree:Inv | AntiDiag | missing | 1 -1 -1 1 1 0 0 -1 1 0 0 -1 0 0 -1 1 0 0 1 0 0 0 0 -1 1 0 0 0 0 -1 0 0 0 0 -1 1 0 0 0 0 1 0 0 0 0 0 | +| 78 | ChristTree:Inv | Diffx1 | missing | 1 -1 2 -1 0 3 1 -2 -3 4 0 0 -3 0 5 0 0 3 -4 -5 6 0 0 0 0 -5 0 7 0 0 0 0 5 -6 -7 8 0 0 0 0 0 0 -7 0 | +| 79 | ChristTree:Inv | EvenSum | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 80 | ChristTree:Inv | OddSum | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 81 | ChristTree:Inv | AltSum | A130706 | 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 82 | ChristTree:Inv | DiagSum | A073097 | 1 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 | +| 83 | ChristTree:Inv | AccSum | A084099 | 1 -1 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 | +| 84 | ChristTree:Inv | AccRevSum | A084099 | 1 1 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 | +| 85 | ChristTree:Inv | ColMiddle | B079944 | 1 -1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 86 | ChristTree:Inv | CentralE | A014053 | 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 87 | ChristTree:Inv | CentralO | A014060 | -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 88 | ChristTree:Inv | ColLeft | A329678 | 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 89 | ChristTree:Inv | BinConv | missing | 1 0 0 -4 -5 -4 -14 8 -27 40 -44 100 -65 196 -90 336 -119 528 -152 780 -189 1100 -230 1496 -275 1976 | +| 90 | ChristTree:Inv | InvBinConv | missing | 1 2 0 0 -5 -14 -14 -48 -27 -110 -44 -208 -65 -350 -90 -544 -119 -798 -152 -1120 -189 -1518 -230 | +| 91 | ChristTree:Inv | TransNat0 | A084099 | 0 1 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 | +| 92 | ChristTree:Inv | TransNat1 | A084099 | 1 1 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 | +| 93 | ChristTree:Inv | TransSqrs | missing | 0 1 4 4 12 4 20 4 28 4 36 4 44 4 52 4 60 4 68 4 76 4 84 4 92 4 100 4 108 4 116 4 | +| 94 | ChristTree:Inv | PosHalf | A087717 | 1 -1 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 | +| 95 | ChristTree:Inv | NegHalf | B010707 | 1 3 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 -3 -9 | +| 96 | ChristTree:Inv | DiagRow1 | A014581 | -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 | +| 97 | ChristTree:Inv | DiagRow3 | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | +| 98 | ChristTree:Inv | DiagCol1 | A014053 | 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 99 | ChristTree:Inv | DiagCol2 | A329678 | 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 100 | ChristTree:Inv | DiagCol3 | A014053 | 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 101 | ChristTree:Inv | Poly | missing | 1 -1 1 -1 0 1 1 0 1 1 0 0 3 2 1 0 0 3 8 3 1 0 0 12 16 15 4 1 0 0 12 72 45 24 5 1 0 0 48 144 240 96 | +| 102 | ChristTree:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 103 | ChristTree:Inv | PolyRow2 | A131386 | -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 104 | ChristTree:Inv | PolyRow3 | A152618 | 1 0 3 16 45 96 175 288 441 640 891 1200 1573 2016 2535 3136 3825 4608 5491 6480 7581 8800 10143 | +| 105 | ChristTree:Inv | PolyCol2 | B117856 | 1 1 3 3 12 12 48 48 192 192 768 768 3072 3072 12288 12288 49152 49152 196608 196608 786432 786432 | +| 106 | ChristTree:Inv | PolyCol3 | missing | 1 2 8 16 72 144 648 1296 5832 11664 52488 104976 472392 944784 4251528 8503056 38263752 76527504 | +| 107 | ChristTree:Inv | PolyDiag | missing | 1 0 3 16 240 2400 45360 691488 16515072 340122240 9900000000 257230657200 8854183084032 | +| 108 | ChristTree:Inv:Rev | Triangle | missing | 1 1 -1 1 0 -1 1 -1 -1 1 1 0 -1 0 0 1 -1 -1 1 0 0 1 0 -1 0 0 0 0 1 -1 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 | +| 109 | ChristTree:Inv:Rev | Rev | A106467 | 1 -1 1 -1 0 1 1 -1 -1 1 0 0 -1 0 1 0 0 1 -1 -1 1 0 0 0 0 -1 0 1 0 0 0 0 1 -1 -1 1 0 0 0 0 0 0 -1 0 | +| 110 | ChristTree:Inv:Rev | InvRev | A051031 | 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 1 1 | +| 111 | ChristTree:Inv:Rev | Acc | A249866 | 1 1 0 1 1 0 1 0 -1 0 1 1 0 0 0 1 0 -1 0 0 0 1 1 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 -1 | +| 112 | ChristTree:Inv:Rev | AccRev | missing | 1 -1 0 -1 -1 0 1 0 -1 0 0 0 -1 -1 0 0 0 1 0 -1 0 0 0 0 0 -1 -1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 -1 -1 | +| 113 | ChristTree:Inv:Rev | AntiDiag | A163812 | 1 1 1 -1 1 0 1 -1 -1 1 0 -1 1 -1 -1 1 1 0 -1 0 1 -1 -1 1 0 1 0 -1 0 0 1 -1 -1 1 0 0 1 0 -1 0 0 0 1 | +| 114 | ChristTree:Inv:Rev | Diffx1 | missing | 1 1 -2 1 0 -3 1 -2 -3 4 1 0 -3 0 0 1 -2 -3 4 0 0 1 0 -3 0 0 0 0 1 -2 -3 4 0 0 0 0 1 0 -3 0 0 0 0 0 | +| 115 | ChristTree:Inv:Rev | EvenSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 116 | ChristTree:Inv:Rev | OddSum | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 117 | ChristTree:Inv:Rev | AltSum | A130706 | 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 118 | ChristTree:Inv:Rev | DiagSum | A329677 | 1 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 119 | ChristTree:Inv:Rev | AccSum | A084099 | 1 1 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 | +| 120 | ChristTree:Inv:Rev | AccRevSum | A084099 | 1 -1 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 | +| 121 | ChristTree:Inv:Rev | ColMiddle | B183918 | 1 1 0 -1 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 122 | ChristTree:Inv:Rev | CentralE | A014053 | 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 123 | ChristTree:Inv:Rev | CentralO | A329678 | 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 | +| 124 | ChristTree:Inv:Rev | ColRight | A329678 | 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 125 | ChristTree:Inv:Rev | BinConv | missing | 1 0 0 -4 -5 -4 -14 8 -27 40 -44 100 -65 196 -90 336 -119 528 -152 780 -189 1100 -230 1496 -275 1976 | +| 126 | ChristTree:Inv:Rev | InvBinConv | missing | 1 -2 0 0 -5 14 -14 48 -27 110 -44 208 -65 350 -90 544 -119 798 -152 1120 -189 1518 -230 2000 -275 | +| 127 | ChristTree:Inv:Rev | TransNat0 | A084099 | 0 -1 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 | +| 128 | ChristTree:Inv:Rev | TransNat1 | A084099 | 1 -1 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 -2 0 | +| 129 | ChristTree:Inv:Rev | TransSqrs | A123932 | 0 -1 -4 4 -4 4 -4 4 -4 4 -4 4 -4 4 -4 4 -4 4 -4 4 -4 4 -4 4 -4 4 -4 4 -4 4 -4 4 | +| 130 | ChristTree:Inv:Rev | PosHalf | B117856 | 1 1 3 3 12 12 48 48 192 192 768 768 3072 3072 12288 12288 49152 49152 196608 196608 786432 786432 | +| 131 | ChristTree:Inv:Rev | NegHalf | B137344 | 1 -3 3 -9 12 -36 48 -144 192 -576 768 -2304 3072 -9216 12288 -36864 49152 -147456 196608 -589824 | +| 132 | ChristTree:Inv:Rev | DiagRow1 | A014053 | 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 133 | ChristTree:Inv:Rev | DiagRow2 | A329678 | 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 134 | ChristTree:Inv:Rev | DiagRow3 | A014053 | 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 135 | ChristTree:Inv:Rev | DiagCol1 | A014581 | -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 | +| 136 | ChristTree:Inv:Rev | DiagCol3 | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | +| 137 | ChristTree:Inv:Rev | Poly | A107889 | 1 1 1 1 0 1 1 0 -1 1 1 0 -3 -2 1 1 0 3 -8 -3 1 1 0 -3 16 -15 -4 1 1 0 3 -8 45 -24 -5 1 1 0 -3 16 | +| 138 | ChristTree:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 139 | ChristTree:Inv:Rev | PolyRow2 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | +| 140 | ChristTree:Inv:Rev | PolyRow3 | A152618 | 1 0 3 16 45 96 175 288 441 640 891 1200 1573 2016 2535 3136 3825 4608 5491 6480 7581 8800 10143 | +| 141 | ChristTree:Inv:Rev | PolyCol2 | A087717 | 1 -1 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 | +| 142 | ChristTree:Inv:Rev | PolyCol3 | B040057 | 1 -2 -8 16 -8 16 -8 16 -8 16 -8 16 -8 16 -8 16 -8 16 -8 16 -8 16 -8 16 -8 16 -8 16 -8 16 -8 16 | +| 143 | ChristTree:Inv:Rev | PolyDiag | missing | 1 0 -3 16 -15 96 -35 288 -63 640 -99 1200 -143 2016 -195 3136 -255 4608 -323 6480 -399 8800 -483 | \ No newline at end of file diff --git a/data/md/Composition.md b/data/md/Composition.md index 1ffcbcf..e6f9c6c 100644 --- a/data/md/Composition.md +++ b/data/md/Composition.md @@ -40,119 +40,159 @@ | 37 | Composition:Std | PolyCol2 | missing | 1 2 6 18 50 134 346 874 2158 5242 12538 29614 69154 159922 366582 833826 1883378 4227414 9434810 | | 38 | Composition:Std | PolyCol3 | missing | 1 3 12 48 174 606 2028 6636 21252 67098 209262 646860 1985160 6059568 18417756 55800840 168642354 | | 39 | Composition:Std | PolyDiag | missing | 1 1 6 48 452 5180 71502 1180564 22812232 505919448 12655763810 352234406524 10788469397004 | -| 40 | Composition:Rev | Triangle | A136868 | 1 1 0 1 1 0 1 2 1 0 1 2 4 1 0 1 2 5 7 1 0 1 2 5 11 12 1 0 1 2 5 12 23 20 1 0 1 2 5 12 27 47 33 1 0 | -| 41 | Composition:Rev | InvRev | missing | 1 0 1 0 -1 1 0 1 -2 1 0 1 0 -2 1 0 -1 3 -1 -2 1 0 -3 4 1 -1 -2 1 0 -5 3 4 0 -1 -2 1 0 -5 -1 6 2 0 | -| 42 | Composition:Rev | Acc | missing | 1 1 1 1 2 2 1 3 4 4 1 3 7 8 8 1 3 8 15 16 16 1 3 8 19 31 32 32 1 3 8 20 43 63 64 64 1 3 8 20 47 94 | -| 43 | Composition:Rev | AccRev | missing | 1 0 1 0 1 2 0 1 3 4 0 1 5 7 8 0 1 8 13 15 16 0 1 13 24 29 31 32 0 1 21 44 56 61 63 64 0 1 34 81 108 | -| 44 | Composition:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 2 0 1 2 1 1 2 4 0 1 2 5 1 1 2 5 7 0 1 2 5 11 1 1 2 5 12 12 0 1 2 5 12 23 1 1 2 5 12 | -| 45 | Composition:Rev | Diffx1 | missing | 1 1 0 1 2 0 1 4 3 0 1 4 12 4 0 1 4 15 28 5 0 1 4 15 44 60 6 0 1 4 15 48 115 120 7 0 1 4 15 48 135 | -| 46 | Composition:Rev | RowSum | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 47 | Composition:Rev | EvenSum | missing | 1 1 1 2 5 7 18 30 66 129 249 534 972 2160 3874 8612 15623 34097 63308 134638 256782 531606 1040340 | -| 48 | Composition:Rev | OddSum | missing | 0 0 1 2 3 9 14 34 62 127 263 490 1076 1936 4318 7772 17145 31439 67764 127506 267506 516970 1056812 | -| 49 | Composition:Rev | AltSum | missing | 1 1 0 0 2 -2 4 -4 4 2 -14 44 -104 224 -444 840 -1522 2658 -4456 7132 -10724 14636 -16472 9404 23684 | -| 50 | Composition:Rev | DiagSum | missing | 1 1 1 2 3 4 7 9 15 20 32 44 67 96 140 206 293 437 612 920 1277 1923 2662 3998 5540 8279 11509 17089 | -| 51 | Composition:Rev | AccSum | missing | 1 2 5 12 27 59 126 266 556 1155 2387 4914 10084 20640 42154 85936 174917 355553 721886 1464160 | -| 52 | Composition:Rev | AccRevSum | A039671 | 1 1 3 8 21 53 130 310 724 1661 3757 8398 18588 40800 88918 192592 414907 889631 1899554 4040864 | -| 53 | Composition:Rev | RowLcm | missing | 1 1 1 2 4 70 660 1380 279180 10481940 130256280 107793766080 549873198114240 19976953590720 | -| 54 | Composition:Rev | RowGcd | B033420 | 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 55 | Composition:Rev | RowMax | missing | 1 1 1 2 4 7 12 23 47 94 185 360 694 1328 2526 4903 9960 20135 40534 81300 162538 324020 644282 | -| 56 | Composition:Rev | ColMiddle | missing | 1 1 1 2 4 5 11 12 27 28 63 64 143 144 319 320 703 704 1535 1536 3327 3328 7167 7168 15359 15360 | -| 57 | Composition:Rev | CentralE | A047859 | 1 1 4 11 27 63 143 319 703 1535 3327 7167 15359 32767 69631 147455 | -| 58 | Composition:Rev | CentralO | A045623 | 1 2 5 12 28 64 144 320 704 1536 3328 7168 15360 32768 69632 147456 | -| 59 | Composition:Rev | BinConv | missing | 1 1 3 10 37 136 494 1772 6283 22018 76282 261350 886340 2977846 9919394 32786192 107602851 | -| 60 | Composition:Rev | InvBinConv | missing | 1 -1 -1 2 13 24 18 -64 -373 -1210 -2810 -4940 -5700 2352 44198 184672 566211 1476534 3468270 | -| 61 | Composition:Rev | TransNat0 | missing | 0 0 1 4 13 37 98 246 596 1405 3245 7374 16540 36704 80726 176208 382139 824095 1768482 3778720 | -| 62 | Composition:Rev | TransNat1 | A039671 | 1 1 3 8 21 53 130 310 724 1661 3757 8398 18588 40800 88918 192592 414907 889631 1899554 4040864 | -| 63 | Composition:Rev | TransSqrs | missing | 0 0 1 6 27 101 338 1034 2974 8147 21503 55086 137740 337556 813386 1931920 4531997 10517123 | -| 64 | Composition:Rev | PosHalf | missing | 1 2 6 18 50 134 346 874 2158 5242 12538 29614 69154 159922 366582 833826 1883378 4227414 9434810 | -| 65 | Composition:Rev | NegHalf | missing | 1 -2 2 -2 14 -14 38 -74 122 -362 422 -1430 1790 -5522 7826 -20210 35054 -74174 152870 -272618 | -| 66 | Composition:Rev | DiagRow2 | B000071 | 1 2 4 7 12 20 33 54 88 143 232 376 609 986 1596 2583 4180 6764 10945 17710 28656 46367 75024 121392 | -| 67 | Composition:Rev | DiagRow3 | B000100 | 1 2 5 11 23 47 94 185 360 694 1328 2526 4781 9012 16929 31709 59247 110469 205606 382087 709108 | -| 68 | Composition:Rev | DiagCol1 | A130130 | 0 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | -| 69 | Composition:Rev | DiagCol2 | B000523 | 0 1 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 | -| 70 | Composition:Rev | DiagCol3 | B072464 | 0 1 7 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 | -| 71 | Composition:Rev | Poly | A104445 | 1 1 1 1 1 1 1 2 1 1 1 4 3 1 1 1 8 9 4 1 1 1 16 29 16 5 1 1 1 32 97 70 25 6 1 1 1 64 337 322 137 36 | -| 72 | Composition:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 73 | Composition:Rev | PolyRow3 | A162395 | 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 | -| 74 | Composition:Rev | PolyCol2 | missing | 1 1 3 9 29 97 337 1193 4297 15641 57433 212345 789625 2950841 11075769 41733945 157805369 598579257 | -| 75 | Composition:Rev | PolyCol3 | missing | 1 1 4 16 70 322 1564 7828 40228 210166 1112182 5943508 32015464 173622256 947199148 5195166712 | -| 76 | Composition:Rev | PolyDiag | missing | 1 1 3 16 137 1636 25897 513388 12405073 354959272 11783592521 445792171364 18942104690665 | -| 77 | Composition:Inv | Triangle | missing | 1 0 1 0 -1 1 0 1 -2 1 0 1 0 -2 1 0 -1 3 -1 -2 1 0 -3 4 1 -1 -2 1 0 -5 3 4 0 -1 -2 1 0 -5 -1 6 2 0 | -| 78 | Composition:Inv | Rev | missing | 1 1 0 1 -1 0 1 -2 1 0 1 -2 0 1 0 1 -2 -1 3 -1 0 1 -2 -1 1 4 -3 0 1 -2 -1 0 4 3 -5 0 1 -2 -1 0 2 6 | -| 79 | Composition:Inv | RevInv | A136868 | 1 1 0 1 1 0 1 2 1 0 1 2 4 1 0 1 2 5 7 1 0 1 2 5 11 12 1 0 1 2 5 12 23 20 1 0 1 2 5 12 27 47 33 1 0 | -| 80 | Composition:Inv | Acc | missing | 1 0 1 0 -1 0 0 1 -1 0 0 1 1 -1 0 0 -1 2 1 -1 0 0 -3 1 2 1 -1 0 0 -5 -2 2 2 1 -1 0 0 -5 -6 0 2 2 1 | -| 81 | Composition:Inv | AccRev | missing | 1 1 1 1 0 0 1 -1 0 0 1 -1 -1 0 0 1 -1 -2 1 0 0 1 -1 -2 -1 3 0 0 1 -1 -2 -2 2 5 0 0 1 -1 -2 -2 0 6 5 | -| 82 | Composition:Inv | AntiDiag | missing | 1 0 0 1 0 -1 0 1 1 0 1 -2 0 -1 0 1 0 -3 3 -2 0 -5 4 -1 1 0 -5 3 1 -2 0 -1 -1 4 -1 1 0 9 -11 6 0 -2 | -| 83 | Composition:Inv | Diffx1 | missing | 1 0 2 0 -2 3 0 2 -6 4 0 2 0 -8 5 0 -2 9 -4 -10 6 0 -6 12 4 -5 -12 7 0 -10 9 16 0 -6 -14 8 0 -10 -3 | -| 84 | Composition:Inv | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 85 | Composition:Inv | EvenSum | missing | 1 0 1 -2 1 1 4 1 1 -8 -20 -47 -83 -143 -224 -332 -440 -500 -371 262 2086 6532 16495 37780 81784 | -| 86 | Composition:Inv | OddSum | missing | 0 1 -1 2 -1 -1 -4 -1 -1 8 20 47 83 143 224 332 440 500 371 -262 -2086 -6532 -16495 -37780 -81784 | -| 87 | Composition:Inv | AltSum | missing | 1 -1 2 -4 2 2 8 2 2 -16 -40 -94 -166 -286 -448 -664 -880 -1000 -742 524 4172 13064 32990 75560 | -| 88 | Composition:Inv | DiagSum | missing | 1 0 1 -1 2 -1 0 -2 -1 -3 2 2 13 27 55 98 177 300 501 822 1321 2091 3233 4886 7098 9771 12120 11980 | -| 89 | Composition:Inv | AccSum | missing | 1 1 -1 0 1 1 0 -3 -7 -12 -16 -15 -3 33 112 272 572 1120 2093 3802 6770 11900 20731 35888 61860 | -| 90 | Composition:Inv | AccRevSum | missing | 1 2 1 0 -1 -1 0 3 7 12 16 15 3 -33 -112 -272 -572 -1120 -2093 -3802 -6770 -11900 -20731 -35888 | -| 91 | Composition:Inv | RowLcm | missing | 1 1 1 2 2 6 12 60 30 440 1260 53010 877560 24276252 349011360 37190448 1179264240 5865051649860 | -| 92 | Composition:Inv | RowGcd | B033420 | 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 93 | Composition:Inv | RowMax | missing | 1 1 1 2 2 3 4 5 6 11 28 57 103 172 269 437 717 1131 1719 3040 5981 11574 22102 41743 89269 189237 | -| 94 | Composition:Inv | ColMiddle | missing | 1 0 -1 1 0 3 1 4 2 5 3 6 4 7 5 8 6 9 7 10 8 11 9 12 10 13 11 14 12 15 13 16 | -| 95 | Composition:Inv | CentralE | A105811 | 1 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 | -| 96 | Composition:Inv | CentralO | A179005 | 0 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 | -| 97 | Composition:Inv | BinConv | missing | 1 1 -1 -2 -3 6 36 134 365 970 2402 5941 14381 34932 83948 203068 491865 1201374 2960313 7373635 | -| 98 | Composition:Inv | InvBinConv | missing | 1 1 3 10 5 -34 56 36 -195 538 -1650 3807 -4875 1184 5052 -23324 114393 -386290 906509 -1885141 | -| 99 | Composition:Inv | TransNat0 | missing | 0 1 1 0 -1 -1 0 3 7 12 16 15 3 -33 -112 -272 -572 -1120 -2093 -3802 -6770 -11900 -20731 -35888 | -| 100 | Composition:Inv | TransNat1 | missing | 1 2 1 0 -1 -1 0 3 7 12 16 15 3 -33 -112 -272 -572 -1120 -2093 -3802 -6770 -11900 -20731 -35888 | -| 101 | Composition:Inv | TransSqrs | missing | 0 1 3 2 -1 -5 -8 -5 7 36 84 155 243 331 376 284 -120 -1196 -3581 -8522 -18266 -37080 -72771 -139976 | -| 102 | Composition:Inv | PosHalf | missing | 1 1 -1 1 5 1 -31 -167 -487 -983 -727 6601 47177 227209 923273 3473161 12381449 42620425 142940681 | -| 103 | Composition:Inv | NegHalf | missing | 1 1 3 9 -3 -39 153 -351 417 1521 -12687 62289 -249903 907281 -3056367 9726609 -29298543 82386321 | -| 104 | Composition:Inv | DiagRow1 | A130130 | 0 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 | -| 105 | Composition:Inv | DiagRow2 | A060576 | 0 1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 | -| 106 | Composition:Inv | DiagRow3 | B000007 | 0 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 107 | Composition:Inv | DiagCol1 | missing | 1 -1 1 1 -1 -3 -5 -5 -1 9 31 71 141 255 437 717 1131 1719 2493 3397 4155 4021 1115 -8781 -34949 | -| 108 | Composition:Inv | DiagCol2 | missing | 1 -2 0 3 4 3 -1 -11 -28 -57 -103 -172 -269 -394 -534 -631 -549 54 1904 6575 17266 40509 89269 | -| 109 | Composition:Inv | DiagCol3 | missing | 1 -2 -1 1 4 6 8 10 9 4 -13 -53 -144 -336 -729 -1511 -3040 -5981 -11574 -22102 -41743 -78105 -144935 | -| 110 | Composition:Inv | Poly | A060701 | 1 0 1 0 1 1 0 0 2 1 0 0 2 3 1 0 0 2 6 4 1 0 0 2 12 12 5 1 0 0 2 30 36 20 6 1 0 0 2 78 132 80 30 7 1 | -| 111 | Composition:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 112 | Composition:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | -| 113 | Composition:Inv | PolyRow3 | A011379 | 0 0 2 12 36 80 150 252 392 576 810 1100 1452 1872 2366 2940 3600 4352 5202 6156 7220 8400 9702 | -| 114 | Composition:Inv | PolyCol2 | A036452 | 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | -| 115 | Composition:Inv | PolyCol3 | missing | 1 3 6 12 30 78 216 606 1758 5136 15192 45102 134502 401742 1202112 3599592 10786464 32333400 | -| 116 | Composition:Inv | PolyDiag | missing | 1 1 2 12 132 1820 30150 572922 12331928 296640864 7901377290 231103022150 7368682226532 | -| 117 | Composition:Inv:Rev | Triangle | missing | 1 1 0 1 -1 0 1 -2 1 0 1 -2 0 1 0 1 -2 -1 3 -1 0 1 -2 -1 1 4 -3 0 1 -2 -1 0 4 3 -5 0 1 -2 -1 0 2 6 | -| 118 | Composition:Inv:Rev | Rev | missing | 1 0 1 0 -1 1 0 1 -2 1 0 1 0 -2 1 0 -1 3 -1 -2 1 0 -3 4 1 -1 -2 1 0 -5 3 4 0 -1 -2 1 0 -5 -1 6 2 0 | -| 119 | Composition:Inv:Rev | InvRev | missing | 1 0 1 0 1 1 0 1 2 1 0 1 4 2 1 0 1 7 5 2 1 0 1 12 11 5 2 1 0 1 20 23 12 5 2 1 0 1 33 47 27 12 5 2 1 | -| 120 | Composition:Inv:Rev | Acc | missing | 1 1 1 1 0 0 1 -1 0 0 1 -1 -1 0 0 1 -1 -2 1 0 0 1 -1 -2 -1 3 0 0 1 -1 -2 -2 2 5 0 0 1 -1 -2 -2 0 6 5 | -| 121 | Composition:Inv:Rev | AccRev | missing | 1 0 1 0 -1 0 0 1 -1 0 0 1 1 -1 0 0 -1 2 1 -1 0 0 -3 1 2 1 -1 0 0 -5 -2 2 2 1 -1 0 0 -5 -6 0 2 2 1 | -| 122 | Composition:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -1 1 -2 0 1 -2 1 1 -2 0 0 1 -2 -1 1 1 -2 -1 3 0 1 -2 -1 1 -1 1 -2 -1 0 4 0 1 -2 -1 0 4 -3 | -| 123 | Composition:Inv:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 -4 3 0 1 -4 0 4 0 1 -4 -3 12 -5 0 1 -4 -3 4 20 -18 0 1 -4 -3 0 20 18 -35 0 1 -4 -3 0 | -| 124 | Composition:Inv:Rev | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 125 | Composition:Inv:Rev | EvenSum | missing | 1 1 1 2 1 -1 4 -1 1 8 -20 47 -83 143 -224 332 -440 500 -371 -262 2086 -6532 16495 -37780 81784 | -| 126 | Composition:Inv:Rev | OddSum | missing | 0 0 -1 -2 -1 1 -4 1 -1 -8 20 -47 83 -143 224 -332 440 -500 371 262 -2086 6532 -16495 37780 -81784 | -| 127 | Composition:Inv:Rev | AltSum | missing | 1 1 2 4 2 -2 8 -2 2 16 -40 94 -166 286 -448 664 -880 1000 -742 -524 4172 -13064 32990 -75560 163568 | -| 128 | Composition:Inv:Rev | DiagSum | missing | 1 1 1 0 -1 0 -1 -1 1 -2 2 -1 3 0 3 5 -3 16 -13 30 -31 55 -64 91 -114 138 -183 189 -269 225 -354 189 | -| 129 | Composition:Inv:Rev | AccSum | missing | 1 2 1 0 -1 -1 0 3 7 12 16 15 3 -33 -112 -272 -572 -1120 -2093 -3802 -6770 -11900 -20731 -35888 | -| 130 | Composition:Inv:Rev | AccRevSum | missing | 1 1 -1 0 1 1 0 -3 -7 -12 -16 -15 -3 33 112 272 572 1120 2093 3802 6770 11900 20731 35888 61860 | -| 131 | Composition:Inv:Rev | RowLcm | missing | 1 1 1 2 2 6 12 60 30 440 1260 53010 877560 24276252 349011360 37190448 1179264240 5865051649860 | -| 132 | Composition:Inv:Rev | RowGcd | B033420 | 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 133 | Composition:Inv:Rev | RowMax | missing | 1 1 1 2 2 3 4 5 6 11 28 57 103 172 269 437 717 1131 1719 3040 5981 11574 22102 41743 89269 189237 | -| 134 | Composition:Inv:Rev | ColMiddle | missing | 1 1 -1 -2 0 -1 1 0 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 | -| 135 | Composition:Inv:Rev | CentralE | A105811 | 1 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 | -| 136 | Composition:Inv:Rev | CentralO | A248157 | 1 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 | -| 137 | Composition:Inv:Rev | BinConv | missing | 1 1 -1 -2 -3 6 36 134 365 970 2402 5941 14381 34932 83948 203068 491865 1201374 2960313 7373635 | -| 138 | Composition:Inv:Rev | InvBinConv | missing | 1 -1 3 -10 5 34 56 -36 -195 -538 -1650 -3807 -4875 -1184 5052 23324 114393 386290 906509 1885141 | -| 139 | Composition:Inv:Rev | TransNat0 | missing | 0 0 -1 0 1 1 0 -3 -7 -12 -16 -15 -3 33 112 272 572 1120 2093 3802 6770 11900 20731 35888 61860 | -| 140 | Composition:Inv:Rev | TransNat1 | missing | 1 1 -1 0 1 1 0 -3 -7 -12 -16 -15 -3 33 112 272 572 1120 2093 3802 6770 11900 20731 35888 61860 | -| 141 | Composition:Inv:Rev | TransSqrs | missing | 0 0 -1 2 7 5 -8 -47 -105 -180 -236 -175 171 1189 3512 8444 18184 36884 71767 135954 252534 462720 | -| 142 | Composition:Inv:Rev | PosHalf | A036452 | 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | -| 143 | Composition:Inv:Rev | NegHalf | missing | 1 -2 6 -18 30 -42 126 -234 438 -954 1662 -3978 6822 -15138 28182 -59538 115854 -231450 471894 | -| 144 | Composition:Inv:Rev | DiagRow1 | missing | 1 -1 1 1 -1 -3 -5 -5 -1 9 31 71 141 255 437 717 1131 1719 2493 3397 4155 4021 1115 -8781 -34949 | -| 145 | Composition:Inv:Rev | DiagRow2 | missing | 1 -2 0 3 4 3 -1 -11 -28 -57 -103 -172 -269 -394 -534 -631 -549 54 1904 6575 17266 40509 89269 | -| 146 | Composition:Inv:Rev | DiagRow3 | missing | 1 -2 -1 1 4 6 8 10 9 4 -13 -53 -144 -336 -729 -1511 -3040 -5981 -11574 -22102 -41743 -78105 -144935 | -| 147 | Composition:Inv:Rev | DiagCol1 | A130130 | 0 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 | -| 148 | Composition:Inv:Rev | DiagCol2 | A060576 | 0 1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 | -| 149 | Composition:Inv:Rev | DiagCol3 | B000007 | 0 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 150 | Composition:Inv:Rev | Poly | A071024 | 1 1 1 1 1 1 1 0 1 1 1 0 -1 1 1 1 0 1 -2 1 1 1 0 5 4 -3 1 1 1 0 1 22 9 -4 1 1 1 0 -31 -14 57 16 -5 1 | -| 151 | Composition:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 152 | Composition:Inv:Rev | PolyRow3 | A174902 | 1 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 | -| 153 | Composition:Inv:Rev | PolyCol2 | missing | 1 1 -1 1 5 1 -31 -167 -487 -983 -727 6601 47177 227209 923273 3473161 12381449 42620425 142940681 | -| 154 | Composition:Inv:Rev | PolyCol3 | missing | 1 1 -2 4 22 -14 -392 -2606 -10058 -23504 21208 794434 6693502 44219506 256502848 1395509944 | -| 155 | Composition:Inv:Rev | PolyDiag | missing | 1 1 -1 4 57 -284 -17975 -528282 -10543183 -91106144 6307309881 671792211850 46403493767257 | \ No newline at end of file +| 40 | Composition:Alt | Triangle | missing | 1 0 -1 0 -1 1 0 -1 2 -1 0 -1 4 -2 1 0 -1 7 -5 2 -1 0 -1 12 -11 5 -2 1 0 -1 20 -23 12 -5 2 -1 0 -1 | +| 41 | Composition:Alt | Rev | A136868 | 1 -1 0 1 -1 0 -1 2 -1 0 1 -2 4 -1 0 -1 2 -5 7 -1 0 1 -2 5 -11 12 -1 0 -1 2 -5 12 -23 20 -1 0 1 -2 5 | +| 42 | Composition:Alt | Inv | missing | 1 0 1 0 1 1 0 -1 -2 1 0 -5 -8 2 1 0 -1 -1 1 -2 1 0 1 4 3 -9 2 1 0 11 17 -2 -4 1 -2 1 0 61 91 -14 | +| 43 | Composition:Alt | RevInv | missing | 1 1 0 1 1 0 1 -2 -1 0 1 2 -8 -5 0 1 -2 1 -1 -1 0 1 2 -9 3 4 1 0 1 -2 1 -4 -2 17 11 0 1 2 -9 4 -14 | +| 44 | Composition:Alt | Acc | missing | 1 0 -1 0 -1 0 0 -1 1 0 0 -1 3 1 2 0 -1 6 1 3 2 0 -1 11 0 5 3 4 0 -1 19 -4 8 3 5 4 0 -1 32 -15 12 0 | +| 45 | Composition:Alt | AccRev | missing | 1 -1 -1 1 0 0 -1 1 0 0 1 -1 3 2 2 -1 1 -4 3 2 2 1 -1 4 -7 5 4 4 -1 1 -4 8 -15 5 4 4 1 -1 4 -8 19 | +| 46 | Composition:Alt | AntiDiag | missing | 1 0 0 -1 0 -1 0 -1 1 0 -1 2 0 -1 4 -1 0 -1 7 -2 0 -1 12 -5 1 0 -1 20 -11 2 0 -1 33 -23 5 -1 0 -1 54 | +| 47 | Composition:Alt | Diffx1 | missing | 1 0 -2 0 -2 3 0 -2 6 -4 0 -2 12 -8 5 0 -2 21 -20 10 -6 0 -2 36 -44 25 -12 7 0 -2 60 -92 60 -30 14 | +| 48 | Composition:Alt | RowSum | missing | 1 -1 0 0 2 2 4 4 4 -2 -14 -44 -104 -224 -444 -840 -1522 -2658 -4456 -7132 -10724 -14636 -16472 | +| 49 | Composition:Alt | EvenSum | A103422 | 1 0 1 2 5 9 18 34 66 127 249 490 972 1936 3874 7772 15623 31439 63308 127506 256782 516970 1040340 | +| 50 | Composition:Alt | OddSum | A103421 | 0 -1 -1 -2 -3 -7 -14 -30 -62 -129 -263 -534 -1076 -2160 -4318 -8612 -17145 -34097 -67764 -134638 | +| 51 | Composition:Alt | AltSum | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 52 | Composition:Alt | DiagSum | missing | 1 0 -1 -1 0 1 2 4 7 10 13 16 16 6 -26 -103 -272 -623 -1320 -2660 -5176 -9806 -18170 -33016 -58907 | +| 53 | Composition:Alt | AccSum | missing | 1 -1 -1 0 5 11 22 34 40 15 -83 -362 -1036 -2524 -5590 -11620 -22993 -43575 -79146 -137292 -225118 | +| 54 | Composition:Alt | AccRevSum | missing | 1 -2 1 0 7 3 10 2 0 -37 -85 -210 -420 -836 -1514 -2660 -4403 -6927 -9974 -12480 -10810 4318 55372 | +| 55 | Composition:Alt | RowLcm | missing | 1 1 1 2 4 70 660 1380 279180 10481940 130256280 107793766080 549873198114240 19976953590720 | +| 56 | Composition:Alt | RowGcd | B033420 | 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 57 | Composition:Alt | RowMax | missing | 1 1 1 2 4 7 12 23 47 94 185 360 694 1328 2526 4903 9960 20135 40534 81300 162538 324020 644282 | +| 58 | Composition:Alt | ColMiddle | missing | 1 0 -1 -1 4 7 -11 -23 27 59 -63 -139 143 315 -319 -699 703 1531 -1535 -3323 3327 7163 -7167 -15355 | +| 59 | Composition:Alt | CentralE | A047859 | 1 -1 4 -11 27 -63 143 -319 703 -1535 3327 -7167 15359 -32767 69631 -147455 | +| 60 | Composition:Alt | CentralO | missing | 0 -1 7 -23 59 -139 315 -699 1531 -3323 7163 -15355 32763 -69627 147451 -311291 | +| 61 | Composition:Alt | BinConv | missing | 1 -1 -1 2 13 24 18 -64 -373 -1210 -2810 -4940 -5700 2352 44198 184672 566211 1476534 3468270 | +| 62 | Composition:Alt | InvBinConv | missing | 1 -1 3 -10 37 -136 494 -1772 6283 -22018 76282 -261350 886340 -2977846 9919394 -32786192 107602851 | +| 63 | Composition:Alt | TransNat0 | missing | 0 -1 1 0 5 1 6 -2 -4 -35 -71 -166 -316 -612 -1070 -1820 -2881 -4269 -5518 -5348 -86 18954 71844 | +| 64 | Composition:Alt | TransNat1 | missing | 1 -2 1 0 7 3 10 2 0 -37 -85 -210 -420 -836 -1514 -2660 -4403 -6927 -9974 -12480 -10810 4318 55372 | +| 65 | Composition:Alt | TransSqrs | missing | 0 -1 3 -2 13 -11 14 -38 -14 -153 -179 -466 -652 -1276 -1690 -2376 -1957 339 9652 34110 95074 233698 | +| 66 | Composition:Alt | PosHalf | missing | 1 -1 -1 -1 5 23 89 287 833 2159 4817 7247 -6991 -130801 -800527 -3889777 -17011087 -69933937 | +| 67 | Composition:Alt | NegHalf | missing | 1 -1 3 -9 29 -97 337 -1193 4297 -15641 57433 -212345 789625 -2950841 11075769 -41733945 157805369 | +| 68 | Composition:Alt | DiagRow1 | A130130 | 0 -1 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 | +| 69 | Composition:Alt | DiagRow2 | B000523 | 0 -1 4 -5 5 -5 5 -5 5 -5 5 -5 5 -5 5 -5 5 -5 5 -5 5 -5 5 -5 5 -5 5 -5 5 -5 5 -5 | +| 70 | Composition:Alt | DiagRow3 | B072464 | 0 -1 7 -11 12 -12 12 -12 12 -12 12 -12 12 -12 12 -12 12 -12 12 -12 12 -12 12 -12 12 -12 12 -12 12 | +| 71 | Composition:Alt | DiagCol2 | B000071 | 1 2 4 7 12 20 33 54 88 143 232 376 609 986 1596 2583 4180 6764 10945 17710 28656 46367 75024 121392 | +| 72 | Composition:Alt | DiagCol3 | B000100 | -1 -2 -5 -11 -23 -47 -94 -185 -360 -694 -1328 -2526 -4781 -9012 -16929 -31709 -59247 -110469 | +| 73 | Composition:Alt | Poly | A060701 | 1 0 1 0 -1 1 0 0 -2 1 0 0 2 -3 1 0 2 -2 6 -4 1 0 2 14 -12 12 -5 1 0 4 -14 60 -36 20 -6 1 0 4 38 | +| 74 | Composition:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | Composition:Alt | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 76 | Composition:Alt | PolyRow3 | A011379 | 0 0 -2 -12 -36 -80 -150 -252 -392 -576 -810 -1100 -1452 -1872 -2366 -2940 -3600 -4352 -5202 -6156 | +| 77 | Composition:Alt | PolyCol2 | missing | 1 -2 2 -2 14 -14 38 -74 122 -362 422 -1430 1790 -5522 7826 -20210 35054 -74174 152870 -272618 | +| 78 | Composition:Alt | PolyCol3 | missing | 1 -3 6 -12 60 -156 456 -1416 4128 -12828 37428 -113736 339504 -1021728 3060312 -9179904 27559788 | +| 79 | Composition:Alt | PolyDiag | missing | 1 -1 2 -12 188 -2330 35634 -650384 13589048 -320195034 8402793790 -243105423704 7687861523700 | +| 80 | Composition:Rev | Triangle | A136868 | 1 1 0 1 1 0 1 2 1 0 1 2 4 1 0 1 2 5 7 1 0 1 2 5 11 12 1 0 1 2 5 12 23 20 1 0 1 2 5 12 27 47 33 1 0 | +| 81 | Composition:Rev | InvRev | missing | 1 0 1 0 -1 1 0 1 -2 1 0 1 0 -2 1 0 -1 3 -1 -2 1 0 -3 4 1 -1 -2 1 0 -5 3 4 0 -1 -2 1 0 -5 -1 6 2 0 | +| 82 | Composition:Rev | Acc | missing | 1 1 1 1 2 2 1 3 4 4 1 3 7 8 8 1 3 8 15 16 16 1 3 8 19 31 32 32 1 3 8 20 43 63 64 64 1 3 8 20 47 94 | +| 83 | Composition:Rev | AccRev | missing | 1 0 1 0 1 2 0 1 3 4 0 1 5 7 8 0 1 8 13 15 16 0 1 13 24 29 31 32 0 1 21 44 56 61 63 64 0 1 34 81 108 | +| 84 | Composition:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 2 0 1 2 1 1 2 4 0 1 2 5 1 1 2 5 7 0 1 2 5 11 1 1 2 5 12 12 0 1 2 5 12 23 1 1 2 5 12 | +| 85 | Composition:Rev | Diffx1 | missing | 1 1 0 1 2 0 1 4 3 0 1 4 12 4 0 1 4 15 28 5 0 1 4 15 44 60 6 0 1 4 15 48 115 120 7 0 1 4 15 48 135 | +| 86 | Composition:Rev | RowSum | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 87 | Composition:Rev | EvenSum | missing | 1 1 1 2 5 7 18 30 66 129 249 534 972 2160 3874 8612 15623 34097 63308 134638 256782 531606 1040340 | +| 88 | Composition:Rev | OddSum | missing | 0 0 1 2 3 9 14 34 62 127 263 490 1076 1936 4318 7772 17145 31439 67764 127506 267506 516970 1056812 | +| 89 | Composition:Rev | AltSum | missing | 1 1 0 0 2 -2 4 -4 4 2 -14 44 -104 224 -444 840 -1522 2658 -4456 7132 -10724 14636 -16472 9404 23684 | +| 90 | Composition:Rev | DiagSum | missing | 1 1 1 2 3 4 7 9 15 20 32 44 67 96 140 206 293 437 612 920 1277 1923 2662 3998 5540 8279 11509 17089 | +| 91 | Composition:Rev | AccSum | missing | 1 2 5 12 27 59 126 266 556 1155 2387 4914 10084 20640 42154 85936 174917 355553 721886 1464160 | +| 92 | Composition:Rev | AccRevSum | A039671 | 1 1 3 8 21 53 130 310 724 1661 3757 8398 18588 40800 88918 192592 414907 889631 1899554 4040864 | +| 93 | Composition:Rev | RowLcm | missing | 1 1 1 2 4 70 660 1380 279180 10481940 130256280 107793766080 549873198114240 19976953590720 | +| 94 | Composition:Rev | RowGcd | B033420 | 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 95 | Composition:Rev | RowMax | missing | 1 1 1 2 4 7 12 23 47 94 185 360 694 1328 2526 4903 9960 20135 40534 81300 162538 324020 644282 | +| 96 | Composition:Rev | ColMiddle | missing | 1 1 1 2 4 5 11 12 27 28 63 64 143 144 319 320 703 704 1535 1536 3327 3328 7167 7168 15359 15360 | +| 97 | Composition:Rev | CentralE | A047859 | 1 1 4 11 27 63 143 319 703 1535 3327 7167 15359 32767 69631 147455 | +| 98 | Composition:Rev | CentralO | A045623 | 1 2 5 12 28 64 144 320 704 1536 3328 7168 15360 32768 69632 147456 | +| 99 | Composition:Rev | BinConv | missing | 1 1 3 10 37 136 494 1772 6283 22018 76282 261350 886340 2977846 9919394 32786192 107602851 | +| 100 | Composition:Rev | InvBinConv | missing | 1 -1 -1 2 13 24 18 -64 -373 -1210 -2810 -4940 -5700 2352 44198 184672 566211 1476534 3468270 | +| 101 | Composition:Rev | TransNat0 | missing | 0 0 1 4 13 37 98 246 596 1405 3245 7374 16540 36704 80726 176208 382139 824095 1768482 3778720 | +| 102 | Composition:Rev | TransNat1 | A039671 | 1 1 3 8 21 53 130 310 724 1661 3757 8398 18588 40800 88918 192592 414907 889631 1899554 4040864 | +| 103 | Composition:Rev | TransSqrs | missing | 0 0 1 6 27 101 338 1034 2974 8147 21503 55086 137740 337556 813386 1931920 4531997 10517123 | +| 104 | Composition:Rev | PosHalf | missing | 1 2 6 18 50 134 346 874 2158 5242 12538 29614 69154 159922 366582 833826 1883378 4227414 9434810 | +| 105 | Composition:Rev | NegHalf | missing | 1 -2 2 -2 14 -14 38 -74 122 -362 422 -1430 1790 -5522 7826 -20210 35054 -74174 152870 -272618 | +| 106 | Composition:Rev | DiagRow2 | B000071 | 1 2 4 7 12 20 33 54 88 143 232 376 609 986 1596 2583 4180 6764 10945 17710 28656 46367 75024 121392 | +| 107 | Composition:Rev | DiagRow3 | B000100 | 1 2 5 11 23 47 94 185 360 694 1328 2526 4781 9012 16929 31709 59247 110469 205606 382087 709108 | +| 108 | Composition:Rev | DiagCol1 | A130130 | 0 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | +| 109 | Composition:Rev | DiagCol2 | B000523 | 0 1 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 | +| 110 | Composition:Rev | DiagCol3 | B072464 | 0 1 7 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 | +| 111 | Composition:Rev | Poly | A104445 | 1 1 1 1 1 1 1 2 1 1 1 4 3 1 1 1 8 9 4 1 1 1 16 29 16 5 1 1 1 32 97 70 25 6 1 1 1 64 337 322 137 36 | +| 112 | Composition:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 113 | Composition:Rev | PolyRow3 | A162395 | 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 | +| 114 | Composition:Rev | PolyCol2 | missing | 1 1 3 9 29 97 337 1193 4297 15641 57433 212345 789625 2950841 11075769 41733945 157805369 598579257 | +| 115 | Composition:Rev | PolyCol3 | missing | 1 1 4 16 70 322 1564 7828 40228 210166 1112182 5943508 32015464 173622256 947199148 5195166712 | +| 116 | Composition:Rev | PolyDiag | missing | 1 1 3 16 137 1636 25897 513388 12405073 354959272 11783592521 445792171364 18942104690665 | +| 117 | Composition:Inv | Triangle | missing | 1 0 1 0 -1 1 0 1 -2 1 0 1 0 -2 1 0 -1 3 -1 -2 1 0 -3 4 1 -1 -2 1 0 -5 3 4 0 -1 -2 1 0 -5 -1 6 2 0 | +| 118 | Composition:Inv | Rev | missing | 1 1 0 1 -1 0 1 -2 1 0 1 -2 0 1 0 1 -2 -1 3 -1 0 1 -2 -1 1 4 -3 0 1 -2 -1 0 4 3 -5 0 1 -2 -1 0 2 6 | +| 119 | Composition:Inv | RevInv | A136868 | 1 1 0 1 1 0 1 2 1 0 1 2 4 1 0 1 2 5 7 1 0 1 2 5 11 12 1 0 1 2 5 12 23 20 1 0 1 2 5 12 27 47 33 1 0 | +| 120 | Composition:Inv | Acc | missing | 1 0 1 0 -1 0 0 1 -1 0 0 1 1 -1 0 0 -1 2 1 -1 0 0 -3 1 2 1 -1 0 0 -5 -2 2 2 1 -1 0 0 -5 -6 0 2 2 1 | +| 121 | Composition:Inv | AccRev | missing | 1 1 1 1 0 0 1 -1 0 0 1 -1 -1 0 0 1 -1 -2 1 0 0 1 -1 -2 -1 3 0 0 1 -1 -2 -2 2 5 0 0 1 -1 -2 -2 0 6 5 | +| 122 | Composition:Inv | AntiDiag | missing | 1 0 0 1 0 -1 0 1 1 0 1 -2 0 -1 0 1 0 -3 3 -2 0 -5 4 -1 1 0 -5 3 1 -2 0 -1 -1 4 -1 1 0 9 -11 6 0 -2 | +| 123 | Composition:Inv | Diffx1 | missing | 1 0 2 0 -2 3 0 2 -6 4 0 2 0 -8 5 0 -2 9 -4 -10 6 0 -6 12 4 -5 -12 7 0 -10 9 16 0 -6 -14 8 0 -10 -3 | +| 124 | Composition:Inv | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 125 | Composition:Inv | EvenSum | missing | 1 0 1 -2 1 1 4 1 1 -8 -20 -47 -83 -143 -224 -332 -440 -500 -371 262 2086 6532 16495 37780 81784 | +| 126 | Composition:Inv | OddSum | missing | 0 1 -1 2 -1 -1 -4 -1 -1 8 20 47 83 143 224 332 440 500 371 -262 -2086 -6532 -16495 -37780 -81784 | +| 127 | Composition:Inv | AltSum | missing | 1 -1 2 -4 2 2 8 2 2 -16 -40 -94 -166 -286 -448 -664 -880 -1000 -742 524 4172 13064 32990 75560 | +| 128 | Composition:Inv | DiagSum | missing | 1 0 1 -1 2 -1 0 -2 -1 -3 2 2 13 27 55 98 177 300 501 822 1321 2091 3233 4886 7098 9771 12120 11980 | +| 129 | Composition:Inv | AccSum | missing | 1 1 -1 0 1 1 0 -3 -7 -12 -16 -15 -3 33 112 272 572 1120 2093 3802 6770 11900 20731 35888 61860 | +| 130 | Composition:Inv | AccRevSum | missing | 1 2 1 0 -1 -1 0 3 7 12 16 15 3 -33 -112 -272 -572 -1120 -2093 -3802 -6770 -11900 -20731 -35888 | +| 131 | Composition:Inv | RowLcm | missing | 1 1 1 2 2 6 12 60 30 440 1260 53010 877560 24276252 349011360 37190448 1179264240 5865051649860 | +| 132 | Composition:Inv | RowGcd | B033420 | 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 133 | Composition:Inv | RowMax | missing | 1 1 1 2 2 3 4 5 6 11 28 57 103 172 269 437 717 1131 1719 3040 5981 11574 22102 41743 89269 189237 | +| 134 | Composition:Inv | ColMiddle | missing | 1 0 -1 1 0 3 1 4 2 5 3 6 4 7 5 8 6 9 7 10 8 11 9 12 10 13 11 14 12 15 13 16 | +| 135 | Composition:Inv | CentralE | A105811 | 1 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 | +| 136 | Composition:Inv | CentralO | A179005 | 0 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 | +| 137 | Composition:Inv | BinConv | missing | 1 1 -1 -2 -3 6 36 134 365 970 2402 5941 14381 34932 83948 203068 491865 1201374 2960313 7373635 | +| 138 | Composition:Inv | InvBinConv | missing | 1 1 3 10 5 -34 56 36 -195 538 -1650 3807 -4875 1184 5052 -23324 114393 -386290 906509 -1885141 | +| 139 | Composition:Inv | TransNat0 | missing | 0 1 1 0 -1 -1 0 3 7 12 16 15 3 -33 -112 -272 -572 -1120 -2093 -3802 -6770 -11900 -20731 -35888 | +| 140 | Composition:Inv | TransNat1 | missing | 1 2 1 0 -1 -1 0 3 7 12 16 15 3 -33 -112 -272 -572 -1120 -2093 -3802 -6770 -11900 -20731 -35888 | +| 141 | Composition:Inv | TransSqrs | missing | 0 1 3 2 -1 -5 -8 -5 7 36 84 155 243 331 376 284 -120 -1196 -3581 -8522 -18266 -37080 -72771 -139976 | +| 142 | Composition:Inv | PosHalf | missing | 1 1 -1 1 5 1 -31 -167 -487 -983 -727 6601 47177 227209 923273 3473161 12381449 42620425 142940681 | +| 143 | Composition:Inv | NegHalf | missing | 1 1 3 9 -3 -39 153 -351 417 1521 -12687 62289 -249903 907281 -3056367 9726609 -29298543 82386321 | +| 144 | Composition:Inv | DiagRow1 | A130130 | 0 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 | +| 145 | Composition:Inv | DiagRow2 | A060576 | 0 1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 | +| 146 | Composition:Inv | DiagRow3 | B000007 | 0 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 147 | Composition:Inv | DiagCol1 | missing | 1 -1 1 1 -1 -3 -5 -5 -1 9 31 71 141 255 437 717 1131 1719 2493 3397 4155 4021 1115 -8781 -34949 | +| 148 | Composition:Inv | DiagCol2 | missing | 1 -2 0 3 4 3 -1 -11 -28 -57 -103 -172 -269 -394 -534 -631 -549 54 1904 6575 17266 40509 89269 | +| 149 | Composition:Inv | DiagCol3 | missing | 1 -2 -1 1 4 6 8 10 9 4 -13 -53 -144 -336 -729 -1511 -3040 -5981 -11574 -22102 -41743 -78105 -144935 | +| 150 | Composition:Inv | Poly | A060701 | 1 0 1 0 1 1 0 0 2 1 0 0 2 3 1 0 0 2 6 4 1 0 0 2 12 12 5 1 0 0 2 30 36 20 6 1 0 0 2 78 132 80 30 7 1 | +| 151 | Composition:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 152 | Composition:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 153 | Composition:Inv | PolyRow3 | A011379 | 0 0 2 12 36 80 150 252 392 576 810 1100 1452 1872 2366 2940 3600 4352 5202 6156 7220 8400 9702 | +| 154 | Composition:Inv | PolyCol2 | A036452 | 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | +| 155 | Composition:Inv | PolyCol3 | missing | 1 3 6 12 30 78 216 606 1758 5136 15192 45102 134502 401742 1202112 3599592 10786464 32333400 | +| 156 | Composition:Inv | PolyDiag | missing | 1 1 2 12 132 1820 30150 572922 12331928 296640864 7901377290 231103022150 7368682226532 | +| 157 | Composition:Inv:Rev | Triangle | missing | 1 1 0 1 -1 0 1 -2 1 0 1 -2 0 1 0 1 -2 -1 3 -1 0 1 -2 -1 1 4 -3 0 1 -2 -1 0 4 3 -5 0 1 -2 -1 0 2 6 | +| 158 | Composition:Inv:Rev | Rev | missing | 1 0 1 0 -1 1 0 1 -2 1 0 1 0 -2 1 0 -1 3 -1 -2 1 0 -3 4 1 -1 -2 1 0 -5 3 4 0 -1 -2 1 0 -5 -1 6 2 0 | +| 159 | Composition:Inv:Rev | InvRev | missing | 1 0 1 0 1 1 0 1 2 1 0 1 4 2 1 0 1 7 5 2 1 0 1 12 11 5 2 1 0 1 20 23 12 5 2 1 0 1 33 47 27 12 5 2 1 | +| 160 | Composition:Inv:Rev | Acc | missing | 1 1 1 1 0 0 1 -1 0 0 1 -1 -1 0 0 1 -1 -2 1 0 0 1 -1 -2 -1 3 0 0 1 -1 -2 -2 2 5 0 0 1 -1 -2 -2 0 6 5 | +| 161 | Composition:Inv:Rev | AccRev | missing | 1 0 1 0 -1 0 0 1 -1 0 0 1 1 -1 0 0 -1 2 1 -1 0 0 -3 1 2 1 -1 0 0 -5 -2 2 2 1 -1 0 0 -5 -6 0 2 2 1 | +| 162 | Composition:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -1 1 -2 0 1 -2 1 1 -2 0 0 1 -2 -1 1 1 -2 -1 3 0 1 -2 -1 1 -1 1 -2 -1 0 4 0 1 -2 -1 0 4 -3 | +| 163 | Composition:Inv:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 -4 3 0 1 -4 0 4 0 1 -4 -3 12 -5 0 1 -4 -3 4 20 -18 0 1 -4 -3 0 20 18 -35 0 1 -4 -3 0 | +| 164 | Composition:Inv:Rev | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 165 | Composition:Inv:Rev | EvenSum | missing | 1 1 1 2 1 -1 4 -1 1 8 -20 47 -83 143 -224 332 -440 500 -371 -262 2086 -6532 16495 -37780 81784 | +| 166 | Composition:Inv:Rev | OddSum | missing | 0 0 -1 -2 -1 1 -4 1 -1 -8 20 -47 83 -143 224 -332 440 -500 371 262 -2086 6532 -16495 37780 -81784 | +| 167 | Composition:Inv:Rev | AltSum | missing | 1 1 2 4 2 -2 8 -2 2 16 -40 94 -166 286 -448 664 -880 1000 -742 -524 4172 -13064 32990 -75560 163568 | +| 168 | Composition:Inv:Rev | DiagSum | missing | 1 1 1 0 -1 0 -1 -1 1 -2 2 -1 3 0 3 5 -3 16 -13 30 -31 55 -64 91 -114 138 -183 189 -269 225 -354 189 | +| 169 | Composition:Inv:Rev | AccSum | missing | 1 2 1 0 -1 -1 0 3 7 12 16 15 3 -33 -112 -272 -572 -1120 -2093 -3802 -6770 -11900 -20731 -35888 | +| 170 | Composition:Inv:Rev | AccRevSum | missing | 1 1 -1 0 1 1 0 -3 -7 -12 -16 -15 -3 33 112 272 572 1120 2093 3802 6770 11900 20731 35888 61860 | +| 171 | Composition:Inv:Rev | RowLcm | missing | 1 1 1 2 2 6 12 60 30 440 1260 53010 877560 24276252 349011360 37190448 1179264240 5865051649860 | +| 172 | Composition:Inv:Rev | RowGcd | B033420 | 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 173 | Composition:Inv:Rev | RowMax | missing | 1 1 1 2 2 3 4 5 6 11 28 57 103 172 269 437 717 1131 1719 3040 5981 11574 22102 41743 89269 189237 | +| 174 | Composition:Inv:Rev | ColMiddle | missing | 1 1 -1 -2 0 -1 1 0 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 | +| 175 | Composition:Inv:Rev | CentralE | A105811 | 1 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 | +| 176 | Composition:Inv:Rev | CentralO | A248157 | 1 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 | +| 177 | Composition:Inv:Rev | BinConv | missing | 1 1 -1 -2 -3 6 36 134 365 970 2402 5941 14381 34932 83948 203068 491865 1201374 2960313 7373635 | +| 178 | Composition:Inv:Rev | InvBinConv | missing | 1 -1 3 -10 5 34 56 -36 -195 -538 -1650 -3807 -4875 -1184 5052 23324 114393 386290 906509 1885141 | +| 179 | Composition:Inv:Rev | TransNat0 | missing | 0 0 -1 0 1 1 0 -3 -7 -12 -16 -15 -3 33 112 272 572 1120 2093 3802 6770 11900 20731 35888 61860 | +| 180 | Composition:Inv:Rev | TransNat1 | missing | 1 1 -1 0 1 1 0 -3 -7 -12 -16 -15 -3 33 112 272 572 1120 2093 3802 6770 11900 20731 35888 61860 | +| 181 | Composition:Inv:Rev | TransSqrs | missing | 0 0 -1 2 7 5 -8 -47 -105 -180 -236 -175 171 1189 3512 8444 18184 36884 71767 135954 252534 462720 | +| 182 | Composition:Inv:Rev | PosHalf | A036452 | 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | +| 183 | Composition:Inv:Rev | NegHalf | missing | 1 -2 6 -18 30 -42 126 -234 438 -954 1662 -3978 6822 -15138 28182 -59538 115854 -231450 471894 | +| 184 | Composition:Inv:Rev | DiagRow1 | missing | 1 -1 1 1 -1 -3 -5 -5 -1 9 31 71 141 255 437 717 1131 1719 2493 3397 4155 4021 1115 -8781 -34949 | +| 185 | Composition:Inv:Rev | DiagRow2 | missing | 1 -2 0 3 4 3 -1 -11 -28 -57 -103 -172 -269 -394 -534 -631 -549 54 1904 6575 17266 40509 89269 | +| 186 | Composition:Inv:Rev | DiagRow3 | missing | 1 -2 -1 1 4 6 8 10 9 4 -13 -53 -144 -336 -729 -1511 -3040 -5981 -11574 -22102 -41743 -78105 -144935 | +| 187 | Composition:Inv:Rev | DiagCol1 | A130130 | 0 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 | +| 188 | Composition:Inv:Rev | DiagCol2 | A060576 | 0 1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 | +| 189 | Composition:Inv:Rev | DiagCol3 | B000007 | 0 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 190 | Composition:Inv:Rev | Poly | A071024 | 1 1 1 1 1 1 1 0 1 1 1 0 -1 1 1 1 0 1 -2 1 1 1 0 5 4 -3 1 1 1 0 1 22 9 -4 1 1 1 0 -31 -14 57 16 -5 1 | +| 191 | Composition:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 192 | Composition:Inv:Rev | PolyRow3 | A174902 | 1 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 | +| 193 | Composition:Inv:Rev | PolyCol2 | missing | 1 1 -1 1 5 1 -31 -167 -487 -983 -727 6601 47177 227209 923273 3473161 12381449 42620425 142940681 | +| 194 | Composition:Inv:Rev | PolyCol3 | missing | 1 1 -2 4 22 -14 -392 -2606 -10058 -23504 21208 794434 6693502 44219506 256502848 1395509944 | +| 195 | Composition:Inv:Rev | PolyDiag | missing | 1 1 -1 4 57 -284 -17975 -528282 -10543183 -91106144 6307309881 671792211850 46403493767257 | \ No newline at end of file diff --git a/data/md/CompositionMax.md b/data/md/CompositionMax.md index 3b8d34f..943d322 100644 --- a/data/md/CompositionMax.md +++ b/data/md/CompositionMax.md @@ -1,78 +1,117 @@ -| | triangle | trait | anum | seq | -|---:|:-------------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | CompositionMax:Std | Triangle | missing | 1 0 1 0 1 2 0 1 3 4 0 1 5 7 8 0 1 8 13 15 16 0 1 13 24 29 31 32 0 1 21 44 56 61 63 64 0 1 34 81 108 | -| 1 | CompositionMax:Std | Rev | missing | 1 1 0 2 1 0 4 3 1 0 8 7 5 1 0 16 15 13 8 1 0 32 31 29 24 13 1 0 64 63 61 56 44 21 1 0 128 127 125 | -| 2 | CompositionMax:Std | Acc | missing | 1 0 1 0 1 3 0 1 4 8 0 1 6 13 21 0 1 9 22 37 53 0 1 14 38 67 98 130 0 1 22 66 122 183 246 310 0 1 35 | -| 3 | CompositionMax:Std | AccRev | missing | 1 1 1 2 3 3 4 7 8 8 8 15 20 21 21 16 31 44 52 53 53 32 63 92 116 129 130 130 64 127 188 244 288 309 | -| 4 | CompositionMax:Std | AntiDiag | missing | 1 0 0 1 0 1 0 1 2 0 1 3 0 1 5 4 0 1 8 7 0 1 13 13 8 0 1 21 24 15 0 1 34 44 29 16 0 1 55 81 56 31 0 | -| 5 | CompositionMax:Std | Diffx1 | missing | 1 0 2 0 2 6 0 2 9 16 0 2 15 28 40 0 2 24 52 75 96 0 2 39 96 145 186 224 0 2 63 176 280 366 441 512 | -| 6 | CompositionMax:Std | RowSum | A039671 | 1 1 3 8 21 53 130 310 724 1661 3757 8398 18588 40800 88918 192592 414907 889631 1899554 4040864 | -| 7 | CompositionMax:Std | EvenSum | missing | 1 0 2 3 13 23 74 140 395 766 2003 3932 9780 19320 46396 91990 215265 427767 981431 1953113 4412062 | -| 8 | CompositionMax:Std | OddSum | missing | 0 1 1 5 8 30 56 170 329 895 1754 4466 8808 21480 42522 100602 199642 461864 918123 2087751 4155280 | -| 9 | CompositionMax:Std | AltSum | missing | 1 -1 1 -2 5 -7 18 -30 66 -129 249 -534 972 -2160 3874 -8612 15623 -34097 63308 -134638 256782 | -| 10 | CompositionMax:Std | DiagSum | missing | 1 0 1 1 3 4 10 16 35 61 124 224 440 810 1564 2917 5591 10524 20132 38162 73050 139244 267042 511302 | -| 11 | CompositionMax:Std | AccSum | missing | 1 1 4 13 41 122 348 950 2509 6437 16131 39628 95728 227930 535974 1246656 2871975 6560240 14871813 | -| 12 | CompositionMax:Std | AccRevSum | missing | 1 2 8 27 85 249 692 1840 4731 11834 28953 69546 164504 384070 886714 2027408 4596351 10342749 | -| 13 | CompositionMax:Std | RowLcm | missing | 1 1 2 12 280 3120 1121952 2705472 2798064000 58511872024320 6967676101752221184 | -| 14 | CompositionMax:Std | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 15 | CompositionMax:Std | RowMax | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 16 | CompositionMax:Std | ColMiddle | missing | 1 0 1 1 5 8 24 44 108 208 464 912 1936 3840 7936 15808 32192 64256 129792 259328 521472 1042432 | -| 17 | CompositionMax:Std | CentralE | A008464 | 1 1 5 24 108 464 1936 7936 32192 129792 521472 2091008 8375296 33525760 134156288 536739840 | -| 18 | CompositionMax:Std | CentralO | B100575 | 0 1 8 44 208 912 3840 15808 64256 259328 1042432 4180992 16748544 67047424 268304384 1073463296 | -| 19 | CompositionMax:Std | ColRight | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 20 | CompositionMax:Std | BinConv | missing | 1 1 4 16 70 306 1334 5734 24420 102940 430360 1785829 7364042 30203057 123318368 501604024 | -| 21 | CompositionMax:Std | InvBinConv | missing | 1 1 0 -2 6 -4 -10 50 -140 310 -456 199 1298 -5953 19032 -51192 117356 -232678 407864 -590272 448571 | -| 22 | CompositionMax:Std | TransNat0 | missing | 0 1 5 19 64 196 562 1530 4007 10173 25196 61148 145916 343270 797796 1834816 4181444 9453118 | -| 23 | CompositionMax:Std | TransNat1 | missing | 1 2 8 27 85 249 692 1840 4731 11834 28953 69546 164504 384070 886714 2027408 4596351 10342749 | -| 24 | CompositionMax:Std | TransSqrs | missing | 0 1 9 49 212 790 2660 8306 24509 69171 188414 498542 1287768 3259572 8108942 19873582 48076210 | -| 25 | CompositionMax:Std | PosHalf | missing | 1 1 4 14 50 178 642 2322 8466 31026 114354 423666 1577202 5897586 22143346 83451506 315577970 | -| 26 | CompositionMax:Std | NegHalf | missing | 1 1 0 2 6 -10 70 -170 598 -1354 3382 -4490 -3978 88566 -530954 2598646 -11329802 46644470 | -| 27 | CompositionMax:Std | DiagRow1 | A000225 | 0 1 3 7 15 31 63 127 255 511 1023 2047 4095 8191 16383 32767 65535 131071 262143 524287 1048575 | -| 28 | CompositionMax:Std | DiagRow2 | A344920 | 0 1 5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 | -| 29 | CompositionMax:Std | DiagRow3 | B159741 | 0 1 8 24 56 120 248 504 1016 2040 4088 8184 16376 32760 65528 131064 262136 524280 1048568 2097144 | -| 30 | CompositionMax:Std | DiagCol2 | A020695 | 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 75025 121393 | -| 31 | CompositionMax:Std | DiagCol3 | B000073 | 4 7 13 24 44 81 149 274 504 927 1705 3136 5768 10609 19513 35890 66012 121415 223317 410744 755476 | -| 32 | CompositionMax:Std | Poly | missing | 1 0 1 0 1 1 0 3 2 1 0 8 10 3 1 0 21 46 21 4 1 0 53 206 138 36 5 1 0 130 890 885 308 55 6 1 0 310 | -| 33 | CompositionMax:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 34 | CompositionMax:Std | PolyRow2 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | -| 35 | CompositionMax:Std | PolyRow3 | missing | 0 8 46 138 308 580 978 1526 2248 3168 4310 5698 7356 9308 11578 14190 17168 20536 24318 28538 33220 | -| 36 | CompositionMax:Std | PolyCol2 | missing | 1 2 10 46 206 890 3750 15510 63378 256902 1036038 4164690 16708062 66948942 268068874 1072907998 | -| 37 | CompositionMax:Std | PolyCol3 | missing | 1 3 21 138 885 5529 33978 206634 1249086 7524723 45245001 271774362 1631594172 9792490728 | -| 38 | CompositionMax:Std | PolyDiag | missing | 1 1 10 138 2580 61205 1777290 61294450 2451008136 111513860901 5687482692910 321339842335578 | -| 39 | CompositionMax:Rev | Triangle | missing | 1 1 0 2 1 0 4 3 1 0 8 7 5 1 0 16 15 13 8 1 0 32 31 29 24 13 1 0 64 63 61 56 44 21 1 0 128 127 125 | -| 40 | CompositionMax:Rev | Acc | missing | 1 1 1 2 3 3 4 7 8 8 8 15 20 21 21 16 31 44 52 53 53 32 63 92 116 129 130 130 64 127 188 244 288 309 | -| 41 | CompositionMax:Rev | AccRev | missing | 1 0 1 0 1 3 0 1 4 8 0 1 6 13 21 0 1 9 22 37 53 0 1 14 38 67 98 130 0 1 22 66 122 183 246 310 0 1 35 | -| 42 | CompositionMax:Rev | AntiDiag | missing | 1 1 2 0 4 1 8 3 0 16 7 1 32 15 5 0 64 31 13 1 128 63 29 8 0 256 127 61 24 1 512 255 125 56 13 0 | -| 43 | CompositionMax:Rev | Diffx1 | missing | 1 1 0 2 2 0 4 6 3 0 8 14 15 4 0 16 30 39 32 5 0 32 62 87 96 65 6 0 64 126 183 224 220 126 7 0 128 | -| 44 | CompositionMax:Rev | RowSum | A039671 | 1 1 3 8 21 53 130 310 724 1661 3757 8398 18588 40800 88918 192592 414907 889631 1899554 4040864 | -| 45 | CompositionMax:Rev | EvenSum | missing | 1 1 2 5 13 30 74 170 395 895 2003 4466 9780 21480 46396 100602 215265 461864 981431 2087751 4412062 | -| 46 | CompositionMax:Rev | OddSum | missing | 0 0 1 3 8 23 56 140 329 766 1754 3932 8808 19320 42522 91990 199642 427767 918123 1953113 4155280 | -| 47 | CompositionMax:Rev | AltSum | missing | 1 1 1 2 5 7 18 30 66 129 249 534 972 2160 3874 8612 15623 34097 63308 134638 256782 531606 1040340 | -| 48 | CompositionMax:Rev | DiagSum | missing | 1 1 2 5 11 24 52 109 228 469 961 1953 3957 7986 16082 32326 64888 130131 260766 522298 1045666 | -| 49 | CompositionMax:Rev | AccSum | missing | 1 2 8 27 85 249 692 1840 4731 11834 28953 69546 164504 384070 886714 2027408 4596351 10342749 | -| 50 | CompositionMax:Rev | AccRevSum | missing | 1 1 4 13 41 122 348 950 2509 6437 16131 39628 95728 227930 535974 1246656 2871975 6560240 14871813 | -| 51 | CompositionMax:Rev | RowLcm | missing | 1 1 2 12 280 3120 1121952 2705472 2798064000 58511872024320 6967676101752221184 | -| 52 | CompositionMax:Rev | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 53 | CompositionMax:Rev | RowMax | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 54 | CompositionMax:Rev | ColMiddle | A336103 | 1 1 1 3 5 13 24 56 108 236 464 976 1936 3984 7936 16128 32192 64960 129792 260864 521472 1045760 | -| 55 | CompositionMax:Rev | CentralE | A008464 | 1 1 5 24 108 464 1936 7936 32192 129792 521472 2091008 8375296 33525760 134156288 536739840 | -| 56 | CompositionMax:Rev | CentralO | missing | 1 3 13 56 236 976 3984 16128 64960 260864 1045760 4188160 16763904 67080192 268374016 1073610752 | -| 57 | CompositionMax:Rev | ColLeft | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 58 | CompositionMax:Rev | BinConv | missing | 1 1 4 16 70 306 1334 5734 24420 102940 430360 1785829 7364042 30203057 123318368 501604024 | -| 59 | CompositionMax:Rev | InvBinConv | missing | 1 -1 0 2 6 4 -10 -50 -140 -310 -456 -199 1298 5953 19032 51192 117356 232678 407864 590272 448571 | -| 60 | CompositionMax:Rev | TransNat0 | missing | 0 0 1 5 20 69 218 640 1785 4776 12374 31230 77140 187130 447056 1054064 2457068 5670609 12972259 | -| 61 | CompositionMax:Rev | TransNat1 | missing | 1 1 4 13 41 122 348 950 2509 6437 16131 39628 95728 227930 535974 1246656 2871975 6560240 14871813 | -| 62 | CompositionMax:Rev | TransSqrs | missing | 0 0 1 7 36 155 596 2076 6733 20598 60194 169444 462456 1229752 3198582 8162302 20486194 50673923 | -| 63 | CompositionMax:Rev | PosHalf | missing | 1 2 10 46 206 890 3750 15510 63378 256902 1036038 4164690 16708062 66948942 268068874 1072907998 | -| 64 | CompositionMax:Rev | NegHalf | missing | 1 -2 6 -22 90 -346 1378 -5486 21886 -87502 349666 -1398578 5593002 -22371462 89481094 -357920678 | -| 65 | CompositionMax:Rev | DiagRow2 | A020695 | 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 75025 121393 | -| 66 | CompositionMax:Rev | DiagRow3 | B000073 | 4 7 13 24 44 81 149 274 504 927 1705 3136 5768 10609 19513 35890 66012 121415 223317 410744 755476 | -| 67 | CompositionMax:Rev | DiagCol1 | A000225 | 0 1 3 7 15 31 63 127 255 511 1023 2047 4095 8191 16383 32767 65535 131071 262143 524287 1048575 | -| 68 | CompositionMax:Rev | DiagCol2 | A344920 | 0 1 5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 | -| 69 | CompositionMax:Rev | DiagCol3 | B159741 | 0 1 8 24 56 120 248 504 1016 2040 4088 8184 16376 32760 65528 131064 262136 524280 1048568 2097144 | -| 70 | CompositionMax:Rev | Poly | missing | 1 1 1 2 1 1 4 3 1 1 8 8 4 1 1 16 21 14 5 1 1 32 53 50 22 6 1 1 64 130 178 101 32 7 1 1 128 310 642 | -| 71 | CompositionMax:Rev | PolyRow2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | -| 72 | CompositionMax:Rev | PolyRow3 | B014206 | 4 8 14 22 32 44 58 74 92 112 134 158 184 212 242 274 308 344 382 422 464 508 554 602 652 704 758 | -| 73 | CompositionMax:Rev | PolyCol2 | missing | 1 1 4 14 50 178 642 2322 8466 31026 114354 423666 1577202 5897586 22143346 83451506 315577970 | -| 74 | CompositionMax:Rev | PolyCol3 | missing | 1 1 5 22 101 475 2330 11710 60278 315121 1668017 8914750 48022172 260431336 1420794626 7792741876 | -| 75 | CompositionMax:Rev | PolyDiag | missing | 1 1 4 22 180 2041 31070 598942 14177208 399329149 13092880522 490371388398 20664114207812 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:-------------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | CompositionMax:Std | Triangle | missing | 1 0 1 0 1 2 0 1 3 4 0 1 5 7 8 0 1 8 13 15 16 0 1 13 24 29 31 32 0 1 21 44 56 61 63 64 0 1 34 81 108 | +| 1 | CompositionMax:Std | Rev | missing | 1 1 0 2 1 0 4 3 1 0 8 7 5 1 0 16 15 13 8 1 0 32 31 29 24 13 1 0 64 63 61 56 44 21 1 0 128 127 125 | +| 2 | CompositionMax:Std | Acc | missing | 1 0 1 0 1 3 0 1 4 8 0 1 6 13 21 0 1 9 22 37 53 0 1 14 38 67 98 130 0 1 22 66 122 183 246 310 0 1 35 | +| 3 | CompositionMax:Std | AccRev | missing | 1 1 1 2 3 3 4 7 8 8 8 15 20 21 21 16 31 44 52 53 53 32 63 92 116 129 130 130 64 127 188 244 288 309 | +| 4 | CompositionMax:Std | AntiDiag | missing | 1 0 0 1 0 1 0 1 2 0 1 3 0 1 5 4 0 1 8 7 0 1 13 13 8 0 1 21 24 15 0 1 34 44 29 16 0 1 55 81 56 31 0 | +| 5 | CompositionMax:Std | Diffx1 | missing | 1 0 2 0 2 6 0 2 9 16 0 2 15 28 40 0 2 24 52 75 96 0 2 39 96 145 186 224 0 2 63 176 280 366 441 512 | +| 6 | CompositionMax:Std | RowSum | A039671 | 1 1 3 8 21 53 130 310 724 1661 3757 8398 18588 40800 88918 192592 414907 889631 1899554 4040864 | +| 7 | CompositionMax:Std | EvenSum | missing | 1 0 2 3 13 23 74 140 395 766 2003 3932 9780 19320 46396 91990 215265 427767 981431 1953113 4412062 | +| 8 | CompositionMax:Std | OddSum | missing | 0 1 1 5 8 30 56 170 329 895 1754 4466 8808 21480 42522 100602 199642 461864 918123 2087751 4155280 | +| 9 | CompositionMax:Std | AltSum | missing | 1 -1 1 -2 5 -7 18 -30 66 -129 249 -534 972 -2160 3874 -8612 15623 -34097 63308 -134638 256782 | +| 10 | CompositionMax:Std | DiagSum | missing | 1 0 1 1 3 4 10 16 35 61 124 224 440 810 1564 2917 5591 10524 20132 38162 73050 139244 267042 511302 | +| 11 | CompositionMax:Std | AccSum | missing | 1 1 4 13 41 122 348 950 2509 6437 16131 39628 95728 227930 535974 1246656 2871975 6560240 14871813 | +| 12 | CompositionMax:Std | AccRevSum | missing | 1 2 8 27 85 249 692 1840 4731 11834 28953 69546 164504 384070 886714 2027408 4596351 10342749 | +| 13 | CompositionMax:Std | RowLcm | missing | 1 1 2 12 280 3120 1121952 2705472 2798064000 58511872024320 6967676101752221184 | +| 14 | CompositionMax:Std | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 15 | CompositionMax:Std | RowMax | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 16 | CompositionMax:Std | ColMiddle | missing | 1 0 1 1 5 8 24 44 108 208 464 912 1936 3840 7936 15808 32192 64256 129792 259328 521472 1042432 | +| 17 | CompositionMax:Std | CentralE | A008464 | 1 1 5 24 108 464 1936 7936 32192 129792 521472 2091008 8375296 33525760 134156288 536739840 | +| 18 | CompositionMax:Std | CentralO | B100575 | 0 1 8 44 208 912 3840 15808 64256 259328 1042432 4180992 16748544 67047424 268304384 1073463296 | +| 19 | CompositionMax:Std | ColRight | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 20 | CompositionMax:Std | BinConv | missing | 1 1 4 16 70 306 1334 5734 24420 102940 430360 1785829 7364042 30203057 123318368 501604024 | +| 21 | CompositionMax:Std | InvBinConv | missing | 1 1 0 -2 6 -4 -10 50 -140 310 -456 199 1298 -5953 19032 -51192 117356 -232678 407864 -590272 448571 | +| 22 | CompositionMax:Std | TransNat0 | missing | 0 1 5 19 64 196 562 1530 4007 10173 25196 61148 145916 343270 797796 1834816 4181444 9453118 | +| 23 | CompositionMax:Std | TransNat1 | missing | 1 2 8 27 85 249 692 1840 4731 11834 28953 69546 164504 384070 886714 2027408 4596351 10342749 | +| 24 | CompositionMax:Std | TransSqrs | missing | 0 1 9 49 212 790 2660 8306 24509 69171 188414 498542 1287768 3259572 8108942 19873582 48076210 | +| 25 | CompositionMax:Std | PosHalf | missing | 1 1 4 14 50 178 642 2322 8466 31026 114354 423666 1577202 5897586 22143346 83451506 315577970 | +| 26 | CompositionMax:Std | NegHalf | missing | 1 1 0 2 6 -10 70 -170 598 -1354 3382 -4490 -3978 88566 -530954 2598646 -11329802 46644470 | +| 27 | CompositionMax:Std | DiagRow1 | A000225 | 0 1 3 7 15 31 63 127 255 511 1023 2047 4095 8191 16383 32767 65535 131071 262143 524287 1048575 | +| 28 | CompositionMax:Std | DiagRow2 | A344920 | 0 1 5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 | +| 29 | CompositionMax:Std | DiagRow3 | B159741 | 0 1 8 24 56 120 248 504 1016 2040 4088 8184 16376 32760 65528 131064 262136 524280 1048568 2097144 | +| 30 | CompositionMax:Std | DiagCol2 | A020695 | 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 75025 121393 | +| 31 | CompositionMax:Std | DiagCol3 | B000073 | 4 7 13 24 44 81 149 274 504 927 1705 3136 5768 10609 19513 35890 66012 121415 223317 410744 755476 | +| 32 | CompositionMax:Std | Poly | missing | 1 0 1 0 1 1 0 3 2 1 0 8 10 3 1 0 21 46 21 4 1 0 53 206 138 36 5 1 0 130 890 885 308 55 6 1 0 310 | +| 33 | CompositionMax:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 34 | CompositionMax:Std | PolyRow2 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | +| 35 | CompositionMax:Std | PolyRow3 | missing | 0 8 46 138 308 580 978 1526 2248 3168 4310 5698 7356 9308 11578 14190 17168 20536 24318 28538 33220 | +| 36 | CompositionMax:Std | PolyCol2 | missing | 1 2 10 46 206 890 3750 15510 63378 256902 1036038 4164690 16708062 66948942 268068874 1072907998 | +| 37 | CompositionMax:Std | PolyCol3 | missing | 1 3 21 138 885 5529 33978 206634 1249086 7524723 45245001 271774362 1631594172 9792490728 | +| 38 | CompositionMax:Std | PolyDiag | missing | 1 1 10 138 2580 61205 1777290 61294450 2451008136 111513860901 5687482692910 321339842335578 | +| 39 | CompositionMax:Alt | Triangle | missing | 1 0 -1 0 -1 2 0 -1 3 -4 0 -1 5 -7 8 0 -1 8 -13 15 -16 0 -1 13 -24 29 -31 32 0 -1 21 -44 56 -61 63 | +| 40 | CompositionMax:Alt | Rev | missing | 1 -1 0 2 -1 0 -4 3 -1 0 8 -7 5 -1 0 -16 15 -13 8 -1 0 32 -31 29 -24 13 -1 0 -64 63 -61 56 -44 21 -1 | +| 41 | CompositionMax:Alt | Acc | missing | 1 0 -1 0 -1 1 0 -1 2 -2 0 -1 4 -3 5 0 -1 7 -6 9 -7 0 -1 12 -12 17 -14 18 0 -1 20 -24 32 -29 34 -30 | +| 42 | CompositionMax:Alt | AccRev | missing | 1 -1 -1 2 1 1 -4 -1 -2 -2 8 1 6 5 5 -16 -1 -14 -6 -7 -7 32 1 30 6 19 18 18 -64 -1 -62 -6 -50 -29 | +| 43 | CompositionMax:Alt | AntiDiag | missing | 1 0 0 -1 0 -1 0 -1 2 0 -1 3 0 -1 5 -4 0 -1 8 -7 0 -1 13 -13 8 0 -1 21 -24 15 0 -1 34 -44 29 -16 0 | +| 44 | CompositionMax:Alt | Diffx1 | missing | 1 0 -2 0 -2 6 0 -2 9 -16 0 -2 15 -28 40 0 -2 24 -52 75 -96 0 -2 39 -96 145 -186 224 0 -2 63 -176 | +| 45 | CompositionMax:Alt | RowSum | missing | 1 -1 1 -2 5 -7 18 -30 66 -129 249 -534 972 -2160 3874 -8612 15623 -34097 63308 -134638 256782 | +| 46 | CompositionMax:Alt | EvenSum | missing | 1 0 2 3 13 23 74 140 395 766 2003 3932 9780 19320 46396 91990 215265 427767 981431 1953113 4412062 | +| 47 | CompositionMax:Alt | OddSum | missing | 0 -1 -1 -5 -8 -30 -56 -170 -329 -895 -1754 -4466 -8808 -21480 -42522 -100602 -199642 -461864 | +| 48 | CompositionMax:Alt | AltSum | A039671 | 1 1 3 8 21 53 130 310 724 1661 3757 8398 18588 40800 88918 192592 414907 889631 1899554 4040864 | +| 49 | CompositionMax:Alt | DiagSum | missing | 1 0 -1 -1 1 2 0 0 7 11 2 -2 18 20 -46 -121 -151 -344 -976 -1940 -3236 -6058 -12112 -21928 -36979 | +| 50 | CompositionMax:Alt | AccSum | missing | 1 -1 0 -1 5 2 20 2 53 -57 83 -448 -32 -2342 -858 -10116 -3685 -38836 -7919 -135965 15832 -436276 | +| 51 | CompositionMax:Alt | AccRevSum | missing | 1 -2 4 -9 25 -51 124 -272 607 -1362 2905 -6494 13640 -30058 62842 -136288 284899 -609007 1274079 | +| 52 | CompositionMax:Alt | RowLcm | missing | 1 1 2 12 280 3120 1121952 2705472 2798064000 58511872024320 6967676101752221184 | +| 53 | CompositionMax:Alt | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 54 | CompositionMax:Alt | RowMax | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 55 | CompositionMax:Alt | ColMiddle | missing | 1 0 -1 -1 5 8 -24 -44 108 208 -464 -912 1936 3840 -7936 -15808 32192 64256 -129792 -259328 521472 | +| 56 | CompositionMax:Alt | CentralE | A008464 | 1 -1 5 -24 108 -464 1936 -7936 32192 -129792 521472 -2091008 8375296 -33525760 134156288 -536739840 | +| 57 | CompositionMax:Alt | CentralO | B100575 | 0 -1 8 -44 208 -912 3840 -15808 64256 -259328 1042432 -4180992 16748544 -67047424 268304384 | +| 58 | CompositionMax:Alt | ColRight | A011782 | 1 -1 2 -4 8 -16 32 -64 128 -256 512 -1024 2048 -4096 8192 -16384 32768 -65536 131072 -262144 524288 | +| 59 | CompositionMax:Alt | BinConv | missing | 1 -1 0 2 6 4 -10 -50 -140 -310 -456 -199 1298 5953 19032 51192 117356 232678 407864 590272 448571 | +| 60 | CompositionMax:Alt | InvBinConv | missing | 1 -1 4 -16 70 -306 1334 -5734 24420 -102940 430360 -1785829 7364042 -30203057 123318368 -501604024 | +| 61 | CompositionMax:Alt | TransNat0 | missing | 0 -1 3 -7 20 -44 106 -242 541 -1233 2656 -5960 12668 -27898 58968 -127676 269276 -574910 1210771 | +| 62 | CompositionMax:Alt | TransNat1 | missing | 1 -2 4 -9 25 -51 124 -272 607 -1362 2905 -6494 13640 -30058 62842 -136288 284899 -609007 1274079 | +| 63 | CompositionMax:Alt | TransSqrs | missing | 0 -1 7 -25 84 -246 676 -1810 4603 -11579 28106 -67734 159576 -373068 859850 -1966358 4456910 | +| 64 | CompositionMax:Alt | PosHalf | missing | 1 -1 0 -2 6 10 70 170 598 1354 3382 4490 -3978 -88566 -530954 -2598646 -11329802 -46644470 | +| 65 | CompositionMax:Alt | NegHalf | missing | 1 -1 4 -14 50 -178 642 -2322 8466 -31026 114354 -423666 1577202 -5897586 22143346 -83451506 | +| 66 | CompositionMax:Alt | DiagRow1 | A000225 | 0 -1 3 -7 15 -31 63 -127 255 -511 1023 -2047 4095 -8191 16383 -32767 65535 -131071 262143 -524287 | +| 67 | CompositionMax:Alt | DiagRow2 | A344920 | 0 -1 5 -13 29 -61 125 -253 509 -1021 2045 -4093 8189 -16381 32765 -65533 131069 -262141 524285 | +| 68 | CompositionMax:Alt | DiagRow3 | B159741 | 0 -1 8 -24 56 -120 248 -504 1016 -2040 4088 -8184 16376 -32760 65528 -131064 262136 -524280 1048568 | +| 69 | CompositionMax:Alt | DiagCol2 | A020695 | 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 75025 121393 | +| 70 | CompositionMax:Alt | DiagCol3 | B000073 | -4 -7 -13 -24 -44 -81 -149 -274 -504 -927 -1705 -3136 -5768 -10609 -19513 -35890 -66012 -121415 | +| 71 | CompositionMax:Alt | Poly | missing | 1 0 1 0 -1 1 0 1 -2 1 0 -2 6 -3 1 0 5 -22 15 -4 1 0 -7 90 -84 28 -5 1 0 18 -346 501 -212 45 -6 1 0 | +| 72 | CompositionMax:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 73 | CompositionMax:Alt | PolyRow2 | A000384 | 0 1 6 15 28 45 66 91 120 153 190 231 276 325 378 435 496 561 630 703 780 861 946 1035 1128 1225 | +| 74 | CompositionMax:Alt | PolyRow3 | missing | 0 -2 -22 -84 -212 -430 -762 -1232 -1864 -2682 -3710 -4972 -6492 -8294 -10402 -12840 -15632 -18802 | +| 75 | CompositionMax:Alt | PolyCol2 | missing | 1 -2 6 -22 90 -346 1378 -5486 21886 -87502 349666 -1398578 5593002 -22371462 89481094 -357920678 | +| 76 | CompositionMax:Alt | PolyCol3 | missing | 1 -3 15 -84 501 -2955 17610 -105330 630888 -3782343 22684173 -136077330 816378252 -4898015688 | +| 77 | CompositionMax:Alt | PolyDiag | missing | 1 -1 6 -84 1676 -42055 1284798 -46199706 1910384248 -89293700169 4655309344890 -267832813598834 | +| 78 | CompositionMax:Rev | Triangle | missing | 1 1 0 2 1 0 4 3 1 0 8 7 5 1 0 16 15 13 8 1 0 32 31 29 24 13 1 0 64 63 61 56 44 21 1 0 128 127 125 | +| 79 | CompositionMax:Rev | Acc | missing | 1 1 1 2 3 3 4 7 8 8 8 15 20 21 21 16 31 44 52 53 53 32 63 92 116 129 130 130 64 127 188 244 288 309 | +| 80 | CompositionMax:Rev | AccRev | missing | 1 0 1 0 1 3 0 1 4 8 0 1 6 13 21 0 1 9 22 37 53 0 1 14 38 67 98 130 0 1 22 66 122 183 246 310 0 1 35 | +| 81 | CompositionMax:Rev | AntiDiag | missing | 1 1 2 0 4 1 8 3 0 16 7 1 32 15 5 0 64 31 13 1 128 63 29 8 0 256 127 61 24 1 512 255 125 56 13 0 | +| 82 | CompositionMax:Rev | Diffx1 | missing | 1 1 0 2 2 0 4 6 3 0 8 14 15 4 0 16 30 39 32 5 0 32 62 87 96 65 6 0 64 126 183 224 220 126 7 0 128 | +| 83 | CompositionMax:Rev | RowSum | A039671 | 1 1 3 8 21 53 130 310 724 1661 3757 8398 18588 40800 88918 192592 414907 889631 1899554 4040864 | +| 84 | CompositionMax:Rev | EvenSum | missing | 1 1 2 5 13 30 74 170 395 895 2003 4466 9780 21480 46396 100602 215265 461864 981431 2087751 4412062 | +| 85 | CompositionMax:Rev | OddSum | missing | 0 0 1 3 8 23 56 140 329 766 1754 3932 8808 19320 42522 91990 199642 427767 918123 1953113 4155280 | +| 86 | CompositionMax:Rev | AltSum | missing | 1 1 1 2 5 7 18 30 66 129 249 534 972 2160 3874 8612 15623 34097 63308 134638 256782 531606 1040340 | +| 87 | CompositionMax:Rev | DiagSum | missing | 1 1 2 5 11 24 52 109 228 469 961 1953 3957 7986 16082 32326 64888 130131 260766 522298 1045666 | +| 88 | CompositionMax:Rev | AccSum | missing | 1 2 8 27 85 249 692 1840 4731 11834 28953 69546 164504 384070 886714 2027408 4596351 10342749 | +| 89 | CompositionMax:Rev | AccRevSum | missing | 1 1 4 13 41 122 348 950 2509 6437 16131 39628 95728 227930 535974 1246656 2871975 6560240 14871813 | +| 90 | CompositionMax:Rev | RowLcm | missing | 1 1 2 12 280 3120 1121952 2705472 2798064000 58511872024320 6967676101752221184 | +| 91 | CompositionMax:Rev | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 92 | CompositionMax:Rev | RowMax | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 93 | CompositionMax:Rev | ColMiddle | A336103 | 1 1 1 3 5 13 24 56 108 236 464 976 1936 3984 7936 16128 32192 64960 129792 260864 521472 1045760 | +| 94 | CompositionMax:Rev | CentralE | A008464 | 1 1 5 24 108 464 1936 7936 32192 129792 521472 2091008 8375296 33525760 134156288 536739840 | +| 95 | CompositionMax:Rev | CentralO | missing | 1 3 13 56 236 976 3984 16128 64960 260864 1045760 4188160 16763904 67080192 268374016 1073610752 | +| 96 | CompositionMax:Rev | ColLeft | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 97 | CompositionMax:Rev | BinConv | missing | 1 1 4 16 70 306 1334 5734 24420 102940 430360 1785829 7364042 30203057 123318368 501604024 | +| 98 | CompositionMax:Rev | InvBinConv | missing | 1 -1 0 2 6 4 -10 -50 -140 -310 -456 -199 1298 5953 19032 51192 117356 232678 407864 590272 448571 | +| 99 | CompositionMax:Rev | TransNat0 | missing | 0 0 1 5 20 69 218 640 1785 4776 12374 31230 77140 187130 447056 1054064 2457068 5670609 12972259 | +| 100 | CompositionMax:Rev | TransNat1 | missing | 1 1 4 13 41 122 348 950 2509 6437 16131 39628 95728 227930 535974 1246656 2871975 6560240 14871813 | +| 101 | CompositionMax:Rev | TransSqrs | missing | 0 0 1 7 36 155 596 2076 6733 20598 60194 169444 462456 1229752 3198582 8162302 20486194 50673923 | +| 102 | CompositionMax:Rev | PosHalf | missing | 1 2 10 46 206 890 3750 15510 63378 256902 1036038 4164690 16708062 66948942 268068874 1072907998 | +| 103 | CompositionMax:Rev | NegHalf | missing | 1 -2 6 -22 90 -346 1378 -5486 21886 -87502 349666 -1398578 5593002 -22371462 89481094 -357920678 | +| 104 | CompositionMax:Rev | DiagRow2 | A020695 | 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 75025 121393 | +| 105 | CompositionMax:Rev | DiagRow3 | B000073 | 4 7 13 24 44 81 149 274 504 927 1705 3136 5768 10609 19513 35890 66012 121415 223317 410744 755476 | +| 106 | CompositionMax:Rev | DiagCol1 | A000225 | 0 1 3 7 15 31 63 127 255 511 1023 2047 4095 8191 16383 32767 65535 131071 262143 524287 1048575 | +| 107 | CompositionMax:Rev | DiagCol2 | A344920 | 0 1 5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 | +| 108 | CompositionMax:Rev | DiagCol3 | B159741 | 0 1 8 24 56 120 248 504 1016 2040 4088 8184 16376 32760 65528 131064 262136 524280 1048568 2097144 | +| 109 | CompositionMax:Rev | Poly | missing | 1 1 1 2 1 1 4 3 1 1 8 8 4 1 1 16 21 14 5 1 1 32 53 50 22 6 1 1 64 130 178 101 32 7 1 1 128 310 642 | +| 110 | CompositionMax:Rev | PolyRow2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | +| 111 | CompositionMax:Rev | PolyRow3 | B014206 | 4 8 14 22 32 44 58 74 92 112 134 158 184 212 242 274 308 344 382 422 464 508 554 602 652 704 758 | +| 112 | CompositionMax:Rev | PolyCol2 | missing | 1 1 4 14 50 178 642 2322 8466 31026 114354 423666 1577202 5897586 22143346 83451506 315577970 | +| 113 | CompositionMax:Rev | PolyCol3 | missing | 1 1 5 22 101 475 2330 11710 60278 315121 1668017 8914750 48022172 260431336 1420794626 7792741876 | +| 114 | CompositionMax:Rev | PolyDiag | missing | 1 1 4 22 180 2041 31070 598942 14177208 399329149 13092880522 490371388398 20664114207812 | \ No newline at end of file diff --git a/data/md/Delannoy.md b/data/md/Delannoy.md index 8da254e..7b98e89 100644 --- a/data/md/Delannoy.md +++ b/data/md/Delannoy.md @@ -42,81 +42,123 @@ | 39 | Delannoy:Std | PolyCol2 | A007482 | 1 3 11 39 139 495 1763 6279 22363 79647 283667 1010295 3598219 12815247 45642179 162557031 | | 40 | Delannoy:Std | PolyCol3 | B015530 | 1 4 19 88 409 1900 8827 41008 190513 885076 4111843 19102600 88745929 412291516 1915403851 | | 41 | Delannoy:Std | PolyDiag | missing | 1 2 11 88 941 12546 200479 3735264 79524793 1905008050 50720779691 1486111590360 47524305052069 | -| 42 | Delannoy:Inv | Triangle | A103136 | 1 -1 1 2 -3 1 -6 10 -5 1 22 -38 22 -7 1 -90 158 -98 38 -9 1 394 -698 450 -194 58 -11 1 -1806 3218 | -| 43 | Delannoy:Inv | Rev | A033878 | 1 1 -1 1 -3 2 1 -5 10 -6 1 -7 22 -38 22 1 -9 38 -98 158 -90 1 -11 58 -194 450 -698 394 1 -13 82 | -| 44 | Delannoy:Inv | RevInv | A008288 | 1 1 1 1 3 1 1 5 5 1 1 7 13 7 1 1 9 25 25 9 1 1 11 41 63 41 11 1 1 13 61 129 129 61 13 1 1 15 85 231 | -| 45 | Delannoy:Inv | Acc | B122538 | 1 -1 0 2 -1 0 -6 4 -1 0 22 -16 6 -1 0 -90 68 -30 8 -1 0 394 -304 146 -48 10 -1 0 -1806 1412 -714 | -| 46 | Delannoy:Inv | AccRev | B106579 | 1 1 0 1 -2 0 1 -4 6 0 1 -6 16 -22 0 1 -8 30 -68 90 0 1 -10 48 -146 304 -394 0 1 -12 70 -264 714 | -| 47 | Delannoy:Inv | AntiDiag | missing | 1 -1 2 1 -6 -3 22 10 1 -90 -38 -5 394 158 22 1 -1806 -698 -98 -7 8558 3218 450 38 1 -41586 -15310 | -| 48 | Delannoy:Inv | Diffx1 | missing | 1 -1 2 2 -6 3 -6 20 -15 4 22 -76 66 -28 5 -90 316 -294 152 -45 6 394 -1396 1350 -776 290 -66 7 | -| 49 | Delannoy:Inv | EvenSum | A001003 | 1 -1 3 -11 45 -197 903 -4279 20793 -103049 518859 -2646723 13648869 -71039373 372693519 -1968801519 | -| 50 | Delannoy:Inv | OddSum | B001003 | 0 1 -3 11 -45 197 -903 4279 -20793 103049 -518859 2646723 -13648869 71039373 -372693519 1968801519 | -| 51 | Delannoy:Inv | AltSum | A006318 | 1 -2 6 -22 90 -394 1806 -8558 41586 -206098 1037718 -5293446 27297738 -142078746 745387038 | -| 52 | Delannoy:Inv | DiagSum | missing | 1 -1 3 -9 33 -133 575 -2609 12265 -59225 292035 -1464361 7444265 -38279053 198746911 -1040489377 | -| 53 | Delannoy:Inv | AccSum | A001003 | 1 -1 1 -3 11 -45 197 -903 4279 -20793 103049 -518859 2646723 -13648869 71039373 -372693519 | -| 54 | Delannoy:Inv | AccRevSum | A001003 | 1 1 -1 3 -11 45 -197 903 -4279 20793 -103049 518859 -2646723 13648869 -71039373 372693519 | -| 55 | Delannoy:Inv | RowLcm | missing | 1 1 6 30 2926 6619410 957340835550 44816541527197986 603669538270861563270 | -| 56 | Delannoy:Inv | RowMax | B103138 | 1 1 3 10 38 158 698 3218 15310 74614 370610 1869338 9549174 49302030 256859754 1348695330 | -| 57 | Delannoy:Inv | ColMiddle | missing | 1 -1 -3 10 22 -98 -194 978 1838 -9922 -18082 101946 182054 -1057730 -1861890 11058466 19258078 | -| 58 | Delannoy:Inv | CentralE | A367393 | 1 -3 22 -194 1838 -18082 182054 -1861890 19258078 -200898626 2109785654 -22275498434 236225927182 | -| 59 | Delannoy:Inv | CentralO | missing | -1 10 -98 978 -9922 101946 -1057730 11058466 -116323586 1229718378 -13053926690 139056632050 | -| 60 | Delannoy:Inv | ColLeft | A086456 | 1 -1 2 -6 22 -90 394 -1806 8558 -41586 206098 -1037718 5293446 -27297738 142078746 -745387038 | -| 61 | Delannoy:Inv | BinConv | A000247 | 1 0 -3 10 -25 56 -119 246 -501 1012 -2035 4082 -8177 16368 -32751 65518 -131053 262124 -524267 | -| 62 | Delannoy:Inv | InvBinConv | missing | 1 2 9 52 335 2286 16149 116712 857115 6369250 47759393 360677340 2739503143 20906246102 | -| 63 | Delannoy:Inv | TransNat0 | A001003 | 0 1 -1 3 -11 45 -197 903 -4279 20793 -103049 518859 -2646723 13648869 -71039373 372693519 | -| 64 | Delannoy:Inv | TransNat1 | A001003 | 1 1 -1 3 -11 45 -197 903 -4279 20793 -103049 518859 -2646723 13648869 -71039373 372693519 | -| 65 | Delannoy:Inv | TransSqrs | B080243 | 0 1 1 -1 3 -11 45 -197 903 -4279 20793 -103049 518859 -2646723 13648869 -71039373 372693519 | -| 66 | Delannoy:Inv | PosHalf | A330803 | 1 -1 3 -17 123 -1001 8739 -79969 756939 -7349657 72798003 -732681489 7471545435 -77031538377 | -| 67 | Delannoy:Inv | NegHalf | missing | 1 3 15 99 759 6363 56559 523827 5001063 48872907 486514335 4916196387 50297275287 519977383227 | -| 68 | Delannoy:Inv | DiagRow1 | A005408 | -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 -51 | -| 69 | Delannoy:Inv | DiagRow2 | A090288 | 2 10 22 38 58 82 110 142 178 218 262 310 362 418 478 542 610 682 758 838 922 1010 1102 1198 1298 | -| 70 | Delannoy:Inv | DiagRow3 | missing | -6 -38 -98 -194 -334 -526 -778 -1098 -1494 -1974 -2546 -3218 -3998 -4894 -5914 -7066 -8358 -9798 | -| 71 | Delannoy:Inv | DiagCol1 | B103138 | 1 -3 10 -38 158 -698 3218 -15310 74614 -370610 1869338 -9549174 49302030 -256859754 1348695330 | -| 72 | Delannoy:Inv | DiagCol2 | missing | 1 -5 22 -98 450 -2126 10286 -50746 254410 -1292630 6642118 -34459410 180259986 -949756830 | -| 73 | Delannoy:Inv | DiagCol3 | missing | 1 -7 38 -194 978 -4942 25150 -129050 667610 -3480150 18268118 -96498546 512637090 -2737284510 | -| 74 | Delannoy:Inv | Poly | missing | 1 -1 1 2 0 1 -6 0 1 1 22 0 0 2 1 -90 0 2 2 3 1 394 0 -6 6 6 4 1 -1806 0 26 -2 18 12 5 1 8558 0 -114 | -| 75 | Delannoy:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | -| 76 | Delannoy:Inv | PolyRow2 | A279019 | 2 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | -| 77 | Delannoy:Inv | PolyRow3 | missing | -6 0 2 6 18 44 90 162 266 408 594 830 1122 1476 1898 2394 2970 3632 4386 5238 6194 7260 8442 9746 | -| 78 | Delannoy:Inv | PolyCol2 | A114710 | 1 1 0 2 -6 26 -114 526 -2502 12194 -60570 305526 -1560798 8058714 -41987106 220470942 -1165553718 | -| 79 | Delannoy:Inv | PolyCol3 | missing | 1 2 2 6 -2 42 -134 702 -3226 15954 -79118 400182 -2046450 10579194 -55170582 289937646 -1533895050 | -| 80 | Delannoy:Inv | PolyDiag | missing | 1 0 0 6 30 500 6790 122346 2462334 56634312 1454230998 41308886190 1285755264222 43519683768444 | -| 81 | Delannoy:Inv:Rev | Triangle | A033878 | 1 1 -1 1 -3 2 1 -5 10 -6 1 -7 22 -38 22 1 -9 38 -98 158 -90 1 -11 58 -194 450 -698 394 1 -13 82 | -| 82 | Delannoy:Inv:Rev | Rev | A103136 | 1 -1 1 2 -3 1 -6 10 -5 1 22 -38 22 -7 1 -90 158 -98 38 -9 1 394 -698 450 -194 58 -11 1 -1806 3218 | -| 83 | Delannoy:Inv:Rev | InvRev | A008288 | 1 1 1 1 3 1 1 5 5 1 1 7 13 7 1 1 9 25 25 9 1 1 11 41 63 41 11 1 1 13 61 129 129 61 13 1 1 15 85 231 | -| 84 | Delannoy:Inv:Rev | Acc | B106579 | 1 1 0 1 -2 0 1 -4 6 0 1 -6 16 -22 0 1 -8 30 -68 90 0 1 -10 48 -146 304 -394 0 1 -12 70 -264 714 | -| 85 | Delannoy:Inv:Rev | AccRev | B122538 | 1 -1 0 2 -1 0 -6 4 -1 0 22 -16 6 -1 0 -90 68 -30 8 -1 0 394 -304 146 -48 10 -1 0 -1806 1412 -714 | -| 86 | Delannoy:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -3 1 -5 2 1 -7 10 1 -9 22 -6 1 -11 38 -38 1 -13 58 -98 22 1 -15 82 -194 158 1 -17 110 | -| 87 | Delannoy:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -6 6 1 -10 30 -24 1 -14 66 -152 110 1 -18 114 -392 790 -540 1 -22 174 -776 2250 -4188 2758 | -| 88 | Delannoy:Inv:Rev | EvenSum | A001003 | 1 1 3 11 45 197 903 4279 20793 103049 518859 2646723 13648869 71039373 372693519 1968801519 | -| 89 | Delannoy:Inv:Rev | OddSum | B001003 | 0 -1 -3 -11 -45 -197 -903 -4279 -20793 -103049 -518859 -2646723 -13648869 -71039373 -372693519 | -| 90 | Delannoy:Inv:Rev | AltSum | A006318 | 1 2 6 22 90 394 1806 8558 41586 206098 1037718 5293446 27297738 142078746 745387038 3937603038 | -| 91 | Delannoy:Inv:Rev | DiagSum | missing | 1 1 0 -2 -2 4 8 -10 -30 32 120 -122 -514 516 2320 -2322 -10878 10880 52464 -52466 -258562 258564 | -| 92 | Delannoy:Inv:Rev | AccSum | A001003 | 1 1 -1 3 -11 45 -197 903 -4279 20793 -103049 518859 -2646723 13648869 -71039373 372693519 | -| 93 | Delannoy:Inv:Rev | AccRevSum | A001003 | 1 -1 1 -3 11 -45 197 -903 4279 -20793 103049 -518859 2646723 -13648869 71039373 -372693519 | -| 94 | Delannoy:Inv:Rev | RowLcm | missing | 1 1 6 30 2926 6619410 957340835550 44816541527197986 603669538270861563270 | -| 95 | Delannoy:Inv:Rev | RowMax | B103138 | 1 1 3 10 38 158 698 3218 15310 74614 370610 1869338 9549174 49302030 256859754 1348695330 | -| 96 | Delannoy:Inv:Rev | ColMiddle | missing | 1 1 -3 -5 22 38 -194 -334 1838 3142 -18082 -30710 182054 307526 -1861890 -3131166 19258078 32268038 | -| 97 | Delannoy:Inv:Rev | CentralE | A367393 | 1 -3 22 -194 1838 -18082 182054 -1861890 19258078 -200898626 2109785654 -22275498434 236225927182 | -| 98 | Delannoy:Inv:Rev | CentralO | missing | 1 -5 38 -334 3142 -30710 307526 -3131166 32268038 -335589094 3515178086 -37032111214 391969355078 | -| 99 | Delannoy:Inv:Rev | ColRight | A086456 | 1 -1 2 -6 22 -90 394 -1806 8558 -41586 206098 -1037718 5293446 -27297738 142078746 -745387038 | -| 100 | Delannoy:Inv:Rev | BinConv | A000247 | 1 0 -3 10 -25 56 -119 246 -501 1012 -2035 4082 -8177 16368 -32751 65518 -131053 262124 -524267 | -| 101 | Delannoy:Inv:Rev | InvBinConv | missing | 1 -2 9 -52 335 -2286 16149 -116712 857115 -6369250 47759393 -360677340 2739503143 -20906246102 | -| 102 | Delannoy:Inv:Rev | TransNat0 | A001003 | 0 -1 1 -3 11 -45 197 -903 4279 -20793 103049 -518859 2646723 -13648869 71039373 -372693519 | -| 103 | Delannoy:Inv:Rev | TransNat1 | A001003 | 1 -1 1 -3 11 -45 197 -903 4279 -20793 103049 -518859 2646723 -13648869 71039373 -372693519 | -| 104 | Delannoy:Inv:Rev | TransSqrs | missing | 0 -1 5 -19 91 -461 2409 -12839 69367 -378553 2081773 -11517947 64040211 -357517317 2002751313 | -| 105 | Delannoy:Inv:Rev | PosHalf | A114710 | 1 1 0 2 -6 26 -114 526 -2502 12194 -60570 305526 -1560798 8058714 -41987106 220470942 -1165553718 | -| 106 | Delannoy:Inv:Rev | NegHalf | missing | 1 -3 12 -54 258 -1278 6486 -33498 175314 -927126 4944462 -26553618 143441370 -778755006 4246293798 | -| 107 | Delannoy:Inv:Rev | DiagRow1 | B103138 | 1 -3 10 -38 158 -698 3218 -15310 74614 -370610 1869338 -9549174 49302030 -256859754 1348695330 | -| 108 | Delannoy:Inv:Rev | DiagRow2 | missing | 1 -5 22 -98 450 -2126 10286 -50746 254410 -1292630 6642118 -34459410 180259986 -949756830 | -| 109 | Delannoy:Inv:Rev | DiagRow3 | missing | 1 -7 38 -194 978 -4942 25150 -129050 667610 -3480150 18268118 -96498546 512637090 -2737284510 | -| 110 | Delannoy:Inv:Rev | DiagCol1 | A005408 | -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 -51 | -| 111 | Delannoy:Inv:Rev | DiagCol2 | A090288 | 2 10 22 38 58 82 110 142 178 218 262 310 362 418 478 542 610 682 758 838 922 1010 1102 1198 1298 | -| 112 | Delannoy:Inv:Rev | DiagCol3 | missing | -6 -38 -98 -194 -334 -526 -778 -1098 -1494 -1974 -2546 -3218 -3998 -4894 -5914 -7066 -8358 -9798 | -| 113 | Delannoy:Inv:Rev | Poly | A107889 | 1 1 1 1 0 1 1 0 -1 1 1 0 3 -2 1 1 0 -17 10 -3 1 1 0 123 -86 21 -4 1 1 0 -1001 934 -243 36 -5 1 1 0 | -| 114 | Delannoy:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 115 | Delannoy:Inv:Rev | PolyRow2 | A014105 | 1 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | -| 116 | Delannoy:Inv:Rev | PolyRow3 | missing | 1 0 -17 -86 -243 -524 -965 -1602 -2471 -3608 -5049 -6830 -8987 -11556 -14573 -18074 -22095 -26672 | -| 117 | Delannoy:Inv:Rev | PolyCol2 | A330803 | 1 -1 3 -17 123 -1001 8739 -79969 756939 -7349657 72798003 -732681489 7471545435 -77031538377 | -| 118 | Delannoy:Inv:Rev | PolyCol3 | missing | 1 -2 10 -86 934 -11402 149314 -2049518 29099278 -423818258 6296849530 -95062740038 1454108487862 | -| 119 | Delannoy:Inv:Rev | PolyDiag | missing | 1 0 3 -86 3525 -193844 13498135 -1142218314 114013757193 -13129297043912 1714571894899611 | \ No newline at end of file +| 42 | Delannoy:Alt | Triangle | A008288 | 1 1 -1 1 -3 1 1 -5 5 -1 1 -7 13 -7 1 1 -9 25 -25 9 -1 1 -11 41 -63 41 -11 1 1 -13 61 -129 129 -61 | +| 43 | Delannoy:Alt | Rev | A008288 | 1 -1 1 1 -3 1 -1 5 -5 1 1 -7 13 -7 1 -1 9 -25 25 -9 1 1 -11 41 -63 41 -11 1 -1 13 -61 129 -129 61 | +| 44 | Delannoy:Alt | Inv | missing | 1 -1 1 -4 3 1 14 -10 -5 1 142 -102 -48 7 1 -838 602 282 -38 -9 1 -14006 10062 4714 -642 -140 11 1 | +| 45 | Delannoy:Alt | RevInv | missing | 1 1 -1 1 3 -4 1 -5 -10 14 1 7 -48 -102 142 1 -9 -38 282 602 -838 1 11 -140 -642 4714 10062 -14006 1 | +| 46 | Delannoy:Alt | InvRev | A103136 | 1 1 1 2 3 1 6 10 5 1 22 38 22 7 1 90 158 98 38 9 1 394 698 450 194 58 11 1 1806 3218 2126 978 334 | +| 47 | Delannoy:Alt | Acc | missing | 1 1 0 1 -2 -1 1 -4 1 0 1 -6 7 0 1 1 -8 17 -8 1 0 1 -10 31 -32 9 -2 -1 1 -12 49 -80 49 -12 1 0 1 -14 | +| 48 | Delannoy:Alt | AccRev | missing | 1 -1 0 1 -2 -1 -1 4 -1 0 1 -6 7 0 1 -1 8 -17 8 -1 0 1 -10 31 -32 9 -2 -1 -1 12 -49 80 -49 12 -1 0 1 | +| 49 | Delannoy:Alt | AntiDiag | missing | 1 1 1 -1 1 -3 1 -5 1 1 -7 5 1 -9 13 -1 1 -11 25 -7 1 -13 41 -25 1 1 -15 61 -63 9 1 -17 85 -129 41 | +| 50 | Delannoy:Alt | Diffx1 | missing | 1 1 -2 1 -6 3 1 -10 15 -4 1 -14 39 -28 5 1 -18 75 -100 45 -6 1 -22 123 -252 205 -66 7 1 -26 183 | +| 51 | Delannoy:Alt | RowSum | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | +| 52 | Delannoy:Alt | EvenSum | A116404 | 1 1 2 6 15 35 84 204 493 1189 2870 6930 16731 40391 97512 235416 568345 1372105 3312554 7997214 | +| 53 | Delannoy:Alt | OddSum | missing | 0 -1 -3 -6 -14 -35 -85 -204 -492 -1189 -2871 -6930 -16730 -40391 -97513 -235416 -568344 -1372105 | +| 54 | Delannoy:Alt | AltSum | A077985 | 1 2 5 12 29 70 169 408 985 2378 5741 13860 33461 80782 195025 470832 1136689 2744210 6625109 | +| 55 | Delannoy:Alt | DiagSum | B057597 | 1 1 0 -2 -3 -1 4 8 5 -7 -20 -18 9 47 56 0 -103 -159 -56 206 421 271 -356 -1048 -963 441 2452 2974 | +| 56 | Delannoy:Alt | AccSum | A008619 | 1 1 -2 -2 3 3 -4 -4 5 5 -6 -6 7 7 -8 -8 9 9 -10 -10 11 11 -12 -12 13 13 -14 -14 15 15 -16 -16 | +| 57 | Delannoy:Alt | AccRevSum | A008619 | 1 -1 -2 2 3 -3 -4 4 5 -5 -6 6 7 -7 -8 8 9 -9 -10 10 11 -11 -12 12 13 -13 -14 14 15 -15 -16 16 | +| 58 | Delannoy:Alt | RowLcm | missing | 1 1 3 5 91 225 28413 102297 2100945 493191777 687316036275 1234284016329 15595691983727999 | +| 59 | Delannoy:Alt | RowGcd | B064894 | 1 1 3 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 60 | Delannoy:Alt | RowMax | A026003 | 1 1 3 5 13 25 63 129 321 681 1683 3653 8989 19825 48639 108545 265729 598417 1462563 3317445 | +| 61 | Delannoy:Alt | ColMiddle | A026003 | 1 1 -3 -5 13 25 -63 -129 321 681 -1683 -3653 8989 19825 -48639 -108545 265729 598417 -1462563 | +| 62 | Delannoy:Alt | CentralE | A001850 | 1 -3 13 -63 321 -1683 8989 -48639 265729 -1462563 8097453 -45046719 251595969 -1409933619 | +| 63 | Delannoy:Alt | CentralO | B002002 | 1 -5 25 -129 681 -3653 19825 -108545 598417 -3317445 18474633 -103274625 579168825 -3256957317 | +| 64 | Delannoy:Alt | BinConv | missing | 1 0 -4 0 24 0 -160 0 1120 0 -8064 0 59136 0 -439296 0 3294720 0 -24893440 0 189190144 0 -1444724736 | +| 65 | Delannoy:Alt | InvBinConv | A006139 | 1 -2 8 -32 136 -592 2624 -11776 53344 -243392 1116928 -5149696 23835904 -110690816 515483648 | +| 66 | Delannoy:Alt | TransNat0 | A001057 | 0 -1 -1 2 2 -3 -3 4 4 -5 -5 6 6 -7 -7 8 8 -9 -9 10 10 -11 -11 12 12 -13 -13 14 14 -15 -15 16 | +| 67 | Delannoy:Alt | TransNat1 | A008619 | 1 -1 -2 2 3 -3 -4 4 5 -5 -6 6 7 -7 -8 8 9 -9 -10 10 11 -11 -12 12 13 -13 -14 14 15 -15 -16 16 | +| 68 | Delannoy:Alt | TransSqrs | missing | 0 -1 1 6 -2 -15 3 28 -4 -45 5 66 -6 -91 7 120 -8 -153 9 190 -10 -231 11 276 -12 -325 13 378 -14 | +| 69 | Delannoy:Alt | PosHalf | A077020 | 1 1 -1 -3 -1 5 7 -3 -17 -11 23 45 -1 -91 -89 93 271 85 -457 -627 287 1541 967 -2115 -4049 181 8279 | +| 70 | Delannoy:Alt | NegHalf | A007482 | 1 -3 11 -39 139 -495 1763 -6279 22363 -79647 283667 -1010295 3598219 -12815247 45642179 -162557031 | +| 71 | Delannoy:Alt | DiagRow1 | A005408 | 1 -3 5 -7 9 -11 13 -15 17 -19 21 -23 25 -27 29 -31 33 -35 37 -39 41 -43 45 -47 49 -51 53 -55 57 -59 | +| 72 | Delannoy:Alt | DiagRow2 | A001844 | 1 -5 13 -25 41 -61 85 -113 145 -181 221 -265 313 -365 421 -481 545 -613 685 -761 841 -925 1013 | +| 73 | Delannoy:Alt | DiagRow3 | A001845 | 1 -7 25 -63 129 -231 377 -575 833 -1159 1561 -2047 2625 -3303 4089 -4991 6017 -7175 8473 -9919 | +| 74 | Delannoy:Alt | DiagCol1 | A005408 | -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 -51 | +| 75 | Delannoy:Alt | DiagCol2 | A001844 | 1 5 13 25 41 61 85 113 145 181 221 265 313 365 421 481 545 613 685 761 841 925 1013 1105 1201 1301 | +| 76 | Delannoy:Alt | DiagCol3 | A001845 | -1 -7 -25 -63 -129 -231 -377 -575 -833 -1159 -1561 -2047 -2625 -3303 -4089 -4991 -6017 -7175 -8473 | +| 77 | Delannoy:Alt | Poly | missing | 1 1 1 1 0 1 1 -1 -1 1 1 0 -1 -2 1 1 1 3 1 -3 1 1 0 -1 4 5 -4 1 1 -1 -5 -11 -3 11 -5 1 1 0 7 10 -11 | +| 78 | Delannoy:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 79 | Delannoy:Alt | PolyRow2 | A165900 | 1 -1 -1 1 5 11 19 29 41 55 71 89 109 131 155 181 209 239 271 305 341 379 419 461 505 551 599 649 | +| 80 | Delannoy:Alt | PolyRow3 | missing | 1 0 3 4 -3 -24 -65 -132 -231 -368 -549 -780 -1067 -1416 -1833 -2324 -2895 -3552 -4301 -5148 -6099 | +| 81 | Delannoy:Alt | PolyCol2 | A077020 | 1 -1 -1 3 -1 -5 7 3 -17 11 23 -45 -1 91 -89 -93 271 -85 -457 627 287 -1541 967 2115 -4049 -181 8279 | +| 82 | Delannoy:Alt | PolyCol3 | B088137 | 1 -2 1 4 -11 10 13 -56 73 22 -263 460 -131 -1118 2629 -1904 -4079 13870 -15503 -10604 67717 -103622 | +| 83 | Delannoy:Alt | PolyDiag | missing | 1 0 -1 4 -11 -44 2059 -50952 1234633 -31758632 883029311 -26609171940 867210664189 -30457304468148 | +| 84 | Delannoy:Inv | Triangle | A103136 | 1 -1 1 2 -3 1 -6 10 -5 1 22 -38 22 -7 1 -90 158 -98 38 -9 1 394 -698 450 -194 58 -11 1 -1806 3218 | +| 85 | Delannoy:Inv | Rev | A033878 | 1 1 -1 1 -3 2 1 -5 10 -6 1 -7 22 -38 22 1 -9 38 -98 158 -90 1 -11 58 -194 450 -698 394 1 -13 82 | +| 86 | Delannoy:Inv | RevInv | A008288 | 1 1 1 1 3 1 1 5 5 1 1 7 13 7 1 1 9 25 25 9 1 1 11 41 63 41 11 1 1 13 61 129 129 61 13 1 1 15 85 231 | +| 87 | Delannoy:Inv | Acc | B122538 | 1 -1 0 2 -1 0 -6 4 -1 0 22 -16 6 -1 0 -90 68 -30 8 -1 0 394 -304 146 -48 10 -1 0 -1806 1412 -714 | +| 88 | Delannoy:Inv | AccRev | B106579 | 1 1 0 1 -2 0 1 -4 6 0 1 -6 16 -22 0 1 -8 30 -68 90 0 1 -10 48 -146 304 -394 0 1 -12 70 -264 714 | +| 89 | Delannoy:Inv | AntiDiag | missing | 1 -1 2 1 -6 -3 22 10 1 -90 -38 -5 394 158 22 1 -1806 -698 -98 -7 8558 3218 450 38 1 -41586 -15310 | +| 90 | Delannoy:Inv | Diffx1 | missing | 1 -1 2 2 -6 3 -6 20 -15 4 22 -76 66 -28 5 -90 316 -294 152 -45 6 394 -1396 1350 -776 290 -66 7 | +| 91 | Delannoy:Inv | EvenSum | A001003 | 1 -1 3 -11 45 -197 903 -4279 20793 -103049 518859 -2646723 13648869 -71039373 372693519 -1968801519 | +| 92 | Delannoy:Inv | OddSum | B001003 | 0 1 -3 11 -45 197 -903 4279 -20793 103049 -518859 2646723 -13648869 71039373 -372693519 1968801519 | +| 93 | Delannoy:Inv | AltSum | A006318 | 1 -2 6 -22 90 -394 1806 -8558 41586 -206098 1037718 -5293446 27297738 -142078746 745387038 | +| 94 | Delannoy:Inv | DiagSum | missing | 1 -1 3 -9 33 -133 575 -2609 12265 -59225 292035 -1464361 7444265 -38279053 198746911 -1040489377 | +| 95 | Delannoy:Inv | AccSum | A001003 | 1 -1 1 -3 11 -45 197 -903 4279 -20793 103049 -518859 2646723 -13648869 71039373 -372693519 | +| 96 | Delannoy:Inv | AccRevSum | A001003 | 1 1 -1 3 -11 45 -197 903 -4279 20793 -103049 518859 -2646723 13648869 -71039373 372693519 | +| 97 | Delannoy:Inv | RowLcm | missing | 1 1 6 30 2926 6619410 957340835550 44816541527197986 603669538270861563270 | +| 98 | Delannoy:Inv | RowMax | B103138 | 1 1 3 10 38 158 698 3218 15310 74614 370610 1869338 9549174 49302030 256859754 1348695330 | +| 99 | Delannoy:Inv | ColMiddle | missing | 1 -1 -3 10 22 -98 -194 978 1838 -9922 -18082 101946 182054 -1057730 -1861890 11058466 19258078 | +| 100 | Delannoy:Inv | CentralE | A367393 | 1 -3 22 -194 1838 -18082 182054 -1861890 19258078 -200898626 2109785654 -22275498434 236225927182 | +| 101 | Delannoy:Inv | CentralO | missing | -1 10 -98 978 -9922 101946 -1057730 11058466 -116323586 1229718378 -13053926690 139056632050 | +| 102 | Delannoy:Inv | ColLeft | A086456 | 1 -1 2 -6 22 -90 394 -1806 8558 -41586 206098 -1037718 5293446 -27297738 142078746 -745387038 | +| 103 | Delannoy:Inv | BinConv | A000247 | 1 0 -3 10 -25 56 -119 246 -501 1012 -2035 4082 -8177 16368 -32751 65518 -131053 262124 -524267 | +| 104 | Delannoy:Inv | InvBinConv | missing | 1 2 9 52 335 2286 16149 116712 857115 6369250 47759393 360677340 2739503143 20906246102 | +| 105 | Delannoy:Inv | TransNat0 | A001003 | 0 1 -1 3 -11 45 -197 903 -4279 20793 -103049 518859 -2646723 13648869 -71039373 372693519 | +| 106 | Delannoy:Inv | TransNat1 | A001003 | 1 1 -1 3 -11 45 -197 903 -4279 20793 -103049 518859 -2646723 13648869 -71039373 372693519 | +| 107 | Delannoy:Inv | TransSqrs | B080243 | 0 1 1 -1 3 -11 45 -197 903 -4279 20793 -103049 518859 -2646723 13648869 -71039373 372693519 | +| 108 | Delannoy:Inv | PosHalf | A330803 | 1 -1 3 -17 123 -1001 8739 -79969 756939 -7349657 72798003 -732681489 7471545435 -77031538377 | +| 109 | Delannoy:Inv | NegHalf | missing | 1 3 15 99 759 6363 56559 523827 5001063 48872907 486514335 4916196387 50297275287 519977383227 | +| 110 | Delannoy:Inv | DiagRow1 | A005408 | -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 -51 | +| 111 | Delannoy:Inv | DiagRow2 | A090288 | 2 10 22 38 58 82 110 142 178 218 262 310 362 418 478 542 610 682 758 838 922 1010 1102 1198 1298 | +| 112 | Delannoy:Inv | DiagRow3 | missing | -6 -38 -98 -194 -334 -526 -778 -1098 -1494 -1974 -2546 -3218 -3998 -4894 -5914 -7066 -8358 -9798 | +| 113 | Delannoy:Inv | DiagCol1 | B103138 | 1 -3 10 -38 158 -698 3218 -15310 74614 -370610 1869338 -9549174 49302030 -256859754 1348695330 | +| 114 | Delannoy:Inv | DiagCol2 | missing | 1 -5 22 -98 450 -2126 10286 -50746 254410 -1292630 6642118 -34459410 180259986 -949756830 | +| 115 | Delannoy:Inv | DiagCol3 | missing | 1 -7 38 -194 978 -4942 25150 -129050 667610 -3480150 18268118 -96498546 512637090 -2737284510 | +| 116 | Delannoy:Inv | Poly | missing | 1 -1 1 2 0 1 -6 0 1 1 22 0 0 2 1 -90 0 2 2 3 1 394 0 -6 6 6 4 1 -1806 0 26 -2 18 12 5 1 8558 0 -114 | +| 117 | Delannoy:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 118 | Delannoy:Inv | PolyRow2 | A279019 | 2 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 119 | Delannoy:Inv | PolyRow3 | missing | -6 0 2 6 18 44 90 162 266 408 594 830 1122 1476 1898 2394 2970 3632 4386 5238 6194 7260 8442 9746 | +| 120 | Delannoy:Inv | PolyCol2 | A114710 | 1 1 0 2 -6 26 -114 526 -2502 12194 -60570 305526 -1560798 8058714 -41987106 220470942 -1165553718 | +| 121 | Delannoy:Inv | PolyCol3 | missing | 1 2 2 6 -2 42 -134 702 -3226 15954 -79118 400182 -2046450 10579194 -55170582 289937646 -1533895050 | +| 122 | Delannoy:Inv | PolyDiag | missing | 1 0 0 6 30 500 6790 122346 2462334 56634312 1454230998 41308886190 1285755264222 43519683768444 | +| 123 | Delannoy:Inv:Rev | Triangle | A033878 | 1 1 -1 1 -3 2 1 -5 10 -6 1 -7 22 -38 22 1 -9 38 -98 158 -90 1 -11 58 -194 450 -698 394 1 -13 82 | +| 124 | Delannoy:Inv:Rev | Rev | A103136 | 1 -1 1 2 -3 1 -6 10 -5 1 22 -38 22 -7 1 -90 158 -98 38 -9 1 394 -698 450 -194 58 -11 1 -1806 3218 | +| 125 | Delannoy:Inv:Rev | InvRev | A008288 | 1 1 1 1 3 1 1 5 5 1 1 7 13 7 1 1 9 25 25 9 1 1 11 41 63 41 11 1 1 13 61 129 129 61 13 1 1 15 85 231 | +| 126 | Delannoy:Inv:Rev | Acc | B106579 | 1 1 0 1 -2 0 1 -4 6 0 1 -6 16 -22 0 1 -8 30 -68 90 0 1 -10 48 -146 304 -394 0 1 -12 70 -264 714 | +| 127 | Delannoy:Inv:Rev | AccRev | B122538 | 1 -1 0 2 -1 0 -6 4 -1 0 22 -16 6 -1 0 -90 68 -30 8 -1 0 394 -304 146 -48 10 -1 0 -1806 1412 -714 | +| 128 | Delannoy:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -3 1 -5 2 1 -7 10 1 -9 22 -6 1 -11 38 -38 1 -13 58 -98 22 1 -15 82 -194 158 1 -17 110 | +| 129 | Delannoy:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -6 6 1 -10 30 -24 1 -14 66 -152 110 1 -18 114 -392 790 -540 1 -22 174 -776 2250 -4188 2758 | +| 130 | Delannoy:Inv:Rev | EvenSum | A001003 | 1 1 3 11 45 197 903 4279 20793 103049 518859 2646723 13648869 71039373 372693519 1968801519 | +| 131 | Delannoy:Inv:Rev | OddSum | B001003 | 0 -1 -3 -11 -45 -197 -903 -4279 -20793 -103049 -518859 -2646723 -13648869 -71039373 -372693519 | +| 132 | Delannoy:Inv:Rev | AltSum | A006318 | 1 2 6 22 90 394 1806 8558 41586 206098 1037718 5293446 27297738 142078746 745387038 3937603038 | +| 133 | Delannoy:Inv:Rev | DiagSum | missing | 1 1 0 -2 -2 4 8 -10 -30 32 120 -122 -514 516 2320 -2322 -10878 10880 52464 -52466 -258562 258564 | +| 134 | Delannoy:Inv:Rev | AccSum | A001003 | 1 1 -1 3 -11 45 -197 903 -4279 20793 -103049 518859 -2646723 13648869 -71039373 372693519 | +| 135 | Delannoy:Inv:Rev | AccRevSum | A001003 | 1 -1 1 -3 11 -45 197 -903 4279 -20793 103049 -518859 2646723 -13648869 71039373 -372693519 | +| 136 | Delannoy:Inv:Rev | RowLcm | missing | 1 1 6 30 2926 6619410 957340835550 44816541527197986 603669538270861563270 | +| 137 | Delannoy:Inv:Rev | RowMax | B103138 | 1 1 3 10 38 158 698 3218 15310 74614 370610 1869338 9549174 49302030 256859754 1348695330 | +| 138 | Delannoy:Inv:Rev | ColMiddle | missing | 1 1 -3 -5 22 38 -194 -334 1838 3142 -18082 -30710 182054 307526 -1861890 -3131166 19258078 32268038 | +| 139 | Delannoy:Inv:Rev | CentralE | A367393 | 1 -3 22 -194 1838 -18082 182054 -1861890 19258078 -200898626 2109785654 -22275498434 236225927182 | +| 140 | Delannoy:Inv:Rev | CentralO | missing | 1 -5 38 -334 3142 -30710 307526 -3131166 32268038 -335589094 3515178086 -37032111214 391969355078 | +| 141 | Delannoy:Inv:Rev | ColRight | A086456 | 1 -1 2 -6 22 -90 394 -1806 8558 -41586 206098 -1037718 5293446 -27297738 142078746 -745387038 | +| 142 | Delannoy:Inv:Rev | BinConv | A000247 | 1 0 -3 10 -25 56 -119 246 -501 1012 -2035 4082 -8177 16368 -32751 65518 -131053 262124 -524267 | +| 143 | Delannoy:Inv:Rev | InvBinConv | missing | 1 -2 9 -52 335 -2286 16149 -116712 857115 -6369250 47759393 -360677340 2739503143 -20906246102 | +| 144 | Delannoy:Inv:Rev | TransNat0 | A001003 | 0 -1 1 -3 11 -45 197 -903 4279 -20793 103049 -518859 2646723 -13648869 71039373 -372693519 | +| 145 | Delannoy:Inv:Rev | TransNat1 | A001003 | 1 -1 1 -3 11 -45 197 -903 4279 -20793 103049 -518859 2646723 -13648869 71039373 -372693519 | +| 146 | Delannoy:Inv:Rev | TransSqrs | missing | 0 -1 5 -19 91 -461 2409 -12839 69367 -378553 2081773 -11517947 64040211 -357517317 2002751313 | +| 147 | Delannoy:Inv:Rev | PosHalf | A114710 | 1 1 0 2 -6 26 -114 526 -2502 12194 -60570 305526 -1560798 8058714 -41987106 220470942 -1165553718 | +| 148 | Delannoy:Inv:Rev | NegHalf | missing | 1 -3 12 -54 258 -1278 6486 -33498 175314 -927126 4944462 -26553618 143441370 -778755006 4246293798 | +| 149 | Delannoy:Inv:Rev | DiagRow1 | B103138 | 1 -3 10 -38 158 -698 3218 -15310 74614 -370610 1869338 -9549174 49302030 -256859754 1348695330 | +| 150 | Delannoy:Inv:Rev | DiagRow2 | missing | 1 -5 22 -98 450 -2126 10286 -50746 254410 -1292630 6642118 -34459410 180259986 -949756830 | +| 151 | Delannoy:Inv:Rev | DiagRow3 | missing | 1 -7 38 -194 978 -4942 25150 -129050 667610 -3480150 18268118 -96498546 512637090 -2737284510 | +| 152 | Delannoy:Inv:Rev | DiagCol1 | A005408 | -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 -51 | +| 153 | Delannoy:Inv:Rev | DiagCol2 | A090288 | 2 10 22 38 58 82 110 142 178 218 262 310 362 418 478 542 610 682 758 838 922 1010 1102 1198 1298 | +| 154 | Delannoy:Inv:Rev | DiagCol3 | missing | -6 -38 -98 -194 -334 -526 -778 -1098 -1494 -1974 -2546 -3218 -3998 -4894 -5914 -7066 -8358 -9798 | +| 155 | Delannoy:Inv:Rev | Poly | A107889 | 1 1 1 1 0 1 1 0 -1 1 1 0 3 -2 1 1 0 -17 10 -3 1 1 0 123 -86 21 -4 1 1 0 -1001 934 -243 36 -5 1 1 0 | +| 156 | Delannoy:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 157 | Delannoy:Inv:Rev | PolyRow2 | A014105 | 1 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | +| 158 | Delannoy:Inv:Rev | PolyRow3 | missing | 1 0 -17 -86 -243 -524 -965 -1602 -2471 -3608 -5049 -6830 -8987 -11556 -14573 -18074 -22095 -26672 | +| 159 | Delannoy:Inv:Rev | PolyCol2 | A330803 | 1 -1 3 -17 123 -1001 8739 -79969 756939 -7349657 72798003 -732681489 7471545435 -77031538377 | +| 160 | Delannoy:Inv:Rev | PolyCol3 | missing | 1 -2 10 -86 934 -11402 149314 -2049518 29099278 -423818258 6296849530 -95062740038 1454108487862 | +| 161 | Delannoy:Inv:Rev | PolyDiag | missing | 1 0 3 -86 3525 -193844 13498135 -1142218314 114013757193 -13129297043912 1714571894899611 | \ No newline at end of file diff --git a/data/md/Divisibility.md b/data/md/Divisibility.md index e587096..f05887c 100644 --- a/data/md/Divisibility.md +++ b/data/md/Divisibility.md @@ -36,105 +36,141 @@ | 33 | Divisibility:Std | PolyCol2 | A055895 | 1 2 6 10 22 34 78 130 278 522 1062 2050 4190 8194 16518 32810 65814 131074 262734 524290 1049654 | | 34 | Divisibility:Std | PolyCol3 | A363913 | 1 3 12 30 93 246 768 2190 6654 19713 59304 177150 532290 1594326 4785168 14349180 43053375 | | 35 | Divisibility:Std | PolyDiag | A066108 | 1 1 6 30 276 3130 46914 823550 16781384 387421227 10000100110 285311670622 8916103456860 | -| 36 | Divisibility:Rev | Triangle | A117195 | 1 1 0 1 1 0 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 | -| 37 | Divisibility:Rev | InvRev | A363914 | 1 0 1 0 -1 1 0 -1 0 1 0 0 -1 0 1 0 -1 0 0 0 1 0 1 -1 -1 0 0 1 0 -1 0 0 0 0 0 1 0 0 0 0 -1 0 0 0 1 0 | -| 38 | Divisibility:Rev | Acc | missing | 1 1 1 1 2 2 1 1 2 2 1 1 2 3 3 1 1 1 1 2 2 1 1 1 2 3 4 4 1 1 1 1 1 1 2 2 1 1 1 1 2 2 3 4 4 1 1 1 1 1 | -| 39 | Divisibility:Rev | AccRev | missing | 1 0 1 0 1 2 0 1 1 2 0 1 2 2 3 0 1 1 1 1 2 0 1 2 3 3 3 4 0 1 1 1 1 1 1 2 0 1 2 2 3 3 3 3 4 0 1 1 2 2 | -| 40 | Divisibility:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 0 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 | -| 41 | Divisibility:Rev | Diffx1 | missing | 1 1 0 1 2 0 1 0 3 0 1 0 3 4 0 1 0 0 0 5 0 1 0 0 4 5 6 0 1 0 0 0 0 0 7 0 1 0 0 0 5 0 7 8 0 1 0 0 0 0 | -| 42 | Divisibility:Rev | RowSum | A000005 | 1 1 2 2 3 2 4 2 4 3 4 2 6 2 4 4 5 2 6 2 6 4 4 2 8 3 4 4 6 2 8 2 | -| 43 | Divisibility:Rev | EvenSum | A320111 | 1 1 1 2 2 2 2 2 3 3 2 2 4 2 2 4 4 2 3 2 4 4 2 2 6 3 2 4 4 2 4 2 | -| 44 | Divisibility:Rev | OddSum | missing | 0 0 1 0 1 0 2 0 1 0 2 0 2 0 2 0 1 0 3 0 2 0 2 0 2 0 2 0 2 0 4 0 | -| 45 | Divisibility:Rev | AltSum | A048272 | 1 1 0 2 1 2 0 2 2 3 0 2 2 2 0 4 3 2 0 2 2 4 0 2 4 3 0 4 2 2 0 2 | -| 46 | Divisibility:Rev | DiagSum | A001227 | 1 1 1 2 1 2 2 2 1 3 2 2 2 2 2 4 1 2 3 2 2 4 2 2 2 3 2 4 2 2 4 2 | -| 47 | Divisibility:Rev | AccSum | A007503 | 1 2 5 6 10 8 16 10 19 16 22 14 34 16 28 28 36 20 45 22 48 36 40 26 68 34 46 44 62 32 80 34 | -| 48 | Divisibility:Rev | AccRevSum | A081307 | 1 1 3 4 8 6 16 8 21 17 26 12 50 14 36 40 54 18 75 20 84 56 56 24 140 47 66 72 118 30 176 32 | -| 49 | Divisibility:Rev | ColMiddle | A266591 | 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | -| 50 | Divisibility:Rev | BinConv | A056045 | 1 1 3 4 11 6 42 8 107 94 308 12 1718 14 3538 3474 14827 18 68172 20 205316 117632 705686 24 3587174 | -| 51 | Divisibility:Rev | InvBinConv | missing | 1 -1 -1 -4 3 -6 -10 -8 91 -94 -216 -12 1254 -14 -3354 -3474 14795 -18 -30736 -20 174268 -117632 | -| 52 | Divisibility:Rev | TransNat0 | A094471 | 0 0 1 2 5 4 12 6 17 14 22 10 44 12 32 36 49 16 69 18 78 52 52 22 132 44 62 68 112 28 168 30 | -| 53 | Divisibility:Rev | TransNat1 | A081307 | 1 1 3 4 8 6 16 8 21 17 26 12 50 14 36 40 54 18 75 20 84 56 56 24 140 47 66 72 118 30 176 32 | -| 54 | Divisibility:Rev | TransSqrs | A367326 | 0 0 1 4 13 16 50 36 101 100 170 100 402 144 362 440 629 256 995 324 1266 920 962 484 2578 976 1370 | -| 55 | Divisibility:Rev | PosHalf | A055895 | 1 2 6 10 22 34 78 130 278 522 1062 2050 4190 8194 16518 32810 65814 131074 262734 524290 1049654 | -| 56 | Divisibility:Rev | NegHalf | missing | 1 -2 2 -10 18 -34 58 -130 274 -522 994 -2050 4170 -8194 16258 -32810 65810 -131074 261690 -524290 | -| 57 | Divisibility:Rev | DiagRow2 | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | -| 58 | Divisibility:Rev | DiagRow3 | A024692 | 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 | -| 59 | Divisibility:Rev | DiagCol1 | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 60 | Divisibility:Rev | DiagCol2 | A093313 | 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 61 | Divisibility:Rev | DiagCol3 | A014053 | 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 62 | Divisibility:Rev | Poly | A046854 | 1 1 1 1 1 1 1 2 1 1 1 2 3 1 1 1 3 5 4 1 1 1 2 13 10 5 1 1 1 4 17 37 17 6 1 1 1 2 57 82 81 26 7 1 1 | -| 63 | Divisibility:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 64 | Divisibility:Rev | PolyRow3 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 65 | Divisibility:Rev | PolyCol2 | A074854 | 1 1 3 5 13 17 57 65 209 321 801 1025 3905 4097 12417 21505 53505 65537 233985 262145 885761 1327105 | -| 66 | Divisibility:Rev | PolyCol3 | A357051 | 1 1 4 10 37 82 352 730 2998 7291 26488 59050 263170 531442 2127952 5373460 19669879 43046722 | -| 67 | Divisibility:Rev | PolyDiag | missing | 1 1 3 10 81 626 9289 117650 2363393 43578163 1100100001 25937424602 810518482945 23298085122482 | -| 68 | Divisibility:Inv | Triangle | A363914 | 1 0 1 0 -1 1 0 -1 0 1 0 0 -1 0 1 0 -1 0 0 0 1 0 1 -1 -1 0 0 1 0 -1 0 0 0 0 0 1 0 0 0 0 -1 0 0 0 1 0 | -| 69 | Divisibility:Inv | Rev | missing | 1 1 0 1 -1 0 1 0 -1 0 1 0 -1 0 0 1 0 0 0 -1 0 1 0 0 -1 -1 1 0 1 0 0 0 0 0 -1 0 1 0 0 0 -1 0 0 0 0 1 | -| 70 | Divisibility:Inv | RevInv | A117195 | 1 1 0 1 1 0 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 | -| 71 | Divisibility:Inv | Acc | missing | 1 0 1 0 -1 0 0 -1 -1 0 0 0 -1 -1 0 0 -1 -1 -1 -1 0 0 1 0 -1 -1 -1 0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 | -| 72 | Divisibility:Inv | AccRev | missing | 1 1 1 1 0 0 1 1 0 0 1 1 0 0 0 1 1 1 1 0 0 1 1 1 0 -1 0 0 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 | -| 73 | Divisibility:Inv | AntiDiag | A262855 | 1 0 0 1 0 -1 0 -1 1 0 0 0 0 -1 -1 1 0 1 0 0 0 -1 -1 0 1 0 0 0 -1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 -1 -1 | -| 74 | Divisibility:Inv | Diffx1 | missing | 1 0 2 0 -2 3 0 -2 0 4 0 0 -3 0 5 0 -2 0 0 0 6 0 2 -3 -4 0 0 7 0 -2 0 0 0 0 0 8 0 0 0 0 -5 0 0 0 9 0 | -| 75 | Divisibility:Inv | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 76 | Divisibility:Inv | EvenSum | A014053 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 77 | Divisibility:Inv | OddSum | A093313 | 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 78 | Divisibility:Inv | AltSum | A130779 | 1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 79 | Divisibility:Inv | DiagSum | A098018 | 1 0 1 -1 0 0 -1 1 -1 -1 1 1 -3 0 1 0 0 0 -2 0 -1 0 3 1 -5 0 1 0 0 0 -1 -1 | -| 80 | Divisibility:Inv | AccSum | A000010 | 1 1 -1 -2 -2 -4 -2 -6 -4 -6 -4 -10 -4 -12 -6 -8 -8 -16 -6 -18 -8 -12 -10 -22 -8 -20 -12 -18 -12 -28 | -| 81 | Divisibility:Inv | AccRevSum | A225530 | 1 2 1 2 2 4 2 6 4 6 4 10 4 12 6 8 8 16 6 18 8 12 10 22 8 20 12 18 12 28 8 30 | -| 82 | Divisibility:Inv | ColMiddle | B135528 | 1 0 -1 -1 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 | -| 83 | Divisibility:Inv | CentralO | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 84 | Divisibility:Inv | BinConv | missing | 1 1 -1 -2 -5 -4 -28 -6 -69 -83 -286 -10 -1352 -12 -3508 -3442 -12869 -16 -66367 -18 -189410 -117588 | -| 85 | Divisibility:Inv | InvBinConv | missing | 1 1 3 -2 -5 -4 0 -6 -69 -83 198 -10 -1352 -12 3328 -3442 -12869 -16 29241 -18 -189410 -117588 | -| 86 | Divisibility:Inv | TransNat0 | A000010 | 0 1 1 2 2 4 2 6 4 6 4 10 4 12 6 8 8 16 6 18 8 12 10 22 8 20 12 18 12 28 8 30 | -| 87 | Divisibility:Inv | TransNat1 | A225530 | 1 2 1 2 2 4 2 6 4 6 4 10 4 12 6 8 8 16 6 18 8 12 10 22 8 20 12 18 12 28 8 30 | -| 88 | Divisibility:Inv | TransSqrs | A007434 | 0 1 3 8 12 24 24 48 48 72 72 120 96 168 144 192 192 288 216 360 288 384 360 528 384 600 504 648 576 | -| 89 | Divisibility:Inv | PosHalf | missing | 1 1 -1 -3 -3 -15 9 -63 -15 -63 225 -1023 705 -4095 3969 11265 -255 -65535 28161 -262143 195585 | -| 90 | Divisibility:Inv | NegHalf | missing | 1 1 3 -3 -3 -15 -39 -63 -15 -63 -735 -1023 705 -4095 -12159 11265 -255 -65535 -36351 -262143 195585 | -| 91 | Divisibility:Inv | DiagRow1 | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 92 | Divisibility:Inv | DiagRow2 | A093313 | 0 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 93 | Divisibility:Inv | DiagRow3 | A045840 | 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 94 | Divisibility:Inv | DiagCol1 | A008683 | 1 -1 -1 0 -1 1 -1 0 0 1 -1 0 -1 1 1 0 -1 0 -1 0 1 1 -1 0 0 1 0 0 -1 -1 -1 0 | -| 95 | Divisibility:Inv | DiagCol2 | A036988 | 1 0 -1 0 -1 0 0 0 -1 0 1 0 -1 0 0 0 0 0 1 0 -1 0 0 0 -1 0 1 0 1 0 0 0 | -| 96 | Divisibility:Inv | DiagCol3 | A037011 | 1 0 0 -1 0 0 -1 0 0 0 0 0 -1 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 1 0 0 -1 0 | -| 97 | Divisibility:Inv | Poly | A060701 | 1 0 1 0 1 1 0 0 2 1 0 0 2 3 1 0 0 6 6 4 1 0 0 12 24 12 5 1 0 0 30 72 60 20 6 1 0 0 54 240 240 120 | -| 98 | Divisibility:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 99 | Divisibility:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | -| 100 | Divisibility:Inv | PolyRow3 | B007531 | 0 0 6 24 60 120 210 336 504 720 990 1320 1716 2184 2730 3360 4080 4896 5814 6840 7980 9240 10626 | -| 101 | Divisibility:Inv | PolyCol2 | B027375 | 1 2 2 6 12 30 54 126 240 504 990 2046 4020 8190 16254 32730 65280 131070 261576 524286 1047540 | -| 102 | Divisibility:Inv | PolyCol3 | A054718 | 1 3 6 24 72 240 696 2184 6480 19656 58800 177144 530640 1594320 4780776 14348640 43040160 129140160 | -| 103 | Divisibility:Inv | PolyDiag | A252764 | 1 1 2 24 240 3120 46410 823536 16773120 387419760 9999899910 285311670600 8916097441680 | -| 104 | Divisibility:Inv:Rev | Triangle | missing | 1 1 0 1 -1 0 1 0 -1 0 1 0 -1 0 0 1 0 0 0 -1 0 1 0 0 -1 -1 1 0 1 0 0 0 0 0 -1 0 1 0 0 0 -1 0 0 0 0 1 | -| 105 | Divisibility:Inv:Rev | Rev | A363914 | 1 0 1 0 -1 1 0 -1 0 1 0 0 -1 0 1 0 -1 0 0 0 1 0 1 -1 -1 0 0 1 0 -1 0 0 0 0 0 1 0 0 0 0 -1 0 0 0 1 0 | -| 106 | Divisibility:Inv:Rev | InvRev | A113704 | 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 0 1 0 | -| 107 | Divisibility:Inv:Rev | Acc | missing | 1 1 1 1 0 0 1 1 0 0 1 1 0 0 0 1 1 1 1 0 0 1 1 1 0 -1 0 0 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 | -| 108 | Divisibility:Inv:Rev | AccRev | missing | 1 0 1 0 -1 0 0 -1 -1 0 0 0 -1 -1 0 0 -1 -1 -1 -1 0 0 1 0 -1 -1 -1 0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 | -| 109 | Divisibility:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -1 1 0 0 1 0 -1 1 0 -1 0 1 0 0 0 1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 -1 0 1 0 0 0 0 1 1 0 0 0 | -| 110 | Divisibility:Inv:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 0 -3 0 1 0 -3 0 0 1 0 0 0 -5 0 1 0 0 -4 -5 6 0 1 0 0 0 0 0 -7 0 1 0 0 0 -5 0 0 0 0 1 | -| 111 | Divisibility:Inv:Rev | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 112 | Divisibility:Inv:Rev | EvenSum | A014060 | 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 113 | Divisibility:Inv:Rev | OddSum | A085979 | 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 114 | Divisibility:Inv:Rev | AltSum | A130779 | 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 115 | Divisibility:Inv:Rev | DiagSum | missing | 1 1 1 0 1 0 0 1 1 -1 0 2 0 0 1 -1 1 1 -1 2 0 -1 2 1 0 -1 0 0 1 2 -1 1 | -| 116 | Divisibility:Inv:Rev | AccSum | A225530 | 1 2 1 2 2 4 2 6 4 6 4 10 4 12 6 8 8 16 6 18 8 12 10 22 8 20 12 18 12 28 8 30 | -| 117 | Divisibility:Inv:Rev | AccRevSum | A000010 | 1 1 -1 -2 -2 -4 -2 -6 -4 -6 -4 -10 -4 -12 -6 -8 -8 -16 -6 -18 -8 -12 -10 -22 -8 -20 -12 -18 -12 -28 | -| 118 | Divisibility:Inv:Rev | ColMiddle | A266591 | 1 1 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 | -| 119 | Divisibility:Inv:Rev | BinConv | missing | 1 1 -1 -2 -5 -4 -28 -6 -69 -83 -286 -10 -1352 -12 -3508 -3442 -12869 -16 -66367 -18 -189410 -117588 | -| 120 | Divisibility:Inv:Rev | InvBinConv | missing | 1 -1 3 2 -5 4 0 6 -69 83 198 10 -1352 12 3328 3442 -12869 16 29241 18 -189410 117588 705180 22 | -| 121 | Divisibility:Inv:Rev | TransNat0 | B000010 | 0 0 -1 -2 -2 -4 -2 -6 -4 -6 -4 -10 -4 -12 -6 -8 -8 -16 -6 -18 -8 -12 -10 -22 -8 -20 -12 -18 -12 -28 | -| 122 | Divisibility:Inv:Rev | TransNat1 | A000010 | 1 1 -1 -2 -2 -4 -2 -6 -4 -6 -4 -10 -4 -12 -6 -8 -8 -16 -6 -18 -8 -12 -10 -22 -8 -20 -12 -18 -12 -28 | -| 123 | Divisibility:Inv:Rev | TransSqrs | missing | 0 0 -1 -4 -4 -16 0 -36 -16 -36 -8 -100 0 -144 -24 -48 -64 -256 0 -324 -32 -120 -80 -484 0 -400 -120 | -| 124 | Divisibility:Inv:Rev | PosHalf | B027375 | 1 2 2 6 12 30 54 126 240 504 990 2046 4020 8190 16254 32730 65280 131070 261576 524286 1047540 | -| 125 | Divisibility:Inv:Rev | NegHalf | missing | 1 -2 6 -6 12 -30 66 -126 240 -504 1050 -2046 4020 -8190 16506 -32730 65280 -131070 262584 -524286 | -| 126 | Divisibility:Inv:Rev | DiagRow1 | A008683 | 1 -1 -1 0 -1 1 -1 0 0 1 -1 0 -1 1 1 0 -1 0 -1 0 1 1 -1 0 0 1 0 0 -1 -1 -1 0 | -| 127 | Divisibility:Inv:Rev | DiagRow2 | A036988 | 1 0 -1 0 -1 0 0 0 -1 0 1 0 -1 0 0 0 0 0 1 0 -1 0 0 0 -1 0 1 0 1 0 0 0 | -| 128 | Divisibility:Inv:Rev | DiagRow3 | A037011 | 1 0 0 -1 0 0 -1 0 0 0 0 0 -1 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 1 0 0 -1 0 | -| 129 | Divisibility:Inv:Rev | DiagCol1 | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 130 | Divisibility:Inv:Rev | DiagCol2 | A093313 | 0 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 131 | Divisibility:Inv:Rev | DiagCol3 | A045840 | 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 132 | Divisibility:Inv:Rev | Poly | A071024 | 1 1 1 1 1 1 1 0 1 1 1 0 -1 1 1 1 0 -3 -2 1 1 1 0 -3 -8 -3 1 1 1 0 -15 -8 -15 -4 1 1 1 0 9 -80 -15 | -| 133 | Divisibility:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 134 | Divisibility:Inv:Rev | PolyRow3 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | -| 135 | Divisibility:Inv:Rev | PolyCol2 | missing | 1 1 -1 -3 -3 -15 9 -63 -15 -63 225 -1023 705 -4095 3969 11265 -255 -65535 28161 -262143 195585 | -| 136 | Divisibility:Inv:Rev | PolyCol3 | missing | 1 1 -2 -8 -8 -80 136 -728 -80 -728 12880 -59048 51760 -531440 1060696 4192480 -6560 -43046720 | -| 137 | Divisibility:Inv:Rev | PolyDiag | missing | 1 1 -1 -8 -15 -624 6265 -117648 -4095 -531440 899900001 -25937424600 61484396545 -23298085122480 | \ No newline at end of file +| 36 | Divisibility:Alt | Triangle | A113704 | 1 0 -1 0 -1 1 0 -1 0 -1 0 -1 1 0 1 0 -1 0 0 0 -1 0 -1 1 -1 0 0 1 0 -1 0 0 0 0 0 -1 0 -1 1 0 1 0 0 0 | +| 37 | Divisibility:Alt | Rev | A117195 | 1 -1 0 1 -1 0 -1 0 -1 0 1 0 1 -1 0 -1 0 0 0 -1 0 1 0 0 -1 1 -1 0 -1 0 0 0 0 0 -1 0 1 0 0 0 1 0 1 -1 | +| 38 | Divisibility:Alt | Inv | A363914 | 1 0 1 0 1 1 0 1 0 1 0 0 -1 0 1 0 1 0 0 0 1 0 1 -1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 -1 0 0 0 1 0 2 0 | +| 39 | Divisibility:Alt | RevInv | missing | 1 1 0 1 1 0 1 0 1 0 1 0 -1 0 0 1 0 0 0 1 0 1 0 0 1 -1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 -1 0 0 0 0 1 0 0 | +| 40 | Divisibility:Alt | Acc | missing | 1 0 -1 0 -1 0 0 -1 -1 -2 0 -1 0 0 1 0 -1 -1 -1 -1 -2 0 -1 0 -1 -1 -1 0 0 -1 -1 -1 -1 -1 -1 -2 0 -1 | +| 41 | Divisibility:Alt | AccRev | missing | 1 -1 -1 1 0 0 -1 -1 -2 -2 1 1 2 1 1 -1 -1 -1 -1 -2 -2 1 1 1 0 1 0 0 -1 -1 -1 -1 -1 -1 -2 -2 1 1 1 1 | +| 42 | Divisibility:Alt | AntiDiag | missing | 1 0 0 -1 0 -1 0 -1 1 0 -1 0 0 -1 1 -1 0 -1 0 0 0 -1 1 0 1 0 -1 0 -1 0 0 -1 1 0 0 -1 0 -1 0 0 0 0 0 | +| 43 | Divisibility:Alt | Diffx1 | missing | 1 0 -2 0 -2 3 0 -2 0 -4 0 -2 3 0 5 0 -2 0 0 0 -6 0 -2 3 -4 0 0 7 0 -2 0 0 0 0 0 -8 0 -2 3 0 5 0 0 0 | +| 44 | Divisibility:Alt | RowSum | A048272 | 1 -1 0 -2 1 -2 0 -2 2 -3 0 -2 2 -2 0 -4 3 -2 0 -2 2 -4 0 -2 4 -3 0 -4 2 -2 0 -2 | +| 45 | Divisibility:Alt | EvenSum | A183063 | 1 0 1 0 2 0 2 0 3 0 2 0 4 0 2 0 4 0 3 0 4 0 2 0 6 0 2 0 4 0 4 0 | +| 46 | Divisibility:Alt | OddSum | A001227 | 0 -1 -1 -2 -1 -2 -2 -2 -1 -3 -2 -2 -2 -2 -2 -4 -1 -2 -3 -2 -2 -4 -2 -2 -2 -3 -2 -4 -2 -2 -4 -2 | +| 47 | Divisibility:Alt | AltSum | A000005 | 1 1 2 2 3 2 4 2 4 3 4 2 6 2 4 4 5 2 6 2 6 4 4 2 8 3 4 4 6 2 8 2 | +| 48 | Divisibility:Alt | DiagSum | A325937 | 1 0 -1 -1 0 -1 -1 -1 1 -2 -1 -1 1 -1 -1 -3 2 -1 -1 -1 1 -3 -1 -1 3 -2 -1 -3 1 -1 -1 -1 | +| 49 | Divisibility:Alt | AccSum | missing | 1 -1 -1 -4 0 -6 -4 -8 5 -17 -6 -12 6 -14 -8 -40 22 -18 -13 -20 12 -56 -12 -24 48 -47 -14 -72 18 -30 | +| 50 | Divisibility:Alt | AccRevSum | A363629 | 1 -2 1 -6 6 -8 4 -10 15 -16 6 -14 22 -16 8 -28 32 -20 13 -22 32 -36 12 -26 56 -34 14 -44 42 -32 24 | +| 51 | Divisibility:Alt | ColMiddle | B135528 | 1 0 -1 -1 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | +| 52 | Divisibility:Alt | CentralO | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 53 | Divisibility:Alt | BinConv | missing | 1 -1 -1 -4 3 -6 -10 -8 91 -94 -216 -12 1254 -14 -3354 -3474 14795 -18 -30736 -20 174268 -117632 | +| 54 | Divisibility:Alt | InvBinConv | A056045 | 1 -1 3 -4 11 -6 42 -8 107 -94 308 -12 1718 -14 3538 -3474 14827 -18 68172 -20 205316 -117632 705686 | +| 55 | Divisibility:Alt | TransNat0 | A002129 | 0 -1 1 -4 5 -6 4 -8 13 -13 6 -12 20 -14 8 -24 29 -18 13 -20 30 -32 12 -24 52 -31 14 -40 40 -30 24 | +| 56 | Divisibility:Alt | TransNat1 | A363629 | 1 -2 1 -6 6 -8 4 -10 15 -16 6 -14 22 -16 8 -28 32 -20 13 -22 32 -36 12 -26 56 -34 14 -44 42 -32 24 | +| 57 | Divisibility:Alt | TransSqrs | A064027 | 0 -1 3 -10 19 -26 30 -50 83 -91 78 -122 190 -170 150 -260 339 -290 273 -362 494 -500 366 -530 830 | +| 58 | Divisibility:Alt | PosHalf | missing | 1 -1 -1 -5 -3 -17 -23 -65 -47 -321 -287 -1025 -1215 -4097 -4223 -21505 -12031 -65537 -94719 -262145 | +| 59 | Divisibility:Alt | NegHalf | A074854 | 1 -1 3 -5 13 -17 57 -65 209 -321 801 -1025 3905 -4097 12417 -21505 53505 -65537 233985 -262145 | +| 60 | Divisibility:Alt | DiagRow1 | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 61 | Divisibility:Alt | DiagRow2 | A093313 | 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 62 | Divisibility:Alt | DiagRow3 | A014053 | 0 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 63 | Divisibility:Alt | DiagCol2 | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | +| 64 | Divisibility:Alt | DiagCol3 | A024692 | -1 0 0 -1 0 0 -1 0 0 -1 0 0 -1 0 0 -1 0 0 -1 0 0 -1 0 0 -1 0 0 -1 0 0 -1 0 | +| 65 | Divisibility:Alt | Poly | missing | 1 0 1 0 -1 1 0 0 -2 1 0 -2 2 -3 1 0 1 -10 6 -4 1 0 -2 18 -30 12 -5 1 0 0 -34 87 -68 20 -6 1 0 -2 58 | +| 66 | Divisibility:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 67 | Divisibility:Alt | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 68 | Divisibility:Alt | PolyRow3 | A034262 | 0 -2 -10 -30 -68 -130 -222 -350 -520 -738 -1010 -1342 -1740 -2210 -2758 -3390 -4112 -4930 -5850 | +| 69 | Divisibility:Alt | PolyCol2 | missing | 1 -2 2 -10 18 -34 58 -130 274 -522 994 -2050 4170 -8194 16258 -32810 65810 -131074 261690 -524290 | +| 70 | Divisibility:Alt | PolyCol3 | missing | 1 -3 6 -30 87 -246 708 -2190 6648 -19713 58812 -177150 532230 -1594326 4780788 -14349180 43053369 | +| 71 | Divisibility:Alt | PolyDiag | missing | 1 -1 2 -30 268 -3130 46470 -823550 16781368 -387421227 9999900090 -285311670622 8916103453380 | +| 72 | Divisibility:Rev | Triangle | A117195 | 1 1 0 1 1 0 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 | +| 73 | Divisibility:Rev | InvRev | A363914 | 1 0 1 0 -1 1 0 -1 0 1 0 0 -1 0 1 0 -1 0 0 0 1 0 1 -1 -1 0 0 1 0 -1 0 0 0 0 0 1 0 0 0 0 -1 0 0 0 1 0 | +| 74 | Divisibility:Rev | Acc | missing | 1 1 1 1 2 2 1 1 2 2 1 1 2 3 3 1 1 1 1 2 2 1 1 1 2 3 4 4 1 1 1 1 1 1 2 2 1 1 1 1 2 2 3 4 4 1 1 1 1 1 | +| 75 | Divisibility:Rev | AccRev | missing | 1 0 1 0 1 2 0 1 1 2 0 1 2 2 3 0 1 1 1 1 2 0 1 2 3 3 3 4 0 1 1 1 1 1 1 2 0 1 2 2 3 3 3 3 4 0 1 1 2 2 | +| 76 | Divisibility:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 0 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 | +| 77 | Divisibility:Rev | Diffx1 | missing | 1 1 0 1 2 0 1 0 3 0 1 0 3 4 0 1 0 0 0 5 0 1 0 0 4 5 6 0 1 0 0 0 0 0 7 0 1 0 0 0 5 0 7 8 0 1 0 0 0 0 | +| 78 | Divisibility:Rev | RowSum | A000005 | 1 1 2 2 3 2 4 2 4 3 4 2 6 2 4 4 5 2 6 2 6 4 4 2 8 3 4 4 6 2 8 2 | +| 79 | Divisibility:Rev | EvenSum | A320111 | 1 1 1 2 2 2 2 2 3 3 2 2 4 2 2 4 4 2 3 2 4 4 2 2 6 3 2 4 4 2 4 2 | +| 80 | Divisibility:Rev | OddSum | missing | 0 0 1 0 1 0 2 0 1 0 2 0 2 0 2 0 1 0 3 0 2 0 2 0 2 0 2 0 2 0 4 0 | +| 81 | Divisibility:Rev | AltSum | A048272 | 1 1 0 2 1 2 0 2 2 3 0 2 2 2 0 4 3 2 0 2 2 4 0 2 4 3 0 4 2 2 0 2 | +| 82 | Divisibility:Rev | DiagSum | A001227 | 1 1 1 2 1 2 2 2 1 3 2 2 2 2 2 4 1 2 3 2 2 4 2 2 2 3 2 4 2 2 4 2 | +| 83 | Divisibility:Rev | AccSum | A007503 | 1 2 5 6 10 8 16 10 19 16 22 14 34 16 28 28 36 20 45 22 48 36 40 26 68 34 46 44 62 32 80 34 | +| 84 | Divisibility:Rev | AccRevSum | A081307 | 1 1 3 4 8 6 16 8 21 17 26 12 50 14 36 40 54 18 75 20 84 56 56 24 140 47 66 72 118 30 176 32 | +| 85 | Divisibility:Rev | ColMiddle | A266591 | 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | +| 86 | Divisibility:Rev | BinConv | A056045 | 1 1 3 4 11 6 42 8 107 94 308 12 1718 14 3538 3474 14827 18 68172 20 205316 117632 705686 24 3587174 | +| 87 | Divisibility:Rev | InvBinConv | missing | 1 -1 -1 -4 3 -6 -10 -8 91 -94 -216 -12 1254 -14 -3354 -3474 14795 -18 -30736 -20 174268 -117632 | +| 88 | Divisibility:Rev | TransNat0 | A094471 | 0 0 1 2 5 4 12 6 17 14 22 10 44 12 32 36 49 16 69 18 78 52 52 22 132 44 62 68 112 28 168 30 | +| 89 | Divisibility:Rev | TransNat1 | A081307 | 1 1 3 4 8 6 16 8 21 17 26 12 50 14 36 40 54 18 75 20 84 56 56 24 140 47 66 72 118 30 176 32 | +| 90 | Divisibility:Rev | TransSqrs | A367326 | 0 0 1 4 13 16 50 36 101 100 170 100 402 144 362 440 629 256 995 324 1266 920 962 484 2578 976 1370 | +| 91 | Divisibility:Rev | PosHalf | A055895 | 1 2 6 10 22 34 78 130 278 522 1062 2050 4190 8194 16518 32810 65814 131074 262734 524290 1049654 | +| 92 | Divisibility:Rev | NegHalf | missing | 1 -2 2 -10 18 -34 58 -130 274 -522 994 -2050 4170 -8194 16258 -32810 65810 -131074 261690 -524290 | +| 93 | Divisibility:Rev | DiagRow2 | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | +| 94 | Divisibility:Rev | DiagRow3 | A024692 | 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 | +| 95 | Divisibility:Rev | DiagCol1 | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 96 | Divisibility:Rev | DiagCol2 | A093313 | 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 97 | Divisibility:Rev | DiagCol3 | A014053 | 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 98 | Divisibility:Rev | Poly | A046854 | 1 1 1 1 1 1 1 2 1 1 1 2 3 1 1 1 3 5 4 1 1 1 2 13 10 5 1 1 1 4 17 37 17 6 1 1 1 2 57 82 81 26 7 1 1 | +| 99 | Divisibility:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 100 | Divisibility:Rev | PolyRow3 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 101 | Divisibility:Rev | PolyCol2 | A074854 | 1 1 3 5 13 17 57 65 209 321 801 1025 3905 4097 12417 21505 53505 65537 233985 262145 885761 1327105 | +| 102 | Divisibility:Rev | PolyCol3 | A357051 | 1 1 4 10 37 82 352 730 2998 7291 26488 59050 263170 531442 2127952 5373460 19669879 43046722 | +| 103 | Divisibility:Rev | PolyDiag | missing | 1 1 3 10 81 626 9289 117650 2363393 43578163 1100100001 25937424602 810518482945 23298085122482 | +| 104 | Divisibility:Inv | Triangle | A363914 | 1 0 1 0 -1 1 0 -1 0 1 0 0 -1 0 1 0 -1 0 0 0 1 0 1 -1 -1 0 0 1 0 -1 0 0 0 0 0 1 0 0 0 0 -1 0 0 0 1 0 | +| 105 | Divisibility:Inv | Rev | missing | 1 1 0 1 -1 0 1 0 -1 0 1 0 -1 0 0 1 0 0 0 -1 0 1 0 0 -1 -1 1 0 1 0 0 0 0 0 -1 0 1 0 0 0 -1 0 0 0 0 1 | +| 106 | Divisibility:Inv | RevInv | A117195 | 1 1 0 1 1 0 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 | +| 107 | Divisibility:Inv | Acc | missing | 1 0 1 0 -1 0 0 -1 -1 0 0 0 -1 -1 0 0 -1 -1 -1 -1 0 0 1 0 -1 -1 -1 0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 | +| 108 | Divisibility:Inv | AccRev | missing | 1 1 1 1 0 0 1 1 0 0 1 1 0 0 0 1 1 1 1 0 0 1 1 1 0 -1 0 0 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 | +| 109 | Divisibility:Inv | AntiDiag | A262855 | 1 0 0 1 0 -1 0 -1 1 0 0 0 0 -1 -1 1 0 1 0 0 0 -1 -1 0 1 0 0 0 -1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 -1 -1 | +| 110 | Divisibility:Inv | Diffx1 | missing | 1 0 2 0 -2 3 0 -2 0 4 0 0 -3 0 5 0 -2 0 0 0 6 0 2 -3 -4 0 0 7 0 -2 0 0 0 0 0 8 0 0 0 0 -5 0 0 0 9 0 | +| 111 | Divisibility:Inv | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 112 | Divisibility:Inv | EvenSum | A014053 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 113 | Divisibility:Inv | OddSum | A093313 | 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 114 | Divisibility:Inv | AltSum | A130779 | 1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 115 | Divisibility:Inv | DiagSum | A098018 | 1 0 1 -1 0 0 -1 1 -1 -1 1 1 -3 0 1 0 0 0 -2 0 -1 0 3 1 -5 0 1 0 0 0 -1 -1 | +| 116 | Divisibility:Inv | AccSum | A000010 | 1 1 -1 -2 -2 -4 -2 -6 -4 -6 -4 -10 -4 -12 -6 -8 -8 -16 -6 -18 -8 -12 -10 -22 -8 -20 -12 -18 -12 -28 | +| 117 | Divisibility:Inv | AccRevSum | A225530 | 1 2 1 2 2 4 2 6 4 6 4 10 4 12 6 8 8 16 6 18 8 12 10 22 8 20 12 18 12 28 8 30 | +| 118 | Divisibility:Inv | ColMiddle | B135528 | 1 0 -1 -1 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 | +| 119 | Divisibility:Inv | CentralO | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 120 | Divisibility:Inv | BinConv | missing | 1 1 -1 -2 -5 -4 -28 -6 -69 -83 -286 -10 -1352 -12 -3508 -3442 -12869 -16 -66367 -18 -189410 -117588 | +| 121 | Divisibility:Inv | InvBinConv | missing | 1 1 3 -2 -5 -4 0 -6 -69 -83 198 -10 -1352 -12 3328 -3442 -12869 -16 29241 -18 -189410 -117588 | +| 122 | Divisibility:Inv | TransNat0 | A000010 | 0 1 1 2 2 4 2 6 4 6 4 10 4 12 6 8 8 16 6 18 8 12 10 22 8 20 12 18 12 28 8 30 | +| 123 | Divisibility:Inv | TransNat1 | A225530 | 1 2 1 2 2 4 2 6 4 6 4 10 4 12 6 8 8 16 6 18 8 12 10 22 8 20 12 18 12 28 8 30 | +| 124 | Divisibility:Inv | TransSqrs | A007434 | 0 1 3 8 12 24 24 48 48 72 72 120 96 168 144 192 192 288 216 360 288 384 360 528 384 600 504 648 576 | +| 125 | Divisibility:Inv | PosHalf | missing | 1 1 -1 -3 -3 -15 9 -63 -15 -63 225 -1023 705 -4095 3969 11265 -255 -65535 28161 -262143 195585 | +| 126 | Divisibility:Inv | NegHalf | missing | 1 1 3 -3 -3 -15 -39 -63 -15 -63 -735 -1023 705 -4095 -12159 11265 -255 -65535 -36351 -262143 195585 | +| 127 | Divisibility:Inv | DiagRow1 | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 128 | Divisibility:Inv | DiagRow2 | A093313 | 0 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 129 | Divisibility:Inv | DiagRow3 | A045840 | 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 130 | Divisibility:Inv | DiagCol1 | A008683 | 1 -1 -1 0 -1 1 -1 0 0 1 -1 0 -1 1 1 0 -1 0 -1 0 1 1 -1 0 0 1 0 0 -1 -1 -1 0 | +| 131 | Divisibility:Inv | DiagCol2 | A036988 | 1 0 -1 0 -1 0 0 0 -1 0 1 0 -1 0 0 0 0 0 1 0 -1 0 0 0 -1 0 1 0 1 0 0 0 | +| 132 | Divisibility:Inv | DiagCol3 | A037011 | 1 0 0 -1 0 0 -1 0 0 0 0 0 -1 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 1 0 0 -1 0 | +| 133 | Divisibility:Inv | Poly | A060701 | 1 0 1 0 1 1 0 0 2 1 0 0 2 3 1 0 0 6 6 4 1 0 0 12 24 12 5 1 0 0 30 72 60 20 6 1 0 0 54 240 240 120 | +| 134 | Divisibility:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 135 | Divisibility:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 136 | Divisibility:Inv | PolyRow3 | B007531 | 0 0 6 24 60 120 210 336 504 720 990 1320 1716 2184 2730 3360 4080 4896 5814 6840 7980 9240 10626 | +| 137 | Divisibility:Inv | PolyCol2 | B027375 | 1 2 2 6 12 30 54 126 240 504 990 2046 4020 8190 16254 32730 65280 131070 261576 524286 1047540 | +| 138 | Divisibility:Inv | PolyCol3 | A054718 | 1 3 6 24 72 240 696 2184 6480 19656 58800 177144 530640 1594320 4780776 14348640 43040160 129140160 | +| 139 | Divisibility:Inv | PolyDiag | A252764 | 1 1 2 24 240 3120 46410 823536 16773120 387419760 9999899910 285311670600 8916097441680 | +| 140 | Divisibility:Inv:Rev | Triangle | missing | 1 1 0 1 -1 0 1 0 -1 0 1 0 -1 0 0 1 0 0 0 -1 0 1 0 0 -1 -1 1 0 1 0 0 0 0 0 -1 0 1 0 0 0 -1 0 0 0 0 1 | +| 141 | Divisibility:Inv:Rev | Rev | A363914 | 1 0 1 0 -1 1 0 -1 0 1 0 0 -1 0 1 0 -1 0 0 0 1 0 1 -1 -1 0 0 1 0 -1 0 0 0 0 0 1 0 0 0 0 -1 0 0 0 1 0 | +| 142 | Divisibility:Inv:Rev | InvRev | A113704 | 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 0 1 0 | +| 143 | Divisibility:Inv:Rev | Acc | missing | 1 1 1 1 0 0 1 1 0 0 1 1 0 0 0 1 1 1 1 0 0 1 1 1 0 -1 0 0 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 | +| 144 | Divisibility:Inv:Rev | AccRev | missing | 1 0 1 0 -1 0 0 -1 -1 0 0 0 -1 -1 0 0 -1 -1 -1 -1 0 0 1 0 -1 -1 -1 0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 | +| 145 | Divisibility:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -1 1 0 0 1 0 -1 1 0 -1 0 1 0 0 0 1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 -1 0 1 0 0 0 0 1 1 0 0 0 | +| 146 | Divisibility:Inv:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 0 -3 0 1 0 -3 0 0 1 0 0 0 -5 0 1 0 0 -4 -5 6 0 1 0 0 0 0 0 -7 0 1 0 0 0 -5 0 0 0 0 1 | +| 147 | Divisibility:Inv:Rev | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 148 | Divisibility:Inv:Rev | EvenSum | A014060 | 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 149 | Divisibility:Inv:Rev | OddSum | A085979 | 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 150 | Divisibility:Inv:Rev | AltSum | A130779 | 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 151 | Divisibility:Inv:Rev | DiagSum | missing | 1 1 1 0 1 0 0 1 1 -1 0 2 0 0 1 -1 1 1 -1 2 0 -1 2 1 0 -1 0 0 1 2 -1 1 | +| 152 | Divisibility:Inv:Rev | AccSum | A225530 | 1 2 1 2 2 4 2 6 4 6 4 10 4 12 6 8 8 16 6 18 8 12 10 22 8 20 12 18 12 28 8 30 | +| 153 | Divisibility:Inv:Rev | AccRevSum | A000010 | 1 1 -1 -2 -2 -4 -2 -6 -4 -6 -4 -10 -4 -12 -6 -8 -8 -16 -6 -18 -8 -12 -10 -22 -8 -20 -12 -18 -12 -28 | +| 154 | Divisibility:Inv:Rev | ColMiddle | A266591 | 1 1 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 | +| 155 | Divisibility:Inv:Rev | BinConv | missing | 1 1 -1 -2 -5 -4 -28 -6 -69 -83 -286 -10 -1352 -12 -3508 -3442 -12869 -16 -66367 -18 -189410 -117588 | +| 156 | Divisibility:Inv:Rev | InvBinConv | missing | 1 -1 3 2 -5 4 0 6 -69 83 198 10 -1352 12 3328 3442 -12869 16 29241 18 -189410 117588 705180 22 | +| 157 | Divisibility:Inv:Rev | TransNat0 | B000010 | 0 0 -1 -2 -2 -4 -2 -6 -4 -6 -4 -10 -4 -12 -6 -8 -8 -16 -6 -18 -8 -12 -10 -22 -8 -20 -12 -18 -12 -28 | +| 158 | Divisibility:Inv:Rev | TransNat1 | A000010 | 1 1 -1 -2 -2 -4 -2 -6 -4 -6 -4 -10 -4 -12 -6 -8 -8 -16 -6 -18 -8 -12 -10 -22 -8 -20 -12 -18 -12 -28 | +| 159 | Divisibility:Inv:Rev | TransSqrs | missing | 0 0 -1 -4 -4 -16 0 -36 -16 -36 -8 -100 0 -144 -24 -48 -64 -256 0 -324 -32 -120 -80 -484 0 -400 -120 | +| 160 | Divisibility:Inv:Rev | PosHalf | B027375 | 1 2 2 6 12 30 54 126 240 504 990 2046 4020 8190 16254 32730 65280 131070 261576 524286 1047540 | +| 161 | Divisibility:Inv:Rev | NegHalf | missing | 1 -2 6 -6 12 -30 66 -126 240 -504 1050 -2046 4020 -8190 16506 -32730 65280 -131070 262584 -524286 | +| 162 | Divisibility:Inv:Rev | DiagRow1 | A008683 | 1 -1 -1 0 -1 1 -1 0 0 1 -1 0 -1 1 1 0 -1 0 -1 0 1 1 -1 0 0 1 0 0 -1 -1 -1 0 | +| 163 | Divisibility:Inv:Rev | DiagRow2 | A036988 | 1 0 -1 0 -1 0 0 0 -1 0 1 0 -1 0 0 0 0 0 1 0 -1 0 0 0 -1 0 1 0 1 0 0 0 | +| 164 | Divisibility:Inv:Rev | DiagRow3 | A037011 | 1 0 0 -1 0 0 -1 0 0 0 0 0 -1 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 1 0 0 -1 0 | +| 165 | Divisibility:Inv:Rev | DiagCol1 | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 166 | Divisibility:Inv:Rev | DiagCol2 | A093313 | 0 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 167 | Divisibility:Inv:Rev | DiagCol3 | A045840 | 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 168 | Divisibility:Inv:Rev | Poly | A071024 | 1 1 1 1 1 1 1 0 1 1 1 0 -1 1 1 1 0 -3 -2 1 1 1 0 -3 -8 -3 1 1 1 0 -15 -8 -15 -4 1 1 1 0 9 -80 -15 | +| 169 | Divisibility:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 170 | Divisibility:Inv:Rev | PolyRow3 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | +| 171 | Divisibility:Inv:Rev | PolyCol2 | missing | 1 1 -1 -3 -3 -15 9 -63 -15 -63 225 -1023 705 -4095 3969 11265 -255 -65535 28161 -262143 195585 | +| 172 | Divisibility:Inv:Rev | PolyCol3 | missing | 1 1 -2 -8 -8 -80 136 -728 -80 -728 12880 -59048 51760 -531440 1060696 4192480 -6560 -43046720 | +| 173 | Divisibility:Inv:Rev | PolyDiag | missing | 1 1 -1 -8 -15 -624 6265 -117648 -4095 -531440 899900001 -25937424600 61484396545 -23298085122480 | \ No newline at end of file diff --git a/data/md/Euclid.md b/data/md/Euclid.md index cc1814d..e4140d5 100644 --- a/data/md/Euclid.md +++ b/data/md/Euclid.md @@ -23,8 +23,8 @@ | 20 | Euclid:Std | TransNat0 | A023896 | 0 1 1 3 4 10 6 21 16 27 20 55 24 78 42 60 64 136 54 171 80 126 110 253 96 250 156 243 168 406 120 | | 21 | Euclid:Std | TransNat1 | B092790 | 0 3 2 5 6 14 8 27 20 33 24 65 28 90 48 68 72 152 60 189 88 138 120 275 104 270 168 261 180 434 128 | | 22 | Euclid:Std | TransSqrs | A053818 | 0 1 1 5 10 30 26 91 84 159 140 385 196 650 406 620 680 1496 654 2109 1080 1806 1650 3795 1544 4150 | -| 23 | Euclid:Std | PosHalf | missing | 0 3 2 6 10 30 34 126 170 438 650 2046 2210 8190 10794 27030 43690 131070 141474 524286 666250 | -| 24 | Euclid:Std | NegHalf | missing | 0 -1 -2 2 -10 10 -34 42 -170 114 -650 682 -2210 2730 -10794 6290 -43690 43690 -141474 174762 | +| 23 | Euclid:Std | PosHalf | A367544 | 0 3 2 6 10 30 34 126 170 438 650 2046 2210 8190 10794 27030 43690 131070 141474 524286 666250 | +| 24 | Euclid:Std | NegHalf | A367545 | 0 -1 -2 2 -10 10 -34 42 -170 114 -650 682 -2210 2730 -10794 6290 -43690 43690 -141474 174762 | | 25 | Euclid:Std | DiagRow2 | A000035 | 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 | | 26 | Euclid:Std | DiagRow3 | A011655 | 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 | | 27 | Euclid:Std | DiagCol2 | A000035 | 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 | @@ -33,6 +33,42 @@ | 30 | Euclid:Std | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | | 31 | Euclid:Std | PolyRow2 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | | 32 | Euclid:Std | PolyRow3 | A002378 | 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | -| 33 | Euclid:Std | PolyCol2 | missing | 0 3 2 6 10 30 34 126 170 438 650 2046 2210 8190 10794 27030 43690 131070 141474 524286 666250 | +| 33 | Euclid:Std | PolyCol2 | A367544 | 0 3 2 6 10 30 34 126 170 438 650 2046 2210 8190 10794 27030 43690 131070 141474 524286 666250 | | 34 | Euclid:Std | PolyCol3 | missing | 0 4 3 12 30 120 246 1092 2460 9084 21900 88572 179580 797160 1791426 6563280 16142520 64570080 | -| 35 | Euclid:Std | PolyDiag | missing | 0 2 2 12 68 780 7782 137256 2130440 47895390 1010001010 28531167060 743044451340 25239592216020 | \ No newline at end of file +| 35 | Euclid:Std | PolyDiag | A367546 | 0 2 2 12 68 780 7782 137256 2130440 47895390 1010001010 28531167060 743044451340 25239592216020 | +| 36 | Euclid:Alt | Triangle | A217831 | 0 1 -1 0 -1 0 0 -1 1 0 0 -1 0 -1 0 0 -1 1 -1 1 0 0 -1 0 0 0 -1 0 0 -1 1 -1 1 -1 1 0 0 -1 0 -1 0 -1 | +| 37 | Euclid:Alt | Rev | A217831 | 0 -1 1 0 -1 0 0 1 -1 0 0 -1 0 -1 0 0 1 -1 1 -1 0 0 -1 0 0 0 -1 0 0 1 -1 1 -1 1 -1 0 0 -1 0 -1 0 -1 | +| 38 | Euclid:Alt | Acc | missing | 0 1 0 0 -1 -1 0 -1 0 0 0 -1 -1 -2 -2 0 -1 0 -1 0 0 0 -1 -1 -1 -1 -2 -2 0 -1 0 -1 0 -1 0 0 0 -1 -1 | +| 39 | Euclid:Alt | AccRev | missing | 0 -1 0 0 -1 -1 0 1 0 0 0 -1 -1 -2 -2 0 1 0 1 0 0 0 -1 -1 -1 -1 -2 -2 0 1 0 1 0 1 0 0 0 -1 -1 -2 -2 | +| 40 | Euclid:Alt | AntiDiag | A267676 | 0 1 0 -1 0 -1 0 -1 0 0 -1 1 0 -1 0 0 0 -1 1 -1 0 -1 0 -1 0 0 -1 1 0 1 0 -1 0 -1 0 0 0 -1 1 -1 1 -1 | +| 41 | Euclid:Alt | Diffx1 | missing | 0 1 -2 0 -2 0 0 -2 3 0 0 -2 0 -4 0 0 -2 3 -4 5 0 0 -2 0 0 0 -6 0 0 -2 3 -4 5 -6 7 0 0 -2 0 -4 0 -6 | +| 42 | Euclid:Alt | RowSum | missing | 0 0 -1 0 -2 0 -2 0 -4 0 -4 0 -4 0 -6 0 -8 0 -6 0 -8 0 -10 0 -8 0 -12 0 -12 0 -8 0 | +| 43 | Euclid:Alt | EvenSum | A349136 | 0 1 0 1 0 2 0 3 0 3 0 5 0 6 0 4 0 8 0 9 0 6 0 11 0 10 0 9 0 14 0 15 | +| 44 | Euclid:Alt | OddSum | A055034 | 0 -1 -1 -1 -2 -2 -2 -3 -4 -3 -4 -5 -4 -6 -6 -4 -8 -8 -6 -9 -8 -6 -10 -11 -8 -10 -12 -9 -12 -14 -8 | +| 45 | Euclid:Alt | AltSum | B000010 | 0 2 1 2 2 4 2 6 4 6 4 10 4 12 6 8 8 16 6 18 8 12 10 22 8 20 12 18 12 28 8 30 | +| 46 | Euclid:Alt | DiagSum | missing | 0 1 -1 -1 -1 0 -1 -1 -2 1 -2 -1 -2 0 -3 0 -4 0 -3 -1 -4 2 -5 -1 -4 0 -6 -1 -6 0 -4 -1 | +| 47 | Euclid:Alt | AccSum | missing | 0 1 -2 -1 -6 -2 -8 -3 -20 -1 -24 -5 -28 -6 -48 4 -72 -8 -60 -9 -88 6 -120 -11 -104 -2 -168 -1 -180 | +| 48 | Euclid:Alt | AccRevSum | missing | 0 -1 -2 1 -6 2 -8 3 -20 1 -24 5 -28 6 -48 -4 -72 8 -60 9 -88 -6 -120 11 -104 2 -168 1 -180 14 -128 | +| 49 | Euclid:Alt | RowMax | A011584 | 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 50 | Euclid:Alt | ColMiddle | A266591 | 0 1 -1 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 | +| 51 | Euclid:Alt | CentralE | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 52 | Euclid:Alt | ColLeft | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 53 | Euclid:Alt | ColRight | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 54 | Euclid:Alt | BinConv | missing | 0 0 -2 0 -8 0 -12 0 -128 0 -260 0 -1608 0 -4760 0 -32768 0 -80820 0 -493280 0 -1391720 0 -5769552 0 | +| 55 | Euclid:Alt | InvBinConv | B056188 | 0 -2 2 -6 8 -30 12 -126 128 -342 260 -2046 1608 -8190 4760 -15840 32768 -131070 80820 -524286 | +| 56 | Euclid:Alt | TransNat0 | A325887 | 0 -1 -1 1 -4 2 -6 3 -16 1 -20 5 -24 6 -42 -4 -64 8 -54 9 -80 -6 -110 11 -96 2 -156 1 -168 14 -120 | +| 57 | Euclid:Alt | TransNat1 | missing | 0 -1 -2 1 -6 2 -8 3 -20 1 -24 5 -28 6 -48 -4 -72 8 -60 9 -88 -6 -120 11 -104 2 -168 1 -180 14 -128 | +| 58 | Euclid:Alt | TransSqrs | missing | 0 -1 -1 3 -10 10 -26 21 -84 9 -140 55 -196 78 -406 -60 -680 136 -654 171 -1080 -126 -1650 253 -1544 | +| 59 | Euclid:Alt | PosHalf | A367545 | 0 1 -2 -2 -10 -10 -34 -42 -170 -114 -650 -682 -2210 -2730 -10794 -6290 -43690 -43690 -141474 | +| 60 | Euclid:Alt | NegHalf | A367544 | 0 -3 2 -6 10 -30 34 -126 170 -438 650 -2046 2210 -8190 10794 -27030 43690 -131070 141474 -524286 | +| 61 | Euclid:Alt | DiagRow2 | A000035 | 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 | +| 62 | Euclid:Alt | DiagRow3 | A011655 | 0 -1 1 0 1 -1 0 -1 1 0 1 -1 0 -1 1 0 1 -1 0 -1 1 0 1 -1 0 -1 1 0 1 -1 0 -1 | +| 63 | Euclid:Alt | DiagCol2 | A000035 | 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 | +| 64 | Euclid:Alt | DiagCol3 | A011655 | 0 -1 -1 0 -1 -1 0 -1 -1 0 -1 -1 0 -1 -1 0 -1 -1 0 -1 -1 0 -1 -1 0 -1 -1 0 -1 -1 0 -1 | +| 65 | Euclid:Alt | Poly | missing | 0 1 0 0 0 0 0 -1 -1 0 0 0 -2 -2 0 0 -2 2 -3 -3 0 0 0 -10 6 -4 -4 0 0 -2 10 -30 12 -5 -5 0 0 0 -34 | +| 66 | Euclid:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 67 | Euclid:Alt | PolyRow2 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 68 | Euclid:Alt | PolyRow3 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 69 | Euclid:Alt | PolyCol2 | A367545 | 0 -1 -2 2 -10 10 -34 42 -170 114 -650 682 -2210 2730 -10794 6290 -43690 43690 -141474 174762 | +| 70 | Euclid:Alt | PolyCol3 | missing | 0 -2 -3 6 -30 60 -246 546 -2460 4218 -21900 44286 -179580 398580 -1791426 3015960 -16142520 | +| 71 | Euclid:Alt | PolyDiag | missing | 0 0 -2 6 -68 520 -7782 102942 -2130440 38211336 -1010001010 23775972550 -743044451340 | \ No newline at end of file diff --git a/data/md/Euler.md b/data/md/Euler.md index b2ff445..129d2bf 100644 --- a/data/md/Euler.md +++ b/data/md/Euler.md @@ -42,125 +42,167 @@ | 39 | Euler:Std | PolyCol2 | A102590 | 1 1 1 0 -3 -14 -39 -130 -263 -1214 -179 -21810 98277 -1021214 8446881 -82814290 836117617 | | 40 | Euler:Std | PolyCol3 | missing | 1 2 4 7 8 -13 -146 -773 -3352 -13633 -52046 -202253 -724012 -3012553 -8839346 -57776933 15860528 | | 41 | Euler:Std | PolyDiag | missing | 1 0 1 7 69 859 12985 231155 4738153 109925183 2847749421 81488820579 2552715369677 86889633786487 | -| 42 | Euler:Rev | Triangle | A363394 | 1 1 -1 1 -2 1 1 -3 3 -2 1 -4 6 -8 5 1 -5 10 -20 25 -16 1 -6 15 -40 75 -96 61 1 -7 21 -70 175 -336 | -| 43 | Euler:Rev | InvRev | A109449 | 1 1 1 1 2 1 2 3 3 1 5 8 6 4 1 16 25 20 10 5 1 61 96 75 40 15 6 1 272 427 336 175 70 21 7 1 1385 | -| 44 | Euler:Rev | Acc | missing | 1 1 0 1 -1 0 1 -2 1 -1 1 -3 3 -5 0 1 -4 6 -14 11 -5 1 -5 10 -30 45 -51 10 1 -6 15 -55 120 -216 211 | -| 45 | Euler:Rev | AccRev | missing | 1 -1 0 1 -1 0 -2 1 -2 -1 5 -3 3 -1 0 -16 9 -11 -1 -6 -5 61 -35 40 0 15 9 10 -272 155 -181 -6 -76 | -| 46 | Euler:Rev | AntiDiag | A011973 | 1 1 1 -1 1 -2 1 -3 1 1 -4 3 1 -5 6 -2 1 -6 10 -8 1 -7 15 -20 5 1 -8 21 -40 25 1 -9 28 -70 75 -16 1 | -| 47 | Euler:Rev | Diffx1 | missing | 1 1 -2 1 -4 3 1 -6 9 -8 1 -8 18 -32 25 1 -10 30 -80 125 -96 1 -12 45 -160 375 -576 427 1 -14 63 | -| 48 | Euler:Rev | RowSum | A062162 | 1 0 0 -1 0 -5 10 -61 280 -1665 10470 -73621 561660 -4650425 41441530 -395757181 4031082640 | -| 49 | Euler:Rev | EvenSum | A003701 | 1 1 2 4 12 36 152 624 3472 18256 126752 814144 6781632 51475776 500231552 4381112064 48656756992 | -| 50 | Euler:Rev | OddSum | A009739 | 0 -1 -2 -5 -12 -41 -142 -685 -3192 -19921 -116282 -887765 -6219972 -56126201 -458790022 -4776869245 | -| 51 | Euler:Rev | AltSum | A000667 | 1 2 4 9 24 77 294 1309 6664 38177 243034 1701909 13001604 107601977 959021574 9157981309 | -| 52 | Euler:Rev | DiagSum | missing | 1 1 0 -1 -1 0 0 -3 -6 -1 9 -6 -58 -35 194 191 -1009 -1728 4600 12209 -24126 -95361 118201 751562 | -| 53 | Euler:Rev | AccSum | A337443 | 1 1 0 -1 -4 -5 -20 9 -208 855 -6180 41549 -321792 2651155 -23664420 225865769 -2301032256 | -| 54 | Euler:Rev | AccRevSum | missing | 1 -1 0 -4 4 -30 100 -558 3008 -19170 131820 -998622 8185032 -72407530 686728900 -6953737846 | -| 55 | Euler:Rev | RowLcm | missing | 1 1 2 6 120 400 146400 8710800 6434377600 718076540160 362779448854233600 919162196913676531200 | -| 56 | Euler:Rev | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 57 | Euler:Rev | RowMax | A065619 | 1 1 2 3 8 25 96 427 2176 12465 79360 555731 4245504 35135945 313155584 2990414715 30460116992 | -| 58 | Euler:Rev | ColMiddle | missing | 1 1 -2 -3 6 10 -40 -70 350 630 -4032 -7392 56364 104676 -933504 -1750320 17824950 33669350 | -| 59 | Euler:Rev | CentralE | B343846 | 1 -2 6 -40 350 -4032 56364 -933504 17824950 -385848320 9334057876 -249576198144 7308698191340 | -| 60 | Euler:Rev | CentralO | missing | 1 -3 10 -70 630 -7392 104676 -1750320 33669350 -733111808 17819565036 -478354379776 14055188829500 | -| 61 | Euler:Rev | ColRight | A000111 | 1 -1 1 -2 5 -16 61 -272 1385 -7936 50521 -353792 2702765 -22368256 199360981 -1903757312 | -| 62 | Euler:Rev | BinConv | missing | 1 0 -2 -1 -6 -15 0 -271 574 -5379 12408 -63391 -355740 5907811 -87791964 971243909 -10733095626 | -| 63 | Euler:Rev | InvBinConv | missing | 1 -2 6 -21 90 -467 2824 -19383 148414 -1251935 11523136 -114837943 1231239108 -14124972773 | -| 64 | Euler:Rev | TransNat0 | missing | 0 -1 0 -3 4 -25 90 -497 2728 -17505 121350 -925001 7623372 -67757105 645287370 -6557980665 | -| 65 | Euler:Rev | TransNat1 | missing | 1 -1 0 -4 4 -30 100 -558 3008 -19170 131820 -998622 8185032 -72407530 686728900 -6953737846 | -| 66 | Euler:Rev | TransSqrs | missing | 0 -1 2 -9 28 -145 690 -4109 25800 -182097 1388550 -11509861 102580476 -979946201 9982622650 | -| 67 | Euler:Rev | PosHalf | A102590 | 1 1 1 0 -3 -14 -39 -130 -263 -1214 -179 -21810 98277 -1021214 8446881 -82814290 836117617 | -| 68 | Euler:Rev | NegHalf | A000752 | 1 -3 9 -28 93 -338 1369 -6238 31993 -183618 1169229 -8187598 62545893 -517622498 4613366689 | -| 69 | Euler:Rev | DiagRow1 | A065619 | 1 -2 3 -8 25 -96 427 -2176 12465 -79360 555731 -4245504 35135945 -313155584 2990414715 -30460116992 | -| 70 | Euler:Rev | DiagRow2 | A162171 | 1 -3 6 -20 75 -336 1708 -9792 62325 -436480 3334386 -27595776 245951615 -2348666880 23923317720 | -| 71 | Euler:Rev | DiagRow3 | missing | 1 -4 10 -40 175 -896 5124 -32640 228525 -1745920 14449006 -128780288 1229758075 -12526223360 | -| 72 | Euler:Rev | DiagCol1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | -| 73 | Euler:Rev | DiagCol2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | -| 74 | Euler:Rev | DiagCol3 | B007290 | -2 -8 -20 -40 -70 -112 -168 -240 -330 -440 -572 -728 -910 -1120 -1360 -1632 -1938 -2280 -2660 -3080 | -| 75 | Euler:Rev | Poly | A128494 | 1 1 1 1 0 1 1 0 -1 1 1 -1 1 -2 1 1 0 -9 4 -3 1 1 -5 33 -35 9 -4 1 1 10 -241 232 -91 16 -5 1 1 -61 | -| 76 | Euler:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 77 | Euler:Rev | PolyRow2 | A174902 | 1 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 | -| 78 | Euler:Rev | PolyRow3 | A005898 | 1 -1 -9 -35 -91 -189 -341 -559 -855 -1241 -1729 -2331 -3059 -3925 -4941 -6119 -7471 -9009 -10745 | -| 79 | Euler:Rev | PolyCol2 | A343843 | 1 -1 1 -9 33 -241 1761 -15929 161473 -1853281 23584321 -330371049 5047404513 -83546832721 | -| 80 | Euler:Rev | PolyCol3 | missing | 1 -2 4 -35 232 -2327 26254 -352775 5381032 -92544227 1767139954 -37127146415 850874177332 | -| 81 | Euler:Rev | PolyDiag | missing | 1 0 1 -35 849 -36649 2188585 -179017579 19092801217 -2582218381193 431768517064401 | -| 82 | Euler:Inv | Triangle | A109449 | 1 1 1 1 2 1 2 3 3 1 5 8 6 4 1 16 25 20 10 5 1 61 96 75 40 15 6 1 272 427 336 175 70 21 7 1 1385 | -| 83 | Euler:Inv | Rev | A363394 | 1 1 1 1 2 1 1 3 3 2 1 4 6 8 5 1 5 10 20 25 16 1 6 15 40 75 96 61 1 7 21 70 175 336 427 272 1 8 28 | -| 84 | Euler:Inv | RevInv | A363394 | 1 1 -1 1 -2 1 1 -3 3 -2 1 -4 6 -8 5 1 -5 10 -20 25 -16 1 -6 15 -40 75 -96 61 1 -7 21 -70 175 -336 | -| 85 | Euler:Inv | Acc | missing | 1 1 2 1 3 4 2 5 8 9 5 13 19 23 24 16 41 61 71 76 77 61 157 232 272 287 293 294 272 699 1035 1210 | -| 86 | Euler:Inv | AccRev | missing | 1 1 2 1 3 4 1 4 7 9 1 5 11 19 24 1 6 16 36 61 77 1 7 22 62 137 233 294 1 8 29 99 274 610 1037 1309 | -| 87 | Euler:Inv | AntiDiag | missing | 1 1 1 1 2 2 5 3 1 16 8 3 61 25 6 1 272 96 20 4 1385 427 75 10 1 7936 2176 336 40 5 50521 12465 1708 | -| 88 | Euler:Inv | Diffx1 | missing | 1 1 2 1 4 3 2 6 9 4 5 16 18 16 5 16 50 60 40 25 6 61 192 225 160 75 36 7 272 854 1008 700 350 126 | -| 89 | Euler:Inv | RowSum | A000667 | 1 2 4 9 24 77 294 1309 6664 38177 243034 1701909 13001604 107601977 959021574 9157981309 | -| 90 | Euler:Inv | EvenSum | A062272 | 1 1 2 5 12 41 152 685 3472 19921 126752 887765 6781632 56126201 500231552 4776869245 48656756992 | -| 91 | Euler:Inv | OddSum | A062161 | 0 1 2 4 12 36 142 624 3192 18256 116282 814144 6219972 51475776 458790022 4381112064 44625674352 | -| 92 | Euler:Inv | AltSum | A062162 | 1 0 0 1 0 5 10 61 280 1665 10470 73621 561660 4650425 41441530 395757181 4031082640 43626778785 | -| 93 | Euler:Inv | DiagSum | A343845 | 1 1 2 4 9 27 93 392 1898 10493 64885 443916 3326317 27085015 238073306 2246348560 22643042325 | -| 94 | Euler:Inv | AccSum | missing | 1 3 8 24 84 342 1596 8414 49504 321794 2291604 17749534 148597944 1337406826 12878895932 | -| 95 | Euler:Inv | AccRevSum | A000737 | 1 3 8 21 60 197 756 3367 17136 98153 624804 4375283 33424512 276622829 2465449252 23543304919 | -| 96 | Euler:Inv | RowLcm | missing | 1 1 2 6 120 400 146400 8710800 6434377600 718076540160 362779448854233600 919162196913676531200 | -| 97 | Euler:Inv | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 98 | Euler:Inv | RowMax | A065619 | 1 1 2 3 8 25 96 427 2176 12465 79360 555731 4245504 35135945 313155584 2990414715 30460116992 | -| 99 | Euler:Inv | ColMiddle | missing | 1 1 2 3 6 20 40 175 350 2016 4032 28182 56364 466752 933504 8912475 17824950 192924160 385848320 | -| 100 | Euler:Inv | CentralE | B343846 | 1 2 6 40 350 4032 56364 933504 17824950 385848320 9334057876 249576198144 7308698191340 | -| 101 | Euler:Inv | CentralO | missing | 1 3 20 175 2016 28182 466752 8912475 192924160 4667028938 124788099072 3654349095670 | -| 102 | Euler:Inv | ColLeft | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | -| 103 | Euler:Inv | BinConv | missing | 1 2 6 21 90 467 2824 19383 148414 1251935 11523136 114837943 1231239108 14124972773 172584011500 | -| 104 | Euler:Inv | InvBinConv | missing | 1 0 -2 -1 -6 -15 0 -271 574 -5379 12408 -63391 -355740 5907811 -87791964 971243909 -10733095626 | -| 105 | Euler:Inv | TransNat0 | A231179 | 0 1 4 12 36 120 462 2058 10472 59976 381770 2673374 20422908 169020852 1506427678 14385323610 | -| 106 | Euler:Inv | TransNat1 | A000737 | 1 3 8 21 60 197 756 3367 17136 98153 624804 4375283 33424512 276622829 2465449252 23543304919 | -| 107 | Euler:Inv | TransSqrs | missing | 0 1 6 24 84 300 1182 5292 26936 154224 981530 6872844 52503396 434518656 3872719606 36981738780 | -| 108 | Euler:Inv | PosHalf | A000834 | 1 3 9 35 177 1123 8569 76355 777697 8911683 113466729 1589173475 24280777617 401898209443 | -| 109 | Euler:Inv | NegHalf | A343843 | 1 -1 1 -9 33 -241 1761 -15929 161473 -1853281 23584321 -330371049 5047404513 -83546832721 | -| 110 | Euler:Inv | DiagRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 111 | Euler:Inv | DiagRow2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | -| 112 | Euler:Inv | DiagRow3 | B007290 | 2 8 20 40 70 112 168 240 330 440 572 728 910 1120 1360 1632 1938 2280 2660 3080 3542 4048 4600 5200 | -| 113 | Euler:Inv | DiagCol1 | A065619 | 1 2 3 8 25 96 427 2176 12465 79360 555731 4245504 35135945 313155584 2990414715 30460116992 | -| 114 | Euler:Inv | DiagCol2 | A162171 | 1 3 6 20 75 336 1708 9792 62325 436480 3334386 27595776 245951615 2348666880 23923317720 | -| 115 | Euler:Inv | DiagCol3 | missing | 1 4 10 40 175 896 5124 32640 228525 1745920 14449006 128780288 1229758075 12526223360 135565467080 | -| 116 | Euler:Inv | Poly | missing | 1 1 1 1 2 1 2 4 3 1 5 9 9 4 1 16 24 28 16 5 1 61 77 93 65 25 6 1 272 294 338 272 126 36 7 1 1385 | -| 117 | Euler:Inv | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 118 | Euler:Inv | PolyRow2 | A162395 | 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 | -| 119 | Euler:Inv | PolyRow3 | A034126 | 2 9 28 65 126 217 344 513 730 1001 1332 1729 2198 2745 3376 4097 4914 5833 6860 8001 9262 10649 | -| 120 | Euler:Inv | PolyCol2 | A000752 | 1 3 9 28 93 338 1369 6238 31993 183618 1169229 8187598 62545893 517622498 4613366689 44054301358 | -| 121 | Euler:Inv | PolyCol3 | A307878 | 1 4 16 65 272 1189 5506 27365 147512 868129 5589646 39309965 300724652 2489776969 22192420786 | -| 122 | Euler:Inv | PolyDiag | A292976 | 1 2 9 65 645 8141 124729 2247853 46584937 1091386465 28521016621 822514469149 25946988879053 | -| 123 | Euler:Inv:Rev | Triangle | A363394 | 1 1 1 1 2 1 1 3 3 2 1 4 6 8 5 1 5 10 20 25 16 1 6 15 40 75 96 61 1 7 21 70 175 336 427 272 1 8 28 | -| 124 | Euler:Inv:Rev | Rev | A109449 | 1 1 1 1 2 1 2 3 3 1 5 8 6 4 1 16 25 20 10 5 1 61 96 75 40 15 6 1 272 427 336 175 70 21 7 1 1385 | -| 125 | Euler:Inv:Rev | InvRev | A109449 | 1 -1 1 1 -2 1 -2 3 -3 1 5 -8 6 -4 1 -16 25 -20 10 -5 1 61 -96 75 -40 15 -6 1 -272 427 -336 175 -70 | -| 126 | Euler:Inv:Rev | Acc | missing | 1 1 2 1 3 4 1 4 7 9 1 5 11 19 24 1 6 16 36 61 77 1 7 22 62 137 233 294 1 8 29 99 274 610 1037 1309 | -| 127 | Euler:Inv:Rev | AccRev | missing | 1 1 2 1 3 4 2 5 8 9 5 13 19 23 24 16 41 61 71 76 77 61 157 232 272 287 293 294 272 699 1035 1210 | -| 128 | Euler:Inv:Rev | AntiDiag | A011973 | 1 1 1 1 1 2 1 3 1 1 4 3 1 5 6 2 1 6 10 8 1 7 15 20 5 1 8 21 40 25 1 9 28 70 75 16 1 10 36 112 175 | -| 129 | Euler:Inv:Rev | Diffx1 | missing | 1 1 2 1 4 3 1 6 9 8 1 8 18 32 25 1 10 30 80 125 96 1 12 45 160 375 576 427 1 14 63 280 875 2016 | -| 130 | Euler:Inv:Rev | RowSum | A000667 | 1 2 4 9 24 77 294 1309 6664 38177 243034 1701909 13001604 107601977 959021574 9157981309 | -| 131 | Euler:Inv:Rev | EvenSum | A003701 | 1 1 2 4 12 36 152 624 3472 18256 126752 814144 6781632 51475776 500231552 4381112064 48656756992 | -| 132 | Euler:Inv:Rev | OddSum | A009739 | 0 1 2 5 12 41 142 685 3192 19921 116282 887765 6219972 56126201 458790022 4776869245 44625674352 | -| 133 | Euler:Inv:Rev | AltSum | A062162 | 1 0 0 -1 0 -5 10 -61 280 -1665 10470 -73621 561660 -4650425 41441530 -395757181 4031082640 | -| 134 | Euler:Inv:Rev | DiagSum | missing | 1 1 2 3 5 8 14 25 48 95 199 430 972 2261 5456 13515 34533 90384 243030 668117 1881192 5406567 | -| 135 | Euler:Inv:Rev | AccSum | A000737 | 1 3 8 21 60 197 756 3367 17136 98153 624804 4375283 33424512 276622829 2465449252 23543304919 | -| 136 | Euler:Inv:Rev | AccRevSum | missing | 1 3 8 24 84 342 1596 8414 49504 321794 2291604 17749534 148597944 1337406826 12878895932 | -| 137 | Euler:Inv:Rev | RowLcm | missing | 1 1 2 6 120 400 146400 8710800 6434377600 718076540160 362779448854233600 919162196913676531200 | -| 138 | Euler:Inv:Rev | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 139 | Euler:Inv:Rev | RowMax | A065619 | 1 1 2 3 8 25 96 427 2176 12465 79360 555731 4245504 35135945 313155584 2990414715 30460116992 | -| 140 | Euler:Inv:Rev | ColMiddle | missing | 1 1 2 3 6 10 40 70 350 630 4032 7392 56364 104676 933504 1750320 17824950 33669350 385848320 | -| 141 | Euler:Inv:Rev | CentralE | B343846 | 1 2 6 40 350 4032 56364 933504 17824950 385848320 9334057876 249576198144 7308698191340 | -| 142 | Euler:Inv:Rev | CentralO | missing | 1 3 10 70 630 7392 104676 1750320 33669350 733111808 17819565036 478354379776 14055188829500 | -| 143 | Euler:Inv:Rev | ColRight | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | -| 144 | Euler:Inv:Rev | BinConv | missing | 1 2 6 21 90 467 2824 19383 148414 1251935 11523136 114837943 1231239108 14124972773 172584011500 | -| 145 | Euler:Inv:Rev | InvBinConv | missing | 1 0 -2 1 -6 15 0 271 574 5379 12408 63391 -355740 -5907811 -87791964 -971243909 -10733095626 | -| 146 | Euler:Inv:Rev | TransNat0 | missing | 0 1 4 15 60 265 1302 7105 42840 283617 2048570 16047625 135596340 1229804849 11919874358 | -| 147 | Euler:Inv:Rev | TransNat1 | missing | 1 3 8 24 84 342 1596 8414 49504 321794 2291604 17749534 148597944 1337406826 12878895932 | -| 148 | Euler:Inv:Rev | TransSqrs | missing | 0 1 6 33 180 1025 6222 40621 285880 2166993 17649530 153989605 1434584580 14224710617 149660973126 | -| 149 | Euler:Inv:Rev | PosHalf | A000752 | 1 3 9 28 93 338 1369 6238 31993 183618 1169229 8187598 62545893 517622498 4613366689 44054301358 | -| 150 | Euler:Inv:Rev | NegHalf | A102590 | 1 -1 1 0 -3 14 -39 130 -263 1214 -179 21810 98277 1021214 8446881 82814290 836117617 9075846014 | -| 151 | Euler:Inv:Rev | DiagRow1 | A065619 | 1 2 3 8 25 96 427 2176 12465 79360 555731 4245504 35135945 313155584 2990414715 30460116992 | -| 152 | Euler:Inv:Rev | DiagRow2 | A162171 | 1 3 6 20 75 336 1708 9792 62325 436480 3334386 27595776 245951615 2348666880 23923317720 | -| 153 | Euler:Inv:Rev | DiagRow3 | missing | 1 4 10 40 175 896 5124 32640 228525 1745920 14449006 128780288 1229758075 12526223360 135565467080 | -| 154 | Euler:Inv:Rev | DiagCol1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 155 | Euler:Inv:Rev | DiagCol2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | -| 156 | Euler:Inv:Rev | DiagCol3 | B007290 | 2 8 20 40 70 112 168 240 330 440 572 728 910 1120 1360 1632 1938 2280 2660 3080 3542 4048 4600 5200 | -| 157 | Euler:Inv:Rev | Poly | A091150 | 1 1 1 1 2 1 1 4 3 1 1 9 9 4 1 1 24 35 16 5 1 1 77 177 91 25 6 1 1 294 1123 688 189 36 7 1 1 1309 | -| 158 | Euler:Inv:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 159 | Euler:Inv:Rev | PolyRow2 | A162395 | 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 | -| 160 | Euler:Inv:Rev | PolyRow3 | A005898 | 1 9 35 91 189 341 559 855 1241 1729 2331 3059 3925 4941 6119 7471 9009 10745 12691 14859 17261 | -| 161 | Euler:Inv:Rev | PolyCol2 | A000834 | 1 3 9 35 177 1123 8569 76355 777697 8911683 113466729 1589173475 24280777617 401898209443 | -| 162 | Euler:Inv:Rev | PolyCol3 | missing | 1 4 16 91 688 6559 75106 1004071 15340408 263683459 5035965646 105797928751 2424709105228 | -| 163 | Euler:Inv:Rev | PolyDiag | missing | 1 2 9 91 1905 68401 3698929 280332235 28278441793 3660827615785 591142123944601 116435201160887159 | \ No newline at end of file +| 42 | Euler:Alt | Triangle | A109449 | 1 -1 -1 1 2 1 -2 -3 -3 -1 5 8 6 4 1 -16 -25 -20 -10 -5 -1 61 96 75 40 15 6 1 -272 -427 -336 -175 | +| 43 | Euler:Alt | Rev | A363394 | 1 -1 -1 1 2 1 -1 -3 -3 -2 1 4 6 8 5 -1 -5 -10 -20 -25 -16 1 6 15 40 75 96 61 -1 -7 -21 -70 -175 | +| 44 | Euler:Alt | Inv | missing | 1 1 1 -3 -2 1 -4 -3 3 1 21 16 -18 -4 1 46 35 -40 -10 5 1 -363 -276 315 80 -45 -6 1 -1114 -847 966 | +| 45 | Euler:Alt | RevInv | missing | 1 1 1 1 -2 -3 1 3 -3 -4 1 -4 -18 16 21 1 5 -10 -40 35 46 1 -6 -45 80 315 -276 -363 1 7 -21 -140 245 | +| 46 | Euler:Alt | Acc | missing | 1 -1 -2 1 3 4 -2 -5 -8 -9 5 13 19 23 24 -16 -41 -61 -71 -76 -77 61 157 232 272 287 293 294 -272 | +| 47 | Euler:Alt | AccRev | missing | 1 -1 -2 1 3 4 -1 -4 -7 -9 1 5 11 19 24 -1 -6 -16 -36 -61 -77 1 7 22 62 137 233 294 -1 -8 -29 -99 | +| 48 | Euler:Alt | AntiDiag | missing | 1 -1 1 -1 -2 2 5 -3 1 -16 8 -3 61 -25 6 -1 -272 96 -20 4 1385 -427 75 -10 1 -7936 2176 -336 40 -5 | +| 49 | Euler:Alt | Diffx1 | missing | 1 -1 -2 1 4 3 -2 -6 -9 -4 5 16 18 16 5 -16 -50 -60 -40 -25 -6 61 192 225 160 75 36 7 -272 -854 | +| 50 | Euler:Alt | RowSum | A000667 | 1 -2 4 -9 24 -77 294 -1309 6664 -38177 243034 -1701909 13001604 -107601977 959021574 -9157981309 | +| 51 | Euler:Alt | EvenSum | A062272 | 1 -1 2 -5 12 -41 152 -685 3472 -19921 126752 -887765 6781632 -56126201 500231552 -4776869245 | +| 52 | Euler:Alt | OddSum | A062161 | 0 -1 2 -4 12 -36 142 -624 3192 -18256 116282 -814144 6219972 -51475776 458790022 -4381112064 | +| 53 | Euler:Alt | AltSum | A062162 | 1 0 0 -1 0 -5 10 -61 280 -1665 10470 -73621 561660 -4650425 41441530 -395757181 4031082640 | +| 54 | Euler:Alt | DiagSum | missing | 1 -1 0 0 3 -11 41 -192 1024 -6061 39603 -283392 2204565 -18528503 167343104 -1616537472 16633258447 | +| 55 | Euler:Alt | AccSum | missing | 1 -3 8 -24 84 -342 1596 -8414 49504 -321794 2291604 -17749534 148597944 -1337406826 12878895932 | +| 56 | Euler:Alt | AccRevSum | A000737 | 1 -3 8 -21 60 -197 756 -3367 17136 -98153 624804 -4375283 33424512 -276622829 2465449252 | +| 57 | Euler:Alt | RowLcm | missing | 1 1 2 6 120 400 146400 8710800 6434377600 718076540160 362779448854233600 919162196913676531200 | +| 58 | Euler:Alt | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 59 | Euler:Alt | RowMax | A065619 | 1 1 2 3 8 25 96 427 2176 12465 79360 555731 4245504 35135945 313155584 2990414715 30460116992 | +| 60 | Euler:Alt | ColMiddle | missing | 1 -1 2 -3 6 -20 40 -175 350 -2016 4032 -28182 56364 -466752 933504 -8912475 17824950 -192924160 | +| 61 | Euler:Alt | CentralE | B343846 | 1 2 6 40 350 4032 56364 933504 17824950 385848320 9334057876 249576198144 7308698191340 | +| 62 | Euler:Alt | CentralO | missing | -1 -3 -20 -175 -2016 -28182 -466752 -8912475 -192924160 -4667028938 -124788099072 -3654349095670 | +| 63 | Euler:Alt | ColLeft | A000111 | 1 -1 1 -2 5 -16 61 -272 1385 -7936 50521 -353792 2702765 -22368256 199360981 -1903757312 | +| 64 | Euler:Alt | BinConv | missing | 1 -2 6 -21 90 -467 2824 -19383 148414 -1251935 11523136 -114837943 1231239108 -14124972773 | +| 65 | Euler:Alt | InvBinConv | missing | 1 0 -2 1 -6 15 0 271 574 5379 12408 63391 -355740 -5907811 -87791964 -971243909 -10733095626 | +| 66 | Euler:Alt | TransNat0 | A231179 | 0 -1 4 -12 36 -120 462 -2058 10472 -59976 381770 -2673374 20422908 -169020852 1506427678 | +| 67 | Euler:Alt | TransNat1 | A000737 | 1 -3 8 -21 60 -197 756 -3367 17136 -98153 624804 -4375283 33424512 -276622829 2465449252 | +| 68 | Euler:Alt | TransSqrs | missing | 0 -1 6 -24 84 -300 1182 -5292 26936 -154224 981530 -6872844 52503396 -434518656 3872719606 | +| 69 | Euler:Alt | PosHalf | A000834 | 1 -3 9 -35 177 -1123 8569 -76355 777697 -8911683 113466729 -1589173475 24280777617 -401898209443 | +| 70 | Euler:Alt | NegHalf | A343843 | 1 1 1 9 33 241 1761 15929 161473 1853281 23584321 330371049 5047404513 83546832721 1489242229281 | +| 71 | Euler:Alt | DiagRow1 | A000027 | -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 16 -17 18 -19 20 -21 22 -23 24 -25 26 -27 28 -29 30 -31 | +| 72 | Euler:Alt | DiagRow2 | A025731 | 1 -3 6 -10 15 -21 28 -36 45 -55 66 -78 91 -105 120 -136 153 -171 190 -210 231 -253 276 -300 325 | +| 73 | Euler:Alt | DiagRow3 | B007290 | -2 8 -20 40 -70 112 -168 240 -330 440 -572 728 -910 1120 -1360 1632 -1938 2280 -2660 3080 -3542 | +| 74 | Euler:Alt | DiagCol1 | A065619 | -1 2 -3 8 -25 96 -427 2176 -12465 79360 -555731 4245504 -35135945 313155584 -2990414715 30460116992 | +| 75 | Euler:Alt | DiagCol2 | A162171 | 1 -3 6 -20 75 -336 1708 -9792 62325 -436480 3334386 -27595776 245951615 -2348666880 23923317720 | +| 76 | Euler:Alt | DiagCol3 | missing | -1 4 -10 40 -175 896 -5124 32640 -228525 1745920 -14449006 128780288 -1229758075 12526223360 | +| 77 | Euler:Alt | Poly | missing | 1 -1 1 1 -2 1 -2 4 -3 1 5 -9 9 -4 1 -16 24 -28 16 -5 1 61 -77 93 -65 25 -6 1 -272 294 -338 272 -126 | +| 78 | Euler:Alt | PolyRow1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | +| 79 | Euler:Alt | PolyRow2 | A162395 | 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 | +| 80 | Euler:Alt | PolyRow3 | A034126 | -2 -9 -28 -65 -126 -217 -344 -513 -730 -1001 -1332 -1729 -2198 -2745 -3376 -4097 -4914 -5833 -6860 | +| 81 | Euler:Alt | PolyCol2 | A000752 | 1 -3 9 -28 93 -338 1369 -6238 31993 -183618 1169229 -8187598 62545893 -517622498 4613366689 | +| 82 | Euler:Alt | PolyCol3 | A307878 | 1 -4 16 -65 272 -1189 5506 -27365 147512 -868129 5589646 -39309965 300724652 -2489776969 | +| 83 | Euler:Alt | PolyDiag | A292976 | 1 -2 9 -65 645 -8141 124729 -2247853 46584937 -1091386465 28521016621 -822514469149 25946988879053 | +| 84 | Euler:Rev | Triangle | A363394 | 1 1 -1 1 -2 1 1 -3 3 -2 1 -4 6 -8 5 1 -5 10 -20 25 -16 1 -6 15 -40 75 -96 61 1 -7 21 -70 175 -336 | +| 85 | Euler:Rev | InvRev | A109449 | 1 1 1 1 2 1 2 3 3 1 5 8 6 4 1 16 25 20 10 5 1 61 96 75 40 15 6 1 272 427 336 175 70 21 7 1 1385 | +| 86 | Euler:Rev | Acc | missing | 1 1 0 1 -1 0 1 -2 1 -1 1 -3 3 -5 0 1 -4 6 -14 11 -5 1 -5 10 -30 45 -51 10 1 -6 15 -55 120 -216 211 | +| 87 | Euler:Rev | AccRev | missing | 1 -1 0 1 -1 0 -2 1 -2 -1 5 -3 3 -1 0 -16 9 -11 -1 -6 -5 61 -35 40 0 15 9 10 -272 155 -181 -6 -76 | +| 88 | Euler:Rev | AntiDiag | A011973 | 1 1 1 -1 1 -2 1 -3 1 1 -4 3 1 -5 6 -2 1 -6 10 -8 1 -7 15 -20 5 1 -8 21 -40 25 1 -9 28 -70 75 -16 1 | +| 89 | Euler:Rev | Diffx1 | missing | 1 1 -2 1 -4 3 1 -6 9 -8 1 -8 18 -32 25 1 -10 30 -80 125 -96 1 -12 45 -160 375 -576 427 1 -14 63 | +| 90 | Euler:Rev | RowSum | A062162 | 1 0 0 -1 0 -5 10 -61 280 -1665 10470 -73621 561660 -4650425 41441530 -395757181 4031082640 | +| 91 | Euler:Rev | EvenSum | A003701 | 1 1 2 4 12 36 152 624 3472 18256 126752 814144 6781632 51475776 500231552 4381112064 48656756992 | +| 92 | Euler:Rev | OddSum | A009739 | 0 -1 -2 -5 -12 -41 -142 -685 -3192 -19921 -116282 -887765 -6219972 -56126201 -458790022 -4776869245 | +| 93 | Euler:Rev | AltSum | A000667 | 1 2 4 9 24 77 294 1309 6664 38177 243034 1701909 13001604 107601977 959021574 9157981309 | +| 94 | Euler:Rev | DiagSum | missing | 1 1 0 -1 -1 0 0 -3 -6 -1 9 -6 -58 -35 194 191 -1009 -1728 4600 12209 -24126 -95361 118201 751562 | +| 95 | Euler:Rev | AccSum | A337443 | 1 1 0 -1 -4 -5 -20 9 -208 855 -6180 41549 -321792 2651155 -23664420 225865769 -2301032256 | +| 96 | Euler:Rev | AccRevSum | missing | 1 -1 0 -4 4 -30 100 -558 3008 -19170 131820 -998622 8185032 -72407530 686728900 -6953737846 | +| 97 | Euler:Rev | RowLcm | missing | 1 1 2 6 120 400 146400 8710800 6434377600 718076540160 362779448854233600 919162196913676531200 | +| 98 | Euler:Rev | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 99 | Euler:Rev | RowMax | A065619 | 1 1 2 3 8 25 96 427 2176 12465 79360 555731 4245504 35135945 313155584 2990414715 30460116992 | +| 100 | Euler:Rev | ColMiddle | missing | 1 1 -2 -3 6 10 -40 -70 350 630 -4032 -7392 56364 104676 -933504 -1750320 17824950 33669350 | +| 101 | Euler:Rev | CentralE | B343846 | 1 -2 6 -40 350 -4032 56364 -933504 17824950 -385848320 9334057876 -249576198144 7308698191340 | +| 102 | Euler:Rev | CentralO | missing | 1 -3 10 -70 630 -7392 104676 -1750320 33669350 -733111808 17819565036 -478354379776 14055188829500 | +| 103 | Euler:Rev | ColRight | A000111 | 1 -1 1 -2 5 -16 61 -272 1385 -7936 50521 -353792 2702765 -22368256 199360981 -1903757312 | +| 104 | Euler:Rev | BinConv | missing | 1 0 -2 -1 -6 -15 0 -271 574 -5379 12408 -63391 -355740 5907811 -87791964 971243909 -10733095626 | +| 105 | Euler:Rev | InvBinConv | missing | 1 -2 6 -21 90 -467 2824 -19383 148414 -1251935 11523136 -114837943 1231239108 -14124972773 | +| 106 | Euler:Rev | TransNat0 | missing | 0 -1 0 -3 4 -25 90 -497 2728 -17505 121350 -925001 7623372 -67757105 645287370 -6557980665 | +| 107 | Euler:Rev | TransNat1 | missing | 1 -1 0 -4 4 -30 100 -558 3008 -19170 131820 -998622 8185032 -72407530 686728900 -6953737846 | +| 108 | Euler:Rev | TransSqrs | missing | 0 -1 2 -9 28 -145 690 -4109 25800 -182097 1388550 -11509861 102580476 -979946201 9982622650 | +| 109 | Euler:Rev | PosHalf | A102590 | 1 1 1 0 -3 -14 -39 -130 -263 -1214 -179 -21810 98277 -1021214 8446881 -82814290 836117617 | +| 110 | Euler:Rev | NegHalf | A000752 | 1 -3 9 -28 93 -338 1369 -6238 31993 -183618 1169229 -8187598 62545893 -517622498 4613366689 | +| 111 | Euler:Rev | DiagRow1 | A065619 | 1 -2 3 -8 25 -96 427 -2176 12465 -79360 555731 -4245504 35135945 -313155584 2990414715 -30460116992 | +| 112 | Euler:Rev | DiagRow2 | A162171 | 1 -3 6 -20 75 -336 1708 -9792 62325 -436480 3334386 -27595776 245951615 -2348666880 23923317720 | +| 113 | Euler:Rev | DiagRow3 | missing | 1 -4 10 -40 175 -896 5124 -32640 228525 -1745920 14449006 -128780288 1229758075 -12526223360 | +| 114 | Euler:Rev | DiagCol1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | +| 115 | Euler:Rev | DiagCol2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 116 | Euler:Rev | DiagCol3 | B007290 | -2 -8 -20 -40 -70 -112 -168 -240 -330 -440 -572 -728 -910 -1120 -1360 -1632 -1938 -2280 -2660 -3080 | +| 117 | Euler:Rev | Poly | A128494 | 1 1 1 1 0 1 1 0 -1 1 1 -1 1 -2 1 1 0 -9 4 -3 1 1 -5 33 -35 9 -4 1 1 10 -241 232 -91 16 -5 1 1 -61 | +| 118 | Euler:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 119 | Euler:Rev | PolyRow2 | A174902 | 1 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 | +| 120 | Euler:Rev | PolyRow3 | A005898 | 1 -1 -9 -35 -91 -189 -341 -559 -855 -1241 -1729 -2331 -3059 -3925 -4941 -6119 -7471 -9009 -10745 | +| 121 | Euler:Rev | PolyCol2 | A343843 | 1 -1 1 -9 33 -241 1761 -15929 161473 -1853281 23584321 -330371049 5047404513 -83546832721 | +| 122 | Euler:Rev | PolyCol3 | missing | 1 -2 4 -35 232 -2327 26254 -352775 5381032 -92544227 1767139954 -37127146415 850874177332 | +| 123 | Euler:Rev | PolyDiag | missing | 1 0 1 -35 849 -36649 2188585 -179017579 19092801217 -2582218381193 431768517064401 | +| 124 | Euler:Inv | Triangle | A109449 | 1 1 1 1 2 1 2 3 3 1 5 8 6 4 1 16 25 20 10 5 1 61 96 75 40 15 6 1 272 427 336 175 70 21 7 1 1385 | +| 125 | Euler:Inv | Rev | A363394 | 1 1 1 1 2 1 1 3 3 2 1 4 6 8 5 1 5 10 20 25 16 1 6 15 40 75 96 61 1 7 21 70 175 336 427 272 1 8 28 | +| 126 | Euler:Inv | RevInv | A363394 | 1 1 -1 1 -2 1 1 -3 3 -2 1 -4 6 -8 5 1 -5 10 -20 25 -16 1 -6 15 -40 75 -96 61 1 -7 21 -70 175 -336 | +| 127 | Euler:Inv | Acc | missing | 1 1 2 1 3 4 2 5 8 9 5 13 19 23 24 16 41 61 71 76 77 61 157 232 272 287 293 294 272 699 1035 1210 | +| 128 | Euler:Inv | AccRev | missing | 1 1 2 1 3 4 1 4 7 9 1 5 11 19 24 1 6 16 36 61 77 1 7 22 62 137 233 294 1 8 29 99 274 610 1037 1309 | +| 129 | Euler:Inv | AntiDiag | missing | 1 1 1 1 2 2 5 3 1 16 8 3 61 25 6 1 272 96 20 4 1385 427 75 10 1 7936 2176 336 40 5 50521 12465 1708 | +| 130 | Euler:Inv | Diffx1 | missing | 1 1 2 1 4 3 2 6 9 4 5 16 18 16 5 16 50 60 40 25 6 61 192 225 160 75 36 7 272 854 1008 700 350 126 | +| 131 | Euler:Inv | RowSum | A000667 | 1 2 4 9 24 77 294 1309 6664 38177 243034 1701909 13001604 107601977 959021574 9157981309 | +| 132 | Euler:Inv | EvenSum | A062272 | 1 1 2 5 12 41 152 685 3472 19921 126752 887765 6781632 56126201 500231552 4776869245 48656756992 | +| 133 | Euler:Inv | OddSum | A062161 | 0 1 2 4 12 36 142 624 3192 18256 116282 814144 6219972 51475776 458790022 4381112064 44625674352 | +| 134 | Euler:Inv | AltSum | A062162 | 1 0 0 1 0 5 10 61 280 1665 10470 73621 561660 4650425 41441530 395757181 4031082640 43626778785 | +| 135 | Euler:Inv | DiagSum | A343845 | 1 1 2 4 9 27 93 392 1898 10493 64885 443916 3326317 27085015 238073306 2246348560 22643042325 | +| 136 | Euler:Inv | AccSum | missing | 1 3 8 24 84 342 1596 8414 49504 321794 2291604 17749534 148597944 1337406826 12878895932 | +| 137 | Euler:Inv | AccRevSum | A000737 | 1 3 8 21 60 197 756 3367 17136 98153 624804 4375283 33424512 276622829 2465449252 23543304919 | +| 138 | Euler:Inv | RowLcm | missing | 1 1 2 6 120 400 146400 8710800 6434377600 718076540160 362779448854233600 919162196913676531200 | +| 139 | Euler:Inv | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 140 | Euler:Inv | RowMax | A065619 | 1 1 2 3 8 25 96 427 2176 12465 79360 555731 4245504 35135945 313155584 2990414715 30460116992 | +| 141 | Euler:Inv | ColMiddle | missing | 1 1 2 3 6 20 40 175 350 2016 4032 28182 56364 466752 933504 8912475 17824950 192924160 385848320 | +| 142 | Euler:Inv | CentralE | B343846 | 1 2 6 40 350 4032 56364 933504 17824950 385848320 9334057876 249576198144 7308698191340 | +| 143 | Euler:Inv | CentralO | missing | 1 3 20 175 2016 28182 466752 8912475 192924160 4667028938 124788099072 3654349095670 | +| 144 | Euler:Inv | ColLeft | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 145 | Euler:Inv | BinConv | missing | 1 2 6 21 90 467 2824 19383 148414 1251935 11523136 114837943 1231239108 14124972773 172584011500 | +| 146 | Euler:Inv | InvBinConv | missing | 1 0 -2 -1 -6 -15 0 -271 574 -5379 12408 -63391 -355740 5907811 -87791964 971243909 -10733095626 | +| 147 | Euler:Inv | TransNat0 | A231179 | 0 1 4 12 36 120 462 2058 10472 59976 381770 2673374 20422908 169020852 1506427678 14385323610 | +| 148 | Euler:Inv | TransNat1 | A000737 | 1 3 8 21 60 197 756 3367 17136 98153 624804 4375283 33424512 276622829 2465449252 23543304919 | +| 149 | Euler:Inv | TransSqrs | missing | 0 1 6 24 84 300 1182 5292 26936 154224 981530 6872844 52503396 434518656 3872719606 36981738780 | +| 150 | Euler:Inv | PosHalf | A000834 | 1 3 9 35 177 1123 8569 76355 777697 8911683 113466729 1589173475 24280777617 401898209443 | +| 151 | Euler:Inv | NegHalf | A343843 | 1 -1 1 -9 33 -241 1761 -15929 161473 -1853281 23584321 -330371049 5047404513 -83546832721 | +| 152 | Euler:Inv | DiagRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 153 | Euler:Inv | DiagRow2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 154 | Euler:Inv | DiagRow3 | B007290 | 2 8 20 40 70 112 168 240 330 440 572 728 910 1120 1360 1632 1938 2280 2660 3080 3542 4048 4600 5200 | +| 155 | Euler:Inv | DiagCol1 | A065619 | 1 2 3 8 25 96 427 2176 12465 79360 555731 4245504 35135945 313155584 2990414715 30460116992 | +| 156 | Euler:Inv | DiagCol2 | A162171 | 1 3 6 20 75 336 1708 9792 62325 436480 3334386 27595776 245951615 2348666880 23923317720 | +| 157 | Euler:Inv | DiagCol3 | missing | 1 4 10 40 175 896 5124 32640 228525 1745920 14449006 128780288 1229758075 12526223360 135565467080 | +| 158 | Euler:Inv | Poly | missing | 1 1 1 1 2 1 2 4 3 1 5 9 9 4 1 16 24 28 16 5 1 61 77 93 65 25 6 1 272 294 338 272 126 36 7 1 1385 | +| 159 | Euler:Inv | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 160 | Euler:Inv | PolyRow2 | A162395 | 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 | +| 161 | Euler:Inv | PolyRow3 | A034126 | 2 9 28 65 126 217 344 513 730 1001 1332 1729 2198 2745 3376 4097 4914 5833 6860 8001 9262 10649 | +| 162 | Euler:Inv | PolyCol2 | A000752 | 1 3 9 28 93 338 1369 6238 31993 183618 1169229 8187598 62545893 517622498 4613366689 44054301358 | +| 163 | Euler:Inv | PolyCol3 | A307878 | 1 4 16 65 272 1189 5506 27365 147512 868129 5589646 39309965 300724652 2489776969 22192420786 | +| 164 | Euler:Inv | PolyDiag | A292976 | 1 2 9 65 645 8141 124729 2247853 46584937 1091386465 28521016621 822514469149 25946988879053 | +| 165 | Euler:Inv:Rev | Triangle | A363394 | 1 1 1 1 2 1 1 3 3 2 1 4 6 8 5 1 5 10 20 25 16 1 6 15 40 75 96 61 1 7 21 70 175 336 427 272 1 8 28 | +| 166 | Euler:Inv:Rev | Rev | A109449 | 1 1 1 1 2 1 2 3 3 1 5 8 6 4 1 16 25 20 10 5 1 61 96 75 40 15 6 1 272 427 336 175 70 21 7 1 1385 | +| 167 | Euler:Inv:Rev | InvRev | A109449 | 1 -1 1 1 -2 1 -2 3 -3 1 5 -8 6 -4 1 -16 25 -20 10 -5 1 61 -96 75 -40 15 -6 1 -272 427 -336 175 -70 | +| 168 | Euler:Inv:Rev | Acc | missing | 1 1 2 1 3 4 1 4 7 9 1 5 11 19 24 1 6 16 36 61 77 1 7 22 62 137 233 294 1 8 29 99 274 610 1037 1309 | +| 169 | Euler:Inv:Rev | AccRev | missing | 1 1 2 1 3 4 2 5 8 9 5 13 19 23 24 16 41 61 71 76 77 61 157 232 272 287 293 294 272 699 1035 1210 | +| 170 | Euler:Inv:Rev | AntiDiag | A011973 | 1 1 1 1 1 2 1 3 1 1 4 3 1 5 6 2 1 6 10 8 1 7 15 20 5 1 8 21 40 25 1 9 28 70 75 16 1 10 36 112 175 | +| 171 | Euler:Inv:Rev | Diffx1 | missing | 1 1 2 1 4 3 1 6 9 8 1 8 18 32 25 1 10 30 80 125 96 1 12 45 160 375 576 427 1 14 63 280 875 2016 | +| 172 | Euler:Inv:Rev | RowSum | A000667 | 1 2 4 9 24 77 294 1309 6664 38177 243034 1701909 13001604 107601977 959021574 9157981309 | +| 173 | Euler:Inv:Rev | EvenSum | A003701 | 1 1 2 4 12 36 152 624 3472 18256 126752 814144 6781632 51475776 500231552 4381112064 48656756992 | +| 174 | Euler:Inv:Rev | OddSum | A009739 | 0 1 2 5 12 41 142 685 3192 19921 116282 887765 6219972 56126201 458790022 4776869245 44625674352 | +| 175 | Euler:Inv:Rev | AltSum | A062162 | 1 0 0 -1 0 -5 10 -61 280 -1665 10470 -73621 561660 -4650425 41441530 -395757181 4031082640 | +| 176 | Euler:Inv:Rev | DiagSum | missing | 1 1 2 3 5 8 14 25 48 95 199 430 972 2261 5456 13515 34533 90384 243030 668117 1881192 5406567 | +| 177 | Euler:Inv:Rev | AccSum | A000737 | 1 3 8 21 60 197 756 3367 17136 98153 624804 4375283 33424512 276622829 2465449252 23543304919 | +| 178 | Euler:Inv:Rev | AccRevSum | missing | 1 3 8 24 84 342 1596 8414 49504 321794 2291604 17749534 148597944 1337406826 12878895932 | +| 179 | Euler:Inv:Rev | RowLcm | missing | 1 1 2 6 120 400 146400 8710800 6434377600 718076540160 362779448854233600 919162196913676531200 | +| 180 | Euler:Inv:Rev | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 181 | Euler:Inv:Rev | RowMax | A065619 | 1 1 2 3 8 25 96 427 2176 12465 79360 555731 4245504 35135945 313155584 2990414715 30460116992 | +| 182 | Euler:Inv:Rev | ColMiddle | missing | 1 1 2 3 6 10 40 70 350 630 4032 7392 56364 104676 933504 1750320 17824950 33669350 385848320 | +| 183 | Euler:Inv:Rev | CentralE | B343846 | 1 2 6 40 350 4032 56364 933504 17824950 385848320 9334057876 249576198144 7308698191340 | +| 184 | Euler:Inv:Rev | CentralO | missing | 1 3 10 70 630 7392 104676 1750320 33669350 733111808 17819565036 478354379776 14055188829500 | +| 185 | Euler:Inv:Rev | ColRight | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 186 | Euler:Inv:Rev | BinConv | missing | 1 2 6 21 90 467 2824 19383 148414 1251935 11523136 114837943 1231239108 14124972773 172584011500 | +| 187 | Euler:Inv:Rev | InvBinConv | missing | 1 0 -2 1 -6 15 0 271 574 5379 12408 63391 -355740 -5907811 -87791964 -971243909 -10733095626 | +| 188 | Euler:Inv:Rev | TransNat0 | missing | 0 1 4 15 60 265 1302 7105 42840 283617 2048570 16047625 135596340 1229804849 11919874358 | +| 189 | Euler:Inv:Rev | TransNat1 | missing | 1 3 8 24 84 342 1596 8414 49504 321794 2291604 17749534 148597944 1337406826 12878895932 | +| 190 | Euler:Inv:Rev | TransSqrs | missing | 0 1 6 33 180 1025 6222 40621 285880 2166993 17649530 153989605 1434584580 14224710617 149660973126 | +| 191 | Euler:Inv:Rev | PosHalf | A000752 | 1 3 9 28 93 338 1369 6238 31993 183618 1169229 8187598 62545893 517622498 4613366689 44054301358 | +| 192 | Euler:Inv:Rev | NegHalf | A102590 | 1 -1 1 0 -3 14 -39 130 -263 1214 -179 21810 98277 1021214 8446881 82814290 836117617 9075846014 | +| 193 | Euler:Inv:Rev | DiagRow1 | A065619 | 1 2 3 8 25 96 427 2176 12465 79360 555731 4245504 35135945 313155584 2990414715 30460116992 | +| 194 | Euler:Inv:Rev | DiagRow2 | A162171 | 1 3 6 20 75 336 1708 9792 62325 436480 3334386 27595776 245951615 2348666880 23923317720 | +| 195 | Euler:Inv:Rev | DiagRow3 | missing | 1 4 10 40 175 896 5124 32640 228525 1745920 14449006 128780288 1229758075 12526223360 135565467080 | +| 196 | Euler:Inv:Rev | DiagCol1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 197 | Euler:Inv:Rev | DiagCol2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 198 | Euler:Inv:Rev | DiagCol3 | B007290 | 2 8 20 40 70 112 168 240 330 440 572 728 910 1120 1360 1632 1938 2280 2660 3080 3542 4048 4600 5200 | +| 199 | Euler:Inv:Rev | Poly | A091150 | 1 1 1 1 2 1 1 4 3 1 1 9 9 4 1 1 24 35 16 5 1 1 77 177 91 25 6 1 1 294 1123 688 189 36 7 1 1 1309 | +| 200 | Euler:Inv:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 201 | Euler:Inv:Rev | PolyRow2 | A162395 | 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 | +| 202 | Euler:Inv:Rev | PolyRow3 | A005898 | 1 9 35 91 189 341 559 855 1241 1729 2331 3059 3925 4941 6119 7471 9009 10745 12691 14859 17261 | +| 203 | Euler:Inv:Rev | PolyCol2 | A000834 | 1 3 9 35 177 1123 8569 76355 777697 8911683 113466729 1589173475 24280777617 401898209443 | +| 204 | Euler:Inv:Rev | PolyCol3 | missing | 1 4 16 91 688 6559 75106 1004071 15340408 263683459 5035965646 105797928751 2424709105228 | +| 205 | Euler:Inv:Rev | PolyDiag | missing | 1 2 9 91 1905 68401 3698929 280332235 28278441793 3660827615785 591142123944601 116435201160887159 | \ No newline at end of file diff --git a/data/md/EulerSec.md b/data/md/EulerSec.md index 5156f4d..30286ad 100644 --- a/data/md/EulerSec.md +++ b/data/md/EulerSec.md @@ -39,115 +39,154 @@ | 36 | EulerSec:Std | PolyCol2 | A119880 | 1 2 3 2 -3 2 63 2 -1383 2 50523 2 -2702763 2 199360983 2 -19391512143 2 2404879675443 2 | | 37 | EulerSec:Std | PolyCol3 | A119881 | 1 3 8 18 32 48 128 528 512 -6912 2048 357888 8192 -22351872 32768 1903822848 131072 -209865080832 | | 38 | EulerSec:Std | PolyDiag | A302585 | 1 1 3 18 165 2000 29855 527632 10762857 248811264 6428081979 183537694208 5739195739277 | -| 39 | EulerSec:Rev | Triangle | A081658 | 1 1 0 1 0 -1 1 0 -3 0 1 0 -6 0 5 1 0 -10 0 25 0 1 0 -15 0 75 0 -61 1 0 -21 0 175 0 -427 0 1 0 -28 0 | -| 40 | EulerSec:Rev | InvRev | A110235 | 1 0 1 1 0 1 0 3 0 1 1 0 6 0 1 0 5 0 10 0 1 1 0 15 0 15 0 1 0 7 0 35 0 21 0 1 1 0 28 0 70 0 28 0 1 0 | -| 41 | EulerSec:Rev | Acc | missing | 1 1 1 1 1 0 1 1 -2 -2 1 1 -5 -5 0 1 1 -9 -9 16 16 1 1 -14 -14 61 61 0 1 1 -20 -20 155 155 -272 -272 | -| 42 | EulerSec:Rev | AccRev | missing | 1 0 1 -1 -1 0 0 -3 -3 -2 5 5 -1 -1 0 0 25 25 15 15 16 -61 -61 14 14 -1 -1 0 0 -427 -427 -252 -252 | -| 43 | EulerSec:Rev | AntiDiag | missing | 1 1 1 0 1 0 1 0 -1 1 0 -3 1 0 -6 0 1 0 -10 0 1 0 -15 0 5 1 0 -21 0 25 1 0 -28 0 75 0 1 0 -36 0 175 | -| 44 | EulerSec:Rev | Diffx1 | missing | 1 1 0 1 0 -3 1 0 -9 0 1 0 -18 0 25 1 0 -30 0 125 0 1 0 -45 0 375 0 -427 1 0 -63 0 875 0 -2989 0 1 0 | -| 45 | EulerSec:Rev | RowSum | A009006 | 1 1 0 -2 0 16 0 -272 0 7936 0 -353792 0 22368256 0 -1903757312 0 209865342976 0 -29088885112832 0 | -| 46 | EulerSec:Rev | EvenSum | A009006 | 1 1 0 -2 0 16 0 -272 0 7936 0 -353792 0 22368256 0 -1903757312 0 209865342976 0 -29088885112832 0 | -| 47 | EulerSec:Rev | AltSum | A009006 | 1 1 0 -2 0 16 0 -272 0 7936 0 -353792 0 22368256 0 -1903757312 0 209865342976 0 -29088885112832 0 | -| 48 | EulerSec:Rev | DiagSum | missing | 1 1 1 1 0 -2 -5 -9 -9 5 48 140 245 149 -723 -3551 -9040 -12246 10847 130539 460819 933189 351392 | -| 49 | EulerSec:Rev | AccSum | B009725 | 1 2 2 -2 -8 16 96 -272 -2176 7936 79360 -353792 -4245504 22368256 313155584 -1903757312 | -| 50 | EulerSec:Rev | AccRevSum | missing | 1 1 -2 -8 8 96 -96 -2176 2176 79360 -79360 -4245504 4245504 313155584 -313155584 -30460116992 | -| 51 | EulerSec:Rev | RowLcm | missing | 1 1 1 3 30 50 4575 32025 11827900 21290220 2689008011550 9859696042350 31978129648682517300 | -| 52 | EulerSec:Rev | RowGcd | A155457 | 1 1 1 3 1 5 1 7 1 3 1 11 1 13 1 1 1 17 1 19 1 1 1 23 1 5 1 3 1 29 1 31 | -| 53 | EulerSec:Rev | RowMax | missing | 1 1 1 3 6 25 75 427 1708 12465 62325 555731 3334386 35135945 245951615 2990414715 23923317720 | -| 54 | EulerSec:Rev | ColMiddle | missing | 1 1 0 0 -6 -10 0 0 350 630 0 0 -56364 -104676 0 0 17824950 33669350 0 0 -9334057876 -17819565036 0 | -| 55 | EulerSec:Rev | CentralE | missing | 1 0 -6 0 350 0 -56364 0 17824950 0 -9334057876 0 7308698191340 0 -7997684730384600 0 | -| 56 | EulerSec:Rev | CentralO | missing | 1 0 -10 0 630 0 -104676 0 33669350 0 -17819565036 0 14055188829500 0 -15462190478743560 0 | -| 57 | EulerSec:Rev | ColRight | A122045 | 1 0 -1 0 5 0 -61 0 1385 0 -50521 0 2702765 0 -199360981 0 19391512145 0 -2404879675441 0 | -| 58 | EulerSec:Rev | BinConv | missing | 1 1 0 -8 -30 26 840 2696 -22722 -240146 282480 19114976 71133348 -1558651340 -16495010896 | -| 59 | EulerSec:Rev | InvBinConv | missing | 1 -1 0 8 -30 -26 840 -2696 -22722 240146 282480 -19114976 71133348 1558651340 -16495010896 | -| 60 | EulerSec:Rev | TransNat0 | missing | 0 0 -2 -6 8 80 -96 -1904 2176 71424 -79360 -3891712 4245504 290787328 -313155584 -28556359680 | -| 61 | EulerSec:Rev | TransNat1 | missing | 1 1 -2 -8 8 96 -96 -2176 2176 79360 -79360 -4245504 4245504 313155584 -313155584 -30460116992 | -| 62 | EulerSec:Rev | TransSqrs | missing | 0 0 -4 -12 56 360 -1056 -12656 32640 623232 -1507840 -41935872 97646592 3725043712 -8455200768 | -| 63 | EulerSec:Rev | PosHalf | A119880 | 1 2 3 2 -3 2 63 2 -1383 2 50523 2 -2702763 2 199360983 2 -19391512143 2 2404879675443 2 | -| 64 | EulerSec:Rev | NegHalf | A119880 | 1 -2 3 -2 -3 -2 63 -2 -1383 -2 50523 -2 -2702763 -2 199360983 -2 -19391512143 -2 2404879675443 -2 | -| 65 | EulerSec:Rev | DiagRow1 | missing | 1 0 -3 0 25 0 -427 0 12465 0 -555731 0 35135945 0 -2990414715 0 329655706465 0 -45692713833379 0 | -| 66 | EulerSec:Rev | DiagRow2 | missing | 1 0 -6 0 75 0 -1708 0 62325 0 -3334386 0 245951615 0 -23923317720 0 2966901358185 0 | -| 67 | EulerSec:Rev | DiagRow3 | missing | 1 0 -10 0 175 0 -5124 0 228525 0 -14449006 0 1229758075 0 -135565467080 0 18790375268505 0 | -| 68 | EulerSec:Rev | DiagCol2 | A025731 | -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 -276 | -| 69 | EulerSec:Rev | Poly | missing | 1 1 1 1 1 1 1 0 1 1 1 -2 -3 1 1 1 0 -11 -8 1 1 1 16 57 -26 -15 1 1 1 0 361 352 -47 -24 1 1 1 -272 | -| 70 | EulerSec:Rev | PolyRow2 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | -| 71 | EulerSec:Rev | PolyRow3 | A080663 | 1 -2 -11 -26 -47 -74 -107 -146 -191 -242 -299 -362 -431 -506 -587 -674 -767 -866 -971 -1082 -1199 | -| 72 | EulerSec:Rev | PolyCol2 | A001586 | 1 1 -3 -11 57 361 -2763 -24611 250737 2873041 -36581523 -512343611 7828053417 129570724921 | -| 73 | EulerSec:Rev | PolyCol3 | A000810 | 1 1 -8 -26 352 1936 -38528 -297296 7869952 78098176 -2583554048 -31336418816 1243925143552 | -| 74 | EulerSec:Rev | PolyDiag | missing | 1 1 -3 -26 1185 15376 -2749355 -49816976 22790134017 533858404096 -498990299504499 | -| 75 | EulerSec:Inv | Triangle | A110235 | 1 0 1 1 0 1 0 3 0 1 1 0 6 0 1 0 5 0 10 0 1 1 0 15 0 15 0 1 0 7 0 35 0 21 0 1 1 0 28 0 70 0 28 0 1 0 | -| 76 | EulerSec:Inv | Rev | A141665 | 1 1 0 1 0 1 1 0 3 0 1 0 6 0 1 1 0 10 0 5 0 1 0 15 0 15 0 1 1 0 21 0 35 0 7 0 1 0 28 0 70 0 28 0 1 1 | -| 77 | EulerSec:Inv | RevInv | A081658 | 1 1 0 1 0 -1 1 0 -3 0 1 0 -6 0 5 1 0 -10 0 25 0 1 0 -15 0 75 0 -61 1 0 -21 0 175 0 -427 0 1 0 -28 0 | -| 78 | EulerSec:Inv | Acc | missing | 1 0 1 1 1 2 0 3 3 4 1 1 7 7 8 0 5 5 15 15 16 1 1 16 16 31 31 32 0 7 7 42 42 63 63 64 1 1 29 29 99 | -| 79 | EulerSec:Inv | AccRev | missing | 1 1 1 1 1 2 1 1 4 4 1 1 7 7 8 1 1 11 11 16 16 1 1 16 16 31 31 32 1 1 22 22 57 57 64 64 1 1 29 29 99 | -| 80 | EulerSec:Inv | AntiDiag | missing | 1 0 1 1 0 0 1 3 1 0 0 0 1 5 6 1 0 0 0 0 1 7 15 10 1 0 0 0 0 0 1 9 28 35 15 1 0 0 0 0 0 0 1 11 45 84 | -| 81 | EulerSec:Inv | Diffx1 | missing | 1 0 2 1 0 3 0 6 0 4 1 0 18 0 5 0 10 0 40 0 6 1 0 45 0 75 0 7 0 14 0 140 0 126 0 8 1 0 84 0 350 0 | -| 82 | EulerSec:Inv | RowSum | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 83 | EulerSec:Inv | EvenSum | A199573 | 1 0 2 0 8 0 32 0 128 0 512 0 2048 0 8192 0 32768 0 131072 0 524288 0 2097152 0 8388608 0 33554432 0 | -| 84 | EulerSec:Inv | OddSum | A199572 | 0 1 0 4 0 16 0 64 0 256 0 1024 0 4096 0 16384 0 65536 0 262144 0 1048576 0 4194304 0 16777216 0 | -| 85 | EulerSec:Inv | AltSum | A011782 | 1 -1 2 -4 8 -16 32 -64 128 -256 512 -1024 2048 -4096 8192 -16384 32768 -65536 131072 -262144 524288 | -| 86 | EulerSec:Inv | DiagSum | missing | 1 0 2 0 5 0 13 0 34 0 89 0 233 0 610 0 1597 0 4181 0 10946 0 28657 0 75025 0 196418 0 514229 0 | -| 87 | EulerSec:Inv | AccSum | A087447 | 1 1 4 10 24 56 128 288 640 1408 3072 6656 14336 30720 65536 139264 294912 622592 1310720 2752512 | -| 88 | EulerSec:Inv | AccRevSum | B087447 | 1 2 4 10 24 56 128 288 640 1408 3072 6656 14336 30720 65536 139264 294912 622592 1310720 2752512 | -| 89 | EulerSec:Inv | RowLcm | missing | 1 1 1 3 6 10 15 105 140 252 630 2310 13860 25740 3003 45045 360360 680680 3063060 11639628 5542680 | -| 90 | EulerSec:Inv | RowGcd | missing | 1 1 1 3 6 5 15 7 14 3 15 11 33 13 91 1 2 17 51 19 19 1 11 23 23 5 65 3 3 29 435 31 | -| 91 | EulerSec:Inv | RowMax | A214282 | 1 1 1 3 6 10 15 35 70 126 210 462 924 1716 3003 6435 12870 24310 43758 92378 184756 352716 646646 | -| 92 | EulerSec:Inv | ColMiddle | missing | 1 0 0 3 6 0 0 35 70 0 0 462 924 0 0 6435 12870 0 0 92378 184756 0 0 1352078 2704156 0 0 20058300 | -| 93 | EulerSec:Inv | CentralE | missing | 1 0 6 0 70 0 924 0 12870 0 184756 0 2704156 0 40116600 0 | -| 94 | EulerSec:Inv | CentralO | missing | 0 3 0 35 0 462 0 6435 0 92378 0 1352078 0 20058300 0 300540195 | -| 95 | EulerSec:Inv | ColLeft | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | -| 96 | EulerSec:Inv | BinConv | A119358 | 1 1 2 10 38 126 452 1716 6470 24310 92252 352716 1352540 5200300 20056584 77558760 300546630 | -| 97 | EulerSec:Inv | InvBinConv | A119358 | 1 1 2 10 38 126 452 1716 6470 24310 92252 352716 1352540 5200300 20056584 77558760 300546630 | -| 98 | EulerSec:Inv | TransNat0 | A057711 | 0 1 2 6 16 40 96 224 512 1152 2560 5632 12288 26624 57344 122880 262144 557056 1179648 2490368 | -| 99 | EulerSec:Inv | TransNat1 | B087447 | 1 2 4 10 24 56 128 288 640 1408 3072 6656 14336 30720 65536 139264 294912 622592 1310720 2752512 | -| 100 | EulerSec:Inv | TransSqrs | B080929 | 0 1 4 12 40 120 336 896 2304 5760 14080 33792 79872 186368 430080 983040 2228224 5013504 11206656 | -| 101 | EulerSec:Inv | PosHalf | A046717 | 1 1 5 13 41 121 365 1093 3281 9841 29525 88573 265721 797161 2391485 7174453 21523361 64570081 | -| 102 | EulerSec:Inv | NegHalf | A046717 | 1 1 5 13 41 121 365 1093 3281 9841 29525 88573 265721 797161 2391485 7174453 21523361 64570081 | -| 103 | EulerSec:Inv | DiagRow2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | -| 104 | EulerSec:Inv | DiagCol1 | A193356 | 1 0 3 0 5 0 7 0 9 0 11 0 13 0 15 0 17 0 19 0 21 0 23 0 25 0 27 0 29 0 31 0 | -| 105 | EulerSec:Inv | DiagCol2 | missing | 1 0 6 0 15 0 28 0 45 0 66 0 91 0 120 0 153 0 190 0 231 0 276 0 325 0 378 0 435 0 496 0 | -| 106 | EulerSec:Inv | DiagCol3 | missing | 1 0 10 0 35 0 84 0 165 0 286 0 455 0 680 0 969 0 1330 0 1771 0 2300 0 2925 0 3654 0 4495 0 5456 0 | -| 107 | EulerSec:Inv | Poly | missing | 1 0 1 1 1 1 0 2 2 1 1 4 5 3 1 0 8 14 10 4 1 1 16 41 36 17 5 1 0 32 122 136 76 26 6 1 1 64 365 528 | -| 108 | EulerSec:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 109 | EulerSec:Inv | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 110 | EulerSec:Inv | PolyRow3 | B079908 | 0 4 14 36 76 140 234 364 536 756 1030 1364 1764 2236 2786 3420 4144 4964 5886 6916 8060 9324 10714 | -| 111 | EulerSec:Inv | PolyCol2 | A007051 | 1 2 5 14 41 122 365 1094 3281 9842 29525 88574 265721 797162 2391485 7174454 21523361 64570082 | -| 112 | EulerSec:Inv | PolyCol3 | A007582 | 1 3 10 36 136 528 2080 8256 32896 131328 524800 2098176 8390656 33558528 134225920 536887296 | -| 113 | EulerSec:Inv | PolyDiag | A062024 | 1 1 5 36 353 4400 66637 1188544 24405761 567108864 14712104501 421504185344 13218256749601 | -| 114 | EulerSec:Inv:Rev | Triangle | A141665 | 1 1 0 1 0 1 1 0 3 0 1 0 6 0 1 1 0 10 0 5 0 1 0 15 0 15 0 1 1 0 21 0 35 0 7 0 1 0 28 0 70 0 28 0 1 1 | -| 115 | EulerSec:Inv:Rev | Rev | A110235 | 1 0 1 1 0 1 0 3 0 1 1 0 6 0 1 0 5 0 10 0 1 1 0 15 0 15 0 1 0 7 0 35 0 21 0 1 1 0 28 0 70 0 28 0 1 0 | -| 116 | EulerSec:Inv:Rev | InvRev | A119879 | 1 0 1 -1 0 1 0 -3 0 1 5 0 -6 0 1 0 25 0 -10 0 1 -61 0 75 0 -15 0 1 0 -427 0 175 0 -21 0 1 1385 0 | -| 117 | EulerSec:Inv:Rev | Acc | missing | 1 1 1 1 1 2 1 1 4 4 1 1 7 7 8 1 1 11 11 16 16 1 1 16 16 31 31 32 1 1 22 22 57 57 64 64 1 1 29 29 99 | -| 118 | EulerSec:Inv:Rev | AccRev | missing | 1 0 1 1 1 2 0 3 3 4 1 1 7 7 8 0 5 5 15 15 16 1 1 16 16 31 31 32 0 7 7 42 42 63 63 64 1 1 29 29 99 | -| 119 | EulerSec:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 0 1 0 1 1 0 3 1 0 6 0 1 0 10 0 1 0 15 0 1 1 0 21 0 5 1 0 28 0 15 0 1 0 36 0 35 0 1 0 45 0 | -| 120 | EulerSec:Inv:Rev | Diffx1 | missing | 1 1 0 1 0 3 1 0 9 0 1 0 18 0 5 1 0 30 0 25 0 1 0 45 0 75 0 7 1 0 63 0 175 0 49 0 1 0 84 0 350 0 196 | -| 121 | EulerSec:Inv:Rev | RowSum | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 122 | EulerSec:Inv:Rev | EvenSum | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 123 | EulerSec:Inv:Rev | AltSum | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 124 | EulerSec:Inv:Rev | DiagSum | A005252 | 1 1 1 1 2 4 7 11 17 27 44 72 117 189 305 493 798 1292 2091 3383 5473 8855 14328 23184 37513 60697 | -| 125 | EulerSec:Inv:Rev | AccSum | B087447 | 1 2 4 10 24 56 128 288 640 1408 3072 6656 14336 30720 65536 139264 294912 622592 1310720 2752512 | -| 126 | EulerSec:Inv:Rev | AccRevSum | A087447 | 1 1 4 10 24 56 128 288 640 1408 3072 6656 14336 30720 65536 139264 294912 622592 1310720 2752512 | -| 127 | EulerSec:Inv:Rev | RowLcm | missing | 1 1 1 3 6 10 15 105 140 252 630 2310 13860 25740 3003 45045 360360 680680 3063060 11639628 5542680 | -| 128 | EulerSec:Inv:Rev | RowGcd | missing | 1 1 1 3 6 5 15 7 14 3 15 11 33 13 91 1 2 17 51 19 19 1 11 23 23 5 65 3 3 29 435 31 | -| 129 | EulerSec:Inv:Rev | RowMax | A214282 | 1 1 1 3 6 10 15 35 70 126 210 462 924 1716 3003 6435 12870 24310 43758 92378 184756 352716 646646 | -| 130 | EulerSec:Inv:Rev | ColMiddle | missing | 1 1 0 0 6 10 0 0 70 126 0 0 924 1716 0 0 12870 24310 0 0 184756 352716 0 0 2704156 5200300 0 0 | -| 131 | EulerSec:Inv:Rev | CentralE | missing | 1 0 6 0 70 0 924 0 12870 0 184756 0 2704156 0 40116600 0 | -| 132 | EulerSec:Inv:Rev | CentralO | missing | 1 0 10 0 126 0 1716 0 24310 0 352716 0 5200300 0 77558760 0 | -| 133 | EulerSec:Inv:Rev | ColRight | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | -| 134 | EulerSec:Inv:Rev | BinConv | A119358 | 1 1 2 10 38 126 452 1716 6470 24310 92252 352716 1352540 5200300 20056584 77558760 300546630 | -| 135 | EulerSec:Inv:Rev | InvBinConv | A119358 | 1 -1 2 -10 38 -126 452 -1716 6470 -24310 92252 -352716 1352540 -5200300 20056584 -77558760 | -| 136 | EulerSec:Inv:Rev | TransNat0 | B057711 | 0 0 2 6 16 40 96 224 512 1152 2560 5632 12288 26624 57344 122880 262144 557056 1179648 2490368 | -| 137 | EulerSec:Inv:Rev | TransNat1 | A087447 | 1 1 4 10 24 56 128 288 640 1408 3072 6656 14336 30720 65536 139264 294912 622592 1310720 2752512 | -| 138 | EulerSec:Inv:Rev | TransSqrs | B080929 | 0 0 4 12 40 120 336 896 2304 5760 14080 33792 79872 186368 430080 983040 2228224 5013504 11206656 | -| 139 | EulerSec:Inv:Rev | PosHalf | A007051 | 1 2 5 14 41 122 365 1094 3281 9842 29525 88574 265721 797162 2391485 7174454 21523361 64570082 | -| 140 | EulerSec:Inv:Rev | NegHalf | A007051 | 1 -2 5 -14 41 -122 365 -1094 3281 -9842 29525 -88574 265721 -797162 2391485 -7174454 21523361 | -| 141 | EulerSec:Inv:Rev | DiagRow1 | A193356 | 1 0 3 0 5 0 7 0 9 0 11 0 13 0 15 0 17 0 19 0 21 0 23 0 25 0 27 0 29 0 31 0 | -| 142 | EulerSec:Inv:Rev | DiagRow2 | missing | 1 0 6 0 15 0 28 0 45 0 66 0 91 0 120 0 153 0 190 0 231 0 276 0 325 0 378 0 435 0 496 0 | -| 143 | EulerSec:Inv:Rev | DiagRow3 | missing | 1 0 10 0 35 0 84 0 165 0 286 0 455 0 680 0 969 0 1330 0 1771 0 2300 0 2925 0 3654 0 4495 0 5456 0 | -| 144 | EulerSec:Inv:Rev | DiagCol2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | -| 145 | EulerSec:Inv:Rev | Poly | missing | 1 1 1 1 1 1 1 2 1 1 1 4 5 1 1 1 8 13 10 1 1 1 16 41 28 17 1 1 1 32 121 136 49 26 1 1 1 64 365 496 | -| 146 | EulerSec:Inv:Rev | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 147 | EulerSec:Inv:Rev | PolyRow3 | A056107 | 1 4 13 28 49 76 109 148 193 244 301 364 433 508 589 676 769 868 973 1084 1201 1324 1453 1588 1729 | -| 148 | EulerSec:Inv:Rev | PolyCol2 | A046717 | 1 1 5 13 41 121 365 1093 3281 9841 29525 88573 265721 797161 2391485 7174453 21523361 64570081 | -| 149 | EulerSec:Inv:Rev | PolyCol3 | A003665 | 1 1 10 28 136 496 2080 8128 32896 130816 524800 2096128 8390656 33550336 134225920 536854528 | -| 150 | EulerSec:Inv:Rev | PolyDiag | A345632 | 1 1 5 28 353 3376 66637 908608 24405761 432891136 14712104501 321504185344 13218256749601 | \ No newline at end of file +| 39 | EulerSec:Alt | Triangle | A119879 | 1 0 -1 -1 0 1 0 3 0 -1 5 0 -6 0 1 0 -25 0 10 0 -1 -61 0 75 0 -15 0 1 0 427 0 -175 0 21 0 -1 1385 0 | +| 40 | EulerSec:Alt | Rev | A081658 | 1 -1 0 1 0 -1 -1 0 3 0 1 0 -6 0 5 -1 0 10 0 -25 0 1 0 -15 0 75 0 -61 -1 0 21 0 -175 0 427 0 1 0 -28 | +| 41 | EulerSec:Alt | Inv | A110235 | 1 0 1 1 0 1 0 -3 0 1 1 0 6 0 1 0 55 0 -10 0 1 1 0 15 0 15 0 1 0 -2107 0 385 0 -21 0 1 1 0 28 0 70 0 | +| 42 | EulerSec:Alt | RevInv | A141665 | 1 1 0 1 0 1 1 0 -3 0 1 0 6 0 1 1 0 -10 0 55 0 1 0 15 0 15 0 1 1 0 -21 0 385 0 -2107 0 1 0 28 0 70 0 | +| 43 | EulerSec:Alt | Acc | missing | 1 0 -1 -1 -1 0 0 3 3 2 5 5 -1 -1 0 0 -25 -25 -15 -15 -16 -61 -61 14 14 -1 -1 0 0 427 427 252 252 | +| 44 | EulerSec:Alt | AccRev | missing | 1 -1 -1 1 1 0 -1 -1 2 2 1 1 -5 -5 0 -1 -1 9 9 -16 -16 1 1 -14 -14 61 61 0 -1 -1 20 20 -155 -155 272 | +| 45 | EulerSec:Alt | AntiDiag | missing | 1 0 -1 -1 0 0 5 3 1 0 0 0 -61 -25 -6 -1 0 0 0 0 1385 427 75 10 1 0 0 0 0 0 -50521 -12465 -1708 -175 | +| 46 | EulerSec:Alt | Diffx1 | missing | 1 0 -2 -1 0 3 0 6 0 -4 5 0 -18 0 5 0 -50 0 40 0 -6 -61 0 225 0 -75 0 7 0 854 0 -700 0 126 0 -8 1385 | +| 47 | EulerSec:Alt | RowSum | A009006 | 1 -1 0 2 0 -16 0 272 0 -7936 0 353792 0 -22368256 0 1903757312 0 -209865342976 0 29088885112832 0 | +| 48 | EulerSec:Alt | OddSum | A350972 | 0 -1 0 2 0 -16 0 272 0 -7936 0 353792 0 -22368256 0 1903757312 0 -209865342976 0 29088885112832 0 | +| 49 | EulerSec:Alt | AltSum | A009006 | 1 1 0 -2 0 16 0 -272 0 7936 0 -353792 0 22368256 0 -1903757312 0 209865342976 0 -29088885112832 0 | +| 50 | EulerSec:Alt | DiagSum | missing | 1 0 -2 0 9 0 -93 0 1898 0 -64885 0 3326317 0 -238073306 0 22643042325 0 -2759740869777 0 | +| 51 | EulerSec:Alt | AccSum | missing | 1 -1 -2 8 8 -96 -96 2176 2176 -79360 -79360 4245504 4245504 -313155584 -313155584 30460116992 | +| 52 | EulerSec:Alt | AccRevSum | B009725 | 1 -2 2 2 -8 -16 96 272 -2176 -7936 79360 353792 -4245504 -22368256 313155584 1903757312 | +| 53 | EulerSec:Alt | RowLcm | missing | 1 1 1 3 30 50 4575 32025 11827900 21290220 2689008011550 9859696042350 31978129648682517300 | +| 54 | EulerSec:Alt | RowGcd | A155457 | 1 1 1 3 1 5 1 7 1 3 1 11 1 13 1 1 1 17 1 19 1 1 1 23 1 5 1 3 1 29 1 31 | +| 55 | EulerSec:Alt | RowMax | missing | 1 1 1 3 6 25 75 427 1708 12465 62325 555731 3334386 35135945 245951615 2990414715 23923317720 | +| 56 | EulerSec:Alt | ColMiddle | missing | 1 0 0 3 -6 0 0 -175 350 0 0 28182 -56364 0 0 -8912475 17824950 0 0 4667028938 -9334057876 0 0 | +| 57 | EulerSec:Alt | CentralE | missing | 1 0 -6 0 350 0 -56364 0 17824950 0 -9334057876 0 7308698191340 0 -7997684730384600 0 | +| 58 | EulerSec:Alt | CentralO | missing | 0 3 0 -175 0 28182 0 -8912475 0 4667028938 0 -3654349095670 0 3998842365192300 0 | +| 59 | EulerSec:Alt | ColLeft | A122045 | 1 0 -1 0 5 0 -61 0 1385 0 -50521 0 2702765 0 -199360981 0 19391512145 0 -2404879675441 0 | +| 60 | EulerSec:Alt | BinConv | missing | 1 -1 0 8 -30 -26 840 -2696 -22722 240146 282480 -19114976 71133348 1558651340 -16495010896 | +| 61 | EulerSec:Alt | InvBinConv | missing | 1 -1 0 8 -30 -26 840 -2696 -22722 240146 282480 -19114976 71133348 1558651340 -16495010896 | +| 62 | EulerSec:Alt | TransNat0 | A109573 | 0 -1 2 0 -8 0 96 0 -2176 0 79360 0 -4245504 0 313155584 0 -30460116992 0 3777576173568 0 | +| 63 | EulerSec:Alt | TransNat1 | B009725 | 1 -2 2 2 -8 -16 96 272 -2176 -7936 79360 353792 -4245504 -22368256 313155584 1903757312 | +| 64 | EulerSec:Alt | TransSqrs | missing | 0 -1 4 -6 -8 40 96 -672 -2176 19584 79360 -872960 -4245504 55191552 313155584 -4697333760 | +| 65 | EulerSec:Alt | PosHalf | A001586 | 1 -1 -3 11 57 -361 -2763 24611 250737 -2873041 -36581523 512343611 7828053417 -129570724921 | +| 66 | EulerSec:Alt | NegHalf | A001586 | 1 -1 -3 11 57 -361 -2763 24611 250737 -2873041 -36581523 512343611 7828053417 -129570724921 | +| 67 | EulerSec:Alt | DiagRow2 | A025731 | -1 3 -6 10 -15 21 -28 36 -45 55 -66 78 -91 105 -120 136 -153 171 -190 210 -231 253 -276 300 -325 | +| 68 | EulerSec:Alt | DiagCol1 | missing | -1 0 3 0 -25 0 427 0 -12465 0 555731 0 -35135945 0 2990414715 0 -329655706465 0 45692713833379 0 | +| 69 | EulerSec:Alt | DiagCol2 | missing | 1 0 -6 0 75 0 -1708 0 62325 0 -3334386 0 245951615 0 -23923317720 0 2966901358185 0 | +| 70 | EulerSec:Alt | DiagCol3 | missing | -1 0 10 0 -175 0 5124 0 -228525 0 14449006 0 -1229758075 0 135565467080 0 -18790375268505 0 | +| 71 | EulerSec:Alt | Poly | A247498 | 1 0 1 -1 -1 1 0 0 -2 1 5 2 3 -3 1 0 0 -2 8 -4 1 -61 -16 -3 -18 15 -5 1 0 0 -2 32 -52 24 -6 1 1385 | +| 72 | EulerSec:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 73 | EulerSec:Alt | PolyRow2 | A131386 | -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 74 | EulerSec:Alt | PolyRow3 | A121670 | 0 2 -2 -18 -52 -110 -198 -322 -488 -702 -970 -1298 -1692 -2158 -2702 -3330 -4048 -4862 -5778 -6802 | +| 75 | EulerSec:Alt | PolyCol2 | A119880 | 1 -2 3 -2 -3 -2 63 -2 -1383 -2 50523 -2 -2702763 -2 199360983 -2 -19391512143 -2 2404879675443 -2 | +| 76 | EulerSec:Alt | PolyCol3 | A119881 | 1 -3 8 -18 32 -48 128 -528 512 6912 2048 -357888 8192 22351872 32768 -1903822848 131072 | +| 77 | EulerSec:Alt | PolyDiag | A302585 | 1 -1 3 -18 165 -2000 29855 -527632 10762857 -248811264 6428081979 -183537694208 5739195739277 | +| 78 | EulerSec:Rev | Triangle | A081658 | 1 1 0 1 0 -1 1 0 -3 0 1 0 -6 0 5 1 0 -10 0 25 0 1 0 -15 0 75 0 -61 1 0 -21 0 175 0 -427 0 1 0 -28 0 | +| 79 | EulerSec:Rev | InvRev | A110235 | 1 0 1 1 0 1 0 3 0 1 1 0 6 0 1 0 5 0 10 0 1 1 0 15 0 15 0 1 0 7 0 35 0 21 0 1 1 0 28 0 70 0 28 0 1 0 | +| 80 | EulerSec:Rev | Acc | missing | 1 1 1 1 1 0 1 1 -2 -2 1 1 -5 -5 0 1 1 -9 -9 16 16 1 1 -14 -14 61 61 0 1 1 -20 -20 155 155 -272 -272 | +| 81 | EulerSec:Rev | AccRev | missing | 1 0 1 -1 -1 0 0 -3 -3 -2 5 5 -1 -1 0 0 25 25 15 15 16 -61 -61 14 14 -1 -1 0 0 -427 -427 -252 -252 | +| 82 | EulerSec:Rev | AntiDiag | missing | 1 1 1 0 1 0 1 0 -1 1 0 -3 1 0 -6 0 1 0 -10 0 1 0 -15 0 5 1 0 -21 0 25 1 0 -28 0 75 0 1 0 -36 0 175 | +| 83 | EulerSec:Rev | Diffx1 | missing | 1 1 0 1 0 -3 1 0 -9 0 1 0 -18 0 25 1 0 -30 0 125 0 1 0 -45 0 375 0 -427 1 0 -63 0 875 0 -2989 0 1 0 | +| 84 | EulerSec:Rev | RowSum | A009006 | 1 1 0 -2 0 16 0 -272 0 7936 0 -353792 0 22368256 0 -1903757312 0 209865342976 0 -29088885112832 0 | +| 85 | EulerSec:Rev | EvenSum | A009006 | 1 1 0 -2 0 16 0 -272 0 7936 0 -353792 0 22368256 0 -1903757312 0 209865342976 0 -29088885112832 0 | +| 86 | EulerSec:Rev | AltSum | A009006 | 1 1 0 -2 0 16 0 -272 0 7936 0 -353792 0 22368256 0 -1903757312 0 209865342976 0 -29088885112832 0 | +| 87 | EulerSec:Rev | DiagSum | missing | 1 1 1 1 0 -2 -5 -9 -9 5 48 140 245 149 -723 -3551 -9040 -12246 10847 130539 460819 933189 351392 | +| 88 | EulerSec:Rev | AccSum | B009725 | 1 2 2 -2 -8 16 96 -272 -2176 7936 79360 -353792 -4245504 22368256 313155584 -1903757312 | +| 89 | EulerSec:Rev | AccRevSum | missing | 1 1 -2 -8 8 96 -96 -2176 2176 79360 -79360 -4245504 4245504 313155584 -313155584 -30460116992 | +| 90 | EulerSec:Rev | RowLcm | missing | 1 1 1 3 30 50 4575 32025 11827900 21290220 2689008011550 9859696042350 31978129648682517300 | +| 91 | EulerSec:Rev | RowGcd | A155457 | 1 1 1 3 1 5 1 7 1 3 1 11 1 13 1 1 1 17 1 19 1 1 1 23 1 5 1 3 1 29 1 31 | +| 92 | EulerSec:Rev | RowMax | missing | 1 1 1 3 6 25 75 427 1708 12465 62325 555731 3334386 35135945 245951615 2990414715 23923317720 | +| 93 | EulerSec:Rev | ColMiddle | missing | 1 1 0 0 -6 -10 0 0 350 630 0 0 -56364 -104676 0 0 17824950 33669350 0 0 -9334057876 -17819565036 0 | +| 94 | EulerSec:Rev | CentralE | missing | 1 0 -6 0 350 0 -56364 0 17824950 0 -9334057876 0 7308698191340 0 -7997684730384600 0 | +| 95 | EulerSec:Rev | CentralO | missing | 1 0 -10 0 630 0 -104676 0 33669350 0 -17819565036 0 14055188829500 0 -15462190478743560 0 | +| 96 | EulerSec:Rev | ColRight | A122045 | 1 0 -1 0 5 0 -61 0 1385 0 -50521 0 2702765 0 -199360981 0 19391512145 0 -2404879675441 0 | +| 97 | EulerSec:Rev | BinConv | missing | 1 1 0 -8 -30 26 840 2696 -22722 -240146 282480 19114976 71133348 -1558651340 -16495010896 | +| 98 | EulerSec:Rev | InvBinConv | missing | 1 -1 0 8 -30 -26 840 -2696 -22722 240146 282480 -19114976 71133348 1558651340 -16495010896 | +| 99 | EulerSec:Rev | TransNat0 | missing | 0 0 -2 -6 8 80 -96 -1904 2176 71424 -79360 -3891712 4245504 290787328 -313155584 -28556359680 | +| 100 | EulerSec:Rev | TransNat1 | missing | 1 1 -2 -8 8 96 -96 -2176 2176 79360 -79360 -4245504 4245504 313155584 -313155584 -30460116992 | +| 101 | EulerSec:Rev | TransSqrs | missing | 0 0 -4 -12 56 360 -1056 -12656 32640 623232 -1507840 -41935872 97646592 3725043712 -8455200768 | +| 102 | EulerSec:Rev | PosHalf | A119880 | 1 2 3 2 -3 2 63 2 -1383 2 50523 2 -2702763 2 199360983 2 -19391512143 2 2404879675443 2 | +| 103 | EulerSec:Rev | NegHalf | A119880 | 1 -2 3 -2 -3 -2 63 -2 -1383 -2 50523 -2 -2702763 -2 199360983 -2 -19391512143 -2 2404879675443 -2 | +| 104 | EulerSec:Rev | DiagRow1 | missing | 1 0 -3 0 25 0 -427 0 12465 0 -555731 0 35135945 0 -2990414715 0 329655706465 0 -45692713833379 0 | +| 105 | EulerSec:Rev | DiagRow2 | missing | 1 0 -6 0 75 0 -1708 0 62325 0 -3334386 0 245951615 0 -23923317720 0 2966901358185 0 | +| 106 | EulerSec:Rev | DiagRow3 | missing | 1 0 -10 0 175 0 -5124 0 228525 0 -14449006 0 1229758075 0 -135565467080 0 18790375268505 0 | +| 107 | EulerSec:Rev | DiagCol2 | A025731 | -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 -276 | +| 108 | EulerSec:Rev | Poly | missing | 1 1 1 1 1 1 1 0 1 1 1 -2 -3 1 1 1 0 -11 -8 1 1 1 16 57 -26 -15 1 1 1 0 361 352 -47 -24 1 1 1 -272 | +| 109 | EulerSec:Rev | PolyRow2 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | +| 110 | EulerSec:Rev | PolyRow3 | A080663 | 1 -2 -11 -26 -47 -74 -107 -146 -191 -242 -299 -362 -431 -506 -587 -674 -767 -866 -971 -1082 -1199 | +| 111 | EulerSec:Rev | PolyCol2 | A001586 | 1 1 -3 -11 57 361 -2763 -24611 250737 2873041 -36581523 -512343611 7828053417 129570724921 | +| 112 | EulerSec:Rev | PolyCol3 | A000810 | 1 1 -8 -26 352 1936 -38528 -297296 7869952 78098176 -2583554048 -31336418816 1243925143552 | +| 113 | EulerSec:Rev | PolyDiag | missing | 1 1 -3 -26 1185 15376 -2749355 -49816976 22790134017 533858404096 -498990299504499 | +| 114 | EulerSec:Inv | Triangle | A110235 | 1 0 1 1 0 1 0 3 0 1 1 0 6 0 1 0 5 0 10 0 1 1 0 15 0 15 0 1 0 7 0 35 0 21 0 1 1 0 28 0 70 0 28 0 1 0 | +| 115 | EulerSec:Inv | Rev | A141665 | 1 1 0 1 0 1 1 0 3 0 1 0 6 0 1 1 0 10 0 5 0 1 0 15 0 15 0 1 1 0 21 0 35 0 7 0 1 0 28 0 70 0 28 0 1 1 | +| 116 | EulerSec:Inv | RevInv | A081658 | 1 1 0 1 0 -1 1 0 -3 0 1 0 -6 0 5 1 0 -10 0 25 0 1 0 -15 0 75 0 -61 1 0 -21 0 175 0 -427 0 1 0 -28 0 | +| 117 | EulerSec:Inv | Acc | missing | 1 0 1 1 1 2 0 3 3 4 1 1 7 7 8 0 5 5 15 15 16 1 1 16 16 31 31 32 0 7 7 42 42 63 63 64 1 1 29 29 99 | +| 118 | EulerSec:Inv | AccRev | missing | 1 1 1 1 1 2 1 1 4 4 1 1 7 7 8 1 1 11 11 16 16 1 1 16 16 31 31 32 1 1 22 22 57 57 64 64 1 1 29 29 99 | +| 119 | EulerSec:Inv | AntiDiag | missing | 1 0 1 1 0 0 1 3 1 0 0 0 1 5 6 1 0 0 0 0 1 7 15 10 1 0 0 0 0 0 1 9 28 35 15 1 0 0 0 0 0 0 1 11 45 84 | +| 120 | EulerSec:Inv | Diffx1 | missing | 1 0 2 1 0 3 0 6 0 4 1 0 18 0 5 0 10 0 40 0 6 1 0 45 0 75 0 7 0 14 0 140 0 126 0 8 1 0 84 0 350 0 | +| 121 | EulerSec:Inv | RowSum | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 122 | EulerSec:Inv | EvenSum | A199573 | 1 0 2 0 8 0 32 0 128 0 512 0 2048 0 8192 0 32768 0 131072 0 524288 0 2097152 0 8388608 0 33554432 0 | +| 123 | EulerSec:Inv | OddSum | A199572 | 0 1 0 4 0 16 0 64 0 256 0 1024 0 4096 0 16384 0 65536 0 262144 0 1048576 0 4194304 0 16777216 0 | +| 124 | EulerSec:Inv | AltSum | A011782 | 1 -1 2 -4 8 -16 32 -64 128 -256 512 -1024 2048 -4096 8192 -16384 32768 -65536 131072 -262144 524288 | +| 125 | EulerSec:Inv | DiagSum | missing | 1 0 2 0 5 0 13 0 34 0 89 0 233 0 610 0 1597 0 4181 0 10946 0 28657 0 75025 0 196418 0 514229 0 | +| 126 | EulerSec:Inv | AccSum | A087447 | 1 1 4 10 24 56 128 288 640 1408 3072 6656 14336 30720 65536 139264 294912 622592 1310720 2752512 | +| 127 | EulerSec:Inv | AccRevSum | B087447 | 1 2 4 10 24 56 128 288 640 1408 3072 6656 14336 30720 65536 139264 294912 622592 1310720 2752512 | +| 128 | EulerSec:Inv | RowLcm | missing | 1 1 1 3 6 10 15 105 140 252 630 2310 13860 25740 3003 45045 360360 680680 3063060 11639628 5542680 | +| 129 | EulerSec:Inv | RowGcd | missing | 1 1 1 3 6 5 15 7 14 3 15 11 33 13 91 1 2 17 51 19 19 1 11 23 23 5 65 3 3 29 435 31 | +| 130 | EulerSec:Inv | RowMax | A214282 | 1 1 1 3 6 10 15 35 70 126 210 462 924 1716 3003 6435 12870 24310 43758 92378 184756 352716 646646 | +| 131 | EulerSec:Inv | ColMiddle | missing | 1 0 0 3 6 0 0 35 70 0 0 462 924 0 0 6435 12870 0 0 92378 184756 0 0 1352078 2704156 0 0 20058300 | +| 132 | EulerSec:Inv | CentralE | missing | 1 0 6 0 70 0 924 0 12870 0 184756 0 2704156 0 40116600 0 | +| 133 | EulerSec:Inv | CentralO | missing | 0 3 0 35 0 462 0 6435 0 92378 0 1352078 0 20058300 0 300540195 | +| 134 | EulerSec:Inv | ColLeft | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | +| 135 | EulerSec:Inv | BinConv | A119358 | 1 1 2 10 38 126 452 1716 6470 24310 92252 352716 1352540 5200300 20056584 77558760 300546630 | +| 136 | EulerSec:Inv | InvBinConv | A119358 | 1 1 2 10 38 126 452 1716 6470 24310 92252 352716 1352540 5200300 20056584 77558760 300546630 | +| 137 | EulerSec:Inv | TransNat0 | A057711 | 0 1 2 6 16 40 96 224 512 1152 2560 5632 12288 26624 57344 122880 262144 557056 1179648 2490368 | +| 138 | EulerSec:Inv | TransNat1 | B087447 | 1 2 4 10 24 56 128 288 640 1408 3072 6656 14336 30720 65536 139264 294912 622592 1310720 2752512 | +| 139 | EulerSec:Inv | TransSqrs | B080929 | 0 1 4 12 40 120 336 896 2304 5760 14080 33792 79872 186368 430080 983040 2228224 5013504 11206656 | +| 140 | EulerSec:Inv | PosHalf | A046717 | 1 1 5 13 41 121 365 1093 3281 9841 29525 88573 265721 797161 2391485 7174453 21523361 64570081 | +| 141 | EulerSec:Inv | NegHalf | A046717 | 1 1 5 13 41 121 365 1093 3281 9841 29525 88573 265721 797161 2391485 7174453 21523361 64570081 | +| 142 | EulerSec:Inv | DiagRow2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 143 | EulerSec:Inv | DiagCol1 | A193356 | 1 0 3 0 5 0 7 0 9 0 11 0 13 0 15 0 17 0 19 0 21 0 23 0 25 0 27 0 29 0 31 0 | +| 144 | EulerSec:Inv | DiagCol2 | missing | 1 0 6 0 15 0 28 0 45 0 66 0 91 0 120 0 153 0 190 0 231 0 276 0 325 0 378 0 435 0 496 0 | +| 145 | EulerSec:Inv | DiagCol3 | missing | 1 0 10 0 35 0 84 0 165 0 286 0 455 0 680 0 969 0 1330 0 1771 0 2300 0 2925 0 3654 0 4495 0 5456 0 | +| 146 | EulerSec:Inv | Poly | missing | 1 0 1 1 1 1 0 2 2 1 1 4 5 3 1 0 8 14 10 4 1 1 16 41 36 17 5 1 0 32 122 136 76 26 6 1 1 64 365 528 | +| 147 | EulerSec:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 148 | EulerSec:Inv | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 149 | EulerSec:Inv | PolyRow3 | B079908 | 0 4 14 36 76 140 234 364 536 756 1030 1364 1764 2236 2786 3420 4144 4964 5886 6916 8060 9324 10714 | +| 150 | EulerSec:Inv | PolyCol2 | A007051 | 1 2 5 14 41 122 365 1094 3281 9842 29525 88574 265721 797162 2391485 7174454 21523361 64570082 | +| 151 | EulerSec:Inv | PolyCol3 | A007582 | 1 3 10 36 136 528 2080 8256 32896 131328 524800 2098176 8390656 33558528 134225920 536887296 | +| 152 | EulerSec:Inv | PolyDiag | A062024 | 1 1 5 36 353 4400 66637 1188544 24405761 567108864 14712104501 421504185344 13218256749601 | +| 153 | EulerSec:Inv:Rev | Triangle | A141665 | 1 1 0 1 0 1 1 0 3 0 1 0 6 0 1 1 0 10 0 5 0 1 0 15 0 15 0 1 1 0 21 0 35 0 7 0 1 0 28 0 70 0 28 0 1 1 | +| 154 | EulerSec:Inv:Rev | Rev | A110235 | 1 0 1 1 0 1 0 3 0 1 1 0 6 0 1 0 5 0 10 0 1 1 0 15 0 15 0 1 0 7 0 35 0 21 0 1 1 0 28 0 70 0 28 0 1 0 | +| 155 | EulerSec:Inv:Rev | InvRev | A119879 | 1 0 1 -1 0 1 0 -3 0 1 5 0 -6 0 1 0 25 0 -10 0 1 -61 0 75 0 -15 0 1 0 -427 0 175 0 -21 0 1 1385 0 | +| 156 | EulerSec:Inv:Rev | Acc | missing | 1 1 1 1 1 2 1 1 4 4 1 1 7 7 8 1 1 11 11 16 16 1 1 16 16 31 31 32 1 1 22 22 57 57 64 64 1 1 29 29 99 | +| 157 | EulerSec:Inv:Rev | AccRev | missing | 1 0 1 1 1 2 0 3 3 4 1 1 7 7 8 0 5 5 15 15 16 1 1 16 16 31 31 32 0 7 7 42 42 63 63 64 1 1 29 29 99 | +| 158 | EulerSec:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 0 1 0 1 1 0 3 1 0 6 0 1 0 10 0 1 0 15 0 1 1 0 21 0 5 1 0 28 0 15 0 1 0 36 0 35 0 1 0 45 0 | +| 159 | EulerSec:Inv:Rev | Diffx1 | missing | 1 1 0 1 0 3 1 0 9 0 1 0 18 0 5 1 0 30 0 25 0 1 0 45 0 75 0 7 1 0 63 0 175 0 49 0 1 0 84 0 350 0 196 | +| 160 | EulerSec:Inv:Rev | RowSum | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 161 | EulerSec:Inv:Rev | EvenSum | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 162 | EulerSec:Inv:Rev | AltSum | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 163 | EulerSec:Inv:Rev | DiagSum | A005252 | 1 1 1 1 2 4 7 11 17 27 44 72 117 189 305 493 798 1292 2091 3383 5473 8855 14328 23184 37513 60697 | +| 164 | EulerSec:Inv:Rev | AccSum | B087447 | 1 2 4 10 24 56 128 288 640 1408 3072 6656 14336 30720 65536 139264 294912 622592 1310720 2752512 | +| 165 | EulerSec:Inv:Rev | AccRevSum | A087447 | 1 1 4 10 24 56 128 288 640 1408 3072 6656 14336 30720 65536 139264 294912 622592 1310720 2752512 | +| 166 | EulerSec:Inv:Rev | RowLcm | missing | 1 1 1 3 6 10 15 105 140 252 630 2310 13860 25740 3003 45045 360360 680680 3063060 11639628 5542680 | +| 167 | EulerSec:Inv:Rev | RowGcd | missing | 1 1 1 3 6 5 15 7 14 3 15 11 33 13 91 1 2 17 51 19 19 1 11 23 23 5 65 3 3 29 435 31 | +| 168 | EulerSec:Inv:Rev | RowMax | A214282 | 1 1 1 3 6 10 15 35 70 126 210 462 924 1716 3003 6435 12870 24310 43758 92378 184756 352716 646646 | +| 169 | EulerSec:Inv:Rev | ColMiddle | missing | 1 1 0 0 6 10 0 0 70 126 0 0 924 1716 0 0 12870 24310 0 0 184756 352716 0 0 2704156 5200300 0 0 | +| 170 | EulerSec:Inv:Rev | CentralE | missing | 1 0 6 0 70 0 924 0 12870 0 184756 0 2704156 0 40116600 0 | +| 171 | EulerSec:Inv:Rev | CentralO | missing | 1 0 10 0 126 0 1716 0 24310 0 352716 0 5200300 0 77558760 0 | +| 172 | EulerSec:Inv:Rev | ColRight | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | +| 173 | EulerSec:Inv:Rev | BinConv | A119358 | 1 1 2 10 38 126 452 1716 6470 24310 92252 352716 1352540 5200300 20056584 77558760 300546630 | +| 174 | EulerSec:Inv:Rev | InvBinConv | A119358 | 1 -1 2 -10 38 -126 452 -1716 6470 -24310 92252 -352716 1352540 -5200300 20056584 -77558760 | +| 175 | EulerSec:Inv:Rev | TransNat0 | B057711 | 0 0 2 6 16 40 96 224 512 1152 2560 5632 12288 26624 57344 122880 262144 557056 1179648 2490368 | +| 176 | EulerSec:Inv:Rev | TransNat1 | A087447 | 1 1 4 10 24 56 128 288 640 1408 3072 6656 14336 30720 65536 139264 294912 622592 1310720 2752512 | +| 177 | EulerSec:Inv:Rev | TransSqrs | B080929 | 0 0 4 12 40 120 336 896 2304 5760 14080 33792 79872 186368 430080 983040 2228224 5013504 11206656 | +| 178 | EulerSec:Inv:Rev | PosHalf | A007051 | 1 2 5 14 41 122 365 1094 3281 9842 29525 88574 265721 797162 2391485 7174454 21523361 64570082 | +| 179 | EulerSec:Inv:Rev | NegHalf | A007051 | 1 -2 5 -14 41 -122 365 -1094 3281 -9842 29525 -88574 265721 -797162 2391485 -7174454 21523361 | +| 180 | EulerSec:Inv:Rev | DiagRow1 | A193356 | 1 0 3 0 5 0 7 0 9 0 11 0 13 0 15 0 17 0 19 0 21 0 23 0 25 0 27 0 29 0 31 0 | +| 181 | EulerSec:Inv:Rev | DiagRow2 | missing | 1 0 6 0 15 0 28 0 45 0 66 0 91 0 120 0 153 0 190 0 231 0 276 0 325 0 378 0 435 0 496 0 | +| 182 | EulerSec:Inv:Rev | DiagRow3 | missing | 1 0 10 0 35 0 84 0 165 0 286 0 455 0 680 0 969 0 1330 0 1771 0 2300 0 2925 0 3654 0 4495 0 5456 0 | +| 183 | EulerSec:Inv:Rev | DiagCol2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 184 | EulerSec:Inv:Rev | Poly | missing | 1 1 1 1 1 1 1 2 1 1 1 4 5 1 1 1 8 13 10 1 1 1 16 41 28 17 1 1 1 32 121 136 49 26 1 1 1 64 365 496 | +| 185 | EulerSec:Inv:Rev | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 186 | EulerSec:Inv:Rev | PolyRow3 | A056107 | 1 4 13 28 49 76 109 148 193 244 301 364 433 508 589 676 769 868 973 1084 1201 1324 1453 1588 1729 | +| 187 | EulerSec:Inv:Rev | PolyCol2 | A046717 | 1 1 5 13 41 121 365 1093 3281 9841 29525 88573 265721 797161 2391485 7174453 21523361 64570081 | +| 188 | EulerSec:Inv:Rev | PolyCol3 | A003665 | 1 1 10 28 136 496 2080 8128 32896 130816 524800 2096128 8390656 33550336 134225920 536854528 | +| 189 | EulerSec:Inv:Rev | PolyDiag | A345632 | 1 1 5 28 353 3376 66637 908608 24405761 432891136 14712104501 321504185344 13218256749601 | \ No newline at end of file diff --git a/data/md/EulerTan.md b/data/md/EulerTan.md index be94470..298d367 100644 --- a/data/md/EulerTan.md +++ b/data/md/EulerTan.md @@ -1,77 +1,115 @@ -| | triangle | trait | anum | seq | -|---:|:-------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | EulerTan:Std | Triangle | A162660 | 0 1 0 0 2 0 -2 0 3 0 0 -8 0 4 0 16 0 -20 0 5 0 0 96 0 -40 0 6 0 -272 0 336 0 -70 0 7 0 0 -2176 0 | -| 1 | EulerTan:Std | Rev | missing | 0 0 1 0 2 0 0 3 0 -2 0 4 0 -8 0 0 5 0 -20 0 16 0 6 0 -40 0 96 0 0 7 0 -70 0 336 0 -272 0 8 0 -112 0 | -| 2 | EulerTan:Std | Acc | missing | 0 1 1 0 2 2 -2 -2 1 1 0 -8 -8 -4 -4 16 16 -4 -4 1 1 0 96 96 56 56 62 62 -272 -272 64 64 -6 -6 1 1 0 | -| 3 | EulerTan:Std | AccRev | missing | 0 0 1 0 2 2 0 3 3 1 0 4 4 -4 -4 0 5 5 -15 -15 1 0 6 6 -34 -34 62 62 0 7 7 -63 -63 273 273 1 0 8 8 | -| 4 | EulerTan:Std | AntiDiag | missing | 0 1 0 0 -2 2 0 0 0 16 -8 3 0 0 0 0 -272 96 -20 4 0 0 0 0 0 7936 -2176 336 -40 5 0 0 0 0 0 0 -353792 | -| 5 | EulerTan:Std | Diffx1 | missing | 0 1 0 0 4 0 -2 0 9 0 0 -16 0 16 0 16 0 -60 0 25 0 0 192 0 -160 0 36 0 -272 0 1008 0 -350 0 49 0 0 | -| 6 | EulerTan:Std | RowSum | A009832 | 0 1 2 1 -4 1 62 1 -1384 1 50522 1 -2702764 1 199360982 1 -19391512144 1 2404879675442 1 | -| 7 | EulerTan:Std | EvenSum | A000035 | 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 | -| 8 | EulerTan:Std | OddSum | missing | 0 0 2 0 -4 0 62 0 -1384 0 50522 0 -2702764 0 199360982 0 -19391512144 0 2404879675442 0 | -| 9 | EulerTan:Std | AltSum | A009832 | 0 1 -2 1 4 1 -62 1 1384 1 -50522 1 2702764 1 -199360982 1 19391512144 1 -2404879675442 1 | -| 10 | EulerTan:Std | DiagSum | missing | 0 1 0 0 0 11 0 -192 0 6061 0 -283392 0 18528503 0 -1616537472 0 181630578553 0 -25558161202944 0 | -| 11 | EulerTan:Std | AccSum | missing | 0 2 4 -2 -24 26 428 -426 -12464 12466 555732 -555730 -35135944 35135946 2990414716 -2990414714 | -| 12 | EulerTan:Std | AccRevSum | missing | 0 1 4 7 0 -19 68 435 -1376 -12455 50532 555743 -2702752 -35135931 199360996 2990414731 -19391512128 | -| 13 | EulerTan:Std | RowLcm | missing | 1 1 2 6 8 80 480 28560 15232 8499456 84994560 215347883520 369167800320 52416659296235520 | -| 14 | EulerTan:Std | RowGcd | A003484 | 1 1 2 1 4 1 2 1 8 1 2 1 4 1 2 1 16 1 2 1 4 1 2 1 8 1 2 1 4 1 2 1 | -| 15 | EulerTan:Std | RowMax | missing | 0 1 2 3 8 20 96 336 2176 9792 79360 436480 4245504 27595776 313155584 2348666880 30460116992 | -| 16 | EulerTan:Std | ColMiddle | missing | 0 1 2 0 0 -20 -40 0 0 2016 4032 0 0 -466752 -933504 0 0 192924160 385848320 0 0 -124788099072 | -| 17 | EulerTan:Std | CentralE | B214447 | 0 2 0 -40 0 4032 0 -933504 0 385848320 0 -249576198144 0 232643283353600 0 -295306112919306240 | -| 18 | EulerTan:Std | CentralO | missing | 1 0 -20 0 2016 0 -466752 0 192924160 0 -124788099072 0 116321641676800 0 -147653056459653120 0 | -| 19 | EulerTan:Std | ColLeft | A350972 | 0 1 0 -2 0 16 0 -272 0 7936 0 -353792 0 22368256 0 -1903757312 0 209865342976 0 -29088885112832 0 | -| 20 | EulerTan:Std | BinConv | missing | 0 1 4 7 -16 -159 -188 4383 26560 -104591 -2135836 -2607417 172480112 1152371377 -13824249372 | -| 21 | EulerTan:Std | InvBinConv | missing | 0 -1 -4 -7 16 159 188 -4383 -26560 104591 2135836 2607417 -172480112 -1152371377 13824249372 | -| 22 | EulerTan:Std | TransNat0 | missing | 0 0 2 6 4 -20 6 434 8 -12456 10 555742 12 -35135932 14 2990414730 16 -329655706448 18 | -| 23 | EulerTan:Std | TransNat1 | missing | 0 1 4 7 0 -19 68 435 -1376 -12455 50532 555743 -2702752 -35135931 199360996 2990414731 -19391512128 | -| 24 | EulerTan:Std | TransSqrs | missing | 0 0 2 12 28 0 -114 476 3480 -12384 -124550 555852 6668916 -35135776 -491903034 2990414940 | -| 25 | EulerTan:Std | PosHalf | A326325 | 0 2 4 -10 -56 362 2764 -24610 -250736 2873042 36581524 -512343610 -7828053416 129570724922 | -| 26 | EulerTan:Std | NegHalf | A326325 | 0 -2 -4 10 56 -362 -2764 24610 250736 -2873042 -36581524 512343610 7828053416 -129570724922 | -| 27 | EulerTan:Std | DiagRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 28 | EulerTan:Std | DiagRow3 | B007290 | -2 -8 -20 -40 -70 -112 -168 -240 -330 -440 -572 -728 -910 -1120 -1360 -1632 -1938 -2280 -2660 -3080 | -| 29 | EulerTan:Std | DiagCol1 | B109573 | 0 2 0 -8 0 96 0 -2176 0 79360 0 -4245504 0 313155584 0 -30460116992 0 3777576173568 0 | -| 30 | EulerTan:Std | DiagCol2 | missing | 0 3 0 -20 0 336 0 -9792 0 436480 0 -27595776 0 2348666880 0 -258910994432 0 35886973648896 0 | -| 31 | EulerTan:Std | DiagCol3 | missing | 0 4 0 -40 0 896 0 -32640 0 1745920 0 -128780288 0 12526223360 0 -1553465966592 0 239246490992640 0 | -| 32 | EulerTan:Std | Poly | missing | 0 1 0 0 1 0 -2 2 1 0 0 1 4 1 0 16 -4 10 6 1 0 0 1 16 25 8 1 0 -272 62 16 84 46 10 1 0 0 1 64 241 | -| 33 | EulerTan:Std | PolyRow2 | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 | -| 34 | EulerTan:Std | PolyRow3 | A100536 | -2 1 10 25 46 73 106 145 190 241 298 361 430 505 586 673 766 865 970 1081 1198 1321 1450 1585 1726 | -| 35 | EulerTan:Std | PolyCol2 | missing | 0 1 4 10 16 16 64 400 256 -7424 1024 355840 4096 -22360064 16384 1903790080 65536 -209865211904 | -| 36 | EulerTan:Std | PolyCol3 | missing | 0 1 6 25 84 241 666 2185 7944 19681 8526 177145 3234204 1594321 -194578014 14348905 19434558864 | -| 37 | EulerTan:Std | PolyDiag | A302587 | 0 1 4 25 224 2641 38592 671665 13548544 310580161 7971353600 226406902921 7049219383296 | -| 38 | EulerTan:Rev | Triangle | missing | 0 0 1 0 2 0 0 3 0 -2 0 4 0 -8 0 0 5 0 -20 0 16 0 6 0 -40 0 96 0 0 7 0 -70 0 336 0 -272 0 8 0 -112 0 | -| 39 | EulerTan:Rev | Acc | missing | 0 0 1 0 2 2 0 3 3 1 0 4 4 -4 -4 0 5 5 -15 -15 1 0 6 6 -34 -34 62 62 0 7 7 -63 -63 273 273 1 0 8 8 | -| 40 | EulerTan:Rev | AccRev | missing | 0 1 1 0 2 2 -2 -2 1 1 0 -8 -8 -4 -4 16 16 -4 -4 1 1 0 96 96 56 56 62 62 -272 -272 64 64 -6 -6 1 1 0 | -| 41 | EulerTan:Rev | AntiDiag | missing | 0 0 0 1 0 2 0 3 0 0 4 0 0 5 0 -2 0 6 0 -8 0 7 0 -20 0 0 8 0 -40 0 0 9 0 -70 0 16 0 10 0 -112 0 96 0 | -| 42 | EulerTan:Rev | Diffx1 | missing | 0 0 2 0 4 0 0 6 0 -8 0 8 0 -32 0 0 10 0 -80 0 96 0 12 0 -160 0 576 0 0 14 0 -280 0 2016 0 -2176 0 | -| 43 | EulerTan:Rev | RowSum | A009832 | 0 1 2 1 -4 1 62 1 -1384 1 50522 1 -2702764 1 199360982 1 -19391512144 1 2404879675442 1 | -| 44 | EulerTan:Rev | OddSum | A009832 | 0 1 2 1 -4 1 62 1 -1384 1 50522 1 -2702764 1 199360982 1 -19391512144 1 2404879675442 1 | -| 45 | EulerTan:Rev | AltSum | A009832 | 0 -1 -2 -1 4 -1 -62 -1 1384 -1 -50522 -1 2702764 -1 -199360982 -1 19391512144 -1 -2404879675442 -1 | -| 46 | EulerTan:Rev | DiagSum | missing | 0 0 1 2 3 4 3 -2 -13 -32 -45 -6 179 668 1427 1430 -2957 -20680 -62125 -105134 16435 880692 3667219 | -| 47 | EulerTan:Rev | AccSum | missing | 0 1 4 7 0 -19 68 435 -1376 -12455 50532 555743 -2702752 -35135931 199360996 2990414731 -19391512128 | -| 48 | EulerTan:Rev | AccRevSum | missing | 0 2 4 -2 -24 26 428 -426 -12464 12466 555732 -555730 -35135944 35135946 2990414716 -2990414714 | -| 49 | EulerTan:Rev | RowLcm | missing | 1 1 2 6 8 80 480 28560 15232 8499456 84994560 215347883520 369167800320 52416659296235520 | -| 50 | EulerTan:Rev | RowGcd | A003484 | 1 1 2 1 4 1 2 1 8 1 2 1 4 1 2 1 16 1 2 1 4 1 2 1 8 1 2 1 4 1 2 1 | -| 51 | EulerTan:Rev | RowMax | missing | 0 1 2 3 8 20 96 336 2176 9792 79360 436480 4245504 27595776 313155584 2348666880 30460116992 | -| 52 | EulerTan:Rev | ColMiddle | missing | 0 0 2 3 0 0 -40 -70 0 0 4032 7392 0 0 -933504 -1750320 0 0 385848320 733111808 0 0 -249576198144 | -| 53 | EulerTan:Rev | CentralE | B214447 | 0 2 0 -40 0 4032 0 -933504 0 385848320 0 -249576198144 0 232643283353600 0 -295306112919306240 | -| 54 | EulerTan:Rev | CentralO | missing | 0 3 0 -70 0 7392 0 -1750320 0 733111808 0 -478354379776 0 448669189324800 0 -572155593781155840 | -| 55 | EulerTan:Rev | ColRight | A350972 | 0 1 0 -2 0 16 0 -272 0 7936 0 -353792 0 22368256 0 -1903757312 0 209865342976 0 -29088885112832 0 | -| 56 | EulerTan:Rev | BinConv | missing | 0 1 4 7 -16 -159 -188 4383 26560 -104591 -2135836 -2607417 172480112 1152371377 -13824249372 | -| 57 | EulerTan:Rev | InvBinConv | missing | 0 1 -4 7 16 -159 188 4383 -26560 -104591 2135836 -2607417 -172480112 1152371377 13824249372 | -| 58 | EulerTan:Rev | TransNat0 | missing | 0 1 2 -3 -20 25 366 -427 -11080 12465 505210 -555731 -32433180 35135945 2791053734 -2990414715 | -| 59 | EulerTan:Rev | TransNat1 | missing | 0 2 4 -2 -24 26 428 -426 -12464 12466 555732 -555730 -35135944 35135946 2990414716 -2990414714 | -| 60 | EulerTan:Rev | TransSqrs | missing | 0 1 2 -15 -68 225 2046 -5551 -85224 211905 4927450 -11670351 -382529388 878398625 38582849046 | -| 61 | EulerTan:Rev | PosHalf | missing | 0 1 4 10 16 16 64 400 256 -7424 1024 355840 4096 -22360064 16384 1903790080 65536 -209865211904 | -| 62 | EulerTan:Rev | NegHalf | missing | 0 1 -4 10 -16 16 -64 400 -256 -7424 -1024 355840 -4096 -22360064 -16384 1903790080 -65536 | -| 63 | EulerTan:Rev | DiagRow1 | B109573 | 0 2 0 -8 0 96 0 -2176 0 79360 0 -4245504 0 313155584 0 -30460116992 0 3777576173568 0 | -| 64 | EulerTan:Rev | DiagRow2 | missing | 0 3 0 -20 0 336 0 -9792 0 436480 0 -27595776 0 2348666880 0 -258910994432 0 35886973648896 0 | -| 65 | EulerTan:Rev | DiagRow3 | missing | 0 4 0 -40 0 896 0 -32640 0 1745920 0 -128780288 0 12526223360 0 -1553465966592 0 239246490992640 0 | -| 66 | EulerTan:Rev | DiagCol1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 67 | EulerTan:Rev | DiagCol3 | B007290 | -2 -8 -20 -40 -70 -112 -168 -240 -330 -440 -572 -728 -910 -1120 -1360 -1632 -1938 -2280 -2660 -3080 | -| 68 | EulerTan:Rev | Poly | missing | 0 0 0 0 1 0 0 2 2 0 0 1 4 3 0 0 -4 -10 6 4 0 0 1 -56 -45 8 5 0 0 62 362 -204 -116 10 6 0 0 1 2764 | -| 69 | EulerTan:Rev | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 70 | EulerTan:Rev | PolyRow2 | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 | -| 71 | EulerTan:Rev | PolyRow3 | missing | 0 1 -10 -45 -116 -235 -414 -665 -1000 -1431 -1970 -2629 -3420 -4355 -5446 -6705 -8144 -9775 -11610 | -| 72 | EulerTan:Rev | PolyCol2 | A326325 | 0 2 4 -10 -56 362 2764 -24610 -250736 2873042 36581524 -512343610 -7828053416 129570724922 | -| 73 | EulerTan:Rev | PolyCol3 | missing | 0 3 6 -45 -204 3363 22266 -515085 -4544184 135274563 1491632526 -54276473325 -718181418564 | -| 74 | EulerTan:Rev | PolyDiag | missing | 0 1 4 -45 -496 47525 737892 -218380505 -4534099904 3027853088649 79034002960100 -99913537539058309 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:-------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | EulerTan:Std | Triangle | A162660 | 0 1 0 0 2 0 -2 0 3 0 0 -8 0 4 0 16 0 -20 0 5 0 0 96 0 -40 0 6 0 -272 0 336 0 -70 0 7 0 0 -2176 0 | +| 1 | EulerTan:Std | Rev | missing | 0 0 1 0 2 0 0 3 0 -2 0 4 0 -8 0 0 5 0 -20 0 16 0 6 0 -40 0 96 0 0 7 0 -70 0 336 0 -272 0 8 0 -112 0 | +| 2 | EulerTan:Std | Acc | missing | 0 1 1 0 2 2 -2 -2 1 1 0 -8 -8 -4 -4 16 16 -4 -4 1 1 0 96 96 56 56 62 62 -272 -272 64 64 -6 -6 1 1 0 | +| 3 | EulerTan:Std | AccRev | missing | 0 0 1 0 2 2 0 3 3 1 0 4 4 -4 -4 0 5 5 -15 -15 1 0 6 6 -34 -34 62 62 0 7 7 -63 -63 273 273 1 0 8 8 | +| 4 | EulerTan:Std | AntiDiag | missing | 0 1 0 0 -2 2 0 0 0 16 -8 3 0 0 0 0 -272 96 -20 4 0 0 0 0 0 7936 -2176 336 -40 5 0 0 0 0 0 0 -353792 | +| 5 | EulerTan:Std | Diffx1 | missing | 0 1 0 0 4 0 -2 0 9 0 0 -16 0 16 0 16 0 -60 0 25 0 0 192 0 -160 0 36 0 -272 0 1008 0 -350 0 49 0 0 | +| 6 | EulerTan:Std | RowSum | A009832 | 0 1 2 1 -4 1 62 1 -1384 1 50522 1 -2702764 1 199360982 1 -19391512144 1 2404879675442 1 | +| 7 | EulerTan:Std | EvenSum | A000035 | 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 | +| 8 | EulerTan:Std | OddSum | missing | 0 0 2 0 -4 0 62 0 -1384 0 50522 0 -2702764 0 199360982 0 -19391512144 0 2404879675442 0 | +| 9 | EulerTan:Std | AltSum | A009832 | 0 1 -2 1 4 1 -62 1 1384 1 -50522 1 2702764 1 -199360982 1 19391512144 1 -2404879675442 1 | +| 10 | EulerTan:Std | DiagSum | missing | 0 1 0 0 0 11 0 -192 0 6061 0 -283392 0 18528503 0 -1616537472 0 181630578553 0 -25558161202944 0 | +| 11 | EulerTan:Std | AccSum | missing | 0 2 4 -2 -24 26 428 -426 -12464 12466 555732 -555730 -35135944 35135946 2990414716 -2990414714 | +| 12 | EulerTan:Std | AccRevSum | missing | 0 1 4 7 0 -19 68 435 -1376 -12455 50532 555743 -2702752 -35135931 199360996 2990414731 -19391512128 | +| 13 | EulerTan:Std | RowLcm | missing | 1 1 2 6 8 80 480 28560 15232 8499456 84994560 215347883520 369167800320 52416659296235520 | +| 14 | EulerTan:Std | RowGcd | A003484 | 1 1 2 1 4 1 2 1 8 1 2 1 4 1 2 1 16 1 2 1 4 1 2 1 8 1 2 1 4 1 2 1 | +| 15 | EulerTan:Std | RowMax | missing | 0 1 2 3 8 20 96 336 2176 9792 79360 436480 4245504 27595776 313155584 2348666880 30460116992 | +| 16 | EulerTan:Std | ColMiddle | missing | 0 1 2 0 0 -20 -40 0 0 2016 4032 0 0 -466752 -933504 0 0 192924160 385848320 0 0 -124788099072 | +| 17 | EulerTan:Std | CentralE | B214447 | 0 2 0 -40 0 4032 0 -933504 0 385848320 0 -249576198144 0 232643283353600 0 -295306112919306240 | +| 18 | EulerTan:Std | CentralO | missing | 1 0 -20 0 2016 0 -466752 0 192924160 0 -124788099072 0 116321641676800 0 -147653056459653120 0 | +| 19 | EulerTan:Std | ColLeft | A350972 | 0 1 0 -2 0 16 0 -272 0 7936 0 -353792 0 22368256 0 -1903757312 0 209865342976 0 -29088885112832 0 | +| 20 | EulerTan:Std | BinConv | missing | 0 1 4 7 -16 -159 -188 4383 26560 -104591 -2135836 -2607417 172480112 1152371377 -13824249372 | +| 21 | EulerTan:Std | InvBinConv | missing | 0 -1 -4 -7 16 159 188 -4383 -26560 104591 2135836 2607417 -172480112 -1152371377 13824249372 | +| 22 | EulerTan:Std | TransNat0 | missing | 0 0 2 6 4 -20 6 434 8 -12456 10 555742 12 -35135932 14 2990414730 16 -329655706448 18 | +| 23 | EulerTan:Std | TransNat1 | missing | 0 1 4 7 0 -19 68 435 -1376 -12455 50532 555743 -2702752 -35135931 199360996 2990414731 -19391512128 | +| 24 | EulerTan:Std | TransSqrs | missing | 0 0 2 12 28 0 -114 476 3480 -12384 -124550 555852 6668916 -35135776 -491903034 2990414940 | +| 25 | EulerTan:Std | PosHalf | A326325 | 0 2 4 -10 -56 362 2764 -24610 -250736 2873042 36581524 -512343610 -7828053416 129570724922 | +| 26 | EulerTan:Std | NegHalf | A326325 | 0 -2 -4 10 56 -362 -2764 24610 250736 -2873042 -36581524 512343610 7828053416 -129570724922 | +| 27 | EulerTan:Std | DiagRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 28 | EulerTan:Std | DiagRow3 | B007290 | -2 -8 -20 -40 -70 -112 -168 -240 -330 -440 -572 -728 -910 -1120 -1360 -1632 -1938 -2280 -2660 -3080 | +| 29 | EulerTan:Std | DiagCol1 | B109573 | 0 2 0 -8 0 96 0 -2176 0 79360 0 -4245504 0 313155584 0 -30460116992 0 3777576173568 0 | +| 30 | EulerTan:Std | DiagCol2 | missing | 0 3 0 -20 0 336 0 -9792 0 436480 0 -27595776 0 2348666880 0 -258910994432 0 35886973648896 0 | +| 31 | EulerTan:Std | DiagCol3 | missing | 0 4 0 -40 0 896 0 -32640 0 1745920 0 -128780288 0 12526223360 0 -1553465966592 0 239246490992640 0 | +| 32 | EulerTan:Std | Poly | missing | 0 1 0 0 1 0 -2 2 1 0 0 1 4 1 0 16 -4 10 6 1 0 0 1 16 25 8 1 0 -272 62 16 84 46 10 1 0 0 1 64 241 | +| 33 | EulerTan:Std | PolyRow2 | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 | +| 34 | EulerTan:Std | PolyRow3 | A100536 | -2 1 10 25 46 73 106 145 190 241 298 361 430 505 586 673 766 865 970 1081 1198 1321 1450 1585 1726 | +| 35 | EulerTan:Std | PolyCol2 | missing | 0 1 4 10 16 16 64 400 256 -7424 1024 355840 4096 -22360064 16384 1903790080 65536 -209865211904 | +| 36 | EulerTan:Std | PolyCol3 | missing | 0 1 6 25 84 241 666 2185 7944 19681 8526 177145 3234204 1594321 -194578014 14348905 19434558864 | +| 37 | EulerTan:Std | PolyDiag | A302587 | 0 1 4 25 224 2641 38592 671665 13548544 310580161 7971353600 226406902921 7049219383296 | +| 38 | EulerTan:Alt | Triangle | A162660 | 0 1 0 0 -2 0 -2 0 3 0 0 8 0 -4 0 16 0 -20 0 5 0 0 -96 0 40 0 -6 0 -272 0 336 0 -70 0 7 0 0 2176 0 | +| 39 | EulerTan:Alt | Rev | missing | 0 0 1 0 -2 0 0 3 0 -2 0 -4 0 8 0 0 5 0 -20 0 16 0 -6 0 40 0 -96 0 0 7 0 -70 0 336 0 -272 0 -8 0 112 | +| 40 | EulerTan:Alt | Acc | missing | 0 1 1 0 -2 -2 -2 -2 1 1 0 8 8 4 4 16 16 -4 -4 1 1 0 -96 -96 -56 -56 -62 -62 -272 -272 64 64 -6 -6 1 | +| 41 | EulerTan:Alt | AccRev | missing | 0 0 1 0 -2 -2 0 3 3 1 0 -4 -4 4 4 0 5 5 -15 -15 1 0 -6 -6 34 34 -62 -62 0 7 7 -63 -63 273 273 1 0 | +| 42 | EulerTan:Alt | AntiDiag | missing | 0 1 0 0 -2 -2 0 0 0 16 8 3 0 0 0 0 -272 -96 -20 -4 0 0 0 0 0 7936 2176 336 40 5 0 0 0 0 0 0 -353792 | +| 43 | EulerTan:Alt | Diffx1 | missing | 0 1 0 0 -4 0 -2 0 9 0 0 16 0 -16 0 16 0 -60 0 25 0 0 -192 0 160 0 -36 0 -272 0 1008 0 -350 0 49 0 0 | +| 44 | EulerTan:Alt | RowSum | A009832 | 0 1 -2 1 4 1 -62 1 1384 1 -50522 1 2702764 1 -199360982 1 19391512144 1 -2404879675442 1 | +| 45 | EulerTan:Alt | EvenSum | A000035 | 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 | +| 46 | EulerTan:Alt | OddSum | missing | 0 0 -2 0 4 0 -62 0 1384 0 -50522 0 2702764 0 -199360982 0 19391512144 0 -2404879675442 0 | +| 47 | EulerTan:Alt | AltSum | A009832 | 0 1 2 1 -4 1 62 1 -1384 1 50522 1 -2702764 1 199360982 1 -19391512144 1 2404879675442 1 | +| 48 | EulerTan:Alt | DiagSum | missing | 0 1 0 -4 0 27 0 -392 0 10493 0 -443916 0 27085015 0 -2246348560 0 242808804441 0 -33138397797908 0 | +| 49 | EulerTan:Alt | AccSum | missing | 0 2 -4 -2 24 26 -428 -426 12464 12466 -555732 -555730 35135944 35135946 -2990414716 -2990414714 | +| 50 | EulerTan:Alt | AccRevSum | missing | 0 1 -4 7 0 -19 -68 435 1376 -12455 -50532 555743 2702752 -35135931 -199360996 2990414731 | +| 51 | EulerTan:Alt | RowLcm | missing | 1 1 2 6 8 80 480 28560 15232 8499456 84994560 215347883520 369167800320 52416659296235520 | +| 52 | EulerTan:Alt | RowGcd | A003484 | 1 1 2 1 4 1 2 1 8 1 2 1 4 1 2 1 16 1 2 1 4 1 2 1 8 1 2 1 4 1 2 1 | +| 53 | EulerTan:Alt | RowMax | missing | 0 1 2 3 8 20 96 336 2176 9792 79360 436480 4245504 27595776 313155584 2348666880 30460116992 | +| 54 | EulerTan:Alt | ColMiddle | missing | 0 1 -2 0 0 -20 40 0 0 2016 -4032 0 0 -466752 933504 0 0 192924160 -385848320 0 0 -124788099072 | +| 55 | EulerTan:Alt | CentralE | B214447 | 0 -2 0 40 0 -4032 0 933504 0 -385848320 0 249576198144 0 -232643283353600 0 295306112919306240 | +| 56 | EulerTan:Alt | CentralO | missing | 1 0 -20 0 2016 0 -466752 0 192924160 0 -124788099072 0 116321641676800 0 -147653056459653120 0 | +| 57 | EulerTan:Alt | ColLeft | A350972 | 0 1 0 -2 0 16 0 -272 0 7936 0 -353792 0 22368256 0 -1903757312 0 209865342976 0 -29088885112832 0 | +| 58 | EulerTan:Alt | BinConv | missing | 0 1 -4 7 16 -159 188 4383 -26560 -104591 2135836 -2607417 -172480112 1152371377 13824249372 | +| 59 | EulerTan:Alt | InvBinConv | missing | 0 -1 4 -7 -16 159 -188 -4383 26560 104591 -2135836 2607417 172480112 -1152371377 -13824249372 | +| 60 | EulerTan:Alt | TransNat0 | missing | 0 0 -2 6 -4 -20 -6 434 -8 -12456 -10 555742 -12 -35135932 -14 2990414730 -16 -329655706448 -18 | +| 61 | EulerTan:Alt | TransNat1 | missing | 0 1 -4 7 0 -19 -68 435 1376 -12455 -50532 555743 2702752 -35135931 -199360996 2990414731 | +| 62 | EulerTan:Alt | TransSqrs | missing | 0 0 -2 12 -28 0 114 476 -3480 -12384 124550 555852 -6668916 -35135776 491903034 2990414940 | +| 63 | EulerTan:Alt | PosHalf | A326325 | 0 2 -4 -10 56 362 -2764 -24610 250736 2873042 -36581524 -512343610 7828053416 129570724922 | +| 64 | EulerTan:Alt | NegHalf | A326325 | 0 -2 4 10 -56 -362 2764 24610 -250736 -2873042 36581524 512343610 -7828053416 -129570724922 | +| 65 | EulerTan:Alt | DiagRow1 | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 66 | EulerTan:Alt | DiagRow3 | B007290 | -2 8 -20 40 -70 112 -168 240 -330 440 -572 728 -910 1120 -1360 1632 -1938 2280 -2660 3080 -3542 | +| 67 | EulerTan:Alt | DiagCol1 | B109573 | 0 -2 0 8 0 -96 0 2176 0 -79360 0 4245504 0 -313155584 0 30460116992 0 -3777576173568 0 | +| 68 | EulerTan:Alt | DiagCol2 | missing | 0 3 0 -20 0 336 0 -9792 0 436480 0 -27595776 0 2348666880 0 -258910994432 0 35886973648896 0 | +| 69 | EulerTan:Alt | DiagCol3 | missing | 0 -4 0 40 0 -896 0 32640 0 -1745920 0 128780288 0 -12526223360 0 1553465966592 0 -239246490992640 0 | +| 70 | EulerTan:Alt | Poly | missing | 0 1 0 0 1 0 -2 -2 1 0 0 1 -4 1 0 16 4 10 -6 1 0 0 1 -16 25 -8 1 0 -272 -62 16 -84 46 -10 1 0 0 1 | +| 71 | EulerTan:Alt | PolyRow2 | A005843 | 0 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 | +| 72 | EulerTan:Alt | PolyRow3 | A100536 | -2 1 10 25 46 73 106 145 190 241 298 361 430 505 586 673 766 865 970 1081 1198 1321 1450 1585 1726 | +| 73 | EulerTan:Alt | PolyCol2 | missing | 0 1 -4 10 -16 16 -64 400 -256 -7424 -1024 355840 -4096 -22360064 -16384 1903790080 -65536 | +| 74 | EulerTan:Alt | PolyCol3 | missing | 0 1 -6 25 -84 241 -666 2185 -7944 19681 -8526 177145 -3234204 1594321 194578014 14348905 | +| 75 | EulerTan:Alt | PolyDiag | A302587 | 0 1 -4 25 -224 2641 -38592 671665 -13548544 310580161 -7971353600 226406902921 -7049219383296 | +| 76 | EulerTan:Rev | Triangle | missing | 0 0 1 0 2 0 0 3 0 -2 0 4 0 -8 0 0 5 0 -20 0 16 0 6 0 -40 0 96 0 0 7 0 -70 0 336 0 -272 0 8 0 -112 0 | +| 77 | EulerTan:Rev | Acc | missing | 0 0 1 0 2 2 0 3 3 1 0 4 4 -4 -4 0 5 5 -15 -15 1 0 6 6 -34 -34 62 62 0 7 7 -63 -63 273 273 1 0 8 8 | +| 78 | EulerTan:Rev | AccRev | missing | 0 1 1 0 2 2 -2 -2 1 1 0 -8 -8 -4 -4 16 16 -4 -4 1 1 0 96 96 56 56 62 62 -272 -272 64 64 -6 -6 1 1 0 | +| 79 | EulerTan:Rev | AntiDiag | missing | 0 0 0 1 0 2 0 3 0 0 4 0 0 5 0 -2 0 6 0 -8 0 7 0 -20 0 0 8 0 -40 0 0 9 0 -70 0 16 0 10 0 -112 0 96 0 | +| 80 | EulerTan:Rev | Diffx1 | missing | 0 0 2 0 4 0 0 6 0 -8 0 8 0 -32 0 0 10 0 -80 0 96 0 12 0 -160 0 576 0 0 14 0 -280 0 2016 0 -2176 0 | +| 81 | EulerTan:Rev | RowSum | A009832 | 0 1 2 1 -4 1 62 1 -1384 1 50522 1 -2702764 1 199360982 1 -19391512144 1 2404879675442 1 | +| 82 | EulerTan:Rev | OddSum | A009832 | 0 1 2 1 -4 1 62 1 -1384 1 50522 1 -2702764 1 199360982 1 -19391512144 1 2404879675442 1 | +| 83 | EulerTan:Rev | AltSum | A009832 | 0 -1 -2 -1 4 -1 -62 -1 1384 -1 -50522 -1 2702764 -1 -199360982 -1 19391512144 -1 -2404879675442 -1 | +| 84 | EulerTan:Rev | DiagSum | missing | 0 0 1 2 3 4 3 -2 -13 -32 -45 -6 179 668 1427 1430 -2957 -20680 -62125 -105134 16435 880692 3667219 | +| 85 | EulerTan:Rev | AccSum | missing | 0 1 4 7 0 -19 68 435 -1376 -12455 50532 555743 -2702752 -35135931 199360996 2990414731 -19391512128 | +| 86 | EulerTan:Rev | AccRevSum | missing | 0 2 4 -2 -24 26 428 -426 -12464 12466 555732 -555730 -35135944 35135946 2990414716 -2990414714 | +| 87 | EulerTan:Rev | RowLcm | missing | 1 1 2 6 8 80 480 28560 15232 8499456 84994560 215347883520 369167800320 52416659296235520 | +| 88 | EulerTan:Rev | RowGcd | A003484 | 1 1 2 1 4 1 2 1 8 1 2 1 4 1 2 1 16 1 2 1 4 1 2 1 8 1 2 1 4 1 2 1 | +| 89 | EulerTan:Rev | RowMax | missing | 0 1 2 3 8 20 96 336 2176 9792 79360 436480 4245504 27595776 313155584 2348666880 30460116992 | +| 90 | EulerTan:Rev | ColMiddle | missing | 0 0 2 3 0 0 -40 -70 0 0 4032 7392 0 0 -933504 -1750320 0 0 385848320 733111808 0 0 -249576198144 | +| 91 | EulerTan:Rev | CentralE | B214447 | 0 2 0 -40 0 4032 0 -933504 0 385848320 0 -249576198144 0 232643283353600 0 -295306112919306240 | +| 92 | EulerTan:Rev | CentralO | missing | 0 3 0 -70 0 7392 0 -1750320 0 733111808 0 -478354379776 0 448669189324800 0 -572155593781155840 | +| 93 | EulerTan:Rev | ColRight | A350972 | 0 1 0 -2 0 16 0 -272 0 7936 0 -353792 0 22368256 0 -1903757312 0 209865342976 0 -29088885112832 0 | +| 94 | EulerTan:Rev | BinConv | missing | 0 1 4 7 -16 -159 -188 4383 26560 -104591 -2135836 -2607417 172480112 1152371377 -13824249372 | +| 95 | EulerTan:Rev | InvBinConv | missing | 0 1 -4 7 16 -159 188 4383 -26560 -104591 2135836 -2607417 -172480112 1152371377 13824249372 | +| 96 | EulerTan:Rev | TransNat0 | missing | 0 1 2 -3 -20 25 366 -427 -11080 12465 505210 -555731 -32433180 35135945 2791053734 -2990414715 | +| 97 | EulerTan:Rev | TransNat1 | missing | 0 2 4 -2 -24 26 428 -426 -12464 12466 555732 -555730 -35135944 35135946 2990414716 -2990414714 | +| 98 | EulerTan:Rev | TransSqrs | missing | 0 1 2 -15 -68 225 2046 -5551 -85224 211905 4927450 -11670351 -382529388 878398625 38582849046 | +| 99 | EulerTan:Rev | PosHalf | missing | 0 1 4 10 16 16 64 400 256 -7424 1024 355840 4096 -22360064 16384 1903790080 65536 -209865211904 | +| 100 | EulerTan:Rev | NegHalf | missing | 0 1 -4 10 -16 16 -64 400 -256 -7424 -1024 355840 -4096 -22360064 -16384 1903790080 -65536 | +| 101 | EulerTan:Rev | DiagRow1 | B109573 | 0 2 0 -8 0 96 0 -2176 0 79360 0 -4245504 0 313155584 0 -30460116992 0 3777576173568 0 | +| 102 | EulerTan:Rev | DiagRow2 | missing | 0 3 0 -20 0 336 0 -9792 0 436480 0 -27595776 0 2348666880 0 -258910994432 0 35886973648896 0 | +| 103 | EulerTan:Rev | DiagRow3 | missing | 0 4 0 -40 0 896 0 -32640 0 1745920 0 -128780288 0 12526223360 0 -1553465966592 0 239246490992640 0 | +| 104 | EulerTan:Rev | DiagCol1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 105 | EulerTan:Rev | DiagCol3 | B007290 | -2 -8 -20 -40 -70 -112 -168 -240 -330 -440 -572 -728 -910 -1120 -1360 -1632 -1938 -2280 -2660 -3080 | +| 106 | EulerTan:Rev | Poly | missing | 0 0 0 0 1 0 0 2 2 0 0 1 4 3 0 0 -4 -10 6 4 0 0 1 -56 -45 8 5 0 0 62 362 -204 -116 10 6 0 0 1 2764 | +| 107 | EulerTan:Rev | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 108 | EulerTan:Rev | PolyRow2 | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 | +| 109 | EulerTan:Rev | PolyRow3 | missing | 0 1 -10 -45 -116 -235 -414 -665 -1000 -1431 -1970 -2629 -3420 -4355 -5446 -6705 -8144 -9775 -11610 | +| 110 | EulerTan:Rev | PolyCol2 | A326325 | 0 2 4 -10 -56 362 2764 -24610 -250736 2873042 36581524 -512343610 -7828053416 129570724922 | +| 111 | EulerTan:Rev | PolyCol3 | missing | 0 3 6 -45 -204 3363 22266 -515085 -4544184 135274563 1491632526 -54276473325 -718181418564 | +| 112 | EulerTan:Rev | PolyDiag | missing | 0 1 4 -45 -496 47525 737892 -218380505 -4534099904 3027853088649 79034002960100 -99913537539058309 | \ No newline at end of file diff --git a/data/md/Eulerian.md b/data/md/Eulerian.md index 3633066..358bc91 100644 --- a/data/md/Eulerian.md +++ b/data/md/Eulerian.md @@ -38,82 +38,120 @@ | 35 | Eulerian:Std | PolyCol2 | A000670 | 1 1 3 13 75 541 4683 47293 545835 7087261 102247563 1622632573 28091567595 526858348381 | | 36 | Eulerian:Std | PolyCol3 | A122704 | 1 1 4 22 160 1456 15904 202672 2951680 48361216 880405504 17630351872 385148108800 9114999832576 | | 37 | Eulerian:Std | PolyDiag | A122778 | 1 1 3 22 285 5656 158095 5881968 279768825 16507789696 1180490926131 100415158796800 | -| 38 | Eulerian:Rev | Triangle | A085852 | 1 0 1 0 1 1 0 1 4 1 0 1 11 11 1 0 1 26 66 26 1 0 1 57 302 302 57 1 0 1 120 1191 2416 1191 120 1 0 1 | -| 39 | Eulerian:Rev | Inv | missing | 1 0 1 0 -1 1 0 3 -4 1 0 -23 33 -11 1 0 425 -620 220 -26 1 0 -18129 26525 -9520 1180 -57 1 0 1721419 | -| 40 | Eulerian:Rev | RevInv | missing | 1 1 0 1 -1 0 1 -4 3 0 1 -11 33 -23 0 1 -26 220 -620 425 0 1 -57 1180 -9520 26525 -18129 0 1 -120 | -| 41 | Eulerian:Rev | Acc | missing | 1 0 1 0 1 2 0 1 5 6 0 1 12 23 24 0 1 27 93 119 120 0 1 58 360 662 719 720 0 1 121 1312 3728 4919 | -| 42 | Eulerian:Rev | AccRev | missing | 1 1 1 1 2 2 1 5 6 6 1 12 23 24 24 1 27 93 119 120 120 1 58 360 662 719 720 720 1 121 1312 3728 4919 | -| 43 | Eulerian:Rev | AntiDiag | missing | 1 0 0 1 0 1 0 1 1 0 1 4 0 1 11 1 0 1 26 11 0 1 57 66 1 0 1 120 302 26 0 1 247 1191 302 1 0 1 502 | -| 44 | Eulerian:Rev | Diffx1 | missing | 1 0 2 0 2 3 0 2 12 4 0 2 33 44 5 0 2 78 264 130 6 0 2 171 1208 1510 342 7 0 2 360 4764 12080 7146 | -| 45 | Eulerian:Rev | RowSum | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 46 | Eulerian:Rev | EvenSum | B262745 | 1 0 1 4 12 52 360 2656 20160 177472 1814400 20135296 239500800 3102326272 43589145600 654789062656 | -| 47 | Eulerian:Rev | OddSum | B128103 | 0 1 1 2 12 68 360 2384 20160 185408 1814400 19781504 239500800 3124694528 43589145600 652885305344 | -| 48 | Eulerian:Rev | AltSum | A009006 | 1 -1 0 2 0 -16 0 272 0 -7936 0 353792 0 -22368256 0 1903757312 0 -209865342976 0 29088885112832 0 | -| 49 | Eulerian:Rev | DiagSum | B000800 | 1 0 1 1 2 5 13 38 125 449 1742 7269 32433 153850 772397 4088773 22746858 132601933 807880821 | -| 50 | Eulerian:Rev | AccSum | B001710 | 1 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 3113510400 43589145600 653837184000 | -| 51 | Eulerian:Rev | AccRevSum | A038720 | 1 2 5 18 84 480 3240 25200 221760 2177280 23587200 279417600 3592512000 49816166400 741015475200 | -| 52 | Eulerian:Rev | RowLcm | A180057 | 1 1 1 4 11 858 17214 14387280 16561934649 12632627296395920 1806607850839536160 | -| 53 | Eulerian:Rev | RowGcd | missing | 1 1 1 4 11 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 54 | Eulerian:Rev | RowMax | A006551 | 1 1 1 4 11 66 302 2416 15619 156190 1310354 15724248 162512286 2275172004 27971176092 447538817472 | -| 55 | Eulerian:Rev | ColMiddle | missing | 1 0 1 1 11 26 302 1191 15619 88234 1310354 9738114 162512286 1505621508 27971176092 311387598411 | -| 56 | Eulerian:Rev | CentralE | A180056 | 1 1 11 302 15619 1310354 162512286 27971176092 6382798925475 1865385657780650 679562217794156938 | -| 57 | Eulerian:Rev | CentralO | missing | 0 1 26 1191 88234 9738114 1505621508 311387598411 83137223185370 27862280567093358 | -| 58 | Eulerian:Rev | BinConv | A011818 | 1 1 3 16 115 1056 11774 154624 2337507 39984640 763546234 16101629952 371644257582 9319104528384 | -| 59 | Eulerian:Rev | InvBinConv | A344052 | 1 1 -1 -8 19 276 -1002 -21216 103395 2881180 -17620142 -609297072 4483215086 185182296040 | -| 60 | Eulerian:Rev | TransNat0 | B001710 | 0 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 3113510400 43589145600 653837184000 | -| 61 | Eulerian:Rev | TransNat1 | A038720 | 1 2 5 18 84 480 3240 25200 221760 2177280 23587200 279417600 3592512000 49816166400 741015475200 | -| 62 | Eulerian:Rev | TransSqrs | missing | 0 1 5 26 160 1140 9240 84000 846720 9374400 113097600 1476921600 20756736000 312388876800 | -| 63 | Eulerian:Rev | PosHalf | A000670 | 1 1 3 13 75 541 4683 47293 545835 7087261 102247563 1622632573 28091567595 526858348381 | -| 64 | Eulerian:Rev | NegHalf | A087674 | 1 1 -1 -3 15 21 -441 477 19935 -101979 -1150281 14838957 60479055 -2328851979 3529587879 | -| 65 | Eulerian:Rev | DiagRow1 | A125128 | 0 1 4 11 26 57 120 247 502 1013 2036 4083 8178 16369 32752 65519 131054 262125 524268 1048555 | -| 66 | Eulerian:Rev | DiagRow2 | A000460 | 0 1 11 66 302 1191 4293 14608 47840 152637 478271 1479726 4537314 13824739 41932745 126781020 | -| 67 | Eulerian:Rev | DiagRow3 | A066912 | 0 1 26 302 2416 15619 88234 455192 2203488 10187685 45533450 198410786 848090912 3572085255 | -| 68 | Eulerian:Rev | DiagCol2 | A125128 | 1 4 11 26 57 120 247 502 1013 2036 4083 8178 16369 32752 65519 131054 262125 524268 1048555 2097130 | -| 69 | Eulerian:Rev | DiagCol3 | A000460 | 1 11 66 302 1191 4293 14608 47840 152637 478271 1479726 4537314 13824739 41932745 126781020 | -| 70 | Eulerian:Rev | Poly | missing | 1 0 1 0 1 1 0 2 2 1 0 6 6 3 1 0 24 26 12 4 1 0 120 150 66 20 5 1 0 720 1082 480 132 30 6 1 0 5040 | -| 71 | Eulerian:Rev | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 72 | Eulerian:Rev | PolyRow2 | A002378 | 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | -| 73 | Eulerian:Rev | PolyRow3 | missing | 0 6 26 66 132 230 366 546 776 1062 1410 1826 2316 2886 3542 4290 5136 6086 7146 8322 9620 11046 | -| 74 | Eulerian:Rev | PolyCol2 | A000629 | 1 2 6 26 150 1082 9366 94586 1091670 14174522 204495126 3245265146 56183135190 1053716696762 | -| 75 | Eulerian:Rev | PolyCol3 | A123227 | 1 3 12 66 480 4368 47712 608016 8855040 145083648 2641216512 52891055616 1155444326400 | -| 76 | Eulerian:Rev | PolyDiag | A122020 | 1 1 6 66 1140 28280 948570 41173776 2238150600 148570107264 11804909261310 1104566746764800 | -| 77 | Eulerian:Rev:Inv | Triangle | missing | 1 0 1 0 -1 1 0 3 -4 1 0 -23 33 -11 1 0 425 -620 220 -26 1 0 -18129 26525 -9520 1180 -57 1 0 1721419 | -| 78 | Eulerian:Rev:Inv | Rev | missing | 1 1 0 1 -1 0 1 -4 3 0 1 -11 33 -23 0 1 -26 220 -620 425 0 1 -57 1180 -9520 26525 -18129 0 1 -120 | -| 79 | Eulerian:Rev:Inv | Inv | A085852 | 1 0 1 0 1 1 0 1 4 1 0 1 11 11 1 0 1 26 66 26 1 0 1 57 302 302 57 1 0 1 120 1191 2416 1191 120 1 0 1 | -| 80 | Eulerian:Rev:Inv | RevInv | A173018 | 1 1 0 1 1 0 1 4 1 0 1 11 11 1 0 1 26 66 26 1 0 1 57 302 302 57 1 0 1 120 1191 2416 1191 120 1 0 1 | -| 81 | Eulerian:Rev:Inv | Acc | missing | 1 0 1 0 -1 0 0 3 -1 0 0 -23 10 -1 0 0 425 -195 25 -1 0 0 -18129 8396 -1124 56 -1 0 0 1721419 | -| 82 | Eulerian:Rev:Inv | AccRev | missing | 1 1 1 1 0 0 1 -3 0 0 1 -10 23 0 0 1 -25 195 -425 0 0 1 -56 1124 -8396 18129 0 0 1 -119 5530 -107520 | -| 83 | Eulerian:Rev:Inv | AntiDiag | missing | 1 0 0 1 0 -1 0 3 1 0 -23 -4 0 425 33 1 0 -18129 -620 -11 0 1721419 26525 220 1 0 -353654167 | -| 84 | Eulerian:Rev:Inv | Diffx1 | missing | 1 0 2 0 -2 3 0 6 -12 4 0 -46 99 -44 5 0 850 -1860 880 -130 6 0 -36258 79575 -38080 5900 -342 7 0 | -| 85 | Eulerian:Rev:Inv | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 86 | Eulerian:Rev:Inv | EvenSum | missing | 1 0 1 -4 34 -646 27706 -2632834 540943894 -235440050206 213784986478426 -400496123507752834 | -| 87 | Eulerian:Rev:Inv | OddSum | missing | 0 1 -1 4 -34 646 -27706 2632834 -540943894 235440050206 -213784986478426 400496123507752834 | -| 88 | Eulerian:Rev:Inv | AltSum | missing | 1 -1 2 -8 68 -1292 55412 -5265668 1081887788 -470880100412 427569972956852 -800992247015505668 | -| 89 | Eulerian:Rev:Inv | DiagSum | missing | 1 0 1 -1 4 -27 459 -18760 1748165 -356183377 154441679984 -139991150863463 262035970469968235 | -| 90 | Eulerian:Rev:Inv | AccSum | missing | 1 1 -1 2 -14 254 -10802 1025282 -210628574 91672862654 -83241011160482 155940328618482242 | -| 91 | Eulerian:Rev:Inv | AccRevSum | missing | 1 2 1 -2 14 -254 10802 -1025282 210628574 -91672862654 83241011160482 -155940328618482242 | -| 92 | Eulerian:Rev:Inv | RowLcm | missing | 1 1 1 12 759 7536100 1026364915892400 261891765713181433200 | -| 93 | Eulerian:Rev:Inv | RowMax | missing | 1 1 1 4 33 620 26525 2519664 517670461 225309742552 204586385695065 383263833094891100 | -| 94 | Eulerian:Rev:Inv | ColMiddle | missing | 1 0 -1 3 33 -620 -9520 905765 23248085 -10119247684 -461102826618 863812603482906 72133429144708470 | -| 95 | Eulerian:Rev:Inv | CentralE | missing | 1 -1 33 -9520 23248085 -461102826618 72133429144708470 -87969630451614365600718 | -| 96 | Eulerian:Rev:Inv | CentralO | missing | 0 3 -620 905765 -10119247684 863812603482906 -562517197939195769556 2804781888582977542701824505 | -| 97 | Eulerian:Rev:Inv | BinConv | missing | 1 1 -1 -2 63 -2004 116060 -13000196 2805402383 -1133051255552 797251531657020 -752227446454305678 | -| 98 | Eulerian:Rev:Inv | InvBinConv | missing | 1 1 3 22 335 10656 715092 100740872 29440294767 17641158624220 21478935357883652 | -| 99 | Eulerian:Rev:Inv | TransNat0 | missing | 0 1 1 -2 14 -254 10802 -1025282 210628574 -91672862654 83241011160482 -155940328618482242 | -| 100 | Eulerian:Rev:Inv | TransNat1 | missing | 1 2 1 -2 14 -254 10802 -1025282 210628574 -91672862654 83241011160482 -155940328618482242 | -| 101 | Eulerian:Rev:Inv | TransSqrs | missing | 0 1 3 -4 26 -466 19782 -1877198 385632634 -167840371410 152402794095350 -285505201096326190 | -| 102 | Eulerian:Rev:Inv | PosHalf | missing | 1 1 -1 5 -73 2669 -227281 43151765 -17730027673 15433466711549 -28027868889140641 | -| 103 | Eulerian:Rev:Inv | NegHalf | missing | 1 1 3 21 339 12693 1085523 206219541 84735988179 73760569610133 133952554990485843 | -| 104 | Eulerian:Rev:Inv | DiagRow1 | A125128 | 0 -1 -4 -11 -26 -57 -120 -247 -502 -1013 -2036 -4083 -8178 -16369 -32752 -65519 -131054 -262125 | -| 105 | Eulerian:Rev:Inv | DiagRow2 | missing | 0 3 33 220 1180 5649 25347 109386 460686 1909831 7834717 31911048 129328368 522292749 2103945543 | -| 106 | Eulerian:Rev:Inv | DiagRow3 | missing | 0 -23 -620 -9520 -113050 -1166221 -11059468 -99446730 -863536410 -7323539135 -61105126940 | -| 107 | Eulerian:Rev:Inv | DiagCol1 | B055326 | 1 -1 3 -23 425 -18129 1721419 -353654167 153923102577 -139765654884545 261831303051976691 | -| 108 | Eulerian:Rev:Inv | DiagCol2 | missing | 1 -4 33 -620 26525 -2519664 517670461 -225309742552 204586385695065 -383263833094891100 | -| 109 | Eulerian:Rev:Inv | DiagCol3 | missing | 1 -11 220 -9520 905765 -186123259 81009042744 -73558129319520 137800821538668585 | -| 110 | Eulerian:Rev:Inv | Poly | A060701 | 1 0 1 0 1 1 0 0 2 1 0 0 2 3 1 0 0 -2 6 4 1 0 0 14 0 12 5 1 0 0 -254 12 12 20 6 1 0 0 10802 -228 -12 | -| 111 | Eulerian:Rev:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 112 | Eulerian:Rev:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | -| 113 | Eulerian:Rev:Inv | PolyRow3 | missing | 0 0 -2 0 12 40 90 168 280 432 630 880 1188 1560 2002 2520 3120 3808 4590 5472 6460 7560 8778 10120 | -| 114 | Eulerian:Rev:Inv | PolyCol2 | missing | 1 2 2 -2 14 -254 10802 -1025282 210628574 -91672862654 83241011160482 -155940328618482242 | -| 115 | Eulerian:Rev:Inv | PolyCol3 | missing | 1 3 6 0 12 -228 9756 -926700 190391172 -82865376468 75243648657756 -140958397763559660 | -| 116 | Eulerian:Rev:Inv | PolyDiag | missing | 1 1 2 0 -12 1000 -77490 9479148 -1840661368 407756323728 372685323181050 -2870310547784125820 | \ No newline at end of file +| 38 | Eulerian:Alt | Triangle | A173018 | 1 1 0 1 -1 0 1 -4 1 0 1 -11 11 -1 0 1 -26 66 -26 1 0 1 -57 302 -302 57 -1 0 1 -120 1191 -2416 1191 | +| 39 | Eulerian:Alt | Rev | A085852 | 1 0 1 0 -1 1 0 1 -4 1 0 -1 11 -11 1 0 1 -26 66 -26 1 0 -1 57 -302 302 -57 1 0 1 -120 1191 -2416 | +| 40 | Eulerian:Alt | InvRev | missing | 1 0 1 0 1 1 0 3 4 1 0 23 33 11 1 0 425 620 220 26 1 0 18129 26525 9520 1180 57 1 0 1721419 2519664 | +| 41 | Eulerian:Alt | Acc | missing | 1 1 1 1 0 0 1 -3 -2 -2 1 -10 1 0 0 1 -25 41 15 16 16 1 -56 246 -56 1 0 0 1 -119 1072 -1344 -153 | +| 42 | Eulerian:Alt | AccRev | missing | 1 0 1 0 -1 0 0 1 -3 -2 0 -1 10 -1 0 0 1 -25 41 15 16 0 -1 56 -246 56 -1 0 0 1 -119 1072 -1344 -153 | +| 43 | Eulerian:Alt | AntiDiag | A344393 | 1 1 1 0 1 -1 1 -4 0 1 -11 1 1 -26 11 0 1 -57 66 -1 1 -120 302 -26 0 1 -247 1191 -302 1 1 -502 4293 | +| 44 | Eulerian:Alt | Diffx1 | missing | 1 1 0 1 -2 0 1 -8 3 0 1 -22 33 -4 0 1 -52 198 -104 5 0 1 -114 906 -1208 285 -6 0 1 -240 3573 -9664 | +| 45 | Eulerian:Alt | RowSum | A009006 | 1 1 0 -2 0 16 0 -272 0 7936 0 -353792 0 22368256 0 -1903757312 0 209865342976 0 -29088885112832 0 | +| 46 | Eulerian:Alt | EvenSum | A128103 | 1 1 1 2 12 68 360 2384 20160 185408 1814400 19781504 239500800 3124694528 43589145600 652885305344 | +| 47 | Eulerian:Alt | OddSum | A262745 | 0 0 -1 -4 -12 -52 -360 -2656 -20160 -177472 -1814400 -20135296 -239500800 -3102326272 -43589145600 | +| 48 | Eulerian:Alt | AltSum | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 49 | Eulerian:Alt | DiagSum | missing | 1 1 1 0 -3 -9 -14 9 157 644 1433 -833 -26930 -154739 -511027 -281960 10020029 85807959 420141258 | +| 50 | Eulerian:Alt | AccSum | missing | 1 2 1 -6 -8 64 136 -1360 -3968 47616 176896 -2476544 -11184128 178946048 951878656 -17133815808 | +| 51 | Eulerian:Alt | AccRevSum | missing | 1 1 -1 -4 8 48 -136 -1088 3968 39680 -176896 -2122752 11184128 156577792 -951878656 -15230058496 | +| 52 | Eulerian:Alt | RowLcm | A180057 | 1 1 1 4 11 858 17214 14387280 16561934649 12632627296395920 1806607850839536160 | +| 53 | Eulerian:Alt | RowGcd | missing | 1 1 1 4 11 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 54 | Eulerian:Alt | RowMax | A006551 | 1 1 1 4 11 66 302 2416 15619 156190 1310354 15724248 162512286 2275172004 27971176092 447538817472 | +| 55 | Eulerian:Alt | ColMiddle | A006551 | 1 1 -1 -4 11 66 -302 -2416 15619 156190 -1310354 -15724248 162512286 2275172004 -27971176092 | +| 56 | Eulerian:Alt | CentralE | A180056 | 1 -1 11 -302 15619 -1310354 162512286 -27971176092 6382798925475 -1865385657780650 | +| 57 | Eulerian:Alt | CentralO | A025585 | 1 -4 66 -2416 156190 -15724248 2275172004 -447538817472 114890380658550 -37307713155613000 | +| 58 | Eulerian:Alt | BinConv | A344052 | 1 1 -1 -8 19 276 -1002 -21216 103395 2881180 -17620142 -609297072 4483215086 185182296040 | +| 59 | Eulerian:Alt | InvBinConv | A011818 | 1 -1 3 -16 115 -1056 11774 -154624 2337507 -39984640 763546234 -16101629952 371644257582 | +| 60 | Eulerian:Alt | TransNat0 | missing | 0 0 -1 -2 8 32 -136 -816 3968 31744 -176896 -1768960 11184128 134209536 -951878656 -13326301184 | +| 61 | Eulerian:Alt | TransNat1 | missing | 1 1 -1 -4 8 48 -136 -1088 3968 39680 -176896 -2122752 11184128 156577792 -951878656 -15230058496 | +| 62 | Eulerian:Alt | TransSqrs | missing | 0 0 -1 0 24 20 -680 -1008 27776 58368 -1592064 -4314112 123025408 407606784 -12374422528 | +| 63 | Eulerian:Alt | PosHalf | A179929 | 1 2 2 -6 -30 42 882 954 -39870 -203958 2300562 29677914 -120958110 -4657703958 -7059175758 | +| 64 | Eulerian:Alt | NegHalf | A000629 | 1 -2 6 -26 150 -1082 9366 -94586 1091670 -14174522 204495126 -3245265146 56183135190 -1053716696762 | +| 65 | Eulerian:Alt | DiagRow2 | A125128 | 1 -4 11 -26 57 -120 247 -502 1013 -2036 4083 -8178 16369 -32752 65519 -131054 262125 -524268 | +| 66 | Eulerian:Alt | DiagRow3 | A000460 | 1 -11 66 -302 1191 -4293 14608 -47840 152637 -478271 1479726 -4537314 13824739 -41932745 126781020 | +| 67 | Eulerian:Alt | DiagCol1 | A125128 | 0 -1 -4 -11 -26 -57 -120 -247 -502 -1013 -2036 -4083 -8178 -16369 -32752 -65519 -131054 -262125 | +| 68 | Eulerian:Alt | DiagCol2 | A000460 | 0 1 11 66 302 1191 4293 14608 47840 152637 478271 1479726 4537314 13824739 41932745 126781020 | +| 69 | Eulerian:Alt | DiagCol3 | A066912 | 0 -1 -26 -302 -2416 -15619 -88234 -455192 -2203488 -10187685 -45533450 -198410786 -848090912 | +| 70 | Eulerian:Alt | Poly | A124341 | 1 1 1 1 1 1 1 0 1 1 1 -2 -1 1 1 1 0 -3 -2 1 1 1 16 15 -2 -3 1 1 1 0 21 40 1 -4 1 1 1 -272 -441 -104 | +| 71 | Eulerian:Alt | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 72 | Eulerian:Alt | PolyRow3 | B123968 | 1 -2 -3 -2 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 673 | +| 73 | Eulerian:Alt | PolyCol2 | A087674 | 1 1 -1 -3 15 21 -441 477 19935 -101979 -1150281 14838957 60479055 -2328851979 3529587879 | +| 74 | Eulerian:Alt | PolyCol3 | A210246 | 1 1 -2 -2 40 -104 -1232 13168 16000 -1483904 9695488 151161088 -3287997440 -146760704 866038110208 | +| 75 | Eulerian:Alt | PolyDiag | A180085 | 1 1 -1 -2 69 -1104 11395 189232 -21769335 1156775680 -41290278129 -136576564992 234678001445965 | +| 76 | Eulerian:Rev | Triangle | A085852 | 1 0 1 0 1 1 0 1 4 1 0 1 11 11 1 0 1 26 66 26 1 0 1 57 302 302 57 1 0 1 120 1191 2416 1191 120 1 0 1 | +| 77 | Eulerian:Rev | Inv | missing | 1 0 1 0 -1 1 0 3 -4 1 0 -23 33 -11 1 0 425 -620 220 -26 1 0 -18129 26525 -9520 1180 -57 1 0 1721419 | +| 78 | Eulerian:Rev | RevInv | missing | 1 1 0 1 -1 0 1 -4 3 0 1 -11 33 -23 0 1 -26 220 -620 425 0 1 -57 1180 -9520 26525 -18129 0 1 -120 | +| 79 | Eulerian:Rev | Acc | missing | 1 0 1 0 1 2 0 1 5 6 0 1 12 23 24 0 1 27 93 119 120 0 1 58 360 662 719 720 0 1 121 1312 3728 4919 | +| 80 | Eulerian:Rev | AccRev | missing | 1 1 1 1 2 2 1 5 6 6 1 12 23 24 24 1 27 93 119 120 120 1 58 360 662 719 720 720 1 121 1312 3728 4919 | +| 81 | Eulerian:Rev | AntiDiag | missing | 1 0 0 1 0 1 0 1 1 0 1 4 0 1 11 1 0 1 26 11 0 1 57 66 1 0 1 120 302 26 0 1 247 1191 302 1 0 1 502 | +| 82 | Eulerian:Rev | Diffx1 | missing | 1 0 2 0 2 3 0 2 12 4 0 2 33 44 5 0 2 78 264 130 6 0 2 171 1208 1510 342 7 0 2 360 4764 12080 7146 | +| 83 | Eulerian:Rev | RowSum | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 84 | Eulerian:Rev | EvenSum | B262745 | 1 0 1 4 12 52 360 2656 20160 177472 1814400 20135296 239500800 3102326272 43589145600 654789062656 | +| 85 | Eulerian:Rev | OddSum | B128103 | 0 1 1 2 12 68 360 2384 20160 185408 1814400 19781504 239500800 3124694528 43589145600 652885305344 | +| 86 | Eulerian:Rev | AltSum | A009006 | 1 -1 0 2 0 -16 0 272 0 -7936 0 353792 0 -22368256 0 1903757312 0 -209865342976 0 29088885112832 0 | +| 87 | Eulerian:Rev | DiagSum | B000800 | 1 0 1 1 2 5 13 38 125 449 1742 7269 32433 153850 772397 4088773 22746858 132601933 807880821 | +| 88 | Eulerian:Rev | AccSum | B001710 | 1 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 3113510400 43589145600 653837184000 | +| 89 | Eulerian:Rev | AccRevSum | A038720 | 1 2 5 18 84 480 3240 25200 221760 2177280 23587200 279417600 3592512000 49816166400 741015475200 | +| 90 | Eulerian:Rev | RowLcm | A180057 | 1 1 1 4 11 858 17214 14387280 16561934649 12632627296395920 1806607850839536160 | +| 91 | Eulerian:Rev | RowGcd | missing | 1 1 1 4 11 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 92 | Eulerian:Rev | RowMax | A006551 | 1 1 1 4 11 66 302 2416 15619 156190 1310354 15724248 162512286 2275172004 27971176092 447538817472 | +| 93 | Eulerian:Rev | ColMiddle | missing | 1 0 1 1 11 26 302 1191 15619 88234 1310354 9738114 162512286 1505621508 27971176092 311387598411 | +| 94 | Eulerian:Rev | CentralE | A180056 | 1 1 11 302 15619 1310354 162512286 27971176092 6382798925475 1865385657780650 679562217794156938 | +| 95 | Eulerian:Rev | CentralO | missing | 0 1 26 1191 88234 9738114 1505621508 311387598411 83137223185370 27862280567093358 | +| 96 | Eulerian:Rev | BinConv | A011818 | 1 1 3 16 115 1056 11774 154624 2337507 39984640 763546234 16101629952 371644257582 9319104528384 | +| 97 | Eulerian:Rev | InvBinConv | A344052 | 1 1 -1 -8 19 276 -1002 -21216 103395 2881180 -17620142 -609297072 4483215086 185182296040 | +| 98 | Eulerian:Rev | TransNat0 | B001710 | 0 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 3113510400 43589145600 653837184000 | +| 99 | Eulerian:Rev | TransNat1 | A038720 | 1 2 5 18 84 480 3240 25200 221760 2177280 23587200 279417600 3592512000 49816166400 741015475200 | +| 100 | Eulerian:Rev | TransSqrs | missing | 0 1 5 26 160 1140 9240 84000 846720 9374400 113097600 1476921600 20756736000 312388876800 | +| 101 | Eulerian:Rev | PosHalf | A000670 | 1 1 3 13 75 541 4683 47293 545835 7087261 102247563 1622632573 28091567595 526858348381 | +| 102 | Eulerian:Rev | NegHalf | A087674 | 1 1 -1 -3 15 21 -441 477 19935 -101979 -1150281 14838957 60479055 -2328851979 3529587879 | +| 103 | Eulerian:Rev | DiagRow1 | A125128 | 0 1 4 11 26 57 120 247 502 1013 2036 4083 8178 16369 32752 65519 131054 262125 524268 1048555 | +| 104 | Eulerian:Rev | DiagRow2 | A000460 | 0 1 11 66 302 1191 4293 14608 47840 152637 478271 1479726 4537314 13824739 41932745 126781020 | +| 105 | Eulerian:Rev | DiagRow3 | A066912 | 0 1 26 302 2416 15619 88234 455192 2203488 10187685 45533450 198410786 848090912 3572085255 | +| 106 | Eulerian:Rev | DiagCol2 | A125128 | 1 4 11 26 57 120 247 502 1013 2036 4083 8178 16369 32752 65519 131054 262125 524268 1048555 2097130 | +| 107 | Eulerian:Rev | DiagCol3 | A000460 | 1 11 66 302 1191 4293 14608 47840 152637 478271 1479726 4537314 13824739 41932745 126781020 | +| 108 | Eulerian:Rev | Poly | missing | 1 0 1 0 1 1 0 2 2 1 0 6 6 3 1 0 24 26 12 4 1 0 120 150 66 20 5 1 0 720 1082 480 132 30 6 1 0 5040 | +| 109 | Eulerian:Rev | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 110 | Eulerian:Rev | PolyRow2 | A002378 | 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | +| 111 | Eulerian:Rev | PolyRow3 | missing | 0 6 26 66 132 230 366 546 776 1062 1410 1826 2316 2886 3542 4290 5136 6086 7146 8322 9620 11046 | +| 112 | Eulerian:Rev | PolyCol2 | A000629 | 1 2 6 26 150 1082 9366 94586 1091670 14174522 204495126 3245265146 56183135190 1053716696762 | +| 113 | Eulerian:Rev | PolyCol3 | A123227 | 1 3 12 66 480 4368 47712 608016 8855040 145083648 2641216512 52891055616 1155444326400 | +| 114 | Eulerian:Rev | PolyDiag | A122020 | 1 1 6 66 1140 28280 948570 41173776 2238150600 148570107264 11804909261310 1104566746764800 | +| 115 | Eulerian:Rev:Inv | Triangle | missing | 1 0 1 0 -1 1 0 3 -4 1 0 -23 33 -11 1 0 425 -620 220 -26 1 0 -18129 26525 -9520 1180 -57 1 0 1721419 | +| 116 | Eulerian:Rev:Inv | Rev | missing | 1 1 0 1 -1 0 1 -4 3 0 1 -11 33 -23 0 1 -26 220 -620 425 0 1 -57 1180 -9520 26525 -18129 0 1 -120 | +| 117 | Eulerian:Rev:Inv | Inv | A085852 | 1 0 1 0 1 1 0 1 4 1 0 1 11 11 1 0 1 26 66 26 1 0 1 57 302 302 57 1 0 1 120 1191 2416 1191 120 1 0 1 | +| 118 | Eulerian:Rev:Inv | RevInv | A173018 | 1 1 0 1 1 0 1 4 1 0 1 11 11 1 0 1 26 66 26 1 0 1 57 302 302 57 1 0 1 120 1191 2416 1191 120 1 0 1 | +| 119 | Eulerian:Rev:Inv | Acc | missing | 1 0 1 0 -1 0 0 3 -1 0 0 -23 10 -1 0 0 425 -195 25 -1 0 0 -18129 8396 -1124 56 -1 0 0 1721419 | +| 120 | Eulerian:Rev:Inv | AccRev | missing | 1 1 1 1 0 0 1 -3 0 0 1 -10 23 0 0 1 -25 195 -425 0 0 1 -56 1124 -8396 18129 0 0 1 -119 5530 -107520 | +| 121 | Eulerian:Rev:Inv | AntiDiag | missing | 1 0 0 1 0 -1 0 3 1 0 -23 -4 0 425 33 1 0 -18129 -620 -11 0 1721419 26525 220 1 0 -353654167 | +| 122 | Eulerian:Rev:Inv | Diffx1 | missing | 1 0 2 0 -2 3 0 6 -12 4 0 -46 99 -44 5 0 850 -1860 880 -130 6 0 -36258 79575 -38080 5900 -342 7 0 | +| 123 | Eulerian:Rev:Inv | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 124 | Eulerian:Rev:Inv | EvenSum | missing | 1 0 1 -4 34 -646 27706 -2632834 540943894 -235440050206 213784986478426 -400496123507752834 | +| 125 | Eulerian:Rev:Inv | OddSum | missing | 0 1 -1 4 -34 646 -27706 2632834 -540943894 235440050206 -213784986478426 400496123507752834 | +| 126 | Eulerian:Rev:Inv | AltSum | missing | 1 -1 2 -8 68 -1292 55412 -5265668 1081887788 -470880100412 427569972956852 -800992247015505668 | +| 127 | Eulerian:Rev:Inv | DiagSum | missing | 1 0 1 -1 4 -27 459 -18760 1748165 -356183377 154441679984 -139991150863463 262035970469968235 | +| 128 | Eulerian:Rev:Inv | AccSum | missing | 1 1 -1 2 -14 254 -10802 1025282 -210628574 91672862654 -83241011160482 155940328618482242 | +| 129 | Eulerian:Rev:Inv | AccRevSum | missing | 1 2 1 -2 14 -254 10802 -1025282 210628574 -91672862654 83241011160482 -155940328618482242 | +| 130 | Eulerian:Rev:Inv | RowLcm | missing | 1 1 1 12 759 7536100 1026364915892400 261891765713181433200 | +| 131 | Eulerian:Rev:Inv | RowMax | missing | 1 1 1 4 33 620 26525 2519664 517670461 225309742552 204586385695065 383263833094891100 | +| 132 | Eulerian:Rev:Inv | ColMiddle | missing | 1 0 -1 3 33 -620 -9520 905765 23248085 -10119247684 -461102826618 863812603482906 72133429144708470 | +| 133 | Eulerian:Rev:Inv | CentralE | missing | 1 -1 33 -9520 23248085 -461102826618 72133429144708470 -87969630451614365600718 | +| 134 | Eulerian:Rev:Inv | CentralO | missing | 0 3 -620 905765 -10119247684 863812603482906 -562517197939195769556 2804781888582977542701824505 | +| 135 | Eulerian:Rev:Inv | BinConv | missing | 1 1 -1 -2 63 -2004 116060 -13000196 2805402383 -1133051255552 797251531657020 -752227446454305678 | +| 136 | Eulerian:Rev:Inv | InvBinConv | missing | 1 1 3 22 335 10656 715092 100740872 29440294767 17641158624220 21478935357883652 | +| 137 | Eulerian:Rev:Inv | TransNat0 | missing | 0 1 1 -2 14 -254 10802 -1025282 210628574 -91672862654 83241011160482 -155940328618482242 | +| 138 | Eulerian:Rev:Inv | TransNat1 | missing | 1 2 1 -2 14 -254 10802 -1025282 210628574 -91672862654 83241011160482 -155940328618482242 | +| 139 | Eulerian:Rev:Inv | TransSqrs | missing | 0 1 3 -4 26 -466 19782 -1877198 385632634 -167840371410 152402794095350 -285505201096326190 | +| 140 | Eulerian:Rev:Inv | PosHalf | missing | 1 1 -1 5 -73 2669 -227281 43151765 -17730027673 15433466711549 -28027868889140641 | +| 141 | Eulerian:Rev:Inv | NegHalf | missing | 1 1 3 21 339 12693 1085523 206219541 84735988179 73760569610133 133952554990485843 | +| 142 | Eulerian:Rev:Inv | DiagRow1 | A125128 | 0 -1 -4 -11 -26 -57 -120 -247 -502 -1013 -2036 -4083 -8178 -16369 -32752 -65519 -131054 -262125 | +| 143 | Eulerian:Rev:Inv | DiagRow2 | missing | 0 3 33 220 1180 5649 25347 109386 460686 1909831 7834717 31911048 129328368 522292749 2103945543 | +| 144 | Eulerian:Rev:Inv | DiagRow3 | missing | 0 -23 -620 -9520 -113050 -1166221 -11059468 -99446730 -863536410 -7323539135 -61105126940 | +| 145 | Eulerian:Rev:Inv | DiagCol1 | B055326 | 1 -1 3 -23 425 -18129 1721419 -353654167 153923102577 -139765654884545 261831303051976691 | +| 146 | Eulerian:Rev:Inv | DiagCol2 | missing | 1 -4 33 -620 26525 -2519664 517670461 -225309742552 204586385695065 -383263833094891100 | +| 147 | Eulerian:Rev:Inv | DiagCol3 | missing | 1 -11 220 -9520 905765 -186123259 81009042744 -73558129319520 137800821538668585 | +| 148 | Eulerian:Rev:Inv | Poly | A060701 | 1 0 1 0 1 1 0 0 2 1 0 0 2 3 1 0 0 -2 6 4 1 0 0 14 0 12 5 1 0 0 -254 12 12 20 6 1 0 0 10802 -228 -12 | +| 149 | Eulerian:Rev:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 150 | Eulerian:Rev:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 151 | Eulerian:Rev:Inv | PolyRow3 | missing | 0 0 -2 0 12 40 90 168 280 432 630 880 1188 1560 2002 2520 3120 3808 4590 5472 6460 7560 8778 10120 | +| 152 | Eulerian:Rev:Inv | PolyCol2 | missing | 1 2 2 -2 14 -254 10802 -1025282 210628574 -91672862654 83241011160482 -155940328618482242 | +| 153 | Eulerian:Rev:Inv | PolyCol3 | missing | 1 3 6 0 12 -228 9756 -926700 190391172 -82865376468 75243648657756 -140958397763559660 | +| 154 | Eulerian:Rev:Inv | PolyDiag | missing | 1 1 2 0 -12 1000 -77490 9479148 -1840661368 407756323728 372685323181050 -2870310547784125820 | \ No newline at end of file diff --git a/data/md/Eulerian2.md b/data/md/Eulerian2.md index 57101e4..39418ef 100644 --- a/data/md/Eulerian2.md +++ b/data/md/Eulerian2.md @@ -1,78 +1,117 @@ -| | triangle | trait | anum | seq | -|---:|:--------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | Eulerian2:Std | Triangle | A340556 | 1 0 1 0 1 2 0 1 8 6 0 1 22 58 24 0 1 52 328 444 120 0 1 114 1452 4400 3708 720 0 1 240 5610 32120 | -| 1 | Eulerian2:Std | Rev | A163936 | 1 1 0 2 1 0 6 8 1 0 24 58 22 1 0 120 444 328 52 1 0 720 3708 4400 1452 114 1 0 5040 33984 58140 | -| 2 | Eulerian2:Std | Acc | missing | 1 0 1 0 1 3 0 1 9 15 0 1 23 81 105 0 1 53 381 825 945 0 1 115 1567 5967 9675 10395 0 1 241 5851 | -| 3 | Eulerian2:Std | AccRev | missing | 1 1 1 2 3 3 6 14 15 15 24 82 104 105 105 120 564 892 944 945 945 720 4428 8828 10280 10394 10395 | -| 4 | Eulerian2:Std | AntiDiag | missing | 1 0 0 1 0 1 0 1 2 0 1 8 0 1 22 6 0 1 52 58 0 1 114 328 24 0 1 240 1452 444 0 1 494 5610 4400 120 0 | -| 5 | Eulerian2:Std | Diffx1 | missing | 1 0 2 0 2 6 0 2 24 24 0 2 66 232 120 0 2 156 1312 2220 720 0 2 342 5808 22000 22248 5040 0 2 720 | -| 6 | Eulerian2:Std | RowSum | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | -| 7 | Eulerian2:Std | EvenSum | missing | 1 0 2 8 46 496 5234 66344 1021918 17237488 326501282 6884152712 158111581774 3951435085744 | -| 8 | Eulerian2:Std | OddSum | missing | 0 1 1 7 59 449 5161 68791 1005107 17221937 328227793 6865157863 158122561451 3954418494881 | -| 9 | Eulerian2:Std | AltSum | B001662 | 1 -1 1 1 -13 47 73 -2447 16811 15551 -1726511 18994849 -10979677 -2983409137 48421103257 | -| 10 | Eulerian2:Std | DiagSum | missing | 1 0 1 1 3 9 29 111 467 2137 10625 56783 323947 1963425 12585209 84977087 602402531 4470338673 | -| 11 | Eulerian2:Std | AccSum | A261898 | 1 1 4 25 210 2205 27720 405405 6756750 126351225 2618916300 59580345825 1475759335050 | -| 12 | Eulerian2:Std | AccRevSum | missing | 1 2 8 50 420 4410 55440 810810 13513500 252702450 5237832600 119160691650 2951518670100 | -| 13 | Eulerian2:Std | RowLcm | missing | 1 1 2 24 7656 2366520 852469200 308503863360 240006609023406825600 8842151410302701559591432000000 | -| 14 | Eulerian2:Std | RowGcd | missing | 1 1 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 | -| 15 | Eulerian2:Std | RowMax | A007347 | 1 1 2 8 58 444 4400 58140 785304 12440064 238904904 4642163952 101180433024 2549865473424 | -| 16 | Eulerian2:Std | ColMiddle | missing | 1 0 1 1 22 52 1452 5610 195800 1062500 44765000 314369720 15548960784 134323420224 7634832149392 | -| 17 | Eulerian2:Std | CentralE | A367369 | 1 1 22 1452 195800 44765000 15548960784 7634832149392 5036317938475648 4297211671488276816 | -| 18 | Eulerian2:Std | CentralO | missing | 0 1 52 5610 1062500 314369720 134323420224 78391384831312 59958264360283168 58222825873768855728 | -| 19 | Eulerian2:Std | ColRight | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 20 | Eulerian2:Std | BinConv | missing | 1 1 4 33 392 6145 119724 2789465 75660080 2341894185 81464695900 3146287488729 133588851589368 | -| 21 | Eulerian2:Std | InvBinConv | missing | 1 1 0 -15 -80 665 17136 55209 -4162752 -83069415 626654600 62101020553 812999167344 -36896508029199 | -| 22 | Eulerian2:Std | TransNat0 | A051577 | 0 1 5 35 315 3465 45045 675675 11486475 218243025 4583103525 105411381075 2635284526875 | -| 23 | Eulerian2:Std | TransNat1 | missing | 1 2 8 50 420 4410 55440 810810 13513500 252702450 5237832600 119160691650 2951518670100 | -| 24 | Eulerian2:Std | TransSqrs | missing | 0 1 9 87 995 13265 202545 3489255 66981915 1418241825 32839832025 825613363575 22397626926675 | -| 25 | Eulerian2:Std | PosHalf | B000311 | 1 1 4 26 236 2752 39208 660032 12818912 282137824 6939897856 188666182784 5617349020544 | -| 26 | Eulerian2:Std | NegHalf | A341106 | 1 1 0 -6 -12 144 1080 -5184 -127008 -95904 19077120 154929024 -3210337152 -70284900096 391453171200 | -| 27 | Eulerian2:Std | DiagRow1 | A002538 | 0 1 8 58 444 3708 33984 341136 3733920 44339040 568356480 7827719040 115336085760 1810992556800 | -| 28 | Eulerian2:Std | DiagRow2 | A002539 | 0 1 22 328 4400 58140 785304 11026296 162186912 2507481216 40788301824 697929436800 12550904017920 | -| 29 | Eulerian2:Std | DiagRow3 | A112008 | 0 1 52 1452 32120 644020 12440064 238904904 4642163952 92199790224 1883079661824 39689578055808 | -| 30 | Eulerian2:Std | DiagCol2 | B005803 | 2 8 22 52 114 240 494 1004 2026 4072 8166 16356 32738 65504 131038 262108 524250 1048536 2097110 | -| 31 | Eulerian2:Std | DiagCol3 | B004301 | 6 58 328 1452 5610 19950 67260 218848 695038 2170626 6699696 20507988 62407890 189123286 571432036 | -| 32 | Eulerian2:Std | Poly | A321964 | 1 0 1 0 1 1 0 3 2 1 0 15 10 3 1 0 105 82 21 4 1 0 945 938 237 36 5 1 0 10395 13778 3711 516 55 6 1 | -| 33 | Eulerian2:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 34 | Eulerian2:Std | PolyRow2 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | -| 35 | Eulerian2:Std | PolyRow3 | missing | 0 15 82 237 516 955 1590 2457 3592 5031 6810 8965 11532 14547 18046 22065 26640 31807 37602 44061 | -| 36 | Eulerian2:Std | PolyCol2 | A112487 | 1 2 10 82 938 13778 247210 5240338 128149802 3551246162 109979486890 3764281873042 141104799067178 | -| 37 | Eulerian2:Std | PolyCol3 | missing | 1 3 21 237 3711 74451 1822557 52680189 1755990327 66313036227 2798166464229 130478035336653 | -| 38 | Eulerian2:Std | PolyDiag | missing | 1 1 10 237 10212 694805 68445870 9205055433 1619649615752 361017218715561 99394667604650610 | -| 39 | Eulerian2:Rev | Triangle | A163936 | 1 1 0 2 1 0 6 8 1 0 24 58 22 1 0 120 444 328 52 1 0 720 3708 4400 1452 114 1 0 5040 33984 58140 | -| 40 | Eulerian2:Rev | Acc | missing | 1 1 1 2 3 3 6 14 15 15 24 82 104 105 105 120 564 892 944 945 945 720 4428 8828 10280 10394 10395 | -| 41 | Eulerian2:Rev | AccRev | missing | 1 0 1 0 1 3 0 1 9 15 0 1 23 81 105 0 1 53 381 825 945 0 1 115 1567 5967 9675 10395 0 1 241 5851 | -| 42 | Eulerian2:Rev | AntiDiag | missing | 1 1 2 0 6 1 24 8 0 120 58 1 720 444 22 0 5040 3708 328 1 40320 33984 4400 52 0 362880 341136 58140 | -| 43 | Eulerian2:Rev | Diffx1 | missing | 1 1 0 2 2 0 6 16 3 0 24 116 66 4 0 120 888 984 208 5 0 720 7416 13200 5808 570 6 0 5040 67968 | -| 44 | Eulerian2:Rev | RowSum | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | -| 45 | Eulerian2:Rev | EvenSum | missing | 1 1 2 7 46 449 5234 68791 1021918 17221937 326501282 6865157863 158111581774 3954418494881 | -| 46 | Eulerian2:Rev | OddSum | missing | 0 0 1 8 59 496 5161 66344 1005107 17237488 328227793 6884152712 158122561451 3951435085744 | -| 47 | Eulerian2:Rev | AltSum | B001662 | 1 1 1 -1 -13 -47 73 2447 16811 -15551 -1726511 -18994849 -10979677 2983409137 48421103257 | -| 48 | Eulerian2:Rev | DiagSum | missing | 1 1 2 7 32 179 1186 9077 78756 763609 8180258 95931767 1222181096 16806911411 248101263114 | -| 49 | Eulerian2:Rev | AccSum | missing | 1 2 8 50 420 4410 55440 810810 13513500 252702450 5237832600 119160691650 2951518670100 | -| 50 | Eulerian2:Rev | AccRevSum | A261898 | 1 1 4 25 210 2205 27720 405405 6756750 126351225 2618916300 59580345825 1475759335050 | -| 51 | Eulerian2:Rev | RowLcm | missing | 1 1 2 24 7656 2366520 852469200 308503863360 240006609023406825600 8842151410302701559591432000000 | -| 52 | Eulerian2:Rev | RowGcd | missing | 1 1 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 | -| 53 | Eulerian2:Rev | RowMax | A007347 | 1 1 2 8 58 444 4400 58140 785304 12440064 238904904 4642163952 101180433024 2549865473424 | -| 54 | Eulerian2:Rev | ColMiddle | missing | 1 1 1 8 22 328 1452 32120 195800 5765500 44765000 1648384304 15548960784 687720046384 7634832149392 | -| 55 | Eulerian2:Rev | CentralE | A367369 | 1 1 22 1452 195800 44765000 15548960784 7634832149392 5036317938475648 4297211671488276816 | -| 56 | Eulerian2:Rev | CentralO | missing | 1 8 328 32120 5765500 1648384304 687720046384 394365587815520 297593170417847920 | -| 57 | Eulerian2:Rev | ColLeft | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 58 | Eulerian2:Rev | BinConv | missing | 1 1 4 33 392 6145 119724 2789465 75660080 2341894185 81464695900 3146287488729 133588851589368 | -| 59 | Eulerian2:Rev | InvBinConv | missing | 1 -1 0 15 -80 -665 17136 -55209 -4162752 83069415 626654600 -62101020553 812999167344 | -| 60 | Eulerian2:Rev | TransNat0 | B000457 | 0 0 1 10 105 1260 17325 270270 4729725 91891800 1964187225 45831035250 1159525191825 31623414322500 | -| 61 | Eulerian2:Rev | TransNat1 | A261898 | 1 1 4 25 210 2205 27720 405405 6756750 126351225 2618916300 59580345825 1475759335050 | -| 62 | Eulerian2:Rev | TransSqrs | missing | 0 0 1 12 155 2240 36225 651420 12927915 281080800 6650669025 170229559500 4688514906075 | -| 63 | Eulerian2:Rev | PosHalf | A112487 | 1 2 10 82 938 13778 247210 5240338 128149802 3551246162 109979486890 3764281873042 141104799067178 | -| 64 | Eulerian2:Rev | NegHalf | missing | 1 -2 6 -18 6 846 -13338 139374 -717498 -13142898 548192934 -11698830162 151948973574 415271462094 | -| 65 | Eulerian2:Rev | DiagRow2 | B005803 | 2 8 22 52 114 240 494 1004 2026 4072 8166 16356 32738 65504 131038 262108 524250 1048536 2097110 | -| 66 | Eulerian2:Rev | DiagRow3 | B004301 | 6 58 328 1452 5610 19950 67260 218848 695038 2170626 6699696 20507988 62407890 189123286 571432036 | -| 67 | Eulerian2:Rev | DiagCol1 | A002538 | 0 1 8 58 444 3708 33984 341136 3733920 44339040 568356480 7827719040 115336085760 1810992556800 | -| 68 | Eulerian2:Rev | DiagCol2 | A002539 | 0 1 22 328 4400 58140 785304 11026296 162186912 2507481216 40788301824 697929436800 12550904017920 | -| 69 | Eulerian2:Rev | DiagCol3 | A112008 | 0 1 52 1452 32120 644020 12440064 238904904 4642163952 92199790224 1883079661824 39689578055808 | -| 70 | Eulerian2:Rev | Poly | missing | 1 1 1 2 1 1 6 3 1 1 24 15 4 1 1 120 105 26 5 1 1 720 945 236 39 6 1 1 5040 10395 2752 423 54 7 1 1 | -| 71 | Eulerian2:Rev | PolyRow2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | -| 72 | Eulerian2:Rev | PolyRow3 | missing | 6 15 26 39 54 71 90 111 134 159 186 215 246 279 314 351 390 431 474 519 566 615 666 719 774 831 890 | -| 73 | Eulerian2:Rev | PolyCol2 | B000311 | 1 1 4 26 236 2752 39208 660032 12818912 282137824 6939897856 188666182784 5617349020544 | -| 74 | Eulerian2:Rev | PolyCol3 | missing | 1 1 5 39 423 5889 100125 2010951 46589967 1223110881 35883307125 1163450728359 41312822139063 | -| 75 | Eulerian2:Rev | PolyDiag | missing | 1 1 4 39 672 17665 650520 31729887 1970081792 151152782049 14003884454400 1538038294455575 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:--------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | Eulerian2:Std | Triangle | A340556 | 1 0 1 0 1 2 0 1 8 6 0 1 22 58 24 0 1 52 328 444 120 0 1 114 1452 4400 3708 720 0 1 240 5610 32120 | +| 1 | Eulerian2:Std | Rev | A163936 | 1 1 0 2 1 0 6 8 1 0 24 58 22 1 0 120 444 328 52 1 0 720 3708 4400 1452 114 1 0 5040 33984 58140 | +| 2 | Eulerian2:Std | Acc | missing | 1 0 1 0 1 3 0 1 9 15 0 1 23 81 105 0 1 53 381 825 945 0 1 115 1567 5967 9675 10395 0 1 241 5851 | +| 3 | Eulerian2:Std | AccRev | missing | 1 1 1 2 3 3 6 14 15 15 24 82 104 105 105 120 564 892 944 945 945 720 4428 8828 10280 10394 10395 | +| 4 | Eulerian2:Std | AntiDiag | missing | 1 0 0 1 0 1 0 1 2 0 1 8 0 1 22 6 0 1 52 58 0 1 114 328 24 0 1 240 1452 444 0 1 494 5610 4400 120 0 | +| 5 | Eulerian2:Std | Diffx1 | missing | 1 0 2 0 2 6 0 2 24 24 0 2 66 232 120 0 2 156 1312 2220 720 0 2 342 5808 22000 22248 5040 0 2 720 | +| 6 | Eulerian2:Std | RowSum | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | +| 7 | Eulerian2:Std | EvenSum | missing | 1 0 2 8 46 496 5234 66344 1021918 17237488 326501282 6884152712 158111581774 3951435085744 | +| 8 | Eulerian2:Std | OddSum | missing | 0 1 1 7 59 449 5161 68791 1005107 17221937 328227793 6865157863 158122561451 3954418494881 | +| 9 | Eulerian2:Std | AltSum | B001662 | 1 -1 1 1 -13 47 73 -2447 16811 15551 -1726511 18994849 -10979677 -2983409137 48421103257 | +| 10 | Eulerian2:Std | DiagSum | missing | 1 0 1 1 3 9 29 111 467 2137 10625 56783 323947 1963425 12585209 84977087 602402531 4470338673 | +| 11 | Eulerian2:Std | AccSum | A261898 | 1 1 4 25 210 2205 27720 405405 6756750 126351225 2618916300 59580345825 1475759335050 | +| 12 | Eulerian2:Std | AccRevSum | missing | 1 2 8 50 420 4410 55440 810810 13513500 252702450 5237832600 119160691650 2951518670100 | +| 13 | Eulerian2:Std | RowLcm | missing | 1 1 2 24 7656 2366520 852469200 308503863360 240006609023406825600 8842151410302701559591432000000 | +| 14 | Eulerian2:Std | RowGcd | missing | 1 1 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 | +| 15 | Eulerian2:Std | RowMax | A007347 | 1 1 2 8 58 444 4400 58140 785304 12440064 238904904 4642163952 101180433024 2549865473424 | +| 16 | Eulerian2:Std | ColMiddle | missing | 1 0 1 1 22 52 1452 5610 195800 1062500 44765000 314369720 15548960784 134323420224 7634832149392 | +| 17 | Eulerian2:Std | CentralE | A367369 | 1 1 22 1452 195800 44765000 15548960784 7634832149392 5036317938475648 4297211671488276816 | +| 18 | Eulerian2:Std | CentralO | missing | 0 1 52 5610 1062500 314369720 134323420224 78391384831312 59958264360283168 58222825873768855728 | +| 19 | Eulerian2:Std | ColRight | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 20 | Eulerian2:Std | BinConv | missing | 1 1 4 33 392 6145 119724 2789465 75660080 2341894185 81464695900 3146287488729 133588851589368 | +| 21 | Eulerian2:Std | InvBinConv | missing | 1 1 0 -15 -80 665 17136 55209 -4162752 -83069415 626654600 62101020553 812999167344 -36896508029199 | +| 22 | Eulerian2:Std | TransNat0 | A051577 | 0 1 5 35 315 3465 45045 675675 11486475 218243025 4583103525 105411381075 2635284526875 | +| 23 | Eulerian2:Std | TransNat1 | missing | 1 2 8 50 420 4410 55440 810810 13513500 252702450 5237832600 119160691650 2951518670100 | +| 24 | Eulerian2:Std | TransSqrs | missing | 0 1 9 87 995 13265 202545 3489255 66981915 1418241825 32839832025 825613363575 22397626926675 | +| 25 | Eulerian2:Std | PosHalf | B000311 | 1 1 4 26 236 2752 39208 660032 12818912 282137824 6939897856 188666182784 5617349020544 | +| 26 | Eulerian2:Std | NegHalf | A341106 | 1 1 0 -6 -12 144 1080 -5184 -127008 -95904 19077120 154929024 -3210337152 -70284900096 391453171200 | +| 27 | Eulerian2:Std | DiagRow1 | A002538 | 0 1 8 58 444 3708 33984 341136 3733920 44339040 568356480 7827719040 115336085760 1810992556800 | +| 28 | Eulerian2:Std | DiagRow2 | A002539 | 0 1 22 328 4400 58140 785304 11026296 162186912 2507481216 40788301824 697929436800 12550904017920 | +| 29 | Eulerian2:Std | DiagRow3 | A112008 | 0 1 52 1452 32120 644020 12440064 238904904 4642163952 92199790224 1883079661824 39689578055808 | +| 30 | Eulerian2:Std | DiagCol2 | B005803 | 2 8 22 52 114 240 494 1004 2026 4072 8166 16356 32738 65504 131038 262108 524250 1048536 2097110 | +| 31 | Eulerian2:Std | DiagCol3 | B004301 | 6 58 328 1452 5610 19950 67260 218848 695038 2170626 6699696 20507988 62407890 189123286 571432036 | +| 32 | Eulerian2:Std | Poly | A321964 | 1 0 1 0 1 1 0 3 2 1 0 15 10 3 1 0 105 82 21 4 1 0 945 938 237 36 5 1 0 10395 13778 3711 516 55 6 1 | +| 33 | Eulerian2:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 34 | Eulerian2:Std | PolyRow2 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | +| 35 | Eulerian2:Std | PolyRow3 | missing | 0 15 82 237 516 955 1590 2457 3592 5031 6810 8965 11532 14547 18046 22065 26640 31807 37602 44061 | +| 36 | Eulerian2:Std | PolyCol2 | A112487 | 1 2 10 82 938 13778 247210 5240338 128149802 3551246162 109979486890 3764281873042 141104799067178 | +| 37 | Eulerian2:Std | PolyCol3 | missing | 1 3 21 237 3711 74451 1822557 52680189 1755990327 66313036227 2798166464229 130478035336653 | +| 38 | Eulerian2:Std | PolyDiag | missing | 1 1 10 237 10212 694805 68445870 9205055433 1619649615752 361017218715561 99394667604650610 | +| 39 | Eulerian2:Alt | Triangle | A340556 | 1 0 -1 0 -1 2 0 -1 8 -6 0 -1 22 -58 24 0 -1 52 -328 444 -120 0 -1 114 -1452 4400 -3708 720 0 -1 240 | +| 40 | Eulerian2:Alt | Rev | A163936 | 1 -1 0 2 -1 0 -6 8 -1 0 24 -58 22 -1 0 -120 444 -328 52 -1 0 720 -3708 4400 -1452 114 -1 0 -5040 | +| 41 | Eulerian2:Alt | Acc | missing | 1 0 -1 0 -1 1 0 -1 7 1 0 -1 21 -37 -13 0 -1 51 -277 167 47 0 -1 113 -1339 3061 -647 73 0 -1 239 | +| 42 | Eulerian2:Alt | AccRev | missing | 1 -1 -1 2 1 1 -6 2 1 1 24 -34 -12 -13 -13 -120 324 -4 48 47 47 720 -2988 1412 -40 74 73 73 -5040 | +| 43 | Eulerian2:Alt | AntiDiag | missing | 1 0 0 -1 0 -1 0 -1 2 0 -1 8 0 -1 22 -6 0 -1 52 -58 0 -1 114 -328 24 0 -1 240 -1452 444 0 -1 494 | +| 44 | Eulerian2:Alt | Diffx1 | missing | 1 0 -2 0 -2 6 0 -2 24 -24 0 -2 66 -232 120 0 -2 156 -1312 2220 -720 0 -2 342 -5808 22000 -22248 | +| 45 | Eulerian2:Alt | RowSum | B001662 | 1 -1 1 1 -13 47 73 -2447 16811 15551 -1726511 18994849 -10979677 -2983409137 48421103257 | +| 46 | Eulerian2:Alt | EvenSum | missing | 1 0 2 8 46 496 5234 66344 1021918 17237488 326501282 6884152712 158111581774 3951435085744 | +| 47 | Eulerian2:Alt | OddSum | missing | 0 -1 -1 -7 -59 -449 -5161 -68791 -1005107 -17221937 -328227793 -6865157863 -158122561451 | +| 48 | Eulerian2:Alt | AltSum | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | +| 49 | Eulerian2:Alt | DiagSum | missing | 1 0 -1 -1 1 7 15 -7 -191 -769 -837 9465 73145 237687 -345949 -9576439 -61788895 -151452665 | +| 50 | Eulerian2:Alt | AccSum | missing | 1 -1 0 7 -30 -13 1260 -9629 630 871031 -10360680 14987263 1486214730 -25702256197 91711734660 | +| 51 | Eulerian2:Alt | AccRevSum | missing | 1 -2 4 -2 -48 342 -676 -12394 167480 -699970 -10357452 231945774 -1639930208 -19048880858 | +| 52 | Eulerian2:Alt | RowLcm | missing | 1 1 2 24 7656 2366520 852469200 308503863360 240006609023406825600 8842151410302701559591432000000 | +| 53 | Eulerian2:Alt | RowGcd | missing | 1 1 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 | +| 54 | Eulerian2:Alt | RowMax | A007347 | 1 1 2 8 58 444 4400 58140 785304 12440064 238904904 4642163952 101180433024 2549865473424 | +| 55 | Eulerian2:Alt | ColMiddle | missing | 1 0 -1 -1 22 52 -1452 -5610 195800 1062500 -44765000 -314369720 15548960784 134323420224 | +| 56 | Eulerian2:Alt | CentralE | A367369 | 1 -1 22 -1452 195800 -44765000 15548960784 -7634832149392 5036317938475648 -4297211671488276816 | +| 57 | Eulerian2:Alt | CentralO | missing | 0 -1 52 -5610 1062500 -314369720 134323420224 -78391384831312 59958264360283168 | +| 58 | Eulerian2:Alt | ColRight | A000142 | 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | +| 59 | Eulerian2:Alt | BinConv | missing | 1 -1 0 15 -80 -665 17136 -55209 -4162752 83069415 626654600 -62101020553 812999167344 | +| 60 | Eulerian2:Alt | InvBinConv | missing | 1 -1 4 -33 392 -6145 119724 -2789465 75660080 -2341894185 81464695900 -3146287488729 | +| 61 | Eulerian2:Alt | TransNat0 | missing | 0 -1 3 -3 -35 295 -749 -9947 150669 -715521 -8630941 212950925 -1628950531 -16065471721 | +| 62 | Eulerian2:Alt | TransNat1 | missing | 1 -2 4 -2 -48 342 -676 -12394 167480 -699970 -10357452 231945774 -1639930208 -19048880858 | +| 63 | Eulerian2:Alt | TransSqrs | missing | 0 -1 7 -23 -51 1359 -8993 -12647 990485 -10607425 2037687 1746425673 -27717388195 68175251375 | +| 64 | Eulerian2:Alt | PosHalf | A341106 | 1 -1 0 6 -12 -144 1080 5184 -127008 95904 19077120 -154929024 -3210337152 70284900096 391453171200 | +| 65 | Eulerian2:Alt | NegHalf | B000311 | 1 -1 4 -26 236 -2752 39208 -660032 12818912 -282137824 6939897856 -188666182784 5617349020544 | +| 66 | Eulerian2:Alt | DiagRow1 | A002538 | 0 -1 8 -58 444 -3708 33984 -341136 3733920 -44339040 568356480 -7827719040 115336085760 | +| 67 | Eulerian2:Alt | DiagRow2 | A002539 | 0 -1 22 -328 4400 -58140 785304 -11026296 162186912 -2507481216 40788301824 -697929436800 | +| 68 | Eulerian2:Alt | DiagRow3 | A112008 | 0 -1 52 -1452 32120 -644020 12440064 -238904904 4642163952 -92199790224 1883079661824 | +| 69 | Eulerian2:Alt | DiagCol2 | B005803 | 2 8 22 52 114 240 494 1004 2026 4072 8166 16356 32738 65504 131038 262108 524250 1048536 2097110 | +| 70 | Eulerian2:Alt | DiagCol3 | B004301 | -6 -58 -328 -1452 -5610 -19950 -67260 -218848 -695038 -2170626 -6699696 -20507988 -62407890 | +| 71 | Eulerian2:Alt | Poly | missing | 1 0 1 0 -1 1 0 1 -2 1 0 1 6 -3 1 0 -13 -18 15 -4 1 0 47 6 -93 28 -5 1 0 73 846 573 -260 45 -6 1 0 | +| 72 | Eulerian2:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 73 | Eulerian2:Alt | PolyRow2 | A000384 | 0 1 6 15 28 45 66 91 120 153 190 231 276 325 378 435 496 561 630 703 780 861 946 1035 1128 1225 | +| 74 | Eulerian2:Alt | PolyRow3 | missing | 0 1 -18 -93 -260 -555 -1014 -1673 -2568 -3735 -5210 -7029 -9228 -11843 -14910 -18465 -22544 -27183 | +| 75 | Eulerian2:Alt | PolyCol2 | missing | 1 -2 6 -18 6 846 -13338 139374 -717498 -13142898 548192934 -11698830162 151948973574 415271462094 | +| 76 | Eulerian2:Alt | PolyCol3 | missing | 1 -3 15 -93 573 -1587 -57945 2076243 -50209563 993218397 -14021842305 -34362482493 13772318432973 | +| 77 | Eulerian2:Alt | PolyDiag | missing | 1 -1 6 -93 2780 -137205 10151778 -1054424441 146594602872 -26314931370825 5929536086954590 | +| 78 | Eulerian2:Rev | Triangle | A163936 | 1 1 0 2 1 0 6 8 1 0 24 58 22 1 0 120 444 328 52 1 0 720 3708 4400 1452 114 1 0 5040 33984 58140 | +| 79 | Eulerian2:Rev | Acc | missing | 1 1 1 2 3 3 6 14 15 15 24 82 104 105 105 120 564 892 944 945 945 720 4428 8828 10280 10394 10395 | +| 80 | Eulerian2:Rev | AccRev | missing | 1 0 1 0 1 3 0 1 9 15 0 1 23 81 105 0 1 53 381 825 945 0 1 115 1567 5967 9675 10395 0 1 241 5851 | +| 81 | Eulerian2:Rev | AntiDiag | missing | 1 1 2 0 6 1 24 8 0 120 58 1 720 444 22 0 5040 3708 328 1 40320 33984 4400 52 0 362880 341136 58140 | +| 82 | Eulerian2:Rev | Diffx1 | missing | 1 1 0 2 2 0 6 16 3 0 24 116 66 4 0 120 888 984 208 5 0 720 7416 13200 5808 570 6 0 5040 67968 | +| 83 | Eulerian2:Rev | RowSum | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | +| 84 | Eulerian2:Rev | EvenSum | missing | 1 1 2 7 46 449 5234 68791 1021918 17221937 326501282 6865157863 158111581774 3954418494881 | +| 85 | Eulerian2:Rev | OddSum | missing | 0 0 1 8 59 496 5161 66344 1005107 17237488 328227793 6884152712 158122561451 3951435085744 | +| 86 | Eulerian2:Rev | AltSum | B001662 | 1 1 1 -1 -13 -47 73 2447 16811 -15551 -1726511 -18994849 -10979677 2983409137 48421103257 | +| 87 | Eulerian2:Rev | DiagSum | missing | 1 1 2 7 32 179 1186 9077 78756 763609 8180258 95931767 1222181096 16806911411 248101263114 | +| 88 | Eulerian2:Rev | AccSum | missing | 1 2 8 50 420 4410 55440 810810 13513500 252702450 5237832600 119160691650 2951518670100 | +| 89 | Eulerian2:Rev | AccRevSum | A261898 | 1 1 4 25 210 2205 27720 405405 6756750 126351225 2618916300 59580345825 1475759335050 | +| 90 | Eulerian2:Rev | RowLcm | missing | 1 1 2 24 7656 2366520 852469200 308503863360 240006609023406825600 8842151410302701559591432000000 | +| 91 | Eulerian2:Rev | RowGcd | missing | 1 1 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2 2 | +| 92 | Eulerian2:Rev | RowMax | A007347 | 1 1 2 8 58 444 4400 58140 785304 12440064 238904904 4642163952 101180433024 2549865473424 | +| 93 | Eulerian2:Rev | ColMiddle | missing | 1 1 1 8 22 328 1452 32120 195800 5765500 44765000 1648384304 15548960784 687720046384 7634832149392 | +| 94 | Eulerian2:Rev | CentralE | A367369 | 1 1 22 1452 195800 44765000 15548960784 7634832149392 5036317938475648 4297211671488276816 | +| 95 | Eulerian2:Rev | CentralO | missing | 1 8 328 32120 5765500 1648384304 687720046384 394365587815520 297593170417847920 | +| 96 | Eulerian2:Rev | ColLeft | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 97 | Eulerian2:Rev | BinConv | missing | 1 1 4 33 392 6145 119724 2789465 75660080 2341894185 81464695900 3146287488729 133588851589368 | +| 98 | Eulerian2:Rev | InvBinConv | missing | 1 -1 0 15 -80 -665 17136 -55209 -4162752 83069415 626654600 -62101020553 812999167344 | +| 99 | Eulerian2:Rev | TransNat0 | B000457 | 0 0 1 10 105 1260 17325 270270 4729725 91891800 1964187225 45831035250 1159525191825 31623414322500 | +| 100 | Eulerian2:Rev | TransNat1 | A261898 | 1 1 4 25 210 2205 27720 405405 6756750 126351225 2618916300 59580345825 1475759335050 | +| 101 | Eulerian2:Rev | TransSqrs | missing | 0 0 1 12 155 2240 36225 651420 12927915 281080800 6650669025 170229559500 4688514906075 | +| 102 | Eulerian2:Rev | PosHalf | A112487 | 1 2 10 82 938 13778 247210 5240338 128149802 3551246162 109979486890 3764281873042 141104799067178 | +| 103 | Eulerian2:Rev | NegHalf | missing | 1 -2 6 -18 6 846 -13338 139374 -717498 -13142898 548192934 -11698830162 151948973574 415271462094 | +| 104 | Eulerian2:Rev | DiagRow2 | B005803 | 2 8 22 52 114 240 494 1004 2026 4072 8166 16356 32738 65504 131038 262108 524250 1048536 2097110 | +| 105 | Eulerian2:Rev | DiagRow3 | B004301 | 6 58 328 1452 5610 19950 67260 218848 695038 2170626 6699696 20507988 62407890 189123286 571432036 | +| 106 | Eulerian2:Rev | DiagCol1 | A002538 | 0 1 8 58 444 3708 33984 341136 3733920 44339040 568356480 7827719040 115336085760 1810992556800 | +| 107 | Eulerian2:Rev | DiagCol2 | A002539 | 0 1 22 328 4400 58140 785304 11026296 162186912 2507481216 40788301824 697929436800 12550904017920 | +| 108 | Eulerian2:Rev | DiagCol3 | A112008 | 0 1 52 1452 32120 644020 12440064 238904904 4642163952 92199790224 1883079661824 39689578055808 | +| 109 | Eulerian2:Rev | Poly | missing | 1 1 1 2 1 1 6 3 1 1 24 15 4 1 1 120 105 26 5 1 1 720 945 236 39 6 1 1 5040 10395 2752 423 54 7 1 1 | +| 110 | Eulerian2:Rev | PolyRow2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | +| 111 | Eulerian2:Rev | PolyRow3 | missing | 6 15 26 39 54 71 90 111 134 159 186 215 246 279 314 351 390 431 474 519 566 615 666 719 774 831 890 | +| 112 | Eulerian2:Rev | PolyCol2 | B000311 | 1 1 4 26 236 2752 39208 660032 12818912 282137824 6939897856 188666182784 5617349020544 | +| 113 | Eulerian2:Rev | PolyCol3 | missing | 1 1 5 39 423 5889 100125 2010951 46589967 1223110881 35883307125 1163450728359 41312822139063 | +| 114 | Eulerian2:Rev | PolyDiag | missing | 1 1 4 39 672 17665 650520 31729887 1970081792 151152782049 14003884454400 1538038294455575 | \ No newline at end of file diff --git a/data/md/EulerianB.md b/data/md/EulerianB.md index d3a0ed6..f28cc29 100644 --- a/data/md/EulerianB.md +++ b/data/md/EulerianB.md @@ -42,81 +42,123 @@ | 39 | EulerianB:Std | PolyCol2 | A080253 | 1 3 17 147 1697 24483 423857 8560947 197613377 5131725123 148070287697 4699645934547 | | 40 | EulerianB:Std | PolyCol3 | missing | 1 4 28 304 4432 80704 1763008 44932864 1308788992 42887209984 1561504857088 62539090407424 | | 41 | EulerianB:Std | PolyDiag | missing | 1 2 17 304 9105 404736 24794905 1992310272 202567930817 25354445455360 3822552114728481 | -| 42 | EulerianB:Inv | Triangle | A171273 | 1 -1 1 5 -6 1 -93 115 -23 1 5993 -7436 1518 -76 1 -1272089 1578757 -322762 16330 -237 1 857402029 | -| 43 | EulerianB:Inv | Rev | missing | 1 1 -1 1 -6 5 1 -23 115 -93 1 -76 1518 -7436 5993 1 -237 16330 -322762 1578757 -1272089 1 -722 | -| 44 | EulerianB:Inv | RevInv | A060187 | 1 1 1 1 6 1 1 23 23 1 1 76 230 76 1 1 237 1682 1682 237 1 1 722 10543 23548 10543 722 1 1 2179 | -| 45 | EulerianB:Inv | Acc | missing | 1 -1 0 5 -1 0 -93 22 -1 0 5993 -1443 75 -1 0 -1272089 306668 -16094 236 -1 0 857402029 -206708261 | -| 46 | EulerianB:Inv | AccRev | missing | 1 1 0 1 -5 0 1 -22 93 0 1 -75 1443 -5993 0 1 -236 16094 -306668 1272089 0 1 -721 159850 -10852690 | -| 47 | EulerianB:Inv | AntiDiag | missing | 1 -1 5 1 -93 -6 5993 115 1 -1272089 -7436 -23 857402029 1578757 1518 1 -1792650585525 -1064110290 | -| 48 | EulerianB:Inv | Diffx1 | missing | 1 -1 2 5 -12 3 -93 230 -69 4 5993 -14872 4554 -304 5 -1272089 3157514 -968286 65320 -1185 6 | -| 49 | EulerianB:Inv | EvenSum | missing | 1 -1 6 -116 7512 -1595088 1075123552 -2247862240064 14375398946243968 -278882441653319691520 | -| 50 | EulerianB:Inv | OddSum | missing | 0 1 -6 116 -7512 1595088 -1075123552 2247862240064 -14375398946243968 278882441653319691520 | -| 51 | EulerianB:Inv | AltSum | missing | 1 -2 12 -232 15024 -3190176 2150247104 -4495724480128 28750797892487936 -557764883306639383040 | -| 52 | EulerianB:Inv | DiagSum | missing | 1 -1 6 -99 6109 -1279548 858982305 -1793715018653 11466480607396746 -222420548759232277467 | -| 53 | EulerianB:Inv | AccSum | missing | 1 -1 4 -72 4624 -981280 661387328 -1382823986304 8843356107415808 -171560925204217369088 | -| 54 | EulerianB:Inv | AccRevSum | missing | 1 1 -4 72 -4624 981280 -661387328 1382823986304 -8843356107415808 171560925204217369088 | -| 55 | EulerianB:Inv | RowLcm | missing | 1 1 30 10695 4494102756 1254352845580753602413730 383972367241177062317562280537759735980 | -| 56 | EulerianB:Inv | RowMax | missing | 1 1 6 115 7436 1578757 1064110290 2224835452407 14228139328931096 276025608122908733321 | -| 57 | EulerianB:Inv | ColMiddle | missing | 1 -1 -6 115 1518 -322762 -11012540 23025275075 2147290464886 -41657391444153086 | -| 58 | EulerianB:Inv | CentralE | missing | 1 -6 1518 -11012540 2147290464886 -10991486289326969076 1481130305191078491484585996 | -| 59 | EulerianB:Inv | CentralO | missing | -1 115 -322762 23025275075 -41657391444153086 1938226040820344383545710 | -| 60 | EulerianB:Inv | ColLeft | missing | 1 -1 5 -93 5993 -1272089 857402029 -1792650585525 11464255554367057 -222406320165016449457 | -| 61 | EulerianB:Inv | BinConv | missing | 1 0 -6 184 -14946 3556192 -2481692012 5022968503216 -29005196474209354 464916499650379529856 | -| 62 | EulerianB:Inv | InvBinConv | missing | 1 2 18 508 45150 12557980 10728141732 27736560614136 215138109927100854 4983508243569886816364 | -| 63 | EulerianB:Inv | TransNat0 | missing | 0 1 -4 72 -4624 981280 -661387328 1382823986304 -8843356107415808 171560925204217369088 | -| 64 | EulerianB:Inv | TransNat1 | missing | 1 1 -4 72 -4624 981280 -661387328 1382823986304 -8843356107415808 171560925204217369088 | -| 65 | EulerianB:Inv | TransSqrs | missing | 0 1 -2 32 -2032 430912 -290428224 607224836096 -3883289161550592 75335729243645856768 | -| 66 | EulerianB:Inv | PosHalf | missing | 1 -1 9 -329 42321 -17963985 24215716313 -101260109984153 1295145618525878177 | -| 67 | EulerianB:Inv | NegHalf | missing | 1 3 33 1251 161601 68614851 92494978401 386775868795299 4946973437912246913 | -| 68 | EulerianB:Inv | DiagRow1 | A060188 | -1 -6 -23 -76 -237 -722 -2179 -6552 -19673 -59038 -177135 -531428 -1594309 -4782954 -14348891 | -| 69 | EulerianB:Inv | DiagRow2 | missing | 5 115 1518 16330 160571 1512581 13945196 127141156 1152338433 10410993703 93897266810 846062060558 | -| 70 | EulerianB:Inv | DiagRow3 | missing | -93 -7436 -322762 -11012540 -335768223 -9673492136 -270538484020 -7446608913000 -203202094563809 | -| 71 | EulerianB:Inv | DiagCol1 | missing | 1 -6 115 -7436 1578757 -1064110290 2224835452407 -14228139328931096 276025608122908733321 | -| 72 | EulerianB:Inv | DiagCol2 | missing | 1 -23 1518 -322762 217560951 -454875884137 2908996087466828 -56434463826320585284 | -| 73 | EulerianB:Inv | DiagCol3 | missing | 1 -76 16330 -11012540 23025275075 -147249943814184 2856645864675796564 -167312402773377971746920 | -| 74 | EulerianB:Inv | Poly | missing | 1 -1 1 5 0 1 -93 0 1 1 5993 0 -3 2 1 -1272089 0 53 -4 3 1 857402029 0 -3399 72 -3 4 1 | -| 75 | EulerianB:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | -| 76 | EulerianB:Inv | PolyRow2 | missing | 5 0 -3 -4 -3 0 5 12 21 32 45 60 77 96 117 140 165 192 221 252 285 320 357 396 437 480 525 572 621 | -| 77 | EulerianB:Inv | PolyRow3 | missing | -93 0 53 72 63 32 -15 -72 -133 -192 -243 -280 -297 -288 -247 -168 -45 128 357 648 1007 1440 1953 | -| 78 | EulerianB:Inv | PolyCol2 | missing | 1 1 -3 53 -3399 721257 -486128971 1016394955037 -6499990316797327 126099677431081309393 | -| 79 | EulerianB:Inv | PolyCol3 | missing | 1 2 -4 72 -4624 981280 -661387328 1382823986304 -8843356107415808 171560925204217369088 | -| 80 | EulerianB:Inv | PolyDiag | missing | 1 0 -3 72 -4071 448896 128758285 -1391064478848 16904881967491217 -489248428395985776640 | -| 81 | EulerianB:Inv:Rev | Triangle | missing | 1 1 -1 1 -6 5 1 -23 115 -93 1 -76 1518 -7436 5993 1 -237 16330 -322762 1578757 -1272089 1 -722 | -| 82 | EulerianB:Inv:Rev | Rev | A171273 | 1 -1 1 5 -6 1 -93 115 -23 1 5993 -7436 1518 -76 1 -1272089 1578757 -322762 16330 -237 1 857402029 | -| 83 | EulerianB:Inv:Rev | InvRev | A060187 | 1 1 1 1 6 1 1 23 23 1 1 76 230 76 1 1 237 1682 1682 237 1 1 722 10543 23548 10543 722 1 1 2179 | -| 84 | EulerianB:Inv:Rev | Acc | missing | 1 1 0 1 -5 0 1 -22 93 0 1 -75 1443 -5993 0 1 -236 16094 -306668 1272089 0 1 -721 159850 -10852690 | -| 85 | EulerianB:Inv:Rev | AccRev | missing | 1 -1 0 5 -1 0 -93 22 -1 0 5993 -1443 75 -1 0 -1272089 306668 -16094 236 -1 0 857402029 -206708261 | -| 86 | EulerianB:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -6 1 -23 5 1 -76 115 1 -237 1518 -93 1 -722 16330 -7436 1 -2179 160571 -322762 5993 1 | -| 87 | EulerianB:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -12 15 1 -46 345 -372 1 -152 4554 -29744 29965 1 -474 48990 -1291048 7893785 -7632534 1 | -| 88 | EulerianB:Inv:Rev | EvenSum | missing | 1 1 6 116 7512 1595088 1075123552 2247862240064 14375398946243968 278882441653319691520 | -| 89 | EulerianB:Inv:Rev | OddSum | missing | 0 -1 -6 -116 -7512 -1595088 -1075123552 -2247862240064 -14375398946243968 -278882441653319691520 | -| 90 | EulerianB:Inv:Rev | AltSum | missing | 1 2 12 232 15024 3190176 2150247104 4495724480128 28750797892487936 557764883306639383040 | -| 91 | EulerianB:Inv:Rev | DiagSum | missing | 1 1 0 -5 -17 40 1189 8173 -158376 -7927753 -105553837 12414754768 1423885660057 35204301207977 | -| 92 | EulerianB:Inv:Rev | AccSum | missing | 1 1 -4 72 -4624 981280 -661387328 1382823986304 -8843356107415808 171560925204217369088 | -| 93 | EulerianB:Inv:Rev | AccRevSum | missing | 1 -1 4 -72 4624 -981280 661387328 -1382823986304 8843356107415808 -171560925204217369088 | -| 94 | EulerianB:Inv:Rev | RowLcm | missing | 1 1 30 10695 4494102756 1254352845580753602413730 383972367241177062317562280537759735980 | -| 95 | EulerianB:Inv:Rev | RowMax | missing | 1 1 6 115 7436 1578757 1064110290 2224835452407 14228139328931096 276025608122908733321 | -| 96 | EulerianB:Inv:Rev | ColMiddle | missing | 1 1 -6 -23 1518 16330 -11012540 -335768223 2147290464886 187665608020478 -10991486289326969076 | -| 97 | EulerianB:Inv:Rev | CentralE | missing | 1 -6 1518 -11012540 2147290464886 -10991486289326969076 1481130305191078491484585996 | -| 98 | EulerianB:Inv:Rev | CentralO | missing | 1 -23 16330 -335768223 187665608020478 -2794144125548953124662 1108172771490732215668663853876 | -| 99 | EulerianB:Inv:Rev | ColRight | missing | 1 -1 5 -93 5993 -1272089 857402029 -1792650585525 11464255554367057 -222406320165016449457 | -| 100 | EulerianB:Inv:Rev | BinConv | missing | 1 0 -6 184 -14946 3556192 -2481692012 5022968503216 -29005196474209354 464916499650379529856 | -| 101 | EulerianB:Inv:Rev | InvBinConv | missing | 1 -2 18 -508 45150 -12557980 10728141732 -27736560614136 215138109927100854 -4983508243569886816364 | -| 102 | EulerianB:Inv:Rev | TransNat0 | missing | 0 -1 4 -72 4624 -981280 661387328 -1382823986304 8843356107415808 -171560925204217369088 | -| 103 | EulerianB:Inv:Rev | TransNat1 | missing | 1 -1 4 -72 4624 -981280 661387328 -1382823986304 8843356107415808 -171560925204217369088 | -| 104 | EulerianB:Inv:Rev | TransSqrs | missing | 0 -1 14 -400 34960 -9381888 7646219712 -18752310972160 137610408557102336 -3012760924432266786816 | -| 105 | EulerianB:Inv:Rev | PosHalf | missing | 1 1 -3 53 -3399 721257 -486128971 1016394955037 -6499990316797327 126099677431081309393 | -| 106 | EulerianB:Inv:Rev | NegHalf | missing | 1 -3 21 -423 27561 -5855115 3946559037 -8251448061231 52769185205128017 -1023721099526827816467 | -| 107 | EulerianB:Inv:Rev | DiagRow1 | missing | 1 -6 115 -7436 1578757 -1064110290 2224835452407 -14228139328931096 276025608122908733321 | -| 108 | EulerianB:Inv:Rev | DiagRow2 | missing | 1 -23 1518 -322762 217560951 -454875884137 2908996087466828 -56434463826320585284 | -| 109 | EulerianB:Inv:Rev | DiagRow3 | missing | 1 -76 16330 -11012540 23025275075 -147249943814184 2856645864675796564 -167312402773377971746920 | -| 110 | EulerianB:Inv:Rev | DiagCol1 | A060188 | -1 -6 -23 -76 -237 -722 -2179 -6552 -19673 -59038 -177135 -531428 -1594309 -4782954 -14348891 | -| 111 | EulerianB:Inv:Rev | DiagCol2 | missing | 5 115 1518 16330 160571 1512581 13945196 127141156 1152338433 10410993703 93897266810 846062060558 | -| 112 | EulerianB:Inv:Rev | DiagCol3 | missing | -93 -7436 -322762 -11012540 -335768223 -9673492136 -270538484020 -7446608913000 -203202094563809 | -| 113 | EulerianB:Inv:Rev | Poly | missing | 1 1 1 1 0 1 1 0 -1 1 1 0 9 -2 1 1 0 -329 28 -3 1 1 0 42321 -1544 57 -4 1 1 0 -17963985 298096 -4203 | -| 114 | EulerianB:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 115 | EulerianB:Inv:Rev | PolyRow2 | A135705 | 1 0 9 28 57 96 145 204 273 352 441 540 649 768 897 1036 1185 1344 1513 1692 1881 2080 2289 2508 | -| 116 | EulerianB:Inv:Rev | PolyRow3 | missing | 1 0 -329 -1544 -4203 -8864 -16085 -26424 -40439 -58688 -81729 -110120 -144419 -185184 -232973 | -| 117 | EulerianB:Inv:Rev | PolyCol2 | missing | 1 -1 9 -329 42321 -17963985 24215716313 -101260109984153 1295145618525878177 | -| 118 | EulerianB:Inv:Rev | PolyCol3 | missing | 1 -2 28 -1544 298096 -189806624 383793820096 -2407300630438016 46185090060715280128 | -| 119 | EulerianB:Inv:Rev | PolyDiag | missing | 1 0 9 -1544 1082289 -3028493184 32008013510065 -1222165105408418688 163257480439413162352193 | \ No newline at end of file +| 42 | EulerianB:Alt | Triangle | A060187 | 1 1 -1 1 -6 1 1 -23 23 -1 1 -76 230 -76 1 1 -237 1682 -1682 237 -1 1 -722 10543 -23548 10543 -722 1 | +| 43 | EulerianB:Alt | Rev | A060187 | 1 -1 1 1 -6 1 -1 23 -23 1 1 -76 230 -76 1 -1 237 -1682 1682 -237 1 1 -722 10543 -23548 10543 -722 1 | +| 44 | EulerianB:Alt | Inv | missing | 1 -1 1 -7 6 1 137 -115 -23 1 11945 -10044 -1978 76 1 -2588995 2177143 428418 -16330 -237 1 | +| 45 | EulerianB:Alt | RevInv | missing | 1 1 -1 1 6 -7 1 -23 -115 137 1 76 -1978 -10044 11945 1 -237 -16330 428418 2177143 -2588995 1 722 | +| 46 | EulerianB:Alt | InvRev | A171273 | 1 1 1 5 6 1 93 115 23 1 5993 7436 1518 76 1 1272089 1578757 322762 16330 237 1 857402029 1064110290 | +| 47 | EulerianB:Alt | Acc | missing | 1 1 0 1 -5 -4 1 -22 1 0 1 -75 155 79 80 1 -236 1446 -236 1 0 1 -721 9822 -13726 -3183 -3905 -3904 1 | +| 48 | EulerianB:Alt | AccRev | missing | 1 -1 0 1 -5 -4 -1 22 -1 0 1 -75 155 79 80 -1 236 -1446 236 -1 0 1 -721 9822 -13726 -3183 -3905 | +| 49 | EulerianB:Alt | AntiDiag | missing | 1 1 1 -1 1 -6 1 -23 1 1 -76 23 1 -237 230 -1 1 -722 1682 -76 1 -2179 10543 -1682 1 1 -6552 60657 | +| 50 | EulerianB:Alt | Diffx1 | missing | 1 1 -2 1 -12 3 1 -46 69 -4 1 -152 690 -304 5 1 -474 5046 -6728 1185 -6 1 -1444 31629 -94192 52715 | +| 51 | EulerianB:Alt | RowSum | missing | 1 0 -4 0 80 0 -3904 0 354560 0 -51733504 0 11070525440 0 -3266330312704 0 1270842139934720 0 | +| 52 | EulerianB:Alt | EvenSum | missing | 1 1 2 24 232 1920 21088 322560 5338240 92897280 1832078848 40874803200 986530539520 25505877196800 | +| 53 | EulerianB:Alt | OddSum | missing | 0 -1 -6 -24 -152 -1920 -24992 -322560 -4983680 -92897280 -1883812352 -40874803200 -975460014080 | +| 54 | EulerianB:Alt | AltSum | A000165 | 1 2 8 48 384 3840 46080 645120 10321920 185794560 3715891200 81749606400 1961990553600 | +| 55 | EulerianB:Alt | DiagSum | missing | 1 1 0 -5 -21 -52 -7 885 6684 30795 62759 -528984 -8154607 -65199719 -329601464 -183879397 | +| 56 | EulerianB:Alt | AccSum | missing | 1 1 -8 -20 240 976 -15616 -88640 1772800 12933376 -310401024 -2767631360 77493678080 816582578176 | +| 57 | EulerianB:Alt | AccRevSum | missing | 1 -1 -8 20 240 -976 -15616 88640 1772800 -12933376 -310401024 2767631360 77493678080 -816582578176 | +| 58 | EulerianB:Alt | RowLcm | missing | 1 1 6 23 8740 398634 89624229604 34328005245969 3371304106638422136 6508053348450890352622220 | +| 59 | EulerianB:Alt | RowGcd | missing | 1 1 6 23 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 60 | EulerianB:Alt | RowMax | A154420 | 1 1 6 23 230 1682 23548 259723 4675014 69413294 1527092468 28588019814 743288515164 16818059163492 | +| 61 | EulerianB:Alt | ColMiddle | A154420 | 1 1 -6 -23 230 1682 -23548 -259723 4675014 69413294 -1527092468 -28588019814 743288515164 | +| 62 | EulerianB:Alt | CentralE | B177043 | 1 -6 230 -23548 4675014 -1527092468 743288515164 -504541774904760 455522635895576646 | +| 63 | EulerianB:Alt | CentralO | missing | 1 -23 1682 -259723 69413294 -28588019814 16818059163492 -13397724585164019 13892023109165902550 | +| 64 | EulerianB:Alt | BinConv | missing | 1 0 -10 0 774 0 -163332 0 67364166 0 -45892468524 0 46687337311900 0 -66323461965129160 0 | +| 65 | EulerianB:Alt | InvBinConv | missing | 1 -2 14 -140 1990 -36012 795916 -20758712 624278342 -21265899980 809348930788 -34035791356008 | +| 66 | EulerianB:Alt | TransNat0 | missing | 0 -1 -4 20 160 -976 -11712 88640 1418240 -12933376 -258667520 2767631360 66423152640 -816582578176 | +| 67 | EulerianB:Alt | TransNat1 | missing | 1 -1 -8 20 240 -976 -15616 88640 1772800 -12933376 -310401024 2767631360 77493678080 -816582578176 | +| 68 | EulerianB:Alt | TransSqrs | missing | 0 -1 -2 60 176 -4880 -19808 620480 3237376 -116400384 -743696896 30443944960 230372478976 | +| 69 | EulerianB:Alt | PosHalf | missing | 1 1 -7 -39 177 3441 -2007 -514359 -2913183 107756001 1777832793 -25512663879 -1062285896943 | +| 70 | EulerianB:Alt | NegHalf | A080253 | 1 -3 17 -147 1697 -24483 423857 -8560947 197613377 -5131725123 148070287697 -4699645934547 | +| 71 | EulerianB:Alt | DiagRow1 | A060188 | 1 -6 23 -76 237 -722 2179 -6552 19673 -59038 177135 -531428 1594309 -4782954 14348891 -43046704 | +| 72 | EulerianB:Alt | DiagRow2 | A060189 | 1 -23 230 -1682 10543 -60657 331612 -1756340 9116141 -46702427 237231970 -1198382694 6031771195 | +| 73 | EulerianB:Alt | DiagRow3 | A060190 | 1 -76 1682 -23548 259723 -2485288 21707972 -178300904 1403080725 -10708911188 79944249686 | +| 74 | EulerianB:Alt | DiagCol1 | A060188 | -1 -6 -23 -76 -237 -722 -2179 -6552 -19673 -59038 -177135 -531428 -1594309 -4782954 -14348891 | +| 75 | EulerianB:Alt | DiagCol2 | A060189 | 1 23 230 1682 10543 60657 331612 1756340 9116141 46702427 237231970 1198382694 6031771195 | +| 76 | EulerianB:Alt | DiagCol3 | A060190 | -1 -76 -1682 -23548 -259723 -2485288 -21707972 -178300904 -1403080725 -10708911188 -79944249686 | +| 77 | EulerianB:Alt | Poly | missing | 1 1 1 1 0 1 1 -4 -1 1 1 0 -7 -2 1 1 80 39 -8 -3 1 1 0 177 112 -7 -4 1 1 -3904 -3441 -128 213 -4 -5 | +| 78 | EulerianB:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 79 | EulerianB:Alt | PolyRow2 | missing | 1 -4 -7 -8 -7 -4 1 8 17 28 41 56 73 92 113 136 161 188 217 248 281 316 353 392 433 476 521 568 617 | +| 80 | EulerianB:Alt | PolyRow3 | missing | 1 0 39 112 213 336 475 624 777 928 1071 1200 1309 1392 1443 1456 1425 1344 1207 1008 741 400 -21 | +| 81 | EulerianB:Alt | PolyCol2 | missing | 1 -1 -7 39 177 -3441 -2007 514359 -2913183 -107756001 1777832793 25512663879 -1062285896943 | +| 82 | EulerianB:Alt | PolyCol3 | missing | 1 -2 -8 112 -128 -12032 136192 1411072 -61964288 297730048 27497070592 -669206970368 -8227911630848 | +| 83 | EulerianB:Alt | PolyDiag | missing | 1 0 -7 112 -1231 -24384 3384961 -226461696 9665976897 323409295360 -167317061860279 | +| 84 | EulerianB:Inv | Triangle | A171273 | 1 -1 1 5 -6 1 -93 115 -23 1 5993 -7436 1518 -76 1 -1272089 1578757 -322762 16330 -237 1 857402029 | +| 85 | EulerianB:Inv | Rev | missing | 1 1 -1 1 -6 5 1 -23 115 -93 1 -76 1518 -7436 5993 1 -237 16330 -322762 1578757 -1272089 1 -722 | +| 86 | EulerianB:Inv | RevInv | A060187 | 1 1 1 1 6 1 1 23 23 1 1 76 230 76 1 1 237 1682 1682 237 1 1 722 10543 23548 10543 722 1 1 2179 | +| 87 | EulerianB:Inv | Acc | missing | 1 -1 0 5 -1 0 -93 22 -1 0 5993 -1443 75 -1 0 -1272089 306668 -16094 236 -1 0 857402029 -206708261 | +| 88 | EulerianB:Inv | AccRev | missing | 1 1 0 1 -5 0 1 -22 93 0 1 -75 1443 -5993 0 1 -236 16094 -306668 1272089 0 1 -721 159850 -10852690 | +| 89 | EulerianB:Inv | AntiDiag | missing | 1 -1 5 1 -93 -6 5993 115 1 -1272089 -7436 -23 857402029 1578757 1518 1 -1792650585525 -1064110290 | +| 90 | EulerianB:Inv | Diffx1 | missing | 1 -1 2 5 -12 3 -93 230 -69 4 5993 -14872 4554 -304 5 -1272089 3157514 -968286 65320 -1185 6 | +| 91 | EulerianB:Inv | EvenSum | missing | 1 -1 6 -116 7512 -1595088 1075123552 -2247862240064 14375398946243968 -278882441653319691520 | +| 92 | EulerianB:Inv | OddSum | missing | 0 1 -6 116 -7512 1595088 -1075123552 2247862240064 -14375398946243968 278882441653319691520 | +| 93 | EulerianB:Inv | AltSum | missing | 1 -2 12 -232 15024 -3190176 2150247104 -4495724480128 28750797892487936 -557764883306639383040 | +| 94 | EulerianB:Inv | DiagSum | missing | 1 -1 6 -99 6109 -1279548 858982305 -1793715018653 11466480607396746 -222420548759232277467 | +| 95 | EulerianB:Inv | AccSum | missing | 1 -1 4 -72 4624 -981280 661387328 -1382823986304 8843356107415808 -171560925204217369088 | +| 96 | EulerianB:Inv | AccRevSum | missing | 1 1 -4 72 -4624 981280 -661387328 1382823986304 -8843356107415808 171560925204217369088 | +| 97 | EulerianB:Inv | RowLcm | missing | 1 1 30 10695 4494102756 1254352845580753602413730 383972367241177062317562280537759735980 | +| 98 | EulerianB:Inv | RowMax | missing | 1 1 6 115 7436 1578757 1064110290 2224835452407 14228139328931096 276025608122908733321 | +| 99 | EulerianB:Inv | ColMiddle | missing | 1 -1 -6 115 1518 -322762 -11012540 23025275075 2147290464886 -41657391444153086 | +| 100 | EulerianB:Inv | CentralE | missing | 1 -6 1518 -11012540 2147290464886 -10991486289326969076 1481130305191078491484585996 | +| 101 | EulerianB:Inv | CentralO | missing | -1 115 -322762 23025275075 -41657391444153086 1938226040820344383545710 | +| 102 | EulerianB:Inv | ColLeft | missing | 1 -1 5 -93 5993 -1272089 857402029 -1792650585525 11464255554367057 -222406320165016449457 | +| 103 | EulerianB:Inv | BinConv | missing | 1 0 -6 184 -14946 3556192 -2481692012 5022968503216 -29005196474209354 464916499650379529856 | +| 104 | EulerianB:Inv | InvBinConv | missing | 1 2 18 508 45150 12557980 10728141732 27736560614136 215138109927100854 4983508243569886816364 | +| 105 | EulerianB:Inv | TransNat0 | missing | 0 1 -4 72 -4624 981280 -661387328 1382823986304 -8843356107415808 171560925204217369088 | +| 106 | EulerianB:Inv | TransNat1 | missing | 1 1 -4 72 -4624 981280 -661387328 1382823986304 -8843356107415808 171560925204217369088 | +| 107 | EulerianB:Inv | TransSqrs | missing | 0 1 -2 32 -2032 430912 -290428224 607224836096 -3883289161550592 75335729243645856768 | +| 108 | EulerianB:Inv | PosHalf | missing | 1 -1 9 -329 42321 -17963985 24215716313 -101260109984153 1295145618525878177 | +| 109 | EulerianB:Inv | NegHalf | missing | 1 3 33 1251 161601 68614851 92494978401 386775868795299 4946973437912246913 | +| 110 | EulerianB:Inv | DiagRow1 | A060188 | -1 -6 -23 -76 -237 -722 -2179 -6552 -19673 -59038 -177135 -531428 -1594309 -4782954 -14348891 | +| 111 | EulerianB:Inv | DiagRow2 | missing | 5 115 1518 16330 160571 1512581 13945196 127141156 1152338433 10410993703 93897266810 846062060558 | +| 112 | EulerianB:Inv | DiagRow3 | missing | -93 -7436 -322762 -11012540 -335768223 -9673492136 -270538484020 -7446608913000 -203202094563809 | +| 113 | EulerianB:Inv | DiagCol1 | missing | 1 -6 115 -7436 1578757 -1064110290 2224835452407 -14228139328931096 276025608122908733321 | +| 114 | EulerianB:Inv | DiagCol2 | missing | 1 -23 1518 -322762 217560951 -454875884137 2908996087466828 -56434463826320585284 | +| 115 | EulerianB:Inv | DiagCol3 | missing | 1 -76 16330 -11012540 23025275075 -147249943814184 2856645864675796564 -167312402773377971746920 | +| 116 | EulerianB:Inv | Poly | missing | 1 -1 1 5 0 1 -93 0 1 1 5993 0 -3 2 1 -1272089 0 53 -4 3 1 857402029 0 -3399 72 -3 4 1 | +| 117 | EulerianB:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 118 | EulerianB:Inv | PolyRow2 | missing | 5 0 -3 -4 -3 0 5 12 21 32 45 60 77 96 117 140 165 192 221 252 285 320 357 396 437 480 525 572 621 | +| 119 | EulerianB:Inv | PolyRow3 | missing | -93 0 53 72 63 32 -15 -72 -133 -192 -243 -280 -297 -288 -247 -168 -45 128 357 648 1007 1440 1953 | +| 120 | EulerianB:Inv | PolyCol2 | missing | 1 1 -3 53 -3399 721257 -486128971 1016394955037 -6499990316797327 126099677431081309393 | +| 121 | EulerianB:Inv | PolyCol3 | missing | 1 2 -4 72 -4624 981280 -661387328 1382823986304 -8843356107415808 171560925204217369088 | +| 122 | EulerianB:Inv | PolyDiag | missing | 1 0 -3 72 -4071 448896 128758285 -1391064478848 16904881967491217 -489248428395985776640 | +| 123 | EulerianB:Inv:Rev | Triangle | missing | 1 1 -1 1 -6 5 1 -23 115 -93 1 -76 1518 -7436 5993 1 -237 16330 -322762 1578757 -1272089 1 -722 | +| 124 | EulerianB:Inv:Rev | Rev | A171273 | 1 -1 1 5 -6 1 -93 115 -23 1 5993 -7436 1518 -76 1 -1272089 1578757 -322762 16330 -237 1 857402029 | +| 125 | EulerianB:Inv:Rev | InvRev | A060187 | 1 1 1 1 6 1 1 23 23 1 1 76 230 76 1 1 237 1682 1682 237 1 1 722 10543 23548 10543 722 1 1 2179 | +| 126 | EulerianB:Inv:Rev | Acc | missing | 1 1 0 1 -5 0 1 -22 93 0 1 -75 1443 -5993 0 1 -236 16094 -306668 1272089 0 1 -721 159850 -10852690 | +| 127 | EulerianB:Inv:Rev | AccRev | missing | 1 -1 0 5 -1 0 -93 22 -1 0 5993 -1443 75 -1 0 -1272089 306668 -16094 236 -1 0 857402029 -206708261 | +| 128 | EulerianB:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -6 1 -23 5 1 -76 115 1 -237 1518 -93 1 -722 16330 -7436 1 -2179 160571 -322762 5993 1 | +| 129 | EulerianB:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -12 15 1 -46 345 -372 1 -152 4554 -29744 29965 1 -474 48990 -1291048 7893785 -7632534 1 | +| 130 | EulerianB:Inv:Rev | EvenSum | missing | 1 1 6 116 7512 1595088 1075123552 2247862240064 14375398946243968 278882441653319691520 | +| 131 | EulerianB:Inv:Rev | OddSum | missing | 0 -1 -6 -116 -7512 -1595088 -1075123552 -2247862240064 -14375398946243968 -278882441653319691520 | +| 132 | EulerianB:Inv:Rev | AltSum | missing | 1 2 12 232 15024 3190176 2150247104 4495724480128 28750797892487936 557764883306639383040 | +| 133 | EulerianB:Inv:Rev | DiagSum | missing | 1 1 0 -5 -17 40 1189 8173 -158376 -7927753 -105553837 12414754768 1423885660057 35204301207977 | +| 134 | EulerianB:Inv:Rev | AccSum | missing | 1 1 -4 72 -4624 981280 -661387328 1382823986304 -8843356107415808 171560925204217369088 | +| 135 | EulerianB:Inv:Rev | AccRevSum | missing | 1 -1 4 -72 4624 -981280 661387328 -1382823986304 8843356107415808 -171560925204217369088 | +| 136 | EulerianB:Inv:Rev | RowLcm | missing | 1 1 30 10695 4494102756 1254352845580753602413730 383972367241177062317562280537759735980 | +| 137 | EulerianB:Inv:Rev | RowMax | missing | 1 1 6 115 7436 1578757 1064110290 2224835452407 14228139328931096 276025608122908733321 | +| 138 | EulerianB:Inv:Rev | ColMiddle | missing | 1 1 -6 -23 1518 16330 -11012540 -335768223 2147290464886 187665608020478 -10991486289326969076 | +| 139 | EulerianB:Inv:Rev | CentralE | missing | 1 -6 1518 -11012540 2147290464886 -10991486289326969076 1481130305191078491484585996 | +| 140 | EulerianB:Inv:Rev | CentralO | missing | 1 -23 16330 -335768223 187665608020478 -2794144125548953124662 1108172771490732215668663853876 | +| 141 | EulerianB:Inv:Rev | ColRight | missing | 1 -1 5 -93 5993 -1272089 857402029 -1792650585525 11464255554367057 -222406320165016449457 | +| 142 | EulerianB:Inv:Rev | BinConv | missing | 1 0 -6 184 -14946 3556192 -2481692012 5022968503216 -29005196474209354 464916499650379529856 | +| 143 | EulerianB:Inv:Rev | InvBinConv | missing | 1 -2 18 -508 45150 -12557980 10728141732 -27736560614136 215138109927100854 -4983508243569886816364 | +| 144 | EulerianB:Inv:Rev | TransNat0 | missing | 0 -1 4 -72 4624 -981280 661387328 -1382823986304 8843356107415808 -171560925204217369088 | +| 145 | EulerianB:Inv:Rev | TransNat1 | missing | 1 -1 4 -72 4624 -981280 661387328 -1382823986304 8843356107415808 -171560925204217369088 | +| 146 | EulerianB:Inv:Rev | TransSqrs | missing | 0 -1 14 -400 34960 -9381888 7646219712 -18752310972160 137610408557102336 -3012760924432266786816 | +| 147 | EulerianB:Inv:Rev | PosHalf | missing | 1 1 -3 53 -3399 721257 -486128971 1016394955037 -6499990316797327 126099677431081309393 | +| 148 | EulerianB:Inv:Rev | NegHalf | missing | 1 -3 21 -423 27561 -5855115 3946559037 -8251448061231 52769185205128017 -1023721099526827816467 | +| 149 | EulerianB:Inv:Rev | DiagRow1 | missing | 1 -6 115 -7436 1578757 -1064110290 2224835452407 -14228139328931096 276025608122908733321 | +| 150 | EulerianB:Inv:Rev | DiagRow2 | missing | 1 -23 1518 -322762 217560951 -454875884137 2908996087466828 -56434463826320585284 | +| 151 | EulerianB:Inv:Rev | DiagRow3 | missing | 1 -76 16330 -11012540 23025275075 -147249943814184 2856645864675796564 -167312402773377971746920 | +| 152 | EulerianB:Inv:Rev | DiagCol1 | A060188 | -1 -6 -23 -76 -237 -722 -2179 -6552 -19673 -59038 -177135 -531428 -1594309 -4782954 -14348891 | +| 153 | EulerianB:Inv:Rev | DiagCol2 | missing | 5 115 1518 16330 160571 1512581 13945196 127141156 1152338433 10410993703 93897266810 846062060558 | +| 154 | EulerianB:Inv:Rev | DiagCol3 | missing | -93 -7436 -322762 -11012540 -335768223 -9673492136 -270538484020 -7446608913000 -203202094563809 | +| 155 | EulerianB:Inv:Rev | Poly | missing | 1 1 1 1 0 1 1 0 -1 1 1 0 9 -2 1 1 0 -329 28 -3 1 1 0 42321 -1544 57 -4 1 1 0 -17963985 298096 -4203 | +| 156 | EulerianB:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 157 | EulerianB:Inv:Rev | PolyRow2 | A135705 | 1 0 9 28 57 96 145 204 273 352 441 540 649 768 897 1036 1185 1344 1513 1692 1881 2080 2289 2508 | +| 158 | EulerianB:Inv:Rev | PolyRow3 | missing | 1 0 -329 -1544 -4203 -8864 -16085 -26424 -40439 -58688 -81729 -110120 -144419 -185184 -232973 | +| 159 | EulerianB:Inv:Rev | PolyCol2 | missing | 1 -1 9 -329 42321 -17963985 24215716313 -101260109984153 1295145618525878177 | +| 160 | EulerianB:Inv:Rev | PolyCol3 | missing | 1 -2 28 -1544 298096 -189806624 383793820096 -2407300630438016 46185090060715280128 | +| 161 | EulerianB:Inv:Rev | PolyDiag | missing | 1 0 9 -1544 1082289 -3028493184 32008013510065 -1222165105408418688 163257480439413162352193 | \ No newline at end of file diff --git a/data/md/FallingFact.md b/data/md/FallingFact.md index 14adee7..141f402 100644 --- a/data/md/FallingFact.md +++ b/data/md/FallingFact.md @@ -41,82 +41,122 @@ | 38 | FallingFact:Std | PolyCol2 | A010844 | 1 3 13 79 633 6331 75973 1063623 17017969 306323443 6126468861 134782314943 3234775558633 | | 39 | FallingFact:Std | PolyCol3 | A010845 | 1 4 25 226 2713 40696 732529 15383110 369194641 9968255308 299047659241 9868572754954 | | 40 | FallingFact:Std | PolyDiag | A277452 | 1 2 13 226 7889 458026 39684637 4788052298 766526598721 157108817646514 40104442275129101 | -| 41 | FallingFact:Rev | Triangle | A094587 | 1 1 1 2 2 1 6 6 3 1 24 24 12 4 1 120 120 60 20 5 1 720 720 360 120 30 6 1 5040 5040 2520 840 210 42 | -| 42 | FallingFact:Rev | Inv | A128229 | 1 -1 1 0 -2 1 0 0 -3 1 0 0 0 -4 1 0 0 0 0 -5 1 0 0 0 0 0 -6 1 0 0 0 0 0 0 -7 1 0 0 0 0 0 0 0 -8 1 0 | -| 43 | FallingFact:Rev | RevInv | A158821 | 1 1 -1 1 -2 0 1 -3 0 0 1 -4 0 0 0 1 -5 0 0 0 0 1 -6 0 0 0 0 0 1 -7 0 0 0 0 0 0 1 -8 0 0 0 0 0 0 0 1 | -| 44 | FallingFact:Rev | Acc | missing | 1 1 2 2 4 5 6 12 15 16 24 48 60 64 65 120 240 300 320 325 326 720 1440 1800 1920 1950 1956 1957 | -| 45 | FallingFact:Rev | AccRev | A347667 | 1 1 2 1 3 5 1 4 10 16 1 5 17 41 65 1 6 26 86 206 326 1 7 37 157 517 1237 1957 1 8 50 260 1100 3620 | -| 46 | FallingFact:Rev | AntiDiag | missing | 1 1 2 1 6 2 24 6 1 120 24 3 720 120 12 1 5040 720 60 4 40320 5040 360 20 1 362880 40320 2520 120 5 | -| 47 | FallingFact:Rev | Diffx1 | missing | 1 1 2 2 4 3 6 12 9 4 24 48 36 16 5 120 240 180 80 25 6 720 1440 1080 480 150 36 7 5040 10080 7560 | -| 48 | FallingFact:Rev | RowSum | A000522 | 1 2 5 16 65 326 1957 13700 109601 986410 9864101 108505112 1302061345 16926797486 236975164805 | -| 49 | FallingFact:Rev | EvenSum | A009179 | 1 1 3 9 37 185 1111 7777 62217 559953 5599531 61594841 739138093 9608795209 134523132927 | -| 50 | FallingFact:Rev | OddSum | A009628 | 0 1 2 7 28 141 846 5923 47384 426457 4264570 46910271 562923252 7318002277 102452031878 | -| 51 | FallingFact:Rev | AltSum | A000166 | 1 0 1 2 9 44 265 1854 14833 133496 1334961 14684570 176214841 2290792932 32071101049 481066515734 | -| 52 | FallingFact:Rev | DiagSum | A003470 | 1 1 3 8 31 147 853 5824 45741 405845 4012711 43733976 520795003 6726601063 93651619881 | -| 53 | FallingFact:Rev | AccSum | A001339 | 1 3 11 49 261 1631 11743 95901 876809 8877691 98641011 1193556233 15624736141 220048367319 | -| 54 | FallingFact:Rev | AccRevSum | B111063 | 1 3 9 31 129 651 3913 27399 219201 1972819 19728201 217010223 2604122689 33853594971 473950329609 | -| 55 | FallingFact:Rev | RowLcm | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 56 | FallingFact:Rev | RowGcd | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 57 | FallingFact:Rev | RowMax | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 58 | FallingFact:Rev | ColMiddle | A081125 | 1 1 2 6 12 60 120 840 1680 15120 30240 332640 665280 8648640 17297280 259459200 518918400 | -| 59 | FallingFact:Rev | CentralE | A001813 | 1 2 12 120 1680 30240 665280 17297280 518918400 17643225600 670442572800 28158588057600 | -| 60 | FallingFact:Rev | CentralO | A000407 | 1 6 60 840 15120 332640 8648640 259459200 8821612800 335221286400 14079294028800 647647525324800 | -| 61 | FallingFact:Rev | ColLeft | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 62 | FallingFact:Rev | BinConv | A002720 | 1 2 7 34 209 1546 13327 130922 1441729 17572114 234662231 3405357682 53334454417 896324308634 | -| 63 | FallingFact:Rev | InvBinConv | A009940 | 1 0 -1 4 -15 56 -185 204 6209 -112400 1520271 -19165420 237686449 -2944654296 36392001815 | -| 64 | FallingFact:Rev | TransNat0 | A007526 | 0 1 4 15 64 325 1956 13699 109600 986409 9864100 108505111 1302061344 16926797485 236975164804 | -| 65 | FallingFact:Rev | TransNat1 | B111063 | 1 3 9 31 129 651 3913 27399 219201 1972819 19728201 217010223 2604122689 33853594971 473950329609 | -| 66 | FallingFact:Rev | TransSqrs | A030297 | 0 1 6 27 124 645 3906 27391 219192 1972809 19728190 217010211 2604122676 33853594957 473950329594 | -| 67 | FallingFact:Rev | PosHalf | A010844 | 1 3 13 79 633 6331 75973 1063623 17017969 306323443 6126468861 134782314943 3234775558633 | -| 68 | FallingFact:Rev | NegHalf | A000354 | 1 -1 5 -29 233 -2329 27949 -391285 6260561 -112690097 2253801941 -49583642701 1190007424825 | -| 69 | FallingFact:Rev | DiagRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 70 | FallingFact:Rev | DiagRow2 | B002378 | 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | -| 71 | FallingFact:Rev | DiagRow3 | A331433 | 6 24 60 120 210 336 504 720 990 1320 1716 2184 2730 3360 4080 4896 5814 6840 7980 9240 10626 12144 | -| 72 | FallingFact:Rev | DiagCol1 | B000142 | 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000 | -| 73 | FallingFact:Rev | DiagCol2 | B001710 | 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 3113510400 43589145600 653837184000 | -| 74 | FallingFact:Rev | DiagCol3 | A001715 | 1 4 20 120 840 6720 60480 604800 6652800 79833600 1037836800 14529715200 217945728000 3487131648000 | -| 75 | FallingFact:Rev | Poly | A134558 | 1 1 1 2 2 1 6 5 3 1 24 16 10 4 1 120 65 38 17 5 1 720 326 168 78 26 6 1 5040 1957 872 393 142 37 7 | -| 76 | FallingFact:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 77 | FallingFact:Rev | PolyRow2 | B002522 | 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 78 | FallingFact:Rev | PolyRow3 | missing | 6 16 38 78 142 236 366 538 758 1032 1366 1766 2238 2788 3422 4146 4966 5888 6918 8062 9326 10716 | -| 79 | FallingFact:Rev | PolyCol2 | A010842 | 1 3 10 38 168 872 5296 37200 297856 2681216 26813184 294947072 3539368960 46011804672 644165281792 | -| 80 | FallingFact:Rev | PolyCol3 | A053486 | 1 4 17 78 393 2208 13977 100026 806769 7280604 72865089 801693126 9620848953 125072630712 | -| 81 | FallingFact:Rev | PolyDiag | A063170 | 1 2 10 78 824 10970 176112 3309110 71219584 1727242866 46602156800 1384438376222 44902138752000 | -| 82 | FallingFact:Rev:Inv | Triangle | A128229 | 1 -1 1 0 -2 1 0 0 -3 1 0 0 0 -4 1 0 0 0 0 -5 1 0 0 0 0 0 -6 1 0 0 0 0 0 0 -7 1 0 0 0 0 0 0 0 -8 1 0 | -| 83 | FallingFact:Rev:Inv | Rev | A158821 | 1 1 -1 1 -2 0 1 -3 0 0 1 -4 0 0 0 1 -5 0 0 0 0 1 -6 0 0 0 0 0 1 -7 0 0 0 0 0 0 1 -8 0 0 0 0 0 0 0 1 | -| 84 | FallingFact:Rev:Inv | Inv | A094587 | 1 1 1 2 2 1 6 6 3 1 24 24 12 4 1 120 120 60 20 5 1 720 720 360 120 30 6 1 5040 5040 2520 840 210 42 | -| 85 | FallingFact:Rev:Inv | RevInv | A008279 | 1 1 1 1 2 2 1 3 6 6 1 4 12 24 24 1 5 20 60 120 120 1 6 30 120 360 720 720 1 7 42 210 840 2520 5040 | -| 86 | FallingFact:Rev:Inv | Acc | missing | 1 -1 0 0 -2 -1 0 0 -3 -2 0 0 0 -4 -3 0 0 0 0 -5 -4 0 0 0 0 0 -6 -5 0 0 0 0 0 0 -7 -6 0 0 0 0 0 0 0 | -| 87 | FallingFact:Rev:Inv | AccRev | missing | 1 1 0 1 -1 -1 1 -2 -2 -2 1 -3 -3 -3 -3 1 -4 -4 -4 -4 -4 1 -5 -5 -5 -5 -5 -5 1 -6 -6 -6 -6 -6 -6 -6 | -| 88 | FallingFact:Rev:Inv | AntiDiag | missing | 1 -1 0 1 0 -2 0 0 1 0 0 -3 0 0 0 1 0 0 0 -4 0 0 0 0 1 0 0 0 0 -5 0 0 0 0 0 1 0 0 0 0 0 -6 0 0 0 0 0 | -| 89 | FallingFact:Rev:Inv | Diffx1 | missing | 1 -1 2 0 -4 3 0 0 -9 4 0 0 0 -16 5 0 0 0 0 -25 6 0 0 0 0 0 -36 7 0 0 0 0 0 0 -49 8 0 0 0 0 0 0 0 | -| 90 | FallingFact:Rev:Inv | RowSum | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 91 | FallingFact:Rev:Inv | EvenSum | A009001 | 1 -1 1 -3 1 -5 1 -7 1 -9 1 -11 1 -13 1 -15 1 -17 1 -19 1 -21 1 -23 1 -25 1 -27 1 -29 1 -31 | -| 92 | FallingFact:Rev:Inv | OddSum | A009531 | 0 1 -2 1 -4 1 -6 1 -8 1 -10 1 -12 1 -14 1 -16 1 -18 1 -20 1 -22 1 -24 1 -26 1 -28 1 -30 1 | -| 93 | FallingFact:Rev:Inv | AltSum | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | -| 94 | FallingFact:Rev:Inv | DiagSum | A007879 | 1 -1 1 -2 1 -3 1 -4 1 -5 1 -6 1 -7 1 -8 1 -9 1 -10 1 -11 1 -12 1 -13 1 -14 1 -15 1 -16 | -| 95 | FallingFact:Rev:Inv | AccSum | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | -| 96 | FallingFact:Rev:Inv | AccRevSum | A165900 | 1 1 -1 -5 -11 -19 -29 -41 -55 -71 -89 -109 -131 -155 -181 -209 -239 -271 -305 -341 -379 -419 -461 | -| 97 | FallingFact:Rev:Inv | RowLcm | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 98 | FallingFact:Rev:Inv | RowGcd | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 99 | FallingFact:Rev:Inv | RowMax | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 100 | FallingFact:Rev:Inv | ColMiddle | A130779 | 1 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 101 | FallingFact:Rev:Inv | CentralE | A130706 | 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 102 | FallingFact:Rev:Inv | ColLeft | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 103 | FallingFact:Rev:Inv | BinConv | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | -| 104 | FallingFact:Rev:Inv | InvBinConv | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 105 | FallingFact:Rev:Inv | TransNat0 | A067998 | 0 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | -| 106 | FallingFact:Rev:Inv | TransNat1 | A165900 | 1 1 -1 -5 -11 -19 -29 -41 -55 -71 -89 -109 -131 -155 -181 -209 -239 -271 -305 -341 -379 -419 -461 | -| 107 | FallingFact:Rev:Inv | TransSqrs | B318765 | 0 1 2 -3 -20 -55 -114 -203 -328 -495 -710 -979 -1308 -1703 -2170 -2715 -3344 -4063 -4878 -5795 | -| 108 | FallingFact:Rev:Inv | PosHalf | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | -| 109 | FallingFact:Rev:Inv | NegHalf | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | -| 110 | FallingFact:Rev:Inv | DiagRow1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | -| 111 | FallingFact:Rev:Inv | DiagCol1 | A130706 | 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 112 | FallingFact:Rev:Inv | DiagCol2 | A169585 | 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 113 | FallingFact:Rev:Inv | DiagCol3 | A274981 | 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 114 | FallingFact:Rev:Inv | Poly | missing | 1 -1 1 0 0 1 0 -1 1 1 0 -2 0 2 1 0 -3 -4 3 3 1 0 -4 -16 0 8 4 1 0 -5 -48 -27 16 15 5 1 0 -6 -128 | -| 115 | FallingFact:Rev:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | -| 116 | FallingFact:Rev:Inv | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | -| 117 | FallingFact:Rev:Inv | PolyRow3 | missing | 0 -2 -4 0 16 50 108 196 320 486 700 968 1296 1690 2156 2700 3328 4046 4860 5776 6800 7938 9196 | -| 118 | FallingFact:Rev:Inv | PolyCol2 | A159964 | 1 1 0 -4 -16 -48 -128 -320 -768 -1792 -4096 -9216 -20480 -45056 -98304 -212992 -458752 -983040 | -| 119 | FallingFact:Rev:Inv | PolyCol3 | missing | 1 2 3 0 -27 -162 -729 -2916 -10935 -39366 -137781 -472392 -1594323 -5314410 -17537553 -57395628 | \ No newline at end of file +| 41 | FallingFact:Alt | Triangle | A008279 | 1 1 -1 1 -2 2 1 -3 6 -6 1 -4 12 -24 24 1 -5 20 -60 120 -120 1 -6 30 -120 360 -720 720 1 -7 42 -210 | +| 42 | FallingFact:Alt | Rev | A094587 | 1 -1 1 2 -2 1 -6 6 -3 1 24 -24 12 -4 1 -120 120 -60 20 -5 1 720 -720 360 -120 30 -6 1 -5040 5040 | +| 43 | FallingFact:Alt | InvRev | A128229 | 1 1 1 0 2 1 0 0 3 1 0 0 0 4 1 0 0 0 0 5 1 0 0 0 0 0 6 1 0 0 0 0 0 0 7 1 0 0 0 0 0 0 0 8 1 0 0 0 0 0 | +| 44 | FallingFact:Alt | Acc | missing | 1 1 0 1 -1 1 1 -2 4 -2 1 -3 9 -15 9 1 -4 16 -44 76 -44 1 -5 25 -95 265 -455 265 1 -6 36 -174 666 | +| 45 | FallingFact:Alt | AccRev | missing | 1 -1 0 2 0 1 -6 0 -3 -2 24 0 12 8 9 -120 0 -60 -40 -45 -44 720 0 360 240 270 264 265 -5040 0 -2520 | +| 46 | FallingFact:Alt | AntiDiag | A344391 | 1 1 1 -1 1 -2 1 -3 2 1 -4 6 1 -5 12 -6 1 -6 20 -24 1 -7 30 -60 24 1 -8 42 -120 120 1 -9 56 -210 360 | +| 47 | FallingFact:Alt | Diffx1 | A121757 | 1 1 -2 1 -4 6 1 -6 18 -24 1 -8 36 -96 120 1 -10 60 -240 600 -720 1 -12 90 -480 1800 -4320 5040 1 | +| 48 | FallingFact:Alt | RowSum | A000166 | 1 0 1 -2 9 -44 265 -1854 14833 -133496 1334961 -14684570 176214841 -2290792932 32071101049 | +| 49 | FallingFact:Alt | EvenSum | A087208 | 1 1 3 7 37 141 1111 5923 62217 426457 5599531 46910271 739138093 7318002277 134523132927 | +| 50 | FallingFact:Alt | OddSum | A002747 | 0 -1 -2 -9 -28 -185 -846 -7777 -47384 -559953 -4264570 -61594841 -562923252 -9608795209 | +| 51 | FallingFact:Alt | AltSum | A000522 | 1 2 5 16 65 326 1957 13700 109601 986410 9864101 108505112 1302061345 16926797486 236975164805 | +| 52 | FallingFact:Alt | DiagSum | A358603 | 1 1 0 -1 0 3 2 -9 -12 35 78 -153 -544 723 4170 -3337 -35028 10851 320678 57255 -3178152 -2190253 | +| 53 | FallingFact:Alt | AccRevSum | A000255 | 1 -1 3 -11 53 -309 2119 -16687 148329 -1468457 16019531 -190899411 2467007773 -34361893981 | +| 54 | FallingFact:Alt | RowLcm | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 55 | FallingFact:Alt | RowGcd | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 56 | FallingFact:Alt | RowMax | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 57 | FallingFact:Alt | ColMiddle | A205825 | 1 1 -2 -3 12 20 -120 -210 1680 3024 -30240 -55440 665280 1235520 -17297280 -32432400 518918400 | +| 58 | FallingFact:Alt | CentralE | A001813 | 1 -2 12 -120 1680 -30240 665280 -17297280 518918400 -17643225600 670442572800 -28158588057600 | +| 59 | FallingFact:Alt | CentralO | B292221 | 1 -3 20 -210 3024 -55440 1235520 -32432400 980179200 -33522128640 1279935820800 -53970627110400 | +| 60 | FallingFact:Alt | ColRight | A000142 | 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | +| 61 | FallingFact:Alt | BinConv | A009940 | 1 0 -1 4 -15 56 -185 204 6209 -112400 1520271 -19165420 237686449 -2944654296 36392001815 | +| 62 | FallingFact:Alt | InvBinConv | A002720 | 1 -2 7 -34 209 -1546 13327 -130922 1441729 -17572114 234662231 -3405357682 53334454417 | +| 63 | FallingFact:Alt | TransNat0 | B000166 | 0 -1 2 -9 44 -265 1854 -14833 133496 -1334961 14684570 -176214841 2290792932 -32071101049 | +| 64 | FallingFact:Alt | TransNat1 | A000255 | 1 -1 3 -11 53 -309 2119 -16687 148329 -1468457 16019531 -190899411 2467007773 -34361893981 | +| 65 | FallingFact:Alt | TransSqrs | missing | 0 -1 6 -33 212 -1545 12714 -116809 1186632 -13216113 160195310 -2099893521 29604093276 | +| 66 | FallingFact:Alt | PosHalf | A000023 | 1 1 2 2 8 -8 112 -656 5504 -49024 491264 -5401856 64826368 -842734592 11798300672 -176974477312 | +| 67 | FallingFact:Alt | NegHalf | A010842 | 1 -3 10 -38 168 -872 5296 -37200 297856 -2681216 26813184 -294947072 3539368960 -46011804672 | +| 68 | FallingFact:Alt | DiagRow1 | B155456 | 1 -2 6 -24 120 -720 5040 -40320 362880 -3628800 39916800 -479001600 6227020800 -87178291200 | +| 69 | FallingFact:Alt | DiagRow2 | B105752 | 1 -3 12 -60 360 -2520 20160 -181440 1814400 -19958400 239500800 -3113510400 43589145600 | +| 70 | FallingFact:Alt | DiagRow3 | A001715 | 1 -4 20 -120 840 -6720 60480 -604800 6652800 -79833600 1037836800 -14529715200 217945728000 | +| 71 | FallingFact:Alt | DiagCol1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | +| 72 | FallingFact:Alt | DiagCol2 | B002378 | 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | +| 73 | FallingFact:Alt | DiagCol3 | A331433 | -6 -24 -60 -120 -210 -336 -504 -720 -990 -1320 -1716 -2184 -2730 -3360 -4080 -4896 -5814 -6840 | +| 74 | FallingFact:Alt | Poly | A320032 | 1 1 1 1 0 1 1 1 -1 1 1 -2 5 -2 1 1 9 -29 13 -3 1 1 -44 233 -116 25 -4 1 1 265 -2329 1393 -299 41 -5 | +| 75 | FallingFact:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 76 | FallingFact:Alt | PolyRow2 | A001844 | 1 1 5 13 25 41 61 85 113 145 181 221 265 313 365 421 481 545 613 685 761 841 925 1013 1105 1201 | +| 77 | FallingFact:Alt | PolyRow3 | missing | 1 -2 -29 -116 -299 -614 -1097 -1784 -2711 -3914 -5429 -7292 -9539 -12206 -15329 -18944 -23087 | +| 78 | FallingFact:Alt | PolyCol2 | A000354 | 1 -1 5 -29 233 -2329 27949 -391285 6260561 -112690097 2253801941 -49583642701 1190007424825 | +| 79 | FallingFact:Alt | PolyCol3 | A000180 | 1 -2 13 -116 1393 -20894 376093 -7897952 189550849 -5117872922 153536187661 -5066694192812 | +| 80 | FallingFact:Alt | PolyDiag | A319392 | 1 0 5 -116 4785 -307024 28435285 -3598112580 596971515329 -125802906617600 32834740225688901 | +| 81 | FallingFact:Rev | Triangle | A094587 | 1 1 1 2 2 1 6 6 3 1 24 24 12 4 1 120 120 60 20 5 1 720 720 360 120 30 6 1 5040 5040 2520 840 210 42 | +| 82 | FallingFact:Rev | Inv | A128229 | 1 -1 1 0 -2 1 0 0 -3 1 0 0 0 -4 1 0 0 0 0 -5 1 0 0 0 0 0 -6 1 0 0 0 0 0 0 -7 1 0 0 0 0 0 0 0 -8 1 0 | +| 83 | FallingFact:Rev | RevInv | A158821 | 1 1 -1 1 -2 0 1 -3 0 0 1 -4 0 0 0 1 -5 0 0 0 0 1 -6 0 0 0 0 0 1 -7 0 0 0 0 0 0 1 -8 0 0 0 0 0 0 0 1 | +| 84 | FallingFact:Rev | Acc | missing | 1 1 2 2 4 5 6 12 15 16 24 48 60 64 65 120 240 300 320 325 326 720 1440 1800 1920 1950 1956 1957 | +| 85 | FallingFact:Rev | AccRev | A347667 | 1 1 2 1 3 5 1 4 10 16 1 5 17 41 65 1 6 26 86 206 326 1 7 37 157 517 1237 1957 1 8 50 260 1100 3620 | +| 86 | FallingFact:Rev | AntiDiag | missing | 1 1 2 1 6 2 24 6 1 120 24 3 720 120 12 1 5040 720 60 4 40320 5040 360 20 1 362880 40320 2520 120 5 | +| 87 | FallingFact:Rev | Diffx1 | missing | 1 1 2 2 4 3 6 12 9 4 24 48 36 16 5 120 240 180 80 25 6 720 1440 1080 480 150 36 7 5040 10080 7560 | +| 88 | FallingFact:Rev | RowSum | A000522 | 1 2 5 16 65 326 1957 13700 109601 986410 9864101 108505112 1302061345 16926797486 236975164805 | +| 89 | FallingFact:Rev | EvenSum | A009179 | 1 1 3 9 37 185 1111 7777 62217 559953 5599531 61594841 739138093 9608795209 134523132927 | +| 90 | FallingFact:Rev | OddSum | A009628 | 0 1 2 7 28 141 846 5923 47384 426457 4264570 46910271 562923252 7318002277 102452031878 | +| 91 | FallingFact:Rev | AltSum | A000166 | 1 0 1 2 9 44 265 1854 14833 133496 1334961 14684570 176214841 2290792932 32071101049 481066515734 | +| 92 | FallingFact:Rev | DiagSum | A003470 | 1 1 3 8 31 147 853 5824 45741 405845 4012711 43733976 520795003 6726601063 93651619881 | +| 93 | FallingFact:Rev | AccSum | A001339 | 1 3 11 49 261 1631 11743 95901 876809 8877691 98641011 1193556233 15624736141 220048367319 | +| 94 | FallingFact:Rev | AccRevSum | B111063 | 1 3 9 31 129 651 3913 27399 219201 1972819 19728201 217010223 2604122689 33853594971 473950329609 | +| 95 | FallingFact:Rev | RowLcm | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 96 | FallingFact:Rev | RowGcd | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 97 | FallingFact:Rev | RowMax | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 98 | FallingFact:Rev | ColMiddle | A081125 | 1 1 2 6 12 60 120 840 1680 15120 30240 332640 665280 8648640 17297280 259459200 518918400 | +| 99 | FallingFact:Rev | CentralE | A001813 | 1 2 12 120 1680 30240 665280 17297280 518918400 17643225600 670442572800 28158588057600 | +| 100 | FallingFact:Rev | CentralO | A000407 | 1 6 60 840 15120 332640 8648640 259459200 8821612800 335221286400 14079294028800 647647525324800 | +| 101 | FallingFact:Rev | ColLeft | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 102 | FallingFact:Rev | BinConv | A002720 | 1 2 7 34 209 1546 13327 130922 1441729 17572114 234662231 3405357682 53334454417 896324308634 | +| 103 | FallingFact:Rev | InvBinConv | A009940 | 1 0 -1 4 -15 56 -185 204 6209 -112400 1520271 -19165420 237686449 -2944654296 36392001815 | +| 104 | FallingFact:Rev | TransNat0 | A007526 | 0 1 4 15 64 325 1956 13699 109600 986409 9864100 108505111 1302061344 16926797485 236975164804 | +| 105 | FallingFact:Rev | TransNat1 | B111063 | 1 3 9 31 129 651 3913 27399 219201 1972819 19728201 217010223 2604122689 33853594971 473950329609 | +| 106 | FallingFact:Rev | TransSqrs | A030297 | 0 1 6 27 124 645 3906 27391 219192 1972809 19728190 217010211 2604122676 33853594957 473950329594 | +| 107 | FallingFact:Rev | PosHalf | A010844 | 1 3 13 79 633 6331 75973 1063623 17017969 306323443 6126468861 134782314943 3234775558633 | +| 108 | FallingFact:Rev | NegHalf | A000354 | 1 -1 5 -29 233 -2329 27949 -391285 6260561 -112690097 2253801941 -49583642701 1190007424825 | +| 109 | FallingFact:Rev | DiagRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 110 | FallingFact:Rev | DiagRow2 | B002378 | 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | +| 111 | FallingFact:Rev | DiagRow3 | A331433 | 6 24 60 120 210 336 504 720 990 1320 1716 2184 2730 3360 4080 4896 5814 6840 7980 9240 10626 12144 | +| 112 | FallingFact:Rev | DiagCol1 | B000142 | 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000 | +| 113 | FallingFact:Rev | DiagCol2 | B001710 | 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 3113510400 43589145600 653837184000 | +| 114 | FallingFact:Rev | DiagCol3 | A001715 | 1 4 20 120 840 6720 60480 604800 6652800 79833600 1037836800 14529715200 217945728000 3487131648000 | +| 115 | FallingFact:Rev | Poly | A134558 | 1 1 1 2 2 1 6 5 3 1 24 16 10 4 1 120 65 38 17 5 1 720 326 168 78 26 6 1 5040 1957 872 393 142 37 7 | +| 116 | FallingFact:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 117 | FallingFact:Rev | PolyRow2 | B002522 | 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 118 | FallingFact:Rev | PolyRow3 | missing | 6 16 38 78 142 236 366 538 758 1032 1366 1766 2238 2788 3422 4146 4966 5888 6918 8062 9326 10716 | +| 119 | FallingFact:Rev | PolyCol2 | A010842 | 1 3 10 38 168 872 5296 37200 297856 2681216 26813184 294947072 3539368960 46011804672 644165281792 | +| 120 | FallingFact:Rev | PolyCol3 | A053486 | 1 4 17 78 393 2208 13977 100026 806769 7280604 72865089 801693126 9620848953 125072630712 | +| 121 | FallingFact:Rev | PolyDiag | A063170 | 1 2 10 78 824 10970 176112 3309110 71219584 1727242866 46602156800 1384438376222 44902138752000 | +| 122 | FallingFact:Rev:Inv | Triangle | A128229 | 1 -1 1 0 -2 1 0 0 -3 1 0 0 0 -4 1 0 0 0 0 -5 1 0 0 0 0 0 -6 1 0 0 0 0 0 0 -7 1 0 0 0 0 0 0 0 -8 1 0 | +| 123 | FallingFact:Rev:Inv | Rev | A158821 | 1 1 -1 1 -2 0 1 -3 0 0 1 -4 0 0 0 1 -5 0 0 0 0 1 -6 0 0 0 0 0 1 -7 0 0 0 0 0 0 1 -8 0 0 0 0 0 0 0 1 | +| 124 | FallingFact:Rev:Inv | Inv | A094587 | 1 1 1 2 2 1 6 6 3 1 24 24 12 4 1 120 120 60 20 5 1 720 720 360 120 30 6 1 5040 5040 2520 840 210 42 | +| 125 | FallingFact:Rev:Inv | RevInv | A008279 | 1 1 1 1 2 2 1 3 6 6 1 4 12 24 24 1 5 20 60 120 120 1 6 30 120 360 720 720 1 7 42 210 840 2520 5040 | +| 126 | FallingFact:Rev:Inv | Acc | missing | 1 -1 0 0 -2 -1 0 0 -3 -2 0 0 0 -4 -3 0 0 0 0 -5 -4 0 0 0 0 0 -6 -5 0 0 0 0 0 0 -7 -6 0 0 0 0 0 0 0 | +| 127 | FallingFact:Rev:Inv | AccRev | missing | 1 1 0 1 -1 -1 1 -2 -2 -2 1 -3 -3 -3 -3 1 -4 -4 -4 -4 -4 1 -5 -5 -5 -5 -5 -5 1 -6 -6 -6 -6 -6 -6 -6 | +| 128 | FallingFact:Rev:Inv | AntiDiag | missing | 1 -1 0 1 0 -2 0 0 1 0 0 -3 0 0 0 1 0 0 0 -4 0 0 0 0 1 0 0 0 0 -5 0 0 0 0 0 1 0 0 0 0 0 -6 0 0 0 0 0 | +| 129 | FallingFact:Rev:Inv | Diffx1 | missing | 1 -1 2 0 -4 3 0 0 -9 4 0 0 0 -16 5 0 0 0 0 -25 6 0 0 0 0 0 -36 7 0 0 0 0 0 0 -49 8 0 0 0 0 0 0 0 | +| 130 | FallingFact:Rev:Inv | RowSum | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 131 | FallingFact:Rev:Inv | EvenSum | A009001 | 1 -1 1 -3 1 -5 1 -7 1 -9 1 -11 1 -13 1 -15 1 -17 1 -19 1 -21 1 -23 1 -25 1 -27 1 -29 1 -31 | +| 132 | FallingFact:Rev:Inv | OddSum | A009531 | 0 1 -2 1 -4 1 -6 1 -8 1 -10 1 -12 1 -14 1 -16 1 -18 1 -20 1 -22 1 -24 1 -26 1 -28 1 -30 1 | +| 133 | FallingFact:Rev:Inv | AltSum | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 134 | FallingFact:Rev:Inv | DiagSum | A007879 | 1 -1 1 -2 1 -3 1 -4 1 -5 1 -6 1 -7 1 -8 1 -9 1 -10 1 -11 1 -12 1 -13 1 -14 1 -15 1 -16 | +| 135 | FallingFact:Rev:Inv | AccSum | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | +| 136 | FallingFact:Rev:Inv | AccRevSum | A165900 | 1 1 -1 -5 -11 -19 -29 -41 -55 -71 -89 -109 -131 -155 -181 -209 -239 -271 -305 -341 -379 -419 -461 | +| 137 | FallingFact:Rev:Inv | RowLcm | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 138 | FallingFact:Rev:Inv | RowGcd | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 139 | FallingFact:Rev:Inv | RowMax | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 140 | FallingFact:Rev:Inv | ColMiddle | A130779 | 1 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 141 | FallingFact:Rev:Inv | CentralE | A130706 | 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 142 | FallingFact:Rev:Inv | ColLeft | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 143 | FallingFact:Rev:Inv | BinConv | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | +| 144 | FallingFact:Rev:Inv | InvBinConv | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 145 | FallingFact:Rev:Inv | TransNat0 | A067998 | 0 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | +| 146 | FallingFact:Rev:Inv | TransNat1 | A165900 | 1 1 -1 -5 -11 -19 -29 -41 -55 -71 -89 -109 -131 -155 -181 -209 -239 -271 -305 -341 -379 -419 -461 | +| 147 | FallingFact:Rev:Inv | TransSqrs | B318765 | 0 1 2 -3 -20 -55 -114 -203 -328 -495 -710 -979 -1308 -1703 -2170 -2715 -3344 -4063 -4878 -5795 | +| 148 | FallingFact:Rev:Inv | PosHalf | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | +| 149 | FallingFact:Rev:Inv | NegHalf | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | +| 150 | FallingFact:Rev:Inv | DiagRow1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | +| 151 | FallingFact:Rev:Inv | DiagCol1 | A130706 | 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 152 | FallingFact:Rev:Inv | DiagCol2 | A169585 | 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 153 | FallingFact:Rev:Inv | DiagCol3 | A274981 | 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 154 | FallingFact:Rev:Inv | Poly | missing | 1 -1 1 0 0 1 0 -1 1 1 0 -2 0 2 1 0 -3 -4 3 3 1 0 -4 -16 0 8 4 1 0 -5 -48 -27 16 15 5 1 0 -6 -128 | +| 155 | FallingFact:Rev:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 156 | FallingFact:Rev:Inv | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 157 | FallingFact:Rev:Inv | PolyRow3 | missing | 0 -2 -4 0 16 50 108 196 320 486 700 968 1296 1690 2156 2700 3328 4046 4860 5776 6800 7938 9196 | +| 158 | FallingFact:Rev:Inv | PolyCol2 | A159964 | 1 1 0 -4 -16 -48 -128 -320 -768 -1792 -4096 -9216 -20480 -45056 -98304 -212992 -458752 -983040 | +| 159 | FallingFact:Rev:Inv | PolyCol3 | missing | 1 2 3 0 -27 -162 -729 -2916 -10935 -39366 -137781 -472392 -1594323 -5314410 -17537553 -57395628 | \ No newline at end of file diff --git a/data/md/Fibonacci.md b/data/md/Fibonacci.md index 6a7e5b1..c7e996d 100644 --- a/data/md/Fibonacci.md +++ b/data/md/Fibonacci.md @@ -1,83 +1,125 @@ -| | triangle | trait | anum | seq | -|---:|:--------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | Fibonacci:Std | Triangle | A354267 | 1 0 1 1 1 1 1 2 2 1 2 3 4 3 1 3 5 7 7 4 1 5 8 12 14 11 5 1 8 13 20 26 25 16 6 1 13 21 33 46 51 41 | -| 1 | Fibonacci:Std | Rev | A292508 | 1 1 0 1 1 1 1 2 2 1 1 3 4 3 2 1 4 7 7 5 3 1 5 11 14 12 8 5 1 6 16 25 26 20 13 8 1 7 22 41 51 46 33 | -| 2 | Fibonacci:Std | Inv | missing | 1 0 1 -1 -1 1 1 0 -2 1 -1 1 2 -3 1 1 -2 -1 5 -4 1 -1 3 -1 -6 9 -5 1 1 -4 4 5 -15 14 -6 1 -1 5 -8 -1 | -| 3 | Fibonacci:Std | RevInv | missing | 1 1 0 1 -1 -1 1 -2 0 1 1 -3 2 1 -1 1 -4 5 -1 -2 1 1 -5 9 -6 -1 3 -1 1 -6 14 -15 5 4 -4 1 1 -7 20 | -| 4 | Fibonacci:Std | Acc | missing | 1 0 1 1 2 3 1 3 5 6 2 5 9 12 13 3 8 15 22 26 27 5 13 25 39 50 55 56 8 21 41 67 92 108 114 115 13 34 | -| 5 | Fibonacci:Std | AccRev | missing | 1 1 1 1 2 3 1 3 5 6 1 4 8 11 13 1 5 12 19 24 27 1 6 17 31 43 51 56 1 7 23 48 74 94 107 115 1 8 30 | -| 6 | Fibonacci:Std | AntiDiag | missing | 1 0 1 1 1 1 2 2 1 3 3 2 5 5 4 1 8 8 7 3 13 13 12 7 1 21 21 20 14 4 34 34 33 26 11 1 55 55 54 46 25 | -| 7 | Fibonacci:Std | Diffx1 | missing | 1 0 2 1 2 3 1 4 6 4 2 6 12 12 5 3 10 21 28 20 6 5 16 36 56 55 30 7 8 26 60 104 125 96 42 8 13 42 99 | -| 8 | Fibonacci:Std | RowSum | A099036 | 1 1 3 6 13 27 56 115 235 478 969 1959 3952 7959 16007 32158 64549 129475 259560 520107 1041811 | -| 9 | Fibonacci:Std | EvenSum | missing | 1 0 2 3 7 14 29 59 120 243 491 990 1993 4007 8048 16151 32391 64926 130085 260547 521704 1044395 | -| 10 | Fibonacci:Std | OddSum | A099036 | 0 1 1 3 6 13 27 56 115 235 478 969 1959 3952 7959 16007 32158 64549 129475 259560 520107 1041811 | -| 11 | Fibonacci:Std | AltSum | A039834 | 1 -1 1 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 | -| 12 | Fibonacci:Std | DiagSum | A006367 | 1 0 2 2 5 8 15 26 46 80 139 240 413 708 1210 2062 3505 5944 10059 16990 28646 48220 81047 136032 | -| 13 | Fibonacci:Std | AccSum | missing | 1 1 6 15 41 101 243 566 1292 2899 6419 14059 30519 65760 140814 299939 635997 1343329 2827723 | -| 14 | Fibonacci:Std | AccRevSum | missing | 1 2 6 15 37 88 205 469 1058 2359 5209 11408 24809 53625 115298 246747 525885 1116696 2363477 | -| 15 | Fibonacci:Std | RowLcm | missing | 1 1 1 2 12 420 9240 15600 96282186 131378824584 1417223198160 3668311344589320 | -| 16 | Fibonacci:Std | RowGcd | A078315 | 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 17 | Fibonacci:Std | RowMax | A027988 | 1 1 1 2 4 7 14 26 51 97 189 365 709 1383 2683 5270 10220 20175 39130 77533 150438 298925 580328 | -| 18 | Fibonacci:Std | ColMiddle | missing | 1 0 1 2 4 7 14 26 51 97 189 365 709 1383 2683 5270 10220 20175 39130 77533 150438 298925 580328 | -| 19 | Fibonacci:Std | CentralE | missing | 1 1 4 14 51 189 709 2683 10220 39130 150438 580328 2245004 8705686 33828704 131688362 | -| 20 | Fibonacci:Std | CentralO | missing | 0 2 7 26 97 365 1383 5270 20175 77533 298925 1155661 4478413 17390359 67650909 263589730 | -| 21 | Fibonacci:Std | ColLeft | A212804 | 1 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 | -| 22 | Fibonacci:Std | BinConv | missing | 1 1 4 14 51 189 709 2683 10220 39130 150438 580328 2245004 8705686 33828704 131688362 513445147 | -| 23 | Fibonacci:Std | InvBinConv | missing | 1 1 0 0 3 3 -7 -7 28 28 -98 -98 364 364 -1352 -1352 5083 5083 -19227 -19227 73151 73151 -279565 | -| 24 | Fibonacci:Std | TransNat0 | A079282 | 0 1 3 9 24 61 149 354 823 1881 4240 9449 20857 45666 99291 214589 461336 987221 2103917 4467394 | -| 25 | Fibonacci:Std | TransNat1 | missing | 1 2 6 15 37 88 205 469 1058 2359 5209 11408 24809 53625 115298 246747 525885 1116696 2363477 | -| 26 | Fibonacci:Std | TransSqrs | missing | 0 1 5 19 62 185 519 1392 3607 9095 22430 54309 129475 304616 708523 1631635 3724606 8436433 | -| 27 | Fibonacci:Std | PosHalf | missing | 1 1 7 21 79 269 935 3189 10847 36637 123223 412677 1377295 4582445 15205511 50335125 166275263 | -| 28 | Fibonacci:Std | NegHalf | missing | 1 1 3 -3 19 -51 179 -563 1843 -5939 19251 -62259 201523 -652083 2110259 -6828851 22098739 -71512883 | -| 29 | Fibonacci:Std | DiagRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 30 | Fibonacci:Std | DiagRow2 | A000124 | 1 2 4 7 11 16 22 29 37 46 56 67 79 92 106 121 137 154 172 191 211 232 254 277 301 326 352 379 407 | -| 31 | Fibonacci:Std | DiagRow3 | B004006 | 1 3 7 14 25 41 63 92 129 175 231 298 377 469 575 696 833 987 1159 1350 1561 1793 2047 2324 2625 | -| 32 | Fibonacci:Std | DiagCol1 | A185357 | 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 75025 | -| 33 | Fibonacci:Std | DiagCol2 | B000071 | 1 2 4 7 12 20 33 54 88 143 232 376 609 986 1596 2583 4180 6764 10945 17710 28656 46367 75024 121392 | -| 34 | Fibonacci:Std | DiagCol3 | A079921 | 1 3 7 14 26 46 79 133 221 364 596 972 1581 2567 4163 6746 10926 17690 28635 46345 75001 121368 | -| 35 | Fibonacci:Std | Poly | missing | 1 0 1 1 1 1 1 3 2 1 2 6 7 3 1 3 13 21 13 4 1 5 27 64 52 21 5 1 8 56 193 209 105 31 6 1 13 115 581 | -| 36 | Fibonacci:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 37 | Fibonacci:Std | PolyRow2 | A247890 | 1 3 7 13 21 31 43 57 73 91 111 133 157 183 211 241 273 307 343 381 421 463 507 553 601 651 703 757 | -| 38 | Fibonacci:Std | PolyRow3 | A069778 | 1 6 21 52 105 186 301 456 657 910 1221 1596 2041 2562 3165 3856 4641 5526 6517 7620 8841 10186 | -| 39 | Fibonacci:Std | PolyCol2 | missing | 1 2 7 21 64 193 581 1746 5243 15737 47224 141693 425113 1275394 3826271 11478957 34437104 103311689 | -| 40 | Fibonacci:Std | PolyCol3 | missing | 1 3 13 52 209 837 3350 13403 53617 214476 857917 3431689 13726790 54907215 219628949 878515940 | -| 41 | Fibonacci:Std | PolyDiag | missing | 1 1 7 52 526 6703 103301 1868371 38802677 910112358 23795802384 686290174449 21644672629913 | -| 42 | Fibonacci:Rev | Triangle | A292508 | 1 1 0 1 1 1 1 2 2 1 1 3 4 3 2 1 4 7 7 5 3 1 5 11 14 12 8 5 1 6 16 25 26 20 13 8 1 7 22 41 51 46 33 | -| 43 | Fibonacci:Rev | InvRev | missing | 1 0 1 -1 -1 1 1 0 -2 1 -1 1 2 -3 1 1 -2 -1 5 -4 1 -1 3 -1 -6 9 -5 1 1 -4 4 5 -15 14 -6 1 -1 5 -8 -1 | -| 44 | Fibonacci:Rev | Acc | missing | 1 1 1 1 2 3 1 3 5 6 1 4 8 11 13 1 5 12 19 24 27 1 6 17 31 43 51 56 1 7 23 48 74 94 107 115 1 8 30 | -| 45 | Fibonacci:Rev | AccRev | missing | 1 0 1 1 2 3 1 3 5 6 2 5 9 12 13 3 8 15 22 26 27 5 13 25 39 50 55 56 8 21 41 67 92 108 114 115 13 34 | -| 46 | Fibonacci:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 2 1 1 3 2 1 4 4 1 1 5 7 3 1 6 11 7 2 1 7 16 14 5 1 8 22 25 12 3 1 9 29 41 26 8 1 10 | -| 47 | Fibonacci:Rev | Diffx1 | missing | 1 1 0 1 2 3 1 4 6 4 1 6 12 12 10 1 8 21 28 25 18 1 10 33 56 60 48 35 1 12 48 100 130 120 91 64 1 14 | -| 48 | Fibonacci:Rev | RowSum | A099036 | 1 1 3 6 13 27 56 115 235 478 969 1959 3952 7959 16007 32158 64549 129475 259560 520107 1041811 | -| 49 | Fibonacci:Rev | EvenSum | missing | 1 1 2 3 7 13 29 56 120 235 491 969 1993 3952 8048 16007 32391 64549 130085 259560 521704 1041811 | -| 50 | Fibonacci:Rev | OddSum | missing | 0 0 1 3 6 14 27 59 115 243 478 990 1959 4007 7959 16151 32158 64926 129475 260547 520107 1044395 | -| 51 | Fibonacci:Rev | AltSum | A039834 | 1 1 1 0 1 -1 2 -3 5 -8 13 -21 34 -55 89 -144 233 -377 610 -987 1597 -2584 4181 -6765 10946 -17711 | -| 52 | Fibonacci:Rev | DiagSum | missing | 1 1 1 2 4 6 10 16 27 43 71 114 187 301 491 792 1288 2080 3376 5456 8845 14301 23167 37468 60669 | -| 53 | Fibonacci:Rev | AccSum | missing | 1 2 6 15 37 88 205 469 1058 2359 5209 11408 24809 53625 115298 246747 525885 1116696 2363477 | -| 54 | Fibonacci:Rev | AccRevSum | missing | 1 1 6 15 41 101 243 566 1292 2899 6419 14059 30519 65760 140814 299939 635997 1343329 2827723 | -| 55 | Fibonacci:Rev | RowLcm | missing | 1 1 1 2 12 420 9240 15600 96282186 131378824584 1417223198160 3668311344589320 | -| 56 | Fibonacci:Rev | RowGcd | A078315 | 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 57 | Fibonacci:Rev | RowMax | A027988 | 1 1 1 2 4 7 14 26 51 97 189 365 709 1383 2683 5270 10220 20175 39130 77533 150438 298925 580328 | -| 58 | Fibonacci:Rev | ColMiddle | missing | 1 1 1 2 4 7 14 25 51 92 189 344 709 1300 2683 4950 10220 18955 39130 72905 150438 281403 580328 | -| 59 | Fibonacci:Rev | CentralE | missing | 1 1 4 14 51 189 709 2683 10220 39130 150438 580328 2245004 8705686 33828704 131688362 | -| 60 | Fibonacci:Rev | CentralO | A108081 | 1 2 7 25 92 344 1300 4950 18955 72905 281403 1089343 4227273 16438345 64037453 249855417 | -| 61 | Fibonacci:Rev | ColRight | A212804 | 1 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 | -| 62 | Fibonacci:Rev | BinConv | missing | 1 1 4 14 51 189 709 2683 10220 39130 150438 580328 2245004 8705686 33828704 131688362 513445147 | -| 63 | Fibonacci:Rev | InvBinConv | missing | 1 -1 0 0 3 -3 -7 7 28 -28 -98 98 364 -364 -1352 1352 5083 -5083 -19227 19227 73151 -73151 -279565 | -| 64 | Fibonacci:Rev | TransNat0 | missing | 0 0 3 9 28 74 187 451 1057 2421 5450 12100 26567 57801 124807 267781 571448 1213854 2568163 5414639 | -| 65 | Fibonacci:Rev | TransNat1 | missing | 1 1 6 15 41 101 243 566 1292 2899 6419 14059 30519 65760 140814 299939 635997 1343329 2827723 | -| 66 | Fibonacci:Rev | TransSqrs | missing | 0 0 5 19 78 250 747 2071 5479 13955 34530 83470 197995 462371 1065747 2429515 5486398 12289194 | -| 67 | Fibonacci:Rev | PosHalf | missing | 1 2 7 21 64 193 581 1746 5243 15737 47224 141693 425113 1275394 3826271 11478957 34437104 103311689 | -| 68 | Fibonacci:Rev | NegHalf | A113312 | 1 -2 3 -3 4 -3 5 -2 7 1 12 9 25 30 59 85 148 229 381 606 991 1593 2588 4177 6769 10942 17715 28653 | -| 69 | Fibonacci:Rev | DiagRow1 | A185357 | 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 75025 | -| 70 | Fibonacci:Rev | DiagRow2 | B000071 | 1 2 4 7 12 20 33 54 88 143 232 376 609 986 1596 2583 4180 6764 10945 17710 28656 46367 75024 121392 | -| 71 | Fibonacci:Rev | DiagRow3 | A079921 | 1 3 7 14 26 46 79 133 221 364 596 972 1581 2567 4163 6746 10926 17690 28635 46345 75001 121368 | -| 72 | Fibonacci:Rev | DiagCol1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 73 | Fibonacci:Rev | DiagCol2 | A000124 | 1 2 4 7 11 16 22 29 37 46 56 67 79 92 106 121 137 154 172 191 211 232 254 277 301 326 352 379 407 | -| 74 | Fibonacci:Rev | DiagCol3 | B004006 | 1 3 7 14 25 41 63 92 129 175 231 298 377 469 575 696 833 987 1159 1350 1561 1793 2047 2324 2625 | -| 75 | Fibonacci:Rev | Poly | missing | 1 1 1 1 1 1 1 3 1 1 1 6 7 1 1 1 13 21 13 1 1 1 27 79 52 21 1 1 1 56 269 289 105 31 1 1 1 115 935 | -| 76 | Fibonacci:Rev | PolyRow2 | A247890 | 1 3 7 13 21 31 43 57 73 91 111 133 157 183 211 241 273 307 343 381 421 463 507 553 601 651 703 757 | -| 77 | Fibonacci:Rev | PolyRow3 | A069778 | 1 6 21 52 105 186 301 456 657 910 1221 1596 2041 2562 3165 3856 4641 5526 6517 7620 8841 10186 | -| 78 | Fibonacci:Rev | PolyCol2 | missing | 1 1 7 21 79 269 935 3189 10847 36637 123223 412677 1377295 4582445 15205511 50335125 166275263 | -| 79 | Fibonacci:Rev | PolyCol3 | missing | 1 1 13 52 289 1399 7054 34777 171913 845116 4148101 20312491 99318958 484963597 2365538629 | -| 80 | Fibonacci:Rev | PolyDiag | missing | 1 1 7 52 781 13571 314491 8525749 272533433 9906062662 405326545791 18391859856459 917023446989125 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:--------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | Fibonacci:Std | Triangle | A354267 | 1 0 1 1 1 1 1 2 2 1 2 3 4 3 1 3 5 7 7 4 1 5 8 12 14 11 5 1 8 13 20 26 25 16 6 1 13 21 33 46 51 41 | +| 1 | Fibonacci:Std | Rev | A292508 | 1 1 0 1 1 1 1 2 2 1 1 3 4 3 2 1 4 7 7 5 3 1 5 11 14 12 8 5 1 6 16 25 26 20 13 8 1 7 22 41 51 46 33 | +| 2 | Fibonacci:Std | Inv | missing | 1 0 1 -1 -1 1 1 0 -2 1 -1 1 2 -3 1 1 -2 -1 5 -4 1 -1 3 -1 -6 9 -5 1 1 -4 4 5 -15 14 -6 1 -1 5 -8 -1 | +| 3 | Fibonacci:Std | RevInv | missing | 1 1 0 1 -1 -1 1 -2 0 1 1 -3 2 1 -1 1 -4 5 -1 -2 1 1 -5 9 -6 -1 3 -1 1 -6 14 -15 5 4 -4 1 1 -7 20 | +| 4 | Fibonacci:Std | Acc | missing | 1 0 1 1 2 3 1 3 5 6 2 5 9 12 13 3 8 15 22 26 27 5 13 25 39 50 55 56 8 21 41 67 92 108 114 115 13 34 | +| 5 | Fibonacci:Std | AccRev | missing | 1 1 1 1 2 3 1 3 5 6 1 4 8 11 13 1 5 12 19 24 27 1 6 17 31 43 51 56 1 7 23 48 74 94 107 115 1 8 30 | +| 6 | Fibonacci:Std | AntiDiag | missing | 1 0 1 1 1 1 2 2 1 3 3 2 5 5 4 1 8 8 7 3 13 13 12 7 1 21 21 20 14 4 34 34 33 26 11 1 55 55 54 46 25 | +| 7 | Fibonacci:Std | Diffx1 | missing | 1 0 2 1 2 3 1 4 6 4 2 6 12 12 5 3 10 21 28 20 6 5 16 36 56 55 30 7 8 26 60 104 125 96 42 8 13 42 99 | +| 8 | Fibonacci:Std | RowSum | A099036 | 1 1 3 6 13 27 56 115 235 478 969 1959 3952 7959 16007 32158 64549 129475 259560 520107 1041811 | +| 9 | Fibonacci:Std | EvenSum | missing | 1 0 2 3 7 14 29 59 120 243 491 990 1993 4007 8048 16151 32391 64926 130085 260547 521704 1044395 | +| 10 | Fibonacci:Std | OddSum | A099036 | 0 1 1 3 6 13 27 56 115 235 478 969 1959 3952 7959 16007 32158 64549 129475 259560 520107 1041811 | +| 11 | Fibonacci:Std | AltSum | A039834 | 1 -1 1 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 | +| 12 | Fibonacci:Std | DiagSum | A006367 | 1 0 2 2 5 8 15 26 46 80 139 240 413 708 1210 2062 3505 5944 10059 16990 28646 48220 81047 136032 | +| 13 | Fibonacci:Std | AccSum | missing | 1 1 6 15 41 101 243 566 1292 2899 6419 14059 30519 65760 140814 299939 635997 1343329 2827723 | +| 14 | Fibonacci:Std | AccRevSum | missing | 1 2 6 15 37 88 205 469 1058 2359 5209 11408 24809 53625 115298 246747 525885 1116696 2363477 | +| 15 | Fibonacci:Std | RowLcm | missing | 1 1 1 2 12 420 9240 15600 96282186 131378824584 1417223198160 3668311344589320 | +| 16 | Fibonacci:Std | RowGcd | A078315 | 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 17 | Fibonacci:Std | RowMax | A027988 | 1 1 1 2 4 7 14 26 51 97 189 365 709 1383 2683 5270 10220 20175 39130 77533 150438 298925 580328 | +| 18 | Fibonacci:Std | ColMiddle | missing | 1 0 1 2 4 7 14 26 51 97 189 365 709 1383 2683 5270 10220 20175 39130 77533 150438 298925 580328 | +| 19 | Fibonacci:Std | CentralE | missing | 1 1 4 14 51 189 709 2683 10220 39130 150438 580328 2245004 8705686 33828704 131688362 | +| 20 | Fibonacci:Std | CentralO | missing | 0 2 7 26 97 365 1383 5270 20175 77533 298925 1155661 4478413 17390359 67650909 263589730 | +| 21 | Fibonacci:Std | ColLeft | A212804 | 1 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 | +| 22 | Fibonacci:Std | BinConv | missing | 1 1 4 14 51 189 709 2683 10220 39130 150438 580328 2245004 8705686 33828704 131688362 513445147 | +| 23 | Fibonacci:Std | InvBinConv | missing | 1 1 0 0 3 3 -7 -7 28 28 -98 -98 364 364 -1352 -1352 5083 5083 -19227 -19227 73151 73151 -279565 | +| 24 | Fibonacci:Std | TransNat0 | A079282 | 0 1 3 9 24 61 149 354 823 1881 4240 9449 20857 45666 99291 214589 461336 987221 2103917 4467394 | +| 25 | Fibonacci:Std | TransNat1 | missing | 1 2 6 15 37 88 205 469 1058 2359 5209 11408 24809 53625 115298 246747 525885 1116696 2363477 | +| 26 | Fibonacci:Std | TransSqrs | missing | 0 1 5 19 62 185 519 1392 3607 9095 22430 54309 129475 304616 708523 1631635 3724606 8436433 | +| 27 | Fibonacci:Std | PosHalf | missing | 1 1 7 21 79 269 935 3189 10847 36637 123223 412677 1377295 4582445 15205511 50335125 166275263 | +| 28 | Fibonacci:Std | NegHalf | missing | 1 1 3 -3 19 -51 179 -563 1843 -5939 19251 -62259 201523 -652083 2110259 -6828851 22098739 -71512883 | +| 29 | Fibonacci:Std | DiagRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 30 | Fibonacci:Std | DiagRow2 | A000124 | 1 2 4 7 11 16 22 29 37 46 56 67 79 92 106 121 137 154 172 191 211 232 254 277 301 326 352 379 407 | +| 31 | Fibonacci:Std | DiagRow3 | B004006 | 1 3 7 14 25 41 63 92 129 175 231 298 377 469 575 696 833 987 1159 1350 1561 1793 2047 2324 2625 | +| 32 | Fibonacci:Std | DiagCol1 | A185357 | 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 75025 | +| 33 | Fibonacci:Std | DiagCol2 | B000071 | 1 2 4 7 12 20 33 54 88 143 232 376 609 986 1596 2583 4180 6764 10945 17710 28656 46367 75024 121392 | +| 34 | Fibonacci:Std | DiagCol3 | A079921 | 1 3 7 14 26 46 79 133 221 364 596 972 1581 2567 4163 6746 10926 17690 28635 46345 75001 121368 | +| 35 | Fibonacci:Std | Poly | missing | 1 0 1 1 1 1 1 3 2 1 2 6 7 3 1 3 13 21 13 4 1 5 27 64 52 21 5 1 8 56 193 209 105 31 6 1 13 115 581 | +| 36 | Fibonacci:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 37 | Fibonacci:Std | PolyRow2 | A247890 | 1 3 7 13 21 31 43 57 73 91 111 133 157 183 211 241 273 307 343 381 421 463 507 553 601 651 703 757 | +| 38 | Fibonacci:Std | PolyRow3 | A069778 | 1 6 21 52 105 186 301 456 657 910 1221 1596 2041 2562 3165 3856 4641 5526 6517 7620 8841 10186 | +| 39 | Fibonacci:Std | PolyCol2 | missing | 1 2 7 21 64 193 581 1746 5243 15737 47224 141693 425113 1275394 3826271 11478957 34437104 103311689 | +| 40 | Fibonacci:Std | PolyCol3 | missing | 1 3 13 52 209 837 3350 13403 53617 214476 857917 3431689 13726790 54907215 219628949 878515940 | +| 41 | Fibonacci:Std | PolyDiag | missing | 1 1 7 52 526 6703 103301 1868371 38802677 910112358 23795802384 686290174449 21644672629913 | +| 42 | Fibonacci:Alt | Triangle | A354267 | 1 0 -1 1 -1 1 1 -2 2 -1 2 -3 4 -3 1 3 -5 7 -7 4 -1 5 -8 12 -14 11 -5 1 8 -13 20 -26 25 -16 6 -1 13 | +| 43 | Fibonacci:Alt | Rev | A292508 | 1 -1 0 1 -1 1 -1 2 -2 1 1 -3 4 -3 2 -1 4 -7 7 -5 3 1 -5 11 -14 12 -8 5 -1 6 -16 25 -26 20 -13 8 1 | +| 44 | Fibonacci:Alt | Inv | missing | 1 0 1 -1 1 1 1 0 -2 1 5 -1 -10 3 1 -9 2 19 -5 -4 1 -79 17 165 -44 -31 5 1 243 -52 -508 135 97 -14 | +| 45 | Fibonacci:Alt | RevInv | missing | 1 1 0 1 1 -1 1 -2 0 1 1 3 -10 -1 5 1 -4 -5 19 2 -9 1 5 -31 -44 165 17 -79 1 -6 -14 97 135 -508 -52 | +| 46 | Fibonacci:Alt | Acc | missing | 1 0 -1 1 0 1 1 -1 1 0 2 -1 3 0 1 3 -2 5 -2 2 1 5 -3 9 -5 6 1 2 8 -5 15 -11 14 -2 4 3 13 -8 25 -21 | +| 47 | Fibonacci:Alt | AccRev | missing | 1 -1 -1 1 0 1 -1 1 -1 0 1 -2 2 -1 1 -1 3 -4 3 -2 1 1 -4 7 -7 5 -3 2 -1 5 -11 14 -12 8 -5 3 1 -6 16 | +| 48 | Fibonacci:Alt | AntiDiag | missing | 1 0 1 -1 1 -1 2 -2 1 3 -3 2 5 -5 4 -1 8 -8 7 -3 13 -13 12 -7 1 21 -21 20 -14 4 34 -34 33 -26 11 -1 | +| 49 | Fibonacci:Alt | Diffx1 | missing | 1 0 -2 1 -2 3 1 -4 6 -4 2 -6 12 -12 5 3 -10 21 -28 20 -6 5 -16 36 -56 55 -30 7 8 -26 60 -104 125 | +| 50 | Fibonacci:Alt | RowSum | A039834 | 1 -1 1 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 | +| 51 | Fibonacci:Alt | EvenSum | missing | 1 0 2 3 7 14 29 59 120 243 491 990 1993 4007 8048 16151 32391 64926 130085 260547 521704 1044395 | +| 52 | Fibonacci:Alt | OddSum | A099036 | 0 -1 -1 -3 -6 -13 -27 -56 -115 -235 -478 -969 -1959 -3952 -7959 -16007 -32158 -64549 -129475 | +| 53 | Fibonacci:Alt | AltSum | A099036 | 1 1 3 6 13 27 56 115 235 478 969 1959 3952 7959 16007 32158 64549 129475 259560 520107 1041811 | +| 54 | Fibonacci:Alt | DiagSum | A106511 | 1 0 0 0 1 2 3 4 6 10 17 28 45 72 116 188 305 494 799 1292 2090 3382 5473 8856 14329 23184 37512 | +| 55 | Fibonacci:Alt | AccSum | missing | 1 -1 2 1 5 7 15 26 48 85 151 265 463 804 1390 2393 4105 7019 11967 20350 34524 58445 98747 166541 | +| 56 | Fibonacci:Alt | AccRevSum | B147316 | 1 -2 2 -1 1 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 | +| 57 | Fibonacci:Alt | RowLcm | missing | 1 1 1 2 12 420 9240 15600 96282186 131378824584 1417223198160 3668311344589320 | +| 58 | Fibonacci:Alt | RowGcd | A078315 | 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 59 | Fibonacci:Alt | RowMax | A027988 | 1 1 1 2 4 7 14 26 51 97 189 365 709 1383 2683 5270 10220 20175 39130 77533 150438 298925 580328 | +| 60 | Fibonacci:Alt | ColMiddle | B027988 | 1 0 -1 -2 4 7 -14 -26 51 97 -189 -365 709 1383 -2683 -5270 10220 20175 -39130 -77533 150438 298925 | +| 61 | Fibonacci:Alt | CentralE | missing | 1 -1 4 -14 51 -189 709 -2683 10220 -39130 150438 -580328 2245004 -8705686 33828704 -131688362 | +| 62 | Fibonacci:Alt | CentralO | missing | 0 -2 7 -26 97 -365 1383 -5270 20175 -77533 298925 -1155661 4478413 -17390359 67650909 -263589730 | +| 63 | Fibonacci:Alt | ColLeft | A212804 | 1 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 | +| 64 | Fibonacci:Alt | BinConv | missing | 1 -1 0 0 3 -3 -7 7 28 -28 -98 98 364 -364 -1352 1352 5083 -5083 -19227 19227 73151 -73151 -279565 | +| 65 | Fibonacci:Alt | InvBinConv | missing | 1 -1 4 -14 51 -189 709 -2683 10220 -39130 150438 -580328 2245004 -8705686 33828704 -131688362 | +| 66 | Fibonacci:Alt | TransNat0 | B152163 | 0 -1 1 -1 0 -1 -1 -2 -3 -5 -8 -13 -21 -34 -55 -89 -144 -233 -377 -610 -987 -1597 -2584 -4181 -6765 | +| 67 | Fibonacci:Alt | TransNat1 | B147316 | 1 -2 2 -1 1 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 | +| 68 | Fibonacci:Alt | TransSqrs | B147316 | 0 -1 3 -3 2 -1 1 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 | +| 69 | Fibonacci:Alt | PosHalf | missing | 1 -1 3 3 19 51 179 563 1843 5939 19251 62259 201523 652083 2110259 6828851 22098739 71512883 | +| 70 | Fibonacci:Alt | NegHalf | missing | 1 -1 7 -21 79 -269 935 -3189 10847 -36637 123223 -412677 1377295 -4582445 15205511 -50335125 | +| 71 | Fibonacci:Alt | DiagRow1 | A001477 | 0 -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 16 -17 18 -19 20 -21 22 -23 24 -25 26 -27 28 -29 30 | +| 72 | Fibonacci:Alt | DiagRow2 | A000124 | 1 -2 4 -7 11 -16 22 -29 37 -46 56 -67 79 -92 106 -121 137 -154 172 -191 211 -232 254 -277 301 -326 | +| 73 | Fibonacci:Alt | DiagRow3 | B004006 | 1 -3 7 -14 25 -41 63 -92 129 -175 231 -298 377 -469 575 -696 833 -987 1159 -1350 1561 -1793 2047 | +| 74 | Fibonacci:Alt | DiagCol1 | A185357 | -1 -1 -2 -3 -5 -8 -13 -21 -34 -55 -89 -144 -233 -377 -610 -987 -1597 -2584 -4181 -6765 -10946 | +| 75 | Fibonacci:Alt | DiagCol2 | B000071 | 1 2 4 7 12 20 33 54 88 143 232 376 609 986 1596 2583 4180 6764 10945 17710 28656 46367 75024 121392 | +| 76 | Fibonacci:Alt | DiagCol3 | A079921 | -1 -3 -7 -14 -26 -46 -79 -133 -221 -364 -596 -972 -1581 -2567 -4163 -6746 -10926 -17690 -28635 | +| 77 | Fibonacci:Alt | Poly | missing | 1 0 1 1 -1 1 1 1 -2 1 2 0 3 -3 1 3 1 -3 7 -4 1 5 1 4 -14 13 -5 1 8 2 -3 29 -39 21 -6 1 13 3 5 -57 | +| 78 | Fibonacci:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 79 | Fibonacci:Alt | PolyRow2 | A002061 | 1 1 3 7 13 21 31 43 57 73 91 111 133 157 183 211 241 273 307 343 381 421 463 507 553 601 651 703 | +| 80 | Fibonacci:Alt | PolyRow3 | A027444 | 1 0 -3 -14 -39 -84 -155 -258 -399 -584 -819 -1110 -1463 -1884 -2379 -2954 -3615 -4368 -5219 -6174 | +| 81 | Fibonacci:Alt | PolyCol2 | A113312 | 1 -2 3 -3 4 -3 5 -2 7 1 12 9 25 30 59 85 148 229 381 606 991 1593 2588 4177 6769 10942 17715 28653 | +| 82 | Fibonacci:Alt | PolyCol3 | missing | 1 -3 7 -14 29 -57 116 -229 463 -918 1849 -3677 7388 -14721 29531 -58918 118069 -235761 472132 | +| 83 | Fibonacci:Alt | PolyDiag | missing | 1 -1 3 -14 118 -1347 19397 -334557 6708133 -153121632 3917735284 -111009174309 3449875467545 | +| 84 | Fibonacci:Rev | Triangle | A292508 | 1 1 0 1 1 1 1 2 2 1 1 3 4 3 2 1 4 7 7 5 3 1 5 11 14 12 8 5 1 6 16 25 26 20 13 8 1 7 22 41 51 46 33 | +| 85 | Fibonacci:Rev | InvRev | missing | 1 0 1 -1 -1 1 1 0 -2 1 -1 1 2 -3 1 1 -2 -1 5 -4 1 -1 3 -1 -6 9 -5 1 1 -4 4 5 -15 14 -6 1 -1 5 -8 -1 | +| 86 | Fibonacci:Rev | Acc | missing | 1 1 1 1 2 3 1 3 5 6 1 4 8 11 13 1 5 12 19 24 27 1 6 17 31 43 51 56 1 7 23 48 74 94 107 115 1 8 30 | +| 87 | Fibonacci:Rev | AccRev | missing | 1 0 1 1 2 3 1 3 5 6 2 5 9 12 13 3 8 15 22 26 27 5 13 25 39 50 55 56 8 21 41 67 92 108 114 115 13 34 | +| 88 | Fibonacci:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 2 1 1 3 2 1 4 4 1 1 5 7 3 1 6 11 7 2 1 7 16 14 5 1 8 22 25 12 3 1 9 29 41 26 8 1 10 | +| 89 | Fibonacci:Rev | Diffx1 | missing | 1 1 0 1 2 3 1 4 6 4 1 6 12 12 10 1 8 21 28 25 18 1 10 33 56 60 48 35 1 12 48 100 130 120 91 64 1 14 | +| 90 | Fibonacci:Rev | RowSum | A099036 | 1 1 3 6 13 27 56 115 235 478 969 1959 3952 7959 16007 32158 64549 129475 259560 520107 1041811 | +| 91 | Fibonacci:Rev | EvenSum | missing | 1 1 2 3 7 13 29 56 120 235 491 969 1993 3952 8048 16007 32391 64549 130085 259560 521704 1041811 | +| 92 | Fibonacci:Rev | OddSum | missing | 0 0 1 3 6 14 27 59 115 243 478 990 1959 4007 7959 16151 32158 64926 129475 260547 520107 1044395 | +| 93 | Fibonacci:Rev | AltSum | A039834 | 1 1 1 0 1 -1 2 -3 5 -8 13 -21 34 -55 89 -144 233 -377 610 -987 1597 -2584 4181 -6765 10946 -17711 | +| 94 | Fibonacci:Rev | DiagSum | missing | 1 1 1 2 4 6 10 16 27 43 71 114 187 301 491 792 1288 2080 3376 5456 8845 14301 23167 37468 60669 | +| 95 | Fibonacci:Rev | AccSum | missing | 1 2 6 15 37 88 205 469 1058 2359 5209 11408 24809 53625 115298 246747 525885 1116696 2363477 | +| 96 | Fibonacci:Rev | AccRevSum | missing | 1 1 6 15 41 101 243 566 1292 2899 6419 14059 30519 65760 140814 299939 635997 1343329 2827723 | +| 97 | Fibonacci:Rev | RowLcm | missing | 1 1 1 2 12 420 9240 15600 96282186 131378824584 1417223198160 3668311344589320 | +| 98 | Fibonacci:Rev | RowGcd | A078315 | 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 99 | Fibonacci:Rev | RowMax | A027988 | 1 1 1 2 4 7 14 26 51 97 189 365 709 1383 2683 5270 10220 20175 39130 77533 150438 298925 580328 | +| 100 | Fibonacci:Rev | ColMiddle | missing | 1 1 1 2 4 7 14 25 51 92 189 344 709 1300 2683 4950 10220 18955 39130 72905 150438 281403 580328 | +| 101 | Fibonacci:Rev | CentralE | missing | 1 1 4 14 51 189 709 2683 10220 39130 150438 580328 2245004 8705686 33828704 131688362 | +| 102 | Fibonacci:Rev | CentralO | A108081 | 1 2 7 25 92 344 1300 4950 18955 72905 281403 1089343 4227273 16438345 64037453 249855417 | +| 103 | Fibonacci:Rev | ColRight | A212804 | 1 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 | +| 104 | Fibonacci:Rev | BinConv | missing | 1 1 4 14 51 189 709 2683 10220 39130 150438 580328 2245004 8705686 33828704 131688362 513445147 | +| 105 | Fibonacci:Rev | InvBinConv | missing | 1 -1 0 0 3 -3 -7 7 28 -28 -98 98 364 -364 -1352 1352 5083 -5083 -19227 19227 73151 -73151 -279565 | +| 106 | Fibonacci:Rev | TransNat0 | missing | 0 0 3 9 28 74 187 451 1057 2421 5450 12100 26567 57801 124807 267781 571448 1213854 2568163 5414639 | +| 107 | Fibonacci:Rev | TransNat1 | missing | 1 1 6 15 41 101 243 566 1292 2899 6419 14059 30519 65760 140814 299939 635997 1343329 2827723 | +| 108 | Fibonacci:Rev | TransSqrs | missing | 0 0 5 19 78 250 747 2071 5479 13955 34530 83470 197995 462371 1065747 2429515 5486398 12289194 | +| 109 | Fibonacci:Rev | PosHalf | missing | 1 2 7 21 64 193 581 1746 5243 15737 47224 141693 425113 1275394 3826271 11478957 34437104 103311689 | +| 110 | Fibonacci:Rev | NegHalf | A113312 | 1 -2 3 -3 4 -3 5 -2 7 1 12 9 25 30 59 85 148 229 381 606 991 1593 2588 4177 6769 10942 17715 28653 | +| 111 | Fibonacci:Rev | DiagRow1 | A185357 | 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 75025 | +| 112 | Fibonacci:Rev | DiagRow2 | B000071 | 1 2 4 7 12 20 33 54 88 143 232 376 609 986 1596 2583 4180 6764 10945 17710 28656 46367 75024 121392 | +| 113 | Fibonacci:Rev | DiagRow3 | A079921 | 1 3 7 14 26 46 79 133 221 364 596 972 1581 2567 4163 6746 10926 17690 28635 46345 75001 121368 | +| 114 | Fibonacci:Rev | DiagCol1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 115 | Fibonacci:Rev | DiagCol2 | A000124 | 1 2 4 7 11 16 22 29 37 46 56 67 79 92 106 121 137 154 172 191 211 232 254 277 301 326 352 379 407 | +| 116 | Fibonacci:Rev | DiagCol3 | B004006 | 1 3 7 14 25 41 63 92 129 175 231 298 377 469 575 696 833 987 1159 1350 1561 1793 2047 2324 2625 | +| 117 | Fibonacci:Rev | Poly | missing | 1 1 1 1 1 1 1 3 1 1 1 6 7 1 1 1 13 21 13 1 1 1 27 79 52 21 1 1 1 56 269 289 105 31 1 1 1 115 935 | +| 118 | Fibonacci:Rev | PolyRow2 | A247890 | 1 3 7 13 21 31 43 57 73 91 111 133 157 183 211 241 273 307 343 381 421 463 507 553 601 651 703 757 | +| 119 | Fibonacci:Rev | PolyRow3 | A069778 | 1 6 21 52 105 186 301 456 657 910 1221 1596 2041 2562 3165 3856 4641 5526 6517 7620 8841 10186 | +| 120 | Fibonacci:Rev | PolyCol2 | missing | 1 1 7 21 79 269 935 3189 10847 36637 123223 412677 1377295 4582445 15205511 50335125 166275263 | +| 121 | Fibonacci:Rev | PolyCol3 | missing | 1 1 13 52 289 1399 7054 34777 171913 845116 4148101 20312491 99318958 484963597 2365538629 | +| 122 | Fibonacci:Rev | PolyDiag | missing | 1 1 7 52 781 13571 314491 8525749 272533433 9906062662 405326545791 18391859856459 917023446989125 | \ No newline at end of file diff --git a/data/md/Fubini.md b/data/md/Fubini.md index eb692c5..715f920 100644 --- a/data/md/Fubini.md +++ b/data/md/Fubini.md @@ -1,76 +1,114 @@ -| | triangle | trait | anum | seq | -|---:|:-----------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | Fubini:Std | Triangle | A131689 | 1 0 1 0 1 2 0 1 6 6 0 1 14 36 24 0 1 30 150 240 120 0 1 62 540 1560 1800 720 0 1 126 1806 8400 | -| 1 | Fubini:Std | Rev | missing | 1 1 0 2 1 0 6 6 1 0 24 36 14 1 0 120 240 150 30 1 0 720 1800 1560 540 62 1 0 5040 15120 16800 8400 | -| 2 | Fubini:Std | Acc | missing | 1 0 1 0 1 3 0 1 7 13 0 1 15 51 75 0 1 31 181 421 541 0 1 63 603 2163 3963 4683 0 1 127 1933 10333 | -| 3 | Fubini:Std | AccRev | missing | 1 1 1 2 3 3 6 12 13 13 24 60 74 75 75 120 360 510 540 541 541 720 2520 4080 4620 4682 4683 4683 | -| 4 | Fubini:Std | AntiDiag | A344392 | 1 0 0 1 0 1 0 1 2 0 1 6 0 1 14 6 0 1 30 36 0 1 62 150 24 0 1 126 540 240 0 1 254 1806 1560 120 0 1 | -| 5 | Fubini:Std | Diffx1 | missing | 1 0 2 0 2 6 0 2 18 24 0 2 42 144 120 0 2 90 600 1200 720 0 2 186 2160 7800 10800 5040 0 2 378 7224 | -| 6 | Fubini:Std | RowSum | A000670 | 1 1 3 13 75 541 4683 47293 545835 7087261 102247563 1622632573 28091567595 526858348381 | -| 7 | Fubini:Std | EvenSum | A052841 | 1 0 2 6 38 270 2342 23646 272918 3543630 51123782 811316286 14045783798 263429174190 5320671485222 | -| 8 | Fubini:Std | OddSum | A089677 | 0 1 1 7 37 271 2341 23647 272917 3543631 51123781 811316287 14045783797 263429174191 5320671485221 | -| 9 | Fubini:Std | DiagSum | A105795 | 1 0 1 1 3 7 21 67 237 907 3741 16507 77517 385627 2024301 11174587 64673997 391392667 2470864941 | -| 10 | Fubini:Std | AccSum | A120368 | 1 1 4 21 142 1175 11476 129073 1641802 23292459 364530688 6237123365 115806988342 2318774566303 | -| 11 | Fubini:Std | AccRevSum | A005649 | 1 2 8 44 308 2612 25988 296564 3816548 54667412 862440068 14857100084 277474957988 5584100659412 | -| 12 | Fubini:Std | RowLcm | missing | 1 1 2 6 504 1200 4352400 6501600 31719676464000 3839514683558400 6734455286856081120000 | -| 13 | Fubini:Std | RowGcd | A141056 | 1 1 2 6 2 30 2 42 2 30 2 66 2 2730 2 6 2 510 2 798 2 330 2 138 2 2730 2 6 2 870 2 14322 | -| 14 | Fubini:Std | RowMax | A002869 | 1 1 2 6 36 240 1800 16800 191520 2328480 30240000 479001600 8083152000 142702560000 2731586457600 | -| 15 | Fubini:Std | ColMiddle | A344397 | 1 0 1 1 14 30 540 1806 40824 186480 5103000 29607600 953029440 6711344640 248619571200 | -| 16 | Fubini:Std | CentralE | B210029 | 1 1 14 540 40824 5103000 953029440 248619571200 86355926616960 38528927611574400 | -| 17 | Fubini:Std | CentralO | missing | 0 1 30 1806 186480 29607600 6711344640 2060056318320 823172919528960 415357755774998400 | -| 18 | Fubini:Std | ColRight | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 19 | Fubini:Std | BinConv | A000312 | 1 1 4 27 256 3125 46656 823543 16777216 387420489 10000000000 285311670611 8916100448256 | -| 20 | Fubini:Std | InvBinConv | A344053 | 1 1 0 -9 -40 125 3444 18571 -241872 -5796711 -24387220 1132278191 25132445832 8850583573 | -| 21 | Fubini:Std | TransNat0 | B069321 | 0 1 5 31 233 2071 21305 249271 3270713 47580151 760192505 13234467511 249383390393 5057242311031 | -| 22 | Fubini:Std | TransNat1 | A005649 | 1 2 8 44 308 2612 25988 296564 3816548 54667412 862440068 14857100084 277474957988 5584100659412 | -| 23 | Fubini:Std | TransSqrs | A083411 | 0 1 9 79 765 8311 100989 1362439 20246445 328972471 5805917469 110645911399 2265191981325 | -| 24 | Fubini:Std | PosHalf | A122704 | 1 1 4 22 160 1456 15904 202672 2951680 48361216 880405504 17630351872 385148108800 9114999832576 | -| 25 | Fubini:Std | NegHalf | A009006 | 1 1 0 -2 0 16 0 -272 0 7936 0 -353792 0 22368256 0 -1903757312 0 209865342976 0 -29088885112832 0 | -| 26 | Fubini:Std | DiagRow1 | A180119 | 0 1 6 36 240 1800 15120 141120 1451520 16329600 199584000 2634508800 37362124800 566658892800 | -| 27 | Fubini:Std | DiagRow2 | A037960 | 0 1 14 150 1560 16800 191520 2328480 30240000 419126400 6187104000 97037740800 1612798387200 | -| 28 | Fubini:Std | DiagRow3 | A037961 | 0 1 30 540 8400 126000 1905120 29635200 479001600 8083152000 142702560000 2637143308800 | -| 29 | Fubini:Std | DiagCol2 | B000918 | 2 6 14 30 62 126 254 510 1022 2046 4094 8190 16382 32766 65534 131070 262142 524286 1048574 2097150 | -| 30 | Fubini:Std | DiagCol3 | B001117 | 6 36 150 540 1806 5796 18150 55980 171006 519156 1569750 4733820 14250606 42850116 128746950 | -| 31 | Fubini:Std | Poly | A344499 | 1 0 1 0 1 1 0 3 2 1 0 13 10 3 1 0 75 74 21 4 1 0 541 730 219 36 5 1 0 4683 9002 3045 484 55 6 1 0 | -| 32 | Fubini:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 33 | Fubini:Std | PolyRow2 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | -| 34 | Fubini:Std | PolyRow3 | A094421 | 0 13 74 219 484 905 1518 2359 3464 4869 6610 8723 11244 14209 17654 21615 26128 31229 36954 43339 | -| 35 | Fubini:Std | PolyCol2 | A004123 | 1 2 10 74 730 9002 133210 2299754 45375130 1007179562 24840104410 673895590634 19944372341530 | -| 36 | Fubini:Std | PolyCol3 | A032033 | 1 3 21 219 3045 52923 1103781 26857659 746870565 23365498683 812198635941 31055758599099 | -| 37 | Fubini:Std | PolyDiag | A094420 | 1 1 10 219 8676 544505 49729758 6232661239 1026912225160 215270320769109 55954905981282210 | -| 38 | Fubini:Rev | Triangle | missing | 1 1 0 2 1 0 6 6 1 0 24 36 14 1 0 120 240 150 30 1 0 720 1800 1560 540 62 1 0 5040 15120 16800 8400 | -| 39 | Fubini:Rev | Acc | missing | 1 1 1 2 3 3 6 12 13 13 24 60 74 75 75 120 360 510 540 541 541 720 2520 4080 4620 4682 4683 4683 | -| 40 | Fubini:Rev | AccRev | missing | 1 0 1 0 1 3 0 1 7 13 0 1 15 51 75 0 1 31 181 421 541 0 1 63 603 2163 3963 4683 0 1 127 1933 10333 | -| 41 | Fubini:Rev | AntiDiag | missing | 1 1 2 0 6 1 24 6 0 120 36 1 720 240 14 0 5040 1800 150 1 40320 15120 1560 30 0 362880 141120 16800 | -| 42 | Fubini:Rev | Diffx1 | missing | 1 1 0 2 2 0 6 12 3 0 24 72 42 4 0 120 480 450 120 5 0 720 3600 4680 2160 310 6 0 5040 30240 50400 | -| 43 | Fubini:Rev | RowSum | A000670 | 1 1 3 13 75 541 4683 47293 545835 7087261 102247563 1622632573 28091567595 526858348381 | -| 44 | Fubini:Rev | EvenSum | A032109 | 1 1 2 7 38 271 2342 23647 272918 3543631 51123782 811316287 14045783798 263429174191 5320671485222 | -| 45 | Fubini:Rev | OddSum | missing | 0 0 1 6 37 270 2341 23646 272917 3543630 51123781 811316286 14045783797 263429174190 5320671485221 | -| 46 | Fubini:Rev | DiagSum | missing | 1 1 2 7 30 157 974 6991 57030 521341 5280302 58702687 710771670 9311131117 131223143774 | -| 47 | Fubini:Rev | AccSum | A005649 | 1 2 8 44 308 2612 25988 296564 3816548 54667412 862440068 14857100084 277474957988 5584100659412 | -| 48 | Fubini:Rev | AccRevSum | A120368 | 1 1 4 21 142 1175 11476 129073 1641802 23292459 364530688 6237123365 115806988342 2318774566303 | -| 49 | Fubini:Rev | RowLcm | missing | 1 1 2 6 504 1200 4352400 6501600 31719676464000 3839514683558400 6734455286856081120000 | -| 50 | Fubini:Rev | RowGcd | A141056 | 1 1 2 6 2 30 2 42 2 30 2 66 2 2730 2 6 2 510 2 798 2 330 2 138 2 2730 2 6 2 870 2 14322 | -| 51 | Fubini:Rev | RowMax | A002869 | 1 1 2 6 36 240 1800 16800 191520 2328480 30240000 479001600 8083152000 142702560000 2731586457600 | -| 52 | Fubini:Rev | ColMiddle | missing | 1 1 1 6 14 150 540 8400 40824 834120 5103000 129230640 953029440 28805736960 248619571200 | -| 53 | Fubini:Rev | CentralE | B210029 | 1 1 14 540 40824 5103000 953029440 248619571200 86355926616960 38528927611574400 | -| 54 | Fubini:Rev | CentralO | A233734 | 1 6 150 8400 834120 129230640 28805736960 8734434508800 3457819037312640 1732015476199008000 | -| 55 | Fubini:Rev | ColLeft | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 56 | Fubini:Rev | BinConv | A000312 | 1 1 4 27 256 3125 46656 823543 16777216 387420489 10000000000 285311670611 8916100448256 | -| 57 | Fubini:Rev | InvBinConv | A344053 | 1 -1 0 9 -40 -125 3444 -18571 -241872 5796711 -24387220 -1132278191 25132445832 -8850583573 | -| 58 | Fubini:Rev | TransNat0 | missing | 0 0 1 8 67 634 6793 81780 1095967 16205198 262283125 4614490792 87715420747 1791916217922 | -| 59 | Fubini:Rev | TransNat1 | A120368 | 1 1 4 21 142 1175 11476 129073 1641802 23292459 364530688 6237123365 115806988342 2318774566303 | -| 60 | Fubini:Rev | TransSqrs | missing | 0 0 1 10 101 1126 13917 190002 2848477 46597894 826823669 15826167490 325176345573 7140551306214 | -| 61 | Fubini:Rev | PosHalf | A004123 | 1 2 10 74 730 9002 133210 2299754 45375130 1007179562 24840104410 673895590634 19944372341530 | -| 62 | Fubini:Rev | NegHalf | A000629 | 1 -2 6 -26 150 -1082 9366 -94586 1091670 -14174522 204495126 -3245265146 56183135190 -1053716696762 | -| 63 | Fubini:Rev | DiagRow2 | B000918 | 2 6 14 30 62 126 254 510 1022 2046 4094 8190 16382 32766 65534 131070 262142 524286 1048574 2097150 | -| 64 | Fubini:Rev | DiagRow3 | B001117 | 6 36 150 540 1806 5796 18150 55980 171006 519156 1569750 4733820 14250606 42850116 128746950 | -| 65 | Fubini:Rev | DiagCol1 | A180119 | 0 1 6 36 240 1800 15120 141120 1451520 16329600 199584000 2634508800 37362124800 566658892800 | -| 66 | Fubini:Rev | DiagCol2 | A037960 | 0 1 14 150 1560 16800 191520 2328480 30240000 419126400 6187104000 97037740800 1612798387200 | -| 67 | Fubini:Rev | DiagCol3 | A037961 | 0 1 30 540 8400 126000 1905120 29635200 479001600 8083152000 142702560000 2637143308800 | -| 68 | Fubini:Rev | Poly | missing | 1 1 1 2 1 1 6 3 1 1 24 13 4 1 1 120 75 22 5 1 1 720 541 160 33 6 1 1 5040 4683 1456 285 46 7 1 1 | -| 69 | Fubini:Rev | PolyRow2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | -| 70 | Fubini:Rev | PolyRow3 | B028872 | 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 673 726 781 838 | -| 71 | Fubini:Rev | PolyCol2 | A122704 | 1 1 4 22 160 1456 15904 202672 2951680 48361216 880405504 17630351872 385148108800 9114999832576 | -| 72 | Fubini:Rev | PolyCol3 | A255927 | 1 1 5 33 285 3081 40005 606033 10491885 204343641 4422082005 105265315233 2733583519485 | -| 73 | Fubini:Rev | PolyDiag | A331690 | 1 1 4 33 456 9445 272448 10386817 503758720 30202999821 2189000524800 188349613075393 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:-----------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | Fubini:Std | Triangle | A131689 | 1 0 1 0 1 2 0 1 6 6 0 1 14 36 24 0 1 30 150 240 120 0 1 62 540 1560 1800 720 0 1 126 1806 8400 | +| 1 | Fubini:Std | Rev | missing | 1 1 0 2 1 0 6 6 1 0 24 36 14 1 0 120 240 150 30 1 0 720 1800 1560 540 62 1 0 5040 15120 16800 8400 | +| 2 | Fubini:Std | Acc | missing | 1 0 1 0 1 3 0 1 7 13 0 1 15 51 75 0 1 31 181 421 541 0 1 63 603 2163 3963 4683 0 1 127 1933 10333 | +| 3 | Fubini:Std | AccRev | missing | 1 1 1 2 3 3 6 12 13 13 24 60 74 75 75 120 360 510 540 541 541 720 2520 4080 4620 4682 4683 4683 | +| 4 | Fubini:Std | AntiDiag | A344392 | 1 0 0 1 0 1 0 1 2 0 1 6 0 1 14 6 0 1 30 36 0 1 62 150 24 0 1 126 540 240 0 1 254 1806 1560 120 0 1 | +| 5 | Fubini:Std | Diffx1 | missing | 1 0 2 0 2 6 0 2 18 24 0 2 42 144 120 0 2 90 600 1200 720 0 2 186 2160 7800 10800 5040 0 2 378 7224 | +| 6 | Fubini:Std | RowSum | A000670 | 1 1 3 13 75 541 4683 47293 545835 7087261 102247563 1622632573 28091567595 526858348381 | +| 7 | Fubini:Std | EvenSum | A052841 | 1 0 2 6 38 270 2342 23646 272918 3543630 51123782 811316286 14045783798 263429174190 5320671485222 | +| 8 | Fubini:Std | OddSum | A089677 | 0 1 1 7 37 271 2341 23647 272917 3543631 51123781 811316287 14045783797 263429174191 5320671485221 | +| 9 | Fubini:Std | DiagSum | A105795 | 1 0 1 1 3 7 21 67 237 907 3741 16507 77517 385627 2024301 11174587 64673997 391392667 2470864941 | +| 10 | Fubini:Std | AccSum | A120368 | 1 1 4 21 142 1175 11476 129073 1641802 23292459 364530688 6237123365 115806988342 2318774566303 | +| 11 | Fubini:Std | AccRevSum | A005649 | 1 2 8 44 308 2612 25988 296564 3816548 54667412 862440068 14857100084 277474957988 5584100659412 | +| 12 | Fubini:Std | RowLcm | missing | 1 1 2 6 504 1200 4352400 6501600 31719676464000 3839514683558400 6734455286856081120000 | +| 13 | Fubini:Std | RowGcd | A141056 | 1 1 2 6 2 30 2 42 2 30 2 66 2 2730 2 6 2 510 2 798 2 330 2 138 2 2730 2 6 2 870 2 14322 | +| 14 | Fubini:Std | RowMax | A002869 | 1 1 2 6 36 240 1800 16800 191520 2328480 30240000 479001600 8083152000 142702560000 2731586457600 | +| 15 | Fubini:Std | ColMiddle | A344397 | 1 0 1 1 14 30 540 1806 40824 186480 5103000 29607600 953029440 6711344640 248619571200 | +| 16 | Fubini:Std | CentralE | B210029 | 1 1 14 540 40824 5103000 953029440 248619571200 86355926616960 38528927611574400 | +| 17 | Fubini:Std | CentralO | A367392 | 0 1 30 1806 186480 29607600 6711344640 2060056318320 823172919528960 415357755774998400 | +| 18 | Fubini:Std | ColRight | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 19 | Fubini:Std | BinConv | A000312 | 1 1 4 27 256 3125 46656 823543 16777216 387420489 10000000000 285311670611 8916100448256 | +| 20 | Fubini:Std | InvBinConv | A344053 | 1 1 0 -9 -40 125 3444 18571 -241872 -5796711 -24387220 1132278191 25132445832 8850583573 | +| 21 | Fubini:Std | TransNat0 | B069321 | 0 1 5 31 233 2071 21305 249271 3270713 47580151 760192505 13234467511 249383390393 5057242311031 | +| 22 | Fubini:Std | TransNat1 | A005649 | 1 2 8 44 308 2612 25988 296564 3816548 54667412 862440068 14857100084 277474957988 5584100659412 | +| 23 | Fubini:Std | TransSqrs | A083411 | 0 1 9 79 765 8311 100989 1362439 20246445 328972471 5805917469 110645911399 2265191981325 | +| 24 | Fubini:Std | PosHalf | A122704 | 1 1 4 22 160 1456 15904 202672 2951680 48361216 880405504 17630351872 385148108800 9114999832576 | +| 25 | Fubini:Std | NegHalf | A009006 | 1 1 0 -2 0 16 0 -272 0 7936 0 -353792 0 22368256 0 -1903757312 0 209865342976 0 -29088885112832 0 | +| 26 | Fubini:Std | DiagRow1 | A180119 | 0 1 6 36 240 1800 15120 141120 1451520 16329600 199584000 2634508800 37362124800 566658892800 | +| 27 | Fubini:Std | DiagRow2 | A037960 | 0 1 14 150 1560 16800 191520 2328480 30240000 419126400 6187104000 97037740800 1612798387200 | +| 28 | Fubini:Std | DiagRow3 | A037961 | 0 1 30 540 8400 126000 1905120 29635200 479001600 8083152000 142702560000 2637143308800 | +| 29 | Fubini:Std | DiagCol2 | B000918 | 2 6 14 30 62 126 254 510 1022 2046 4094 8190 16382 32766 65534 131070 262142 524286 1048574 2097150 | +| 30 | Fubini:Std | DiagCol3 | B001117 | 6 36 150 540 1806 5796 18150 55980 171006 519156 1569750 4733820 14250606 42850116 128746950 | +| 31 | Fubini:Std | Poly | A344499 | 1 0 1 0 1 1 0 3 2 1 0 13 10 3 1 0 75 74 21 4 1 0 541 730 219 36 5 1 0 4683 9002 3045 484 55 6 1 0 | +| 32 | Fubini:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 33 | Fubini:Std | PolyRow2 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | +| 34 | Fubini:Std | PolyRow3 | A094421 | 0 13 74 219 484 905 1518 2359 3464 4869 6610 8723 11244 14209 17654 21615 26128 31229 36954 43339 | +| 35 | Fubini:Std | PolyCol2 | A004123 | 1 2 10 74 730 9002 133210 2299754 45375130 1007179562 24840104410 673895590634 19944372341530 | +| 36 | Fubini:Std | PolyCol3 | A032033 | 1 3 21 219 3045 52923 1103781 26857659 746870565 23365498683 812198635941 31055758599099 | +| 37 | Fubini:Std | PolyDiag | A094420 | 1 1 10 219 8676 544505 49729758 6232661239 1026912225160 215270320769109 55954905981282210 | +| 38 | Fubini:Alt | Triangle | A131689 | 1 0 -1 0 -1 2 0 -1 6 -6 0 -1 14 -36 24 0 -1 30 -150 240 -120 0 -1 62 -540 1560 -1800 720 0 -1 126 | +| 39 | Fubini:Alt | Rev | missing | 1 -1 0 2 -1 0 -6 6 -1 0 24 -36 14 -1 0 -120 240 -150 30 -1 0 720 -1800 1560 -540 62 -1 0 -5040 | +| 40 | Fubini:Alt | Acc | missing | 1 0 -1 0 -1 1 0 -1 5 -1 0 -1 13 -23 1 0 -1 29 -121 119 -1 0 -1 61 -479 1081 -719 1 0 -1 125 -1681 | +| 41 | Fubini:Alt | AccRev | missing | 1 -1 -1 2 1 1 -6 0 -1 -1 24 -12 2 1 1 -120 120 -30 0 -1 -1 720 -1080 480 -60 2 1 1 -5040 10080 | +| 42 | Fubini:Alt | AntiDiag | A344392 | 1 0 0 -1 0 -1 0 -1 2 0 -1 6 0 -1 14 -6 0 -1 30 -36 0 -1 62 -150 24 0 -1 126 -540 240 0 -1 254 -1806 | +| 43 | Fubini:Alt | Diffx1 | missing | 1 0 -2 0 -2 6 0 -2 18 -24 0 -2 42 -144 120 0 -2 90 -600 1200 -720 0 -2 186 -2160 7800 -10800 5040 0 | +| 44 | Fubini:Alt | EvenSum | A052841 | 1 0 2 6 38 270 2342 23646 272918 3543630 51123782 811316286 14045783798 263429174190 5320671485222 | +| 45 | Fubini:Alt | OddSum | A089677 | 0 -1 -1 -7 -37 -271 -2341 -23647 -272917 -3543631 -51123781 -811316287 -14045783797 -263429174191 | +| 46 | Fubini:Alt | AltSum | A000670 | 1 1 3 13 75 541 4683 47293 545835 7087261 102247563 1622632573 28091567595 526858348381 | +| 47 | Fubini:Alt | DiagSum | missing | 1 0 -1 -1 1 5 7 -7 -65 -175 -113 1313 7615 21665 3967 -351967 -2337665 -8401375 -5391233 176760353 | +| 48 | Fubini:Alt | AccSum | B000247 | 1 -1 0 3 -10 25 -56 119 -246 501 -1012 2035 -4082 8177 -16368 32751 -65518 131053 -262124 524267 | +| 49 | Fubini:Alt | AccRevSum | A000079 | 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 -524288 | +| 50 | Fubini:Alt | RowLcm | missing | 1 1 2 6 504 1200 4352400 6501600 31719676464000 3839514683558400 6734455286856081120000 | +| 51 | Fubini:Alt | RowGcd | A141056 | 1 1 2 6 2 30 2 42 2 30 2 66 2 2730 2 6 2 510 2 798 2 330 2 138 2 2730 2 6 2 870 2 14322 | +| 52 | Fubini:Alt | RowMax | A002869 | 1 1 2 6 36 240 1800 16800 191520 2328480 30240000 479001600 8083152000 142702560000 2731586457600 | +| 53 | Fubini:Alt | ColMiddle | A344397 | 1 0 -1 -1 14 30 -540 -1806 40824 186480 -5103000 -29607600 953029440 6711344640 -248619571200 | +| 54 | Fubini:Alt | CentralE | B210029 | 1 -1 14 -540 40824 -5103000 953029440 -248619571200 86355926616960 -38528927611574400 | +| 55 | Fubini:Alt | CentralO | A367392 | 0 -1 30 -1806 186480 -29607600 6711344640 -2060056318320 823172919528960 -415357755774998400 | +| 56 | Fubini:Alt | ColRight | A000142 | 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | +| 57 | Fubini:Alt | BinConv | A344053 | 1 -1 0 9 -40 -125 3444 -18571 -241872 5796711 -24387220 -1132278191 25132445832 -8850583573 | +| 58 | Fubini:Alt | InvBinConv | A000312 | 1 -1 4 -27 256 -3125 46656 -823543 16777216 -387420489 10000000000 -285311670611 8916100448256 | +| 59 | Fubini:Alt | TransNat0 | A000225 | 0 -1 3 -7 15 -31 63 -127 255 -511 1023 -2047 4095 -8191 16383 -32767 65535 -131071 262143 -524287 | +| 60 | Fubini:Alt | TransNat1 | A000079 | 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 -524288 | +| 61 | Fubini:Alt | TransSqrs | A091344 | 0 -1 7 -31 115 -391 1267 -3991 12355 -37831 115027 -348151 1050595 -3164071 9516787 -28599511 | +| 62 | Fubini:Alt | PosHalf | A009006 | 1 -1 0 2 0 -16 0 272 0 -7936 0 353792 0 -22368256 0 1903757312 0 -209865342976 0 29088885112832 0 | +| 63 | Fubini:Alt | NegHalf | A122704 | 1 -1 4 -22 160 -1456 15904 -202672 2951680 -48361216 880405504 -17630351872 385148108800 | +| 64 | Fubini:Alt | DiagRow1 | A180119 | 0 -1 6 -36 240 -1800 15120 -141120 1451520 -16329600 199584000 -2634508800 37362124800 | +| 65 | Fubini:Alt | DiagRow2 | A037960 | 0 -1 14 -150 1560 -16800 191520 -2328480 30240000 -419126400 6187104000 -97037740800 1612798387200 | +| 66 | Fubini:Alt | DiagRow3 | A037961 | 0 -1 30 -540 8400 -126000 1905120 -29635200 479001600 -8083152000 142702560000 -2637143308800 | +| 67 | Fubini:Alt | DiagCol2 | B000918 | 2 6 14 30 62 126 254 510 1022 2046 4094 8190 16382 32766 65534 131070 262142 524286 1048574 2097150 | +| 68 | Fubini:Alt | DiagCol3 | B001117 | -6 -36 -150 -540 -1806 -5796 -18150 -55980 -171006 -519156 -1569750 -4733820 -14250606 -42850116 | +| 69 | Fubini:Alt | Poly | missing | 1 0 1 0 -1 1 0 1 -2 1 0 -1 6 -3 1 0 1 -26 15 -4 1 0 -1 150 -111 28 -5 1 0 1 -1082 1095 -292 45 -6 1 | +| 70 | Fubini:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 71 | Fubini:Alt | PolyRow2 | A000384 | 0 1 6 15 28 45 66 91 120 153 190 231 276 325 378 435 496 561 630 703 780 861 946 1035 1128 1225 | +| 72 | Fubini:Alt | PolyRow3 | missing | 0 -1 -26 -111 -292 -605 -1086 -1771 -2696 -3897 -5410 -7271 -9516 -12181 -15302 -18915 -23056 | +| 73 | Fubini:Alt | PolyCol2 | A000629 | 1 -2 6 -26 150 -1082 9366 -94586 1091670 -14174522 204495126 -3245265146 56183135190 -1053716696762 | +| 74 | Fubini:Alt | PolyCol3 | A201339 | 1 -3 15 -111 1095 -13503 199815 -3449631 68062695 -1510769343 37260156615 -1010843385951 | +| 75 | Fubini:Alt | PolyDiag | missing | 1 -1 6 -111 4060 -243005 21502866 -2634606331 426748573560 -88276603008249 22701981269322190 | +| 76 | Fubini:Rev | Triangle | missing | 1 1 0 2 1 0 6 6 1 0 24 36 14 1 0 120 240 150 30 1 0 720 1800 1560 540 62 1 0 5040 15120 16800 8400 | +| 77 | Fubini:Rev | Acc | missing | 1 1 1 2 3 3 6 12 13 13 24 60 74 75 75 120 360 510 540 541 541 720 2520 4080 4620 4682 4683 4683 | +| 78 | Fubini:Rev | AccRev | missing | 1 0 1 0 1 3 0 1 7 13 0 1 15 51 75 0 1 31 181 421 541 0 1 63 603 2163 3963 4683 0 1 127 1933 10333 | +| 79 | Fubini:Rev | AntiDiag | missing | 1 1 2 0 6 1 24 6 0 120 36 1 720 240 14 0 5040 1800 150 1 40320 15120 1560 30 0 362880 141120 16800 | +| 80 | Fubini:Rev | Diffx1 | missing | 1 1 0 2 2 0 6 12 3 0 24 72 42 4 0 120 480 450 120 5 0 720 3600 4680 2160 310 6 0 5040 30240 50400 | +| 81 | Fubini:Rev | RowSum | A000670 | 1 1 3 13 75 541 4683 47293 545835 7087261 102247563 1622632573 28091567595 526858348381 | +| 82 | Fubini:Rev | EvenSum | A032109 | 1 1 2 7 38 271 2342 23647 272918 3543631 51123782 811316287 14045783798 263429174191 5320671485222 | +| 83 | Fubini:Rev | OddSum | missing | 0 0 1 6 37 270 2341 23646 272917 3543630 51123781 811316286 14045783797 263429174190 5320671485221 | +| 84 | Fubini:Rev | DiagSum | missing | 1 1 2 7 30 157 974 6991 57030 521341 5280302 58702687 710771670 9311131117 131223143774 | +| 85 | Fubini:Rev | AccSum | A005649 | 1 2 8 44 308 2612 25988 296564 3816548 54667412 862440068 14857100084 277474957988 5584100659412 | +| 86 | Fubini:Rev | AccRevSum | A120368 | 1 1 4 21 142 1175 11476 129073 1641802 23292459 364530688 6237123365 115806988342 2318774566303 | +| 87 | Fubini:Rev | RowLcm | missing | 1 1 2 6 504 1200 4352400 6501600 31719676464000 3839514683558400 6734455286856081120000 | +| 88 | Fubini:Rev | RowGcd | A141056 | 1 1 2 6 2 30 2 42 2 30 2 66 2 2730 2 6 2 510 2 798 2 330 2 138 2 2730 2 6 2 870 2 14322 | +| 89 | Fubini:Rev | RowMax | A002869 | 1 1 2 6 36 240 1800 16800 191520 2328480 30240000 479001600 8083152000 142702560000 2731586457600 | +| 90 | Fubini:Rev | ColMiddle | missing | 1 1 1 6 14 150 540 8400 40824 834120 5103000 129230640 953029440 28805736960 248619571200 | +| 91 | Fubini:Rev | CentralE | B210029 | 1 1 14 540 40824 5103000 953029440 248619571200 86355926616960 38528927611574400 | +| 92 | Fubini:Rev | CentralO | A233734 | 1 6 150 8400 834120 129230640 28805736960 8734434508800 3457819037312640 1732015476199008000 | +| 93 | Fubini:Rev | ColLeft | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 94 | Fubini:Rev | BinConv | A000312 | 1 1 4 27 256 3125 46656 823543 16777216 387420489 10000000000 285311670611 8916100448256 | +| 95 | Fubini:Rev | InvBinConv | A344053 | 1 -1 0 9 -40 -125 3444 -18571 -241872 5796711 -24387220 -1132278191 25132445832 -8850583573 | +| 96 | Fubini:Rev | TransNat0 | missing | 0 0 1 8 67 634 6793 81780 1095967 16205198 262283125 4614490792 87715420747 1791916217922 | +| 97 | Fubini:Rev | TransNat1 | A120368 | 1 1 4 21 142 1175 11476 129073 1641802 23292459 364530688 6237123365 115806988342 2318774566303 | +| 98 | Fubini:Rev | TransSqrs | missing | 0 0 1 10 101 1126 13917 190002 2848477 46597894 826823669 15826167490 325176345573 7140551306214 | +| 99 | Fubini:Rev | PosHalf | A004123 | 1 2 10 74 730 9002 133210 2299754 45375130 1007179562 24840104410 673895590634 19944372341530 | +| 100 | Fubini:Rev | NegHalf | A000629 | 1 -2 6 -26 150 -1082 9366 -94586 1091670 -14174522 204495126 -3245265146 56183135190 -1053716696762 | +| 101 | Fubini:Rev | DiagRow2 | B000918 | 2 6 14 30 62 126 254 510 1022 2046 4094 8190 16382 32766 65534 131070 262142 524286 1048574 2097150 | +| 102 | Fubini:Rev | DiagRow3 | B001117 | 6 36 150 540 1806 5796 18150 55980 171006 519156 1569750 4733820 14250606 42850116 128746950 | +| 103 | Fubini:Rev | DiagCol1 | A180119 | 0 1 6 36 240 1800 15120 141120 1451520 16329600 199584000 2634508800 37362124800 566658892800 | +| 104 | Fubini:Rev | DiagCol2 | A037960 | 0 1 14 150 1560 16800 191520 2328480 30240000 419126400 6187104000 97037740800 1612798387200 | +| 105 | Fubini:Rev | DiagCol3 | A037961 | 0 1 30 540 8400 126000 1905120 29635200 479001600 8083152000 142702560000 2637143308800 | +| 106 | Fubini:Rev | Poly | missing | 1 1 1 2 1 1 6 3 1 1 24 13 4 1 1 120 75 22 5 1 1 720 541 160 33 6 1 1 5040 4683 1456 285 46 7 1 1 | +| 107 | Fubini:Rev | PolyRow2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | +| 108 | Fubini:Rev | PolyRow3 | B028872 | 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 673 726 781 838 | +| 109 | Fubini:Rev | PolyCol2 | A122704 | 1 1 4 22 160 1456 15904 202672 2951680 48361216 880405504 17630351872 385148108800 9114999832576 | +| 110 | Fubini:Rev | PolyCol3 | A255927 | 1 1 5 33 285 3081 40005 606033 10491885 204343641 4422082005 105265315233 2733583519485 | +| 111 | Fubini:Rev | PolyDiag | A331690 | 1 1 4 33 456 9445 272448 10386817 503758720 30202999821 2189000524800 188349613075393 | \ No newline at end of file diff --git a/data/md/FussCatalan.md b/data/md/FussCatalan.md index 058dc61..ad3e0e3 100644 --- a/data/md/FussCatalan.md +++ b/data/md/FussCatalan.md @@ -1,78 +1,117 @@ -| | triangle | trait | anum | seq | -|---:|:----------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | FussCatalan:Std | Triangle | A355173 | 1 0 1 0 1 2 0 1 3 5 0 1 4 9 14 0 1 5 14 28 42 0 1 6 20 48 90 132 0 1 7 27 75 165 297 429 0 1 8 35 | -| 1 | FussCatalan:Std | Rev | missing | 1 1 0 2 1 0 5 3 1 0 14 9 4 1 0 42 28 14 5 1 0 132 90 48 20 6 1 0 429 297 165 75 27 7 1 0 1430 1001 | -| 2 | FussCatalan:Std | Acc | missing | 1 0 1 0 1 3 0 1 4 9 0 1 5 14 28 0 1 6 20 48 90 0 1 7 27 75 165 297 0 1 8 35 110 275 572 1001 0 1 9 | -| 3 | FussCatalan:Std | AccRev | missing | 1 1 1 2 3 3 5 8 9 9 14 23 27 28 28 42 70 84 89 90 90 132 222 270 290 296 297 297 429 726 891 966 | -| 4 | FussCatalan:Std | AntiDiag | B289871 | 1 0 0 1 0 1 0 1 2 0 1 3 0 1 4 5 0 1 5 9 0 1 6 14 14 0 1 7 20 28 0 1 8 27 48 42 0 1 9 35 75 90 0 1 | -| 5 | FussCatalan:Std | Diffx1 | missing | 1 0 2 0 2 6 0 2 9 20 0 2 12 36 70 0 2 15 56 140 252 0 2 18 80 240 540 924 0 2 21 108 375 990 2079 | -| 6 | FussCatalan:Std | RowSum | A071724 | 1 1 3 9 28 90 297 1001 3432 11934 41990 149226 534888 1931540 7020405 25662825 94287120 347993910 | -| 7 | FussCatalan:Std | EvenSum | missing | 1 0 2 3 18 33 186 379 2120 4596 25724 58082 325878 757259 4260282 10114131 57048048 137698584 | -| 8 | FussCatalan:Std | OddSum | missing | 0 1 1 6 10 57 111 622 1312 7338 16266 91144 209010 1174281 2760123 15548694 37239072 210295326 | -| 9 | FussCatalan:Std | AltSum | A000958 | 1 -1 1 -3 8 -24 75 -243 808 -2742 9458 -33062 116868 -417022 1500159 -5434563 19808976 -72596742 | -| 10 | FussCatalan:Std | DiagSum | A037952 | 1 0 1 1 3 4 10 15 35 56 126 210 462 792 1716 3003 6435 11440 24310 43758 92378 167960 352716 646646 | -| 11 | FussCatalan:Std | AccSum | A002057 | 1 1 4 14 48 165 572 2002 7072 25194 90440 326876 1188640 4345965 15967980 58929450 218349120 | -| 12 | FussCatalan:Std | AccRevSum | missing | 1 2 8 31 120 465 1804 7007 27248 106080 413440 1613062 6299792 24627135 96358500 377338575 | -| 13 | FussCatalan:Std | RowLcm | missing | 1 1 2 15 252 420 7920 675675 200200 1225224 888844320 135795660 28830463200 34420042800 21416915520 | -| 14 | FussCatalan:Std | RowGcd | B297382 | 1 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 | -| 15 | FussCatalan:Std | RowMax | A000108 | 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | -| 16 | FussCatalan:Std | ColMiddle | missing | 1 0 1 1 4 5 20 27 110 154 637 910 3808 5508 23256 33915 144210 211508 904475 1332045 5722860 | -| 17 | FussCatalan:Std | CentralE | A262394 | 1 1 4 20 110 637 3808 23256 144210 904475 5722860 36463440 233646504 1504152860 9721421440 | -| 18 | FussCatalan:Std | CentralO | missing | 0 1 5 27 154 910 5508 33915 211508 1332045 8454225 53993940 346618440 2234741392 14460614392 | -| 19 | FussCatalan:Std | ColRight | A000108 | 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | -| 20 | FussCatalan:Std | BinConv | missing | 1 1 4 17 78 377 1888 9697 50746 269393 1446300 7835313 42762822 234825801 1296205368 7186510785 | -| 21 | FussCatalan:Std | InvBinConv | A105811 | 1 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 | -| 22 | FussCatalan:Std | TransNat0 | missing | 0 1 5 22 92 375 1507 6006 23816 94146 371450 1463836 5764904 22695595 89338095 351675750 1384531920 | -| 23 | FussCatalan:Std | TransNat1 | missing | 1 2 8 31 120 465 1804 7007 27248 106080 413440 1613062 6299792 24627135 96358500 377338575 | -| 24 | FussCatalan:Std | TransSqrs | missing | 0 1 9 58 322 1645 7975 37310 170144 761226 3355970 14624148 63131642 270444005 1151116995 | -| 25 | FussCatalan:Std | PosHalf | B001791 | 1 1 4 15 56 210 792 3003 11440 43758 167960 646646 2496144 9657700 37442160 145422675 565722720 | -| 26 | FussCatalan:Std | NegHalf | missing | 1 1 0 3 4 18 48 167 540 1854 6368 22302 78792 281252 1011744 3665583 13361676 48971142 180347904 | -| 27 | FussCatalan:Std | DiagRow1 | A000245 | 0 1 3 9 28 90 297 1001 3432 11934 41990 149226 534888 1931540 7020405 25662825 94287120 347993910 | -| 28 | FussCatalan:Std | DiagRow2 | A099376 | 0 1 4 14 48 165 572 2002 7072 25194 90440 326876 1188640 4345965 15967980 58929450 218349120 | -| 29 | FussCatalan:Std | DiagRow3 | A000344 | 0 1 5 20 75 275 1001 3640 13260 48450 177650 653752 2414425 8947575 33266625 124062000 463991880 | -| 30 | FussCatalan:Std | DiagCol2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | -| 31 | FussCatalan:Std | DiagCol3 | B000096 | 5 9 14 20 27 35 44 54 65 77 90 104 119 135 152 170 189 209 230 252 275 299 324 350 377 405 434 464 | -| 32 | FussCatalan:Std | Poly | missing | 1 0 1 0 1 1 0 3 2 1 0 9 10 3 1 0 28 54 21 4 1 0 90 314 165 36 5 1 0 297 1926 1416 372 55 6 1 0 1001 | -| 33 | FussCatalan:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 34 | FussCatalan:Std | PolyRow2 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | -| 35 | FussCatalan:Std | PolyRow3 | missing | 0 9 54 165 372 705 1194 1869 2760 3897 5310 7029 9084 11505 14322 17565 21264 25449 30150 35397 | -| 36 | FussCatalan:Std | PolyCol2 | missing | 1 2 10 54 314 1926 12282 80646 541690 3704838 25714682 180674566 1282572282 9185067014 66279309306 | -| 37 | FussCatalan:Std | PolyCol3 | missing | 1 3 21 165 1416 12900 122583 1201701 12065160 123442194 1282411290 13491759162 143452633044 | -| 38 | FussCatalan:Std | PolyDiag | missing | 1 1 10 165 4228 150630 6925182 391204541 26250094600 2041508615598 180639303835010 | -| 39 | FussCatalan:Rev | Triangle | missing | 1 1 0 2 1 0 5 3 1 0 14 9 4 1 0 42 28 14 5 1 0 132 90 48 20 6 1 0 429 297 165 75 27 7 1 0 1430 1001 | -| 40 | FussCatalan:Rev | Acc | missing | 1 1 1 2 3 3 5 8 9 9 14 23 27 28 28 42 70 84 89 90 90 132 222 270 290 296 297 297 429 726 891 966 | -| 41 | FussCatalan:Rev | AccRev | missing | 1 0 1 0 1 3 0 1 4 9 0 1 5 14 28 0 1 6 20 48 90 0 1 7 27 75 165 297 0 1 8 35 110 275 572 1001 0 1 9 | -| 42 | FussCatalan:Rev | AntiDiag | missing | 1 1 2 0 5 1 14 3 0 42 9 1 132 28 4 0 429 90 14 1 1430 297 48 5 0 4862 1001 165 20 1 16796 3432 572 | -| 43 | FussCatalan:Rev | Diffx1 | missing | 1 1 0 2 2 0 5 6 3 0 14 18 12 4 0 42 56 42 20 5 0 132 180 144 80 30 6 0 429 594 495 300 135 42 7 0 | -| 44 | FussCatalan:Rev | RowSum | A071724 | 1 1 3 9 28 90 297 1001 3432 11934 41990 149226 534888 1931540 7020405 25662825 94287120 347993910 | -| 45 | FussCatalan:Rev | EvenSum | A104629 | 1 1 2 6 18 57 186 622 2120 7338 25724 91144 325878 1174281 4260282 15548694 57048048 210295326 | -| 46 | FussCatalan:Rev | OddSum | B001558 | 0 0 1 3 10 33 111 379 1312 4596 16266 58082 209010 757259 2760123 10114131 37239072 137698584 | -| 47 | FussCatalan:Rev | AltSum | A000958 | 1 1 1 3 8 24 75 243 808 2742 9458 33062 116868 417022 1500159 5434563 19808976 72596742 267343374 | -| 48 | FussCatalan:Rev | DiagSum | missing | 1 1 2 6 17 52 164 534 1780 6049 20881 73025 258192 921425 3314828 12008581 43770386 160405503 | -| 49 | FussCatalan:Rev | AccSum | missing | 1 2 8 31 120 465 1804 7007 27248 106080 413440 1613062 6299792 24627135 96358500 377338575 | -| 50 | FussCatalan:Rev | AccRevSum | A002057 | 1 1 4 14 48 165 572 2002 7072 25194 90440 326876 1188640 4345965 15967980 58929450 218349120 | -| 51 | FussCatalan:Rev | RowLcm | missing | 1 1 2 15 252 420 7920 675675 200200 1225224 888844320 135795660 28830463200 34420042800 21416915520 | -| 52 | FussCatalan:Rev | RowGcd | B297382 | 1 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 | -| 53 | FussCatalan:Rev | RowMax | A000108 | 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | -| 54 | FussCatalan:Rev | ColMiddle | missing | 1 1 1 3 4 14 20 75 110 429 637 2548 3808 15504 23256 95931 144210 600875 904475 3798795 5722860 | -| 55 | FussCatalan:Rev | CentralE | A262394 | 1 1 4 20 110 637 3808 23256 144210 904475 5722860 36463440 233646504 1504152860 9721421440 | -| 56 | FussCatalan:Rev | CentralO | A026004 | 1 3 14 75 429 2548 15504 95931 600875 3798795 24192090 154969620 997490844 6446369400 41802112192 | -| 57 | FussCatalan:Rev | ColLeft | A000108 | 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | -| 58 | FussCatalan:Rev | BinConv | missing | 1 1 4 17 78 377 1888 9697 50746 269393 1446300 7835313 42762822 234825801 1296205368 7186510785 | -| 59 | FussCatalan:Rev | InvBinConv | A105811 | 1 -1 0 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 | -| 60 | FussCatalan:Rev | TransNat0 | B000344 | 0 0 1 5 20 75 275 1001 3640 13260 48450 177650 653752 2414425 8947575 33266625 124062000 463991880 | -| 61 | FussCatalan:Rev | TransNat1 | A002057 | 1 1 4 14 48 165 572 2002 7072 25194 90440 326876 1188640 4345965 15967980 58929450 218349120 | -| 62 | FussCatalan:Rev | TransSqrs | missing | 0 0 1 7 34 145 583 2275 8736 33252 125970 476102 1797818 6788795 25649715 96998475 367223520 | -| 63 | FussCatalan:Rev | PosHalf | missing | 1 2 10 54 314 1926 12282 80646 541690 3704838 25714682 180674566 1282572282 9185067014 66279309306 | -| 64 | FussCatalan:Rev | NegHalf | missing | 1 -2 6 -30 166 -990 6198 -40174 267270 -1814526 12520790 -87554958 619088934 -4418872990 | -| 65 | FussCatalan:Rev | DiagRow2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | -| 66 | FussCatalan:Rev | DiagRow3 | B000096 | 5 9 14 20 27 35 44 54 65 77 90 104 119 135 152 170 189 209 230 252 275 299 324 350 377 405 434 464 | -| 67 | FussCatalan:Rev | DiagCol1 | A000245 | 0 1 3 9 28 90 297 1001 3432 11934 41990 149226 534888 1931540 7020405 25662825 94287120 347993910 | -| 68 | FussCatalan:Rev | DiagCol2 | A099376 | 0 1 4 14 48 165 572 2002 7072 25194 90440 326876 1188640 4345965 15967980 58929450 218349120 | -| 69 | FussCatalan:Rev | DiagCol3 | A000344 | 0 1 5 20 75 275 1001 3640 13260 48450 177650 653752 2414425 8947575 33266625 124062000 463991880 | -| 70 | FussCatalan:Rev | Poly | missing | 1 1 1 2 1 1 5 3 1 1 14 9 4 1 1 42 28 15 5 1 1 132 90 56 23 6 1 1 429 297 210 104 33 7 1 1 1430 1001 | -| 71 | FussCatalan:Rev | PolyRow2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | -| 72 | FussCatalan:Rev | PolyRow3 | B027688 | 5 9 15 23 33 45 59 75 93 113 135 159 185 213 243 275 309 345 383 423 465 509 555 603 653 705 759 | -| 73 | FussCatalan:Rev | PolyCol2 | B001791 | 1 1 4 15 56 210 792 3003 11440 43758 167960 646646 2496144 9657700 37442160 145422675 565722720 | -| 74 | FussCatalan:Rev | PolyCol3 | missing | 1 1 5 23 104 468 2103 9447 42440 190694 857018 3852382 17319892 77880082 350237499 1575232983 | -| 75 | FussCatalan:Rev | PolyDiag | missing | 1 1 4 23 178 1782 22272 336443 5978590 122312702 2832563336 73262469326 2093400432004 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:----------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | FussCatalan:Std | Triangle | A355173 | 1 0 1 0 1 2 0 1 3 5 0 1 4 9 14 0 1 5 14 28 42 0 1 6 20 48 90 132 0 1 7 27 75 165 297 429 0 1 8 35 | +| 1 | FussCatalan:Std | Rev | missing | 1 1 0 2 1 0 5 3 1 0 14 9 4 1 0 42 28 14 5 1 0 132 90 48 20 6 1 0 429 297 165 75 27 7 1 0 1430 1001 | +| 2 | FussCatalan:Std | Acc | missing | 1 0 1 0 1 3 0 1 4 9 0 1 5 14 28 0 1 6 20 48 90 0 1 7 27 75 165 297 0 1 8 35 110 275 572 1001 0 1 9 | +| 3 | FussCatalan:Std | AccRev | missing | 1 1 1 2 3 3 5 8 9 9 14 23 27 28 28 42 70 84 89 90 90 132 222 270 290 296 297 297 429 726 891 966 | +| 4 | FussCatalan:Std | AntiDiag | B289871 | 1 0 0 1 0 1 0 1 2 0 1 3 0 1 4 5 0 1 5 9 0 1 6 14 14 0 1 7 20 28 0 1 8 27 48 42 0 1 9 35 75 90 0 1 | +| 5 | FussCatalan:Std | Diffx1 | missing | 1 0 2 0 2 6 0 2 9 20 0 2 12 36 70 0 2 15 56 140 252 0 2 18 80 240 540 924 0 2 21 108 375 990 2079 | +| 6 | FussCatalan:Std | RowSum | A071724 | 1 1 3 9 28 90 297 1001 3432 11934 41990 149226 534888 1931540 7020405 25662825 94287120 347993910 | +| 7 | FussCatalan:Std | EvenSum | missing | 1 0 2 3 18 33 186 379 2120 4596 25724 58082 325878 757259 4260282 10114131 57048048 137698584 | +| 8 | FussCatalan:Std | OddSum | missing | 0 1 1 6 10 57 111 622 1312 7338 16266 91144 209010 1174281 2760123 15548694 37239072 210295326 | +| 9 | FussCatalan:Std | AltSum | A000958 | 1 -1 1 -3 8 -24 75 -243 808 -2742 9458 -33062 116868 -417022 1500159 -5434563 19808976 -72596742 | +| 10 | FussCatalan:Std | DiagSum | A037952 | 1 0 1 1 3 4 10 15 35 56 126 210 462 792 1716 3003 6435 11440 24310 43758 92378 167960 352716 646646 | +| 11 | FussCatalan:Std | AccSum | A002057 | 1 1 4 14 48 165 572 2002 7072 25194 90440 326876 1188640 4345965 15967980 58929450 218349120 | +| 12 | FussCatalan:Std | AccRevSum | missing | 1 2 8 31 120 465 1804 7007 27248 106080 413440 1613062 6299792 24627135 96358500 377338575 | +| 13 | FussCatalan:Std | RowLcm | missing | 1 1 2 15 252 420 7920 675675 200200 1225224 888844320 135795660 28830463200 34420042800 21416915520 | +| 14 | FussCatalan:Std | RowGcd | B297382 | 1 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 | +| 15 | FussCatalan:Std | RowMax | A000108 | 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | +| 16 | FussCatalan:Std | ColMiddle | missing | 1 0 1 1 4 5 20 27 110 154 637 910 3808 5508 23256 33915 144210 211508 904475 1332045 5722860 | +| 17 | FussCatalan:Std | CentralE | A262394 | 1 1 4 20 110 637 3808 23256 144210 904475 5722860 36463440 233646504 1504152860 9721421440 | +| 18 | FussCatalan:Std | CentralO | missing | 0 1 5 27 154 910 5508 33915 211508 1332045 8454225 53993940 346618440 2234741392 14460614392 | +| 19 | FussCatalan:Std | ColRight | A000108 | 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | +| 20 | FussCatalan:Std | BinConv | missing | 1 1 4 17 78 377 1888 9697 50746 269393 1446300 7835313 42762822 234825801 1296205368 7186510785 | +| 21 | FussCatalan:Std | InvBinConv | A105811 | 1 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 | +| 22 | FussCatalan:Std | TransNat0 | missing | 0 1 5 22 92 375 1507 6006 23816 94146 371450 1463836 5764904 22695595 89338095 351675750 1384531920 | +| 23 | FussCatalan:Std | TransNat1 | missing | 1 2 8 31 120 465 1804 7007 27248 106080 413440 1613062 6299792 24627135 96358500 377338575 | +| 24 | FussCatalan:Std | TransSqrs | missing | 0 1 9 58 322 1645 7975 37310 170144 761226 3355970 14624148 63131642 270444005 1151116995 | +| 25 | FussCatalan:Std | PosHalf | B001791 | 1 1 4 15 56 210 792 3003 11440 43758 167960 646646 2496144 9657700 37442160 145422675 565722720 | +| 26 | FussCatalan:Std | NegHalf | missing | 1 1 0 3 4 18 48 167 540 1854 6368 22302 78792 281252 1011744 3665583 13361676 48971142 180347904 | +| 27 | FussCatalan:Std | DiagRow1 | A000245 | 0 1 3 9 28 90 297 1001 3432 11934 41990 149226 534888 1931540 7020405 25662825 94287120 347993910 | +| 28 | FussCatalan:Std | DiagRow2 | A099376 | 0 1 4 14 48 165 572 2002 7072 25194 90440 326876 1188640 4345965 15967980 58929450 218349120 | +| 29 | FussCatalan:Std | DiagRow3 | A000344 | 0 1 5 20 75 275 1001 3640 13260 48450 177650 653752 2414425 8947575 33266625 124062000 463991880 | +| 30 | FussCatalan:Std | DiagCol2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | +| 31 | FussCatalan:Std | DiagCol3 | B000096 | 5 9 14 20 27 35 44 54 65 77 90 104 119 135 152 170 189 209 230 252 275 299 324 350 377 405 434 464 | +| 32 | FussCatalan:Std | Poly | missing | 1 0 1 0 1 1 0 3 2 1 0 9 10 3 1 0 28 54 21 4 1 0 90 314 165 36 5 1 0 297 1926 1416 372 55 6 1 0 1001 | +| 33 | FussCatalan:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 34 | FussCatalan:Std | PolyRow2 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | +| 35 | FussCatalan:Std | PolyRow3 | missing | 0 9 54 165 372 705 1194 1869 2760 3897 5310 7029 9084 11505 14322 17565 21264 25449 30150 35397 | +| 36 | FussCatalan:Std | PolyCol2 | missing | 1 2 10 54 314 1926 12282 80646 541690 3704838 25714682 180674566 1282572282 9185067014 66279309306 | +| 37 | FussCatalan:Std | PolyCol3 | missing | 1 3 21 165 1416 12900 122583 1201701 12065160 123442194 1282411290 13491759162 143452633044 | +| 38 | FussCatalan:Std | PolyDiag | missing | 1 1 10 165 4228 150630 6925182 391204541 26250094600 2041508615598 180639303835010 | +| 39 | FussCatalan:Alt | Triangle | A355173 | 1 0 -1 0 -1 2 0 -1 3 -5 0 -1 4 -9 14 0 -1 5 -14 28 -42 0 -1 6 -20 48 -90 132 0 -1 7 -27 75 -165 297 | +| 40 | FussCatalan:Alt | Rev | missing | 1 -1 0 2 -1 0 -5 3 -1 0 14 -9 4 -1 0 -42 28 -14 5 -1 0 132 -90 48 -20 6 -1 0 -429 297 -165 75 -27 7 | +| 41 | FussCatalan:Alt | Acc | missing | 1 0 -1 0 -1 1 0 -1 2 -3 0 -1 3 -6 8 0 -1 4 -10 18 -24 0 -1 5 -15 33 -57 75 0 -1 6 -21 54 -111 186 | +| 42 | FussCatalan:Alt | AccRev | missing | 1 -1 -1 2 1 1 -5 -2 -3 -3 14 5 9 8 8 -42 -14 -28 -23 -24 -24 132 42 90 70 76 75 75 -429 -132 -297 | +| 43 | FussCatalan:Alt | AntiDiag | B289871 | 1 0 0 -1 0 -1 0 -1 2 0 -1 3 0 -1 4 -5 0 -1 5 -9 0 -1 6 -14 14 0 -1 7 -20 28 0 -1 8 -27 48 -42 0 -1 | +| 44 | FussCatalan:Alt | Diffx1 | missing | 1 0 -2 0 -2 6 0 -2 9 -20 0 -2 12 -36 70 0 -2 15 -56 140 -252 0 -2 18 -80 240 -540 924 0 -2 21 -108 | +| 45 | FussCatalan:Alt | RowSum | A000958 | 1 -1 1 -3 8 -24 75 -243 808 -2742 9458 -33062 116868 -417022 1500159 -5434563 19808976 -72596742 | +| 46 | FussCatalan:Alt | EvenSum | missing | 1 0 2 3 18 33 186 379 2120 4596 25724 58082 325878 757259 4260282 10114131 57048048 137698584 | +| 47 | FussCatalan:Alt | OddSum | missing | 0 -1 -1 -6 -10 -57 -111 -622 -1312 -7338 -16266 -91144 -209010 -1174281 -2760123 -15548694 | +| 48 | FussCatalan:Alt | AltSum | A071724 | 1 1 3 9 28 90 297 1001 3432 11934 41990 149226 534888 1931540 7020405 25662825 94287120 347993910 | +| 49 | FussCatalan:Alt | DiagSum | A106181 | 1 0 -1 -1 1 2 -2 -5 5 14 -14 -42 42 132 -132 -429 429 1430 -1430 -4862 4862 16796 -16796 -58786 | +| 50 | FussCatalan:Alt | AccSum | B065601 | 1 -1 0 -2 4 -13 40 -130 432 -1466 5056 -17672 62460 -222853 801592 -2903626 10582816 -38781310 | +| 51 | FussCatalan:Alt | AccRevSum | missing | 1 -2 4 -13 44 -155 560 -2057 7648 -28696 108440 -412134 1573692 -6032477 23200952 -89483945 | +| 52 | FussCatalan:Alt | RowLcm | missing | 1 1 2 15 252 420 7920 675675 200200 1225224 888844320 135795660 28830463200 34420042800 21416915520 | +| 53 | FussCatalan:Alt | RowGcd | B297382 | 1 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 | +| 54 | FussCatalan:Alt | RowMax | A000108 | 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | +| 55 | FussCatalan:Alt | ColMiddle | missing | 1 0 -1 -1 4 5 -20 -27 110 154 -637 -910 3808 5508 -23256 -33915 144210 211508 -904475 -1332045 | +| 56 | FussCatalan:Alt | CentralE | A262394 | 1 -1 4 -20 110 -637 3808 -23256 144210 -904475 5722860 -36463440 233646504 -1504152860 9721421440 | +| 57 | FussCatalan:Alt | CentralO | missing | 0 -1 5 -27 154 -910 5508 -33915 211508 -1332045 8454225 -53993940 346618440 -2234741392 14460614392 | +| 58 | FussCatalan:Alt | ColRight | A000108 | 1 -1 2 -5 14 -42 132 -429 1430 -4862 16796 -58786 208012 -742900 2674440 -9694845 35357670 | +| 59 | FussCatalan:Alt | BinConv | A105811 | 1 -1 0 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 | +| 60 | FussCatalan:Alt | InvBinConv | missing | 1 -1 4 -17 78 -377 1888 -9697 50746 -269393 1446300 -7835313 42762822 -234825801 1296205368 | +| 61 | FussCatalan:Alt | TransNat0 | missing | 0 -1 3 -10 36 -131 485 -1814 6840 -25954 98982 -379072 1456824 -5615455 21700793 -84049382 | +| 62 | FussCatalan:Alt | TransNat1 | missing | 1 -2 4 -13 44 -155 560 -2057 7648 -28696 108440 -412134 1573692 -6032477 23200952 -89483945 | +| 63 | FussCatalan:Alt | TransSqrs | missing | 0 -1 7 -34 158 -709 3113 -13470 57664 -244858 1033118 -4336588 18126054 -75494221 313480717 | +| 64 | FussCatalan:Alt | PosHalf | missing | 1 -1 0 -3 4 -18 48 -167 540 -1854 6368 -22302 78792 -281252 1011744 -3665583 13361676 -48971142 | +| 65 | FussCatalan:Alt | NegHalf | B001791 | 1 -1 4 -15 56 -210 792 -3003 11440 -43758 167960 -646646 2496144 -9657700 37442160 -145422675 | +| 66 | FussCatalan:Alt | DiagRow1 | A000245 | 0 -1 3 -9 28 -90 297 -1001 3432 -11934 41990 -149226 534888 -1931540 7020405 -25662825 94287120 | +| 67 | FussCatalan:Alt | DiagRow2 | A099376 | 0 -1 4 -14 48 -165 572 -2002 7072 -25194 90440 -326876 1188640 -4345965 15967980 -58929450 | +| 68 | FussCatalan:Alt | DiagRow3 | A000344 | 0 -1 5 -20 75 -275 1001 -3640 13260 -48450 177650 -653752 2414425 -8947575 33266625 -124062000 | +| 69 | FussCatalan:Alt | DiagCol2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | +| 70 | FussCatalan:Alt | DiagCol3 | B080956 | -5 -9 -14 -20 -27 -35 -44 -54 -65 -77 -90 -104 -119 -135 -152 -170 -189 -209 -230 -252 -275 -299 | +| 71 | FussCatalan:Alt | Poly | missing | 1 0 1 0 -1 1 0 1 -2 1 0 -3 6 -3 1 0 8 -30 15 -4 1 0 -24 166 -111 28 -5 1 0 75 -990 924 -276 45 -6 1 | +| 72 | FussCatalan:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 73 | FussCatalan:Alt | PolyRow2 | A000384 | 0 1 6 15 28 45 66 91 120 153 190 231 276 325 378 435 496 561 630 703 780 861 946 1035 1128 1225 | +| 74 | FussCatalan:Alt | PolyRow3 | missing | 0 -3 -30 -111 -276 -555 -978 -1575 -2376 -3411 -4710 -6303 -8220 -10491 -13146 -16215 -19728 -23715 | +| 75 | FussCatalan:Alt | PolyCol2 | missing | 1 -2 6 -30 166 -990 6198 -40174 267270 -1814526 12520790 -87554958 619088934 -4418872990 | +| 76 | FussCatalan:Alt | PolyCol3 | missing | 1 -3 15 -111 924 -8274 77757 -756399 7551240 -76922922 796383582 -8355067014 88631134872 | +| 77 | FussCatalan:Alt | PolyDiag | missing | 1 -1 6 -111 3068 -115380 5516850 -320960199 22033538040 -1744969955526 156698376326990 | +| 78 | FussCatalan:Rev | Triangle | missing | 1 1 0 2 1 0 5 3 1 0 14 9 4 1 0 42 28 14 5 1 0 132 90 48 20 6 1 0 429 297 165 75 27 7 1 0 1430 1001 | +| 79 | FussCatalan:Rev | Acc | missing | 1 1 1 2 3 3 5 8 9 9 14 23 27 28 28 42 70 84 89 90 90 132 222 270 290 296 297 297 429 726 891 966 | +| 80 | FussCatalan:Rev | AccRev | missing | 1 0 1 0 1 3 0 1 4 9 0 1 5 14 28 0 1 6 20 48 90 0 1 7 27 75 165 297 0 1 8 35 110 275 572 1001 0 1 9 | +| 81 | FussCatalan:Rev | AntiDiag | missing | 1 1 2 0 5 1 14 3 0 42 9 1 132 28 4 0 429 90 14 1 1430 297 48 5 0 4862 1001 165 20 1 16796 3432 572 | +| 82 | FussCatalan:Rev | Diffx1 | missing | 1 1 0 2 2 0 5 6 3 0 14 18 12 4 0 42 56 42 20 5 0 132 180 144 80 30 6 0 429 594 495 300 135 42 7 0 | +| 83 | FussCatalan:Rev | RowSum | A071724 | 1 1 3 9 28 90 297 1001 3432 11934 41990 149226 534888 1931540 7020405 25662825 94287120 347993910 | +| 84 | FussCatalan:Rev | EvenSum | A104629 | 1 1 2 6 18 57 186 622 2120 7338 25724 91144 325878 1174281 4260282 15548694 57048048 210295326 | +| 85 | FussCatalan:Rev | OddSum | B001558 | 0 0 1 3 10 33 111 379 1312 4596 16266 58082 209010 757259 2760123 10114131 37239072 137698584 | +| 86 | FussCatalan:Rev | AltSum | A000958 | 1 1 1 3 8 24 75 243 808 2742 9458 33062 116868 417022 1500159 5434563 19808976 72596742 267343374 | +| 87 | FussCatalan:Rev | DiagSum | missing | 1 1 2 6 17 52 164 534 1780 6049 20881 73025 258192 921425 3314828 12008581 43770386 160405503 | +| 88 | FussCatalan:Rev | AccSum | missing | 1 2 8 31 120 465 1804 7007 27248 106080 413440 1613062 6299792 24627135 96358500 377338575 | +| 89 | FussCatalan:Rev | AccRevSum | A002057 | 1 1 4 14 48 165 572 2002 7072 25194 90440 326876 1188640 4345965 15967980 58929450 218349120 | +| 90 | FussCatalan:Rev | RowLcm | missing | 1 1 2 15 252 420 7920 675675 200200 1225224 888844320 135795660 28830463200 34420042800 21416915520 | +| 91 | FussCatalan:Rev | RowGcd | B297382 | 1 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 | +| 92 | FussCatalan:Rev | RowMax | A000108 | 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | +| 93 | FussCatalan:Rev | ColMiddle | missing | 1 1 1 3 4 14 20 75 110 429 637 2548 3808 15504 23256 95931 144210 600875 904475 3798795 5722860 | +| 94 | FussCatalan:Rev | CentralE | A262394 | 1 1 4 20 110 637 3808 23256 144210 904475 5722860 36463440 233646504 1504152860 9721421440 | +| 95 | FussCatalan:Rev | CentralO | A026004 | 1 3 14 75 429 2548 15504 95931 600875 3798795 24192090 154969620 997490844 6446369400 41802112192 | +| 96 | FussCatalan:Rev | ColLeft | A000108 | 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | +| 97 | FussCatalan:Rev | BinConv | missing | 1 1 4 17 78 377 1888 9697 50746 269393 1446300 7835313 42762822 234825801 1296205368 7186510785 | +| 98 | FussCatalan:Rev | InvBinConv | A105811 | 1 -1 0 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 | +| 99 | FussCatalan:Rev | TransNat0 | B000344 | 0 0 1 5 20 75 275 1001 3640 13260 48450 177650 653752 2414425 8947575 33266625 124062000 463991880 | +| 100 | FussCatalan:Rev | TransNat1 | A002057 | 1 1 4 14 48 165 572 2002 7072 25194 90440 326876 1188640 4345965 15967980 58929450 218349120 | +| 101 | FussCatalan:Rev | TransSqrs | missing | 0 0 1 7 34 145 583 2275 8736 33252 125970 476102 1797818 6788795 25649715 96998475 367223520 | +| 102 | FussCatalan:Rev | PosHalf | missing | 1 2 10 54 314 1926 12282 80646 541690 3704838 25714682 180674566 1282572282 9185067014 66279309306 | +| 103 | FussCatalan:Rev | NegHalf | missing | 1 -2 6 -30 166 -990 6198 -40174 267270 -1814526 12520790 -87554958 619088934 -4418872990 | +| 104 | FussCatalan:Rev | DiagRow2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | +| 105 | FussCatalan:Rev | DiagRow3 | B000096 | 5 9 14 20 27 35 44 54 65 77 90 104 119 135 152 170 189 209 230 252 275 299 324 350 377 405 434 464 | +| 106 | FussCatalan:Rev | DiagCol1 | A000245 | 0 1 3 9 28 90 297 1001 3432 11934 41990 149226 534888 1931540 7020405 25662825 94287120 347993910 | +| 107 | FussCatalan:Rev | DiagCol2 | A099376 | 0 1 4 14 48 165 572 2002 7072 25194 90440 326876 1188640 4345965 15967980 58929450 218349120 | +| 108 | FussCatalan:Rev | DiagCol3 | A000344 | 0 1 5 20 75 275 1001 3640 13260 48450 177650 653752 2414425 8947575 33266625 124062000 463991880 | +| 109 | FussCatalan:Rev | Poly | missing | 1 1 1 2 1 1 5 3 1 1 14 9 4 1 1 42 28 15 5 1 1 132 90 56 23 6 1 1 429 297 210 104 33 7 1 1 1430 1001 | +| 110 | FussCatalan:Rev | PolyRow2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | +| 111 | FussCatalan:Rev | PolyRow3 | B027688 | 5 9 15 23 33 45 59 75 93 113 135 159 185 213 243 275 309 345 383 423 465 509 555 603 653 705 759 | +| 112 | FussCatalan:Rev | PolyCol2 | B001791 | 1 1 4 15 56 210 792 3003 11440 43758 167960 646646 2496144 9657700 37442160 145422675 565722720 | +| 113 | FussCatalan:Rev | PolyCol3 | missing | 1 1 5 23 104 468 2103 9447 42440 190694 857018 3852382 17319892 77880082 350237499 1575232983 | +| 114 | FussCatalan:Rev | PolyDiag | missing | 1 1 4 23 178 1782 22272 336443 5978590 122312702 2832563336 73262469326 2093400432004 | \ No newline at end of file diff --git a/data/md/Gaussq2.md b/data/md/Gaussq2.md index 1e8edf6..57dfb4e 100644 --- a/data/md/Gaussq2.md +++ b/data/md/Gaussq2.md @@ -42,81 +42,123 @@ | 39 | Gaussq2:Std | PolyCol2 | A182176 | 1 3 11 51 307 2451 26387 387987 7866259 221472147 8703733139 479243212179 37070813107603 | | 40 | Gaussq2:Std | PolyCol3 | missing | 1 4 19 112 847 8428 112483 2042824 51027319 1766869636 85292358571 5763692347168 546835143373183 | | 41 | Gaussq2:Std | PolyDiag | missing | 1 2 11 112 1837 45906 1705375 93130192 7437830329 866657162890 147145207120331 36374221860116064 | -| 42 | Gaussq2:Inv | Triangle | A135950 | 1 -1 1 2 -3 1 -8 14 -7 1 64 -120 70 -15 1 -1024 1984 -1240 310 -31 1 32768 -64512 41664 -11160 1302 | -| 43 | Gaussq2:Inv | Rev | A158474 | 1 1 -1 1 -3 2 1 -7 14 -8 1 -15 70 -120 64 1 -31 310 -1240 1984 -1024 1 -63 1302 -11160 41664 -64512 | -| 44 | Gaussq2:Inv | RevInv | A022166 | 1 1 1 1 3 1 1 7 7 1 1 15 35 15 1 1 31 155 155 31 1 1 63 651 1395 651 63 1 1 127 2667 11811 11811 | -| 45 | Gaussq2:Inv | Acc | missing | 1 -1 0 2 -1 0 -8 6 -1 0 64 -56 14 -1 0 -1024 960 -280 30 -1 0 32768 -31744 9920 -1240 62 -1 0 | -| 46 | Gaussq2:Inv | AccRev | missing | 1 1 0 1 -2 0 1 -6 8 0 1 -14 56 -64 0 1 -30 280 -960 1024 0 1 -62 1240 -9920 31744 -32768 0 1 -126 | -| 47 | Gaussq2:Inv | AntiDiag | missing | 1 -1 2 1 -8 -3 64 14 1 -1024 -120 -7 32768 1984 70 1 -2097152 -64512 -1240 -15 268435456 4161536 | -| 48 | Gaussq2:Inv | Diffx1 | missing | 1 -1 2 2 -6 3 -8 28 -21 4 64 -240 210 -60 5 -1024 3968 -3720 1240 -155 6 32768 -129024 124992 | -| 49 | Gaussq2:Inv | EvenSum | A028362 | 1 -1 3 -15 135 -2295 75735 -4922775 635037975 -163204759575 83724041661975 -85817142703524375 | -| 50 | Gaussq2:Inv | OddSum | A028362 | 0 1 -3 15 -135 2295 -75735 4922775 -635037975 163204759575 -83724041661975 85817142703524375 | -| 51 | Gaussq2:Inv | AltSum | A028361 | 1 -2 6 -30 270 -4590 151470 -9845550 1270075950 -326409519150 167448083323950 -171634285407048750 | -| 52 | Gaussq2:Inv | DiagSum | missing | 1 -1 3 -11 79 -1151 34823 -2162919 272638967 -69256992695 35321897094615 -36099188233043287 | -| 53 | Gaussq2:Inv | AccSum | A005329 | 1 -1 1 -3 21 -315 9765 -615195 78129765 -19923090075 10180699028325 -10414855105976475 | -| 54 | Gaussq2:Inv | AccRevSum | A005329 | 1 1 -1 3 -21 315 -9765 615195 -78129765 19923090075 -10180699028325 10414855105976475 | -| 55 | Gaussq2:Inv | RowLcm | missing | 1 1 6 56 6720 158720 319979520 173386235904 808475248558080 1137220409842728960 | -| 56 | Gaussq2:Inv | RowMax | B127850 | 1 1 3 14 120 1984 64512 4161536 534773760 137170518016 70300024700928 72022409665839104 | -| 57 | Gaussq2:Inv | ColMiddle | missing | 1 -1 -3 14 70 -1240 -11160 755904 12850368 -3389180928 -111842970624 116288284884992 | -| 58 | Gaussq2:Inv | CentralE | B135951 | 1 -3 70 -11160 12850368 -111842970624 7558738517524480 -4024873276683363287040 | -| 59 | Gaussq2:Inv | CentralO | missing | -1 14 -1240 755904 -3389180928 116288284884992 -31200568036305141760 66200105490614595677585408 | -| 60 | Gaussq2:Inv | ColLeft | A006125 | 1 -1 2 -8 64 -1024 32768 -2097152 268435456 -68719476736 35184372088832 -36028797018963968 | -| 61 | Gaussq2:Inv | BinConv | missing | 1 0 -3 14 -55 -558 66609 -7056882 1180047537 -345215150910 181970174430825 -172524467631059058 | -| 62 | Gaussq2:Inv | InvBinConv | missing | 1 2 9 72 1025 26600 1287909 118455696 20965995297 7205821917296 4839261283120341 | -| 63 | Gaussq2:Inv | TransNat0 | A005329 | 0 1 -1 3 -21 315 -9765 615195 -78129765 19923090075 -10180699028325 10414855105976475 | -| 64 | Gaussq2:Inv | TransNat1 | A005329 | 1 1 -1 3 -21 315 -9765 615195 -78129765 19923090075 -10180699028325 10414855105976475 | -| 65 | Gaussq2:Inv | TransSqrs | missing | 0 1 1 -5 41 -657 20997 -1342341 171707697 -43941722265 22494066257565 -23031791179545645 | -| 66 | Gaussq2:Inv | PosHalf | A005329 | 1 -1 3 -21 315 -9765 615195 -78129765 19923090075 -10180699028325 10414855105976475 | -| 67 | Gaussq2:Inv | NegHalf | A028362 | 1 3 15 135 2295 75735 4922775 635037975 163204759575 83724041661975 85817142703524375 | -| 68 | Gaussq2:Inv | DiagRow1 | A060152 | -1 -3 -7 -15 -31 -63 -127 -255 -511 -1023 -2047 -4095 -8191 -16383 -32767 -65535 -131071 -262143 | -| 69 | Gaussq2:Inv | DiagRow2 | A203241 | 2 14 70 310 1302 5334 21590 86870 348502 1396054 5588310 22361430 89462102 357881174 1431590230 | -| 70 | Gaussq2:Inv | DiagRow3 | missing | -8 -120 -1240 -11160 -94488 -777240 -6304280 -50781720 -407647768 -3266766360 -26156484120 | -| 71 | Gaussq2:Inv | DiagCol1 | B127850 | 1 -3 14 -120 1984 -64512 4161536 -534773760 137170518016 -70300024700928 72022409665839104 | -| 72 | Gaussq2:Inv | DiagCol2 | missing | 1 -7 70 -1240 41664 -2731008 353730560 -91089797120 46775146643456 -47968050187599872 | -| 73 | Gaussq2:Inv | DiagCol3 | missing | 1 -15 310 -11160 755904 -99486720 25822330880 -13312123207680 13678389311307776 | -| 74 | Gaussq2:Inv | Poly | missing | 1 -1 1 2 0 1 -8 0 1 1 64 0 0 2 1 -1024 0 0 2 3 1 32768 0 0 -2 6 4 1 -2097152 0 0 10 0 12 5 1 | -| 75 | Gaussq2:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | -| 76 | Gaussq2:Inv | PolyRow2 | A279019 | 2 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | -| 77 | Gaussq2:Inv | PolyRow3 | missing | -8 0 0 -2 0 12 40 90 168 280 432 630 880 1188 1560 2002 2520 3120 3808 4590 5472 6460 7560 8778 | -| 78 | Gaussq2:Inv | PolyCol2 | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 79 | Gaussq2:Inv | PolyCol3 | missing | 1 2 2 -2 10 -130 3770 -229970 28746250 -7272801250 3701855836250 -3779594808811250 | -| 80 | Gaussq2:Inv | PolyDiag | missing | 1 0 0 -2 0 396 -20800 1154250 0 -72877004200 89743347505152 -153012210826088250 | -| 81 | Gaussq2:Inv:Rev | Triangle | A158474 | 1 1 -1 1 -3 2 1 -7 14 -8 1 -15 70 -120 64 1 -31 310 -1240 1984 -1024 1 -63 1302 -11160 41664 -64512 | -| 82 | Gaussq2:Inv:Rev | Rev | A135950 | 1 -1 1 2 -3 1 -8 14 -7 1 64 -120 70 -15 1 -1024 1984 -1240 310 -31 1 32768 -64512 41664 -11160 1302 | -| 83 | Gaussq2:Inv:Rev | InvRev | A022166 | 1 1 1 1 3 1 1 7 7 1 1 15 35 15 1 1 31 155 155 31 1 1 63 651 1395 651 63 1 1 127 2667 11811 11811 | -| 84 | Gaussq2:Inv:Rev | Acc | missing | 1 1 0 1 -2 0 1 -6 8 0 1 -14 56 -64 0 1 -30 280 -960 1024 0 1 -62 1240 -9920 31744 -32768 0 1 -126 | -| 85 | Gaussq2:Inv:Rev | AccRev | missing | 1 -1 0 2 -1 0 -8 6 -1 0 64 -56 14 -1 0 -1024 960 -280 30 -1 0 32768 -31744 9920 -1240 62 -1 0 | -| 86 | Gaussq2:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -3 1 -7 2 1 -15 14 1 -31 70 -8 1 -63 310 -120 1 -127 1302 -1240 64 1 -255 5334 -11160 | -| 87 | Gaussq2:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -6 6 1 -14 42 -32 1 -30 210 -480 320 1 -62 930 -4960 9920 -6144 1 -126 3906 -44640 208320 | -| 88 | Gaussq2:Inv:Rev | EvenSum | A028362 | 1 1 3 15 135 2295 75735 4922775 635037975 163204759575 83724041661975 85817142703524375 | -| 89 | Gaussq2:Inv:Rev | OddSum | A028362 | 0 -1 -3 -15 -135 -2295 -75735 -4922775 -635037975 -163204759575 -83724041661975 -85817142703524375 | -| 90 | Gaussq2:Inv:Rev | AltSum | A028361 | 1 2 6 30 270 4590 151470 9845550 1270075950 326409519150 167448083323950 171634285407048750 | -| 91 | Gaussq2:Inv:Rev | DiagSum | missing | 1 1 0 -2 -4 0 32 128 0 -4096 -32768 0 4194304 67108864 0 -34359738368 -1099511627776 0 | -| 92 | Gaussq2:Inv:Rev | AccSum | A005329 | 1 1 -1 3 -21 315 -9765 615195 -78129765 19923090075 -10180699028325 10414855105976475 | -| 93 | Gaussq2:Inv:Rev | AccRevSum | A005329 | 1 -1 1 -3 21 -315 9765 -615195 78129765 -19923090075 10180699028325 -10414855105976475 | -| 94 | Gaussq2:Inv:Rev | RowLcm | missing | 1 1 6 56 6720 158720 319979520 173386235904 808475248558080 1137220409842728960 | -| 95 | Gaussq2:Inv:Rev | RowMax | B127850 | 1 1 3 14 120 1984 64512 4161536 534773760 137170518016 70300024700928 72022409665839104 | -| 96 | Gaussq2:Inv:Rev | ColMiddle | missing | 1 1 -3 -7 70 310 -11160 -94488 12850368 211823808 -111842970624 -3634008902656 7558738517524480 | -| 97 | Gaussq2:Inv:Rev | CentralE | B135951 | 1 -3 70 -11160 12850368 -111842970624 7558738517524480 -4024873276683363287040 | -| 98 | Gaussq2:Inv:Rev | CentralO | missing | 1 -7 310 -94488 211823808 -3634008902656 487508875567267840 -517188324145426528731136 | -| 99 | Gaussq2:Inv:Rev | ColRight | A006125 | 1 -1 2 -8 64 -1024 32768 -2097152 268435456 -68719476736 35184372088832 -36028797018963968 | -| 100 | Gaussq2:Inv:Rev | BinConv | missing | 1 0 -3 14 -55 -558 66609 -7056882 1180047537 -345215150910 181970174430825 -172524467631059058 | -| 101 | Gaussq2:Inv:Rev | InvBinConv | missing | 1 -2 9 -72 1025 -26600 1287909 -118455696 20965995297 -7205821917296 4839261283120341 | -| 102 | Gaussq2:Inv:Rev | TransNat0 | A005329 | 0 -1 1 -3 21 -315 9765 -615195 78129765 -19923090075 10180699028325 -10414855105976475 | -| 103 | Gaussq2:Inv:Rev | TransNat1 | A005329 | 1 -1 1 -3 21 -315 9765 -615195 78129765 -19923090075 10180699028325 -10414855105976475 | -| 104 | Gaussq2:Inv:Rev | TransSqrs | missing | 0 -1 5 -23 209 -3807 138177 -9955071 1421783937 -402557343615 226108046824065 -252158603511028095 | -| 105 | Gaussq2:Inv:Rev | PosHalf | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 106 | Gaussq2:Inv:Rev | NegHalf | A139486 | 1 -3 12 -72 720 -12960 440640 -29082240 3780691200 -975418329600 501365021414400 | -| 107 | Gaussq2:Inv:Rev | DiagRow1 | B127850 | 1 -3 14 -120 1984 -64512 4161536 -534773760 137170518016 -70300024700928 72022409665839104 | -| 108 | Gaussq2:Inv:Rev | DiagRow2 | missing | 1 -7 70 -1240 41664 -2731008 353730560 -91089797120 46775146643456 -47968050187599872 | -| 109 | Gaussq2:Inv:Rev | DiagRow3 | missing | 1 -15 310 -11160 755904 -99486720 25822330880 -13312123207680 13678389311307776 | -| 110 | Gaussq2:Inv:Rev | DiagCol1 | A060152 | -1 -3 -7 -15 -31 -63 -127 -255 -511 -1023 -2047 -4095 -8191 -16383 -32767 -65535 -131071 -262143 | -| 111 | Gaussq2:Inv:Rev | DiagCol2 | A203241 | 2 14 70 310 1302 5334 21590 86870 348502 1396054 5588310 22361430 89462102 357881174 1431590230 | -| 112 | Gaussq2:Inv:Rev | DiagCol3 | missing | -8 -120 -1240 -11160 -94488 -777240 -6304280 -50781720 -407647768 -3266766360 -26156484120 | -| 113 | Gaussq2:Inv:Rev | Poly | A107889 | 1 1 1 1 0 1 1 0 -1 1 1 0 3 -2 1 1 0 -21 10 -3 1 1 0 315 -110 21 -4 1 1 0 -9765 2530 -315 36 -5 1 1 | -| 114 | Gaussq2:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 115 | Gaussq2:Inv:Rev | PolyRow2 | A014105 | 1 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | -| 116 | Gaussq2:Inv:Rev | PolyRow3 | missing | 1 0 -21 -110 -315 -684 -1265 -2106 -3255 -4760 -6669 -9030 -11891 -15300 -19305 -23954 -29295 | -| 117 | Gaussq2:Inv:Rev | PolyCol2 | A005329 | 1 -1 3 -21 315 -9765 615195 -78129765 19923090075 -10180699028325 10414855105976475 | -| 118 | Gaussq2:Inv:Rev | PolyCol3 | missing | 1 -2 10 -110 2530 -118910 11296450 -2157621950 826369206850 -633825181653950 972921653838813250 | -| 119 | Gaussq2:Inv:Rev | PolyDiag | missing | 1 0 3 -110 9765 -2107404 1078810975 -1281611575530 3471618368658825 -21140747635478471000 | \ No newline at end of file +| 42 | Gaussq2:Alt | Triangle | A022166 | 1 1 -1 1 -3 1 1 -7 7 -1 1 -15 35 -15 1 1 -31 155 -155 31 -1 1 -63 651 -1395 651 -63 1 1 -127 2667 | +| 43 | Gaussq2:Alt | Rev | A022166 | 1 -1 1 1 -3 1 -1 7 -7 1 1 -15 35 -15 1 -1 31 -155 155 -31 1 1 -63 651 -1395 651 -63 1 -1 127 -2667 | +| 44 | Gaussq2:Alt | Inv | missing | 1 -1 1 -4 3 1 20 -14 -7 1 424 -300 -140 15 1 -9456 6696 3100 -310 -31 1 -841312 595728 276024 | +| 45 | Gaussq2:Alt | RevInv | missing | 1 1 -1 1 3 -4 1 -7 -14 20 1 15 -140 -300 424 1 -31 -310 3100 6696 -9456 1 63 -2604 -27900 276024 | +| 46 | Gaussq2:Alt | InvRev | A135950 | 1 1 1 2 3 1 8 14 7 1 64 120 70 15 1 1024 1984 1240 310 31 1 32768 64512 41664 11160 1302 63 1 | +| 47 | Gaussq2:Alt | Acc | missing | 1 1 0 1 -2 -1 1 -6 1 0 1 -14 21 6 7 1 -30 125 -30 1 0 1 -62 589 -806 -155 -218 -217 1 -126 2541 | +| 48 | Gaussq2:Alt | AccRev | missing | 1 -1 0 1 -2 -1 -1 6 -1 0 1 -14 21 6 7 -1 30 -125 30 -1 0 1 -62 589 -806 -155 -218 -217 -1 126 -2541 | +| 49 | Gaussq2:Alt | AntiDiag | missing | 1 1 1 -1 1 -3 1 -7 1 1 -15 7 1 -31 35 -1 1 -63 155 -15 1 -127 651 -155 1 1 -255 2667 -1395 31 1 | +| 50 | Gaussq2:Alt | Diffx1 | missing | 1 1 -2 1 -6 3 1 -14 21 -4 1 -30 105 -60 5 1 -62 465 -620 155 -6 1 -126 1953 -5580 3255 -378 7 1 | +| 51 | Gaussq2:Alt | RowSum | missing | 1 0 -1 0 7 0 -217 0 27559 0 -14082649 0 28827182503 0 -236123451882073 0 7737057147819885991 0 | +| 52 | Gaussq2:Alt | EvenSum | A289541 | 1 1 2 8 37 187 1304 14606 222379 4141729 107836478 4466744372 258501941713 18779494904263 | +| 53 | Gaussq2:Alt | OddSum | missing | 0 -1 -3 -8 -30 -187 -1521 -14606 -194820 -4141729 -121919127 -4466744372 -229674759210 | +| 54 | Gaussq2:Alt | AltSum | A006116 | 1 2 5 16 67 374 2825 29212 417199 8283458 229755605 8933488744 488176700923 37558989808526 | +| 55 | Gaussq2:Alt | DiagSum | missing | 1 1 0 -2 -5 -7 4 78 371 1049 -876 -42994 -417709 -2441063 2275028 360636174 7190981587 86108697241 | +| 56 | Gaussq2:Alt | AccSum | missing | 1 1 -2 -4 21 67 -868 -4438 137795 1159249 -84495894 -1199994376 201790277521 4942804152223 | +| 57 | Gaussq2:Alt | AccRevSum | missing | 1 -1 -2 4 21 -67 -868 4438 137795 -1159249 -84495894 1199994376 201790277521 -4942804152223 | +| 58 | Gaussq2:Alt | RowLcm | missing | 1 1 3 7 105 155 9765 82677 3011805 16548735 16929355905 110013941389 450507089987955 | +| 59 | Gaussq2:Alt | RowGcd | B019320 | 1 1 3 7 5 31 3 127 17 73 11 2047 13 8191 43 151 257 131071 57 524287 205 2359 683 8388607 241 | +| 60 | Gaussq2:Alt | RowMax | A006099 | 1 1 3 7 35 155 1395 11811 200787 3309747 109221651 3548836819 230674393235 14877590196755 | +| 61 | Gaussq2:Alt | ColMiddle | A006099 | 1 1 -3 -7 35 155 -1395 -11811 200787 3309747 -109221651 -3548836819 230674393235 14877590196755 | +| 62 | Gaussq2:Alt | CentralE | B006098 | 1 -3 35 -1395 200787 -109221651 230674393235 -1919209135381395 63379954960524853651 | +| 63 | Gaussq2:Alt | CentralO | B218449 | 1 -7 155 -11811 3309747 -3548836819 14877590196755 -246614610741341843 16256896431763117598611 | +| 64 | Gaussq2:Alt | BinConv | missing | 1 0 -4 0 92 0 -9124 0 3774172 0 -6459170980 0 45480123143132 0 -1310657322035590052 0 | +| 65 | Gaussq2:Alt | InvBinConv | missing | 1 -2 8 -44 332 -3412 48188 -940564 25545052 -969582644 51635485244 -3867743513812 408350633776412 | +| 66 | Gaussq2:Alt | TransNat0 | missing | 0 -1 -1 4 14 -67 -651 4438 110236 -1159249 -70413245 1199994376 172963095018 -4942804152223 | +| 67 | Gaussq2:Alt | TransNat1 | missing | 1 -1 -2 4 21 -67 -868 4438 137795 -1159249 -84495894 1199994376 201790277521 -4942804152223 | +| 68 | Gaussq2:Alt | TransSqrs | missing | 0 -1 1 12 6 -335 -1137 31066 328436 -10433241 -292256139 13199938136 912947335314 -64256453978899 | +| 69 | Gaussq2:Alt | PosHalf | missing | 1 1 -1 -7 7 217 -217 -27559 27559 14082649 -14082649 -28827182503 28827182503 236123451882073 | +| 70 | Gaussq2:Alt | NegHalf | A182176 | 1 -3 11 -51 307 -2451 26387 -387987 7866259 -221472147 8703733139 -479243212179 37070813107603 | +| 71 | Gaussq2:Alt | DiagRow1 | A060152 | 1 -3 7 -15 31 -63 127 -255 511 -1023 2047 -4095 8191 -16383 32767 -65535 131071 -262143 524287 | +| 72 | Gaussq2:Alt | DiagRow2 | A171477 | 1 -7 35 -155 651 -2667 10795 -43435 174251 -698027 2794155 -11180715 44731051 -178940587 715795115 | +| 73 | Gaussq2:Alt | DiagRow3 | A006096 | 1 -15 155 -1395 11811 -97155 788035 -6347715 50955971 -408345795 3269560515 -26167664835 | +| 74 | Gaussq2:Alt | DiagCol1 | A060152 | -1 -3 -7 -15 -31 -63 -127 -255 -511 -1023 -2047 -4095 -8191 -16383 -32767 -65535 -131071 -262143 | +| 75 | Gaussq2:Alt | DiagCol2 | A171477 | 1 7 35 155 651 2667 10795 43435 174251 698027 2794155 11180715 44731051 178940587 715795115 | +| 76 | Gaussq2:Alt | DiagCol3 | A006096 | -1 -15 -155 -1395 -11811 -97155 -788035 -6347715 -50955971 -408345795 -3269560515 -26167664835 | +| 77 | Gaussq2:Alt | Poly | missing | 1 1 1 1 0 1 1 -1 -1 1 1 0 -1 -2 1 1 7 7 1 -3 1 1 0 7 16 5 -4 1 1 -217 -217 -53 21 11 -5 1 1 0 -217 | +| 78 | Gaussq2:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 79 | Gaussq2:Alt | PolyRow2 | A165900 | 1 -1 -1 1 5 11 19 29 41 55 71 89 109 131 155 181 209 239 271 305 341 379 419 461 505 551 599 649 | +| 80 | Gaussq2:Alt | PolyRow3 | missing | 1 0 7 16 21 16 -5 -48 -119 -224 -369 -560 -803 -1104 -1469 -1904 -2415 -3008 -3689 -4464 -5339 | +| 81 | Gaussq2:Alt | PolyCol2 | missing | 1 -1 -1 7 7 -217 -217 27559 27559 -14082649 -14082649 28827182503 28827182503 -236123451882073 | +| 82 | Gaussq2:Alt | PolyCol3 | missing | 1 -2 1 16 -53 -614 6157 103732 -2553281 -74248418 4062676609 219743041624 -25388383139117 | +| 83 | Gaussq2:Alt | PolyDiag | missing | 1 0 -1 16 -203 596 122203 -6269556 -98358071 58362339448 -3712118530129 -1822976642783240 | +| 84 | Gaussq2:Inv | Triangle | A135950 | 1 -1 1 2 -3 1 -8 14 -7 1 64 -120 70 -15 1 -1024 1984 -1240 310 -31 1 32768 -64512 41664 -11160 1302 | +| 85 | Gaussq2:Inv | Rev | A158474 | 1 1 -1 1 -3 2 1 -7 14 -8 1 -15 70 -120 64 1 -31 310 -1240 1984 -1024 1 -63 1302 -11160 41664 -64512 | +| 86 | Gaussq2:Inv | RevInv | A022166 | 1 1 1 1 3 1 1 7 7 1 1 15 35 15 1 1 31 155 155 31 1 1 63 651 1395 651 63 1 1 127 2667 11811 11811 | +| 87 | Gaussq2:Inv | Acc | missing | 1 -1 0 2 -1 0 -8 6 -1 0 64 -56 14 -1 0 -1024 960 -280 30 -1 0 32768 -31744 9920 -1240 62 -1 0 | +| 88 | Gaussq2:Inv | AccRev | missing | 1 1 0 1 -2 0 1 -6 8 0 1 -14 56 -64 0 1 -30 280 -960 1024 0 1 -62 1240 -9920 31744 -32768 0 1 -126 | +| 89 | Gaussq2:Inv | AntiDiag | missing | 1 -1 2 1 -8 -3 64 14 1 -1024 -120 -7 32768 1984 70 1 -2097152 -64512 -1240 -15 268435456 4161536 | +| 90 | Gaussq2:Inv | Diffx1 | missing | 1 -1 2 2 -6 3 -8 28 -21 4 64 -240 210 -60 5 -1024 3968 -3720 1240 -155 6 32768 -129024 124992 | +| 91 | Gaussq2:Inv | EvenSum | A028362 | 1 -1 3 -15 135 -2295 75735 -4922775 635037975 -163204759575 83724041661975 -85817142703524375 | +| 92 | Gaussq2:Inv | OddSum | A028362 | 0 1 -3 15 -135 2295 -75735 4922775 -635037975 163204759575 -83724041661975 85817142703524375 | +| 93 | Gaussq2:Inv | AltSum | A028361 | 1 -2 6 -30 270 -4590 151470 -9845550 1270075950 -326409519150 167448083323950 -171634285407048750 | +| 94 | Gaussq2:Inv | DiagSum | missing | 1 -1 3 -11 79 -1151 34823 -2162919 272638967 -69256992695 35321897094615 -36099188233043287 | +| 95 | Gaussq2:Inv | AccSum | A005329 | 1 -1 1 -3 21 -315 9765 -615195 78129765 -19923090075 10180699028325 -10414855105976475 | +| 96 | Gaussq2:Inv | AccRevSum | A005329 | 1 1 -1 3 -21 315 -9765 615195 -78129765 19923090075 -10180699028325 10414855105976475 | +| 97 | Gaussq2:Inv | RowLcm | missing | 1 1 6 56 6720 158720 319979520 173386235904 808475248558080 1137220409842728960 | +| 98 | Gaussq2:Inv | RowMax | B127850 | 1 1 3 14 120 1984 64512 4161536 534773760 137170518016 70300024700928 72022409665839104 | +| 99 | Gaussq2:Inv | ColMiddle | missing | 1 -1 -3 14 70 -1240 -11160 755904 12850368 -3389180928 -111842970624 116288284884992 | +| 100 | Gaussq2:Inv | CentralE | B135951 | 1 -3 70 -11160 12850368 -111842970624 7558738517524480 -4024873276683363287040 | +| 101 | Gaussq2:Inv | CentralO | missing | -1 14 -1240 755904 -3389180928 116288284884992 -31200568036305141760 66200105490614595677585408 | +| 102 | Gaussq2:Inv | ColLeft | A006125 | 1 -1 2 -8 64 -1024 32768 -2097152 268435456 -68719476736 35184372088832 -36028797018963968 | +| 103 | Gaussq2:Inv | BinConv | missing | 1 0 -3 14 -55 -558 66609 -7056882 1180047537 -345215150910 181970174430825 -172524467631059058 | +| 104 | Gaussq2:Inv | InvBinConv | missing | 1 2 9 72 1025 26600 1287909 118455696 20965995297 7205821917296 4839261283120341 | +| 105 | Gaussq2:Inv | TransNat0 | A005329 | 0 1 -1 3 -21 315 -9765 615195 -78129765 19923090075 -10180699028325 10414855105976475 | +| 106 | Gaussq2:Inv | TransNat1 | A005329 | 1 1 -1 3 -21 315 -9765 615195 -78129765 19923090075 -10180699028325 10414855105976475 | +| 107 | Gaussq2:Inv | TransSqrs | missing | 0 1 1 -5 41 -657 20997 -1342341 171707697 -43941722265 22494066257565 -23031791179545645 | +| 108 | Gaussq2:Inv | PosHalf | A005329 | 1 -1 3 -21 315 -9765 615195 -78129765 19923090075 -10180699028325 10414855105976475 | +| 109 | Gaussq2:Inv | NegHalf | A028362 | 1 3 15 135 2295 75735 4922775 635037975 163204759575 83724041661975 85817142703524375 | +| 110 | Gaussq2:Inv | DiagRow1 | A060152 | -1 -3 -7 -15 -31 -63 -127 -255 -511 -1023 -2047 -4095 -8191 -16383 -32767 -65535 -131071 -262143 | +| 111 | Gaussq2:Inv | DiagRow2 | A203241 | 2 14 70 310 1302 5334 21590 86870 348502 1396054 5588310 22361430 89462102 357881174 1431590230 | +| 112 | Gaussq2:Inv | DiagRow3 | missing | -8 -120 -1240 -11160 -94488 -777240 -6304280 -50781720 -407647768 -3266766360 -26156484120 | +| 113 | Gaussq2:Inv | DiagCol1 | B127850 | 1 -3 14 -120 1984 -64512 4161536 -534773760 137170518016 -70300024700928 72022409665839104 | +| 114 | Gaussq2:Inv | DiagCol2 | missing | 1 -7 70 -1240 41664 -2731008 353730560 -91089797120 46775146643456 -47968050187599872 | +| 115 | Gaussq2:Inv | DiagCol3 | missing | 1 -15 310 -11160 755904 -99486720 25822330880 -13312123207680 13678389311307776 | +| 116 | Gaussq2:Inv | Poly | missing | 1 -1 1 2 0 1 -8 0 1 1 64 0 0 2 1 -1024 0 0 2 3 1 32768 0 0 -2 6 4 1 -2097152 0 0 10 0 12 5 1 | +| 117 | Gaussq2:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 118 | Gaussq2:Inv | PolyRow2 | A279019 | 2 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 119 | Gaussq2:Inv | PolyRow3 | missing | -8 0 0 -2 0 12 40 90 168 280 432 630 880 1188 1560 2002 2520 3120 3808 4590 5472 6460 7560 8778 | +| 120 | Gaussq2:Inv | PolyCol2 | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 121 | Gaussq2:Inv | PolyCol3 | missing | 1 2 2 -2 10 -130 3770 -229970 28746250 -7272801250 3701855836250 -3779594808811250 | +| 122 | Gaussq2:Inv | PolyDiag | missing | 1 0 0 -2 0 396 -20800 1154250 0 -72877004200 89743347505152 -153012210826088250 | +| 123 | Gaussq2:Inv:Rev | Triangle | A158474 | 1 1 -1 1 -3 2 1 -7 14 -8 1 -15 70 -120 64 1 -31 310 -1240 1984 -1024 1 -63 1302 -11160 41664 -64512 | +| 124 | Gaussq2:Inv:Rev | Rev | A135950 | 1 -1 1 2 -3 1 -8 14 -7 1 64 -120 70 -15 1 -1024 1984 -1240 310 -31 1 32768 -64512 41664 -11160 1302 | +| 125 | Gaussq2:Inv:Rev | InvRev | A022166 | 1 1 1 1 3 1 1 7 7 1 1 15 35 15 1 1 31 155 155 31 1 1 63 651 1395 651 63 1 1 127 2667 11811 11811 | +| 126 | Gaussq2:Inv:Rev | Acc | missing | 1 1 0 1 -2 0 1 -6 8 0 1 -14 56 -64 0 1 -30 280 -960 1024 0 1 -62 1240 -9920 31744 -32768 0 1 -126 | +| 127 | Gaussq2:Inv:Rev | AccRev | missing | 1 -1 0 2 -1 0 -8 6 -1 0 64 -56 14 -1 0 -1024 960 -280 30 -1 0 32768 -31744 9920 -1240 62 -1 0 | +| 128 | Gaussq2:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -3 1 -7 2 1 -15 14 1 -31 70 -8 1 -63 310 -120 1 -127 1302 -1240 64 1 -255 5334 -11160 | +| 129 | Gaussq2:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -6 6 1 -14 42 -32 1 -30 210 -480 320 1 -62 930 -4960 9920 -6144 1 -126 3906 -44640 208320 | +| 130 | Gaussq2:Inv:Rev | EvenSum | A028362 | 1 1 3 15 135 2295 75735 4922775 635037975 163204759575 83724041661975 85817142703524375 | +| 131 | Gaussq2:Inv:Rev | OddSum | A028362 | 0 -1 -3 -15 -135 -2295 -75735 -4922775 -635037975 -163204759575 -83724041661975 -85817142703524375 | +| 132 | Gaussq2:Inv:Rev | AltSum | A028361 | 1 2 6 30 270 4590 151470 9845550 1270075950 326409519150 167448083323950 171634285407048750 | +| 133 | Gaussq2:Inv:Rev | DiagSum | missing | 1 1 0 -2 -4 0 32 128 0 -4096 -32768 0 4194304 67108864 0 -34359738368 -1099511627776 0 | +| 134 | Gaussq2:Inv:Rev | AccSum | A005329 | 1 1 -1 3 -21 315 -9765 615195 -78129765 19923090075 -10180699028325 10414855105976475 | +| 135 | Gaussq2:Inv:Rev | AccRevSum | A005329 | 1 -1 1 -3 21 -315 9765 -615195 78129765 -19923090075 10180699028325 -10414855105976475 | +| 136 | Gaussq2:Inv:Rev | RowLcm | missing | 1 1 6 56 6720 158720 319979520 173386235904 808475248558080 1137220409842728960 | +| 137 | Gaussq2:Inv:Rev | RowMax | B127850 | 1 1 3 14 120 1984 64512 4161536 534773760 137170518016 70300024700928 72022409665839104 | +| 138 | Gaussq2:Inv:Rev | ColMiddle | missing | 1 1 -3 -7 70 310 -11160 -94488 12850368 211823808 -111842970624 -3634008902656 7558738517524480 | +| 139 | Gaussq2:Inv:Rev | CentralE | B135951 | 1 -3 70 -11160 12850368 -111842970624 7558738517524480 -4024873276683363287040 | +| 140 | Gaussq2:Inv:Rev | CentralO | missing | 1 -7 310 -94488 211823808 -3634008902656 487508875567267840 -517188324145426528731136 | +| 141 | Gaussq2:Inv:Rev | ColRight | A006125 | 1 -1 2 -8 64 -1024 32768 -2097152 268435456 -68719476736 35184372088832 -36028797018963968 | +| 142 | Gaussq2:Inv:Rev | BinConv | missing | 1 0 -3 14 -55 -558 66609 -7056882 1180047537 -345215150910 181970174430825 -172524467631059058 | +| 143 | Gaussq2:Inv:Rev | InvBinConv | missing | 1 -2 9 -72 1025 -26600 1287909 -118455696 20965995297 -7205821917296 4839261283120341 | +| 144 | Gaussq2:Inv:Rev | TransNat0 | A005329 | 0 -1 1 -3 21 -315 9765 -615195 78129765 -19923090075 10180699028325 -10414855105976475 | +| 145 | Gaussq2:Inv:Rev | TransNat1 | A005329 | 1 -1 1 -3 21 -315 9765 -615195 78129765 -19923090075 10180699028325 -10414855105976475 | +| 146 | Gaussq2:Inv:Rev | TransSqrs | missing | 0 -1 5 -23 209 -3807 138177 -9955071 1421783937 -402557343615 226108046824065 -252158603511028095 | +| 147 | Gaussq2:Inv:Rev | PosHalf | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 148 | Gaussq2:Inv:Rev | NegHalf | A139486 | 1 -3 12 -72 720 -12960 440640 -29082240 3780691200 -975418329600 501365021414400 | +| 149 | Gaussq2:Inv:Rev | DiagRow1 | B127850 | 1 -3 14 -120 1984 -64512 4161536 -534773760 137170518016 -70300024700928 72022409665839104 | +| 150 | Gaussq2:Inv:Rev | DiagRow2 | missing | 1 -7 70 -1240 41664 -2731008 353730560 -91089797120 46775146643456 -47968050187599872 | +| 151 | Gaussq2:Inv:Rev | DiagRow3 | missing | 1 -15 310 -11160 755904 -99486720 25822330880 -13312123207680 13678389311307776 | +| 152 | Gaussq2:Inv:Rev | DiagCol1 | A060152 | -1 -3 -7 -15 -31 -63 -127 -255 -511 -1023 -2047 -4095 -8191 -16383 -32767 -65535 -131071 -262143 | +| 153 | Gaussq2:Inv:Rev | DiagCol2 | A203241 | 2 14 70 310 1302 5334 21590 86870 348502 1396054 5588310 22361430 89462102 357881174 1431590230 | +| 154 | Gaussq2:Inv:Rev | DiagCol3 | missing | -8 -120 -1240 -11160 -94488 -777240 -6304280 -50781720 -407647768 -3266766360 -26156484120 | +| 155 | Gaussq2:Inv:Rev | Poly | A107889 | 1 1 1 1 0 1 1 0 -1 1 1 0 3 -2 1 1 0 -21 10 -3 1 1 0 315 -110 21 -4 1 1 0 -9765 2530 -315 36 -5 1 1 | +| 156 | Gaussq2:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 157 | Gaussq2:Inv:Rev | PolyRow2 | A014105 | 1 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | +| 158 | Gaussq2:Inv:Rev | PolyRow3 | missing | 1 0 -21 -110 -315 -684 -1265 -2106 -3255 -4760 -6669 -9030 -11891 -15300 -19305 -23954 -29295 | +| 159 | Gaussq2:Inv:Rev | PolyCol2 | A005329 | 1 -1 3 -21 315 -9765 615195 -78129765 19923090075 -10180699028325 10414855105976475 | +| 160 | Gaussq2:Inv:Rev | PolyCol3 | missing | 1 -2 10 -110 2530 -118910 11296450 -2157621950 826369206850 -633825181653950 972921653838813250 | +| 161 | Gaussq2:Inv:Rev | PolyDiag | missing | 1 0 3 -110 9765 -2107404 1078810975 -1281611575530 3471618368658825 -21140747635478471000 | \ No newline at end of file diff --git a/data/md/Genocchi.md b/data/md/Genocchi.md index 1592fd9..4d51551 100644 --- a/data/md/Genocchi.md +++ b/data/md/Genocchi.md @@ -1,81 +1,121 @@ -| | triangle | trait | anum | seq | -|---:|:-------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | Genocchi:Std | Triangle | A297703 | 1 1 1 2 3 3 8 14 17 17 56 104 138 155 155 608 1160 1608 1918 2073 2073 9440 18272 25944 32008 36154 | -| 1 | Genocchi:Std | Rev | missing | 1 1 1 3 3 2 17 17 14 8 155 155 138 104 56 2073 2073 1918 1608 1160 608 38227 38227 36154 32008 | -| 2 | Genocchi:Std | Acc | missing | 1 1 2 2 5 8 8 22 39 56 56 160 298 453 608 608 1768 3376 5294 7367 9440 9440 27712 53656 85664 | -| 3 | Genocchi:Std | AccRev | missing | 1 1 2 3 6 8 17 34 48 56 155 310 448 552 608 2073 4146 6064 7672 8832 9440 38227 76454 112608 144616 | -| 4 | Genocchi:Std | AntiDiag | missing | 1 1 2 1 8 3 56 14 3 608 104 17 9440 1160 138 17 198272 18272 1608 155 5410688 387104 25944 1918 155 | -| 5 | Genocchi:Std | Diffx1 | missing | 1 1 2 2 6 9 8 28 51 68 56 208 414 620 775 608 2320 4824 7672 10365 12438 9440 36544 77832 128032 | -| 6 | Genocchi:Std | RowSum | B005439 | 1 2 8 56 608 9440 198272 5410688 186043904 7867739648 401293838336 24290513745920 1721379917619200 | -| 7 | Genocchi:Std | EvenSum | missing | 1 1 5 25 349 4289 109765 2500393 100852205 3681669649 214553157013 11472607401593 911390528780989 | -| 8 | Genocchi:Std | OddSum | missing | 0 1 3 31 259 5151 88507 2910295 85191699 4186069999 186740681323 12817906344327 809989388838211 | -| 9 | Genocchi:Std | AltSum | missing | 1 0 2 -6 90 -862 21258 -409902 15660506 -504400350 27812475690 -1345298942734 101401139942778 | -| 10 | Genocchi:Std | DiagSum | missing | 1 1 3 11 73 729 10755 218307 5825809 197258753 8250605691 417400530139 25108813596889 | -| 11 | Genocchi:Std | AccSum | missing | 1 3 15 125 1575 27853 656607 19875573 750786135 34601854397 1910375017551 124447006212997 | -| 12 | Genocchi:Std | AccRevSum | B110501 | 1 3 17 155 2073 38227 929569 28820619 1109652905 51943281731 2905151042481 191329672483963 | -| 13 | Genocchi:Std | RowLcm | missing | 1 1 6 952 7785960 11742600707040 48330376367013905045280 1394963925815260169445240796533120 | -| 14 | Genocchi:Std | RowMax | A001469 | 1 1 3 17 155 2073 38227 929569 28820619 1109652905 51943281731 2905151042481 191329672483963 | -| 15 | Genocchi:Std | ColMiddle | missing | 1 1 3 14 138 1608 32008 702280 23281432 826094560 40990855776 2142617789472 148530446419808 | -| 16 | Genocchi:Std | CentralE | missing | 1 3 138 32008 23281432 40990855776 148530446419808 990793141677516416 11215719940701859747200 | -| 17 | Genocchi:Std | CentralO | missing | 1 14 1608 702280 826094560 2142617789472 10739019716120192 94695920709718106240 | -| 18 | Genocchi:Std | ColLeft | A005439 | 1 1 2 8 56 608 9440 198272 5410688 186043904 7867739648 401293838336 24290513745920 | -| 19 | Genocchi:Std | ColRight | A001469 | 1 1 3 17 155 2073 38227 929569 28820619 1109652905 51943281731 2905151042481 191329672483963 | -| 20 | Genocchi:Std | BinConv | missing | 1 2 11 118 2075 54106 1958291 93874558 5754873035 439059245986 40790951673251 4533473402322118 | -| 21 | Genocchi:Std | InvBinConv | B036968 | 1 0 -1 0 3 0 -17 0 155 0 -2073 0 38227 0 -929569 0 28820619 0 -1109652905 0 51943281731 0 | -| 22 | Genocchi:Std | TransNat0 | missing | 0 1 9 99 1465 28787 731297 23409931 923609001 44075542083 2503857204145 167039158738043 | -| 23 | Genocchi:Std | TransNat1 | B110501 | 1 3 17 155 2073 38227 929569 28820619 1109652905 51943281731 2905151042481 191329672483963 | -| 24 | Genocchi:Std | TransSqrs | missing | 0 1 15 235 4531 109847 3320431 123273403 5533969803 296088979327 18638740323559 1364772490606595 | -| 25 | Genocchi:Std | PosHalf | missing | 1 3 17 171 2745 64771 2119329 92108379 5143290377 359335100979 30736977912561 3161546060955787 | -| 26 | Genocchi:Std | NegHalf | missing | 1 -1 5 -25 461 -8161 284885 -11096233 630154589 -42245508337 3616785941861 -365905646032057 | -| 27 | Genocchi:Std | DiagRow1 | B110501 | 1 3 17 155 2073 38227 929569 28820619 1109652905 51943281731 2905151042481 191329672483963 | -| 28 | Genocchi:Std | DiagRow2 | missing | 2 14 138 1918 36154 891342 27891050 1080832286 50833628826 2853207760750 188424521441482 | -| 29 | Genocchi:Std | DiagRow3 | missing | 8 104 1608 32008 814888 26031912 1023191048 48614323016 2749321197288 182614219356520 | -| 30 | Genocchi:Std | DiagCol1 | missing | 1 3 14 104 1160 18272 387104 10623104 366677120 15549435392 794719937024 48179733653504 | -| 31 | Genocchi:Std | DiagCol2 | missing | 3 17 138 1608 25944 557664 15448416 536687232 22864454016 1172596600320 71274233624064 | -| 32 | Genocchi:Std | DiagCol3 | missing | 17 155 1918 32008 702280 19716064 691248928 29642785408 1527608809600 93196136994304 | -| 33 | Genocchi:Std | Poly | missing | 1 1 1 2 2 1 8 8 3 1 56 56 20 4 1 608 608 240 38 5 1 9440 9440 4536 662 62 6 1 198272 198272 124208 | -| 34 | Genocchi:Std | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 35 | Genocchi:Std | PolyRow2 | B077588 | 2 8 20 38 62 92 128 170 218 272 332 398 470 548 632 722 818 920 1028 1142 1262 1388 1520 1658 1802 | -| 36 | Genocchi:Std | PolyRow3 | missing | 8 56 240 662 1424 2628 4376 6770 9912 13904 18848 24846 32000 40412 50184 61418 74216 88680 104912 | -| 37 | Genocchi:Std | PolyCol2 | missing | 1 3 20 240 4536 124208 4654080 228859776 14303848064 1107862922496 104171982879744 | -| 38 | Genocchi:Std | PolyCol3 | missing | 1 4 38 662 18350 741998 41247086 3018565358 281375550542 32550962041742 4576387009804334 | -| 39 | Genocchi:Std | PolyDiag | missing | 1 2 20 662 52280 8060108 2135594432 892111352906 552241988561792 483443881772422040 | -| 40 | Genocchi:Rev | Triangle | missing | 1 1 1 3 3 2 17 17 14 8 155 155 138 104 56 2073 2073 1918 1608 1160 608 38227 38227 36154 32008 | -| 41 | Genocchi:Rev | Acc | missing | 1 1 2 3 6 8 17 34 48 56 155 310 448 552 608 2073 4146 6064 7672 8832 9440 38227 76454 112608 144616 | -| 42 | Genocchi:Rev | AccRev | missing | 1 1 2 2 5 8 8 22 39 56 56 160 298 453 608 608 1768 3376 5294 7367 9440 9440 27712 53656 85664 | -| 43 | Genocchi:Rev | AntiDiag | missing | 1 1 3 1 17 3 155 17 2 2073 155 14 38227 2073 138 8 929569 38227 1918 104 28820619 929569 36154 1608 | -| 44 | Genocchi:Rev | Diffx1 | missing | 1 1 2 3 6 6 17 34 42 32 155 310 414 416 280 2073 4146 5754 6432 5800 3648 38227 76454 108462 128032 | -| 45 | Genocchi:Rev | RowSum | B005439 | 1 2 8 56 608 9440 198272 5410688 186043904 7867739648 401293838336 24290513745920 1721379917619200 | -| 46 | Genocchi:Rev | EvenSum | missing | 1 1 5 31 349 5151 109765 2910295 100852205 4186069999 214553157013 12817906344327 911390528780989 | -| 47 | Genocchi:Rev | OddSum | missing | 0 1 3 25 259 4289 88507 2500393 85191699 3681669649 186740681323 11472607401593 809989388838211 | -| 48 | Genocchi:Rev | AltSum | missing | 1 0 2 6 90 862 21258 409902 15660506 504400350 27812475690 1345298942734 101401139942778 | -| 49 | Genocchi:Rev | DiagSum | missing | 1 1 4 20 174 2242 40446 969818 29788006 1139398034 53081667126 2958201908962 194286704194854 | -| 50 | Genocchi:Rev | AccSum | B110501 | 1 3 17 155 2073 38227 929569 28820619 1109652905 51943281731 2905151042481 191329672483963 | -| 51 | Genocchi:Rev | AccRevSum | missing | 1 3 15 125 1575 27853 656607 19875573 750786135 34601854397 1910375017551 124447006212997 | -| 52 | Genocchi:Rev | RowLcm | missing | 1 1 6 952 7785960 11742600707040 48330376367013905045280 1394963925815260169445240796533120 | -| 53 | Genocchi:Rev | RowMax | A001469 | 1 1 3 17 155 2073 38227 929569 28820619 1109652905 51943281731 2905151042481 191329672483963 | -| 54 | Genocchi:Rev | ColMiddle | missing | 1 1 3 17 138 1918 32008 814888 23281432 937658760 40990855776 2391266489696 148530446419808 | -| 55 | Genocchi:Rev | CentralE | missing | 1 3 138 32008 23281432 40990855776 148530446419808 990793141677516416 11215719940701859747200 | -| 56 | Genocchi:Rev | CentralO | missing | 1 17 1918 814888 937658760 2391266489696 11829206389864736 103230184431408446592 | -| 57 | Genocchi:Rev | ColLeft | A001469 | 1 1 3 17 155 2073 38227 929569 28820619 1109652905 51943281731 2905151042481 191329672483963 | -| 58 | Genocchi:Rev | ColRight | A005439 | 1 1 2 8 56 608 9440 198272 5410688 186043904 7867739648 401293838336 24290513745920 | -| 59 | Genocchi:Rev | BinConv | missing | 1 2 11 118 2075 54106 1958291 93874558 5754873035 439059245986 40790951673251 4533473402322118 | -| 60 | Genocchi:Rev | InvBinConv | B036968 | 1 0 -1 0 3 0 -17 0 155 0 -2073 0 38227 0 -929569 0 28820619 0 -1109652905 0 51943281731 0 | -| 61 | Genocchi:Rev | TransNat0 | missing | 0 1 7 69 967 18413 458335 14464885 564742231 26734114749 1509081179215 100156492467077 | -| 62 | Genocchi:Rev | TransNat1 | missing | 1 3 15 125 1575 27853 656607 19875573 750786135 34601854397 1910375017551 124447006212997 | -| 63 | Genocchi:Rev | TransSqrs | missing | 0 1 11 145 2539 57977 1682659 60658081 2663035643 140016133321 8690980074259 629063161625969 | -| 64 | Genocchi:Rev | PosHalf | missing | 1 3 20 240 4536 124208 4654080 228859776 14303848064 1107862922496 104171982879744 | -| 65 | Genocchi:Rev | NegHalf | missing | 1 -1 8 -88 1640 -43792 1622336 -78940672 4901777792 -377651569408 35376898617344 -3958593435437056 | -| 66 | Genocchi:Rev | DiagRow1 | missing | 1 3 14 104 1160 18272 387104 10623104 366677120 15549435392 794719937024 48179733653504 | -| 67 | Genocchi:Rev | DiagRow2 | missing | 3 17 138 1608 25944 557664 15448416 536687232 22864454016 1172596600320 71274233624064 | -| 68 | Genocchi:Rev | DiagRow3 | missing | 17 155 1918 32008 702280 19716064 691248928 29642785408 1527608809600 93196136994304 | -| 69 | Genocchi:Rev | DiagCol1 | B110501 | 1 3 17 155 2073 38227 929569 28820619 1109652905 51943281731 2905151042481 191329672483963 | -| 70 | Genocchi:Rev | DiagCol2 | missing | 2 14 138 1918 36154 891342 27891050 1080832286 50833628826 2853207760750 188424521441482 | -| 71 | Genocchi:Rev | DiagCol3 | missing | 8 104 1608 32008 814888 26031912 1023191048 48614323016 2749321197288 182614219356520 | -| 72 | Genocchi:Rev | Poly | missing | 1 1 1 3 2 1 17 8 3 1 155 56 17 4 1 2073 608 171 30 5 1 38227 9440 2745 410 47 6 1 929569 198272 | -| 73 | Genocchi:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 74 | Genocchi:Rev | PolyRow2 | A033816 | 3 8 17 30 47 68 93 122 155 192 233 278 327 380 437 498 563 632 705 782 863 948 1037 1130 1227 1328 | -| 75 | Genocchi:Rev | PolyRow3 | missing | 17 56 171 410 821 1452 2351 3566 5145 7136 9587 12546 16061 20180 24951 30422 36641 43656 51515 | -| 76 | Genocchi:Rev | PolyCol2 | missing | 1 3 17 171 2745 64771 2119329 92108379 5143290377 359335100979 30736977912561 3161546060955787 | -| 77 | Genocchi:Rev | PolyCol3 | missing | 1 4 30 410 9206 310674 14765830 941959042 77740110774 8063809789778 1027140312900326 | -| 78 | Genocchi:Rev | PolyDiag | missing | 1 2 17 410 23975 2886388 624621997 220217368214 117861044130659 90851560946785640 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:-------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | Genocchi:Std | Triangle | A297703 | 1 1 1 2 3 3 8 14 17 17 56 104 138 155 155 608 1160 1608 1918 2073 2073 9440 18272 25944 32008 36154 | +| 1 | Genocchi:Std | Rev | missing | 1 1 1 3 3 2 17 17 14 8 155 155 138 104 56 2073 2073 1918 1608 1160 608 38227 38227 36154 32008 | +| 2 | Genocchi:Std | Acc | missing | 1 1 2 2 5 8 8 22 39 56 56 160 298 453 608 608 1768 3376 5294 7367 9440 9440 27712 53656 85664 | +| 3 | Genocchi:Std | AccRev | missing | 1 1 2 3 6 8 17 34 48 56 155 310 448 552 608 2073 4146 6064 7672 8832 9440 38227 76454 112608 144616 | +| 4 | Genocchi:Std | AntiDiag | missing | 1 1 2 1 8 3 56 14 3 608 104 17 9440 1160 138 17 198272 18272 1608 155 5410688 387104 25944 1918 155 | +| 5 | Genocchi:Std | Diffx1 | missing | 1 1 2 2 6 9 8 28 51 68 56 208 414 620 775 608 2320 4824 7672 10365 12438 9440 36544 77832 128032 | +| 6 | Genocchi:Std | RowSum | B005439 | 1 2 8 56 608 9440 198272 5410688 186043904 7867739648 401293838336 24290513745920 1721379917619200 | +| 7 | Genocchi:Std | EvenSum | missing | 1 1 5 25 349 4289 109765 2500393 100852205 3681669649 214553157013 11472607401593 911390528780989 | +| 8 | Genocchi:Std | OddSum | missing | 0 1 3 31 259 5151 88507 2910295 85191699 4186069999 186740681323 12817906344327 809989388838211 | +| 9 | Genocchi:Std | AltSum | missing | 1 0 2 -6 90 -862 21258 -409902 15660506 -504400350 27812475690 -1345298942734 101401139942778 | +| 10 | Genocchi:Std | DiagSum | missing | 1 1 3 11 73 729 10755 218307 5825809 197258753 8250605691 417400530139 25108813596889 | +| 11 | Genocchi:Std | AccSum | missing | 1 3 15 125 1575 27853 656607 19875573 750786135 34601854397 1910375017551 124447006212997 | +| 12 | Genocchi:Std | AccRevSum | B110501 | 1 3 17 155 2073 38227 929569 28820619 1109652905 51943281731 2905151042481 191329672483963 | +| 13 | Genocchi:Std | RowLcm | missing | 1 1 6 952 7785960 11742600707040 48330376367013905045280 1394963925815260169445240796533120 | +| 14 | Genocchi:Std | RowMax | A001469 | 1 1 3 17 155 2073 38227 929569 28820619 1109652905 51943281731 2905151042481 191329672483963 | +| 15 | Genocchi:Std | ColMiddle | missing | 1 1 3 14 138 1608 32008 702280 23281432 826094560 40990855776 2142617789472 148530446419808 | +| 16 | Genocchi:Std | CentralE | missing | 1 3 138 32008 23281432 40990855776 148530446419808 990793141677516416 11215719940701859747200 | +| 17 | Genocchi:Std | CentralO | missing | 1 14 1608 702280 826094560 2142617789472 10739019716120192 94695920709718106240 | +| 18 | Genocchi:Std | ColLeft | A005439 | 1 1 2 8 56 608 9440 198272 5410688 186043904 7867739648 401293838336 24290513745920 | +| 19 | Genocchi:Std | ColRight | A001469 | 1 1 3 17 155 2073 38227 929569 28820619 1109652905 51943281731 2905151042481 191329672483963 | +| 20 | Genocchi:Std | BinConv | missing | 1 2 11 118 2075 54106 1958291 93874558 5754873035 439059245986 40790951673251 4533473402322118 | +| 21 | Genocchi:Std | InvBinConv | B036968 | 1 0 -1 0 3 0 -17 0 155 0 -2073 0 38227 0 -929569 0 28820619 0 -1109652905 0 51943281731 0 | +| 22 | Genocchi:Std | TransNat0 | missing | 0 1 9 99 1465 28787 731297 23409931 923609001 44075542083 2503857204145 167039158738043 | +| 23 | Genocchi:Std | TransNat1 | B110501 | 1 3 17 155 2073 38227 929569 28820619 1109652905 51943281731 2905151042481 191329672483963 | +| 24 | Genocchi:Std | TransSqrs | missing | 0 1 15 235 4531 109847 3320431 123273403 5533969803 296088979327 18638740323559 1364772490606595 | +| 25 | Genocchi:Std | PosHalf | missing | 1 3 17 171 2745 64771 2119329 92108379 5143290377 359335100979 30736977912561 3161546060955787 | +| 26 | Genocchi:Std | NegHalf | missing | 1 -1 5 -25 461 -8161 284885 -11096233 630154589 -42245508337 3616785941861 -365905646032057 | +| 27 | Genocchi:Std | DiagRow1 | B110501 | 1 3 17 155 2073 38227 929569 28820619 1109652905 51943281731 2905151042481 191329672483963 | +| 28 | Genocchi:Std | DiagRow2 | missing | 2 14 138 1918 36154 891342 27891050 1080832286 50833628826 2853207760750 188424521441482 | +| 29 | Genocchi:Std | DiagRow3 | missing | 8 104 1608 32008 814888 26031912 1023191048 48614323016 2749321197288 182614219356520 | +| 30 | Genocchi:Std | DiagCol1 | missing | 1 3 14 104 1160 18272 387104 10623104 366677120 15549435392 794719937024 48179733653504 | +| 31 | Genocchi:Std | DiagCol2 | missing | 3 17 138 1608 25944 557664 15448416 536687232 22864454016 1172596600320 71274233624064 | +| 32 | Genocchi:Std | DiagCol3 | missing | 17 155 1918 32008 702280 19716064 691248928 29642785408 1527608809600 93196136994304 | +| 33 | Genocchi:Std | Poly | missing | 1 1 1 2 2 1 8 8 3 1 56 56 20 4 1 608 608 240 38 5 1 9440 9440 4536 662 62 6 1 198272 198272 124208 | +| 34 | Genocchi:Std | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 35 | Genocchi:Std | PolyRow2 | B077588 | 2 8 20 38 62 92 128 170 218 272 332 398 470 548 632 722 818 920 1028 1142 1262 1388 1520 1658 1802 | +| 36 | Genocchi:Std | PolyRow3 | missing | 8 56 240 662 1424 2628 4376 6770 9912 13904 18848 24846 32000 40412 50184 61418 74216 88680 104912 | +| 37 | Genocchi:Std | PolyCol2 | missing | 1 3 20 240 4536 124208 4654080 228859776 14303848064 1107862922496 104171982879744 | +| 38 | Genocchi:Std | PolyCol3 | missing | 1 4 38 662 18350 741998 41247086 3018565358 281375550542 32550962041742 4576387009804334 | +| 39 | Genocchi:Std | PolyDiag | missing | 1 2 20 662 52280 8060108 2135594432 892111352906 552241988561792 483443881772422040 | +| 40 | Genocchi:Alt | Triangle | A297703 | 1 1 -1 2 -3 3 8 -14 17 -17 56 -104 138 -155 155 608 -1160 1608 -1918 2073 -2073 9440 -18272 25944 | +| 41 | Genocchi:Alt | Rev | missing | 1 -1 1 3 -3 2 -17 17 -14 8 155 -155 138 -104 56 -2073 2073 -1918 1608 -1160 608 38227 -38227 36154 | +| 42 | Genocchi:Alt | Acc | missing | 1 1 0 2 -1 2 8 -6 11 -6 56 -48 90 -65 90 608 -552 1056 -862 1211 -862 9440 -8832 17112 -14896 21258 | +| 43 | Genocchi:Alt | AccRev | missing | 1 -1 0 3 0 2 -17 0 -14 -6 155 0 138 34 90 -2073 0 -1918 -310 -1470 -862 38227 0 36154 4146 30090 | +| 44 | Genocchi:Alt | AntiDiag | missing | 1 1 2 -1 8 -3 56 -14 3 608 -104 17 9440 -1160 138 -17 198272 -18272 1608 -155 5410688 -387104 25944 | +| 45 | Genocchi:Alt | Diffx1 | missing | 1 1 -2 2 -6 9 8 -28 51 -68 56 -208 414 -620 775 608 -2320 4824 -7672 10365 -12438 9440 -36544 77832 | +| 46 | Genocchi:Alt | RowSum | missing | 1 0 2 -6 90 -862 21258 -409902 15660506 -504400350 27812475690 -1345298942734 101401139942778 | +| 47 | Genocchi:Alt | EvenSum | missing | 1 1 5 25 349 4289 109765 2500393 100852205 3681669649 214553157013 11472607401593 911390528780989 | +| 48 | Genocchi:Alt | OddSum | missing | 0 -1 -3 -31 -259 -5151 -88507 -2910295 -85191699 -4186069999 -186740681323 -12817906344327 | +| 49 | Genocchi:Alt | AltSum | B005439 | 1 2 8 56 608 9440 198272 5410688 186043904 7867739648 401293838336 24290513745920 1721379917619200 | +| 50 | Genocchi:Alt | DiagSum | missing | 1 1 1 5 45 521 8401 181453 5047765 175948529 7515842745 386262150773 23517989442301 | +| 51 | Genocchi:Alt | AccSum | missing | 1 1 3 7 123 599 28371 226127 20685931 243294119 36523762819 594001273599 132661391814427 | +| 52 | Genocchi:Alt | AccRevSum | missing | 1 -1 5 -37 417 -6633 141693 -3915245 135919129 -5791697969 297225945461 -18082887529141 | +| 53 | Genocchi:Alt | RowLcm | missing | 1 1 6 952 7785960 11742600707040 48330376367013905045280 1394963925815260169445240796533120 | +| 54 | Genocchi:Alt | RowMax | A001469 | 1 1 3 17 155 2073 38227 929569 28820619 1109652905 51943281731 2905151042481 191329672483963 | +| 55 | Genocchi:Alt | ColMiddle | missing | 1 1 -3 -14 138 1608 -32008 -702280 23281432 826094560 -40990855776 -2142617789472 148530446419808 | +| 56 | Genocchi:Alt | CentralE | missing | 1 -3 138 -32008 23281432 -40990855776 148530446419808 -990793141677516416 11215719940701859747200 | +| 57 | Genocchi:Alt | CentralO | missing | 1 -14 1608 -702280 826094560 -2142617789472 10739019716120192 -94695920709718106240 | +| 58 | Genocchi:Alt | ColLeft | A005439 | 1 1 2 8 56 608 9440 198272 5410688 186043904 7867739648 401293838336 24290513745920 | +| 59 | Genocchi:Alt | ColRight | A001469 | 1 -1 3 -17 155 -2073 38227 -929569 28820619 -1109652905 51943281731 -2905151042481 191329672483963 | +| 60 | Genocchi:Alt | BinConv | B036968 | 1 0 -1 0 3 0 -17 0 155 0 -2073 0 38227 0 -929569 0 28820619 0 -1109652905 0 51943281731 0 | +| 61 | Genocchi:Alt | InvBinConv | missing | 1 -2 11 -118 2075 -54106 1958291 -93874558 5754873035 -439059245986 40790951673251 | +| 62 | Genocchi:Alt | TransNat0 | missing | 0 -1 3 -31 327 -5771 120435 -3505343 120258623 -5287297619 269413469771 -16737588586407 | +| 63 | Genocchi:Alt | TransNat1 | missing | 1 -1 5 -37 417 -6633 141693 -3915245 135919129 -5791697969 297225945461 -18082887529141 | +| 64 | Genocchi:Alt | TransSqrs | missing | 0 -1 9 -99 1533 -30647 796393 -25806707 1031818181 -49655128255 2845513230641 -190981905325755 | +| 65 | Genocchi:Alt | PosHalf | missing | 1 1 5 25 461 8161 284885 11096233 630154589 42245508337 3616785941861 365905646032057 | +| 66 | Genocchi:Alt | NegHalf | missing | 1 -3 17 -171 2745 -64771 2119329 -92108379 5143290377 -359335100979 30736977912561 | +| 67 | Genocchi:Alt | DiagRow1 | B001469 | 1 -3 17 -155 2073 -38227 929569 -28820619 1109652905 -51943281731 2905151042481 -191329672483963 | +| 68 | Genocchi:Alt | DiagRow2 | missing | 2 -14 138 -1918 36154 -891342 27891050 -1080832286 50833628826 -2853207760750 188424521441482 | +| 69 | Genocchi:Alt | DiagRow3 | missing | 8 -104 1608 -32008 814888 -26031912 1023191048 -48614323016 2749321197288 -182614219356520 | +| 70 | Genocchi:Alt | DiagCol1 | missing | -1 -3 -14 -104 -1160 -18272 -387104 -10623104 -366677120 -15549435392 -794719937024 -48179733653504 | +| 71 | Genocchi:Alt | DiagCol2 | missing | 3 17 138 1608 25944 557664 15448416 536687232 22864454016 1172596600320 71274233624064 | +| 72 | Genocchi:Alt | DiagCol3 | missing | -17 -155 -1918 -32008 -702280 -19716064 -691248928 -29642785408 -1527608809600 -93196136994304 | +| 73 | Genocchi:Alt | Poly | missing | 1 1 1 2 0 1 8 2 -1 1 56 -6 8 -2 1 608 90 -88 20 -3 1 9440 -862 1640 -340 38 -4 1 198272 21258 | +| 74 | Genocchi:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | Genocchi:Alt | PolyRow2 | A242658 | 2 2 8 20 38 62 92 128 170 218 272 332 398 470 548 632 722 818 920 1028 1142 1262 1388 1520 1658 | +| 76 | Genocchi:Alt | PolyRow3 | missing | 8 -6 -88 -340 -864 -1762 -3136 -5088 -7720 -11134 -15432 -20716 -27088 -34650 -43504 -53752 -65496 | +| 77 | Genocchi:Alt | PolyCol2 | missing | 1 -1 8 -88 1640 -43792 1622336 -78940672 4901777792 -377651569408 35376898617344 -3958593435437056 | +| 78 | Genocchi:Alt | PolyCol3 | missing | 1 -2 20 -340 9356 -376012 20830700 -1520807404 141534247724 -16354424297644 2297333169378284 | +| 79 | Genocchi:Alt | PolyDiag | missing | 1 0 8 -340 31608 -5387242 1527041408 -669417486552 429633164403584 -386811585079956982 | +| 80 | Genocchi:Rev | Triangle | missing | 1 1 1 3 3 2 17 17 14 8 155 155 138 104 56 2073 2073 1918 1608 1160 608 38227 38227 36154 32008 | +| 81 | Genocchi:Rev | Acc | missing | 1 1 2 3 6 8 17 34 48 56 155 310 448 552 608 2073 4146 6064 7672 8832 9440 38227 76454 112608 144616 | +| 82 | Genocchi:Rev | AccRev | missing | 1 1 2 2 5 8 8 22 39 56 56 160 298 453 608 608 1768 3376 5294 7367 9440 9440 27712 53656 85664 | +| 83 | Genocchi:Rev | AntiDiag | missing | 1 1 3 1 17 3 155 17 2 2073 155 14 38227 2073 138 8 929569 38227 1918 104 28820619 929569 36154 1608 | +| 84 | Genocchi:Rev | Diffx1 | missing | 1 1 2 3 6 6 17 34 42 32 155 310 414 416 280 2073 4146 5754 6432 5800 3648 38227 76454 108462 128032 | +| 85 | Genocchi:Rev | RowSum | B005439 | 1 2 8 56 608 9440 198272 5410688 186043904 7867739648 401293838336 24290513745920 1721379917619200 | +| 86 | Genocchi:Rev | EvenSum | missing | 1 1 5 31 349 5151 109765 2910295 100852205 4186069999 214553157013 12817906344327 911390528780989 | +| 87 | Genocchi:Rev | OddSum | missing | 0 1 3 25 259 4289 88507 2500393 85191699 3681669649 186740681323 11472607401593 809989388838211 | +| 88 | Genocchi:Rev | AltSum | missing | 1 0 2 6 90 862 21258 409902 15660506 504400350 27812475690 1345298942734 101401139942778 | +| 89 | Genocchi:Rev | DiagSum | missing | 1 1 4 20 174 2242 40446 969818 29788006 1139398034 53081667126 2958201908962 194286704194854 | +| 90 | Genocchi:Rev | AccSum | B110501 | 1 3 17 155 2073 38227 929569 28820619 1109652905 51943281731 2905151042481 191329672483963 | +| 91 | Genocchi:Rev | AccRevSum | missing | 1 3 15 125 1575 27853 656607 19875573 750786135 34601854397 1910375017551 124447006212997 | +| 92 | Genocchi:Rev | RowLcm | missing | 1 1 6 952 7785960 11742600707040 48330376367013905045280 1394963925815260169445240796533120 | +| 93 | Genocchi:Rev | RowMax | A001469 | 1 1 3 17 155 2073 38227 929569 28820619 1109652905 51943281731 2905151042481 191329672483963 | +| 94 | Genocchi:Rev | ColMiddle | missing | 1 1 3 17 138 1918 32008 814888 23281432 937658760 40990855776 2391266489696 148530446419808 | +| 95 | Genocchi:Rev | CentralE | missing | 1 3 138 32008 23281432 40990855776 148530446419808 990793141677516416 11215719940701859747200 | +| 96 | Genocchi:Rev | CentralO | missing | 1 17 1918 814888 937658760 2391266489696 11829206389864736 103230184431408446592 | +| 97 | Genocchi:Rev | ColLeft | A001469 | 1 1 3 17 155 2073 38227 929569 28820619 1109652905 51943281731 2905151042481 191329672483963 | +| 98 | Genocchi:Rev | ColRight | A005439 | 1 1 2 8 56 608 9440 198272 5410688 186043904 7867739648 401293838336 24290513745920 | +| 99 | Genocchi:Rev | BinConv | missing | 1 2 11 118 2075 54106 1958291 93874558 5754873035 439059245986 40790951673251 4533473402322118 | +| 100 | Genocchi:Rev | InvBinConv | B036968 | 1 0 -1 0 3 0 -17 0 155 0 -2073 0 38227 0 -929569 0 28820619 0 -1109652905 0 51943281731 0 | +| 101 | Genocchi:Rev | TransNat0 | missing | 0 1 7 69 967 18413 458335 14464885 564742231 26734114749 1509081179215 100156492467077 | +| 102 | Genocchi:Rev | TransNat1 | missing | 1 3 15 125 1575 27853 656607 19875573 750786135 34601854397 1910375017551 124447006212997 | +| 103 | Genocchi:Rev | TransSqrs | missing | 0 1 11 145 2539 57977 1682659 60658081 2663035643 140016133321 8690980074259 629063161625969 | +| 104 | Genocchi:Rev | PosHalf | missing | 1 3 20 240 4536 124208 4654080 228859776 14303848064 1107862922496 104171982879744 | +| 105 | Genocchi:Rev | NegHalf | missing | 1 -1 8 -88 1640 -43792 1622336 -78940672 4901777792 -377651569408 35376898617344 -3958593435437056 | +| 106 | Genocchi:Rev | DiagRow1 | missing | 1 3 14 104 1160 18272 387104 10623104 366677120 15549435392 794719937024 48179733653504 | +| 107 | Genocchi:Rev | DiagRow2 | missing | 3 17 138 1608 25944 557664 15448416 536687232 22864454016 1172596600320 71274233624064 | +| 108 | Genocchi:Rev | DiagRow3 | missing | 17 155 1918 32008 702280 19716064 691248928 29642785408 1527608809600 93196136994304 | +| 109 | Genocchi:Rev | DiagCol1 | B110501 | 1 3 17 155 2073 38227 929569 28820619 1109652905 51943281731 2905151042481 191329672483963 | +| 110 | Genocchi:Rev | DiagCol2 | missing | 2 14 138 1918 36154 891342 27891050 1080832286 50833628826 2853207760750 188424521441482 | +| 111 | Genocchi:Rev | DiagCol3 | missing | 8 104 1608 32008 814888 26031912 1023191048 48614323016 2749321197288 182614219356520 | +| 112 | Genocchi:Rev | Poly | missing | 1 1 1 3 2 1 17 8 3 1 155 56 17 4 1 2073 608 171 30 5 1 38227 9440 2745 410 47 6 1 929569 198272 | +| 113 | Genocchi:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 114 | Genocchi:Rev | PolyRow2 | A033816 | 3 8 17 30 47 68 93 122 155 192 233 278 327 380 437 498 563 632 705 782 863 948 1037 1130 1227 1328 | +| 115 | Genocchi:Rev | PolyRow3 | missing | 17 56 171 410 821 1452 2351 3566 5145 7136 9587 12546 16061 20180 24951 30422 36641 43656 51515 | +| 116 | Genocchi:Rev | PolyCol2 | missing | 1 3 17 171 2745 64771 2119329 92108379 5143290377 359335100979 30736977912561 3161546060955787 | +| 117 | Genocchi:Rev | PolyCol3 | missing | 1 4 30 410 9206 310674 14765830 941959042 77740110774 8063809789778 1027140312900326 | +| 118 | Genocchi:Rev | PolyDiag | missing | 1 2 17 410 23975 2886388 624621997 220217368214 117861044130659 90851560946785640 | \ No newline at end of file diff --git a/data/md/Harmonic.md b/data/md/Harmonic.md index 0444f0a..ad86563 100644 --- a/data/md/Harmonic.md +++ b/data/md/Harmonic.md @@ -41,120 +41,161 @@ | 38 | Harmonic:Std | PolyCol2 | B052582 | 1 2 8 36 192 1200 8640 70560 645120 6531840 72576000 878169600 11496038400 161902540800 | | 39 | Harmonic:Std | PolyCol3 | missing | 1 3 15 81 504 3600 29160 264600 2661120 29393280 353808000 4610390400 64665216000 971415244800 | | 40 | Harmonic:Std | PolyDiag | missing | 1 1 8 81 1088 18750 398304 10084200 296478720 9923906160 372464064000 15487179523200 | -| 41 | Harmonic:Rev | Triangle | missing | 1 1 0 1 2 0 1 4 6 0 1 7 18 24 0 1 11 46 96 120 0 1 16 101 326 600 720 0 1 22 197 932 2556 4320 5040 | -| 42 | Harmonic:Rev | InvRev | B227341 | 1 0 1 0 -2 1 0 2 -4 1 0 -2 10 -7 1 0 2 -22 31 -11 1 0 -2 46 -115 75 -16 1 0 2 -94 391 -415 155 -22 | -| 43 | Harmonic:Rev | Acc | missing | 1 1 1 1 3 3 1 5 11 11 1 8 26 50 50 1 12 58 154 274 274 1 17 118 444 1044 1764 1764 1 23 220 1152 | -| 44 | Harmonic:Rev | AccRev | missing | 1 0 1 0 2 3 0 6 10 11 0 24 42 49 50 0 120 216 262 273 274 0 720 1320 1646 1747 1763 1764 0 5040 | -| 45 | Harmonic:Rev | AntiDiag | missing | 1 1 1 0 1 2 1 4 0 1 7 6 1 11 18 0 1 16 46 24 1 22 101 96 0 1 29 197 326 120 1 37 351 932 600 0 1 46 | -| 46 | Harmonic:Rev | Diffx1 | missing | 1 1 0 1 4 0 1 8 18 0 1 14 54 96 0 1 22 138 384 600 0 1 32 303 1304 3000 4320 0 1 44 591 3728 12780 | -| 47 | Harmonic:Rev | RowSum | B000254 | 1 1 3 11 50 274 1764 13068 109584 1026576 10628640 120543840 1486442880 19802759040 283465647360 | -| 48 | Harmonic:Rev | EvenSum | missing | 1 1 1 7 19 167 702 7794 44712 604008 4407120 70251120 623471040 11458134720 119938250880 | -| 49 | Harmonic:Rev | OddSum | missing | 0 0 2 4 31 107 1062 5274 64872 422568 6221520 50292720 862971840 8344624320 163527396480 | -| 50 | Harmonic:Rev | AltSum | A001710 | 1 1 -1 3 -12 60 -360 2520 -20160 181440 -1814400 19958400 -239500800 3113510400 -43589145600 | -| 51 | Harmonic:Rev | DiagSum | missing | 1 1 1 3 5 14 30 87 220 673 1921 6217 19492 66630 225369 811110 2923139 11036327 42000207 165749078 | -| 52 | Harmonic:Rev | AccSum | missing | 1 2 7 28 135 773 5152 39268 337292 3225852 34010856 392005656 4904445312 66202235136 959088092544 | -| 53 | Harmonic:Rev | AccRevSum | missing | 1 1 5 27 165 1145 8960 78344 758548 8066484 93532824 1175064264 15905755008 230839150464 | -| 54 | Harmonic:Rev | RowLcm | missing | 1 1 2 12 504 121440 59266800 1084064113440 103321840810930560 6456945582111373908894720 | -| 55 | Harmonic:Rev | RowGcd | B054977 | 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 56 | Harmonic:Rev | RowMax | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 57 | Harmonic:Rev | ColMiddle | missing | 1 1 2 4 18 46 326 932 9080 27568 342964 1079354 16369178 52724894 944218666 3090075848 63850536496 | -| 58 | Harmonic:Rev | CentralE | missing | 1 2 18 326 9080 342964 16369178 944218666 63850536496 4951400140040 433031885253418 | -| 59 | Harmonic:Rev | CentralO | missing | 1 4 46 932 27568 1079354 52724894 3090075848 211361047584 16530707226038 1455228480277878 | -| 60 | Harmonic:Rev | BinConv | missing | 1 1 5 31 233 2076 21452 252372 3329349 48644302 779147639 13565379433 254899449136 5138081438816 | -| 61 | Harmonic:Rev | InvBinConv | missing | 1 -1 -3 -7 -15 -46 -420 -5384 -62811 -656620 -6213537 -52114085 -354833336 -1339350000 8402462848 | -| 62 | Harmonic:Rev | TransNat0 | missing | 0 0 2 16 115 871 7196 65276 648964 7039908 82904184 1054520424 14419312128 211036391424 | -| 63 | Harmonic:Rev | TransNat1 | missing | 1 1 5 27 165 1145 8960 78344 758548 8066484 93532824 1175064264 15905755008 230839150464 | -| 64 | Harmonic:Rev | TransSqrs | missing | 0 0 2 28 295 2979 30954 339534 3968572 49557724 660928048 9397458608 142124867664 2280500315664 | -| 65 | Harmonic:Rev | PosHalf | B052582 | 1 2 8 36 192 1200 8640 70560 645120 6531840 72576000 878169600 11496038400 161902540800 | -| 66 | Harmonic:Rev | NegHalf | missing | 1 -2 0 -4 -16 -80 -480 -3360 -26880 -241920 -2419200 -26611200 -319334400 -4151347200 -58118860800 | -| 67 | Harmonic:Rev | DiagRow1 | B000142 | 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000 | -| 68 | Harmonic:Rev | DiagRow2 | B001563 | 1 4 18 96 600 4320 35280 322560 3265920 36288000 439084800 5748019200 80951270400 1220496076800 | -| 69 | Harmonic:Rev | DiagRow3 | B067318 | 1 7 46 326 2556 22212 212976 2239344 25659360 318540960 4261576320 61148511360 937030429440 | -| 70 | Harmonic:Rev | DiagCol1 | A254835 | 0 2 4 7 11 16 22 29 37 46 56 67 79 92 106 121 137 154 172 191 211 232 254 277 301 326 352 379 407 | -| 71 | Harmonic:Rev | DiagCol2 | B308305 | 0 6 18 46 101 197 351 583 916 1376 1992 2796 3823 5111 6701 8637 10966 13738 17006 20826 25257 | -| 72 | Harmonic:Rev | DiagCol3 | missing | 0 24 96 326 932 2311 5119 10366 19526 34662 58566 94914 148436 225101 332317 479146 676534 937556 | -| 73 | Harmonic:Rev | Poly | missing | 1 1 1 1 1 1 1 3 1 1 1 11 5 1 1 1 50 33 7 1 1 1 274 279 67 9 1 1 1 1764 2895 832 113 11 1 1 1 13068 | -| 74 | Harmonic:Rev | PolyRow2 | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | -| 75 | Harmonic:Rev | PolyRow3 | A080859 | 1 11 33 67 113 171 241 323 417 523 641 771 913 1067 1233 1411 1601 1803 2017 2243 2481 2731 2993 | -| 76 | Harmonic:Rev | PolyCol2 | A129890 | 1 1 5 33 279 2895 35685 509985 8294895 151335135 3061162125 68000295825 1645756410375 | -| 77 | Harmonic:Rev | PolyCol3 | missing | 1 1 7 67 832 12760 233320 4957960 120097600 3266979520 98617993600 3271434812800 118299925004800 | -| 78 | Harmonic:Rev | PolyDiag | missing | 1 1 5 67 1853 88206 6450469 672023640 94571849385 17282558344240 3978887127248061 | -| 79 | Harmonic:Inv | Triangle | B227341 | 1 0 1 0 -2 1 0 2 -4 1 0 -2 10 -7 1 0 2 -22 31 -11 1 0 -2 46 -115 75 -16 1 0 2 -94 391 -415 155 -22 | -| 80 | Harmonic:Inv | Rev | missing | 1 1 0 1 -2 0 1 -4 2 0 1 -7 10 -2 0 1 -11 31 -22 2 0 1 -16 75 -115 46 -2 0 1 -22 155 -415 391 -94 2 | -| 81 | Harmonic:Inv | RevInv | missing | 1 1 0 1 2 0 1 4 6 0 1 7 18 24 0 1 11 46 96 120 0 1 16 101 326 600 720 0 1 22 197 932 2556 4320 5040 | -| 82 | Harmonic:Inv | Acc | missing | 1 0 1 0 -2 -1 0 2 -2 -1 0 -2 8 1 2 0 2 -20 11 0 1 0 -2 44 -71 4 -12 -11 0 2 -92 299 -116 39 17 18 0 | -| 83 | Harmonic:Inv | AccRev | missing | 1 1 1 1 -1 -1 1 -3 -1 -1 1 -6 4 2 2 1 -10 21 -1 1 1 1 -15 60 -55 -9 -11 -11 1 -21 134 -281 110 16 | -| 84 | Harmonic:Inv | AntiDiag | missing | 1 0 0 1 0 -2 0 2 1 0 -2 -4 0 2 10 1 0 -2 -22 -7 0 2 46 31 1 0 -2 -94 -115 -11 0 2 190 391 75 1 0 -2 | -| 85 | Harmonic:Inv | Diffx1 | missing | 1 0 2 0 -4 3 0 4 -12 4 0 -4 30 -28 5 0 4 -66 124 -55 6 0 -4 138 -460 375 -96 7 0 4 -282 1564 -2075 | -| 86 | Harmonic:Inv | RowSum | B101851 | 1 1 -1 -1 2 1 -11 18 41 -317 680 1767 -19911 68264 59643 -2076973 11905466 -18577387 -269836343 | -| 87 | Harmonic:Inv | EvenSum | missing | 1 0 1 -4 11 -33 122 -531 2529 -12802 68901 -396389 2436128 -15894885 109301701 -787967420 | -| 88 | Harmonic:Inv | OddSum | missing | 0 1 -2 3 -9 34 -133 549 -2488 12485 -68221 398156 -2456039 15963149 -109242058 785890447 | -| 89 | Harmonic:Inv | AltSum | B011968 | 1 -1 3 -7 20 -67 255 -1080 5017 -25287 137122 -794545 4892167 -31858034 218543759 -1573857867 | -| 90 | Harmonic:Inv | DiagSum | B363071 | 1 0 1 -2 3 -6 13 -31 80 -222 659 -2082 6966 -24574 91067 -353443 1432909 -6054025 26599192 | -| 91 | Harmonic:Inv | AccSum | missing | 1 1 -3 -1 9 -6 -48 167 11 -2173 8567 -474 -170668 947075 -1241971 -19249129 171910069 -585651922 | -| 92 | Harmonic:Inv | AccRevSum | missing | 1 2 -1 -4 3 13 -40 -5 399 -1314 -407 23445 -108086 76885 2196259 -16059412 42388319 232681569 | -| 93 | Harmonic:Inv | RowLcm | missing | 1 1 2 4 70 682 27600 5201242310 1425701518570 113987086706132640 154582298323624935907500 | -| 94 | Harmonic:Inv | RowGcd | B054977 | 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 95 | Harmonic:Inv | RowMax | missing | 1 1 2 4 10 31 115 415 2051 9471 49476 289255 1626130 10644964 72757685 484129646 3690623937 | -| 96 | Harmonic:Inv | ColMiddle | missing | 1 0 -2 2 10 -22 -115 391 2051 -9471 -49476 289255 1503139 -10644964 -55044704 458070613 2358391893 | -| 97 | Harmonic:Inv | CentralE | missing | 1 -2 10 -115 2051 -49476 1503139 -55044704 2358391893 -115704218058 6394881998440 -393109352559287 | -| 98 | Harmonic:Inv | CentralO | missing | 0 2 -22 391 -9471 289255 -10644964 458070613 -22557759081 1250790022560 -77104717255930 | -| 99 | Harmonic:Inv | BinConv | missing | 1 1 -3 -5 25 46 -592 302 19087 -91010 -499151 8009904 -17274237 -480679224 5143792457 2212589415 | -| 100 | Harmonic:Inv | InvBinConv | missing | 1 1 5 19 97 596 4224 33608 294767 2813068 28924993 317990212 3714589091 45872167706 596310326993 | -| 101 | Harmonic:Inv | TransNat0 | missing | 0 1 0 -3 1 12 -29 -23 358 -997 -1087 21678 -88175 8621 2136616 -13982439 30482853 251258956 | -| 102 | Harmonic:Inv | TransNat1 | missing | 1 2 -1 -4 3 13 -40 -5 399 -1314 -407 23445 -108086 76885 2196259 -16059412 42388319 232681569 | -| 103 | Harmonic:Inv | TransSqrs | missing | 0 1 2 -5 -9 42 -17 -363 1396 -227 -22085 111620 -116707 -2059731 16178698 -46542265 -208870637 | -| 104 | Harmonic:Inv | PosHalf | missing | 1 1 -3 1 11 -41 21 633 -4253 10575 70285 -1060271 6587995 -7206553 -353104795 4799644809 | -| 105 | Harmonic:Inv | NegHalf | missing | 1 1 5 17 71 355 2053 13377 96503 761251 6503333 59703825 585296775 6094959299 67119902949 | -| 106 | Harmonic:Inv | DiagRow1 | A254835 | 0 -2 -4 -7 -11 -16 -22 -29 -37 -46 -56 -67 -79 -92 -106 -121 -137 -154 -172 -191 -211 -232 -254 | -| 107 | Harmonic:Inv | DiagRow2 | B090809 | 0 2 10 31 75 155 287 490 786 1200 1760 2497 3445 4641 6125 7940 10132 12750 15846 19475 23695 28567 | -| 108 | Harmonic:Inv | DiagRow3 | missing | 0 -2 -22 -115 -415 -1190 -2912 -6342 -12630 -23430 -41030 -68497 -109837 -170170 -255920 -375020 | -| 109 | Harmonic:Inv | DiagCol1 | A036452 | 1 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 | -| 110 | Harmonic:Inv | DiagCol2 | A033484 | 1 -4 10 -22 46 -94 190 -382 766 -1534 3070 -6142 12286 -24574 49150 -98302 196606 -393214 786430 | -| 111 | Harmonic:Inv | DiagCol3 | B091344 | 1 -7 31 -115 391 -1267 3991 -12355 37831 -115027 348151 -1050595 3164071 -9516787 28599511 | -| 112 | Harmonic:Inv | Poly | missing | 1 0 1 0 1 1 0 -1 2 1 0 -1 0 3 1 0 2 -4 3 4 1 0 1 -4 -3 8 5 1 0 -11 20 -24 8 15 6 1 0 18 12 -3 -40 | -| 113 | Harmonic:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 114 | Harmonic:Inv | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | -| 115 | Harmonic:Inv | PolyRow3 | missing | 0 -1 -4 -3 8 35 84 161 272 423 620 869 1176 1547 1988 2505 3104 3791 4572 5453 6440 7539 8756 10097 | -| 116 | Harmonic:Inv | PolyCol2 | missing | 1 2 0 -4 -4 20 12 -204 268 2292 -11828 -4300 300940 -1285772 -2689204 59952564 -264710900 | -| 117 | Harmonic:Inv | PolyCol3 | missing | 1 3 3 -3 -24 -3 219 -84 -3183 7125 52950 -334857 -419685 12959106 -42123345 -341865687 3882755064 | -| 118 | Harmonic:Inv | PolyDiag | missing | 1 1 0 -3 -40 -415 -3756 -26544 -34448 3980763 111871580 2100756647 28045662600 108169803716 | -| 119 | Harmonic:Inv:Rev | Triangle | missing | 1 1 0 1 -2 0 1 -4 2 0 1 -7 10 -2 0 1 -11 31 -22 2 0 1 -16 75 -115 46 -2 0 1 -22 155 -415 391 -94 2 | -| 120 | Harmonic:Inv:Rev | Rev | B227341 | 1 0 1 0 -2 1 0 2 -4 1 0 -2 10 -7 1 0 2 -22 31 -11 1 0 -2 46 -115 75 -16 1 0 2 -94 391 -415 155 -22 | -| 121 | Harmonic:Inv:Rev | InvRev | A358694 | 1 0 1 0 2 1 0 6 4 1 0 24 18 7 1 0 120 96 46 11 1 0 720 600 326 101 16 1 0 5040 4320 2556 932 197 22 | -| 122 | Harmonic:Inv:Rev | Acc | missing | 1 1 1 1 -1 -1 1 -3 -1 -1 1 -6 4 2 2 1 -10 21 -1 1 1 1 -15 60 -55 -9 -11 -11 1 -21 134 -281 110 16 | -| 123 | Harmonic:Inv:Rev | AccRev | missing | 1 0 1 0 -2 -1 0 2 -2 -1 0 -2 8 1 2 0 2 -20 11 0 1 0 -2 44 -71 4 -12 -11 0 2 -92 299 -116 39 17 18 0 | -| 124 | Harmonic:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -2 1 -4 0 1 -7 2 1 -11 10 0 1 -16 31 -2 1 -22 75 -22 0 1 -29 155 -115 2 1 -37 287 -415 46 | -| 125 | Harmonic:Inv:Rev | Diffx1 | missing | 1 1 0 1 -4 0 1 -8 6 0 1 -14 30 -8 0 1 -22 93 -88 10 0 1 -32 225 -460 230 -12 0 1 -44 465 -1660 1955 | -| 126 | Harmonic:Inv:Rev | RowSum | B101851 | 1 1 -1 -1 2 1 -11 18 41 -317 680 1767 -19911 68264 59643 -2076973 11905466 -18577387 -269836343 | -| 127 | Harmonic:Inv:Rev | EvenSum | missing | 1 1 1 3 11 34 122 549 2529 12485 68901 398156 2436128 15963149 109301701 785890447 5937503079 | -| 128 | Harmonic:Inv:Rev | OddSum | missing | 0 0 -2 -4 -9 -33 -133 -531 -2488 -12802 -68221 -396389 -2456039 -15894885 -109242058 -787967420 | -| 129 | Harmonic:Inv:Rev | AltSum | B011968 | 1 1 3 7 20 67 255 1080 5017 25287 137122 794545 4892167 31858034 218543759 1573857867 11863100692 | -| 130 | Harmonic:Inv:Rev | DiagSum | missing | 1 1 1 -1 -3 -4 0 14 32 14 -118 -356 -224 1528 5244 3356 -27604 -96680 -46360 643048 2124912 288744 | -| 131 | Harmonic:Inv:Rev | AccSum | missing | 1 2 -1 -4 3 13 -40 -5 399 -1314 -407 23445 -108086 76885 2196259 -16059412 42388319 232681569 | -| 132 | Harmonic:Inv:Rev | AccRevSum | missing | 1 1 -3 -1 9 -6 -48 167 11 -2173 8567 -474 -170668 947075 -1241971 -19249129 171910069 -585651922 | -| 133 | Harmonic:Inv:Rev | RowLcm | missing | 1 1 2 4 70 682 27600 5201242310 1425701518570 113987086706132640 154582298323624935907500 | -| 134 | Harmonic:Inv:Rev | RowGcd | B054977 | 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 135 | Harmonic:Inv:Rev | RowMax | missing | 1 1 2 4 10 31 115 415 2051 9471 49476 289255 1626130 10644964 72757685 484129646 3690623937 | -| 136 | Harmonic:Inv:Rev | ColMiddle | missing | 1 1 -2 -4 10 31 -115 -415 2051 8001 -49476 -202314 1503139 6342820 -55044704 -237540160 2358391893 | -| 137 | Harmonic:Inv:Rev | CentralE | missing | 1 -2 10 -115 2051 -49476 1503139 -55044704 2358391893 -115704218058 6394881998440 -393109352559287 | -| 138 | Harmonic:Inv:Rev | CentralO | missing | 1 -4 31 -415 8001 -202314 6342820 -237540160 10349606553 -514409197588 28727694118487 | -| 139 | Harmonic:Inv:Rev | BinConv | missing | 1 1 -3 -5 25 46 -592 302 19087 -91010 -499151 8009904 -17274237 -480679224 5143792457 2212589415 | -| 140 | Harmonic:Inv:Rev | InvBinConv | missing | 1 -1 5 -19 97 -596 4224 -33608 294767 -2813068 28924993 -317990212 3714589091 -45872167706 | -| 141 | Harmonic:Inv:Rev | TransNat0 | missing | 0 0 -2 0 7 -7 -37 149 -30 -1856 7887 -2241 -150757 878811 -1301614 -17172156 160004603 -567074535 | -| 142 | Harmonic:Inv:Rev | TransNat1 | missing | 1 1 -3 -1 9 -6 -48 167 11 -2173 8567 -474 -170668 947075 -1241971 -19249129 171910069 -585651922 | -| 143 | Harmonic:Inv:Rev | TransSqrs | missing | 0 0 -2 4 15 -53 -65 841 -1708 -7958 67655 -151489 -867691 9252739 -31956522 -94388020 1863477363 | -| 144 | Harmonic:Inv:Rev | PosHalf | missing | 1 2 0 -4 -4 20 12 -204 268 2292 -11828 -4300 300940 -1285772 -2689204 59952564 -264710900 | -| 145 | Harmonic:Inv:Rev | NegHalf | missing | 1 -2 8 -28 116 -548 2884 -16644 104132 -700100 5022980 -38240772 307474500 -2600627524 23059485060 | -| 146 | Harmonic:Inv:Rev | DiagRow1 | A036452 | 1 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 | -| 147 | Harmonic:Inv:Rev | DiagRow2 | A033484 | 1 -4 10 -22 46 -94 190 -382 766 -1534 3070 -6142 12286 -24574 49150 -98302 196606 -393214 786430 | -| 148 | Harmonic:Inv:Rev | DiagRow3 | B091344 | 1 -7 31 -115 391 -1267 3991 -12355 37831 -115027 348151 -1050595 3164071 -9516787 28599511 | -| 149 | Harmonic:Inv:Rev | DiagCol1 | A254835 | 0 -2 -4 -7 -11 -16 -22 -29 -37 -46 -56 -67 -79 -92 -106 -121 -137 -154 -172 -191 -211 -232 -254 | -| 150 | Harmonic:Inv:Rev | DiagCol2 | B090809 | 0 2 10 31 75 155 287 490 786 1200 1760 2497 3445 4641 6125 7940 10132 12750 15846 19475 23695 28567 | -| 151 | Harmonic:Inv:Rev | DiagCol3 | missing | 0 -2 -22 -115 -415 -1190 -2912 -6342 -12630 -23430 -41030 -68497 -109837 -170170 -255920 -375020 | -| 152 | Harmonic:Inv:Rev | Poly | A065372 | 1 1 1 1 1 1 1 -1 1 1 1 -1 -3 1 1 1 2 1 -5 1 1 1 1 11 7 -7 1 1 1 -11 -41 16 17 -9 1 1 1 18 21 -185 5 | -| 153 | Harmonic:Inv:Rev | PolyRow2 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | -| 154 | Harmonic:Inv:Rev | PolyRow3 | A056220 | 1 -1 1 7 17 31 49 71 97 127 161 199 241 287 337 391 449 511 577 647 721 799 881 967 1057 1151 1249 | -| 155 | Harmonic:Inv:Rev | PolyCol2 | missing | 1 1 -3 1 11 -41 21 633 -4253 10575 70285 -1060271 6587995 -7206553 -353104795 4799644809 | -| 156 | Harmonic:Inv:Rev | PolyCol3 | missing | 1 1 -5 7 16 -185 763 412 -37247 359431 -1630802 -8175875 269835955 -3226480706 19332564439 | -| 157 | Harmonic:Inv:Rev | PolyDiag | missing | 1 1 -3 7 5 -779 21829 -540672 11905753 -128861693 -11774133859 1520185039957 -133257057306275 | \ No newline at end of file +| 41 | Harmonic:Alt | Triangle | A358694 | 1 0 -1 0 -2 1 0 -6 4 -1 0 -24 18 -7 1 0 -120 96 -46 11 -1 0 -720 600 -326 101 -16 1 0 -5040 4320 | +| 42 | Harmonic:Alt | Rev | missing | 1 -1 0 1 -2 0 -1 4 -6 0 1 -7 18 -24 0 -1 11 -46 96 -120 0 1 -16 101 -326 600 -720 0 -1 22 -197 932 | +| 43 | Harmonic:Alt | Inv | missing | 1 0 1 0 2 1 0 -2 -4 1 0 -26 -46 7 1 0 122 226 -31 -11 1 0 3446 6358 -877 -277 16 1 0 -36258 -67026 | +| 44 | Harmonic:Alt | RevInv | missing | 1 1 0 1 2 0 1 -4 -2 0 1 7 -46 -26 0 1 -11 -31 226 122 0 1 16 -277 -877 6358 3446 0 1 -22 -155 2995 | +| 45 | Harmonic:Alt | Acc | missing | 1 0 -1 0 -2 -1 0 -6 -2 -3 0 -24 -6 -13 -12 0 -120 -24 -70 -59 -60 0 -720 -120 -446 -345 -361 -360 0 | +| 46 | Harmonic:Alt | AccRev | missing | 1 -1 -1 1 -1 -1 -1 3 -3 -3 1 -6 12 -12 -12 -1 10 -36 60 -60 -60 1 -15 86 -240 360 -360 -360 -1 21 | +| 47 | Harmonic:Alt | AntiDiag | missing | 1 0 0 -1 0 -2 0 -6 1 0 -24 4 0 -120 18 -1 0 -720 96 -7 0 -5040 600 -46 1 0 -40320 4320 -326 11 0 | +| 48 | Harmonic:Alt | Diffx1 | missing | 1 0 -2 0 -4 3 0 -12 12 -4 0 -48 54 -28 5 0 -240 288 -184 55 -6 0 -1440 1800 -1304 505 -96 7 0 | +| 49 | Harmonic:Alt | RowSum | A001710 | 1 -1 -1 -3 -12 -60 -360 -2520 -20160 -181440 -1814400 -19958400 -239500800 -3113510400 -43589145600 | +| 50 | Harmonic:Alt | EvenSum | B182541 | 1 0 1 4 19 107 702 5274 44712 422568 4407120 50292720 623471040 8344624320 119938250880 | +| 51 | Harmonic:Alt | OddSum | missing | 0 -1 -2 -7 -31 -167 -1062 -7794 -64872 -604008 -6221520 -70251120 -862971840 -11458134720 | +| 52 | Harmonic:Alt | AltSum | B000254 | 1 1 3 11 50 274 1764 13068 109584 1026576 10628640 120543840 1486442880 19802759040 283465647360 | +| 53 | Harmonic:Alt | DiagSum | missing | 1 0 -1 -2 -5 -20 -103 -631 -4485 -36315 -330056 -3327536 -36854972 -444860381 -5812555934 | +| 54 | Harmonic:Alt | AccSum | missing | 1 -1 -3 -11 -55 -333 -2352 -18960 -171720 -1726200 -19071360 -229703040 -2995574400 -42052348800 | +| 55 | Harmonic:Alt | AccRevSum | missing | 1 -2 -1 -4 -17 -87 -528 -3720 -29880 -269640 -2701440 -29756160 -357436800 -4650307200 -65144217600 | +| 56 | Harmonic:Alt | RowLcm | missing | 1 1 2 12 504 121440 59266800 1084064113440 103321840810930560 6456945582111373908894720 | +| 57 | Harmonic:Alt | RowGcd | B054977 | 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 58 | Harmonic:Alt | RowMax | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 59 | Harmonic:Alt | ColMiddle | missing | 1 0 -2 -6 18 96 -326 -2556 9080 94852 -342964 -4496284 16369178 258795044 -944218666 -17499398776 | +| 60 | Harmonic:Alt | CentralE | missing | 1 -2 18 -326 9080 -342964 16369178 -944218666 63850536496 -4951400140040 433031885253418 | +| 61 | Harmonic:Alt | CentralO | missing | 0 -6 96 -2556 94852 -4496284 258795044 -17499398776 1358262331112 -118948447958696 | +| 62 | Harmonic:Alt | BinConv | missing | 1 -1 -3 -7 -15 -46 -420 -5384 -62811 -656620 -6213537 -52114085 -354833336 -1339350000 8402462848 | +| 63 | Harmonic:Alt | InvBinConv | missing | 1 -1 5 -31 233 -2076 21452 -252372 3329349 -48644302 779147639 -13565379433 254899449136 | +| 64 | Harmonic:Alt | TransNat0 | B138772 | 0 -1 0 -1 -5 -27 -168 -1200 -9720 -88200 -887040 -9797760 -117936000 -1536796800 -21555072000 | +| 65 | Harmonic:Alt | TransNat1 | missing | 1 -2 -1 -4 -17 -87 -528 -3720 -29880 -269640 -2701440 -29756160 -357436800 -4650307200 -65144217600 | +| 66 | Harmonic:Alt | TransSqrs | A323618 | 0 -1 2 1 1 1 -2 -34 -324 -2988 -28944 -300816 -3371040 -40710240 -528439680 -7348717440 | +| 67 | Harmonic:Alt | PosHalf | A192459 | 1 -1 -3 -17 -133 -1315 -15675 -218505 -3485685 -62607195 -1250116875 -27468111825 -658579954725 | +| 68 | Harmonic:Alt | NegHalf | A129890 | 1 -1 5 -33 279 -2895 35685 -509985 8294895 -151335135 3061162125 -68000295825 1645756410375 | +| 69 | Harmonic:Alt | DiagRow1 | A254835 | 0 -2 4 -7 11 -16 22 -29 37 -46 56 -67 79 -92 106 -121 137 -154 172 -191 211 -232 254 -277 301 -326 | +| 70 | Harmonic:Alt | DiagRow2 | B308305 | 0 -6 18 -46 101 -197 351 -583 916 -1376 1992 -2796 3823 -5111 6701 -8637 10966 -13738 17006 -20826 | +| 71 | Harmonic:Alt | DiagRow3 | missing | 0 -24 96 -326 932 -2311 5119 -10366 19526 -34662 58566 -94914 148436 -225101 332317 -479146 676534 | +| 72 | Harmonic:Alt | DiagCol1 | B000142 | -1 -2 -6 -24 -120 -720 -5040 -40320 -362880 -3628800 -39916800 -479001600 -6227020800 -87178291200 | +| 73 | Harmonic:Alt | DiagCol2 | B001563 | 1 4 18 96 600 4320 35280 322560 3265920 36288000 439084800 5748019200 80951270400 1220496076800 | +| 74 | Harmonic:Alt | DiagCol3 | B067318 | -1 -7 -46 -326 -2556 -22212 -212976 -2239344 -25659360 -318540960 -4261576320 -61148511360 | +| 75 | Harmonic:Alt | Poly | missing | 1 0 1 0 -1 1 0 -1 -2 1 0 -3 0 -3 1 0 -12 -4 3 -4 1 0 -60 -16 -9 8 -5 1 0 -360 -80 -18 -24 15 -6 1 0 | +| 76 | Harmonic:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 77 | Harmonic:Alt | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 78 | Harmonic:Alt | PolyRow3 | missing | 0 -3 -4 -9 -24 -55 -108 -189 -304 -459 -660 -913 -1224 -1599 -2044 -2565 -3168 -3859 -4644 -5529 | +| 79 | Harmonic:Alt | PolyCol2 | missing | 1 -2 0 -4 -16 -80 -480 -3360 -26880 -241920 -2419200 -26611200 -319334400 -4151347200 -58118860800 | +| 80 | Harmonic:Alt | PolyCol3 | missing | 1 -3 3 -9 -18 -90 -540 -3780 -30240 -272160 -2721600 -29937600 -359251200 -4670265600 -65383718400 | +| 81 | Harmonic:Alt | PolyDiag | missing | 1 -1 0 -9 0 -200 0 -8820 0 -653184 0 -73180800 0 -11564467200 0 -2451889440000 0 -671854030848000 0 | +| 82 | Harmonic:Rev | Triangle | missing | 1 1 0 1 2 0 1 4 6 0 1 7 18 24 0 1 11 46 96 120 0 1 16 101 326 600 720 0 1 22 197 932 2556 4320 5040 | +| 83 | Harmonic:Rev | InvRev | B227341 | 1 0 1 0 -2 1 0 2 -4 1 0 -2 10 -7 1 0 2 -22 31 -11 1 0 -2 46 -115 75 -16 1 0 2 -94 391 -415 155 -22 | +| 84 | Harmonic:Rev | Acc | missing | 1 1 1 1 3 3 1 5 11 11 1 8 26 50 50 1 12 58 154 274 274 1 17 118 444 1044 1764 1764 1 23 220 1152 | +| 85 | Harmonic:Rev | AccRev | missing | 1 0 1 0 2 3 0 6 10 11 0 24 42 49 50 0 120 216 262 273 274 0 720 1320 1646 1747 1763 1764 0 5040 | +| 86 | Harmonic:Rev | AntiDiag | missing | 1 1 1 0 1 2 1 4 0 1 7 6 1 11 18 0 1 16 46 24 1 22 101 96 0 1 29 197 326 120 1 37 351 932 600 0 1 46 | +| 87 | Harmonic:Rev | Diffx1 | missing | 1 1 0 1 4 0 1 8 18 0 1 14 54 96 0 1 22 138 384 600 0 1 32 303 1304 3000 4320 0 1 44 591 3728 12780 | +| 88 | Harmonic:Rev | RowSum | B000254 | 1 1 3 11 50 274 1764 13068 109584 1026576 10628640 120543840 1486442880 19802759040 283465647360 | +| 89 | Harmonic:Rev | EvenSum | missing | 1 1 1 7 19 167 702 7794 44712 604008 4407120 70251120 623471040 11458134720 119938250880 | +| 90 | Harmonic:Rev | OddSum | missing | 0 0 2 4 31 107 1062 5274 64872 422568 6221520 50292720 862971840 8344624320 163527396480 | +| 91 | Harmonic:Rev | AltSum | A001710 | 1 1 -1 3 -12 60 -360 2520 -20160 181440 -1814400 19958400 -239500800 3113510400 -43589145600 | +| 92 | Harmonic:Rev | DiagSum | missing | 1 1 1 3 5 14 30 87 220 673 1921 6217 19492 66630 225369 811110 2923139 11036327 42000207 165749078 | +| 93 | Harmonic:Rev | AccSum | missing | 1 2 7 28 135 773 5152 39268 337292 3225852 34010856 392005656 4904445312 66202235136 959088092544 | +| 94 | Harmonic:Rev | AccRevSum | missing | 1 1 5 27 165 1145 8960 78344 758548 8066484 93532824 1175064264 15905755008 230839150464 | +| 95 | Harmonic:Rev | RowLcm | missing | 1 1 2 12 504 121440 59266800 1084064113440 103321840810930560 6456945582111373908894720 | +| 96 | Harmonic:Rev | RowGcd | B054977 | 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 97 | Harmonic:Rev | RowMax | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 98 | Harmonic:Rev | ColMiddle | missing | 1 1 2 4 18 46 326 932 9080 27568 342964 1079354 16369178 52724894 944218666 3090075848 63850536496 | +| 99 | Harmonic:Rev | CentralE | missing | 1 2 18 326 9080 342964 16369178 944218666 63850536496 4951400140040 433031885253418 | +| 100 | Harmonic:Rev | CentralO | missing | 1 4 46 932 27568 1079354 52724894 3090075848 211361047584 16530707226038 1455228480277878 | +| 101 | Harmonic:Rev | BinConv | missing | 1 1 5 31 233 2076 21452 252372 3329349 48644302 779147639 13565379433 254899449136 5138081438816 | +| 102 | Harmonic:Rev | InvBinConv | missing | 1 -1 -3 -7 -15 -46 -420 -5384 -62811 -656620 -6213537 -52114085 -354833336 -1339350000 8402462848 | +| 103 | Harmonic:Rev | TransNat0 | missing | 0 0 2 16 115 871 7196 65276 648964 7039908 82904184 1054520424 14419312128 211036391424 | +| 104 | Harmonic:Rev | TransNat1 | missing | 1 1 5 27 165 1145 8960 78344 758548 8066484 93532824 1175064264 15905755008 230839150464 | +| 105 | Harmonic:Rev | TransSqrs | missing | 0 0 2 28 295 2979 30954 339534 3968572 49557724 660928048 9397458608 142124867664 2280500315664 | +| 106 | Harmonic:Rev | PosHalf | B052582 | 1 2 8 36 192 1200 8640 70560 645120 6531840 72576000 878169600 11496038400 161902540800 | +| 107 | Harmonic:Rev | NegHalf | missing | 1 -2 0 -4 -16 -80 -480 -3360 -26880 -241920 -2419200 -26611200 -319334400 -4151347200 -58118860800 | +| 108 | Harmonic:Rev | DiagRow1 | B000142 | 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000 | +| 109 | Harmonic:Rev | DiagRow2 | B001563 | 1 4 18 96 600 4320 35280 322560 3265920 36288000 439084800 5748019200 80951270400 1220496076800 | +| 110 | Harmonic:Rev | DiagRow3 | B067318 | 1 7 46 326 2556 22212 212976 2239344 25659360 318540960 4261576320 61148511360 937030429440 | +| 111 | Harmonic:Rev | DiagCol1 | A254835 | 0 2 4 7 11 16 22 29 37 46 56 67 79 92 106 121 137 154 172 191 211 232 254 277 301 326 352 379 407 | +| 112 | Harmonic:Rev | DiagCol2 | B308305 | 0 6 18 46 101 197 351 583 916 1376 1992 2796 3823 5111 6701 8637 10966 13738 17006 20826 25257 | +| 113 | Harmonic:Rev | DiagCol3 | missing | 0 24 96 326 932 2311 5119 10366 19526 34662 58566 94914 148436 225101 332317 479146 676534 937556 | +| 114 | Harmonic:Rev | Poly | missing | 1 1 1 1 1 1 1 3 1 1 1 11 5 1 1 1 50 33 7 1 1 1 274 279 67 9 1 1 1 1764 2895 832 113 11 1 1 1 13068 | +| 115 | Harmonic:Rev | PolyRow2 | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | +| 116 | Harmonic:Rev | PolyRow3 | A080859 | 1 11 33 67 113 171 241 323 417 523 641 771 913 1067 1233 1411 1601 1803 2017 2243 2481 2731 2993 | +| 117 | Harmonic:Rev | PolyCol2 | A129890 | 1 1 5 33 279 2895 35685 509985 8294895 151335135 3061162125 68000295825 1645756410375 | +| 118 | Harmonic:Rev | PolyCol3 | missing | 1 1 7 67 832 12760 233320 4957960 120097600 3266979520 98617993600 3271434812800 118299925004800 | +| 119 | Harmonic:Rev | PolyDiag | missing | 1 1 5 67 1853 88206 6450469 672023640 94571849385 17282558344240 3978887127248061 | +| 120 | Harmonic:Inv | Triangle | B227341 | 1 0 1 0 -2 1 0 2 -4 1 0 -2 10 -7 1 0 2 -22 31 -11 1 0 -2 46 -115 75 -16 1 0 2 -94 391 -415 155 -22 | +| 121 | Harmonic:Inv | Rev | missing | 1 1 0 1 -2 0 1 -4 2 0 1 -7 10 -2 0 1 -11 31 -22 2 0 1 -16 75 -115 46 -2 0 1 -22 155 -415 391 -94 2 | +| 122 | Harmonic:Inv | RevInv | missing | 1 1 0 1 2 0 1 4 6 0 1 7 18 24 0 1 11 46 96 120 0 1 16 101 326 600 720 0 1 22 197 932 2556 4320 5040 | +| 123 | Harmonic:Inv | Acc | missing | 1 0 1 0 -2 -1 0 2 -2 -1 0 -2 8 1 2 0 2 -20 11 0 1 0 -2 44 -71 4 -12 -11 0 2 -92 299 -116 39 17 18 0 | +| 124 | Harmonic:Inv | AccRev | missing | 1 1 1 1 -1 -1 1 -3 -1 -1 1 -6 4 2 2 1 -10 21 -1 1 1 1 -15 60 -55 -9 -11 -11 1 -21 134 -281 110 16 | +| 125 | Harmonic:Inv | AntiDiag | missing | 1 0 0 1 0 -2 0 2 1 0 -2 -4 0 2 10 1 0 -2 -22 -7 0 2 46 31 1 0 -2 -94 -115 -11 0 2 190 391 75 1 0 -2 | +| 126 | Harmonic:Inv | Diffx1 | missing | 1 0 2 0 -4 3 0 4 -12 4 0 -4 30 -28 5 0 4 -66 124 -55 6 0 -4 138 -460 375 -96 7 0 4 -282 1564 -2075 | +| 127 | Harmonic:Inv | RowSum | B101851 | 1 1 -1 -1 2 1 -11 18 41 -317 680 1767 -19911 68264 59643 -2076973 11905466 -18577387 -269836343 | +| 128 | Harmonic:Inv | EvenSum | missing | 1 0 1 -4 11 -33 122 -531 2529 -12802 68901 -396389 2436128 -15894885 109301701 -787967420 | +| 129 | Harmonic:Inv | OddSum | missing | 0 1 -2 3 -9 34 -133 549 -2488 12485 -68221 398156 -2456039 15963149 -109242058 785890447 | +| 130 | Harmonic:Inv | AltSum | B011968 | 1 -1 3 -7 20 -67 255 -1080 5017 -25287 137122 -794545 4892167 -31858034 218543759 -1573857867 | +| 131 | Harmonic:Inv | DiagSum | B363071 | 1 0 1 -2 3 -6 13 -31 80 -222 659 -2082 6966 -24574 91067 -353443 1432909 -6054025 26599192 | +| 132 | Harmonic:Inv | AccSum | missing | 1 1 -3 -1 9 -6 -48 167 11 -2173 8567 -474 -170668 947075 -1241971 -19249129 171910069 -585651922 | +| 133 | Harmonic:Inv | AccRevSum | missing | 1 2 -1 -4 3 13 -40 -5 399 -1314 -407 23445 -108086 76885 2196259 -16059412 42388319 232681569 | +| 134 | Harmonic:Inv | RowLcm | missing | 1 1 2 4 70 682 27600 5201242310 1425701518570 113987086706132640 154582298323624935907500 | +| 135 | Harmonic:Inv | RowGcd | B054977 | 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 136 | Harmonic:Inv | RowMax | missing | 1 1 2 4 10 31 115 415 2051 9471 49476 289255 1626130 10644964 72757685 484129646 3690623937 | +| 137 | Harmonic:Inv | ColMiddle | missing | 1 0 -2 2 10 -22 -115 391 2051 -9471 -49476 289255 1503139 -10644964 -55044704 458070613 2358391893 | +| 138 | Harmonic:Inv | CentralE | missing | 1 -2 10 -115 2051 -49476 1503139 -55044704 2358391893 -115704218058 6394881998440 -393109352559287 | +| 139 | Harmonic:Inv | CentralO | missing | 0 2 -22 391 -9471 289255 -10644964 458070613 -22557759081 1250790022560 -77104717255930 | +| 140 | Harmonic:Inv | BinConv | missing | 1 1 -3 -5 25 46 -592 302 19087 -91010 -499151 8009904 -17274237 -480679224 5143792457 2212589415 | +| 141 | Harmonic:Inv | InvBinConv | missing | 1 1 5 19 97 596 4224 33608 294767 2813068 28924993 317990212 3714589091 45872167706 596310326993 | +| 142 | Harmonic:Inv | TransNat0 | missing | 0 1 0 -3 1 12 -29 -23 358 -997 -1087 21678 -88175 8621 2136616 -13982439 30482853 251258956 | +| 143 | Harmonic:Inv | TransNat1 | missing | 1 2 -1 -4 3 13 -40 -5 399 -1314 -407 23445 -108086 76885 2196259 -16059412 42388319 232681569 | +| 144 | Harmonic:Inv | TransSqrs | missing | 0 1 2 -5 -9 42 -17 -363 1396 -227 -22085 111620 -116707 -2059731 16178698 -46542265 -208870637 | +| 145 | Harmonic:Inv | PosHalf | missing | 1 1 -3 1 11 -41 21 633 -4253 10575 70285 -1060271 6587995 -7206553 -353104795 4799644809 | +| 146 | Harmonic:Inv | NegHalf | missing | 1 1 5 17 71 355 2053 13377 96503 761251 6503333 59703825 585296775 6094959299 67119902949 | +| 147 | Harmonic:Inv | DiagRow1 | A254835 | 0 -2 -4 -7 -11 -16 -22 -29 -37 -46 -56 -67 -79 -92 -106 -121 -137 -154 -172 -191 -211 -232 -254 | +| 148 | Harmonic:Inv | DiagRow2 | B090809 | 0 2 10 31 75 155 287 490 786 1200 1760 2497 3445 4641 6125 7940 10132 12750 15846 19475 23695 28567 | +| 149 | Harmonic:Inv | DiagRow3 | missing | 0 -2 -22 -115 -415 -1190 -2912 -6342 -12630 -23430 -41030 -68497 -109837 -170170 -255920 -375020 | +| 150 | Harmonic:Inv | DiagCol1 | A036452 | 1 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 | +| 151 | Harmonic:Inv | DiagCol2 | A033484 | 1 -4 10 -22 46 -94 190 -382 766 -1534 3070 -6142 12286 -24574 49150 -98302 196606 -393214 786430 | +| 152 | Harmonic:Inv | DiagCol3 | B091344 | 1 -7 31 -115 391 -1267 3991 -12355 37831 -115027 348151 -1050595 3164071 -9516787 28599511 | +| 153 | Harmonic:Inv | Poly | missing | 1 0 1 0 1 1 0 -1 2 1 0 -1 0 3 1 0 2 -4 3 4 1 0 1 -4 -3 8 5 1 0 -11 20 -24 8 15 6 1 0 18 12 -3 -40 | +| 154 | Harmonic:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 155 | Harmonic:Inv | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 156 | Harmonic:Inv | PolyRow3 | missing | 0 -1 -4 -3 8 35 84 161 272 423 620 869 1176 1547 1988 2505 3104 3791 4572 5453 6440 7539 8756 10097 | +| 157 | Harmonic:Inv | PolyCol2 | missing | 1 2 0 -4 -4 20 12 -204 268 2292 -11828 -4300 300940 -1285772 -2689204 59952564 -264710900 | +| 158 | Harmonic:Inv | PolyCol3 | missing | 1 3 3 -3 -24 -3 219 -84 -3183 7125 52950 -334857 -419685 12959106 -42123345 -341865687 3882755064 | +| 159 | Harmonic:Inv | PolyDiag | missing | 1 1 0 -3 -40 -415 -3756 -26544 -34448 3980763 111871580 2100756647 28045662600 108169803716 | +| 160 | Harmonic:Inv:Rev | Triangle | missing | 1 1 0 1 -2 0 1 -4 2 0 1 -7 10 -2 0 1 -11 31 -22 2 0 1 -16 75 -115 46 -2 0 1 -22 155 -415 391 -94 2 | +| 161 | Harmonic:Inv:Rev | Rev | B227341 | 1 0 1 0 -2 1 0 2 -4 1 0 -2 10 -7 1 0 2 -22 31 -11 1 0 -2 46 -115 75 -16 1 0 2 -94 391 -415 155 -22 | +| 162 | Harmonic:Inv:Rev | InvRev | A358694 | 1 0 1 0 2 1 0 6 4 1 0 24 18 7 1 0 120 96 46 11 1 0 720 600 326 101 16 1 0 5040 4320 2556 932 197 22 | +| 163 | Harmonic:Inv:Rev | Acc | missing | 1 1 1 1 -1 -1 1 -3 -1 -1 1 -6 4 2 2 1 -10 21 -1 1 1 1 -15 60 -55 -9 -11 -11 1 -21 134 -281 110 16 | +| 164 | Harmonic:Inv:Rev | AccRev | missing | 1 0 1 0 -2 -1 0 2 -2 -1 0 -2 8 1 2 0 2 -20 11 0 1 0 -2 44 -71 4 -12 -11 0 2 -92 299 -116 39 17 18 0 | +| 165 | Harmonic:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -2 1 -4 0 1 -7 2 1 -11 10 0 1 -16 31 -2 1 -22 75 -22 0 1 -29 155 -115 2 1 -37 287 -415 46 | +| 166 | Harmonic:Inv:Rev | Diffx1 | missing | 1 1 0 1 -4 0 1 -8 6 0 1 -14 30 -8 0 1 -22 93 -88 10 0 1 -32 225 -460 230 -12 0 1 -44 465 -1660 1955 | +| 167 | Harmonic:Inv:Rev | RowSum | B101851 | 1 1 -1 -1 2 1 -11 18 41 -317 680 1767 -19911 68264 59643 -2076973 11905466 -18577387 -269836343 | +| 168 | Harmonic:Inv:Rev | EvenSum | missing | 1 1 1 3 11 34 122 549 2529 12485 68901 398156 2436128 15963149 109301701 785890447 5937503079 | +| 169 | Harmonic:Inv:Rev | OddSum | missing | 0 0 -2 -4 -9 -33 -133 -531 -2488 -12802 -68221 -396389 -2456039 -15894885 -109242058 -787967420 | +| 170 | Harmonic:Inv:Rev | AltSum | B011968 | 1 1 3 7 20 67 255 1080 5017 25287 137122 794545 4892167 31858034 218543759 1573857867 11863100692 | +| 171 | Harmonic:Inv:Rev | DiagSum | missing | 1 1 1 -1 -3 -4 0 14 32 14 -118 -356 -224 1528 5244 3356 -27604 -96680 -46360 643048 2124912 288744 | +| 172 | Harmonic:Inv:Rev | AccSum | missing | 1 2 -1 -4 3 13 -40 -5 399 -1314 -407 23445 -108086 76885 2196259 -16059412 42388319 232681569 | +| 173 | Harmonic:Inv:Rev | AccRevSum | missing | 1 1 -3 -1 9 -6 -48 167 11 -2173 8567 -474 -170668 947075 -1241971 -19249129 171910069 -585651922 | +| 174 | Harmonic:Inv:Rev | RowLcm | missing | 1 1 2 4 70 682 27600 5201242310 1425701518570 113987086706132640 154582298323624935907500 | +| 175 | Harmonic:Inv:Rev | RowGcd | B054977 | 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 176 | Harmonic:Inv:Rev | RowMax | missing | 1 1 2 4 10 31 115 415 2051 9471 49476 289255 1626130 10644964 72757685 484129646 3690623937 | +| 177 | Harmonic:Inv:Rev | ColMiddle | missing | 1 1 -2 -4 10 31 -115 -415 2051 8001 -49476 -202314 1503139 6342820 -55044704 -237540160 2358391893 | +| 178 | Harmonic:Inv:Rev | CentralE | missing | 1 -2 10 -115 2051 -49476 1503139 -55044704 2358391893 -115704218058 6394881998440 -393109352559287 | +| 179 | Harmonic:Inv:Rev | CentralO | missing | 1 -4 31 -415 8001 -202314 6342820 -237540160 10349606553 -514409197588 28727694118487 | +| 180 | Harmonic:Inv:Rev | BinConv | missing | 1 1 -3 -5 25 46 -592 302 19087 -91010 -499151 8009904 -17274237 -480679224 5143792457 2212589415 | +| 181 | Harmonic:Inv:Rev | InvBinConv | missing | 1 -1 5 -19 97 -596 4224 -33608 294767 -2813068 28924993 -317990212 3714589091 -45872167706 | +| 182 | Harmonic:Inv:Rev | TransNat0 | missing | 0 0 -2 0 7 -7 -37 149 -30 -1856 7887 -2241 -150757 878811 -1301614 -17172156 160004603 -567074535 | +| 183 | Harmonic:Inv:Rev | TransNat1 | missing | 1 1 -3 -1 9 -6 -48 167 11 -2173 8567 -474 -170668 947075 -1241971 -19249129 171910069 -585651922 | +| 184 | Harmonic:Inv:Rev | TransSqrs | missing | 0 0 -2 4 15 -53 -65 841 -1708 -7958 67655 -151489 -867691 9252739 -31956522 -94388020 1863477363 | +| 185 | Harmonic:Inv:Rev | PosHalf | missing | 1 2 0 -4 -4 20 12 -204 268 2292 -11828 -4300 300940 -1285772 -2689204 59952564 -264710900 | +| 186 | Harmonic:Inv:Rev | NegHalf | missing | 1 -2 8 -28 116 -548 2884 -16644 104132 -700100 5022980 -38240772 307474500 -2600627524 23059485060 | +| 187 | Harmonic:Inv:Rev | DiagRow1 | A036452 | 1 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 | +| 188 | Harmonic:Inv:Rev | DiagRow2 | A033484 | 1 -4 10 -22 46 -94 190 -382 766 -1534 3070 -6142 12286 -24574 49150 -98302 196606 -393214 786430 | +| 189 | Harmonic:Inv:Rev | DiagRow3 | B091344 | 1 -7 31 -115 391 -1267 3991 -12355 37831 -115027 348151 -1050595 3164071 -9516787 28599511 | +| 190 | Harmonic:Inv:Rev | DiagCol1 | A254835 | 0 -2 -4 -7 -11 -16 -22 -29 -37 -46 -56 -67 -79 -92 -106 -121 -137 -154 -172 -191 -211 -232 -254 | +| 191 | Harmonic:Inv:Rev | DiagCol2 | B090809 | 0 2 10 31 75 155 287 490 786 1200 1760 2497 3445 4641 6125 7940 10132 12750 15846 19475 23695 28567 | +| 192 | Harmonic:Inv:Rev | DiagCol3 | missing | 0 -2 -22 -115 -415 -1190 -2912 -6342 -12630 -23430 -41030 -68497 -109837 -170170 -255920 -375020 | +| 193 | Harmonic:Inv:Rev | Poly | A065372 | 1 1 1 1 1 1 1 -1 1 1 1 -1 -3 1 1 1 2 1 -5 1 1 1 1 11 7 -7 1 1 1 -11 -41 16 17 -9 1 1 1 18 21 -185 5 | +| 194 | Harmonic:Inv:Rev | PolyRow2 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | +| 195 | Harmonic:Inv:Rev | PolyRow3 | A056220 | 1 -1 1 7 17 31 49 71 97 127 161 199 241 287 337 391 449 511 577 647 721 799 881 967 1057 1151 1249 | +| 196 | Harmonic:Inv:Rev | PolyCol2 | missing | 1 1 -3 1 11 -41 21 633 -4253 10575 70285 -1060271 6587995 -7206553 -353104795 4799644809 | +| 197 | Harmonic:Inv:Rev | PolyCol3 | missing | 1 1 -5 7 16 -185 763 412 -37247 359431 -1630802 -8175875 269835955 -3226480706 19332564439 | +| 198 | Harmonic:Inv:Rev | PolyDiag | missing | 1 1 -3 7 5 -779 21829 -540672 11905753 -128861693 -11774133859 1520185039957 -133257057306275 | \ No newline at end of file diff --git a/data/md/HermiteE.md b/data/md/HermiteE.md index de63b28..0751086 100644 --- a/data/md/HermiteE.md +++ b/data/md/HermiteE.md @@ -40,115 +40,155 @@ | 37 | HermiteE:Std | PolyCol2 | A005425 | 1 2 5 14 43 142 499 1850 7193 29186 123109 538078 2430355 11317646 54229907 266906858 1347262321 | | 38 | HermiteE:Std | PolyCol3 | A202834 | 1 3 10 36 138 558 2364 10440 47868 227124 1112184 5607792 29057400 154465704 841143312 4685949792 | | 39 | HermiteE:Std | PolyDiag | missing | 1 1 5 36 355 4450 67731 1213240 25004393 582854940 15161973445 435430350256 13683641789115 | -| 40 | HermiteE:Rev | Triangle | A073278 | 1 1 0 1 0 1 1 0 3 0 1 0 6 0 3 1 0 10 0 15 0 1 0 15 0 45 0 15 1 0 21 0 105 0 105 0 1 0 28 0 210 0 | -| 41 | HermiteE:Rev | InvRev | A066325 | 1 0 1 -1 0 1 0 -3 0 1 3 0 -6 0 1 0 15 0 -10 0 1 -15 0 45 0 -15 0 1 0 -105 0 105 0 -21 0 1 105 0 | -| 42 | HermiteE:Rev | Acc | missing | 1 1 1 1 1 2 1 1 4 4 1 1 7 7 10 1 1 11 11 26 26 1 1 16 16 61 61 76 1 1 22 22 127 127 232 232 1 1 29 | -| 43 | HermiteE:Rev | AccRev | missing | 1 0 1 1 1 2 0 3 3 4 3 3 9 9 10 0 15 15 25 25 26 15 15 60 60 75 75 76 0 105 105 210 210 231 231 232 | -| 44 | HermiteE:Rev | AntiDiag | missing | 1 1 1 0 1 0 1 0 1 1 0 3 1 0 6 0 1 0 10 0 1 0 15 0 3 1 0 21 0 15 1 0 28 0 45 0 1 0 36 0 105 0 1 0 45 | -| 45 | HermiteE:Rev | Diffx1 | missing | 1 1 0 1 0 3 1 0 9 0 1 0 18 0 15 1 0 30 0 75 0 1 0 45 0 225 0 105 1 0 63 0 525 0 735 0 1 0 84 0 1050 | -| 46 | HermiteE:Rev | RowSum | A000085 | 1 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 | -| 47 | HermiteE:Rev | EvenSum | A000085 | 1 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 | -| 48 | HermiteE:Rev | AltSum | A000085 | 1 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 | -| 49 | HermiteE:Rev | DiagSum | missing | 1 1 1 1 2 4 7 11 19 37 74 142 271 539 1117 2329 4832 10126 21709 47297 103579 227917 507176 1143424 | -| 50 | HermiteE:Rev | AccSum | B000085 | 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 997313824 | -| 51 | HermiteE:Rev | AccRevSum | missing | 1 1 4 10 34 106 376 1324 5020 19324 78256 323896 1393624 6137080 27898144 129735376 619921936 | -| 52 | HermiteE:Rev | RowLcm | missing | 1 1 1 3 6 30 45 105 420 3780 9450 103950 623700 540540 945945 14189175 113513400 1929727800 | -| 53 | HermiteE:Rev | RowGcd | B069834 | 1 1 1 3 3 5 15 21 7 9 45 55 33 39 91 105 15 17 153 171 95 105 231 253 69 75 325 351 189 203 435 465 | -| 54 | HermiteE:Rev | RowMax | missing | 1 1 1 3 6 15 45 105 420 1260 4725 17325 62370 270270 945945 4729725 18918900 91891800 413513100 | -| 55 | HermiteE:Rev | ColMiddle | missing | 1 1 0 0 6 10 0 0 210 378 0 0 13860 25740 0 0 1351350 2552550 0 0 174594420 333316620 0 0 | -| 56 | HermiteE:Rev | CentralE | missing | 1 0 6 0 210 0 13860 0 1351350 0 174594420 0 28109701620 0 5421156741000 0 | -| 57 | HermiteE:Rev | CentralO | missing | 1 0 10 0 378 0 25740 0 2552550 0 333316620 0 54057118500 0 10480903032600 0 | -| 58 | HermiteE:Rev | ColRight | A123023 | 1 0 1 0 3 0 15 0 105 0 945 0 10395 0 135135 0 2027025 0 34459425 0 654729075 0 13749310575 0 | -| 59 | HermiteE:Rev | BinConv | A344501 | 1 1 2 10 40 176 916 4852 27350 163270 1009396 6504356 43400512 298682320 2118282440 15433768456 | -| 60 | HermiteE:Rev | InvBinConv | A344501 | 1 -1 2 -10 40 -176 916 -4852 27350 -163270 1009396 -6504356 43400512 -298682320 2118282440 | -| 61 | HermiteE:Rev | TransNat0 | missing | 0 0 2 6 24 80 300 1092 4256 16704 68760 288200 1253472 5568576 25507664 119385840 573715200 | -| 62 | HermiteE:Rev | TransNat1 | missing | 1 1 4 10 34 106 376 1324 5020 19324 78256 323896 1393624 6137080 27898144 129735376 619921936 | -| 63 | HermiteE:Rev | TransSqrs | missing | 0 0 4 12 72 280 1320 5544 25312 112032 520560 2413840 11583264 56096352 279147232 1408172640 | -| 64 | HermiteE:Rev | PosHalf | A005425 | 1 2 5 14 43 142 499 1850 7193 29186 123109 538078 2430355 11317646 54229907 266906858 1347262321 | -| 65 | HermiteE:Rev | NegHalf | A005425 | 1 -2 5 -14 43 -142 499 -1850 7193 -29186 123109 -538078 2430355 -11317646 54229907 -266906858 | -| 66 | HermiteE:Rev | DiagRow1 | B123023 | 1 0 3 0 15 0 105 0 945 0 10395 0 135135 0 2027025 0 34459425 0 654729075 0 13749310575 0 | -| 67 | HermiteE:Rev | DiagRow2 | missing | 1 0 6 0 45 0 420 0 4725 0 62370 0 945945 0 16216200 0 310134825 0 6547290750 0 151242416325 0 | -| 68 | HermiteE:Rev | DiagRow3 | missing | 1 0 10 0 105 0 1260 0 17325 0 270270 0 4729725 0 91891800 0 1964187225 0 45831035250 0 | -| 69 | HermiteE:Rev | DiagCol2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | -| 70 | HermiteE:Rev | Poly | missing | 1 1 1 1 1 1 1 2 1 1 1 4 5 1 1 1 10 13 10 1 1 1 26 73 28 17 1 1 1 76 281 298 49 26 1 1 1 232 1741 | -| 71 | HermiteE:Rev | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 72 | HermiteE:Rev | PolyRow3 | A056107 | 1 4 13 28 49 76 109 148 193 244 301 364 433 508 589 676 769 868 973 1084 1201 1324 1453 1588 1729 | -| 73 | HermiteE:Rev | PolyCol2 | A115329 | 1 1 5 13 73 281 1741 8485 57233 328753 2389141 15539261 120661465 866545993 7140942173 55667517781 | -| 74 | HermiteE:Rev | PolyCol3 | missing | 1 1 10 28 298 1306 14716 85240 1012348 7149628 89149816 732616336 9558448120 88681012408 | -| 75 | HermiteE:Rev | PolyDiag | A359739 | 1 1 5 28 865 9626 758701 12606280 1872570113 41351249980 9925656304501 273345587759696 | -| 76 | HermiteE:Inv | Triangle | A066325 | 1 0 1 -1 0 1 0 -3 0 1 3 0 -6 0 1 0 15 0 -10 0 1 -15 0 45 0 -15 0 1 0 -105 0 105 0 -21 0 1 105 0 | -| 77 | HermiteE:Inv | Rev | A073278 | 1 1 0 1 0 -1 1 0 -3 0 1 0 -6 0 3 1 0 -10 0 15 0 1 0 -15 0 45 0 -15 1 0 -21 0 105 0 -105 0 1 0 -28 0 | -| 78 | HermiteE:Inv | RevInv | A073278 | 1 1 0 1 0 1 1 0 3 0 1 0 6 0 3 1 0 10 0 15 0 1 0 15 0 45 0 15 1 0 21 0 105 0 105 0 1 0 28 0 210 0 | -| 79 | HermiteE:Inv | Acc | missing | 1 0 1 -1 -1 0 0 -3 -3 -2 3 3 -3 -3 -2 0 15 15 5 5 6 -15 -15 30 30 15 15 16 0 -105 -105 0 0 -21 -21 | -| 80 | HermiteE:Inv | AccRev | missing | 1 1 1 1 1 0 1 1 -2 -2 1 1 -5 -5 -2 1 1 -9 -9 6 6 1 1 -14 -14 31 31 16 1 1 -20 -20 85 85 -20 -20 1 1 | -| 81 | HermiteE:Inv | AntiDiag | missing | 1 0 -1 1 0 0 3 -3 1 0 0 0 -15 15 -6 1 0 0 0 0 105 -105 45 -10 1 0 0 0 0 0 -945 945 -420 105 -15 1 0 | -| 82 | HermiteE:Inv | Diffx1 | missing | 1 0 2 -1 0 3 0 -6 0 4 3 0 -18 0 5 0 30 0 -40 0 6 -15 0 135 0 -75 0 7 0 -210 0 420 0 -126 0 8 105 0 | -| 83 | HermiteE:Inv | RowSum | A001464 | 1 1 0 -2 -2 6 16 -20 -132 28 1216 936 -12440 -23672 138048 469456 -1601264 -9112560 18108928 | -| 84 | HermiteE:Inv | EvenSum | missing | 1 0 0 0 -2 0 16 0 -132 0 1216 0 -12440 0 138048 0 -1601264 0 18108928 0 -161934624 0 -404007680 0 | -| 85 | HermiteE:Inv | OddSum | missing | 0 1 0 -2 0 6 0 -20 0 28 0 936 0 -23672 0 469456 0 -9112560 0 182135008 0 -3804634784 0 83297957568 | -| 86 | HermiteE:Inv | AltSum | A001464 | 1 -1 0 2 -2 -6 16 20 -132 -28 1216 -936 -12440 23672 138048 -469456 -1601264 9112560 18108928 | -| 87 | HermiteE:Inv | DiagSum | missing | 1 0 0 0 1 0 -5 0 36 0 -329 0 3655 0 -47844 0 721315 0 -12310199 0 234615096 0 -4939227215 0 | -| 88 | HermiteE:Inv | AccSum | missing | 1 1 -2 -8 -2 46 76 -272 -1028 1468 13096 -2144 -172952 -169688 2402128 5440576 -34732784 -136804592 | -| 89 | HermiteE:Inv | AccRevSum | missing | 1 2 2 -2 -10 -4 52 92 -292 -1160 1496 14312 -1208 -185392 -193360 2540176 5910032 -36334048 | -| 90 | HermiteE:Inv | RowLcm | missing | 1 1 1 3 6 30 45 105 420 3780 9450 103950 623700 540540 945945 14189175 113513400 1929727800 | -| 91 | HermiteE:Inv | RowGcd | B069834 | 1 1 1 3 3 5 15 21 7 9 45 55 33 39 91 105 15 17 153 171 95 105 231 253 69 75 325 351 189 203 435 465 | -| 92 | HermiteE:Inv | RowMax | missing | 1 1 1 3 6 15 45 105 420 1260 4725 17325 62370 270270 945945 4729725 18918900 91891800 413513100 | -| 93 | HermiteE:Inv | ColMiddle | missing | 1 0 0 -3 -6 0 0 105 210 0 0 -6930 -13860 0 0 675675 1351350 0 0 -87297210 -174594420 0 0 | -| 94 | HermiteE:Inv | CentralE | missing | 1 0 -6 0 210 0 -13860 0 1351350 0 -174594420 0 28109701620 0 -5421156741000 0 | -| 95 | HermiteE:Inv | CentralO | missing | 0 -3 0 105 0 -6930 0 675675 0 -87297210 0 14054850810 0 -2710578370500 0 609202488769875 | -| 96 | HermiteE:Inv | ColLeft | A123023 | 1 0 -1 0 3 0 -15 0 105 0 -945 0 10395 0 -135135 0 2027025 0 -34459425 0 654729075 0 -13749310575 0 | -| 97 | HermiteE:Inv | BinConv | missing | 1 1 0 -8 -32 -24 436 2500 2262 -51002 -319544 -133704 9545680 55736032 -46326552 -2422602104 | -| 98 | HermiteE:Inv | InvBinConv | missing | 1 1 0 -8 -32 -24 436 2500 2262 -51002 -319544 -133704 9545680 55736032 -46326552 -2422602104 | -| 99 | HermiteE:Inv | TransNat0 | missing | 0 1 2 0 -8 -10 36 112 -160 -1188 280 13376 11232 -161720 -331408 2070720 7511296 -27221488 | -| 100 | HermiteE:Inv | TransNat1 | missing | 1 2 2 -2 -10 -4 52 92 -292 -1160 1496 14312 -1208 -185392 -193360 2540176 5910032 -36334048 | -| 101 | HermiteE:Inv | TransSqrs | missing | 0 1 4 6 -8 -50 -24 364 736 -2628 -11600 16456 171744 -15704 -2595488 -2900400 40642816 100470544 | -| 102 | HermiteE:Inv | PosHalf | A362176 | 1 1 -3 -11 25 201 -299 -5123 3249 167185 50221 -6637179 -8846903 309737689 769776645 -16575533939 | -| 103 | HermiteE:Inv | NegHalf | A362176 | 1 1 -3 -11 25 201 -299 -5123 3249 167185 50221 -6637179 -8846903 309737689 769776645 -16575533939 | -| 104 | HermiteE:Inv | DiagRow2 | A025731 | -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 -276 | -| 105 | HermiteE:Inv | DiagCol1 | B123023 | 1 0 -3 0 15 0 -105 0 945 0 -10395 0 135135 0 -2027025 0 34459425 0 -654729075 0 13749310575 0 | -| 106 | HermiteE:Inv | DiagCol2 | missing | 1 0 -6 0 45 0 -420 0 4725 0 -62370 0 945945 0 -16216200 0 310134825 0 -6547290750 0 151242416325 0 | -| 107 | HermiteE:Inv | DiagCol3 | missing | 1 0 -10 0 105 0 -1260 0 17325 0 -270270 0 4729725 0 -91891800 0 1964187225 0 -45831035250 0 | -| 108 | HermiteE:Inv | Poly | missing | 1 0 1 -1 1 1 0 0 2 1 3 -2 3 3 1 0 -2 2 8 4 1 -15 6 -5 18 15 5 1 0 16 -18 30 52 24 6 1 105 -20 -11 | -| 109 | HermiteE:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 110 | HermiteE:Inv | PolyRow2 | A131386 | -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | -| 111 | HermiteE:Inv | PolyRow3 | A121670 | 0 -2 2 18 52 110 198 322 488 702 970 1298 1692 2158 2702 3330 4048 4862 5778 6802 7940 9198 10582 | -| 112 | HermiteE:Inv | PolyCol2 | missing | 1 2 3 2 -5 -18 -11 86 249 -190 -2621 -3342 22147 84398 -119115 -1419802 -1052879 20611074 59121091 | -| 113 | HermiteE:Inv | PolyCol3 | missing | 1 3 8 18 30 18 -96 -396 -516 1620 9504 12312 -67608 -350568 -172800 4389552 15760656 -22950864 | -| 114 | HermiteE:Inv | PolyDiag | A089466 | 1 1 3 18 163 1950 28821 505876 10270569 236644092 6098971555 173823708696 5427760272507 | -| 115 | HermiteE:Inv:Rev | Triangle | A073278 | 1 1 0 1 0 -1 1 0 -3 0 1 0 -6 0 3 1 0 -10 0 15 0 1 0 -15 0 45 0 -15 1 0 -21 0 105 0 -105 0 1 0 -28 0 | -| 116 | HermiteE:Inv:Rev | Rev | A066325 | 1 0 1 -1 0 1 0 -3 0 1 3 0 -6 0 1 0 15 0 -10 0 1 -15 0 45 0 -15 0 1 0 -105 0 105 0 -21 0 1 105 0 | -| 117 | HermiteE:Inv:Rev | InvRev | A066325 | 1 0 1 1 0 1 0 3 0 1 3 0 6 0 1 0 15 0 10 0 1 15 0 45 0 15 0 1 0 105 0 105 0 21 0 1 105 0 420 0 210 0 | -| 118 | HermiteE:Inv:Rev | Acc | missing | 1 1 1 1 1 0 1 1 -2 -2 1 1 -5 -5 -2 1 1 -9 -9 6 6 1 1 -14 -14 31 31 16 1 1 -20 -20 85 85 -20 -20 1 1 | -| 119 | HermiteE:Inv:Rev | AccRev | missing | 1 0 1 -1 -1 0 0 -3 -3 -2 3 3 -3 -3 -2 0 15 15 5 5 6 -15 -15 30 30 15 15 16 0 -105 -105 0 0 -21 -21 | -| 120 | HermiteE:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 0 1 0 -1 1 0 -3 1 0 -6 0 1 0 -10 0 1 0 -15 0 3 1 0 -21 0 15 1 0 -28 0 45 0 1 0 -36 0 105 | -| 121 | HermiteE:Inv:Rev | Diffx1 | missing | 1 1 0 1 0 -3 1 0 -9 0 1 0 -18 0 15 1 0 -30 0 75 0 1 0 -45 0 225 0 -105 1 0 -63 0 525 0 -735 0 1 0 | -| 122 | HermiteE:Inv:Rev | RowSum | A001464 | 1 1 0 -2 -2 6 16 -20 -132 28 1216 936 -12440 -23672 138048 469456 -1601264 -9112560 18108928 | -| 123 | HermiteE:Inv:Rev | EvenSum | A001464 | 1 1 0 -2 -2 6 16 -20 -132 28 1216 936 -12440 -23672 138048 469456 -1601264 -9112560 18108928 | -| 124 | HermiteE:Inv:Rev | AltSum | A001464 | 1 1 0 -2 -2 6 16 -20 -132 28 1216 936 -12440 -23672 138048 469456 -1601264 -9112560 18108928 | -| 125 | HermiteE:Inv:Rev | DiagSum | missing | 1 1 1 1 0 -2 -5 -9 -11 -5 18 70 151 219 145 -347 -1650 -3944 -6251 -4455 11293 56635 141816 231184 | -| 126 | HermiteE:Inv:Rev | AccSum | missing | 1 2 2 -2 -10 -4 52 92 -292 -1160 1496 14312 -1208 -185392 -193360 2540176 5910032 -36334048 | -| 127 | HermiteE:Inv:Rev | AccRevSum | missing | 1 1 -2 -8 -2 46 76 -272 -1028 1468 13096 -2144 -172952 -169688 2402128 5440576 -34732784 -136804592 | -| 128 | HermiteE:Inv:Rev | RowLcm | missing | 1 1 1 3 6 30 45 105 420 3780 9450 103950 623700 540540 945945 14189175 113513400 1929727800 | -| 129 | HermiteE:Inv:Rev | RowGcd | B069834 | 1 1 1 3 3 5 15 21 7 9 45 55 33 39 91 105 15 17 153 171 95 105 231 253 69 75 325 351 189 203 435 465 | -| 130 | HermiteE:Inv:Rev | RowMax | missing | 1 1 1 3 6 15 45 105 420 1260 4725 17325 62370 270270 945945 4729725 18918900 91891800 413513100 | -| 131 | HermiteE:Inv:Rev | ColMiddle | missing | 1 1 0 0 -6 -10 0 0 210 378 0 0 -13860 -25740 0 0 1351350 2552550 0 0 -174594420 -333316620 0 0 | -| 132 | HermiteE:Inv:Rev | CentralE | missing | 1 0 -6 0 210 0 -13860 0 1351350 0 -174594420 0 28109701620 0 -5421156741000 0 | -| 133 | HermiteE:Inv:Rev | CentralO | missing | 1 0 -10 0 378 0 -25740 0 2552550 0 -333316620 0 54057118500 0 -10480903032600 0 | -| 134 | HermiteE:Inv:Rev | ColRight | A123023 | 1 0 -1 0 3 0 -15 0 105 0 -945 0 10395 0 -135135 0 2027025 0 -34459425 0 654729075 0 -13749310575 0 | -| 135 | HermiteE:Inv:Rev | BinConv | missing | 1 1 0 -8 -32 -24 436 2500 2262 -51002 -319544 -133704 9545680 55736032 -46326552 -2422602104 | -| 136 | HermiteE:Inv:Rev | InvBinConv | missing | 1 -1 0 8 -32 24 436 -2500 2262 51002 -319544 133704 9545680 -55736032 -46326552 2422602104 | -| 137 | HermiteE:Inv:Rev | TransNat0 | missing | 0 0 -2 -6 0 40 60 -252 -896 1440 11880 -3080 -160512 -146016 2264080 4971120 -33131520 -127692032 | -| 138 | HermiteE:Inv:Rev | TransNat1 | missing | 1 1 -2 -8 -2 46 76 -272 -1028 1468 13096 -2144 -172952 -169688 2402128 5440576 -34732784 -136804592 | -| 139 | HermiteE:Inv:Rev | TransSqrs | missing | 0 0 -4 -12 24 200 120 -2184 -5152 21024 104400 -164560 -1889184 188448 33741344 40605600 -609642240 | -| 140 | HermiteE:Inv:Rev | PosHalf | missing | 1 2 3 2 -5 -18 -11 86 249 -190 -2621 -3342 22147 84398 -119115 -1419802 -1052879 20611074 59121091 | -| 141 | HermiteE:Inv:Rev | NegHalf | missing | 1 -2 3 -2 -5 18 -11 -86 249 190 -2621 3342 22147 -84398 -119115 1419802 -1052879 -20611074 59121091 | -| 142 | HermiteE:Inv:Rev | DiagRow1 | B123023 | 1 0 -3 0 15 0 -105 0 945 0 -10395 0 135135 0 -2027025 0 34459425 0 -654729075 0 13749310575 0 | -| 143 | HermiteE:Inv:Rev | DiagRow2 | missing | 1 0 -6 0 45 0 -420 0 4725 0 -62370 0 945945 0 -16216200 0 310134825 0 -6547290750 0 151242416325 0 | -| 144 | HermiteE:Inv:Rev | DiagRow3 | missing | 1 0 -10 0 105 0 -1260 0 17325 0 -270270 0 4729725 0 -91891800 0 1964187225 0 -45831035250 0 | -| 145 | HermiteE:Inv:Rev | DiagCol2 | A025731 | -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 -276 | -| 146 | HermiteE:Inv:Rev | Poly | missing | 1 1 1 1 1 1 1 0 1 1 1 -2 -3 1 1 1 -2 -11 -8 1 1 1 6 25 -26 -15 1 1 1 16 201 190 -47 -24 1 1 1 -20 | -| 147 | HermiteE:Inv:Rev | PolyRow2 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | -| 148 | HermiteE:Inv:Rev | PolyRow3 | A080663 | 1 -2 -11 -26 -47 -74 -107 -146 -191 -242 -299 -362 -431 -506 -587 -674 -767 -866 -971 -1082 -1199 | -| 149 | HermiteE:Inv:Rev | PolyCol2 | A362176 | 1 1 -3 -11 25 201 -299 -5123 3249 167185 50221 -6637179 -8846903 309737689 769776645 -16575533939 | -| 150 | HermiteE:Inv:Rev | PolyCol3 | missing | 1 1 -8 -26 190 1126 -7424 -68228 399484 5311900 -27046304 -505117304 2172466792 56725135624 | -| 151 | HermiteE:Inv:Rev | PolyDiag | missing | 1 1 -3 -26 673 9126 -642059 -12102068 1652365569 40012012828 -8980643704499 -265918023543864 | \ No newline at end of file +| 40 | HermiteE:Alt | Triangle | A066325 | 1 0 -1 1 0 1 0 -3 0 -1 3 0 6 0 1 0 -15 0 -10 0 -1 15 0 45 0 15 0 1 0 -105 0 -105 0 -21 0 -1 105 0 | +| 41 | HermiteE:Alt | Rev | A073278 | 1 -1 0 1 0 1 -1 0 -3 0 1 0 6 0 3 -1 0 -10 0 -15 0 1 0 15 0 45 0 15 -1 0 -21 0 -105 0 -105 0 1 0 28 | +| 42 | HermiteE:Alt | Inv | A066325 | 1 0 1 -1 0 1 0 3 0 1 3 0 -6 0 1 0 45 0 10 0 1 -15 0 45 0 -15 0 1 0 1365 0 315 0 21 0 1 105 0 -420 0 | +| 43 | HermiteE:Alt | RevInv | A073278 | 1 1 0 1 0 -1 1 0 3 0 1 0 -6 0 3 1 0 10 0 45 0 1 0 -15 0 45 0 -15 1 0 21 0 315 0 1365 0 1 0 -28 0 | +| 44 | HermiteE:Alt | Acc | missing | 1 0 -1 1 1 2 0 -3 -3 -4 3 3 9 9 10 0 -15 -15 -25 -25 -26 15 15 60 60 75 75 76 0 -105 -105 -210 -210 | +| 45 | HermiteE:Alt | AccRev | missing | 1 -1 -1 1 1 2 -1 -1 -4 -4 1 1 7 7 10 -1 -1 -11 -11 -26 -26 1 1 16 16 61 61 76 -1 -1 -22 -22 -127 | +| 46 | HermiteE:Alt | AntiDiag | missing | 1 0 1 -1 0 0 3 -3 1 0 0 0 15 -15 6 -1 0 0 0 0 105 -105 45 -10 1 0 0 0 0 0 945 -945 420 -105 15 -1 0 | +| 47 | HermiteE:Alt | Diffx1 | missing | 1 0 -2 1 0 3 0 -6 0 -4 3 0 18 0 5 0 -30 0 -40 0 -6 15 0 135 0 75 0 7 0 -210 0 -420 0 -126 0 -8 105 | +| 48 | HermiteE:Alt | RowSum | A000085 | 1 -1 2 -4 10 -26 76 -232 764 -2620 9496 -35696 140152 -568504 2390480 -10349536 46206736 -211799312 | +| 49 | HermiteE:Alt | EvenSum | missing | 1 0 2 0 10 0 76 0 764 0 9496 0 140152 0 2390480 0 46206736 0 997313824 0 23758664096 0 618884638912 | +| 50 | HermiteE:Alt | OddSum | missing | 0 -1 0 -4 0 -26 0 -232 0 -2620 0 -35696 0 -568504 0 -10349536 0 -211799312 0 -4809701440 0 | +| 51 | HermiteE:Alt | AltSum | A000085 | 1 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 | +| 52 | HermiteE:Alt | DiagSum | missing | 1 0 0 0 1 0 5 0 36 0 329 0 3655 0 47844 0 721315 0 12310199 0 234615096 0 4939227215 0 113836841041 | +| 53 | HermiteE:Alt | AccSum | missing | 1 -1 4 -10 34 -106 376 -1324 5020 -19324 78256 -323896 1393624 -6137080 27898144 -129735376 | +| 54 | HermiteE:Alt | AccRevSum | B000085 | 1 -2 4 -10 26 -76 232 -764 2620 -9496 35696 -140152 568504 -2390480 10349536 -46206736 211799312 | +| 55 | HermiteE:Alt | RowLcm | missing | 1 1 1 3 6 30 45 105 420 3780 9450 103950 623700 540540 945945 14189175 113513400 1929727800 | +| 56 | HermiteE:Alt | RowGcd | B069834 | 1 1 1 3 3 5 15 21 7 9 45 55 33 39 91 105 15 17 153 171 95 105 231 253 69 75 325 351 189 203 435 465 | +| 57 | HermiteE:Alt | RowMax | missing | 1 1 1 3 6 15 45 105 420 1260 4725 17325 62370 270270 945945 4729725 18918900 91891800 413513100 | +| 58 | HermiteE:Alt | ColMiddle | missing | 1 0 0 -3 6 0 0 -105 210 0 0 -6930 13860 0 0 -675675 1351350 0 0 -87297210 174594420 0 0 | +| 59 | HermiteE:Alt | CentralE | missing | 1 0 6 0 210 0 13860 0 1351350 0 174594420 0 28109701620 0 5421156741000 0 | +| 60 | HermiteE:Alt | CentralO | missing | 0 -3 0 -105 0 -6930 0 -675675 0 -87297210 0 -14054850810 0 -2710578370500 0 -609202488769875 | +| 61 | HermiteE:Alt | ColLeft | A123023 | 1 0 1 0 3 0 15 0 105 0 945 0 10395 0 135135 0 2027025 0 34459425 0 654729075 0 13749310575 0 | +| 62 | HermiteE:Alt | BinConv | A344501 | 1 -1 2 -10 40 -176 916 -4852 27350 -163270 1009396 -6504356 43400512 -298682320 2118282440 | +| 63 | HermiteE:Alt | InvBinConv | A344501 | 1 -1 2 -10 40 -176 916 -4852 27350 -163270 1009396 -6504356 43400512 -298682320 2118282440 | +| 64 | HermiteE:Alt | TransNat0 | A013989 | 0 -1 2 -6 16 -50 156 -532 1856 -6876 26200 -104456 428352 -1821976 7959056 -35857200 165592576 | +| 65 | HermiteE:Alt | TransNat1 | B000085 | 1 -2 4 -10 26 -76 232 -764 2620 -9496 35696 -140152 568504 -2390480 10349536 -46206736 211799312 | +| 66 | HermiteE:Alt | TransSqrs | missing | 0 -1 4 -12 40 -130 456 -1624 6112 -23580 94960 -392656 1681824 -7390552 33466720 -155243040 | +| 67 | HermiteE:Alt | PosHalf | A115329 | 1 -1 5 -13 73 -281 1741 -8485 57233 -328753 2389141 -15539261 120661465 -866545993 7140942173 | +| 68 | HermiteE:Alt | NegHalf | A115329 | 1 -1 5 -13 73 -281 1741 -8485 57233 -328753 2389141 -15539261 120661465 -866545993 7140942173 | +| 69 | HermiteE:Alt | DiagRow2 | A025731 | 1 -3 6 -10 15 -21 28 -36 45 -55 66 -78 91 -105 120 -136 153 -171 190 -210 231 -253 276 -300 325 | +| 70 | HermiteE:Alt | DiagCol1 | B123022 | -1 0 -3 0 -15 0 -105 0 -945 0 -10395 0 -135135 0 -2027025 0 -34459425 0 -654729075 0 -13749310575 0 | +| 71 | HermiteE:Alt | DiagCol2 | missing | 1 0 6 0 45 0 420 0 4725 0 62370 0 945945 0 16216200 0 310134825 0 6547290750 0 151242416325 0 | +| 72 | HermiteE:Alt | DiagCol3 | missing | -1 0 -10 0 -105 0 -1260 0 -17325 0 -270270 0 -4729725 0 -91891800 0 -1964187225 0 -45831035250 0 | +| 73 | HermiteE:Alt | Poly | missing | 1 0 1 1 -1 1 0 2 -2 1 3 -4 5 -3 1 0 10 -14 10 -4 1 15 -26 43 -36 17 -5 1 0 76 -142 138 -76 26 -6 1 | +| 74 | HermiteE:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | HermiteE:Alt | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 76 | HermiteE:Alt | PolyRow3 | B079908 | 0 -4 -14 -36 -76 -140 -234 -364 -536 -756 -1030 -1364 -1764 -2236 -2786 -3420 -4144 -4964 -5886 | +| 77 | HermiteE:Alt | PolyCol2 | A005425 | 1 -2 5 -14 43 -142 499 -1850 7193 -29186 123109 -538078 2430355 -11317646 54229907 -266906858 | +| 78 | HermiteE:Alt | PolyCol3 | A202834 | 1 -3 10 -36 138 -558 2364 -10440 47868 -227124 1112184 -5607792 29057400 -154465704 841143312 | +| 79 | HermiteE:Alt | PolyDiag | missing | 1 -1 5 -36 355 -4450 67731 -1213240 25004393 -582854940 15161973445 -435430350256 13683641789115 | +| 80 | HermiteE:Rev | Triangle | A073278 | 1 1 0 1 0 1 1 0 3 0 1 0 6 0 3 1 0 10 0 15 0 1 0 15 0 45 0 15 1 0 21 0 105 0 105 0 1 0 28 0 210 0 | +| 81 | HermiteE:Rev | InvRev | A066325 | 1 0 1 -1 0 1 0 -3 0 1 3 0 -6 0 1 0 15 0 -10 0 1 -15 0 45 0 -15 0 1 0 -105 0 105 0 -21 0 1 105 0 | +| 82 | HermiteE:Rev | Acc | missing | 1 1 1 1 1 2 1 1 4 4 1 1 7 7 10 1 1 11 11 26 26 1 1 16 16 61 61 76 1 1 22 22 127 127 232 232 1 1 29 | +| 83 | HermiteE:Rev | AccRev | missing | 1 0 1 1 1 2 0 3 3 4 3 3 9 9 10 0 15 15 25 25 26 15 15 60 60 75 75 76 0 105 105 210 210 231 231 232 | +| 84 | HermiteE:Rev | AntiDiag | missing | 1 1 1 0 1 0 1 0 1 1 0 3 1 0 6 0 1 0 10 0 1 0 15 0 3 1 0 21 0 15 1 0 28 0 45 0 1 0 36 0 105 0 1 0 45 | +| 85 | HermiteE:Rev | Diffx1 | missing | 1 1 0 1 0 3 1 0 9 0 1 0 18 0 15 1 0 30 0 75 0 1 0 45 0 225 0 105 1 0 63 0 525 0 735 0 1 0 84 0 1050 | +| 86 | HermiteE:Rev | RowSum | A000085 | 1 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 | +| 87 | HermiteE:Rev | EvenSum | A000085 | 1 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 | +| 88 | HermiteE:Rev | AltSum | A000085 | 1 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 | +| 89 | HermiteE:Rev | DiagSum | missing | 1 1 1 1 2 4 7 11 19 37 74 142 271 539 1117 2329 4832 10126 21709 47297 103579 227917 507176 1143424 | +| 90 | HermiteE:Rev | AccSum | B000085 | 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 10349536 46206736 211799312 997313824 | +| 91 | HermiteE:Rev | AccRevSum | missing | 1 1 4 10 34 106 376 1324 5020 19324 78256 323896 1393624 6137080 27898144 129735376 619921936 | +| 92 | HermiteE:Rev | RowLcm | missing | 1 1 1 3 6 30 45 105 420 3780 9450 103950 623700 540540 945945 14189175 113513400 1929727800 | +| 93 | HermiteE:Rev | RowGcd | B069834 | 1 1 1 3 3 5 15 21 7 9 45 55 33 39 91 105 15 17 153 171 95 105 231 253 69 75 325 351 189 203 435 465 | +| 94 | HermiteE:Rev | RowMax | missing | 1 1 1 3 6 15 45 105 420 1260 4725 17325 62370 270270 945945 4729725 18918900 91891800 413513100 | +| 95 | HermiteE:Rev | ColMiddle | missing | 1 1 0 0 6 10 0 0 210 378 0 0 13860 25740 0 0 1351350 2552550 0 0 174594420 333316620 0 0 | +| 96 | HermiteE:Rev | CentralE | missing | 1 0 6 0 210 0 13860 0 1351350 0 174594420 0 28109701620 0 5421156741000 0 | +| 97 | HermiteE:Rev | CentralO | missing | 1 0 10 0 378 0 25740 0 2552550 0 333316620 0 54057118500 0 10480903032600 0 | +| 98 | HermiteE:Rev | ColRight | A123023 | 1 0 1 0 3 0 15 0 105 0 945 0 10395 0 135135 0 2027025 0 34459425 0 654729075 0 13749310575 0 | +| 99 | HermiteE:Rev | BinConv | A344501 | 1 1 2 10 40 176 916 4852 27350 163270 1009396 6504356 43400512 298682320 2118282440 15433768456 | +| 100 | HermiteE:Rev | InvBinConv | A344501 | 1 -1 2 -10 40 -176 916 -4852 27350 -163270 1009396 -6504356 43400512 -298682320 2118282440 | +| 101 | HermiteE:Rev | TransNat0 | missing | 0 0 2 6 24 80 300 1092 4256 16704 68760 288200 1253472 5568576 25507664 119385840 573715200 | +| 102 | HermiteE:Rev | TransNat1 | missing | 1 1 4 10 34 106 376 1324 5020 19324 78256 323896 1393624 6137080 27898144 129735376 619921936 | +| 103 | HermiteE:Rev | TransSqrs | missing | 0 0 4 12 72 280 1320 5544 25312 112032 520560 2413840 11583264 56096352 279147232 1408172640 | +| 104 | HermiteE:Rev | PosHalf | A005425 | 1 2 5 14 43 142 499 1850 7193 29186 123109 538078 2430355 11317646 54229907 266906858 1347262321 | +| 105 | HermiteE:Rev | NegHalf | A005425 | 1 -2 5 -14 43 -142 499 -1850 7193 -29186 123109 -538078 2430355 -11317646 54229907 -266906858 | +| 106 | HermiteE:Rev | DiagRow1 | B123023 | 1 0 3 0 15 0 105 0 945 0 10395 0 135135 0 2027025 0 34459425 0 654729075 0 13749310575 0 | +| 107 | HermiteE:Rev | DiagRow2 | missing | 1 0 6 0 45 0 420 0 4725 0 62370 0 945945 0 16216200 0 310134825 0 6547290750 0 151242416325 0 | +| 108 | HermiteE:Rev | DiagRow3 | missing | 1 0 10 0 105 0 1260 0 17325 0 270270 0 4729725 0 91891800 0 1964187225 0 45831035250 0 | +| 109 | HermiteE:Rev | DiagCol2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 110 | HermiteE:Rev | Poly | missing | 1 1 1 1 1 1 1 2 1 1 1 4 5 1 1 1 10 13 10 1 1 1 26 73 28 17 1 1 1 76 281 298 49 26 1 1 1 232 1741 | +| 111 | HermiteE:Rev | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 112 | HermiteE:Rev | PolyRow3 | A056107 | 1 4 13 28 49 76 109 148 193 244 301 364 433 508 589 676 769 868 973 1084 1201 1324 1453 1588 1729 | +| 113 | HermiteE:Rev | PolyCol2 | A115329 | 1 1 5 13 73 281 1741 8485 57233 328753 2389141 15539261 120661465 866545993 7140942173 55667517781 | +| 114 | HermiteE:Rev | PolyCol3 | missing | 1 1 10 28 298 1306 14716 85240 1012348 7149628 89149816 732616336 9558448120 88681012408 | +| 115 | HermiteE:Rev | PolyDiag | A359739 | 1 1 5 28 865 9626 758701 12606280 1872570113 41351249980 9925656304501 273345587759696 | +| 116 | HermiteE:Inv | Triangle | A066325 | 1 0 1 -1 0 1 0 -3 0 1 3 0 -6 0 1 0 15 0 -10 0 1 -15 0 45 0 -15 0 1 0 -105 0 105 0 -21 0 1 105 0 | +| 117 | HermiteE:Inv | Rev | A073278 | 1 1 0 1 0 -1 1 0 -3 0 1 0 -6 0 3 1 0 -10 0 15 0 1 0 -15 0 45 0 -15 1 0 -21 0 105 0 -105 0 1 0 -28 0 | +| 118 | HermiteE:Inv | RevInv | A073278 | 1 1 0 1 0 1 1 0 3 0 1 0 6 0 3 1 0 10 0 15 0 1 0 15 0 45 0 15 1 0 21 0 105 0 105 0 1 0 28 0 210 0 | +| 119 | HermiteE:Inv | Acc | missing | 1 0 1 -1 -1 0 0 -3 -3 -2 3 3 -3 -3 -2 0 15 15 5 5 6 -15 -15 30 30 15 15 16 0 -105 -105 0 0 -21 -21 | +| 120 | HermiteE:Inv | AccRev | missing | 1 1 1 1 1 0 1 1 -2 -2 1 1 -5 -5 -2 1 1 -9 -9 6 6 1 1 -14 -14 31 31 16 1 1 -20 -20 85 85 -20 -20 1 1 | +| 121 | HermiteE:Inv | AntiDiag | missing | 1 0 -1 1 0 0 3 -3 1 0 0 0 -15 15 -6 1 0 0 0 0 105 -105 45 -10 1 0 0 0 0 0 -945 945 -420 105 -15 1 0 | +| 122 | HermiteE:Inv | Diffx1 | missing | 1 0 2 -1 0 3 0 -6 0 4 3 0 -18 0 5 0 30 0 -40 0 6 -15 0 135 0 -75 0 7 0 -210 0 420 0 -126 0 8 105 0 | +| 123 | HermiteE:Inv | RowSum | A001464 | 1 1 0 -2 -2 6 16 -20 -132 28 1216 936 -12440 -23672 138048 469456 -1601264 -9112560 18108928 | +| 124 | HermiteE:Inv | EvenSum | missing | 1 0 0 0 -2 0 16 0 -132 0 1216 0 -12440 0 138048 0 -1601264 0 18108928 0 -161934624 0 -404007680 0 | +| 125 | HermiteE:Inv | OddSum | missing | 0 1 0 -2 0 6 0 -20 0 28 0 936 0 -23672 0 469456 0 -9112560 0 182135008 0 -3804634784 0 83297957568 | +| 126 | HermiteE:Inv | AltSum | A001464 | 1 -1 0 2 -2 -6 16 20 -132 -28 1216 -936 -12440 23672 138048 -469456 -1601264 9112560 18108928 | +| 127 | HermiteE:Inv | DiagSum | missing | 1 0 0 0 1 0 -5 0 36 0 -329 0 3655 0 -47844 0 721315 0 -12310199 0 234615096 0 -4939227215 0 | +| 128 | HermiteE:Inv | AccSum | missing | 1 1 -2 -8 -2 46 76 -272 -1028 1468 13096 -2144 -172952 -169688 2402128 5440576 -34732784 -136804592 | +| 129 | HermiteE:Inv | AccRevSum | missing | 1 2 2 -2 -10 -4 52 92 -292 -1160 1496 14312 -1208 -185392 -193360 2540176 5910032 -36334048 | +| 130 | HermiteE:Inv | RowLcm | missing | 1 1 1 3 6 30 45 105 420 3780 9450 103950 623700 540540 945945 14189175 113513400 1929727800 | +| 131 | HermiteE:Inv | RowGcd | B069834 | 1 1 1 3 3 5 15 21 7 9 45 55 33 39 91 105 15 17 153 171 95 105 231 253 69 75 325 351 189 203 435 465 | +| 132 | HermiteE:Inv | RowMax | missing | 1 1 1 3 6 15 45 105 420 1260 4725 17325 62370 270270 945945 4729725 18918900 91891800 413513100 | +| 133 | HermiteE:Inv | ColMiddle | missing | 1 0 0 -3 -6 0 0 105 210 0 0 -6930 -13860 0 0 675675 1351350 0 0 -87297210 -174594420 0 0 | +| 134 | HermiteE:Inv | CentralE | missing | 1 0 -6 0 210 0 -13860 0 1351350 0 -174594420 0 28109701620 0 -5421156741000 0 | +| 135 | HermiteE:Inv | CentralO | missing | 0 -3 0 105 0 -6930 0 675675 0 -87297210 0 14054850810 0 -2710578370500 0 609202488769875 | +| 136 | HermiteE:Inv | ColLeft | A123023 | 1 0 -1 0 3 0 -15 0 105 0 -945 0 10395 0 -135135 0 2027025 0 -34459425 0 654729075 0 -13749310575 0 | +| 137 | HermiteE:Inv | BinConv | missing | 1 1 0 -8 -32 -24 436 2500 2262 -51002 -319544 -133704 9545680 55736032 -46326552 -2422602104 | +| 138 | HermiteE:Inv | InvBinConv | missing | 1 1 0 -8 -32 -24 436 2500 2262 -51002 -319544 -133704 9545680 55736032 -46326552 -2422602104 | +| 139 | HermiteE:Inv | TransNat0 | missing | 0 1 2 0 -8 -10 36 112 -160 -1188 280 13376 11232 -161720 -331408 2070720 7511296 -27221488 | +| 140 | HermiteE:Inv | TransNat1 | missing | 1 2 2 -2 -10 -4 52 92 -292 -1160 1496 14312 -1208 -185392 -193360 2540176 5910032 -36334048 | +| 141 | HermiteE:Inv | TransSqrs | missing | 0 1 4 6 -8 -50 -24 364 736 -2628 -11600 16456 171744 -15704 -2595488 -2900400 40642816 100470544 | +| 142 | HermiteE:Inv | PosHalf | A362176 | 1 1 -3 -11 25 201 -299 -5123 3249 167185 50221 -6637179 -8846903 309737689 769776645 -16575533939 | +| 143 | HermiteE:Inv | NegHalf | A362176 | 1 1 -3 -11 25 201 -299 -5123 3249 167185 50221 -6637179 -8846903 309737689 769776645 -16575533939 | +| 144 | HermiteE:Inv | DiagRow2 | A025731 | -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 -276 | +| 145 | HermiteE:Inv | DiagCol1 | B123023 | 1 0 -3 0 15 0 -105 0 945 0 -10395 0 135135 0 -2027025 0 34459425 0 -654729075 0 13749310575 0 | +| 146 | HermiteE:Inv | DiagCol2 | missing | 1 0 -6 0 45 0 -420 0 4725 0 -62370 0 945945 0 -16216200 0 310134825 0 -6547290750 0 151242416325 0 | +| 147 | HermiteE:Inv | DiagCol3 | missing | 1 0 -10 0 105 0 -1260 0 17325 0 -270270 0 4729725 0 -91891800 0 1964187225 0 -45831035250 0 | +| 148 | HermiteE:Inv | Poly | missing | 1 0 1 -1 1 1 0 0 2 1 3 -2 3 3 1 0 -2 2 8 4 1 -15 6 -5 18 15 5 1 0 16 -18 30 52 24 6 1 105 -20 -11 | +| 149 | HermiteE:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 150 | HermiteE:Inv | PolyRow2 | A131386 | -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 151 | HermiteE:Inv | PolyRow3 | A121670 | 0 -2 2 18 52 110 198 322 488 702 970 1298 1692 2158 2702 3330 4048 4862 5778 6802 7940 9198 10582 | +| 152 | HermiteE:Inv | PolyCol2 | missing | 1 2 3 2 -5 -18 -11 86 249 -190 -2621 -3342 22147 84398 -119115 -1419802 -1052879 20611074 59121091 | +| 153 | HermiteE:Inv | PolyCol3 | missing | 1 3 8 18 30 18 -96 -396 -516 1620 9504 12312 -67608 -350568 -172800 4389552 15760656 -22950864 | +| 154 | HermiteE:Inv | PolyDiag | A089466 | 1 1 3 18 163 1950 28821 505876 10270569 236644092 6098971555 173823708696 5427760272507 | +| 155 | HermiteE:Inv:Rev | Triangle | A073278 | 1 1 0 1 0 -1 1 0 -3 0 1 0 -6 0 3 1 0 -10 0 15 0 1 0 -15 0 45 0 -15 1 0 -21 0 105 0 -105 0 1 0 -28 0 | +| 156 | HermiteE:Inv:Rev | Rev | A066325 | 1 0 1 -1 0 1 0 -3 0 1 3 0 -6 0 1 0 15 0 -10 0 1 -15 0 45 0 -15 0 1 0 -105 0 105 0 -21 0 1 105 0 | +| 157 | HermiteE:Inv:Rev | InvRev | A066325 | 1 0 1 1 0 1 0 3 0 1 3 0 6 0 1 0 15 0 10 0 1 15 0 45 0 15 0 1 0 105 0 105 0 21 0 1 105 0 420 0 210 0 | +| 158 | HermiteE:Inv:Rev | Acc | missing | 1 1 1 1 1 0 1 1 -2 -2 1 1 -5 -5 -2 1 1 -9 -9 6 6 1 1 -14 -14 31 31 16 1 1 -20 -20 85 85 -20 -20 1 1 | +| 159 | HermiteE:Inv:Rev | AccRev | missing | 1 0 1 -1 -1 0 0 -3 -3 -2 3 3 -3 -3 -2 0 15 15 5 5 6 -15 -15 30 30 15 15 16 0 -105 -105 0 0 -21 -21 | +| 160 | HermiteE:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 0 1 0 -1 1 0 -3 1 0 -6 0 1 0 -10 0 1 0 -15 0 3 1 0 -21 0 15 1 0 -28 0 45 0 1 0 -36 0 105 | +| 161 | HermiteE:Inv:Rev | Diffx1 | missing | 1 1 0 1 0 -3 1 0 -9 0 1 0 -18 0 15 1 0 -30 0 75 0 1 0 -45 0 225 0 -105 1 0 -63 0 525 0 -735 0 1 0 | +| 162 | HermiteE:Inv:Rev | RowSum | A001464 | 1 1 0 -2 -2 6 16 -20 -132 28 1216 936 -12440 -23672 138048 469456 -1601264 -9112560 18108928 | +| 163 | HermiteE:Inv:Rev | EvenSum | A001464 | 1 1 0 -2 -2 6 16 -20 -132 28 1216 936 -12440 -23672 138048 469456 -1601264 -9112560 18108928 | +| 164 | HermiteE:Inv:Rev | AltSum | A001464 | 1 1 0 -2 -2 6 16 -20 -132 28 1216 936 -12440 -23672 138048 469456 -1601264 -9112560 18108928 | +| 165 | HermiteE:Inv:Rev | DiagSum | missing | 1 1 1 1 0 -2 -5 -9 -11 -5 18 70 151 219 145 -347 -1650 -3944 -6251 -4455 11293 56635 141816 231184 | +| 166 | HermiteE:Inv:Rev | AccSum | missing | 1 2 2 -2 -10 -4 52 92 -292 -1160 1496 14312 -1208 -185392 -193360 2540176 5910032 -36334048 | +| 167 | HermiteE:Inv:Rev | AccRevSum | missing | 1 1 -2 -8 -2 46 76 -272 -1028 1468 13096 -2144 -172952 -169688 2402128 5440576 -34732784 -136804592 | +| 168 | HermiteE:Inv:Rev | RowLcm | missing | 1 1 1 3 6 30 45 105 420 3780 9450 103950 623700 540540 945945 14189175 113513400 1929727800 | +| 169 | HermiteE:Inv:Rev | RowGcd | B069834 | 1 1 1 3 3 5 15 21 7 9 45 55 33 39 91 105 15 17 153 171 95 105 231 253 69 75 325 351 189 203 435 465 | +| 170 | HermiteE:Inv:Rev | RowMax | missing | 1 1 1 3 6 15 45 105 420 1260 4725 17325 62370 270270 945945 4729725 18918900 91891800 413513100 | +| 171 | HermiteE:Inv:Rev | ColMiddle | missing | 1 1 0 0 -6 -10 0 0 210 378 0 0 -13860 -25740 0 0 1351350 2552550 0 0 -174594420 -333316620 0 0 | +| 172 | HermiteE:Inv:Rev | CentralE | missing | 1 0 -6 0 210 0 -13860 0 1351350 0 -174594420 0 28109701620 0 -5421156741000 0 | +| 173 | HermiteE:Inv:Rev | CentralO | missing | 1 0 -10 0 378 0 -25740 0 2552550 0 -333316620 0 54057118500 0 -10480903032600 0 | +| 174 | HermiteE:Inv:Rev | ColRight | A123023 | 1 0 -1 0 3 0 -15 0 105 0 -945 0 10395 0 -135135 0 2027025 0 -34459425 0 654729075 0 -13749310575 0 | +| 175 | HermiteE:Inv:Rev | BinConv | missing | 1 1 0 -8 -32 -24 436 2500 2262 -51002 -319544 -133704 9545680 55736032 -46326552 -2422602104 | +| 176 | HermiteE:Inv:Rev | InvBinConv | missing | 1 -1 0 8 -32 24 436 -2500 2262 51002 -319544 133704 9545680 -55736032 -46326552 2422602104 | +| 177 | HermiteE:Inv:Rev | TransNat0 | missing | 0 0 -2 -6 0 40 60 -252 -896 1440 11880 -3080 -160512 -146016 2264080 4971120 -33131520 -127692032 | +| 178 | HermiteE:Inv:Rev | TransNat1 | missing | 1 1 -2 -8 -2 46 76 -272 -1028 1468 13096 -2144 -172952 -169688 2402128 5440576 -34732784 -136804592 | +| 179 | HermiteE:Inv:Rev | TransSqrs | missing | 0 0 -4 -12 24 200 120 -2184 -5152 21024 104400 -164560 -1889184 188448 33741344 40605600 -609642240 | +| 180 | HermiteE:Inv:Rev | PosHalf | missing | 1 2 3 2 -5 -18 -11 86 249 -190 -2621 -3342 22147 84398 -119115 -1419802 -1052879 20611074 59121091 | +| 181 | HermiteE:Inv:Rev | NegHalf | missing | 1 -2 3 -2 -5 18 -11 -86 249 190 -2621 3342 22147 -84398 -119115 1419802 -1052879 -20611074 59121091 | +| 182 | HermiteE:Inv:Rev | DiagRow1 | B123023 | 1 0 -3 0 15 0 -105 0 945 0 -10395 0 135135 0 -2027025 0 34459425 0 -654729075 0 13749310575 0 | +| 183 | HermiteE:Inv:Rev | DiagRow2 | missing | 1 0 -6 0 45 0 -420 0 4725 0 -62370 0 945945 0 -16216200 0 310134825 0 -6547290750 0 151242416325 0 | +| 184 | HermiteE:Inv:Rev | DiagRow3 | missing | 1 0 -10 0 105 0 -1260 0 17325 0 -270270 0 4729725 0 -91891800 0 1964187225 0 -45831035250 0 | +| 185 | HermiteE:Inv:Rev | DiagCol2 | A025731 | -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 -276 | +| 186 | HermiteE:Inv:Rev | Poly | missing | 1 1 1 1 1 1 1 0 1 1 1 -2 -3 1 1 1 -2 -11 -8 1 1 1 6 25 -26 -15 1 1 1 16 201 190 -47 -24 1 1 1 -20 | +| 187 | HermiteE:Inv:Rev | PolyRow2 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | +| 188 | HermiteE:Inv:Rev | PolyRow3 | A080663 | 1 -2 -11 -26 -47 -74 -107 -146 -191 -242 -299 -362 -431 -506 -587 -674 -767 -866 -971 -1082 -1199 | +| 189 | HermiteE:Inv:Rev | PolyCol2 | A362176 | 1 1 -3 -11 25 201 -299 -5123 3249 167185 50221 -6637179 -8846903 309737689 769776645 -16575533939 | +| 190 | HermiteE:Inv:Rev | PolyCol3 | missing | 1 1 -8 -26 190 1126 -7424 -68228 399484 5311900 -27046304 -505117304 2172466792 56725135624 | +| 191 | HermiteE:Inv:Rev | PolyDiag | missing | 1 1 -3 -26 673 9126 -642059 -12102068 1652365569 40012012828 -8980643704499 -265918023543864 | \ No newline at end of file diff --git a/data/md/HermiteH.md b/data/md/HermiteH.md index 0755383..357aa89 100644 --- a/data/md/HermiteH.md +++ b/data/md/HermiteH.md @@ -1,78 +1,117 @@ -| | triangle | trait | anum | seq | -|---:|:-------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | HermiteH:Std | Triangle | A060821 | 1 0 2 2 0 4 0 12 0 8 12 0 48 0 16 0 120 0 160 0 32 120 0 720 0 480 0 64 0 1680 0 3360 0 1344 0 128 | -| 1 | HermiteH:Std | Rev | missing | 1 2 0 4 0 2 8 0 12 0 16 0 48 0 12 32 0 160 0 120 0 64 0 480 0 720 0 120 128 0 1344 0 3360 0 1680 0 | -| 2 | HermiteH:Std | Acc | missing | 1 0 2 2 2 6 0 12 12 20 12 12 60 60 76 0 120 120 280 280 312 120 120 840 840 1320 1320 1384 0 1680 | -| 3 | HermiteH:Std | AccRev | missing | 1 2 2 4 4 6 8 8 20 20 16 16 64 64 76 32 32 192 192 312 312 64 64 544 544 1264 1264 1384 128 128 | -| 4 | HermiteH:Std | AntiDiag | missing | 1 0 2 2 0 0 12 12 4 0 0 0 120 120 48 8 0 0 0 0 1680 1680 720 160 16 0 0 0 0 0 30240 30240 13440 | -| 5 | HermiteH:Std | Diffx1 | missing | 1 0 4 2 0 12 0 24 0 32 12 0 144 0 80 0 240 0 640 0 192 120 0 2160 0 2400 0 448 0 3360 0 13440 0 | -| 6 | HermiteH:Std | RowSum | A000898 | 1 2 6 20 76 312 1384 6512 32400 168992 921184 5222208 30710464 186753920 1171979904 7573069568 | -| 7 | HermiteH:Std | EvenSum | missing | 1 0 6 0 76 0 1384 0 32400 0 921184 0 30710464 0 1171979904 0 50305536256 0 2396286830080 0 | -| 8 | HermiteH:Std | OddSum | missing | 0 2 0 20 0 312 0 6512 0 168992 0 5222208 0 186753920 0 7573069568 0 342949298688 0 17138748412928 0 | -| 9 | HermiteH:Std | AltSum | A000898 | 1 -2 6 -20 76 -312 1384 -6512 32400 -168992 921184 -5222208 30710464 -186753920 1171979904 | -| 10 | HermiteH:Std | DiagSum | missing | 1 0 4 0 28 0 296 0 4256 0 77792 0 1728448 0 45250816 0 1364438272 0 46571904512 0 1775190124544 0 | -| 11 | HermiteH:Std | AccSum | missing | 1 2 10 44 220 1112 5944 32720 187408 1106720 6753184 42400448 273903040 1816082816 12350588800 | -| 12 | HermiteH:Std | AccRevSum | missing | 1 4 14 56 236 1072 5128 25888 136592 752192 4301024 25488256 156043456 985225984 6401089664 | -| 13 | HermiteH:Std | RowLcm | missing | 1 2 4 24 48 480 2880 13440 53760 967680 4838400 106444800 638668800 1107025920 15498362880 | -| 14 | HermiteH:Std | RowGcd | A060546 | 1 2 2 4 4 8 8 16 16 32 32 64 64 128 128 256 256 512 512 1024 1024 2048 2048 4096 4096 8192 8192 | -| 15 | HermiteH:Std | RowMax | A277281 | 1 2 4 12 48 160 720 3360 13440 80640 403200 2217600 13305600 69189120 484323840 2905943040 | -| 16 | HermiteH:Std | ColMiddle | missing | 1 0 0 12 48 0 0 3360 13440 0 0 1774080 7096320 0 0 1383782400 5535129600 0 0 1430277488640 | -| 17 | HermiteH:Std | CentralE | missing | 1 0 48 0 13440 0 7096320 0 5535129600 0 5721109954560 0 7368789621473280 0 11368989701701632000 0 | -| 18 | HermiteH:Std | CentralO | missing | 0 12 0 3360 0 1774080 0 1383782400 0 1430277488640 0 1842197405368320 0 2842247425425408000 0 | -| 19 | HermiteH:Std | ColLeft | A067994 | 1 0 2 0 12 0 120 0 1680 0 30240 0 665280 0 17297280 0 518918400 0 17643225600 0 670442572800 0 | -| 20 | HermiteH:Std | ColRight | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 21 | HermiteH:Std | BinConv | missing | 1 2 6 44 316 2232 18184 157712 1419408 13474592 133216864 1363217088 14432480704 157455161216 | -| 22 | HermiteH:Std | InvBinConv | missing | 1 2 6 44 316 2232 18184 157712 1419408 13474592 133216864 1363217088 14432480704 157455161216 | -| 23 | HermiteH:Std | TransNat0 | missing | 0 2 8 36 160 760 3744 19376 104192 583200 3379840 20266048 125332992 798472064 5229109760 | -| 24 | HermiteH:Std | TransNat1 | missing | 1 4 14 56 236 1072 5128 25888 136592 752192 4301024 25488256 156043456 985225984 6401089664 | -| 25 | HermiteH:Std | TransSqrs | missing | 0 2 16 84 448 2360 12864 71792 414208 2458656 15043840 94622528 611718144 4057129856 27586327552 | -| 26 | HermiteH:Std | PosHalf | missing | 1 2 12 56 400 2592 21184 166784 1519872 13713920 136858624 1370830848 14785220608 161170202624 | -| 27 | HermiteH:Std | NegHalf | missing | 1 2 12 56 400 2592 21184 166784 1519872 13713920 136858624 1370830848 14785220608 161170202624 | -| 28 | HermiteH:Std | DiagRow2 | B001815 | 2 12 48 160 480 1344 3584 9216 23040 56320 135168 319488 745472 1720320 3932160 8912896 20054016 | -| 29 | HermiteH:Std | DiagCol1 | B067994 | 2 0 12 0 120 0 1680 0 30240 0 665280 0 17297280 0 518918400 0 17643225600 0 670442572800 0 | -| 30 | HermiteH:Std | DiagCol2 | missing | 4 0 48 0 720 0 13440 0 302400 0 7983360 0 242161920 0 8302694400 0 317578060800 0 13408851456000 0 | -| 31 | HermiteH:Std | DiagCol3 | missing | 8 0 160 0 3360 0 80640 0 2217600 0 69189120 0 2421619200 0 94097203200 0 4022655436800 0 | -| 32 | HermiteH:Std | Poly | missing | 1 0 1 2 2 1 0 6 4 1 12 20 18 6 1 0 76 88 38 8 1 120 312 460 252 66 10 1 0 1384 2544 1740 560 102 12 | -| 33 | HermiteH:Std | PolyRow1 | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 | -| 34 | HermiteH:Std | PolyRow2 | B005899 | 2 6 18 38 66 102 146 198 258 326 402 486 578 678 786 902 1026 1158 1298 1446 1602 1766 1938 2118 | -| 35 | HermiteH:Std | PolyRow3 | missing | 0 20 88 252 560 1060 1800 2828 4192 5940 8120 10780 13968 17732 22120 27180 32960 39508 46872 55100 | -| 36 | HermiteH:Std | PolyCol2 | A127394 | 1 4 18 88 460 2544 14776 89632 565392 3695680 24959776 173752704 1244125888 9146568448 68933546880 | -| 37 | HermiteH:Std | PolyCol3 | A079949 | 1 6 38 252 1740 12456 92136 702288 5503632 44258400 364615776 3072862656 26458723008 232501041792 | -| 38 | HermiteH:Std | PolyDiag | missing | 1 2 18 252 4876 120600 3634104 129166352 5290403472 245355218208 12709342270240 727284248906688 | -| 39 | HermiteH:Rev | Triangle | missing | 1 2 0 4 0 2 8 0 12 0 16 0 48 0 12 32 0 160 0 120 0 64 0 480 0 720 0 120 128 0 1344 0 3360 0 1680 0 | -| 40 | HermiteH:Rev | Acc | missing | 1 2 2 4 4 6 8 8 20 20 16 16 64 64 76 32 32 192 192 312 312 64 64 544 544 1264 1264 1384 128 128 | -| 41 | HermiteH:Rev | AccRev | missing | 1 0 2 2 2 6 0 12 12 20 12 12 60 60 76 0 120 120 280 280 312 120 120 840 840 1320 1320 1384 0 1680 | -| 42 | HermiteH:Rev | AntiDiag | missing | 1 2 4 0 8 0 16 0 2 32 0 12 64 0 48 0 128 0 160 0 256 0 480 0 12 512 0 1344 0 120 1024 0 3584 0 720 | -| 43 | HermiteH:Rev | Diffx1 | missing | 1 2 0 4 0 6 8 0 36 0 16 0 144 0 60 32 0 480 0 600 0 64 0 1440 0 3600 0 840 128 0 4032 0 16800 0 | -| 44 | HermiteH:Rev | RowSum | A000898 | 1 2 6 20 76 312 1384 6512 32400 168992 921184 5222208 30710464 186753920 1171979904 7573069568 | -| 45 | HermiteH:Rev | EvenSum | A000898 | 1 2 6 20 76 312 1384 6512 32400 168992 921184 5222208 30710464 186753920 1171979904 7573069568 | -| 46 | HermiteH:Rev | AltSum | A000898 | 1 2 6 20 76 312 1384 6512 32400 168992 921184 5222208 30710464 186753920 1171979904 7573069568 | -| 47 | HermiteH:Rev | DiagSum | missing | 1 2 4 8 18 44 112 288 748 1976 5328 14624 40696 114576 326272 939776 2736528 8048672 23893312 | -| 48 | HermiteH:Rev | AccSum | missing | 1 4 14 56 236 1072 5128 25888 136592 752192 4301024 25488256 156043456 985225984 6401089664 | -| 49 | HermiteH:Rev | AccRevSum | missing | 1 2 10 44 220 1112 5944 32720 187408 1106720 6753184 42400448 273903040 1816082816 12350588800 | -| 50 | HermiteH:Rev | RowLcm | missing | 1 2 4 24 48 480 2880 13440 53760 967680 4838400 106444800 638668800 1107025920 15498362880 | -| 51 | HermiteH:Rev | RowGcd | A060546 | 1 2 2 4 4 8 8 16 16 32 32 64 64 128 128 256 256 512 512 1024 1024 2048 2048 4096 4096 8192 8192 | -| 52 | HermiteH:Rev | RowMax | A277281 | 1 2 4 12 48 160 720 3360 13440 80640 403200 2217600 13305600 69189120 484323840 2905943040 | -| 53 | HermiteH:Rev | ColMiddle | missing | 1 2 0 0 48 160 0 0 13440 48384 0 0 7096320 26357760 0 0 5535129600 20910489600 0 0 5721109954560 | -| 54 | HermiteH:Rev | CentralE | missing | 1 0 48 0 13440 0 7096320 0 5535129600 0 5721109954560 0 7368789621473280 0 11368989701701632000 0 | -| 55 | HermiteH:Rev | CentralO | missing | 2 0 160 0 48384 0 26357760 0 20910489600 0 21844238008320 0 28341498544128000 0 | -| 56 | HermiteH:Rev | ColLeft | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 57 | HermiteH:Rev | ColRight | A067994 | 1 0 2 0 12 0 120 0 1680 0 30240 0 665280 0 17297280 0 518918400 0 17643225600 0 670442572800 0 | -| 58 | HermiteH:Rev | BinConv | missing | 1 2 6 44 316 2232 18184 157712 1419408 13474592 133216864 1363217088 14432480704 157455161216 | -| 59 | HermiteH:Rev | InvBinConv | missing | 1 -2 6 -44 316 -2232 18184 -157712 1419408 -13474592 133216864 -1363217088 14432480704 | -| 60 | HermiteH:Rev | TransNat0 | missing | 0 0 4 24 144 800 4560 26208 155008 937728 5832000 37178240 243192576 1629328896 11178608896 | -| 61 | HermiteH:Rev | TransNat1 | missing | 1 2 10 44 220 1112 5944 32720 187408 1106720 6753184 42400448 273903040 1816082816 12350588800 | -| 62 | HermiteH:Rev | TransSqrs | missing | 0 0 8 48 384 2560 17760 119616 820736 5649408 39565440 280656640 2026033152 14858268672 | -| 63 | HermiteH:Rev | PosHalf | A127394 | 1 4 18 88 460 2544 14776 89632 565392 3695680 24959776 173752704 1244125888 9146568448 68933546880 | -| 64 | HermiteH:Rev | NegHalf | A127394 | 1 -4 18 -88 460 -2544 14776 -89632 565392 -3695680 24959776 -173752704 1244125888 -9146568448 | -| 65 | HermiteH:Rev | DiagRow1 | B067994 | 2 0 12 0 120 0 1680 0 30240 0 665280 0 17297280 0 518918400 0 17643225600 0 670442572800 0 | -| 66 | HermiteH:Rev | DiagRow2 | missing | 4 0 48 0 720 0 13440 0 302400 0 7983360 0 242161920 0 8302694400 0 317578060800 0 13408851456000 0 | -| 67 | HermiteH:Rev | DiagRow3 | missing | 8 0 160 0 3360 0 80640 0 2217600 0 69189120 0 2421619200 0 94097203200 0 4022655436800 0 | -| 68 | HermiteH:Rev | DiagCol2 | B001815 | 2 12 48 160 480 1344 3584 9216 23040 56320 135168 319488 745472 1720320 3932160 8912896 20054016 | -| 69 | HermiteH:Rev | Poly | missing | 1 2 1 4 2 1 8 6 2 1 16 20 12 2 1 32 76 56 22 2 1 64 312 400 116 36 2 1 128 1384 2592 1420 200 54 2 | -| 70 | HermiteH:Rev | PolyRow1 | A007395 | 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | -| 71 | HermiteH:Rev | PolyRow2 | A255843 | 4 6 12 22 36 54 76 102 132 166 204 246 292 342 396 454 516 582 652 726 804 886 972 1062 1156 1254 | -| 72 | HermiteH:Rev | PolyRow3 | missing | 8 20 56 116 200 308 440 596 776 980 1208 1460 1736 2036 2360 2708 3080 3476 3896 4340 4808 5300 | -| 73 | HermiteH:Rev | PolyCol2 | missing | 1 2 12 56 400 2592 21184 166784 1519872 13713920 136858624 1370830848 14785220608 161170202624 | -| 74 | HermiteH:Rev | PolyCol3 | missing | 1 2 22 116 1420 11192 150184 1509104 21941392 261193760 4076893024 55168662848 917562144448 | -| 75 | HermiteH:Rev | PolyDiag | missing | 1 2 12 116 3856 79032 6549184 205783664 31764218112 1344906439712 333044815105024 17734162412044608 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:-------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | HermiteH:Std | Triangle | A060821 | 1 0 2 2 0 4 0 12 0 8 12 0 48 0 16 0 120 0 160 0 32 120 0 720 0 480 0 64 0 1680 0 3360 0 1344 0 128 | +| 1 | HermiteH:Std | Rev | missing | 1 2 0 4 0 2 8 0 12 0 16 0 48 0 12 32 0 160 0 120 0 64 0 480 0 720 0 120 128 0 1344 0 3360 0 1680 0 | +| 2 | HermiteH:Std | Acc | missing | 1 0 2 2 2 6 0 12 12 20 12 12 60 60 76 0 120 120 280 280 312 120 120 840 840 1320 1320 1384 0 1680 | +| 3 | HermiteH:Std | AccRev | missing | 1 2 2 4 4 6 8 8 20 20 16 16 64 64 76 32 32 192 192 312 312 64 64 544 544 1264 1264 1384 128 128 | +| 4 | HermiteH:Std | AntiDiag | missing | 1 0 2 2 0 0 12 12 4 0 0 0 120 120 48 8 0 0 0 0 1680 1680 720 160 16 0 0 0 0 0 30240 30240 13440 | +| 5 | HermiteH:Std | Diffx1 | missing | 1 0 4 2 0 12 0 24 0 32 12 0 144 0 80 0 240 0 640 0 192 120 0 2160 0 2400 0 448 0 3360 0 13440 0 | +| 6 | HermiteH:Std | RowSum | A000898 | 1 2 6 20 76 312 1384 6512 32400 168992 921184 5222208 30710464 186753920 1171979904 7573069568 | +| 7 | HermiteH:Std | EvenSum | missing | 1 0 6 0 76 0 1384 0 32400 0 921184 0 30710464 0 1171979904 0 50305536256 0 2396286830080 0 | +| 8 | HermiteH:Std | OddSum | missing | 0 2 0 20 0 312 0 6512 0 168992 0 5222208 0 186753920 0 7573069568 0 342949298688 0 17138748412928 0 | +| 9 | HermiteH:Std | AltSum | A000898 | 1 -2 6 -20 76 -312 1384 -6512 32400 -168992 921184 -5222208 30710464 -186753920 1171979904 | +| 10 | HermiteH:Std | DiagSum | missing | 1 0 4 0 28 0 296 0 4256 0 77792 0 1728448 0 45250816 0 1364438272 0 46571904512 0 1775190124544 0 | +| 11 | HermiteH:Std | AccSum | missing | 1 2 10 44 220 1112 5944 32720 187408 1106720 6753184 42400448 273903040 1816082816 12350588800 | +| 12 | HermiteH:Std | AccRevSum | missing | 1 4 14 56 236 1072 5128 25888 136592 752192 4301024 25488256 156043456 985225984 6401089664 | +| 13 | HermiteH:Std | RowLcm | missing | 1 2 4 24 48 480 2880 13440 53760 967680 4838400 106444800 638668800 1107025920 15498362880 | +| 14 | HermiteH:Std | RowGcd | A060546 | 1 2 2 4 4 8 8 16 16 32 32 64 64 128 128 256 256 512 512 1024 1024 2048 2048 4096 4096 8192 8192 | +| 15 | HermiteH:Std | RowMax | A277281 | 1 2 4 12 48 160 720 3360 13440 80640 403200 2217600 13305600 69189120 484323840 2905943040 | +| 16 | HermiteH:Std | ColMiddle | missing | 1 0 0 12 48 0 0 3360 13440 0 0 1774080 7096320 0 0 1383782400 5535129600 0 0 1430277488640 | +| 17 | HermiteH:Std | CentralE | missing | 1 0 48 0 13440 0 7096320 0 5535129600 0 5721109954560 0 7368789621473280 0 11368989701701632000 0 | +| 18 | HermiteH:Std | CentralO | missing | 0 12 0 3360 0 1774080 0 1383782400 0 1430277488640 0 1842197405368320 0 2842247425425408000 0 | +| 19 | HermiteH:Std | ColLeft | A067994 | 1 0 2 0 12 0 120 0 1680 0 30240 0 665280 0 17297280 0 518918400 0 17643225600 0 670442572800 0 | +| 20 | HermiteH:Std | ColRight | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 21 | HermiteH:Std | BinConv | missing | 1 2 6 44 316 2232 18184 157712 1419408 13474592 133216864 1363217088 14432480704 157455161216 | +| 22 | HermiteH:Std | InvBinConv | missing | 1 2 6 44 316 2232 18184 157712 1419408 13474592 133216864 1363217088 14432480704 157455161216 | +| 23 | HermiteH:Std | TransNat0 | missing | 0 2 8 36 160 760 3744 19376 104192 583200 3379840 20266048 125332992 798472064 5229109760 | +| 24 | HermiteH:Std | TransNat1 | missing | 1 4 14 56 236 1072 5128 25888 136592 752192 4301024 25488256 156043456 985225984 6401089664 | +| 25 | HermiteH:Std | TransSqrs | missing | 0 2 16 84 448 2360 12864 71792 414208 2458656 15043840 94622528 611718144 4057129856 27586327552 | +| 26 | HermiteH:Std | PosHalf | missing | 1 2 12 56 400 2592 21184 166784 1519872 13713920 136858624 1370830848 14785220608 161170202624 | +| 27 | HermiteH:Std | NegHalf | missing | 1 2 12 56 400 2592 21184 166784 1519872 13713920 136858624 1370830848 14785220608 161170202624 | +| 28 | HermiteH:Std | DiagRow2 | B001815 | 2 12 48 160 480 1344 3584 9216 23040 56320 135168 319488 745472 1720320 3932160 8912896 20054016 | +| 29 | HermiteH:Std | DiagCol1 | B067994 | 2 0 12 0 120 0 1680 0 30240 0 665280 0 17297280 0 518918400 0 17643225600 0 670442572800 0 | +| 30 | HermiteH:Std | DiagCol2 | missing | 4 0 48 0 720 0 13440 0 302400 0 7983360 0 242161920 0 8302694400 0 317578060800 0 13408851456000 0 | +| 31 | HermiteH:Std | DiagCol3 | missing | 8 0 160 0 3360 0 80640 0 2217600 0 69189120 0 2421619200 0 94097203200 0 4022655436800 0 | +| 32 | HermiteH:Std | Poly | missing | 1 0 1 2 2 1 0 6 4 1 12 20 18 6 1 0 76 88 38 8 1 120 312 460 252 66 10 1 0 1384 2544 1740 560 102 12 | +| 33 | HermiteH:Std | PolyRow1 | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 | +| 34 | HermiteH:Std | PolyRow2 | B005899 | 2 6 18 38 66 102 146 198 258 326 402 486 578 678 786 902 1026 1158 1298 1446 1602 1766 1938 2118 | +| 35 | HermiteH:Std | PolyRow3 | missing | 0 20 88 252 560 1060 1800 2828 4192 5940 8120 10780 13968 17732 22120 27180 32960 39508 46872 55100 | +| 36 | HermiteH:Std | PolyCol2 | A127394 | 1 4 18 88 460 2544 14776 89632 565392 3695680 24959776 173752704 1244125888 9146568448 68933546880 | +| 37 | HermiteH:Std | PolyCol3 | A079949 | 1 6 38 252 1740 12456 92136 702288 5503632 44258400 364615776 3072862656 26458723008 232501041792 | +| 38 | HermiteH:Std | PolyDiag | missing | 1 2 18 252 4876 120600 3634104 129166352 5290403472 245355218208 12709342270240 727284248906688 | +| 39 | HermiteH:Alt | Triangle | A060821 | 1 0 -2 2 0 4 0 -12 0 -8 12 0 48 0 16 0 -120 0 -160 0 -32 120 0 720 0 480 0 64 0 -1680 0 -3360 0 | +| 40 | HermiteH:Alt | Rev | missing | 1 -2 0 4 0 2 -8 0 -12 0 16 0 48 0 12 -32 0 -160 0 -120 0 64 0 480 0 720 0 120 -128 0 -1344 0 -3360 | +| 41 | HermiteH:Alt | Acc | missing | 1 0 -2 2 2 6 0 -12 -12 -20 12 12 60 60 76 0 -120 -120 -280 -280 -312 120 120 840 840 1320 1320 1384 | +| 42 | HermiteH:Alt | AccRev | missing | 1 -2 -2 4 4 6 -8 -8 -20 -20 16 16 64 64 76 -32 -32 -192 -192 -312 -312 64 64 544 544 1264 1264 1384 | +| 43 | HermiteH:Alt | AntiDiag | missing | 1 0 2 -2 0 0 12 -12 4 0 0 0 120 -120 48 -8 0 0 0 0 1680 -1680 720 -160 16 0 0 0 0 0 30240 -30240 | +| 44 | HermiteH:Alt | Diffx1 | missing | 1 0 -4 2 0 12 0 -24 0 -32 12 0 144 0 80 0 -240 0 -640 0 -192 120 0 2160 0 2400 0 448 0 -3360 0 | +| 45 | HermiteH:Alt | RowSum | A000898 | 1 -2 6 -20 76 -312 1384 -6512 32400 -168992 921184 -5222208 30710464 -186753920 1171979904 | +| 46 | HermiteH:Alt | EvenSum | missing | 1 0 6 0 76 0 1384 0 32400 0 921184 0 30710464 0 1171979904 0 50305536256 0 2396286830080 0 | +| 47 | HermiteH:Alt | OddSum | missing | 0 -2 0 -20 0 -312 0 -6512 0 -168992 0 -5222208 0 -186753920 0 -7573069568 0 -342949298688 0 | +| 48 | HermiteH:Alt | AltSum | A000898 | 1 2 6 20 76 312 1384 6512 32400 168992 921184 5222208 30710464 186753920 1171979904 7573069568 | +| 49 | HermiteH:Alt | DiagSum | missing | 1 0 0 0 4 0 40 0 576 0 10528 0 233920 0 6124032 0 184656640 0 6302821888 0 240245858304 0 | +| 50 | HermiteH:Alt | AccSum | missing | 1 -2 10 -44 220 -1112 5944 -32720 187408 -1106720 6753184 -42400448 273903040 -1816082816 | +| 51 | HermiteH:Alt | AccRevSum | missing | 1 -4 14 -56 236 -1072 5128 -25888 136592 -752192 4301024 -25488256 156043456 -985225984 6401089664 | +| 52 | HermiteH:Alt | RowLcm | missing | 1 2 4 24 48 480 2880 13440 53760 967680 4838400 106444800 638668800 1107025920 15498362880 | +| 53 | HermiteH:Alt | RowGcd | A060546 | 1 2 2 4 4 8 8 16 16 32 32 64 64 128 128 256 256 512 512 1024 1024 2048 2048 4096 4096 8192 8192 | +| 54 | HermiteH:Alt | RowMax | A277281 | 1 2 4 12 48 160 720 3360 13440 80640 403200 2217600 13305600 69189120 484323840 2905943040 | +| 55 | HermiteH:Alt | ColMiddle | missing | 1 0 0 -12 48 0 0 -3360 13440 0 0 -1774080 7096320 0 0 -1383782400 5535129600 0 0 -1430277488640 | +| 56 | HermiteH:Alt | CentralE | missing | 1 0 48 0 13440 0 7096320 0 5535129600 0 5721109954560 0 7368789621473280 0 11368989701701632000 0 | +| 57 | HermiteH:Alt | CentralO | missing | 0 -12 0 -3360 0 -1774080 0 -1383782400 0 -1430277488640 0 -1842197405368320 0 -2842247425425408000 | +| 58 | HermiteH:Alt | ColLeft | A067994 | 1 0 2 0 12 0 120 0 1680 0 30240 0 665280 0 17297280 0 518918400 0 17643225600 0 670442572800 0 | +| 59 | HermiteH:Alt | ColRight | A000079 | 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 -524288 | +| 60 | HermiteH:Alt | BinConv | missing | 1 -2 6 -44 316 -2232 18184 -157712 1419408 -13474592 133216864 -1363217088 14432480704 | +| 61 | HermiteH:Alt | InvBinConv | missing | 1 -2 6 -44 316 -2232 18184 -157712 1419408 -13474592 133216864 -1363217088 14432480704 | +| 62 | HermiteH:Alt | TransNat0 | missing | 0 -2 8 -36 160 -760 3744 -19376 104192 -583200 3379840 -20266048 125332992 -798472064 5229109760 | +| 63 | HermiteH:Alt | TransNat1 | missing | 1 -4 14 -56 236 -1072 5128 -25888 136592 -752192 4301024 -25488256 156043456 -985225984 6401089664 | +| 64 | HermiteH:Alt | TransSqrs | missing | 0 -2 16 -84 448 -2360 12864 -71792 414208 -2458656 15043840 -94622528 611718144 -4057129856 | +| 65 | HermiteH:Alt | PosHalf | missing | 1 -2 12 -56 400 -2592 21184 -166784 1519872 -13713920 136858624 -1370830848 14785220608 | +| 66 | HermiteH:Alt | NegHalf | missing | 1 -2 12 -56 400 -2592 21184 -166784 1519872 -13713920 136858624 -1370830848 14785220608 | +| 67 | HermiteH:Alt | DiagRow2 | B001815 | 2 -12 48 -160 480 -1344 3584 -9216 23040 -56320 135168 -319488 745472 -1720320 3932160 -8912896 | +| 68 | HermiteH:Alt | DiagCol1 | B067994 | -2 0 -12 0 -120 0 -1680 0 -30240 0 -665280 0 -17297280 0 -518918400 0 -17643225600 0 -670442572800 | +| 69 | HermiteH:Alt | DiagCol2 | missing | 4 0 48 0 720 0 13440 0 302400 0 7983360 0 242161920 0 8302694400 0 317578060800 0 13408851456000 0 | +| 70 | HermiteH:Alt | DiagCol3 | missing | -8 0 -160 0 -3360 0 -80640 0 -2217600 0 -69189120 0 -2421619200 0 -94097203200 0 -4022655436800 0 | +| 71 | HermiteH:Alt | Poly | missing | 1 0 1 2 -2 1 0 6 -4 1 12 -20 18 -6 1 0 76 -88 38 -8 1 120 -312 460 -252 66 -10 1 0 1384 -2544 1740 | +| 72 | HermiteH:Alt | PolyRow1 | A005843 | 0 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 | +| 73 | HermiteH:Alt | PolyRow2 | B005899 | 2 6 18 38 66 102 146 198 258 326 402 486 578 678 786 902 1026 1158 1298 1446 1602 1766 1938 2118 | +| 74 | HermiteH:Alt | PolyRow3 | missing | 0 -20 -88 -252 -560 -1060 -1800 -2828 -4192 -5940 -8120 -10780 -13968 -17732 -22120 -27180 -32960 | +| 75 | HermiteH:Alt | PolyCol2 | A127394 | 1 -4 18 -88 460 -2544 14776 -89632 565392 -3695680 24959776 -173752704 1244125888 -9146568448 | +| 76 | HermiteH:Alt | PolyCol3 | A079949 | 1 -6 38 -252 1740 -12456 92136 -702288 5503632 -44258400 364615776 -3072862656 26458723008 | +| 77 | HermiteH:Alt | PolyDiag | missing | 1 -2 18 -252 4876 -120600 3634104 -129166352 5290403472 -245355218208 12709342270240 | +| 78 | HermiteH:Rev | Triangle | missing | 1 2 0 4 0 2 8 0 12 0 16 0 48 0 12 32 0 160 0 120 0 64 0 480 0 720 0 120 128 0 1344 0 3360 0 1680 0 | +| 79 | HermiteH:Rev | Acc | missing | 1 2 2 4 4 6 8 8 20 20 16 16 64 64 76 32 32 192 192 312 312 64 64 544 544 1264 1264 1384 128 128 | +| 80 | HermiteH:Rev | AccRev | missing | 1 0 2 2 2 6 0 12 12 20 12 12 60 60 76 0 120 120 280 280 312 120 120 840 840 1320 1320 1384 0 1680 | +| 81 | HermiteH:Rev | AntiDiag | missing | 1 2 4 0 8 0 16 0 2 32 0 12 64 0 48 0 128 0 160 0 256 0 480 0 12 512 0 1344 0 120 1024 0 3584 0 720 | +| 82 | HermiteH:Rev | Diffx1 | missing | 1 2 0 4 0 6 8 0 36 0 16 0 144 0 60 32 0 480 0 600 0 64 0 1440 0 3600 0 840 128 0 4032 0 16800 0 | +| 83 | HermiteH:Rev | RowSum | A000898 | 1 2 6 20 76 312 1384 6512 32400 168992 921184 5222208 30710464 186753920 1171979904 7573069568 | +| 84 | HermiteH:Rev | EvenSum | A000898 | 1 2 6 20 76 312 1384 6512 32400 168992 921184 5222208 30710464 186753920 1171979904 7573069568 | +| 85 | HermiteH:Rev | AltSum | A000898 | 1 2 6 20 76 312 1384 6512 32400 168992 921184 5222208 30710464 186753920 1171979904 7573069568 | +| 86 | HermiteH:Rev | DiagSum | missing | 1 2 4 8 18 44 112 288 748 1976 5328 14624 40696 114576 326272 939776 2736528 8048672 23893312 | +| 87 | HermiteH:Rev | AccSum | missing | 1 4 14 56 236 1072 5128 25888 136592 752192 4301024 25488256 156043456 985225984 6401089664 | +| 88 | HermiteH:Rev | AccRevSum | missing | 1 2 10 44 220 1112 5944 32720 187408 1106720 6753184 42400448 273903040 1816082816 12350588800 | +| 89 | HermiteH:Rev | RowLcm | missing | 1 2 4 24 48 480 2880 13440 53760 967680 4838400 106444800 638668800 1107025920 15498362880 | +| 90 | HermiteH:Rev | RowGcd | A060546 | 1 2 2 4 4 8 8 16 16 32 32 64 64 128 128 256 256 512 512 1024 1024 2048 2048 4096 4096 8192 8192 | +| 91 | HermiteH:Rev | RowMax | A277281 | 1 2 4 12 48 160 720 3360 13440 80640 403200 2217600 13305600 69189120 484323840 2905943040 | +| 92 | HermiteH:Rev | ColMiddle | missing | 1 2 0 0 48 160 0 0 13440 48384 0 0 7096320 26357760 0 0 5535129600 20910489600 0 0 5721109954560 | +| 93 | HermiteH:Rev | CentralE | missing | 1 0 48 0 13440 0 7096320 0 5535129600 0 5721109954560 0 7368789621473280 0 11368989701701632000 0 | +| 94 | HermiteH:Rev | CentralO | missing | 2 0 160 0 48384 0 26357760 0 20910489600 0 21844238008320 0 28341498544128000 0 | +| 95 | HermiteH:Rev | ColLeft | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 96 | HermiteH:Rev | ColRight | A067994 | 1 0 2 0 12 0 120 0 1680 0 30240 0 665280 0 17297280 0 518918400 0 17643225600 0 670442572800 0 | +| 97 | HermiteH:Rev | BinConv | missing | 1 2 6 44 316 2232 18184 157712 1419408 13474592 133216864 1363217088 14432480704 157455161216 | +| 98 | HermiteH:Rev | InvBinConv | missing | 1 -2 6 -44 316 -2232 18184 -157712 1419408 -13474592 133216864 -1363217088 14432480704 | +| 99 | HermiteH:Rev | TransNat0 | missing | 0 0 4 24 144 800 4560 26208 155008 937728 5832000 37178240 243192576 1629328896 11178608896 | +| 100 | HermiteH:Rev | TransNat1 | missing | 1 2 10 44 220 1112 5944 32720 187408 1106720 6753184 42400448 273903040 1816082816 12350588800 | +| 101 | HermiteH:Rev | TransSqrs | missing | 0 0 8 48 384 2560 17760 119616 820736 5649408 39565440 280656640 2026033152 14858268672 | +| 102 | HermiteH:Rev | PosHalf | A127394 | 1 4 18 88 460 2544 14776 89632 565392 3695680 24959776 173752704 1244125888 9146568448 68933546880 | +| 103 | HermiteH:Rev | NegHalf | A127394 | 1 -4 18 -88 460 -2544 14776 -89632 565392 -3695680 24959776 -173752704 1244125888 -9146568448 | +| 104 | HermiteH:Rev | DiagRow1 | B067994 | 2 0 12 0 120 0 1680 0 30240 0 665280 0 17297280 0 518918400 0 17643225600 0 670442572800 0 | +| 105 | HermiteH:Rev | DiagRow2 | missing | 4 0 48 0 720 0 13440 0 302400 0 7983360 0 242161920 0 8302694400 0 317578060800 0 13408851456000 0 | +| 106 | HermiteH:Rev | DiagRow3 | missing | 8 0 160 0 3360 0 80640 0 2217600 0 69189120 0 2421619200 0 94097203200 0 4022655436800 0 | +| 107 | HermiteH:Rev | DiagCol2 | B001815 | 2 12 48 160 480 1344 3584 9216 23040 56320 135168 319488 745472 1720320 3932160 8912896 20054016 | +| 108 | HermiteH:Rev | Poly | missing | 1 2 1 4 2 1 8 6 2 1 16 20 12 2 1 32 76 56 22 2 1 64 312 400 116 36 2 1 128 1384 2592 1420 200 54 2 | +| 109 | HermiteH:Rev | PolyRow1 | A007395 | 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | +| 110 | HermiteH:Rev | PolyRow2 | A255843 | 4 6 12 22 36 54 76 102 132 166 204 246 292 342 396 454 516 582 652 726 804 886 972 1062 1156 1254 | +| 111 | HermiteH:Rev | PolyRow3 | missing | 8 20 56 116 200 308 440 596 776 980 1208 1460 1736 2036 2360 2708 3080 3476 3896 4340 4808 5300 | +| 112 | HermiteH:Rev | PolyCol2 | missing | 1 2 12 56 400 2592 21184 166784 1519872 13713920 136858624 1370830848 14785220608 161170202624 | +| 113 | HermiteH:Rev | PolyCol3 | missing | 1 2 22 116 1420 11192 150184 1509104 21941392 261193760 4076893024 55168662848 917562144448 | +| 114 | HermiteH:Rev | PolyDiag | missing | 1 2 12 116 3856 79032 6549184 205783664 31764218112 1344906439712 333044815105024 17734162412044608 | \ No newline at end of file diff --git a/data/md/LabeledGraphs.md b/data/md/LabeledGraphs.md index bc3635d..bb827ce 100644 --- a/data/md/LabeledGraphs.md +++ b/data/md/LabeledGraphs.md @@ -1,80 +1,120 @@ -| | triangle | trait | anum | seq | -|---:|:------------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | LabeledGraphs:Std | Triangle | A360603 | 1 0 1 0 1 1 0 2 2 4 0 8 6 12 38 0 64 32 48 152 728 0 1024 320 320 760 3640 26704 0 32768 6144 3840 | -| 1 | LabeledGraphs:Std | Rev | missing | 1 1 0 1 1 0 4 2 2 0 38 12 6 8 0 728 152 48 32 64 0 26704 3640 760 320 320 1024 0 1866256 160224 | -| 2 | LabeledGraphs:Std | Acc | A360860 | 1 0 1 0 1 2 0 2 4 8 0 8 14 26 64 0 64 96 144 296 1024 0 1024 1344 1664 2424 6064 32768 0 32768 | -| 3 | LabeledGraphs:Std | AccRev | missing | 1 1 1 1 2 2 4 6 8 8 38 50 56 64 64 728 880 928 960 1024 1024 26704 30344 31104 31424 31744 32768 | -| 4 | LabeledGraphs:Std | AntiDiag | missing | 1 0 0 1 0 1 0 2 1 0 8 2 0 64 6 4 0 1024 32 12 0 32768 320 48 38 0 2097152 6144 320 152 0 268435456 | -| 5 | LabeledGraphs:Std | Diffx1 | missing | 1 0 2 0 2 3 0 4 6 16 0 16 18 48 190 0 128 96 192 760 4368 0 2048 960 1280 3800 21840 186928 0 65536 | -| 6 | LabeledGraphs:Std | RowSum | A006125 | 1 1 2 8 64 1024 32768 2097152 268435456 68719476736 35184372088832 36028797018963968 | -| 7 | LabeledGraphs:Std | EvenSum | missing | 1 0 1 2 44 184 27784 172448 252984656 2043308416 34517335949056 345910021290752 | -| 8 | LabeledGraphs:Std | OddSum | missing | 0 1 1 6 20 840 4984 1924704 15450800 66676168320 667036139776 35682886997673216 428191046169662720 | -| 9 | LabeledGraphs:Std | AltSum | missing | 1 -1 0 -4 24 -656 22800 -1752256 237533856 -64632859904 33850299809280 -35336976976382464 | -| 10 | LabeledGraphs:Std | DiagSum | missing | 1 0 1 1 3 10 74 1068 33174 2103768 268670160 68736349688 35186791811616 36029484518264352 | -| 11 | LabeledGraphs:Std | AccSum | missing | 1 1 3 14 112 1624 45288 2561984 301180784 73287661696 36462899234816 36745066501115648 | -| 12 | LabeledGraphs:Std | AccRevSum | missing | 1 2 5 26 272 5544 216856 16312384 2383173776 682626582400 385749565831168 431629294745415936 | -| 13 | LabeledGraphs:Std | RowLcm | missing | 1 1 1 4 456 331968 14774789120 1243919045591040 8761370365451477754839040 | -| 14 | LabeledGraphs:Std | RowGcd | A060818 | 1 1 1 2 2 8 8 16 16 128 128 256 256 1024 1024 2048 2048 32768 32768 65536 65536 262144 262144 | -| 15 | LabeledGraphs:Std | RowMax | A001187 | 1 1 1 4 38 728 26704 1866256 251548592 66296291072 34496488594816 35641657548953344 | -| 16 | LabeledGraphs:Std | ColMiddle | missing | 1 0 1 2 6 32 320 3840 85120 2179072 93929472 5009571840 404266942464 44353858830336 | -| 17 | LabeledGraphs:Std | CentralE | missing | 1 1 6 320 85120 93929472 404266942464 6716119414996992 434520550032927621120 | -| 18 | LabeledGraphs:Std | CentralO | missing | 0 2 32 3840 2179072 5009571840 44353858830336 1504410748959326208 197755130326096837345280 | -| 19 | LabeledGraphs:Std | ColRight | A001187 | 1 1 1 4 38 728 26704 1866256 251548592 66296291072 34496488594816 35641657548953344 | -| 20 | LabeledGraphs:Std | BinConv | missing | 1 1 3 16 154 2608 77288 4152064 432852912 93188771456 42351673921280 40254010607690240 | -| 21 | LabeledGraphs:Std | InvBinConv | missing | 1 1 -1 4 -6 448 8520 1225280 157813936 53198838656 28623144198912 32496822305472512 | -| 22 | LabeledGraphs:Std | TransNat0 | missing | 0 1 3 18 208 4520 184088 14215232 2114738320 613907105664 350565193742336 395600497726451968 | -| 23 | LabeledGraphs:Std | TransNat1 | missing | 1 2 5 26 272 5544 216856 16312384 2383173776 682626582400 385749565831168 431629294745415936 | -| 24 | LabeledGraphs:Std | TransSqrs | missing | 0 1 5 46 748 21256 1069688 97949792 16789858864 5504829120128 3499292318766848 4347675930504128768 | -| 25 | LabeledGraphs:Std | PosHalf | missing | 1 1 3 16 150 2504 77472 4677904 571023120 142058571776 71626948215168 72752562631695616 | -| 26 | LabeledGraphs:Std | NegHalf | missing | 1 1 -1 8 -26 1384 -7744 3546512 -26869424 129383174656 -1231849323136 70662262709911808 | -| 27 | LabeledGraphs:Std | DiagRow1 | A053549 | 0 1 2 12 152 3640 160224 13063792 2012388736 596666619648 344964885948160 392058233038486784 | -| 28 | LabeledGraphs:Std | DiagRow2 | B275462 | 0 2 6 48 760 21840 1121568 104510336 18111498624 5966666196480 3794613745429760 4704698796461841408 | -| 29 | LabeledGraphs:Std | DiagRow3 | missing | 0 8 32 320 6080 203840 11963392 1254124032 241486648320 87511104215040 60713819926876160 | -| 30 | LabeledGraphs:Std | DiagCol1 | A006125 | 1 1 2 8 64 1024 32768 2097152 268435456 68719476736 35184372088832 36028797018963968 | -| 31 | LabeledGraphs:Std | DiagCol2 | B123903 | 1 2 6 32 320 6144 229376 16777216 2415919104 687194767360 387028092977152 432345564227567616 | -| 32 | LabeledGraphs:Std | DiagCol3 | missing | 4 12 48 320 3840 86016 3670016 301989888 48318382080 15118284881920 9288674231451648 | -| 33 | LabeledGraphs:Std | Poly | A360604 | 1 0 1 0 1 1 0 2 2 1 0 8 6 3 1 0 64 44 12 4 1 0 1024 744 132 20 5 1 0 32768 26368 3480 296 30 6 1 0 | -| 34 | LabeledGraphs:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 35 | LabeledGraphs:Std | PolyRow2 | A002378 | 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | -| 36 | LabeledGraphs:Std | PolyRow3 | missing | 0 8 44 132 296 560 948 1484 2192 3096 4220 5588 7224 9152 11396 13980 16928 20264 24012 28196 32840 | -| 37 | LabeledGraphs:Std | PolyCol2 | missing | 1 2 6 44 744 26368 1843584 250052096 66154070016 34473788096512 35634862681522176 | -| 38 | LabeledGraphs:Std | PolyCol3 | missing | 1 3 12 132 3480 190992 20427888 4204362048 1679865554400 1318352489511168 2048849340757704192 | -| 39 | LabeledGraphs:Std | PolyDiag | missing | 1 1 6 132 10624 2377120 1275278208 1556175768896 4247982935900160 25771674683328961536 | -| 40 | LabeledGraphs:Rev | Triangle | missing | 1 1 0 1 1 0 4 2 2 0 38 12 6 8 0 728 152 48 32 64 0 26704 3640 760 320 320 1024 0 1866256 160224 | -| 41 | LabeledGraphs:Rev | Acc | missing | 1 1 1 1 2 2 4 6 8 8 38 50 56 64 64 728 880 928 960 1024 1024 26704 30344 31104 31424 31744 32768 | -| 42 | LabeledGraphs:Rev | AccRev | A360860 | 1 0 1 0 1 2 0 2 4 8 0 8 14 26 64 0 64 96 144 296 1024 0 1024 1344 1664 2424 6064 32768 0 32768 | -| 43 | LabeledGraphs:Rev | AntiDiag | missing | 1 1 1 0 4 1 38 2 0 728 12 2 26704 152 6 0 1866256 3640 48 8 251548592 160224 760 32 0 66296291072 | -| 44 | LabeledGraphs:Rev | Diffx1 | missing | 1 1 0 1 2 0 4 4 6 0 38 24 18 32 0 728 304 144 128 320 0 26704 7280 2280 1280 1600 6144 0 1866256 | -| 45 | LabeledGraphs:Rev | RowSum | A006125 | 1 1 2 8 64 1024 32768 2097152 268435456 68719476736 35184372088832 36028797018963968 | -| 46 | LabeledGraphs:Rev | EvenSum | missing | 1 1 1 6 44 840 27784 1924704 252984656 66676168320 34517335949056 35682886997673216 | -| 47 | LabeledGraphs:Rev | OddSum | missing | 0 0 1 2 20 184 4984 172448 15450800 2043308416 667036139776 345910021290752 428191046169662720 | -| 48 | LabeledGraphs:Rev | AltSum | missing | 1 1 0 4 24 656 22800 1752256 237533856 64632859904 33850299809280 35336976976382464 | -| 49 | LabeledGraphs:Rev | DiagSum | missing | 1 1 1 5 40 742 26862 1869952 251709608 66309377088 34498502111520 35642254320292032 | -| 50 | LabeledGraphs:Rev | AccSum | missing | 1 2 5 26 272 5544 216856 16312384 2383173776 682626582400 385749565831168 431629294745415936 | -| 51 | LabeledGraphs:Rev | AccRevSum | missing | 1 1 3 14 112 1624 45288 2561984 301180784 73287661696 36462899234816 36745066501115648 | -| 52 | LabeledGraphs:Rev | RowLcm | missing | 1 1 1 4 456 331968 14774789120 1243919045591040 8761370365451477754839040 | -| 53 | LabeledGraphs:Rev | RowGcd | A060818 | 1 1 1 2 2 8 8 16 16 128 128 256 256 1024 1024 2048 2048 32768 32768 65536 65536 262144 262144 | -| 54 | LabeledGraphs:Rev | RowMax | A001187 | 1 1 1 4 38 728 26704 1866256 251548592 66296291072 34496488594816 35641657548953344 | -| 55 | LabeledGraphs:Rev | ColMiddle | missing | 1 1 1 2 6 48 320 6080 85120 3261440 93929472 6890913792 404266942464 56505812385792 | -| 56 | LabeledGraphs:Rev | CentralE | missing | 1 1 6 320 85120 93929472 404266942464 6716119414996992 434520550032927621120 | -| 57 | LabeledGraphs:Rev | CentralO | missing | 1 2 48 6080 3261440 6890913792 56505812385792 1810502291803865088 229038060859020898467840 | -| 58 | LabeledGraphs:Rev | ColLeft | A001187 | 1 1 1 4 38 728 26704 1866256 251548592 66296291072 34496488594816 35641657548953344 | -| 59 | LabeledGraphs:Rev | BinConv | missing | 1 1 3 16 154 2608 77288 4152064 432852912 93188771456 42351673921280 40254010607690240 | -| 60 | LabeledGraphs:Rev | InvBinConv | missing | 1 -1 -1 -4 -6 -448 8520 -1225280 157813936 -53198838656 28623144198912 -32496822305472512 | -| 61 | LabeledGraphs:Rev | TransNat0 | missing | 0 0 1 6 48 600 12520 464832 32745328 4568184960 1278527145984 716269482151680 800278188948651776 | -| 62 | LabeledGraphs:Rev | TransNat1 | missing | 1 1 3 14 112 1624 45288 2561984 301180784 73287661696 36462899234816 36745066501115648 | -| 63 | LabeledGraphs:Rev | TransSqrs | missing | 0 0 1 10 108 1656 40280 1696992 133914928 20778833792 6425652803328 3949419816825600 | -| 64 | LabeledGraphs:Rev | PosHalf | missing | 1 2 6 44 744 26368 1843584 250052096 66154070016 34473788096512 35634862681522176 | -| 65 | LabeledGraphs:Rev | NegHalf | missing | 1 -2 2 -28 520 -21248 1601408 -229299712 62786928640 -33441709801472 35023269286019072 | -| 66 | LabeledGraphs:Rev | DiagRow1 | A006125 | 1 1 2 8 64 1024 32768 2097152 268435456 68719476736 35184372088832 36028797018963968 | -| 67 | LabeledGraphs:Rev | DiagRow2 | B123903 | 1 2 6 32 320 6144 229376 16777216 2415919104 687194767360 387028092977152 432345564227567616 | -| 68 | LabeledGraphs:Rev | DiagRow3 | missing | 4 12 48 320 3840 86016 3670016 301989888 48318382080 15118284881920 9288674231451648 | -| 69 | LabeledGraphs:Rev | DiagCol1 | A053549 | 0 1 2 12 152 3640 160224 13063792 2012388736 596666619648 344964885948160 392058233038486784 | -| 70 | LabeledGraphs:Rev | DiagCol2 | B275462 | 0 2 6 48 760 21840 1121568 104510336 18111498624 5966666196480 3794613745429760 4704698796461841408 | -| 71 | LabeledGraphs:Rev | DiagCol3 | missing | 0 8 32 320 6080 203840 11963392 1254124032 241486648320 87511104215040 60713819926876160 | -| 72 | LabeledGraphs:Rev | Poly | missing | 1 1 1 1 1 1 4 2 1 1 38 8 3 1 1 728 64 16 4 1 1 26704 1024 150 28 5 1 1 1866256 32768 2504 344 44 6 | -| 73 | LabeledGraphs:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 74 | LabeledGraphs:Rev | PolyRow3 | A271649 | 4 8 16 28 44 64 88 116 148 184 224 268 316 368 424 484 548 616 688 764 844 928 1016 1108 1204 1304 | -| 75 | LabeledGraphs:Rev | PolyCol2 | missing | 1 1 3 16 150 2504 77472 4677904 571023120 142058571776 71626948215168 72752562631695616 | -| 76 | LabeledGraphs:Rev | PolyCol3 | missing | 1 1 4 28 344 7664 327856 28399552 5087820896 1874962992896 1405716628585984 2128210103786833408 | -| 77 | LabeledGraphs:Rev | PolyDiag | missing | 1 1 3 28 694 46688 8522368 3973747904 4461875482416 11637713146717184 68964248215522445696 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:------------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | LabeledGraphs:Std | Triangle | A360603 | 1 0 1 0 1 1 0 2 2 4 0 8 6 12 38 0 64 32 48 152 728 0 1024 320 320 760 3640 26704 0 32768 6144 3840 | +| 1 | LabeledGraphs:Std | Rev | missing | 1 1 0 1 1 0 4 2 2 0 38 12 6 8 0 728 152 48 32 64 0 26704 3640 760 320 320 1024 0 1866256 160224 | +| 2 | LabeledGraphs:Std | Acc | A360860 | 1 0 1 0 1 2 0 2 4 8 0 8 14 26 64 0 64 96 144 296 1024 0 1024 1344 1664 2424 6064 32768 0 32768 | +| 3 | LabeledGraphs:Std | AccRev | missing | 1 1 1 1 2 2 4 6 8 8 38 50 56 64 64 728 880 928 960 1024 1024 26704 30344 31104 31424 31744 32768 | +| 4 | LabeledGraphs:Std | AntiDiag | missing | 1 0 0 1 0 1 0 2 1 0 8 2 0 64 6 4 0 1024 32 12 0 32768 320 48 38 0 2097152 6144 320 152 0 268435456 | +| 5 | LabeledGraphs:Std | Diffx1 | missing | 1 0 2 0 2 3 0 4 6 16 0 16 18 48 190 0 128 96 192 760 4368 0 2048 960 1280 3800 21840 186928 0 65536 | +| 6 | LabeledGraphs:Std | RowSum | A006125 | 1 1 2 8 64 1024 32768 2097152 268435456 68719476736 35184372088832 36028797018963968 | +| 7 | LabeledGraphs:Std | EvenSum | missing | 1 0 1 2 44 184 27784 172448 252984656 2043308416 34517335949056 345910021290752 | +| 8 | LabeledGraphs:Std | OddSum | missing | 0 1 1 6 20 840 4984 1924704 15450800 66676168320 667036139776 35682886997673216 428191046169662720 | +| 9 | LabeledGraphs:Std | AltSum | missing | 1 -1 0 -4 24 -656 22800 -1752256 237533856 -64632859904 33850299809280 -35336976976382464 | +| 10 | LabeledGraphs:Std | DiagSum | missing | 1 0 1 1 3 10 74 1068 33174 2103768 268670160 68736349688 35186791811616 36029484518264352 | +| 11 | LabeledGraphs:Std | AccSum | missing | 1 1 3 14 112 1624 45288 2561984 301180784 73287661696 36462899234816 36745066501115648 | +| 12 | LabeledGraphs:Std | AccRevSum | missing | 1 2 5 26 272 5544 216856 16312384 2383173776 682626582400 385749565831168 431629294745415936 | +| 13 | LabeledGraphs:Std | RowLcm | missing | 1 1 1 4 456 331968 14774789120 1243919045591040 8761370365451477754839040 | +| 14 | LabeledGraphs:Std | RowGcd | A060818 | 1 1 1 2 2 8 8 16 16 128 128 256 256 1024 1024 2048 2048 32768 32768 65536 65536 262144 262144 | +| 15 | LabeledGraphs:Std | RowMax | A001187 | 1 1 1 4 38 728 26704 1866256 251548592 66296291072 34496488594816 35641657548953344 | +| 16 | LabeledGraphs:Std | ColMiddle | missing | 1 0 1 2 6 32 320 3840 85120 2179072 93929472 5009571840 404266942464 44353858830336 | +| 17 | LabeledGraphs:Std | CentralE | missing | 1 1 6 320 85120 93929472 404266942464 6716119414996992 434520550032927621120 | +| 18 | LabeledGraphs:Std | CentralO | missing | 0 2 32 3840 2179072 5009571840 44353858830336 1504410748959326208 197755130326096837345280 | +| 19 | LabeledGraphs:Std | ColRight | A001187 | 1 1 1 4 38 728 26704 1866256 251548592 66296291072 34496488594816 35641657548953344 | +| 20 | LabeledGraphs:Std | BinConv | missing | 1 1 3 16 154 2608 77288 4152064 432852912 93188771456 42351673921280 40254010607690240 | +| 21 | LabeledGraphs:Std | InvBinConv | missing | 1 1 -1 4 -6 448 8520 1225280 157813936 53198838656 28623144198912 32496822305472512 | +| 22 | LabeledGraphs:Std | TransNat0 | missing | 0 1 3 18 208 4520 184088 14215232 2114738320 613907105664 350565193742336 395600497726451968 | +| 23 | LabeledGraphs:Std | TransNat1 | missing | 1 2 5 26 272 5544 216856 16312384 2383173776 682626582400 385749565831168 431629294745415936 | +| 24 | LabeledGraphs:Std | TransSqrs | missing | 0 1 5 46 748 21256 1069688 97949792 16789858864 5504829120128 3499292318766848 4347675930504128768 | +| 25 | LabeledGraphs:Std | PosHalf | missing | 1 1 3 16 150 2504 77472 4677904 571023120 142058571776 71626948215168 72752562631695616 | +| 26 | LabeledGraphs:Std | NegHalf | missing | 1 1 -1 8 -26 1384 -7744 3546512 -26869424 129383174656 -1231849323136 70662262709911808 | +| 27 | LabeledGraphs:Std | DiagRow1 | A053549 | 0 1 2 12 152 3640 160224 13063792 2012388736 596666619648 344964885948160 392058233038486784 | +| 28 | LabeledGraphs:Std | DiagRow2 | B275462 | 0 2 6 48 760 21840 1121568 104510336 18111498624 5966666196480 3794613745429760 4704698796461841408 | +| 29 | LabeledGraphs:Std | DiagRow3 | missing | 0 8 32 320 6080 203840 11963392 1254124032 241486648320 87511104215040 60713819926876160 | +| 30 | LabeledGraphs:Std | DiagCol1 | A006125 | 1 1 2 8 64 1024 32768 2097152 268435456 68719476736 35184372088832 36028797018963968 | +| 31 | LabeledGraphs:Std | DiagCol2 | B123903 | 1 2 6 32 320 6144 229376 16777216 2415919104 687194767360 387028092977152 432345564227567616 | +| 32 | LabeledGraphs:Std | DiagCol3 | missing | 4 12 48 320 3840 86016 3670016 301989888 48318382080 15118284881920 9288674231451648 | +| 33 | LabeledGraphs:Std | Poly | A360604 | 1 0 1 0 1 1 0 2 2 1 0 8 6 3 1 0 64 44 12 4 1 0 1024 744 132 20 5 1 0 32768 26368 3480 296 30 6 1 0 | +| 34 | LabeledGraphs:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 35 | LabeledGraphs:Std | PolyRow2 | A002378 | 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | +| 36 | LabeledGraphs:Std | PolyRow3 | missing | 0 8 44 132 296 560 948 1484 2192 3096 4220 5588 7224 9152 11396 13980 16928 20264 24012 28196 32840 | +| 37 | LabeledGraphs:Std | PolyCol2 | missing | 1 2 6 44 744 26368 1843584 250052096 66154070016 34473788096512 35634862681522176 | +| 38 | LabeledGraphs:Std | PolyCol3 | missing | 1 3 12 132 3480 190992 20427888 4204362048 1679865554400 1318352489511168 2048849340757704192 | +| 39 | LabeledGraphs:Std | PolyDiag | missing | 1 1 6 132 10624 2377120 1275278208 1556175768896 4247982935900160 25771674683328961536 | +| 40 | LabeledGraphs:Alt | Triangle | A360603 | 1 0 -1 0 -1 1 0 -2 2 -4 0 -8 6 -12 38 0 -64 32 -48 152 -728 0 -1024 320 -320 760 -3640 26704 0 | +| 41 | LabeledGraphs:Alt | Rev | missing | 1 -1 0 1 -1 0 -4 2 -2 0 38 -12 6 -8 0 -728 152 -48 32 -64 0 26704 -3640 760 -320 320 -1024 0 | +| 42 | LabeledGraphs:Alt | Acc | missing | 1 0 -1 0 -1 0 0 -2 0 -4 0 -8 -2 -14 24 0 -64 -32 -80 72 -656 0 -1024 -704 -1024 -264 -3904 22800 0 | +| 43 | LabeledGraphs:Alt | AccRev | missing | 1 -1 -1 1 0 0 -4 -2 -4 -4 38 26 32 24 24 -728 -576 -624 -592 -656 -656 26704 23064 23824 23504 | +| 44 | LabeledGraphs:Alt | AntiDiag | missing | 1 0 0 -1 0 -1 0 -2 1 0 -8 2 0 -64 6 -4 0 -1024 32 -12 0 -32768 320 -48 38 0 -2097152 6144 -320 152 | +| 45 | LabeledGraphs:Alt | Diffx1 | missing | 1 0 -2 0 -2 3 0 -4 6 -16 0 -16 18 -48 190 0 -128 96 -192 760 -4368 0 -2048 960 -1280 3800 -21840 | +| 46 | LabeledGraphs:Alt | RowSum | missing | 1 -1 0 -4 24 -656 22800 -1752256 237533856 -64632859904 33850299809280 -35336976976382464 | +| 47 | LabeledGraphs:Alt | EvenSum | missing | 1 0 1 2 44 184 27784 172448 252984656 2043308416 34517335949056 345910021290752 | +| 48 | LabeledGraphs:Alt | OddSum | missing | 0 -1 -1 -6 -20 -840 -4984 -1924704 -15450800 -66676168320 -667036139776 -35682886997673216 | +| 49 | LabeledGraphs:Alt | AltSum | A006125 | 1 1 2 8 64 1024 32768 2097152 268435456 68719476736 35184372088832 36028797018963968 | +| 50 | LabeledGraphs:Alt | DiagSum | missing | 1 0 -1 -1 -1 -6 -62 -1004 -32458 -2091176 -268209888 -68702783096 -35181959749760 | +| 51 | LabeledGraphs:Alt | AccSum | missing | 1 -1 -1 -6 0 -760 15880 -1798720 212708272 -64847815296 32685851237376 -35349295469613824 | +| 52 | LabeledGraphs:Alt | AccRevSum | missing | 1 -2 1 -14 144 -3832 166520 -13971584 2162630288 -646113643648 373517746473984 -424031405223358208 | +| 53 | LabeledGraphs:Alt | RowLcm | missing | 1 1 1 4 456 331968 14774789120 1243919045591040 8761370365451477754839040 | +| 54 | LabeledGraphs:Alt | RowGcd | A060818 | 1 1 1 2 2 8 8 16 16 128 128 256 256 1024 1024 2048 2048 32768 32768 65536 65536 262144 262144 | +| 55 | LabeledGraphs:Alt | RowMax | A001187 | 1 1 1 4 38 728 26704 1866256 251548592 66296291072 34496488594816 35641657548953344 | +| 56 | LabeledGraphs:Alt | ColMiddle | missing | 1 0 -1 -2 6 32 -320 -3840 85120 2179072 -93929472 -5009571840 404266942464 44353858830336 | +| 57 | LabeledGraphs:Alt | CentralE | missing | 1 -1 6 -320 85120 -93929472 404266942464 -6716119414996992 434520550032927621120 | +| 58 | LabeledGraphs:Alt | CentralO | missing | 0 -2 32 -3840 2179072 -5009571840 44353858830336 -1504410748959326208 197755130326096837345280 | +| 59 | LabeledGraphs:Alt | ColRight | A001187 | 1 -1 1 -4 38 -728 26704 -1866256 251548592 -66296291072 34496488594816 -35641657548953344 | +| 60 | LabeledGraphs:Alt | BinConv | missing | 1 -1 -1 -4 -6 -448 8520 -1225280 157813936 -53198838656 28623144198912 -32496822305472512 | +| 61 | LabeledGraphs:Alt | InvBinConv | missing | 1 -1 3 -16 154 -2608 77288 -4152064 432852912 -93188771456 42351673921280 -40254010607690240 | +| 62 | LabeledGraphs:Alt | TransNat0 | missing | 0 -1 1 -10 120 -3176 143720 -12219328 1925096432 -581480783744 339667446664704 -388694428246975744 | +| 63 | LabeledGraphs:Alt | TransNat1 | missing | 1 -2 1 -14 144 -3832 166520 -13971584 2162630288 -646113643648 373517746473984 -424031405223358208 | +| 64 | LabeledGraphs:Alt | TransSqrs | missing | 0 -1 3 -30 516 -16136 879880 -86169952 15493672656 -5246178049664 3402361850983680 | +| 65 | LabeledGraphs:Alt | PosHalf | missing | 1 -1 -1 -8 -26 -1384 -7744 -3546512 -26869424 -129383174656 -1231849323136 -70662262709911808 | +| 66 | LabeledGraphs:Alt | NegHalf | missing | 1 -1 3 -16 150 -2504 77472 -4677904 571023120 -142058571776 71626948215168 -72752562631695616 | +| 67 | LabeledGraphs:Alt | DiagRow1 | A053549 | 0 -1 2 -12 152 -3640 160224 -13063792 2012388736 -596666619648 344964885948160 -392058233038486784 | +| 68 | LabeledGraphs:Alt | DiagRow2 | B275462 | 0 -2 6 -48 760 -21840 1121568 -104510336 18111498624 -5966666196480 3794613745429760 | +| 69 | LabeledGraphs:Alt | DiagRow3 | missing | 0 -8 32 -320 6080 -203840 11963392 -1254124032 241486648320 -87511104215040 60713819926876160 | +| 70 | LabeledGraphs:Alt | DiagCol1 | A006125 | -1 -1 -2 -8 -64 -1024 -32768 -2097152 -268435456 -68719476736 -35184372088832 -36028797018963968 | +| 71 | LabeledGraphs:Alt | DiagCol2 | B123903 | 1 2 6 32 320 6144 229376 16777216 2415919104 687194767360 387028092977152 432345564227567616 | +| 72 | LabeledGraphs:Alt | DiagCol3 | missing | -4 -12 -48 -320 -3840 -86016 -3670016 -301989888 -48318382080 -15118284881920 -9288674231451648 | +| 73 | LabeledGraphs:Alt | Poly | missing | 1 0 1 0 -1 1 0 0 -2 1 0 -4 2 -3 1 0 24 -28 6 -4 1 0 -656 520 -96 12 -5 1 0 22800 -21248 2784 -232 | +| 74 | LabeledGraphs:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | LabeledGraphs:Alt | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 76 | LabeledGraphs:Alt | PolyRow3 | missing | 0 -4 -28 -96 -232 -460 -804 -1288 -1936 -2772 -3820 -5104 -6648 -8476 -10612 -13080 -15904 -19108 | +| 77 | LabeledGraphs:Alt | PolyCol2 | missing | 1 -2 2 -28 520 -21248 1601408 -229299712 62786928640 -33441709801472 35023269286019072 | +| 78 | LabeledGraphs:Alt | PolyCol3 | missing | 1 -3 6 -96 2784 -165792 18635424 -3969659904 1622608234176 -1291927826892288 2025355002796087296 | +| 79 | LabeledGraphs:Alt | PolyDiag | missing | 1 -1 2 -96 9024 -2185520 1218518400 -1518445583872 4193175940366336 -25598408463418984704 | +| 80 | LabeledGraphs:Rev | Triangle | missing | 1 1 0 1 1 0 4 2 2 0 38 12 6 8 0 728 152 48 32 64 0 26704 3640 760 320 320 1024 0 1866256 160224 | +| 81 | LabeledGraphs:Rev | Acc | missing | 1 1 1 1 2 2 4 6 8 8 38 50 56 64 64 728 880 928 960 1024 1024 26704 30344 31104 31424 31744 32768 | +| 82 | LabeledGraphs:Rev | AccRev | A360860 | 1 0 1 0 1 2 0 2 4 8 0 8 14 26 64 0 64 96 144 296 1024 0 1024 1344 1664 2424 6064 32768 0 32768 | +| 83 | LabeledGraphs:Rev | AntiDiag | missing | 1 1 1 0 4 1 38 2 0 728 12 2 26704 152 6 0 1866256 3640 48 8 251548592 160224 760 32 0 66296291072 | +| 84 | LabeledGraphs:Rev | Diffx1 | missing | 1 1 0 1 2 0 4 4 6 0 38 24 18 32 0 728 304 144 128 320 0 26704 7280 2280 1280 1600 6144 0 1866256 | +| 85 | LabeledGraphs:Rev | RowSum | A006125 | 1 1 2 8 64 1024 32768 2097152 268435456 68719476736 35184372088832 36028797018963968 | +| 86 | LabeledGraphs:Rev | EvenSum | missing | 1 1 1 6 44 840 27784 1924704 252984656 66676168320 34517335949056 35682886997673216 | +| 87 | LabeledGraphs:Rev | OddSum | missing | 0 0 1 2 20 184 4984 172448 15450800 2043308416 667036139776 345910021290752 428191046169662720 | +| 88 | LabeledGraphs:Rev | AltSum | missing | 1 1 0 4 24 656 22800 1752256 237533856 64632859904 33850299809280 35336976976382464 | +| 89 | LabeledGraphs:Rev | DiagSum | missing | 1 1 1 5 40 742 26862 1869952 251709608 66309377088 34498502111520 35642254320292032 | +| 90 | LabeledGraphs:Rev | AccSum | missing | 1 2 5 26 272 5544 216856 16312384 2383173776 682626582400 385749565831168 431629294745415936 | +| 91 | LabeledGraphs:Rev | AccRevSum | missing | 1 1 3 14 112 1624 45288 2561984 301180784 73287661696 36462899234816 36745066501115648 | +| 92 | LabeledGraphs:Rev | RowLcm | missing | 1 1 1 4 456 331968 14774789120 1243919045591040 8761370365451477754839040 | +| 93 | LabeledGraphs:Rev | RowGcd | A060818 | 1 1 1 2 2 8 8 16 16 128 128 256 256 1024 1024 2048 2048 32768 32768 65536 65536 262144 262144 | +| 94 | LabeledGraphs:Rev | RowMax | A001187 | 1 1 1 4 38 728 26704 1866256 251548592 66296291072 34496488594816 35641657548953344 | +| 95 | LabeledGraphs:Rev | ColMiddle | missing | 1 1 1 2 6 48 320 6080 85120 3261440 93929472 6890913792 404266942464 56505812385792 | +| 96 | LabeledGraphs:Rev | CentralE | missing | 1 1 6 320 85120 93929472 404266942464 6716119414996992 434520550032927621120 | +| 97 | LabeledGraphs:Rev | CentralO | missing | 1 2 48 6080 3261440 6890913792 56505812385792 1810502291803865088 229038060859020898467840 | +| 98 | LabeledGraphs:Rev | ColLeft | A001187 | 1 1 1 4 38 728 26704 1866256 251548592 66296291072 34496488594816 35641657548953344 | +| 99 | LabeledGraphs:Rev | BinConv | missing | 1 1 3 16 154 2608 77288 4152064 432852912 93188771456 42351673921280 40254010607690240 | +| 100 | LabeledGraphs:Rev | InvBinConv | missing | 1 -1 -1 -4 -6 -448 8520 -1225280 157813936 -53198838656 28623144198912 -32496822305472512 | +| 101 | LabeledGraphs:Rev | TransNat0 | missing | 0 0 1 6 48 600 12520 464832 32745328 4568184960 1278527145984 716269482151680 800278188948651776 | +| 102 | LabeledGraphs:Rev | TransNat1 | missing | 1 1 3 14 112 1624 45288 2561984 301180784 73287661696 36462899234816 36745066501115648 | +| 103 | LabeledGraphs:Rev | TransSqrs | missing | 0 0 1 10 108 1656 40280 1696992 133914928 20778833792 6425652803328 3949419816825600 | +| 104 | LabeledGraphs:Rev | PosHalf | missing | 1 2 6 44 744 26368 1843584 250052096 66154070016 34473788096512 35634862681522176 | +| 105 | LabeledGraphs:Rev | NegHalf | missing | 1 -2 2 -28 520 -21248 1601408 -229299712 62786928640 -33441709801472 35023269286019072 | +| 106 | LabeledGraphs:Rev | DiagRow1 | A006125 | 1 1 2 8 64 1024 32768 2097152 268435456 68719476736 35184372088832 36028797018963968 | +| 107 | LabeledGraphs:Rev | DiagRow2 | B123903 | 1 2 6 32 320 6144 229376 16777216 2415919104 687194767360 387028092977152 432345564227567616 | +| 108 | LabeledGraphs:Rev | DiagRow3 | missing | 4 12 48 320 3840 86016 3670016 301989888 48318382080 15118284881920 9288674231451648 | +| 109 | LabeledGraphs:Rev | DiagCol1 | A053549 | 0 1 2 12 152 3640 160224 13063792 2012388736 596666619648 344964885948160 392058233038486784 | +| 110 | LabeledGraphs:Rev | DiagCol2 | B275462 | 0 2 6 48 760 21840 1121568 104510336 18111498624 5966666196480 3794613745429760 4704698796461841408 | +| 111 | LabeledGraphs:Rev | DiagCol3 | missing | 0 8 32 320 6080 203840 11963392 1254124032 241486648320 87511104215040 60713819926876160 | +| 112 | LabeledGraphs:Rev | Poly | missing | 1 1 1 1 1 1 4 2 1 1 38 8 3 1 1 728 64 16 4 1 1 26704 1024 150 28 5 1 1 1866256 32768 2504 344 44 6 | +| 113 | LabeledGraphs:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 114 | LabeledGraphs:Rev | PolyRow3 | A271649 | 4 8 16 28 44 64 88 116 148 184 224 268 316 368 424 484 548 616 688 764 844 928 1016 1108 1204 1304 | +| 115 | LabeledGraphs:Rev | PolyCol2 | missing | 1 1 3 16 150 2504 77472 4677904 571023120 142058571776 71626948215168 72752562631695616 | +| 116 | LabeledGraphs:Rev | PolyCol3 | missing | 1 1 4 28 344 7664 327856 28399552 5087820896 1874962992896 1405716628585984 2128210103786833408 | +| 117 | LabeledGraphs:Rev | PolyDiag | missing | 1 1 3 28 694 46688 8522368 3973747904 4461875482416 11637713146717184 68964248215522445696 | \ No newline at end of file diff --git a/data/md/Laguerre.md b/data/md/Laguerre.md index 440c0dd..ee55123 100644 --- a/data/md/Laguerre.md +++ b/data/md/Laguerre.md @@ -42,125 +42,167 @@ | 39 | Laguerre:Std | PolyCol2 | A087912 | 1 3 14 86 648 5752 58576 671568 8546432 119401856 1815177984 29808908032 525586164736 9898343691264 | | 40 | Laguerre:Std | PolyCol3 | A277382 | 1 4 23 168 1473 14988 173007 2228544 31636449 490102164 8219695239 148262469336 2860241078817 | | 41 | Laguerre:Std | PolyDiag | A277373 | 1 2 14 168 2840 61870 1649232 51988748 1891712384 78031713690 3598075308800 183396819358192 | -| 42 | Laguerre:Rev | Triangle | A021010 | 1 1 1 1 4 2 1 9 18 6 1 16 72 96 24 1 25 200 600 600 120 1 36 450 2400 5400 4320 720 1 49 882 7350 | -| 43 | Laguerre:Rev | InvRev | A021009 | 1 -1 1 2 -4 1 -6 18 -9 1 24 -96 72 -16 1 -120 600 -600 200 -25 1 720 -4320 5400 -2400 450 -36 1 | -| 44 | Laguerre:Rev | Acc | missing | 1 1 2 1 5 7 1 10 28 34 1 17 89 185 209 1 26 226 826 1426 1546 1 37 487 2887 8287 12607 13327 1 50 | -| 45 | Laguerre:Rev | AccRev | missing | 1 1 2 2 6 7 6 24 33 34 24 120 192 208 209 120 720 1320 1520 1545 1546 720 5040 10440 12840 13290 | -| 46 | Laguerre:Rev | AntiDiag | missing | 1 1 1 1 1 4 1 9 2 1 16 18 1 25 72 6 1 36 200 96 1 49 450 600 24 1 64 882 2400 600 1 81 1568 7350 | -| 47 | Laguerre:Rev | Diffx1 | missing | 1 1 2 1 8 6 1 18 54 24 1 32 216 384 120 1 50 600 2400 3000 720 1 72 1350 9600 27000 25920 5040 1 98 | -| 48 | Laguerre:Rev | RowSum | A002720 | 1 2 7 34 209 1546 13327 130922 1441729 17572114 234662231 3405357682 53334454417 896324308634 | -| 49 | Laguerre:Rev | EvenSum | missing | 1 1 3 19 97 801 6571 65563 723969 8729857 118091251 1693096131 26786070433 446689827169 | -| 50 | Laguerre:Rev | OddSum | missing | 0 1 4 15 112 745 6756 65359 717760 8842257 116570980 1712261551 26548383984 449634481465 | -| 51 | Laguerre:Rev | AltSum | A009940 | 1 0 -1 4 -15 56 -185 204 6209 -112400 1520271 -19165420 237686449 -2944654296 36392001815 | -| 52 | Laguerre:Rev | DiagSum | missing | 1 1 2 5 12 35 104 333 1124 3947 14520 55229 217748 885219 3705272 15939725 70325604 317879963 | -| 53 | Laguerre:Rev | AccSum | B000262 | 1 3 13 73 501 4051 37633 394353 4596553 58941091 824073141 12470162233 202976401213 3535017524403 | -| 54 | Laguerre:Rev | AccRevSum | missing | 1 3 15 97 753 6771 68983 783945 9820737 134352163 1991873631 31799487633 543705960625 9909847105107 | -| 55 | Laguerre:Rev | RowLcm | missing | 1 1 4 18 288 600 21600 529200 11289600 45722880 4572288000 15367968000 2212987392000 13356959616000 | -| 56 | Laguerre:Rev | RowGcd | A102631 | 1 1 2 3 8 5 6 7 32 27 10 11 24 13 14 15 128 17 54 19 40 21 22 23 96 125 26 243 56 29 30 31 | -| 57 | Laguerre:Rev | RowMax | missing | 1 1 4 18 96 600 5400 52920 564480 6531840 81648000 1097712000 17563392000 296821324800 | -| 58 | Laguerre:Rev | ColMiddle | missing | 1 1 4 9 72 200 2400 7350 117600 381024 7620480 25613280 614718720 2120152320 59364264960 | -| 59 | Laguerre:Rev | CentralE | A295383 | 1 4 72 2400 117600 7620480 614718720 59364264960 6678479808000 857813628672000 123868287980236800 | -| 60 | Laguerre:Rev | CentralO | missing | 1 9 200 7350 381024 25613280 2120152320 208702494000 23828156352000 3096707199505920 | -| 61 | Laguerre:Rev | ColRight | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 62 | Laguerre:Rev | BinConv | A216831 | 1 2 11 88 905 11246 162607 2668436 48830273 983353690 21570885011 511212091952 13001401709881 | -| 63 | Laguerre:Rev | InvBinConv | A343840 | 1 0 -5 -22 9 1244 14335 79470 -586943 -25131304 -434574909 -4418399470 8524321465 1771817986548 | -| 64 | Laguerre:Rev | TransNat0 | A105219 | 0 1 8 63 544 5225 55656 653023 8379008 116780049 1757211400 28394129951 490371506208 9013522796473 | -| 65 | Laguerre:Rev | TransNat1 | missing | 1 3 15 97 753 6771 68983 783945 9820737 134352163 1991873631 31799487633 543705960625 9909847105107 | -| 66 | Laguerre:Rev | TransSqrs | missing | 0 1 12 135 1552 18825 243756 3380167 50172480 795479697 13435216300 241016709351 4579126219152 | -| 67 | Laguerre:Rev | PosHalf | A087912 | 1 3 14 86 648 5752 58576 671568 8546432 119401856 1815177984 29808908032 525586164736 9898343691264 | -| 68 | Laguerre:Rev | NegHalf | A295382 | 1 -1 -2 -2 8 88 592 3344 14464 2944 -1121536 -21603584 -317969408 -4202380288 -51322677248 | -| 69 | Laguerre:Rev | DiagRow1 | B001563 | 1 4 18 96 600 4320 35280 322560 3265920 36288000 439084800 5748019200 80951270400 1220496076800 | -| 70 | Laguerre:Rev | DiagRow2 | B001809 | 1 9 72 600 5400 52920 564480 6531840 81648000 1097712000 15807052800 242853811200 3966612249600 | -| 71 | Laguerre:Rev | DiagRow3 | B001810 | 1 16 200 2400 29400 376320 5080320 72576000 1097712000 17563392000 296821324800 5288816332800 | -| 72 | Laguerre:Rev | DiagCol1 | A162395 | 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 | -| 73 | Laguerre:Rev | DiagCol2 | B163102 | 2 18 72 200 450 882 1568 2592 4050 6050 8712 12168 16562 22050 28800 36992 46818 58482 72200 88200 | -| 74 | Laguerre:Rev | DiagCol3 | B179058 | 6 96 600 2400 7350 18816 42336 86400 163350 290400 490776 794976 1242150 1881600 2774400 3995136 | -| 75 | Laguerre:Rev | Poly | missing | 1 1 1 1 2 1 1 7 3 1 1 34 17 4 1 1 209 139 31 5 1 1 1546 1473 352 49 6 1 1 13327 19091 5233 709 71 7 | -| 76 | Laguerre:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 77 | Laguerre:Rev | PolyRow2 | B056220 | 1 7 17 31 49 71 97 127 161 199 241 287 337 391 449 511 577 647 721 799 881 967 1057 1151 1249 1351 | -| 78 | Laguerre:Rev | PolyRow3 | missing | 1 34 139 352 709 1246 1999 3004 4297 5914 7891 10264 13069 16342 20119 24436 29329 34834 40987 | -| 79 | Laguerre:Rev | PolyCol2 | A025167 | 1 3 17 139 1473 19091 291793 5129307 101817089 2250495523 54780588561 1455367098923 41888448785857 | -| 80 | Laguerre:Rev | PolyCol3 | A102757 | 1 4 31 352 5233 95836 2080999 52189096 1482977857 47053929268 1648037039791 63125834205424 | -| 81 | Laguerre:Rev | PolyDiag | A330260 | 1 2 17 352 13505 830126 74717857 9263893892 1513712421377 315230799073690 81499084718806001 | -| 82 | Laguerre:Inv | Triangle | A021009 | 1 -1 1 2 -4 1 -6 18 -9 1 24 -96 72 -16 1 -120 600 -600 200 -25 1 720 -4320 5400 -2400 450 -36 1 | -| 83 | Laguerre:Inv | Rev | A021010 | 1 1 -1 1 -4 2 1 -9 18 -6 1 -16 72 -96 24 1 -25 200 -600 600 -120 1 -36 450 -2400 5400 -4320 720 1 | -| 84 | Laguerre:Inv | RevInv | A021010 | 1 1 1 1 4 2 1 9 18 6 1 16 72 96 24 1 25 200 600 600 120 1 36 450 2400 5400 4320 720 1 49 882 7350 | -| 85 | Laguerre:Inv | Acc | missing | 1 -1 0 2 -2 -1 -6 12 3 4 24 -72 0 -16 -15 -120 480 -120 80 55 56 720 -3600 1800 -600 -150 -186 -185 | -| 86 | Laguerre:Inv | AccRev | missing | 1 1 0 1 -3 -1 1 -8 10 4 1 -15 57 -39 -15 1 -24 176 -424 176 56 1 -35 415 -1985 3415 -905 -185 1 -48 | -| 87 | Laguerre:Inv | AntiDiag | A084950 | 1 -1 2 1 -6 -4 24 18 1 -120 -96 -9 720 600 72 1 -5040 -4320 -600 -16 40320 35280 5400 200 1 -362880 | -| 88 | Laguerre:Inv | Diffx1 | missing | 1 -1 2 2 -8 3 -6 36 -27 4 24 -192 216 -64 5 -120 1200 -1800 800 -125 6 720 -8640 16200 -9600 2250 | -| 89 | Laguerre:Inv | RowSum | A009940 | 1 0 -1 4 -15 56 -185 204 6209 -112400 1520271 -19165420 237686449 -2944654296 36392001815 | -| 90 | Laguerre:Inv | EvenSum | A331325 | 1 -1 3 -15 97 -745 6571 -65359 723969 -8842257 118091251 -1712261551 26786070433 -449634481465 | -| 91 | Laguerre:Inv | OddSum | A331326 | 0 1 -4 19 -112 801 -6756 65563 -717760 8729857 -116570980 1693096131 -26548383984 446689827169 | -| 92 | Laguerre:Inv | AltSum | A002720 | 1 -2 7 -34 209 -1546 13327 -130922 1441729 -17572114 234662231 -3405357682 53334454417 | -| 93 | Laguerre:Inv | DiagSum | B001040 | 1 -1 3 -10 43 -225 1393 -9976 81201 -740785 7489051 -83120346 1004933203 -13147251985 185066460993 | -| 94 | Laguerre:Inv | AccSum | missing | 1 -1 -1 13 -79 431 -2201 9269 -6847 -615329 12760271 -203118211 2997506929 -43113664177 | -| 95 | Laguerre:Inv | AccRevSum | missing | 1 1 -3 7 -11 -39 721 -7433 68937 -621071 5482981 -46032249 330103357 -1056150263 -31272214791 | -| 96 | Laguerre:Inv | RowLcm | missing | 1 1 4 18 288 600 21600 529200 11289600 45722880 4572288000 15367968000 2212987392000 13356959616000 | -| 97 | Laguerre:Inv | RowGcd | A102631 | 1 1 2 3 8 5 6 7 32 27 10 11 24 13 14 15 128 17 54 19 40 21 22 23 96 125 26 243 56 29 30 31 | -| 98 | Laguerre:Inv | RowMax | missing | 1 1 4 18 96 600 5400 52920 564480 6531840 81648000 1097712000 17563392000 296821324800 | -| 99 | Laguerre:Inv | ColMiddle | A343580 | 1 -1 -4 18 72 -600 -2400 29400 117600 -1905120 -7620480 153679680 614718720 -14841066240 | -| 100 | Laguerre:Inv | CentralE | A295383 | 1 -4 72 -2400 117600 -7620480 614718720 -59364264960 6678479808000 -857813628672000 | -| 101 | Laguerre:Inv | CentralO | missing | -1 18 -600 29400 -1905120 153679680 -14841066240 1669619952000 -214453407168000 30967071995059200 | -| 102 | Laguerre:Inv | ColLeft | A000142 | 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | -| 103 | Laguerre:Inv | BinConv | A343840 | 1 0 -5 22 9 -1244 14335 -79470 -586943 25131304 -434574909 4418399470 8524321465 -1771817986548 | -| 104 | Laguerre:Inv | InvBinConv | A216831 | 1 2 11 88 905 11246 162607 2668436 48830273 983353690 21570885011 511212091952 13001401709881 | -| 105 | Laguerre:Inv | TransNat0 | missing | 0 1 -2 3 4 -95 906 -7637 62728 -508671 3962710 -26866829 92416908 1888504033 -67664216606 | -| 106 | Laguerre:Inv | TransNat1 | missing | 1 1 -3 7 -11 -39 721 -7433 68937 -621071 5482981 -46032249 330103357 -1056150263 -31272214791 | -| 107 | Laguerre:Inv | TransSqrs | missing | 0 1 0 -9 64 -375 2016 -9065 13056 502929 -11240000 183952791 -2759820480 40169009881 -577152242016 | -| 108 | Laguerre:Inv | PosHalf | A025166 | 1 -1 1 7 -127 1711 -23231 334391 -5144063 84149983 -1446872959 25661798119 -454494403199 | -| 109 | Laguerre:Inv | NegHalf | A025167 | 1 3 17 139 1473 19091 291793 5129307 101817089 2250495523 54780588561 1455367098923 41888448785857 | -| 110 | Laguerre:Inv | DiagRow1 | A162395 | -1 -4 -9 -16 -25 -36 -49 -64 -81 -100 -121 -144 -169 -196 -225 -256 -289 -324 -361 -400 -441 -484 | -| 111 | Laguerre:Inv | DiagRow2 | B163102 | 2 18 72 200 450 882 1568 2592 4050 6050 8712 12168 16562 22050 28800 36992 46818 58482 72200 88200 | -| 112 | Laguerre:Inv | DiagRow3 | B179058 | -6 -96 -600 -2400 -7350 -18816 -42336 -86400 -163350 -290400 -490776 -794976 -1242150 -1881600 | -| 113 | Laguerre:Inv | DiagCol1 | B001563 | 1 -4 18 -96 600 -4320 35280 -322560 3265920 -36288000 439084800 -5748019200 80951270400 | -| 114 | Laguerre:Inv | DiagCol2 | B001809 | 1 -9 72 -600 5400 -52920 564480 -6531840 81648000 -1097712000 15807052800 -242853811200 | -| 115 | Laguerre:Inv | DiagCol3 | B001810 | 1 -16 200 -2400 29400 -376320 5080320 -72576000 1097712000 -17563392000 296821324800 -5288816332800 | -| 116 | Laguerre:Inv | Poly | missing | 1 -1 1 2 0 1 -6 -1 1 1 24 4 -2 2 1 -120 -15 2 -1 3 1 720 56 8 -6 2 4 1 -5040 -185 -88 33 -14 7 5 1 | -| 117 | Laguerre:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | -| 118 | Laguerre:Inv | PolyRow2 | B008865 | 2 -1 -2 -1 2 7 14 23 34 47 62 79 98 119 142 167 194 223 254 287 322 359 398 439 482 527 574 623 674 | -| 119 | Laguerre:Inv | PolyRow3 | missing | -6 4 2 -6 -14 -16 -6 22 74 156 274 434 642 904 1226 1614 2074 2612 3234 3946 4754 5664 6682 7814 | -| 120 | Laguerre:Inv | PolyCol2 | A295382 | 1 1 -2 2 8 -88 592 -3344 14464 -2944 -1121536 21603584 -317969408 4202380288 -51322677248 | -| 121 | Laguerre:Inv | PolyCol3 | missing | 1 2 -1 -6 33 -102 -9 3762 -44703 385074 -2540241 7216938 163030401 -4625907894 83469651687 | -| 122 | Laguerre:Inv | PolyDiag | A277423 | 1 0 -2 -6 24 380 720 -31794 -361088 2104056 101548800 612792290 -25534891008 -593660731404 | -| 123 | Laguerre:Inv:Rev | Triangle | A021010 | 1 1 -1 1 -4 2 1 -9 18 -6 1 -16 72 -96 24 1 -25 200 -600 600 -120 1 -36 450 -2400 5400 -4320 720 1 | -| 124 | Laguerre:Inv:Rev | Rev | A021009 | 1 -1 1 2 -4 1 -6 18 -9 1 24 -96 72 -16 1 -120 600 -600 200 -25 1 720 -4320 5400 -2400 450 -36 1 | -| 125 | Laguerre:Inv:Rev | InvRev | A021009 | 1 1 1 2 4 1 6 18 9 1 24 96 72 16 1 120 600 600 200 25 1 720 4320 5400 2400 450 36 1 5040 35280 | -| 126 | Laguerre:Inv:Rev | Acc | missing | 1 1 0 1 -3 -1 1 -8 10 4 1 -15 57 -39 -15 1 -24 176 -424 176 56 1 -35 415 -1985 3415 -905 -185 1 -48 | -| 127 | Laguerre:Inv:Rev | AccRev | missing | 1 -1 0 2 -2 -1 -6 12 3 4 24 -72 0 -16 -15 -120 480 -120 80 55 56 720 -3600 1800 -600 -150 -186 -185 | -| 128 | Laguerre:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -4 1 -9 2 1 -16 18 1 -25 72 -6 1 -36 200 -96 1 -49 450 -600 24 1 -64 882 -2400 600 1 -81 | -| 129 | Laguerre:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -8 6 1 -18 54 -24 1 -32 216 -384 120 1 -50 600 -2400 3000 -720 1 -72 1350 -9600 27000 | -| 130 | Laguerre:Inv:Rev | RowSum | A009940 | 1 0 -1 4 -15 56 -185 204 6209 -112400 1520271 -19165420 237686449 -2944654296 36392001815 | -| 131 | Laguerre:Inv:Rev | EvenSum | missing | 1 1 3 19 97 801 6571 65563 723969 8729857 118091251 1693096131 26786070433 446689827169 | -| 132 | Laguerre:Inv:Rev | OddSum | missing | 0 -1 -4 -15 -112 -745 -6756 -65359 -717760 -8842257 -116570980 -1712261551 -26548383984 | -| 133 | Laguerre:Inv:Rev | AltSum | A002720 | 1 2 7 34 209 1546 13327 130922 1441729 17572114 234662231 3405357682 53334454417 896324308634 | -| 134 | Laguerre:Inv:Rev | DiagSum | missing | 1 1 0 -3 -6 3 42 69 -174 -981 -582 8757 26994 -40509 -442086 -527547 5053362 20594139 -28782054 | -| 135 | Laguerre:Inv:Rev | AccSum | missing | 1 1 -3 7 -11 -39 721 -7433 68937 -621071 5482981 -46032249 330103357 -1056150263 -31272214791 | -| 136 | Laguerre:Inv:Rev | AccRevSum | missing | 1 -1 -1 13 -79 431 -2201 9269 -6847 -615329 12760271 -203118211 2997506929 -43113664177 | -| 137 | Laguerre:Inv:Rev | RowLcm | missing | 1 1 4 18 288 600 21600 529200 11289600 45722880 4572288000 15367968000 2212987392000 13356959616000 | -| 138 | Laguerre:Inv:Rev | RowGcd | A102631 | 1 1 2 3 8 5 6 7 32 27 10 11 24 13 14 15 128 17 54 19 40 21 22 23 96 125 26 243 56 29 30 31 | -| 139 | Laguerre:Inv:Rev | RowMax | missing | 1 1 4 18 96 600 5400 52920 564480 6531840 81648000 1097712000 17563392000 296821324800 | -| 140 | Laguerre:Inv:Rev | ColMiddle | missing | 1 1 -4 -9 72 200 -2400 -7350 117600 381024 -7620480 -25613280 614718720 2120152320 -59364264960 | -| 141 | Laguerre:Inv:Rev | CentralE | A295383 | 1 -4 72 -2400 117600 -7620480 614718720 -59364264960 6678479808000 -857813628672000 | -| 142 | Laguerre:Inv:Rev | CentralO | missing | 1 -9 200 -7350 381024 -25613280 2120152320 -208702494000 23828156352000 -3096707199505920 | -| 143 | Laguerre:Inv:Rev | ColRight | A000142 | 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | -| 144 | Laguerre:Inv:Rev | BinConv | A343840 | 1 0 -5 22 9 -1244 14335 -79470 -586943 25131304 -434574909 4418399470 8524321465 -1771817986548 | -| 145 | Laguerre:Inv:Rev | InvBinConv | A216831 | 1 -2 11 -88 905 -11246 162607 -2668436 48830273 -983353690 21570885011 -511212091952 13001401709881 | -| 146 | Laguerre:Inv:Rev | TransNat0 | missing | 0 -1 0 9 -64 375 -2016 9065 -13056 -502929 11240000 -183952791 2759820480 -40169009881 577152242016 | -| 147 | Laguerre:Inv:Rev | TransNat1 | missing | 1 -1 -1 13 -79 431 -2201 9269 -6847 -615329 12760271 -203118211 2997506929 -43113664177 | -| 148 | Laguerre:Inv:Rev | TransSqrs | missing | 0 -1 4 9 -208 1975 -15516 107849 -593216 554607 61532900 -1543992791 29249022384 -506578671001 | -| 149 | Laguerre:Inv:Rev | PosHalf | A295382 | 1 1 -2 2 8 -88 592 -3344 14464 -2944 -1121536 21603584 -317969408 4202380288 -51322677248 | -| 150 | Laguerre:Inv:Rev | NegHalf | A087912 | 1 -3 14 -86 648 -5752 58576 -671568 8546432 -119401856 1815177984 -29808908032 525586164736 | -| 151 | Laguerre:Inv:Rev | DiagRow1 | B001563 | 1 -4 18 -96 600 -4320 35280 -322560 3265920 -36288000 439084800 -5748019200 80951270400 | -| 152 | Laguerre:Inv:Rev | DiagRow2 | B001809 | 1 -9 72 -600 5400 -52920 564480 -6531840 81648000 -1097712000 15807052800 -242853811200 | -| 153 | Laguerre:Inv:Rev | DiagRow3 | B001810 | 1 -16 200 -2400 29400 -376320 5080320 -72576000 1097712000 -17563392000 296821324800 -5288816332800 | -| 154 | Laguerre:Inv:Rev | DiagCol1 | A162395 | -1 -4 -9 -16 -25 -36 -49 -64 -81 -100 -121 -144 -169 -196 -225 -256 -289 -324 -361 -400 -441 -484 | -| 155 | Laguerre:Inv:Rev | DiagCol2 | B163102 | 2 18 72 200 450 882 1568 2592 4050 6050 8712 12168 16562 22050 28800 36992 46818 58482 72200 88200 | -| 156 | Laguerre:Inv:Rev | DiagCol3 | B179058 | -6 -96 -600 -2400 -7350 -18816 -42336 -86400 -163350 -290400 -490776 -794976 -1242150 -1881600 | -| 157 | Laguerre:Inv:Rev | Poly | missing | 1 1 1 1 0 1 1 -1 -1 1 1 4 1 -2 1 1 -15 7 7 -3 1 1 56 -127 -26 17 -4 1 1 -185 1711 -47 -131 31 -5 1 | -| 158 | Laguerre:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 159 | Laguerre:Inv:Rev | PolyRow2 | A056220 | 1 -1 1 7 17 31 49 71 97 127 161 199 241 287 337 391 449 511 577 647 721 799 881 967 1057 1151 1249 | -| 160 | Laguerre:Inv:Rev | PolyRow3 | missing | 1 4 7 -26 -131 -344 -701 -1238 -1991 -2996 -4289 -5906 -7883 -10256 -13061 -16334 -20111 -24428 | -| 161 | Laguerre:Inv:Rev | PolyCol2 | A025166 | 1 -1 1 7 -127 1711 -23231 334391 -5144063 84149983 -1446872959 25661798119 -454494403199 | -| 162 | Laguerre:Inv:Rev | PolyCol3 | missing | 1 -2 7 -26 -47 4966 -148337 4027822 -111807551 3270352078 -101632011689 3357867854518 | -| 163 | Laguerre:Inv:Rev | PolyDiag | A330497 | 1 0 1 -26 1089 -70124 6495985 -821315214 136115947009 -28651724077976 7470040450004001 | \ No newline at end of file +| 42 | Laguerre:Alt | Triangle | A021009 | 1 1 -1 2 -4 1 6 -18 9 -1 24 -96 72 -16 1 120 -600 600 -200 25 -1 720 -4320 5400 -2400 450 -36 1 | +| 43 | Laguerre:Alt | Rev | A021010 | 1 -1 1 1 -4 2 -1 9 -18 6 1 -16 72 -96 24 -1 25 -200 600 -600 120 1 -36 450 -2400 5400 -4320 720 -1 | +| 44 | Laguerre:Alt | Inv | missing | 1 -1 1 -6 4 1 30 -18 -9 1 792 -480 -216 16 1 -10920 6600 3000 -200 -25 1 -650160 393120 178200 | +| 45 | Laguerre:Alt | RevInv | missing | 1 1 -1 1 4 -6 1 -9 -18 30 1 16 -216 -480 792 1 -25 -200 3000 6600 -10920 1 36 -1350 -12000 178200 | +| 46 | Laguerre:Alt | Acc | missing | 1 1 0 2 -2 -1 6 -12 -3 -4 24 -72 0 -16 -15 120 -480 120 -80 -55 -56 720 -3600 1800 -600 -150 -186 | +| 47 | Laguerre:Alt | AccRev | missing | 1 -1 0 1 -3 -1 -1 8 -10 -4 1 -15 57 -39 -15 -1 24 -176 424 -176 -56 1 -35 415 -1985 3415 -905 -185 | +| 48 | Laguerre:Alt | AntiDiag | A084950 | 1 1 2 -1 6 -4 24 -18 1 120 -96 9 720 -600 72 -1 5040 -4320 600 -16 40320 -35280 5400 -200 1 362880 | +| 49 | Laguerre:Alt | Diffx1 | missing | 1 1 -2 2 -8 3 6 -36 27 -4 24 -192 216 -64 5 120 -1200 1800 -800 125 -6 720 -8640 16200 -9600 2250 | +| 50 | Laguerre:Alt | RowSum | A009940 | 1 0 -1 -4 -15 -56 -185 -204 6209 112400 1520271 19165420 237686449 2944654296 36392001815 | +| 51 | Laguerre:Alt | EvenSum | A331325 | 1 1 3 15 97 745 6571 65359 723969 8842257 118091251 1712261551 26786070433 449634481465 | +| 52 | Laguerre:Alt | OddSum | A331326 | 0 -1 -4 -19 -112 -801 -6756 -65563 -717760 -8729857 -116570980 -1693096131 -26548383984 | +| 53 | Laguerre:Alt | AltSum | A002720 | 1 2 7 34 209 1546 13327 130922 1441729 17572114 234662231 3405357682 53334454417 896324308634 | +| 54 | Laguerre:Alt | DiagSum | B058797 | 1 1 1 2 7 33 191 1304 10241 90865 898409 9791634 116601199 1506023953 20967734143 313009988192 | +| 55 | Laguerre:Alt | AccSum | missing | 1 1 -1 -13 -79 -431 -2201 -9269 -6847 615329 12760271 203118211 2997506929 43113664177 613544243831 | +| 56 | Laguerre:Alt | AccRevSum | missing | 1 -1 -3 -7 -11 39 721 7433 68937 621071 5482981 46032249 330103357 1056150263 -31272214791 | +| 57 | Laguerre:Alt | RowLcm | missing | 1 1 4 18 288 600 21600 529200 11289600 45722880 4572288000 15367968000 2212987392000 13356959616000 | +| 58 | Laguerre:Alt | RowGcd | A102631 | 1 1 2 3 8 5 6 7 32 27 10 11 24 13 14 15 128 17 54 19 40 21 22 23 96 125 26 243 56 29 30 31 | +| 59 | Laguerre:Alt | RowMax | missing | 1 1 4 18 96 600 5400 52920 564480 6531840 81648000 1097712000 17563392000 296821324800 | +| 60 | Laguerre:Alt | ColMiddle | A343580 | 1 1 -4 -18 72 600 -2400 -29400 117600 1905120 -7620480 -153679680 614718720 14841066240 | +| 61 | Laguerre:Alt | CentralE | A295383 | 1 -4 72 -2400 117600 -7620480 614718720 -59364264960 6678479808000 -857813628672000 | +| 62 | Laguerre:Alt | CentralO | missing | 1 -18 600 -29400 1905120 -153679680 14841066240 -1669619952000 214453407168000 -30967071995059200 | +| 63 | Laguerre:Alt | ColLeft | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 64 | Laguerre:Alt | BinConv | A343840 | 1 0 -5 -22 9 1244 14335 79470 -586943 -25131304 -434574909 -4418399470 8524321465 1771817986548 | +| 65 | Laguerre:Alt | InvBinConv | A216831 | 1 -2 11 -88 905 -11246 162607 -2668436 48830273 -983353690 21570885011 -511212091952 13001401709881 | +| 66 | Laguerre:Alt | TransNat0 | missing | 0 -1 -2 -3 4 95 906 7637 62728 508671 3962710 26866829 92416908 -1888504033 -67664216606 | +| 67 | Laguerre:Alt | TransNat1 | missing | 1 -1 -3 -7 -11 39 721 7433 68937 621071 5482981 46032249 330103357 1056150263 -31272214791 | +| 68 | Laguerre:Alt | TransSqrs | missing | 0 -1 0 9 64 375 2016 9065 13056 -502929 -11240000 -183952791 -2759820480 -40169009881 -577152242016 | +| 69 | Laguerre:Alt | PosHalf | A025166 | 1 1 1 -7 -127 -1711 -23231 -334391 -5144063 -84149983 -1446872959 -25661798119 -454494403199 | +| 70 | Laguerre:Alt | NegHalf | A025167 | 1 -3 17 -139 1473 -19091 291793 -5129307 101817089 -2250495523 54780588561 -1455367098923 | +| 71 | Laguerre:Alt | DiagRow1 | A162395 | 1 -4 9 -16 25 -36 49 -64 81 -100 121 -144 169 -196 225 -256 289 -324 361 -400 441 -484 529 -576 625 | +| 72 | Laguerre:Alt | DiagRow2 | B163102 | 2 -18 72 -200 450 -882 1568 -2592 4050 -6050 8712 -12168 16562 -22050 28800 -36992 46818 -58482 | +| 73 | Laguerre:Alt | DiagRow3 | B179058 | 6 -96 600 -2400 7350 -18816 42336 -86400 163350 -290400 490776 -794976 1242150 -1881600 2774400 | +| 74 | Laguerre:Alt | DiagCol1 | B001563 | -1 -4 -18 -96 -600 -4320 -35280 -322560 -3265920 -36288000 -439084800 -5748019200 -80951270400 | +| 75 | Laguerre:Alt | DiagCol2 | B001809 | 1 9 72 600 5400 52920 564480 6531840 81648000 1097712000 15807052800 242853811200 3966612249600 | +| 76 | Laguerre:Alt | DiagCol3 | B001810 | -1 -16 -200 -2400 -29400 -376320 -5080320 -72576000 -1097712000 -17563392000 -296821324800 | +| 77 | Laguerre:Alt | Poly | missing | 1 1 1 2 0 1 6 -1 -1 1 24 -4 -2 -2 1 120 -15 -2 -1 -3 1 720 -56 8 6 2 -4 1 5040 -185 88 33 14 7 -5 1 | +| 78 | Laguerre:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 79 | Laguerre:Alt | PolyRow2 | B008865 | 2 -1 -2 -1 2 7 14 23 34 47 62 79 98 119 142 167 194 223 254 287 322 359 398 439 482 527 574 623 674 | +| 80 | Laguerre:Alt | PolyRow3 | missing | 6 -4 -2 6 14 16 6 -22 -74 -156 -274 -434 -642 -904 -1226 -1614 -2074 -2612 -3234 -3946 -4754 -5664 | +| 81 | Laguerre:Alt | PolyCol2 | A295382 | 1 -1 -2 -2 8 88 592 3344 14464 2944 -1121536 -21603584 -317969408 -4202380288 -51322677248 | +| 82 | Laguerre:Alt | PolyCol3 | missing | 1 -2 -1 6 33 102 -9 -3762 -44703 -385074 -2540241 -7216938 163030401 4625907894 83469651687 | +| 83 | Laguerre:Alt | PolyDiag | A277423 | 1 0 -2 6 24 -380 720 31794 -361088 -2104056 101548800 -612792290 -25534891008 593660731404 | +| 84 | Laguerre:Rev | Triangle | A021010 | 1 1 1 1 4 2 1 9 18 6 1 16 72 96 24 1 25 200 600 600 120 1 36 450 2400 5400 4320 720 1 49 882 7350 | +| 85 | Laguerre:Rev | InvRev | A021009 | 1 -1 1 2 -4 1 -6 18 -9 1 24 -96 72 -16 1 -120 600 -600 200 -25 1 720 -4320 5400 -2400 450 -36 1 | +| 86 | Laguerre:Rev | Acc | missing | 1 1 2 1 5 7 1 10 28 34 1 17 89 185 209 1 26 226 826 1426 1546 1 37 487 2887 8287 12607 13327 1 50 | +| 87 | Laguerre:Rev | AccRev | missing | 1 1 2 2 6 7 6 24 33 34 24 120 192 208 209 120 720 1320 1520 1545 1546 720 5040 10440 12840 13290 | +| 88 | Laguerre:Rev | AntiDiag | missing | 1 1 1 1 1 4 1 9 2 1 16 18 1 25 72 6 1 36 200 96 1 49 450 600 24 1 64 882 2400 600 1 81 1568 7350 | +| 89 | Laguerre:Rev | Diffx1 | missing | 1 1 2 1 8 6 1 18 54 24 1 32 216 384 120 1 50 600 2400 3000 720 1 72 1350 9600 27000 25920 5040 1 98 | +| 90 | Laguerre:Rev | RowSum | A002720 | 1 2 7 34 209 1546 13327 130922 1441729 17572114 234662231 3405357682 53334454417 896324308634 | +| 91 | Laguerre:Rev | EvenSum | missing | 1 1 3 19 97 801 6571 65563 723969 8729857 118091251 1693096131 26786070433 446689827169 | +| 92 | Laguerre:Rev | OddSum | missing | 0 1 4 15 112 745 6756 65359 717760 8842257 116570980 1712261551 26548383984 449634481465 | +| 93 | Laguerre:Rev | AltSum | A009940 | 1 0 -1 4 -15 56 -185 204 6209 -112400 1520271 -19165420 237686449 -2944654296 36392001815 | +| 94 | Laguerre:Rev | DiagSum | missing | 1 1 2 5 12 35 104 333 1124 3947 14520 55229 217748 885219 3705272 15939725 70325604 317879963 | +| 95 | Laguerre:Rev | AccSum | B000262 | 1 3 13 73 501 4051 37633 394353 4596553 58941091 824073141 12470162233 202976401213 3535017524403 | +| 96 | Laguerre:Rev | AccRevSum | missing | 1 3 15 97 753 6771 68983 783945 9820737 134352163 1991873631 31799487633 543705960625 9909847105107 | +| 97 | Laguerre:Rev | RowLcm | missing | 1 1 4 18 288 600 21600 529200 11289600 45722880 4572288000 15367968000 2212987392000 13356959616000 | +| 98 | Laguerre:Rev | RowGcd | A102631 | 1 1 2 3 8 5 6 7 32 27 10 11 24 13 14 15 128 17 54 19 40 21 22 23 96 125 26 243 56 29 30 31 | +| 99 | Laguerre:Rev | RowMax | missing | 1 1 4 18 96 600 5400 52920 564480 6531840 81648000 1097712000 17563392000 296821324800 | +| 100 | Laguerre:Rev | ColMiddle | missing | 1 1 4 9 72 200 2400 7350 117600 381024 7620480 25613280 614718720 2120152320 59364264960 | +| 101 | Laguerre:Rev | CentralE | A295383 | 1 4 72 2400 117600 7620480 614718720 59364264960 6678479808000 857813628672000 123868287980236800 | +| 102 | Laguerre:Rev | CentralO | missing | 1 9 200 7350 381024 25613280 2120152320 208702494000 23828156352000 3096707199505920 | +| 103 | Laguerre:Rev | ColRight | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 104 | Laguerre:Rev | BinConv | A216831 | 1 2 11 88 905 11246 162607 2668436 48830273 983353690 21570885011 511212091952 13001401709881 | +| 105 | Laguerre:Rev | InvBinConv | A343840 | 1 0 -5 -22 9 1244 14335 79470 -586943 -25131304 -434574909 -4418399470 8524321465 1771817986548 | +| 106 | Laguerre:Rev | TransNat0 | A105219 | 0 1 8 63 544 5225 55656 653023 8379008 116780049 1757211400 28394129951 490371506208 9013522796473 | +| 107 | Laguerre:Rev | TransNat1 | missing | 1 3 15 97 753 6771 68983 783945 9820737 134352163 1991873631 31799487633 543705960625 9909847105107 | +| 108 | Laguerre:Rev | TransSqrs | missing | 0 1 12 135 1552 18825 243756 3380167 50172480 795479697 13435216300 241016709351 4579126219152 | +| 109 | Laguerre:Rev | PosHalf | A087912 | 1 3 14 86 648 5752 58576 671568 8546432 119401856 1815177984 29808908032 525586164736 9898343691264 | +| 110 | Laguerre:Rev | NegHalf | A295382 | 1 -1 -2 -2 8 88 592 3344 14464 2944 -1121536 -21603584 -317969408 -4202380288 -51322677248 | +| 111 | Laguerre:Rev | DiagRow1 | B001563 | 1 4 18 96 600 4320 35280 322560 3265920 36288000 439084800 5748019200 80951270400 1220496076800 | +| 112 | Laguerre:Rev | DiagRow2 | B001809 | 1 9 72 600 5400 52920 564480 6531840 81648000 1097712000 15807052800 242853811200 3966612249600 | +| 113 | Laguerre:Rev | DiagRow3 | B001810 | 1 16 200 2400 29400 376320 5080320 72576000 1097712000 17563392000 296821324800 5288816332800 | +| 114 | Laguerre:Rev | DiagCol1 | A162395 | 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 | +| 115 | Laguerre:Rev | DiagCol2 | B163102 | 2 18 72 200 450 882 1568 2592 4050 6050 8712 12168 16562 22050 28800 36992 46818 58482 72200 88200 | +| 116 | Laguerre:Rev | DiagCol3 | B179058 | 6 96 600 2400 7350 18816 42336 86400 163350 290400 490776 794976 1242150 1881600 2774400 3995136 | +| 117 | Laguerre:Rev | Poly | missing | 1 1 1 1 2 1 1 7 3 1 1 34 17 4 1 1 209 139 31 5 1 1 1546 1473 352 49 6 1 1 13327 19091 5233 709 71 7 | +| 118 | Laguerre:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 119 | Laguerre:Rev | PolyRow2 | B056220 | 1 7 17 31 49 71 97 127 161 199 241 287 337 391 449 511 577 647 721 799 881 967 1057 1151 1249 1351 | +| 120 | Laguerre:Rev | PolyRow3 | missing | 1 34 139 352 709 1246 1999 3004 4297 5914 7891 10264 13069 16342 20119 24436 29329 34834 40987 | +| 121 | Laguerre:Rev | PolyCol2 | A025167 | 1 3 17 139 1473 19091 291793 5129307 101817089 2250495523 54780588561 1455367098923 41888448785857 | +| 122 | Laguerre:Rev | PolyCol3 | A102757 | 1 4 31 352 5233 95836 2080999 52189096 1482977857 47053929268 1648037039791 63125834205424 | +| 123 | Laguerre:Rev | PolyDiag | A330260 | 1 2 17 352 13505 830126 74717857 9263893892 1513712421377 315230799073690 81499084718806001 | +| 124 | Laguerre:Inv | Triangle | A021009 | 1 -1 1 2 -4 1 -6 18 -9 1 24 -96 72 -16 1 -120 600 -600 200 -25 1 720 -4320 5400 -2400 450 -36 1 | +| 125 | Laguerre:Inv | Rev | A021010 | 1 1 -1 1 -4 2 1 -9 18 -6 1 -16 72 -96 24 1 -25 200 -600 600 -120 1 -36 450 -2400 5400 -4320 720 1 | +| 126 | Laguerre:Inv | RevInv | A021010 | 1 1 1 1 4 2 1 9 18 6 1 16 72 96 24 1 25 200 600 600 120 1 36 450 2400 5400 4320 720 1 49 882 7350 | +| 127 | Laguerre:Inv | Acc | missing | 1 -1 0 2 -2 -1 -6 12 3 4 24 -72 0 -16 -15 -120 480 -120 80 55 56 720 -3600 1800 -600 -150 -186 -185 | +| 128 | Laguerre:Inv | AccRev | missing | 1 1 0 1 -3 -1 1 -8 10 4 1 -15 57 -39 -15 1 -24 176 -424 176 56 1 -35 415 -1985 3415 -905 -185 1 -48 | +| 129 | Laguerre:Inv | AntiDiag | A084950 | 1 -1 2 1 -6 -4 24 18 1 -120 -96 -9 720 600 72 1 -5040 -4320 -600 -16 40320 35280 5400 200 1 -362880 | +| 130 | Laguerre:Inv | Diffx1 | missing | 1 -1 2 2 -8 3 -6 36 -27 4 24 -192 216 -64 5 -120 1200 -1800 800 -125 6 720 -8640 16200 -9600 2250 | +| 131 | Laguerre:Inv | RowSum | A009940 | 1 0 -1 4 -15 56 -185 204 6209 -112400 1520271 -19165420 237686449 -2944654296 36392001815 | +| 132 | Laguerre:Inv | EvenSum | A331325 | 1 -1 3 -15 97 -745 6571 -65359 723969 -8842257 118091251 -1712261551 26786070433 -449634481465 | +| 133 | Laguerre:Inv | OddSum | A331326 | 0 1 -4 19 -112 801 -6756 65563 -717760 8729857 -116570980 1693096131 -26548383984 446689827169 | +| 134 | Laguerre:Inv | AltSum | A002720 | 1 -2 7 -34 209 -1546 13327 -130922 1441729 -17572114 234662231 -3405357682 53334454417 | +| 135 | Laguerre:Inv | DiagSum | B001040 | 1 -1 3 -10 43 -225 1393 -9976 81201 -740785 7489051 -83120346 1004933203 -13147251985 185066460993 | +| 136 | Laguerre:Inv | AccSum | missing | 1 -1 -1 13 -79 431 -2201 9269 -6847 -615329 12760271 -203118211 2997506929 -43113664177 | +| 137 | Laguerre:Inv | AccRevSum | missing | 1 1 -3 7 -11 -39 721 -7433 68937 -621071 5482981 -46032249 330103357 -1056150263 -31272214791 | +| 138 | Laguerre:Inv | RowLcm | missing | 1 1 4 18 288 600 21600 529200 11289600 45722880 4572288000 15367968000 2212987392000 13356959616000 | +| 139 | Laguerre:Inv | RowGcd | A102631 | 1 1 2 3 8 5 6 7 32 27 10 11 24 13 14 15 128 17 54 19 40 21 22 23 96 125 26 243 56 29 30 31 | +| 140 | Laguerre:Inv | RowMax | missing | 1 1 4 18 96 600 5400 52920 564480 6531840 81648000 1097712000 17563392000 296821324800 | +| 141 | Laguerre:Inv | ColMiddle | A343580 | 1 -1 -4 18 72 -600 -2400 29400 117600 -1905120 -7620480 153679680 614718720 -14841066240 | +| 142 | Laguerre:Inv | CentralE | A295383 | 1 -4 72 -2400 117600 -7620480 614718720 -59364264960 6678479808000 -857813628672000 | +| 143 | Laguerre:Inv | CentralO | missing | -1 18 -600 29400 -1905120 153679680 -14841066240 1669619952000 -214453407168000 30967071995059200 | +| 144 | Laguerre:Inv | ColLeft | A000142 | 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | +| 145 | Laguerre:Inv | BinConv | A343840 | 1 0 -5 22 9 -1244 14335 -79470 -586943 25131304 -434574909 4418399470 8524321465 -1771817986548 | +| 146 | Laguerre:Inv | InvBinConv | A216831 | 1 2 11 88 905 11246 162607 2668436 48830273 983353690 21570885011 511212091952 13001401709881 | +| 147 | Laguerre:Inv | TransNat0 | missing | 0 1 -2 3 4 -95 906 -7637 62728 -508671 3962710 -26866829 92416908 1888504033 -67664216606 | +| 148 | Laguerre:Inv | TransNat1 | missing | 1 1 -3 7 -11 -39 721 -7433 68937 -621071 5482981 -46032249 330103357 -1056150263 -31272214791 | +| 149 | Laguerre:Inv | TransSqrs | missing | 0 1 0 -9 64 -375 2016 -9065 13056 502929 -11240000 183952791 -2759820480 40169009881 -577152242016 | +| 150 | Laguerre:Inv | PosHalf | A025166 | 1 -1 1 7 -127 1711 -23231 334391 -5144063 84149983 -1446872959 25661798119 -454494403199 | +| 151 | Laguerre:Inv | NegHalf | A025167 | 1 3 17 139 1473 19091 291793 5129307 101817089 2250495523 54780588561 1455367098923 41888448785857 | +| 152 | Laguerre:Inv | DiagRow1 | A162395 | -1 -4 -9 -16 -25 -36 -49 -64 -81 -100 -121 -144 -169 -196 -225 -256 -289 -324 -361 -400 -441 -484 | +| 153 | Laguerre:Inv | DiagRow2 | B163102 | 2 18 72 200 450 882 1568 2592 4050 6050 8712 12168 16562 22050 28800 36992 46818 58482 72200 88200 | +| 154 | Laguerre:Inv | DiagRow3 | B179058 | -6 -96 -600 -2400 -7350 -18816 -42336 -86400 -163350 -290400 -490776 -794976 -1242150 -1881600 | +| 155 | Laguerre:Inv | DiagCol1 | B001563 | 1 -4 18 -96 600 -4320 35280 -322560 3265920 -36288000 439084800 -5748019200 80951270400 | +| 156 | Laguerre:Inv | DiagCol2 | B001809 | 1 -9 72 -600 5400 -52920 564480 -6531840 81648000 -1097712000 15807052800 -242853811200 | +| 157 | Laguerre:Inv | DiagCol3 | B001810 | 1 -16 200 -2400 29400 -376320 5080320 -72576000 1097712000 -17563392000 296821324800 -5288816332800 | +| 158 | Laguerre:Inv | Poly | missing | 1 -1 1 2 0 1 -6 -1 1 1 24 4 -2 2 1 -120 -15 2 -1 3 1 720 56 8 -6 2 4 1 -5040 -185 -88 33 -14 7 5 1 | +| 159 | Laguerre:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 160 | Laguerre:Inv | PolyRow2 | B008865 | 2 -1 -2 -1 2 7 14 23 34 47 62 79 98 119 142 167 194 223 254 287 322 359 398 439 482 527 574 623 674 | +| 161 | Laguerre:Inv | PolyRow3 | missing | -6 4 2 -6 -14 -16 -6 22 74 156 274 434 642 904 1226 1614 2074 2612 3234 3946 4754 5664 6682 7814 | +| 162 | Laguerre:Inv | PolyCol2 | A295382 | 1 1 -2 2 8 -88 592 -3344 14464 -2944 -1121536 21603584 -317969408 4202380288 -51322677248 | +| 163 | Laguerre:Inv | PolyCol3 | missing | 1 2 -1 -6 33 -102 -9 3762 -44703 385074 -2540241 7216938 163030401 -4625907894 83469651687 | +| 164 | Laguerre:Inv | PolyDiag | A277423 | 1 0 -2 -6 24 380 720 -31794 -361088 2104056 101548800 612792290 -25534891008 -593660731404 | +| 165 | Laguerre:Inv:Rev | Triangle | A021010 | 1 1 -1 1 -4 2 1 -9 18 -6 1 -16 72 -96 24 1 -25 200 -600 600 -120 1 -36 450 -2400 5400 -4320 720 1 | +| 166 | Laguerre:Inv:Rev | Rev | A021009 | 1 -1 1 2 -4 1 -6 18 -9 1 24 -96 72 -16 1 -120 600 -600 200 -25 1 720 -4320 5400 -2400 450 -36 1 | +| 167 | Laguerre:Inv:Rev | InvRev | A021009 | 1 1 1 2 4 1 6 18 9 1 24 96 72 16 1 120 600 600 200 25 1 720 4320 5400 2400 450 36 1 5040 35280 | +| 168 | Laguerre:Inv:Rev | Acc | missing | 1 1 0 1 -3 -1 1 -8 10 4 1 -15 57 -39 -15 1 -24 176 -424 176 56 1 -35 415 -1985 3415 -905 -185 1 -48 | +| 169 | Laguerre:Inv:Rev | AccRev | missing | 1 -1 0 2 -2 -1 -6 12 3 4 24 -72 0 -16 -15 -120 480 -120 80 55 56 720 -3600 1800 -600 -150 -186 -185 | +| 170 | Laguerre:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -4 1 -9 2 1 -16 18 1 -25 72 -6 1 -36 200 -96 1 -49 450 -600 24 1 -64 882 -2400 600 1 -81 | +| 171 | Laguerre:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -8 6 1 -18 54 -24 1 -32 216 -384 120 1 -50 600 -2400 3000 -720 1 -72 1350 -9600 27000 | +| 172 | Laguerre:Inv:Rev | RowSum | A009940 | 1 0 -1 4 -15 56 -185 204 6209 -112400 1520271 -19165420 237686449 -2944654296 36392001815 | +| 173 | Laguerre:Inv:Rev | EvenSum | missing | 1 1 3 19 97 801 6571 65563 723969 8729857 118091251 1693096131 26786070433 446689827169 | +| 174 | Laguerre:Inv:Rev | OddSum | missing | 0 -1 -4 -15 -112 -745 -6756 -65359 -717760 -8842257 -116570980 -1712261551 -26548383984 | +| 175 | Laguerre:Inv:Rev | AltSum | A002720 | 1 2 7 34 209 1546 13327 130922 1441729 17572114 234662231 3405357682 53334454417 896324308634 | +| 176 | Laguerre:Inv:Rev | DiagSum | missing | 1 1 0 -3 -6 3 42 69 -174 -981 -582 8757 26994 -40509 -442086 -527547 5053362 20594139 -28782054 | +| 177 | Laguerre:Inv:Rev | AccSum | missing | 1 1 -3 7 -11 -39 721 -7433 68937 -621071 5482981 -46032249 330103357 -1056150263 -31272214791 | +| 178 | Laguerre:Inv:Rev | AccRevSum | missing | 1 -1 -1 13 -79 431 -2201 9269 -6847 -615329 12760271 -203118211 2997506929 -43113664177 | +| 179 | Laguerre:Inv:Rev | RowLcm | missing | 1 1 4 18 288 600 21600 529200 11289600 45722880 4572288000 15367968000 2212987392000 13356959616000 | +| 180 | Laguerre:Inv:Rev | RowGcd | A102631 | 1 1 2 3 8 5 6 7 32 27 10 11 24 13 14 15 128 17 54 19 40 21 22 23 96 125 26 243 56 29 30 31 | +| 181 | Laguerre:Inv:Rev | RowMax | missing | 1 1 4 18 96 600 5400 52920 564480 6531840 81648000 1097712000 17563392000 296821324800 | +| 182 | Laguerre:Inv:Rev | ColMiddle | missing | 1 1 -4 -9 72 200 -2400 -7350 117600 381024 -7620480 -25613280 614718720 2120152320 -59364264960 | +| 183 | Laguerre:Inv:Rev | CentralE | A295383 | 1 -4 72 -2400 117600 -7620480 614718720 -59364264960 6678479808000 -857813628672000 | +| 184 | Laguerre:Inv:Rev | CentralO | missing | 1 -9 200 -7350 381024 -25613280 2120152320 -208702494000 23828156352000 -3096707199505920 | +| 185 | Laguerre:Inv:Rev | ColRight | A000142 | 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | +| 186 | Laguerre:Inv:Rev | BinConv | A343840 | 1 0 -5 22 9 -1244 14335 -79470 -586943 25131304 -434574909 4418399470 8524321465 -1771817986548 | +| 187 | Laguerre:Inv:Rev | InvBinConv | A216831 | 1 -2 11 -88 905 -11246 162607 -2668436 48830273 -983353690 21570885011 -511212091952 13001401709881 | +| 188 | Laguerre:Inv:Rev | TransNat0 | missing | 0 -1 0 9 -64 375 -2016 9065 -13056 -502929 11240000 -183952791 2759820480 -40169009881 577152242016 | +| 189 | Laguerre:Inv:Rev | TransNat1 | missing | 1 -1 -1 13 -79 431 -2201 9269 -6847 -615329 12760271 -203118211 2997506929 -43113664177 | +| 190 | Laguerre:Inv:Rev | TransSqrs | missing | 0 -1 4 9 -208 1975 -15516 107849 -593216 554607 61532900 -1543992791 29249022384 -506578671001 | +| 191 | Laguerre:Inv:Rev | PosHalf | A295382 | 1 1 -2 2 8 -88 592 -3344 14464 -2944 -1121536 21603584 -317969408 4202380288 -51322677248 | +| 192 | Laguerre:Inv:Rev | NegHalf | A087912 | 1 -3 14 -86 648 -5752 58576 -671568 8546432 -119401856 1815177984 -29808908032 525586164736 | +| 193 | Laguerre:Inv:Rev | DiagRow1 | B001563 | 1 -4 18 -96 600 -4320 35280 -322560 3265920 -36288000 439084800 -5748019200 80951270400 | +| 194 | Laguerre:Inv:Rev | DiagRow2 | B001809 | 1 -9 72 -600 5400 -52920 564480 -6531840 81648000 -1097712000 15807052800 -242853811200 | +| 195 | Laguerre:Inv:Rev | DiagRow3 | B001810 | 1 -16 200 -2400 29400 -376320 5080320 -72576000 1097712000 -17563392000 296821324800 -5288816332800 | +| 196 | Laguerre:Inv:Rev | DiagCol1 | A162395 | -1 -4 -9 -16 -25 -36 -49 -64 -81 -100 -121 -144 -169 -196 -225 -256 -289 -324 -361 -400 -441 -484 | +| 197 | Laguerre:Inv:Rev | DiagCol2 | B163102 | 2 18 72 200 450 882 1568 2592 4050 6050 8712 12168 16562 22050 28800 36992 46818 58482 72200 88200 | +| 198 | Laguerre:Inv:Rev | DiagCol3 | B179058 | -6 -96 -600 -2400 -7350 -18816 -42336 -86400 -163350 -290400 -490776 -794976 -1242150 -1881600 | +| 199 | Laguerre:Inv:Rev | Poly | missing | 1 1 1 1 0 1 1 -1 -1 1 1 4 1 -2 1 1 -15 7 7 -3 1 1 56 -127 -26 17 -4 1 1 -185 1711 -47 -131 31 -5 1 | +| 200 | Laguerre:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 201 | Laguerre:Inv:Rev | PolyRow2 | A056220 | 1 -1 1 7 17 31 49 71 97 127 161 199 241 287 337 391 449 511 577 647 721 799 881 967 1057 1151 1249 | +| 202 | Laguerre:Inv:Rev | PolyRow3 | missing | 1 4 7 -26 -131 -344 -701 -1238 -1991 -2996 -4289 -5906 -7883 -10256 -13061 -16334 -20111 -24428 | +| 203 | Laguerre:Inv:Rev | PolyCol2 | A025166 | 1 -1 1 7 -127 1711 -23231 334391 -5144063 84149983 -1446872959 25661798119 -454494403199 | +| 204 | Laguerre:Inv:Rev | PolyCol3 | missing | 1 -2 7 -26 -47 4966 -148337 4027822 -111807551 3270352078 -101632011689 3357867854518 | +| 205 | Laguerre:Inv:Rev | PolyDiag | A330497 | 1 0 1 -26 1089 -70124 6495985 -821315214 136115947009 -28651724077976 7470040450004001 | \ No newline at end of file diff --git a/data/md/Lah.md b/data/md/Lah.md index 311f551..19197e4 100644 --- a/data/md/Lah.md +++ b/data/md/Lah.md @@ -41,120 +41,161 @@ | 38 | Lah:Std | PolyCol2 | A052897 | 1 2 8 44 304 2512 24064 261536 3173888 42483968 621159424 9841950208 167879268352 3065723549696 | | 39 | Lah:Std | PolyCol3 | A255806 | 1 3 15 99 801 7623 83079 1017495 13808097 205374123 3318673599 57845821707 1081091446785 | | 40 | Lah:Std | PolyDiag | A293145 | 1 1 8 99 1696 37225 997056 31535371 1150303232 47538819729 2195314048000 112032721984051 | -| 41 | Lah:Rev | Triangle | missing | 1 1 0 1 2 0 1 6 6 0 1 12 36 24 0 1 20 120 240 120 0 1 30 300 1200 1800 720 0 1 42 630 4200 12600 | -| 42 | Lah:Rev | InvRev | A111596 | 1 0 1 0 -2 1 0 6 -6 1 0 -24 36 -12 1 0 120 -240 120 -20 1 0 -720 1800 -1200 300 -30 1 0 5040 -15120 | -| 43 | Lah:Rev | Acc | missing | 1 1 1 1 3 3 1 7 13 13 1 13 49 73 73 1 21 141 381 501 501 1 31 331 1531 3331 4051 4051 1 43 673 4873 | -| 44 | Lah:Rev | AccRev | A349776 | 1 0 1 0 2 3 0 6 12 13 0 24 60 72 73 0 120 360 480 500 501 0 720 2520 3720 4020 4050 4051 0 5040 | -| 45 | Lah:Rev | AntiDiag | missing | 1 1 1 0 1 2 1 6 0 1 12 6 1 20 36 0 1 30 120 24 1 42 300 240 0 1 56 630 1200 120 1 72 1176 4200 1800 | -| 46 | Lah:Rev | Diffx1 | missing | 1 1 0 1 4 0 1 12 18 0 1 24 108 96 0 1 40 360 960 600 0 1 60 900 4800 9000 4320 0 1 84 1890 16800 | -| 47 | Lah:Rev | RowSum | A000262 | 1 1 3 13 73 501 4051 37633 394353 4596553 58941091 824073141 12470162233 202976401213 3535017524403 | -| 48 | Lah:Rev | EvenSum | A096965 | 1 1 1 7 37 241 2101 18271 201097 2270017 29668681 410815351 6238931821 101560835377 1765092183037 | -| 49 | Lah:Rev | OddSum | A096939 | 0 0 2 6 36 260 1950 19362 193256 2326536 29272410 413257790 6231230412 101415565836 1769925341366 | -| 50 | Lah:Rev | AltSum | A111884 | 1 1 -1 1 1 -19 151 -1091 7841 -56519 396271 -2442439 7701409 145269541 -4833158329 104056218421 | -| 51 | Lah:Rev | DiagSum | missing | 1 1 1 3 7 19 57 175 583 2007 7249 27187 105495 423403 1749097 7435479 32435527 145036735 663785793 | -| 52 | Lah:Rev | AccSum | A002720 | 1 2 7 34 209 1546 13327 130922 1441729 17572114 234662231 3405357682 53334454417 896324308634 | -| 53 | Lah:Rev | AccRevSum | A062147 | 1 1 5 31 229 1961 19081 207775 2501801 32989969 472630861 7307593151 121247816845 2148321709561 | -| 54 | Lah:Rev | RowLcm | A359365 | 1 1 2 6 72 240 3600 75600 1411200 10160640 457228800 4191264000 184415616000 2054916864000 | -| 55 | Lah:Rev | RowGcd | A103505 | 1 1 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | -| 56 | Lah:Rev | RowMax | A002868 | 1 1 2 6 36 240 1800 15120 141120 1693440 21772800 299376000 4390848000 68497228800 1133317785600 | -| 57 | Lah:Rev | ColMiddle | missing | 1 1 2 6 36 120 1200 4200 58800 211680 3810240 13970880 307359360 1141620480 29682132480 | -| 58 | Lah:Rev | CentralE | A187535 | 1 2 36 1200 58800 3810240 307359360 29682132480 3339239904000 428906814336000 61934143990118400 | -| 59 | Lah:Rev | CentralO | A248045 | 1 6 120 4200 211680 13970880 1141620480 111307996800 12614906304000 1629845894476800 | -| 60 | Lah:Rev | BinConv | A344051 | 1 1 5 37 361 4301 60001 954325 16984577 333572041 7151967181 165971975621 4139744524345 | -| 61 | Lah:Rev | InvBinConv | A344050 | 1 -1 -3 -1 73 699 3001 -24697 -783999 -10946233 -80958779 656003919 40097528857 944102982419 | -| 62 | Lah:Rev | TransNat0 | missing | 0 0 2 18 156 1460 15030 170142 2107448 28393416 413689770 6483520010 108777654612 1945345308348 | -| 63 | Lah:Rev | TransNat1 | A062147 | 1 1 5 31 229 1961 19081 207775 2501801 32989969 472630861 7307593151 121247816845 2148321709561 | -| 64 | Lah:Rev | TransSqrs | missing | 0 0 2 30 372 4580 58830 801402 11635400 180129672 2969097210 51989394710 964602295932 | -| 65 | Lah:Rev | PosHalf | A052897 | 1 2 8 44 304 2512 24064 261536 3173888 42483968 621159424 9841950208 167879268352 3065723549696 | -| 66 | Lah:Rev | NegHalf | A317364 | 1 -2 0 4 16 48 64 -800 -12288 -127232 -1150976 -9266688 -58726400 -68777984 7510646784 207794409472 | -| 67 | Lah:Rev | DiagRow1 | B000142 | 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000 | -| 68 | Lah:Rev | DiagRow2 | A001286 | 1 6 36 240 1800 15120 141120 1451520 16329600 199584000 2634508800 37362124800 566658892800 | -| 69 | Lah:Rev | DiagRow3 | B001754 | 1 12 120 1200 12600 141120 1693440 21772800 299376000 4390848000 68497228800 1133317785600 | -| 70 | Lah:Rev | DiagCol1 | A002378 | 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | -| 71 | Lah:Rev | DiagCol2 | A083374 | 0 6 36 120 300 630 1176 2016 3240 4950 7260 10296 14196 19110 25200 32640 41616 52326 64980 79800 | -| 72 | Lah:Rev | DiagCol3 | A253285 | 0 24 240 1200 4200 11760 28224 60480 118800 217800 377520 624624 993720 1528800 2284800 3329280 | -| 73 | Lah:Rev | Poly | A257565 | 1 1 1 1 1 1 1 3 1 1 1 13 5 1 1 1 73 37 7 1 1 1 501 361 73 9 1 1 1 4051 4361 1009 121 11 1 1 1 37633 | -| 74 | Lah:Rev | PolyRow2 | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | -| 75 | Lah:Rev | PolyRow3 | A003154 | 1 13 37 73 121 181 253 337 433 541 661 793 937 1093 1261 1441 1633 1837 2053 2281 2521 2773 3037 | -| 76 | Lah:Rev | PolyCol2 | A025168 | 1 1 5 37 361 4361 62701 1044205 19748177 417787921 9770678101 250194150581 6959638411705 | -| 77 | Lah:Rev | PolyCol3 | A321837 | 1 1 7 73 1009 17341 355951 8488117 230439553 7013527129 236419161751 8740611892321 351566026652017 | -| 78 | Lah:Rev | PolyDiag | A293146 | 1 1 5 73 2161 108101 8201701 878797165 126422091713 23514740267401 5492576235204901 | -| 79 | Lah:Inv | Triangle | A111596 | 1 0 1 0 -2 1 0 6 -6 1 0 -24 36 -12 1 0 120 -240 120 -20 1 0 -720 1800 -1200 300 -30 1 0 5040 -15120 | -| 80 | Lah:Inv | Rev | missing | 1 1 0 1 -2 0 1 -6 6 0 1 -12 36 -24 0 1 -20 120 -240 120 0 1 -30 300 -1200 1800 -720 0 1 -42 630 | -| 81 | Lah:Inv | RevInv | missing | 1 1 0 1 2 0 1 6 6 0 1 12 36 24 0 1 20 120 240 120 0 1 30 300 1200 1800 720 0 1 42 630 4200 12600 | -| 82 | Lah:Inv | Acc | missing | 1 0 1 0 -2 -1 0 6 0 1 0 -24 12 0 1 0 120 -120 0 -20 -19 0 -720 1080 -120 180 150 151 0 5040 -10080 | -| 83 | Lah:Inv | AccRev | missing | 1 1 1 1 -1 -1 1 -5 1 1 1 -11 25 1 1 1 -19 101 -139 -19 -19 1 -29 271 -929 871 151 151 1 -41 589 | -| 84 | Lah:Inv | AntiDiag | A330609 | 1 0 0 1 0 -2 0 6 1 0 -24 -6 0 120 36 1 0 -720 -240 -12 0 5040 1800 120 1 0 -40320 -15120 -1200 -20 | -| 85 | Lah:Inv | Diffx1 | A360205 | 1 0 2 0 -4 3 0 12 -18 4 0 -48 108 -48 5 0 240 -720 480 -100 6 0 -1440 5400 -4800 1500 -180 7 0 | -| 86 | Lah:Inv | RowSum | A111884 | 1 1 -1 1 1 -19 151 -1091 7841 -56519 396271 -2442439 7701409 145269541 -4833158329 104056218421 | -| 87 | Lah:Inv | EvenSum | A088312 | 1 0 1 -6 37 -260 2101 -19362 201097 -2326536 29668681 -413257790 6238931821 -101415565836 | -| 88 | Lah:Inv | OddSum | A088313 | 0 1 -2 7 -36 241 -1950 18271 -193256 2270017 -29272410 410815351 -6231230412 101560835377 | -| 89 | Lah:Inv | AltSum | A000262 | 1 -1 3 -13 73 -501 4051 -37633 394353 -4596553 58941091 -824073141 12470162233 -202976401213 | -| 90 | Lah:Inv | DiagSum | A001053 | 1 0 1 -2 7 -30 157 -972 6961 -56660 516901 -5225670 57999271 -701216922 9173819257 -129134686520 | -| 91 | Lah:Inv | AccSum | missing | 1 1 -3 7 -11 -39 721 -7433 68937 -621071 5482981 -46032249 330103357 -1056150263 -31272214791 | -| 92 | Lah:Inv | AccRevSum | A202410 | 1 2 -1 -2 17 -94 487 -2386 9473 -638 -727729 14280542 -222283631 3235193378 -46058318473 | -| 93 | Lah:Inv | RowLcm | A359365 | 1 1 2 6 72 240 3600 75600 1411200 10160640 457228800 4191264000 184415616000 2054916864000 | -| 94 | Lah:Inv | RowGcd | A103505 | 1 1 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | -| 95 | Lah:Inv | RowMax | A002868 | 1 1 2 6 36 240 1800 15120 141120 1693440 21772800 299376000 4390848000 68497228800 1133317785600 | -| 96 | Lah:Inv | ColMiddle | A343581 | 1 0 -2 6 36 -240 -1200 12600 58800 -846720 -3810240 69854400 307359360 -6849722880 -29682132480 | -| 97 | Lah:Inv | CentralE | A187535 | 1 -2 36 -1200 58800 -3810240 307359360 -29682132480 3339239904000 -428906814336000 | -| 98 | Lah:Inv | CentralO | missing | 0 6 -240 12600 -846720 69854400 -6849722880 779155977600 -100919250432000 14668613050291200 | -| 99 | Lah:Inv | BinConv | A344050 | 1 1 -3 1 73 -699 3001 24697 -783999 10946233 -80958779 -656003919 40097528857 -944102982419 | -| 100 | Lah:Inv | InvBinConv | A344051 | 1 1 5 37 361 4301 60001 954325 16984577 333572041 7151967181 165971975621 4139744524345 | -| 101 | Lah:Inv | TransNat0 | A317365 | 0 1 0 -3 16 -75 336 -1295 1632 55881 -1124000 16722981 -229985040 3089923837 -41225160144 | -| 102 | Lah:Inv | TransNat1 | A202410 | 1 2 -1 -2 17 -94 487 -2386 9473 -638 -727729 14280542 -222283631 3235193378 -46058318473 | -| 103 | Lah:Inv | TransSqrs | A256467 | 0 1 2 -9 28 -55 -234 5047 -59464 620433 -6210710 60312791 -552386988 4291343641 -14786103682 | -| 104 | Lah:Inv | PosHalf | A318223 | 1 1 -3 13 -71 441 -2699 9157 206193 -8443151 236126701 -6169406979 161388751657 -4327824442967 | -| 105 | Lah:Inv | NegHalf | A025168 | 1 1 5 37 361 4361 62701 1044205 19748177 417787921 9770678101 250194150581 6959638411705 | -| 106 | Lah:Inv | DiagRow1 | A002378 | 0 -2 -6 -12 -20 -30 -42 -56 -72 -90 -110 -132 -156 -182 -210 -240 -272 -306 -342 -380 -420 -462 | -| 107 | Lah:Inv | DiagRow2 | A083374 | 0 6 36 120 300 630 1176 2016 3240 4950 7260 10296 14196 19110 25200 32640 41616 52326 64980 79800 | -| 108 | Lah:Inv | DiagRow3 | A253285 | 0 -24 -240 -1200 -4200 -11760 -28224 -60480 -118800 -217800 -377520 -624624 -993720 -1528800 | -| 109 | Lah:Inv | DiagCol1 | B155456 | 1 -2 6 -24 120 -720 5040 -40320 362880 -3628800 39916800 -479001600 6227020800 -87178291200 | -| 110 | Lah:Inv | DiagCol2 | A001286 | 1 -6 36 -240 1800 -15120 141120 -1451520 16329600 -199584000 2634508800 -37362124800 566658892800 | -| 111 | Lah:Inv | DiagCol3 | B001754 | 1 -12 120 -1200 12600 -141120 1693440 -21772800 299376000 -4390848000 68497228800 -1133317785600 | -| 112 | Lah:Inv | Poly | missing | 1 0 1 0 1 1 0 -1 2 1 0 1 0 3 1 0 1 -4 3 4 1 0 -19 16 -9 8 5 1 0 151 -48 9 -8 15 6 1 0 -1091 64 63 | -| 113 | Lah:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 114 | Lah:Inv | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | -| 115 | Lah:Inv | PolyRow3 | missing | 0 1 -4 -9 -8 5 36 91 176 297 460 671 936 1261 1652 2115 2656 3281 3996 4807 5720 6741 7876 9131 | -| 116 | Lah:Inv | PolyCol2 | A317364 | 1 2 0 -4 16 -48 64 800 -12288 127232 -1150976 9266688 -58726400 68777984 7510646784 -207794409472 | -| 117 | Lah:Inv | PolyCol3 | missing | 1 3 3 -9 9 63 -621 3699 -14607 -17253 1310499 -20725713 249633657 -2506512681 18706941171 | -| 118 | Lah:Inv | PolyDiag | A317279 | 1 1 0 -9 -32 225 3456 2695 -433152 -4495743 47872000 1768142871 6703534080 -597265448351 | -| 119 | Lah:Inv:Rev | Triangle | missing | 1 1 0 1 -2 0 1 -6 6 0 1 -12 36 -24 0 1 -20 120 -240 120 0 1 -30 300 -1200 1800 -720 0 1 -42 630 | -| 120 | Lah:Inv:Rev | Rev | A111596 | 1 0 1 0 -2 1 0 6 -6 1 0 -24 36 -12 1 0 120 -240 120 -20 1 0 -720 1800 -1200 300 -30 1 0 5040 -15120 | -| 121 | Lah:Inv:Rev | InvRev | A111596 | 1 0 1 0 2 1 0 6 6 1 0 24 36 12 1 0 120 240 120 20 1 0 720 1800 1200 300 30 1 0 5040 15120 12600 | -| 122 | Lah:Inv:Rev | Acc | missing | 1 1 1 1 -1 -1 1 -5 1 1 1 -11 25 1 1 1 -19 101 -139 -19 -19 1 -29 271 -929 871 151 151 1 -41 589 | -| 123 | Lah:Inv:Rev | AccRev | missing | 1 0 1 0 -2 -1 0 6 0 1 0 -24 12 0 1 0 120 -120 0 -20 -19 0 -720 1080 -120 180 150 151 0 5040 -10080 | -| 124 | Lah:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -2 1 -6 0 1 -12 6 1 -20 36 0 1 -30 120 -24 1 -42 300 -240 0 1 -56 630 -1200 120 1 -72 | -| 125 | Lah:Inv:Rev | Diffx1 | missing | 1 1 0 1 -4 0 1 -12 18 0 1 -24 108 -96 0 1 -40 360 -960 600 0 1 -60 900 -4800 9000 -4320 0 1 -84 | -| 126 | Lah:Inv:Rev | RowSum | A111884 | 1 1 -1 1 1 -19 151 -1091 7841 -56519 396271 -2442439 7701409 145269541 -4833158329 104056218421 | -| 127 | Lah:Inv:Rev | EvenSum | A096965 | 1 1 1 7 37 241 2101 18271 201097 2270017 29668681 410815351 6238931821 101560835377 1765092183037 | -| 128 | Lah:Inv:Rev | OddSum | A096939 | 0 0 -2 -6 -36 -260 -1950 -19362 -193256 -2326536 -29272410 -413257790 -6231230412 -101415565836 | -| 129 | Lah:Inv:Rev | AltSum | A000262 | 1 1 3 13 73 501 4051 37633 394353 4596553 58941091 824073141 12470162233 202976401213 3535017524403 | -| 130 | Lah:Inv:Rev | DiagSum | missing | 1 1 1 -1 -5 -5 17 67 19 -505 -1295 2047 18587 19939 -182255 -701605 835267 12424447 17996849 | -| 131 | Lah:Inv:Rev | AccSum | A202410 | 1 2 -1 -2 17 -94 487 -2386 9473 -638 -727729 14280542 -222283631 3235193378 -46058318473 | -| 132 | Lah:Inv:Rev | AccRevSum | missing | 1 1 -3 7 -11 -39 721 -7433 68937 -621071 5482981 -46032249 330103357 -1056150263 -31272214791 | -| 133 | Lah:Inv:Rev | RowLcm | A359365 | 1 1 2 6 72 240 3600 75600 1411200 10160640 457228800 4191264000 184415616000 2054916864000 | -| 134 | Lah:Inv:Rev | RowGcd | A103505 | 1 1 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | -| 135 | Lah:Inv:Rev | RowMax | A002868 | 1 1 2 6 36 240 1800 15120 141120 1693440 21772800 299376000 4390848000 68497228800 1133317785600 | -| 136 | Lah:Inv:Rev | ColMiddle | missing | 1 1 -2 -6 36 120 -1200 -4200 58800 211680 -3810240 -13970880 307359360 1141620480 -29682132480 | -| 137 | Lah:Inv:Rev | CentralE | A187535 | 1 -2 36 -1200 58800 -3810240 307359360 -29682132480 3339239904000 -428906814336000 | -| 138 | Lah:Inv:Rev | CentralO | A248045 | 1 -6 120 -4200 211680 -13970880 1141620480 -111307996800 12614906304000 -1629845894476800 | -| 139 | Lah:Inv:Rev | BinConv | A344050 | 1 1 -3 1 73 -699 3001 24697 -783999 10946233 -80958779 -656003919 40097528857 -944102982419 | -| 140 | Lah:Inv:Rev | InvBinConv | A344051 | 1 -1 5 -37 361 -4301 60001 -954325 16984577 -333572041 7151967181 -165971975621 4139744524345 | -| 141 | Lah:Inv:Rev | TransNat0 | missing | 0 0 -2 6 -12 -20 570 -6342 61096 -564552 5086710 -43589810 322401948 -1201419804 -26439056462 | -| 142 | Lah:Inv:Rev | TransNat1 | missing | 1 1 -3 7 -11 -39 721 -7433 68937 -621071 5482981 -46032249 330103357 -1056150263 -31272214791 | -| 143 | Lah:Inv:Rev | TransSqrs | missing | 0 0 -2 18 -84 220 1170 -30282 416248 -4963464 55896390 -603127910 6076256868 -51496123692 | -| 144 | Lah:Inv:Rev | PosHalf | A317364 | 1 2 0 -4 16 -48 64 800 -12288 127232 -1150976 9266688 -58726400 68777984 7510646784 -207794409472 | -| 145 | Lah:Inv:Rev | NegHalf | A052897 | 1 -2 8 -44 304 -2512 24064 -261536 3173888 -42483968 621159424 -9841950208 167879268352 | -| 146 | Lah:Inv:Rev | DiagRow1 | B155456 | 1 -2 6 -24 120 -720 5040 -40320 362880 -3628800 39916800 -479001600 6227020800 -87178291200 | -| 147 | Lah:Inv:Rev | DiagRow2 | A001286 | 1 -6 36 -240 1800 -15120 141120 -1451520 16329600 -199584000 2634508800 -37362124800 566658892800 | -| 148 | Lah:Inv:Rev | DiagRow3 | B001754 | 1 -12 120 -1200 12600 -141120 1693440 -21772800 299376000 -4390848000 68497228800 -1133317785600 | -| 149 | Lah:Inv:Rev | DiagCol1 | A002378 | 0 -2 -6 -12 -20 -30 -42 -56 -72 -90 -110 -132 -156 -182 -210 -240 -272 -306 -342 -380 -420 -462 | -| 150 | Lah:Inv:Rev | DiagCol2 | A083374 | 0 6 36 120 300 630 1176 2016 3240 4950 7260 10296 14196 19110 25200 32640 41616 52326 64980 79800 | -| 151 | Lah:Inv:Rev | DiagCol3 | A253285 | 0 -24 -240 -1200 -4200 -11760 -28224 -60480 -118800 -217800 -377520 -624624 -993720 -1528800 | -| 152 | Lah:Inv:Rev | Poly | A065372 | 1 1 1 1 1 1 1 -1 1 1 1 1 -3 1 1 1 1 13 -5 1 1 1 -19 -71 37 -7 1 1 1 151 441 -359 73 -9 1 1 1 -1091 | -| 153 | Lah:Inv:Rev | PolyRow2 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | -| 154 | Lah:Inv:Rev | PolyRow3 | A003154 | 1 1 13 37 73 121 181 253 337 433 541 661 793 937 1093 1261 1441 1633 1837 2053 2281 2521 2773 3037 | -| 155 | Lah:Inv:Rev | PolyCol2 | A318223 | 1 1 -3 13 -71 441 -2699 9157 206193 -8443151 236126701 -6169406979 161388751657 -4327824442967 | -| 156 | Lah:Inv:Rev | PolyCol3 | missing | 1 1 -5 37 -359 4261 -58949 912745 -15139823 251548201 -3521449349 4011468781 3225489384745 | -| 157 | Lah:Inv:Rev | PolyDiag | A318224 | 1 1 -3 37 -1007 47901 -3514499 367671697 -51952729023 9529552851193 -2201241933756899 | \ No newline at end of file +| 41 | Lah:Alt | Triangle | A111596 | 1 0 -1 0 -2 1 0 -6 6 -1 0 -24 36 -12 1 0 -120 240 -120 20 -1 0 -720 1800 -1200 300 -30 1 0 -5040 | +| 42 | Lah:Alt | Rev | missing | 1 -1 0 1 -2 0 -1 6 -6 0 1 -12 36 -24 0 -1 20 -120 240 -120 0 1 -30 300 -1200 1800 -720 0 -1 42 -630 | +| 43 | Lah:Alt | Inv | missing | 1 0 1 0 2 1 0 -6 -6 1 0 -120 -108 12 1 0 1320 1200 -120 -20 1 0 65520 59400 -6000 -900 30 1 0 | +| 44 | Lah:Alt | RevInv | missing | 1 1 0 1 2 0 1 -6 -6 0 1 12 -108 -120 0 1 -20 -120 1200 1320 0 1 30 -900 -6000 59400 65520 0 1 -42 | +| 45 | Lah:Alt | Acc | missing | 1 0 -1 0 -2 -1 0 -6 0 -1 0 -24 12 0 1 0 -120 120 0 20 19 0 -720 1080 -120 180 150 151 0 -5040 10080 | +| 46 | Lah:Alt | AccRev | missing | 1 -1 -1 1 -1 -1 -1 5 -1 -1 1 -11 25 1 1 -1 19 -101 139 19 19 1 -29 271 -929 871 151 151 -1 41 -589 | +| 47 | Lah:Alt | AntiDiag | A330609 | 1 0 0 -1 0 -2 0 -6 1 0 -24 6 0 -120 36 -1 0 -720 240 -12 0 -5040 1800 -120 1 0 -40320 15120 -1200 | +| 48 | Lah:Alt | Diffx1 | A360205 | 1 0 -2 0 -4 3 0 -12 18 -4 0 -48 108 -48 5 0 -240 720 -480 100 -6 0 -1440 5400 -4800 1500 -180 7 0 | +| 49 | Lah:Alt | RowSum | A111884 | 1 -1 -1 -1 1 19 151 1091 7841 56519 396271 2442439 7701409 -145269541 -4833158329 -104056218421 | +| 50 | Lah:Alt | EvenSum | A088312 | 1 0 1 6 37 260 2101 19362 201097 2326536 29668681 413257790 6238931821 101415565836 1765092183037 | +| 51 | Lah:Alt | OddSum | A088313 | 0 -1 -2 -7 -36 -241 -1950 -18271 -193256 -2270017 -29272410 -410815351 -6231230412 -101560835377 | +| 52 | Lah:Alt | AltSum | A000262 | 1 1 3 13 73 501 4051 37633 394353 4596553 58941091 824073141 12470162233 202976401213 3535017524403 | +| 53 | Lah:Alt | DiagSum | A058798 | 1 0 -1 -2 -5 -18 -85 -492 -3359 -26380 -234061 -2314230 -25222469 -300355398 -3879397705 | +| 54 | Lah:Alt | AccSum | missing | 1 -1 -3 -7 -11 39 721 7433 68937 621071 5482981 46032249 330103357 1056150263 -31272214791 | +| 55 | Lah:Alt | AccRevSum | A202410 | 1 -2 -1 2 17 94 487 2386 9473 638 -727729 -14280542 -222283631 -3235193378 -46058318473 | +| 56 | Lah:Alt | RowLcm | A359365 | 1 1 2 6 72 240 3600 75600 1411200 10160640 457228800 4191264000 184415616000 2054916864000 | +| 57 | Lah:Alt | RowGcd | A103505 | 1 1 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 58 | Lah:Alt | RowMax | A002868 | 1 1 2 6 36 240 1800 15120 141120 1693440 21772800 299376000 4390848000 68497228800 1133317785600 | +| 59 | Lah:Alt | ColMiddle | A343581 | 1 0 -2 -6 36 240 -1200 -12600 58800 846720 -3810240 -69854400 307359360 6849722880 -29682132480 | +| 60 | Lah:Alt | CentralE | A187535 | 1 -2 36 -1200 58800 -3810240 307359360 -29682132480 3339239904000 -428906814336000 | +| 61 | Lah:Alt | CentralO | missing | 0 -6 240 -12600 846720 -69854400 6849722880 -779155977600 100919250432000 -14668613050291200 | +| 62 | Lah:Alt | BinConv | A344050 | 1 -1 -3 -1 73 699 3001 -24697 -783999 -10946233 -80958779 656003919 40097528857 944102982419 | +| 63 | Lah:Alt | InvBinConv | A344051 | 1 -1 5 -37 361 -4301 60001 -954325 16984577 -333572041 7151967181 -165971975621 4139744524345 | +| 64 | Lah:Alt | TransNat0 | A317365 | 0 -1 0 3 16 75 336 1295 1632 -55881 -1124000 -16722981 -229985040 -3089923837 -41225160144 | +| 65 | Lah:Alt | TransNat1 | A202410 | 1 -2 -1 2 17 94 487 2386 9473 638 -727729 -14280542 -222283631 -3235193378 -46058318473 | +| 66 | Lah:Alt | TransSqrs | A256467 | 0 -1 2 9 28 55 -234 -5047 -59464 -620433 -6210710 -60312791 -552386988 -4291343641 -14786103682 | +| 67 | Lah:Alt | PosHalf | A318223 | 1 -1 -3 -13 -71 -441 -2699 -9157 206193 8443151 236126701 6169406979 161388751657 4327824442967 | +| 68 | Lah:Alt | NegHalf | A025168 | 1 -1 5 -37 361 -4361 62701 -1044205 19748177 -417787921 9770678101 -250194150581 6959638411705 | +| 69 | Lah:Alt | DiagRow1 | A002378 | 0 -2 6 -12 20 -30 42 -56 72 -90 110 -132 156 -182 210 -240 272 -306 342 -380 420 -462 506 -552 600 | +| 70 | Lah:Alt | DiagRow2 | A083374 | 0 -6 36 -120 300 -630 1176 -2016 3240 -4950 7260 -10296 14196 -19110 25200 -32640 41616 -52326 | +| 71 | Lah:Alt | DiagRow3 | A253285 | 0 -24 240 -1200 4200 -11760 28224 -60480 118800 -217800 377520 -624624 993720 -1528800 2284800 | +| 72 | Lah:Alt | DiagCol1 | B000142 | -1 -2 -6 -24 -120 -720 -5040 -40320 -362880 -3628800 -39916800 -479001600 -6227020800 -87178291200 | +| 73 | Lah:Alt | DiagCol2 | A001286 | 1 6 36 240 1800 15120 141120 1451520 16329600 199584000 2634508800 37362124800 566658892800 | +| 74 | Lah:Alt | DiagCol3 | B001754 | -1 -12 -120 -1200 -12600 -141120 -1693440 -21772800 -299376000 -4390848000 -68497228800 | +| 75 | Lah:Alt | Poly | missing | 1 0 1 0 -1 1 0 -1 -2 1 0 -1 0 -3 1 0 1 4 3 -4 1 0 19 16 9 8 -5 1 0 151 48 9 8 15 -6 1 0 1091 64 -63 | +| 76 | Lah:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 77 | Lah:Alt | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 78 | Lah:Alt | PolyRow3 | missing | 0 -1 4 9 8 -5 -36 -91 -176 -297 -460 -671 -936 -1261 -1652 -2115 -2656 -3281 -3996 -4807 -5720 | +| 79 | Lah:Alt | PolyCol2 | A317364 | 1 -2 0 4 16 48 64 -800 -12288 -127232 -1150976 -9266688 -58726400 -68777984 7510646784 207794409472 | +| 80 | Lah:Alt | PolyCol3 | missing | 1 -3 3 9 9 -63 -621 -3699 -14607 17253 1310499 20725713 249633657 2506512681 18706941171 | +| 81 | Lah:Alt | PolyDiag | A317279 | 1 -1 0 9 -32 -225 3456 -2695 -433152 4495743 47872000 -1768142871 6703534080 597265448351 | +| 82 | Lah:Rev | Triangle | missing | 1 1 0 1 2 0 1 6 6 0 1 12 36 24 0 1 20 120 240 120 0 1 30 300 1200 1800 720 0 1 42 630 4200 12600 | +| 83 | Lah:Rev | InvRev | A111596 | 1 0 1 0 -2 1 0 6 -6 1 0 -24 36 -12 1 0 120 -240 120 -20 1 0 -720 1800 -1200 300 -30 1 0 5040 -15120 | +| 84 | Lah:Rev | Acc | missing | 1 1 1 1 3 3 1 7 13 13 1 13 49 73 73 1 21 141 381 501 501 1 31 331 1531 3331 4051 4051 1 43 673 4873 | +| 85 | Lah:Rev | AccRev | A349776 | 1 0 1 0 2 3 0 6 12 13 0 24 60 72 73 0 120 360 480 500 501 0 720 2520 3720 4020 4050 4051 0 5040 | +| 86 | Lah:Rev | AntiDiag | missing | 1 1 1 0 1 2 1 6 0 1 12 6 1 20 36 0 1 30 120 24 1 42 300 240 0 1 56 630 1200 120 1 72 1176 4200 1800 | +| 87 | Lah:Rev | Diffx1 | missing | 1 1 0 1 4 0 1 12 18 0 1 24 108 96 0 1 40 360 960 600 0 1 60 900 4800 9000 4320 0 1 84 1890 16800 | +| 88 | Lah:Rev | RowSum | A000262 | 1 1 3 13 73 501 4051 37633 394353 4596553 58941091 824073141 12470162233 202976401213 3535017524403 | +| 89 | Lah:Rev | EvenSum | A096965 | 1 1 1 7 37 241 2101 18271 201097 2270017 29668681 410815351 6238931821 101560835377 1765092183037 | +| 90 | Lah:Rev | OddSum | A096939 | 0 0 2 6 36 260 1950 19362 193256 2326536 29272410 413257790 6231230412 101415565836 1769925341366 | +| 91 | Lah:Rev | AltSum | A111884 | 1 1 -1 1 1 -19 151 -1091 7841 -56519 396271 -2442439 7701409 145269541 -4833158329 104056218421 | +| 92 | Lah:Rev | DiagSum | missing | 1 1 1 3 7 19 57 175 583 2007 7249 27187 105495 423403 1749097 7435479 32435527 145036735 663785793 | +| 93 | Lah:Rev | AccSum | A002720 | 1 2 7 34 209 1546 13327 130922 1441729 17572114 234662231 3405357682 53334454417 896324308634 | +| 94 | Lah:Rev | AccRevSum | A062147 | 1 1 5 31 229 1961 19081 207775 2501801 32989969 472630861 7307593151 121247816845 2148321709561 | +| 95 | Lah:Rev | RowLcm | A359365 | 1 1 2 6 72 240 3600 75600 1411200 10160640 457228800 4191264000 184415616000 2054916864000 | +| 96 | Lah:Rev | RowGcd | A103505 | 1 1 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 97 | Lah:Rev | RowMax | A002868 | 1 1 2 6 36 240 1800 15120 141120 1693440 21772800 299376000 4390848000 68497228800 1133317785600 | +| 98 | Lah:Rev | ColMiddle | missing | 1 1 2 6 36 120 1200 4200 58800 211680 3810240 13970880 307359360 1141620480 29682132480 | +| 99 | Lah:Rev | CentralE | A187535 | 1 2 36 1200 58800 3810240 307359360 29682132480 3339239904000 428906814336000 61934143990118400 | +| 100 | Lah:Rev | CentralO | A248045 | 1 6 120 4200 211680 13970880 1141620480 111307996800 12614906304000 1629845894476800 | +| 101 | Lah:Rev | BinConv | A344051 | 1 1 5 37 361 4301 60001 954325 16984577 333572041 7151967181 165971975621 4139744524345 | +| 102 | Lah:Rev | InvBinConv | A344050 | 1 -1 -3 -1 73 699 3001 -24697 -783999 -10946233 -80958779 656003919 40097528857 944102982419 | +| 103 | Lah:Rev | TransNat0 | missing | 0 0 2 18 156 1460 15030 170142 2107448 28393416 413689770 6483520010 108777654612 1945345308348 | +| 104 | Lah:Rev | TransNat1 | A062147 | 1 1 5 31 229 1961 19081 207775 2501801 32989969 472630861 7307593151 121247816845 2148321709561 | +| 105 | Lah:Rev | TransSqrs | missing | 0 0 2 30 372 4580 58830 801402 11635400 180129672 2969097210 51989394710 964602295932 | +| 106 | Lah:Rev | PosHalf | A052897 | 1 2 8 44 304 2512 24064 261536 3173888 42483968 621159424 9841950208 167879268352 3065723549696 | +| 107 | Lah:Rev | NegHalf | A317364 | 1 -2 0 4 16 48 64 -800 -12288 -127232 -1150976 -9266688 -58726400 -68777984 7510646784 207794409472 | +| 108 | Lah:Rev | DiagRow1 | B000142 | 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000 | +| 109 | Lah:Rev | DiagRow2 | A001286 | 1 6 36 240 1800 15120 141120 1451520 16329600 199584000 2634508800 37362124800 566658892800 | +| 110 | Lah:Rev | DiagRow3 | B001754 | 1 12 120 1200 12600 141120 1693440 21772800 299376000 4390848000 68497228800 1133317785600 | +| 111 | Lah:Rev | DiagCol1 | A002378 | 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | +| 112 | Lah:Rev | DiagCol2 | A083374 | 0 6 36 120 300 630 1176 2016 3240 4950 7260 10296 14196 19110 25200 32640 41616 52326 64980 79800 | +| 113 | Lah:Rev | DiagCol3 | A253285 | 0 24 240 1200 4200 11760 28224 60480 118800 217800 377520 624624 993720 1528800 2284800 3329280 | +| 114 | Lah:Rev | Poly | A257565 | 1 1 1 1 1 1 1 3 1 1 1 13 5 1 1 1 73 37 7 1 1 1 501 361 73 9 1 1 1 4051 4361 1009 121 11 1 1 1 37633 | +| 115 | Lah:Rev | PolyRow2 | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | +| 116 | Lah:Rev | PolyRow3 | A003154 | 1 13 37 73 121 181 253 337 433 541 661 793 937 1093 1261 1441 1633 1837 2053 2281 2521 2773 3037 | +| 117 | Lah:Rev | PolyCol2 | A025168 | 1 1 5 37 361 4361 62701 1044205 19748177 417787921 9770678101 250194150581 6959638411705 | +| 118 | Lah:Rev | PolyCol3 | A321837 | 1 1 7 73 1009 17341 355951 8488117 230439553 7013527129 236419161751 8740611892321 351566026652017 | +| 119 | Lah:Rev | PolyDiag | A293146 | 1 1 5 73 2161 108101 8201701 878797165 126422091713 23514740267401 5492576235204901 | +| 120 | Lah:Inv | Triangle | A111596 | 1 0 1 0 -2 1 0 6 -6 1 0 -24 36 -12 1 0 120 -240 120 -20 1 0 -720 1800 -1200 300 -30 1 0 5040 -15120 | +| 121 | Lah:Inv | Rev | missing | 1 1 0 1 -2 0 1 -6 6 0 1 -12 36 -24 0 1 -20 120 -240 120 0 1 -30 300 -1200 1800 -720 0 1 -42 630 | +| 122 | Lah:Inv | RevInv | missing | 1 1 0 1 2 0 1 6 6 0 1 12 36 24 0 1 20 120 240 120 0 1 30 300 1200 1800 720 0 1 42 630 4200 12600 | +| 123 | Lah:Inv | Acc | missing | 1 0 1 0 -2 -1 0 6 0 1 0 -24 12 0 1 0 120 -120 0 -20 -19 0 -720 1080 -120 180 150 151 0 5040 -10080 | +| 124 | Lah:Inv | AccRev | missing | 1 1 1 1 -1 -1 1 -5 1 1 1 -11 25 1 1 1 -19 101 -139 -19 -19 1 -29 271 -929 871 151 151 1 -41 589 | +| 125 | Lah:Inv | AntiDiag | A330609 | 1 0 0 1 0 -2 0 6 1 0 -24 -6 0 120 36 1 0 -720 -240 -12 0 5040 1800 120 1 0 -40320 -15120 -1200 -20 | +| 126 | Lah:Inv | Diffx1 | A360205 | 1 0 2 0 -4 3 0 12 -18 4 0 -48 108 -48 5 0 240 -720 480 -100 6 0 -1440 5400 -4800 1500 -180 7 0 | +| 127 | Lah:Inv | RowSum | A111884 | 1 1 -1 1 1 -19 151 -1091 7841 -56519 396271 -2442439 7701409 145269541 -4833158329 104056218421 | +| 128 | Lah:Inv | EvenSum | A088312 | 1 0 1 -6 37 -260 2101 -19362 201097 -2326536 29668681 -413257790 6238931821 -101415565836 | +| 129 | Lah:Inv | OddSum | A088313 | 0 1 -2 7 -36 241 -1950 18271 -193256 2270017 -29272410 410815351 -6231230412 101560835377 | +| 130 | Lah:Inv | AltSum | A000262 | 1 -1 3 -13 73 -501 4051 -37633 394353 -4596553 58941091 -824073141 12470162233 -202976401213 | +| 131 | Lah:Inv | DiagSum | A001053 | 1 0 1 -2 7 -30 157 -972 6961 -56660 516901 -5225670 57999271 -701216922 9173819257 -129134686520 | +| 132 | Lah:Inv | AccSum | missing | 1 1 -3 7 -11 -39 721 -7433 68937 -621071 5482981 -46032249 330103357 -1056150263 -31272214791 | +| 133 | Lah:Inv | AccRevSum | A202410 | 1 2 -1 -2 17 -94 487 -2386 9473 -638 -727729 14280542 -222283631 3235193378 -46058318473 | +| 134 | Lah:Inv | RowLcm | A359365 | 1 1 2 6 72 240 3600 75600 1411200 10160640 457228800 4191264000 184415616000 2054916864000 | +| 135 | Lah:Inv | RowGcd | A103505 | 1 1 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 136 | Lah:Inv | RowMax | A002868 | 1 1 2 6 36 240 1800 15120 141120 1693440 21772800 299376000 4390848000 68497228800 1133317785600 | +| 137 | Lah:Inv | ColMiddle | A343581 | 1 0 -2 6 36 -240 -1200 12600 58800 -846720 -3810240 69854400 307359360 -6849722880 -29682132480 | +| 138 | Lah:Inv | CentralE | A187535 | 1 -2 36 -1200 58800 -3810240 307359360 -29682132480 3339239904000 -428906814336000 | +| 139 | Lah:Inv | CentralO | missing | 0 6 -240 12600 -846720 69854400 -6849722880 779155977600 -100919250432000 14668613050291200 | +| 140 | Lah:Inv | BinConv | A344050 | 1 1 -3 1 73 -699 3001 24697 -783999 10946233 -80958779 -656003919 40097528857 -944102982419 | +| 141 | Lah:Inv | InvBinConv | A344051 | 1 1 5 37 361 4301 60001 954325 16984577 333572041 7151967181 165971975621 4139744524345 | +| 142 | Lah:Inv | TransNat0 | A317365 | 0 1 0 -3 16 -75 336 -1295 1632 55881 -1124000 16722981 -229985040 3089923837 -41225160144 | +| 143 | Lah:Inv | TransNat1 | A202410 | 1 2 -1 -2 17 -94 487 -2386 9473 -638 -727729 14280542 -222283631 3235193378 -46058318473 | +| 144 | Lah:Inv | TransSqrs | A256467 | 0 1 2 -9 28 -55 -234 5047 -59464 620433 -6210710 60312791 -552386988 4291343641 -14786103682 | +| 145 | Lah:Inv | PosHalf | A318223 | 1 1 -3 13 -71 441 -2699 9157 206193 -8443151 236126701 -6169406979 161388751657 -4327824442967 | +| 146 | Lah:Inv | NegHalf | A025168 | 1 1 5 37 361 4361 62701 1044205 19748177 417787921 9770678101 250194150581 6959638411705 | +| 147 | Lah:Inv | DiagRow1 | A002378 | 0 -2 -6 -12 -20 -30 -42 -56 -72 -90 -110 -132 -156 -182 -210 -240 -272 -306 -342 -380 -420 -462 | +| 148 | Lah:Inv | DiagRow2 | A083374 | 0 6 36 120 300 630 1176 2016 3240 4950 7260 10296 14196 19110 25200 32640 41616 52326 64980 79800 | +| 149 | Lah:Inv | DiagRow3 | A253285 | 0 -24 -240 -1200 -4200 -11760 -28224 -60480 -118800 -217800 -377520 -624624 -993720 -1528800 | +| 150 | Lah:Inv | DiagCol1 | B155456 | 1 -2 6 -24 120 -720 5040 -40320 362880 -3628800 39916800 -479001600 6227020800 -87178291200 | +| 151 | Lah:Inv | DiagCol2 | A001286 | 1 -6 36 -240 1800 -15120 141120 -1451520 16329600 -199584000 2634508800 -37362124800 566658892800 | +| 152 | Lah:Inv | DiagCol3 | B001754 | 1 -12 120 -1200 12600 -141120 1693440 -21772800 299376000 -4390848000 68497228800 -1133317785600 | +| 153 | Lah:Inv | Poly | missing | 1 0 1 0 1 1 0 -1 2 1 0 1 0 3 1 0 1 -4 3 4 1 0 -19 16 -9 8 5 1 0 151 -48 9 -8 15 6 1 0 -1091 64 63 | +| 154 | Lah:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 155 | Lah:Inv | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 156 | Lah:Inv | PolyRow3 | missing | 0 1 -4 -9 -8 5 36 91 176 297 460 671 936 1261 1652 2115 2656 3281 3996 4807 5720 6741 7876 9131 | +| 157 | Lah:Inv | PolyCol2 | A317364 | 1 2 0 -4 16 -48 64 800 -12288 127232 -1150976 9266688 -58726400 68777984 7510646784 -207794409472 | +| 158 | Lah:Inv | PolyCol3 | missing | 1 3 3 -9 9 63 -621 3699 -14607 -17253 1310499 -20725713 249633657 -2506512681 18706941171 | +| 159 | Lah:Inv | PolyDiag | A317279 | 1 1 0 -9 -32 225 3456 2695 -433152 -4495743 47872000 1768142871 6703534080 -597265448351 | +| 160 | Lah:Inv:Rev | Triangle | missing | 1 1 0 1 -2 0 1 -6 6 0 1 -12 36 -24 0 1 -20 120 -240 120 0 1 -30 300 -1200 1800 -720 0 1 -42 630 | +| 161 | Lah:Inv:Rev | Rev | A111596 | 1 0 1 0 -2 1 0 6 -6 1 0 -24 36 -12 1 0 120 -240 120 -20 1 0 -720 1800 -1200 300 -30 1 0 5040 -15120 | +| 162 | Lah:Inv:Rev | InvRev | A111596 | 1 0 1 0 2 1 0 6 6 1 0 24 36 12 1 0 120 240 120 20 1 0 720 1800 1200 300 30 1 0 5040 15120 12600 | +| 163 | Lah:Inv:Rev | Acc | missing | 1 1 1 1 -1 -1 1 -5 1 1 1 -11 25 1 1 1 -19 101 -139 -19 -19 1 -29 271 -929 871 151 151 1 -41 589 | +| 164 | Lah:Inv:Rev | AccRev | missing | 1 0 1 0 -2 -1 0 6 0 1 0 -24 12 0 1 0 120 -120 0 -20 -19 0 -720 1080 -120 180 150 151 0 5040 -10080 | +| 165 | Lah:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -2 1 -6 0 1 -12 6 1 -20 36 0 1 -30 120 -24 1 -42 300 -240 0 1 -56 630 -1200 120 1 -72 | +| 166 | Lah:Inv:Rev | Diffx1 | missing | 1 1 0 1 -4 0 1 -12 18 0 1 -24 108 -96 0 1 -40 360 -960 600 0 1 -60 900 -4800 9000 -4320 0 1 -84 | +| 167 | Lah:Inv:Rev | RowSum | A111884 | 1 1 -1 1 1 -19 151 -1091 7841 -56519 396271 -2442439 7701409 145269541 -4833158329 104056218421 | +| 168 | Lah:Inv:Rev | EvenSum | A096965 | 1 1 1 7 37 241 2101 18271 201097 2270017 29668681 410815351 6238931821 101560835377 1765092183037 | +| 169 | Lah:Inv:Rev | OddSum | A096939 | 0 0 -2 -6 -36 -260 -1950 -19362 -193256 -2326536 -29272410 -413257790 -6231230412 -101415565836 | +| 170 | Lah:Inv:Rev | AltSum | A000262 | 1 1 3 13 73 501 4051 37633 394353 4596553 58941091 824073141 12470162233 202976401213 3535017524403 | +| 171 | Lah:Inv:Rev | DiagSum | missing | 1 1 1 -1 -5 -5 17 67 19 -505 -1295 2047 18587 19939 -182255 -701605 835267 12424447 17996849 | +| 172 | Lah:Inv:Rev | AccSum | A202410 | 1 2 -1 -2 17 -94 487 -2386 9473 -638 -727729 14280542 -222283631 3235193378 -46058318473 | +| 173 | Lah:Inv:Rev | AccRevSum | missing | 1 1 -3 7 -11 -39 721 -7433 68937 -621071 5482981 -46032249 330103357 -1056150263 -31272214791 | +| 174 | Lah:Inv:Rev | RowLcm | A359365 | 1 1 2 6 72 240 3600 75600 1411200 10160640 457228800 4191264000 184415616000 2054916864000 | +| 175 | Lah:Inv:Rev | RowGcd | A103505 | 1 1 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 176 | Lah:Inv:Rev | RowMax | A002868 | 1 1 2 6 36 240 1800 15120 141120 1693440 21772800 299376000 4390848000 68497228800 1133317785600 | +| 177 | Lah:Inv:Rev | ColMiddle | missing | 1 1 -2 -6 36 120 -1200 -4200 58800 211680 -3810240 -13970880 307359360 1141620480 -29682132480 | +| 178 | Lah:Inv:Rev | CentralE | A187535 | 1 -2 36 -1200 58800 -3810240 307359360 -29682132480 3339239904000 -428906814336000 | +| 179 | Lah:Inv:Rev | CentralO | A248045 | 1 -6 120 -4200 211680 -13970880 1141620480 -111307996800 12614906304000 -1629845894476800 | +| 180 | Lah:Inv:Rev | BinConv | A344050 | 1 1 -3 1 73 -699 3001 24697 -783999 10946233 -80958779 -656003919 40097528857 -944102982419 | +| 181 | Lah:Inv:Rev | InvBinConv | A344051 | 1 -1 5 -37 361 -4301 60001 -954325 16984577 -333572041 7151967181 -165971975621 4139744524345 | +| 182 | Lah:Inv:Rev | TransNat0 | missing | 0 0 -2 6 -12 -20 570 -6342 61096 -564552 5086710 -43589810 322401948 -1201419804 -26439056462 | +| 183 | Lah:Inv:Rev | TransNat1 | missing | 1 1 -3 7 -11 -39 721 -7433 68937 -621071 5482981 -46032249 330103357 -1056150263 -31272214791 | +| 184 | Lah:Inv:Rev | TransSqrs | missing | 0 0 -2 18 -84 220 1170 -30282 416248 -4963464 55896390 -603127910 6076256868 -51496123692 | +| 185 | Lah:Inv:Rev | PosHalf | A317364 | 1 2 0 -4 16 -48 64 800 -12288 127232 -1150976 9266688 -58726400 68777984 7510646784 -207794409472 | +| 186 | Lah:Inv:Rev | NegHalf | A052897 | 1 -2 8 -44 304 -2512 24064 -261536 3173888 -42483968 621159424 -9841950208 167879268352 | +| 187 | Lah:Inv:Rev | DiagRow1 | B155456 | 1 -2 6 -24 120 -720 5040 -40320 362880 -3628800 39916800 -479001600 6227020800 -87178291200 | +| 188 | Lah:Inv:Rev | DiagRow2 | A001286 | 1 -6 36 -240 1800 -15120 141120 -1451520 16329600 -199584000 2634508800 -37362124800 566658892800 | +| 189 | Lah:Inv:Rev | DiagRow3 | B001754 | 1 -12 120 -1200 12600 -141120 1693440 -21772800 299376000 -4390848000 68497228800 -1133317785600 | +| 190 | Lah:Inv:Rev | DiagCol1 | A002378 | 0 -2 -6 -12 -20 -30 -42 -56 -72 -90 -110 -132 -156 -182 -210 -240 -272 -306 -342 -380 -420 -462 | +| 191 | Lah:Inv:Rev | DiagCol2 | A083374 | 0 6 36 120 300 630 1176 2016 3240 4950 7260 10296 14196 19110 25200 32640 41616 52326 64980 79800 | +| 192 | Lah:Inv:Rev | DiagCol3 | A253285 | 0 -24 -240 -1200 -4200 -11760 -28224 -60480 -118800 -217800 -377520 -624624 -993720 -1528800 | +| 193 | Lah:Inv:Rev | Poly | A065372 | 1 1 1 1 1 1 1 -1 1 1 1 1 -3 1 1 1 1 13 -5 1 1 1 -19 -71 37 -7 1 1 1 151 441 -359 73 -9 1 1 1 -1091 | +| 194 | Lah:Inv:Rev | PolyRow2 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | +| 195 | Lah:Inv:Rev | PolyRow3 | A003154 | 1 1 13 37 73 121 181 253 337 433 541 661 793 937 1093 1261 1441 1633 1837 2053 2281 2521 2773 3037 | +| 196 | Lah:Inv:Rev | PolyCol2 | A318223 | 1 1 -3 13 -71 441 -2699 9157 206193 -8443151 236126701 -6169406979 161388751657 -4327824442967 | +| 197 | Lah:Inv:Rev | PolyCol3 | missing | 1 1 -5 37 -359 4261 -58949 912745 -15139823 251548201 -3521449349 4011468781 3225489384745 | +| 198 | Lah:Inv:Rev | PolyDiag | A318224 | 1 1 -3 37 -1007 47901 -3514499 367671697 -51952729023 9529552851193 -2201241933756899 | \ No newline at end of file diff --git a/data/md/Lehmer.md b/data/md/Lehmer.md index 487dedc..2ebb96e 100644 --- a/data/md/Lehmer.md +++ b/data/md/Lehmer.md @@ -40,119 +40,159 @@ | 37 | Lehmer:Std | PolyCol2 | missing | 1 2 6 28 194 1844 22478 334996 5903850 120116148 2770736934 71453347508 2037107356402 | | 38 | Lehmer:Std | PolyCol3 | missing | 1 3 12 66 495 4881 60603 912645 16190472 330894912 7657986573 197983974909 5655576667605 | | 39 | Lehmer:Std | PolyDiag | missing | 1 1 6 66 1052 21905 562242 17141481 604952952 24249218922 1088041350990 54018946202573 | -| 40 | Lehmer:Rev | Triangle | missing | 1 1 0 1 1 0 1 3 4 0 1 6 19 27 0 1 10 55 175 256 0 1 15 125 660 2101 3125 0 1 21 245 1890 9751 31031 | -| 41 | Lehmer:Rev | InvRev | A354795 | 1 0 1 0 -1 1 0 -1 -3 1 0 -2 -1 -6 1 0 -6 0 5 -10 1 0 -24 4 15 25 -15 1 0 -120 28 49 35 70 -21 1 0 | -| 42 | Lehmer:Rev | Acc | missing | 1 1 1 1 2 2 1 4 8 8 1 7 26 53 53 1 11 66 241 497 497 1 16 141 801 2902 6027 6027 1 22 267 2157 | -| 43 | Lehmer:Rev | AccRev | missing | 1 0 1 0 1 2 0 4 7 8 0 27 46 52 53 0 256 431 486 496 497 0 3125 5226 5886 6011 6026 6027 0 46656 | -| 44 | Lehmer:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 3 0 1 6 4 1 10 19 0 1 15 55 27 1 21 125 175 0 1 28 245 660 256 1 36 434 1890 2101 0 1 | -| 45 | Lehmer:Rev | Diffx1 | missing | 1 1 0 1 2 0 1 6 12 0 1 12 57 108 0 1 20 165 700 1280 0 1 30 375 2640 10505 18750 0 1 42 735 7560 | -| 46 | Lehmer:Rev | RowSum | A195979 | 1 1 2 8 53 497 6027 89595 1576682 32047986 738772383 19042778713 542704904381 16944005908637 | -| 47 | Lehmer:Rev | EvenSum | missing | 1 1 1 5 20 312 2227 56653 577663 20337327 269400564 12110034994 197313157857 10790486271645 | -| 48 | Lehmer:Rev | OddSum | missing | 0 0 1 3 33 185 3800 32942 999019 11710659 469371819 6932743719 345391746524 6153519636992 | -| 49 | Lehmer:Rev | AltSum | A290219 | 1 1 0 2 -13 127 -1573 23711 -421356 8626668 -199971255 5177291275 -148078588667 4636966634653 | -| 50 | Lehmer:Rev | DiagSum | missing | 1 1 1 2 4 11 30 98 322 1190 4462 18186 75520 333952 1507164 7147736 34608912 174505668 898042208 | -| 51 | Lehmer:Rev | AccSum | missing | 1 2 5 21 140 1313 15915 236484 4160175 84537313 1948326616 50211394159 1430769984033 44664919048610 | -| 52 | Lehmer:Rev | AccRevSum | missing | 1 1 3 19 178 2166 32301 569871 11606645 267990533 6916941980 197344729110 6167098677301 | -| 53 | Lehmer:Rev | RowLcm | missing | 1 1 1 12 1026 492800 78787500 10083803970240 27122723143943517881700 | -| 54 | Lehmer:Rev | RowMax | A177885 | 1 1 1 4 27 256 3125 46656 823543 16777216 387420489 10000000000 285311670611 8916100448256 | -| 55 | Lehmer:Rev | ColMiddle | missing | 1 1 1 3 19 55 660 1890 33621 95781 2263065 6427575 189556312 537306484 19004025040 53791898160 | -| 56 | Lehmer:Rev | CentralE | missing | 1 1 19 660 33621 2263065 189556312 19004025040 2219237925333 295863079545891 44341076439851555 | -| 57 | Lehmer:Rev | CentralO | missing | 1 3 55 1890 95781 6427575 537306484 53791898160 6275077781973 835898091070185 125195263380478655 | -| 58 | Lehmer:Rev | BinConv | missing | 1 1 3 22 247 3631 65431 1390971 34000275 938046703 28802563636 973403048586 35885630672233 | -| 59 | Lehmer:Rev | InvBinConv | missing | 1 -1 -1 -4 -17 -31 1351 44925 1172963 29981273 788395396 21624745614 619619507497 18464045211403 | -| 60 | Lehmer:Rev | TransNat0 | missing | 0 0 1 11 125 1669 26274 480276 10029963 235942547 6178169597 178301950397 5624393772920 | -| 61 | Lehmer:Rev | TransNat1 | missing | 1 1 3 19 178 2166 32301 569871 11606645 267990533 6916941980 197344729110 6167098677301 | -| 62 | Lehmer:Rev | TransSqrs | missing | 0 0 1 19 325 5901 118196 2629418 64776559 1756875655 52124899375 1681324628875 58627226434140 | -| 63 | Lehmer:Rev | PosHalf | missing | 1 2 6 28 194 1844 22478 334996 5903850 120116148 2770736934 71453347508 2037107356402 | -| 64 | Lehmer:Rev | NegHalf | missing | 1 -2 2 -4 -10 -124 -1542 -23580 -423058 -8724348 -203374782 -5289091196 -151831692730 | -| 65 | Lehmer:Rev | DiagRow1 | A000312 | 1 1 4 27 256 3125 46656 823543 16777216 387420489 10000000000 285311670611 8916100448256 | -| 66 | Lehmer:Rev | DiagRow2 | A045531 | 1 3 19 175 2101 31031 543607 11012415 253202761 6513215599 185311670611 5777672071535 | -| 67 | Lehmer:Rev | DiagRow3 | B281596 | 1 6 55 660 9751 170898 3463615 79669320 2050086511 58346365110 1819621847407 61705703989020 | -| 68 | Lehmer:Rev | DiagCol1 | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | -| 69 | Lehmer:Rev | DiagCol2 | A215862 | 0 4 19 55 125 245 434 714 1110 1650 2365 3289 4459 5915 7700 9860 12444 15504 19095 23275 28105 | -| 70 | Lehmer:Rev | DiagCol3 | missing | 0 27 175 660 1890 4550 9702 18900 34320 58905 96525 152152 232050 343980 497420 703800 976752 | -| 71 | Lehmer:Rev | Poly | missing | 1 1 1 1 1 1 1 2 1 1 1 8 3 1 1 1 53 23 4 1 1 1 497 305 46 5 1 1 1 6027 5737 919 77 6 1 1 1 89595 | -| 72 | Lehmer:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 73 | Lehmer:Rev | PolyRow3 | A033951 | 1 8 23 46 77 116 163 218 281 352 431 518 613 716 827 946 1073 1208 1351 1502 1661 1828 2003 2186 | -| 74 | Lehmer:Rev | PolyCol2 | missing | 1 1 3 23 305 5737 139427 4151135 146249217 5949873009 274474594467 14156477873287 807206849914225 | -| 75 | Lehmer:Rev | PolyCol3 | missing | 1 1 4 46 919 25987 948547 42395887 2241756400 136859774824 9473301026461 733088533203391 | -| 76 | Lehmer:Rev | PolyDiag | missing | 1 1 3 46 2057 183301 27170047 6034642335 1875338217825 776758174028938 413553645413381451 | -| 77 | Lehmer:Inv | Triangle | A354795 | 1 0 1 0 -1 1 0 -1 -3 1 0 -2 -1 -6 1 0 -6 0 5 -10 1 0 -24 4 15 25 -15 1 0 -120 28 49 35 70 -21 1 0 | -| 78 | Lehmer:Inv | Rev | missing | 1 1 0 1 -1 0 1 -3 -1 0 1 -6 -1 -2 0 1 -10 5 0 -6 0 1 -15 25 15 4 -24 0 1 -21 70 35 49 28 -120 0 1 | -| 79 | Lehmer:Inv | RevInv | missing | 1 1 0 1 1 0 1 3 4 0 1 6 19 27 0 1 10 55 175 256 0 1 15 125 660 2101 3125 0 1 21 245 1890 9751 31031 | -| 80 | Lehmer:Inv | Acc | missing | 1 0 1 0 -1 0 0 -1 -4 -3 0 -2 -3 -9 -8 0 -6 -6 -1 -11 -10 0 -24 -20 -5 20 5 6 0 -120 -92 -43 -8 62 | -| 81 | Lehmer:Inv | AccRev | missing | 1 1 1 1 0 0 1 -2 -3 -3 1 -5 -6 -8 -8 1 -9 -4 -4 -10 -10 1 -14 11 26 30 6 6 1 -20 50 85 134 162 42 | -| 82 | Lehmer:Inv | AntiDiag | missing | 1 0 0 1 0 -1 0 -1 1 0 -2 -3 0 -6 -1 1 0 -24 0 -6 0 -120 4 5 1 0 -720 28 15 -10 0 -5040 188 49 25 1 | -| 83 | Lehmer:Inv | Diffx1 | missing | 1 0 2 0 -2 3 0 -2 -9 4 0 -4 -3 -24 5 0 -12 0 20 -50 6 0 -48 12 60 125 -90 7 0 -240 84 196 175 420 | -| 84 | Lehmer:Inv | RowSum | A176118 | 1 1 0 -3 -8 -10 6 42 -160 -2952 -27720 -253440 -2553528 -28562664 -349272000 -4618376280 | -| 85 | Lehmer:Inv | EvenSum | missing | 1 0 1 -3 0 -10 30 42 392 1080 9720 83160 871992 9522240 112875672 1440913320 19782929280 | -| 86 | Lehmer:Inv | OddSum | missing | 0 1 -1 0 -8 0 -24 0 -552 -4032 -37440 -336600 -3425520 -38084904 -462147672 -6059289600 | -| 87 | Lehmer:Inv | AltSum | A005727 | 1 -1 2 -3 8 -10 54 42 944 5112 47160 419760 4297512 47607144 575023344 7500202920 105180931200 | -| 88 | Lehmer:Inv | DiagSum | missing | 1 0 1 -1 0 -5 -6 -30 -110 -687 -4777 -38736 -350800 -3525273 -38918468 -468386625 -6103700165 | -| 89 | Lehmer:Inv | AccSum | missing | 1 1 -1 -8 -22 -34 -18 -118 -2616 -29160 -282960 -2858448 -31603944 -382467864 -5018253576 | -| 90 | Lehmer:Inv | AccRevSum | missing | 1 2 1 -7 -26 -36 66 496 1016 -3312 -49680 -436272 -4145448 -45972096 -570098424 -7658244120 | -| 91 | Lehmer:Inv | RowLcm | missing | 1 1 1 3 6 30 600 5880 18239760 435037680 68769684547200 84388489622236800 723633960319757625600 | -| 92 | Lehmer:Inv | RowGcd | B114890 | 1 1 1 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 93 | Lehmer:Inv | RowMax | missing | 1 1 1 3 6 10 25 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 94 | Lehmer:Inv | ColMiddle | missing | 1 0 -1 -1 -1 0 15 49 49 0 -1365 -7645 -7645 0 311311 2475473 2475473 0 -132652377 -1367593305 | -| 95 | Lehmer:Inv | CentralE | A298511 | 1 -1 -1 15 49 -1365 -7645 311311 2475473 -132652377 -1367593305 90881245455 1151541572401 | -| 96 | Lehmer:Inv | CentralO | missing | 0 -1 0 49 0 -7645 0 2475473 0 -1367593305 0 1151541572401 0 -1373222414339685 0 2202549127844351265 | -| 97 | Lehmer:Inv | BinConv | missing | 1 1 -1 -11 -37 -29 502 4012 17999 43171 -93629 -1736965 -10217612 -15805568 470437528 9107848986 | -| 98 | Lehmer:Inv | InvBinConv | missing | 1 1 3 7 27 71 370 680 8015 -12341 372031 -2830563 38292628 -460951568 6421791272 -93716919894 | -| 99 | Lehmer:Inv | TransNat0 | missing | 0 1 1 -4 -18 -26 60 454 1176 -360 -21960 -182832 -1591920 -17409432 -220826424 -3039867840 | -| 100 | Lehmer:Inv | TransNat1 | missing | 1 2 1 -7 -26 -36 66 496 1016 -3312 -49680 -436272 -4145448 -45972096 -570098424 -7658244120 | -| 101 | Lehmer:Inv | TransSqrs | missing | 0 1 3 -4 -44 -96 188 2036 6816 6264 -53328 -309024 -603792 2422536 21808824 -94797840 -5753065344 | -| 102 | Lehmer:Inv | PosHalf | missing | 1 1 -1 -9 -31 -95 -513 -5481 -72511 -1059327 -17258625 -314205705 -6342349407 -140644383711 | -| 103 | Lehmer:Inv | NegHalf | missing | 1 1 3 3 25 -55 843 -7749 99377 -1405359 22766355 -412221645 8272106313 -182245108071 4374795235419 | -| 104 | Lehmer:Inv | DiagRow1 | A000217 | 0 -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 | -| 105 | Lehmer:Inv | DiagRow2 | A059302 | 0 -1 -1 5 25 70 154 294 510 825 1265 1859 2639 3640 4900 6460 8364 10659 13395 16625 20405 24794 | -| 106 | Lehmer:Inv | DiagRow3 | missing | 0 -2 0 15 35 0 -252 -1050 -2970 -6930 -14300 -27027 -47775 -80080 -128520 -198900 -298452 -436050 | -| 107 | Lehmer:Inv | DiagCol1 | A155456 | 1 -1 -1 -2 -6 -24 -120 -720 -5040 -40320 -362880 -3628800 -39916800 -479001600 -6227020800 | -| 108 | Lehmer:Inv | DiagCol2 | A045406 | 1 -3 -1 0 4 28 188 1368 11016 98208 964512 10370880 121337280 1535880960 20924455680 305396421120 | -| 109 | Lehmer:Inv | DiagCol3 | A347276 | 1 -6 5 15 49 196 944 5340 34716 254760 2078856 18620784 180973584 1887504768 20887922304 | -| 110 | Lehmer:Inv | Poly | missing | 1 0 1 0 1 1 0 0 2 1 0 -3 2 3 1 0 -8 -6 6 4 1 0 -10 -40 -3 12 5 1 0 6 -100 -96 12 20 6 1 0 42 72 | -| 111 | Lehmer:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 112 | Lehmer:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | -| 113 | Lehmer:Inv | PolyRow3 | missing | 0 -3 -6 -3 12 45 102 189 312 477 690 957 1284 1677 2142 2685 3312 4029 4842 5757 6780 7917 9174 | -| 114 | Lehmer:Inv | PolyCol2 | missing | 1 2 2 -6 -40 -100 72 1848 8192 8352 -139680 -1235520 -6657792 -37195392 -382335744 -5807571840 | -| 115 | Lehmer:Inv | PolyCol3 | missing | 1 3 6 -3 -96 -450 -522 7938 66384 209304 -772200 -13899600 -82230552 -114793848 2417497488 | -| 116 | Lehmer:Inv | PolyDiag | missing | 1 1 2 -3 -152 -2530 -34344 -369222 -1265536 97121592 4374338400 129274334640 2899756412928 | -| 117 | Lehmer:Inv:Rev | Triangle | missing | 1 1 0 1 -1 0 1 -3 -1 0 1 -6 -1 -2 0 1 -10 5 0 -6 0 1 -15 25 15 4 -24 0 1 -21 70 35 49 28 -120 0 1 | -| 118 | Lehmer:Inv:Rev | Rev | A354795 | 1 0 1 0 -1 1 0 -1 -3 1 0 -2 -1 -6 1 0 -6 0 5 -10 1 0 -24 4 15 25 -15 1 0 -120 28 49 35 70 -21 1 0 | -| 119 | Lehmer:Inv:Rev | InvRev | A354794 | 1 0 1 0 1 1 0 4 3 1 0 27 19 6 1 0 256 175 55 10 1 0 3125 2101 660 125 15 1 0 46656 31031 9751 1890 | -| 120 | Lehmer:Inv:Rev | Acc | missing | 1 1 1 1 0 0 1 -2 -3 -3 1 -5 -6 -8 -8 1 -9 -4 -4 -10 -10 1 -14 11 26 30 6 6 1 -20 50 85 134 162 42 | -| 121 | Lehmer:Inv:Rev | AccRev | missing | 1 0 1 0 -1 0 0 -1 -4 -3 0 -2 -3 -9 -8 0 -6 -6 -1 -11 -10 0 -24 -20 -5 20 5 6 0 -120 -92 -43 -8 62 | -| 122 | Lehmer:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -1 1 -3 0 1 -6 -1 1 -10 -1 0 1 -15 5 -2 1 -21 25 0 0 1 -28 70 15 -6 1 -36 154 35 4 0 1 | -| 123 | Lehmer:Inv:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 -6 -3 0 1 -12 -3 -8 0 1 -20 15 0 -30 0 1 -30 75 60 20 -144 0 1 -42 210 140 245 168 | -| 124 | Lehmer:Inv:Rev | RowSum | A176118 | 1 1 0 -3 -8 -10 6 42 -160 -2952 -27720 -253440 -2553528 -28562664 -349272000 -4618376280 | -| 125 | Lehmer:Inv:Rev | EvenSum | missing | 1 1 1 0 0 0 30 0 392 -4032 9720 -336600 871992 -38084904 112875672 -6059289600 19782929280 | -| 126 | Lehmer:Inv:Rev | OddSum | missing | 0 0 -1 -3 -8 -10 -24 42 -552 1080 -37440 83160 -3425520 9522240 -462147672 1440913320 -85398001920 | -| 127 | Lehmer:Inv:Rev | AltSum | A005727 | 1 1 2 3 8 10 54 -42 944 -5112 47160 -419760 4297512 -47607144 575023344 -7500202920 105180931200 | -| 128 | Lehmer:Inv:Rev | DiagSum | missing | 1 1 1 0 -2 -6 -10 -11 5 52 158 275 281 -445 -2581 -7919 -13197 -13592 39286 167332 581798 739797 | -| 129 | Lehmer:Inv:Rev | AccSum | missing | 1 2 1 -7 -26 -36 66 496 1016 -3312 -49680 -436272 -4145448 -45972096 -570098424 -7658244120 | -| 130 | Lehmer:Inv:Rev | AccRevSum | missing | 1 1 -1 -8 -22 -34 -18 -118 -2616 -29160 -282960 -2858448 -31603944 -382467864 -5018253576 | -| 131 | Lehmer:Inv:Rev | RowLcm | missing | 1 1 1 3 6 30 600 5880 18239760 435037680 68769684547200 84388489622236800 723633960319757625600 | -| 132 | Lehmer:Inv:Rev | RowGcd | B114890 | 1 1 1 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 133 | Lehmer:Inv:Rev | RowMax | missing | 1 1 1 3 6 10 25 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 134 | Lehmer:Inv:Rev | ColMiddle | missing | 1 1 -1 -3 -1 5 15 35 49 -231 -1365 -3003 -7645 35321 311311 667095 2475473 -11321167 -132652377 | -| 135 | Lehmer:Inv:Rev | CentralE | A298511 | 1 -1 -1 15 49 -1365 -7645 311311 2475473 -132652377 -1367593305 90881245455 1151541572401 | -| 136 | Lehmer:Inv:Rev | CentralO | missing | 1 -3 5 35 -231 -3003 35321 667095 -11321167 -280043907 6216178605 190024422315 -5212705798535 | -| 137 | Lehmer:Inv:Rev | BinConv | missing | 1 1 -1 -11 -37 -29 502 4012 17999 43171 -93629 -1736965 -10217612 -15805568 470437528 9107848986 | -| 138 | Lehmer:Inv:Rev | InvBinConv | missing | 1 -1 3 -7 27 -71 370 -680 8015 12341 372031 2830563 38292628 460951568 6421791272 93716919894 | -| 139 | Lehmer:Inv:Rev | TransNat0 | missing | 0 0 -1 -5 -14 -24 -24 -160 -2456 -26208 -255240 -2605008 -29050416 -353905200 -4668981576 | -| 140 | Lehmer:Inv:Rev | TransNat1 | missing | 1 1 -1 -8 -22 -34 -18 -118 -2616 -29160 -282960 -2858448 -31603944 -382467864 -5018253576 | -| 141 | Lehmer:Inv:Rev | TransSqrs | missing | 0 0 -1 -7 -28 -86 -316 -2262 -22240 -226368 -2386128 -26952960 -330105744 -4372022448 -62252363304 | -| 142 | Lehmer:Inv:Rev | PosHalf | missing | 1 2 2 -6 -40 -100 72 1848 8192 8352 -139680 -1235520 -6657792 -37195392 -382335744 -5807571840 | -| 143 | Lehmer:Inv:Rev | NegHalf | A265945 | 1 -2 6 -18 64 -220 888 -3192 15104 -48096 338400 -285120 13728768 75484032 1327431168 15621137280 | -| 144 | Lehmer:Inv:Rev | DiagRow1 | A155456 | 1 -1 -1 -2 -6 -24 -120 -720 -5040 -40320 -362880 -3628800 -39916800 -479001600 -6227020800 | -| 145 | Lehmer:Inv:Rev | DiagRow2 | A045406 | 1 -3 -1 0 4 28 188 1368 11016 98208 964512 10370880 121337280 1535880960 20924455680 305396421120 | -| 146 | Lehmer:Inv:Rev | DiagRow3 | A347276 | 1 -6 5 15 49 196 944 5340 34716 254760 2078856 18620784 180973584 1887504768 20887922304 | -| 147 | Lehmer:Inv:Rev | DiagCol1 | A000217 | 0 -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 | -| 148 | Lehmer:Inv:Rev | DiagCol2 | A059302 | 0 -1 -1 5 25 70 154 294 510 825 1265 1859 2639 3640 4900 6460 8364 10659 13395 16625 20405 24794 | -| 149 | Lehmer:Inv:Rev | DiagCol3 | missing | 0 -2 0 15 35 0 -252 -1050 -2970 -6930 -14300 -27027 -47775 -80080 -128520 -198900 -298452 -436050 | -| 150 | Lehmer:Inv:Rev | Poly | A141901 | 1 1 1 1 1 1 1 0 1 1 1 -3 -1 1 1 1 -8 -9 -2 1 1 1 -10 -31 -17 -3 1 1 1 6 -95 -80 -27 -4 1 1 1 42 | -| 151 | Lehmer:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 152 | Lehmer:Inv:Rev | PolyRow3 | A014209 | 1 -3 -9 -17 -27 -39 -53 -69 -87 -107 -129 -153 -179 -207 -237 -269 -303 -339 -377 -417 -459 -503 | -| 153 | Lehmer:Inv:Rev | PolyCol2 | missing | 1 1 -1 -9 -31 -95 -513 -5481 -72511 -1059327 -17258625 -314205705 -6342349407 -140644383711 | -| 154 | Lehmer:Inv:Rev | PolyCol3 | missing | 1 1 -2 -17 -80 -470 -4922 -75194 -1384688 -29410424 -710697320 -19293134960 -581540653592 | -| 155 | Lehmer:Inv:Rev | PolyDiag | missing | 1 1 -1 -17 -167 -3674 -177389 -13514346 -1454033503 -209912367752 -39165967369449 -9173351458491120 | \ No newline at end of file +| 40 | Lehmer:Alt | Triangle | A354794 | 1 0 -1 0 -1 1 0 -4 3 -1 0 -27 19 -6 1 0 -256 175 -55 10 -1 0 -3125 2101 -660 125 -15 1 0 -46656 | +| 41 | Lehmer:Alt | Rev | missing | 1 -1 0 1 -1 0 -1 3 -4 0 1 -6 19 -27 0 -1 10 -55 175 -256 0 1 -15 125 -660 2101 -3125 0 -1 21 -245 | +| 42 | Lehmer:Alt | Inv | missing | 1 0 1 0 1 1 0 1 -3 1 0 14 -37 6 1 0 -4 30 -5 -10 1 0 -126 994 -165 -275 15 1 0 582 -3878 651 1435 | +| 43 | Lehmer:Alt | RevInv | missing | 1 1 0 1 1 0 1 -3 1 0 1 6 -37 14 0 1 -10 -5 30 -4 0 1 15 -275 -165 994 -126 0 1 -21 -70 1435 651 | +| 44 | Lehmer:Alt | Acc | missing | 1 0 -1 0 -1 0 0 -4 -1 -2 0 -27 -8 -14 -13 0 -256 -81 -136 -126 -127 0 -3125 -1024 -1684 -1559 -1574 | +| 45 | Lehmer:Alt | AccRev | missing | 1 -1 -1 1 0 0 -1 2 -2 -2 1 -5 14 -13 -13 -1 9 -46 129 -127 -127 1 -14 111 -549 1552 -1573 -1573 -1 | +| 46 | Lehmer:Alt | AntiDiag | missing | 1 0 0 -1 0 -1 0 -4 1 0 -27 3 0 -256 19 -1 0 -3125 175 -6 0 -46656 2101 -55 1 0 -823543 31031 -660 | +| 47 | Lehmer:Alt | Diffx1 | missing | 1 0 -2 0 -2 3 0 -8 9 -4 0 -54 57 -24 5 0 -512 525 -220 50 -6 0 -6250 6303 -2640 625 -90 7 0 -93312 | +| 48 | Lehmer:Alt | RowSum | A290219 | 1 -1 0 -2 -13 -127 -1573 -23711 -421356 -8626668 -199971255 -5177291275 -148078588667 | +| 49 | Lehmer:Alt | EvenSum | missing | 1 0 1 3 20 185 2227 32942 577663 11710659 269400564 6932743719 197313157857 6153519636992 | +| 50 | Lehmer:Alt | OddSum | missing | 0 -1 -1 -5 -33 -312 -3800 -56653 -999019 -20337327 -469371819 -12110034994 -345391746524 | +| 51 | Lehmer:Alt | AltSum | A195979 | 1 1 2 8 53 497 6027 89595 1576682 32047986 738772383 19042778713 542704904381 16944005908637 | +| 52 | Lehmer:Alt | DiagSum | missing | 1 0 -1 -1 -3 -24 -238 -2956 -44609 -793162 -16243236 -376577097 -9750227477 -278877440355 | +| 53 | Lehmer:Alt | AccSum | missing | 1 -1 -1 -7 -62 -726 -10539 -182295 -3657331 -83452061 -2133485080 -60393952730 -1874982282491 | +| 54 | Lehmer:Alt | AccRevSum | missing | 1 -2 1 -3 -16 -163 -2045 -31104 -556229 -11441287 -266169980 -6910833845 -198117958847 | +| 55 | Lehmer:Alt | RowLcm | missing | 1 1 1 12 1026 492800 78787500 10083803970240 27122723143943517881700 | +| 56 | Lehmer:Alt | RowMax | A177885 | 1 1 1 4 27 256 3125 46656 823543 16777216 387420489 10000000000 285311670611 8916100448256 | +| 57 | Lehmer:Alt | ColMiddle | missing | 1 0 -1 -4 19 175 -660 -9751 33621 688506 -2263065 -59411605 189556312 6078494136 -19004025040 | +| 58 | Lehmer:Alt | CentralE | missing | 1 -1 19 -660 33621 -2263065 189556312 -19004025040 2219237925333 -295863079545891 44341076439851555 | +| 59 | Lehmer:Alt | CentralO | missing | 0 -4 175 -9751 688506 -59411605 6078494136 -720369582933 97118267918100 -14683524204220950 | +| 60 | Lehmer:Alt | BinConv | missing | 1 -1 -1 -4 -17 -31 1351 44925 1172963 29981273 788395396 21624745614 619619507497 18464045211403 | +| 61 | Lehmer:Alt | InvBinConv | missing | 1 -1 3 -22 247 -3631 65431 -1390971 34000275 -938046703 28802563636 -973403048586 35885630672233 | +| 62 | Lehmer:Alt | TransNat0 | missing | 0 -1 1 -1 -3 -36 -472 -7393 -134873 -2814619 -66198725 -1733542570 -50039370180 -1578825105157 | +| 63 | Lehmer:Alt | TransNat1 | missing | 1 -2 1 -3 -16 -163 -2045 -31104 -556229 -11441287 -266169980 -6910833845 -198117958847 | +| 64 | Lehmer:Alt | TransSqrs | missing | 0 -1 3 -1 11 84 1000 14531 251305 5037989 114844257 2933087178 82947996884 2572839049299 | +| 65 | Lehmer:Alt | PosHalf | missing | 1 -1 -1 -11 -151 -2897 -71193 -2134827 -75588175 -3086475009 -142784470929 -7380788246251 | +| 66 | Lehmer:Alt | NegHalf | missing | 1 -1 3 -23 305 -5737 139427 -4151135 146249217 -5949873009 274474594467 -14156477873287 | +| 67 | Lehmer:Alt | DiagRow1 | A000217 | 0 -1 3 -6 10 -15 21 -28 36 -45 55 -66 78 -91 105 -120 136 -153 171 -190 210 -231 253 -276 300 -325 | +| 68 | Lehmer:Alt | DiagRow2 | A215862 | 0 -4 19 -55 125 -245 434 -714 1110 -1650 2365 -3289 4459 -5915 7700 -9860 12444 -15504 19095 -23275 | +| 69 | Lehmer:Alt | DiagRow3 | missing | 0 -27 175 -660 1890 -4550 9702 -18900 34320 -58905 96525 -152152 232050 -343980 497420 -703800 | +| 70 | Lehmer:Alt | DiagCol1 | A000312 | -1 -1 -4 -27 -256 -3125 -46656 -823543 -16777216 -387420489 -10000000000 -285311670611 | +| 71 | Lehmer:Alt | DiagCol2 | A045531 | 1 3 19 175 2101 31031 543607 11012415 253202761 6513215599 185311670611 5777672071535 | +| 72 | Lehmer:Alt | DiagCol3 | B281596 | -1 -6 -55 -660 -9751 -170898 -3463615 -79669320 -2050086511 -58346365110 -1819621847407 | +| 73 | Lehmer:Alt | Poly | missing | 1 0 1 0 -1 1 0 0 -2 1 0 -2 2 -3 1 0 -13 -4 6 -4 1 0 -127 -10 -12 12 -5 1 0 -1573 -124 9 -32 20 -6 1 | +| 74 | Lehmer:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | Lehmer:Alt | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 76 | Lehmer:Alt | PolyRow3 | A242659 | 0 -2 -4 -12 -32 -70 -132 -224 -352 -522 -740 -1012 -1344 -1742 -2212 -2760 -3392 -4114 -4932 -5852 | +| 77 | Lehmer:Alt | PolyCol2 | missing | 1 -2 2 -4 -10 -124 -1542 -23580 -423058 -8724348 -203374782 -5289091196 -151831692730 | +| 78 | Lehmer:Alt | PolyCol3 | missing | 1 -3 6 -12 9 -111 -1077 -17289 -313050 -6515562 -152969301 -4001127807 -115402527123 -3639124229175 | +| 79 | Lehmer:Alt | PolyDiag | missing | 1 -1 2 -12 68 -655 6342 -83405 1147400 -19186884 341301210 -6951750575 151260026700 -3641972785945 | +| 80 | Lehmer:Rev | Triangle | missing | 1 1 0 1 1 0 1 3 4 0 1 6 19 27 0 1 10 55 175 256 0 1 15 125 660 2101 3125 0 1 21 245 1890 9751 31031 | +| 81 | Lehmer:Rev | InvRev | A354795 | 1 0 1 0 -1 1 0 -1 -3 1 0 -2 -1 -6 1 0 -6 0 5 -10 1 0 -24 4 15 25 -15 1 0 -120 28 49 35 70 -21 1 0 | +| 82 | Lehmer:Rev | Acc | missing | 1 1 1 1 2 2 1 4 8 8 1 7 26 53 53 1 11 66 241 497 497 1 16 141 801 2902 6027 6027 1 22 267 2157 | +| 83 | Lehmer:Rev | AccRev | missing | 1 0 1 0 1 2 0 4 7 8 0 27 46 52 53 0 256 431 486 496 497 0 3125 5226 5886 6011 6026 6027 0 46656 | +| 84 | Lehmer:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 3 0 1 6 4 1 10 19 0 1 15 55 27 1 21 125 175 0 1 28 245 660 256 1 36 434 1890 2101 0 1 | +| 85 | Lehmer:Rev | Diffx1 | missing | 1 1 0 1 2 0 1 6 12 0 1 12 57 108 0 1 20 165 700 1280 0 1 30 375 2640 10505 18750 0 1 42 735 7560 | +| 86 | Lehmer:Rev | RowSum | A195979 | 1 1 2 8 53 497 6027 89595 1576682 32047986 738772383 19042778713 542704904381 16944005908637 | +| 87 | Lehmer:Rev | EvenSum | missing | 1 1 1 5 20 312 2227 56653 577663 20337327 269400564 12110034994 197313157857 10790486271645 | +| 88 | Lehmer:Rev | OddSum | missing | 0 0 1 3 33 185 3800 32942 999019 11710659 469371819 6932743719 345391746524 6153519636992 | +| 89 | Lehmer:Rev | AltSum | A290219 | 1 1 0 2 -13 127 -1573 23711 -421356 8626668 -199971255 5177291275 -148078588667 4636966634653 | +| 90 | Lehmer:Rev | DiagSum | missing | 1 1 1 2 4 11 30 98 322 1190 4462 18186 75520 333952 1507164 7147736 34608912 174505668 898042208 | +| 91 | Lehmer:Rev | AccSum | missing | 1 2 5 21 140 1313 15915 236484 4160175 84537313 1948326616 50211394159 1430769984033 44664919048610 | +| 92 | Lehmer:Rev | AccRevSum | missing | 1 1 3 19 178 2166 32301 569871 11606645 267990533 6916941980 197344729110 6167098677301 | +| 93 | Lehmer:Rev | RowLcm | missing | 1 1 1 12 1026 492800 78787500 10083803970240 27122723143943517881700 | +| 94 | Lehmer:Rev | RowMax | A177885 | 1 1 1 4 27 256 3125 46656 823543 16777216 387420489 10000000000 285311670611 8916100448256 | +| 95 | Lehmer:Rev | ColMiddle | missing | 1 1 1 3 19 55 660 1890 33621 95781 2263065 6427575 189556312 537306484 19004025040 53791898160 | +| 96 | Lehmer:Rev | CentralE | missing | 1 1 19 660 33621 2263065 189556312 19004025040 2219237925333 295863079545891 44341076439851555 | +| 97 | Lehmer:Rev | CentralO | missing | 1 3 55 1890 95781 6427575 537306484 53791898160 6275077781973 835898091070185 125195263380478655 | +| 98 | Lehmer:Rev | BinConv | missing | 1 1 3 22 247 3631 65431 1390971 34000275 938046703 28802563636 973403048586 35885630672233 | +| 99 | Lehmer:Rev | InvBinConv | missing | 1 -1 -1 -4 -17 -31 1351 44925 1172963 29981273 788395396 21624745614 619619507497 18464045211403 | +| 100 | Lehmer:Rev | TransNat0 | missing | 0 0 1 11 125 1669 26274 480276 10029963 235942547 6178169597 178301950397 5624393772920 | +| 101 | Lehmer:Rev | TransNat1 | missing | 1 1 3 19 178 2166 32301 569871 11606645 267990533 6916941980 197344729110 6167098677301 | +| 102 | Lehmer:Rev | TransSqrs | missing | 0 0 1 19 325 5901 118196 2629418 64776559 1756875655 52124899375 1681324628875 58627226434140 | +| 103 | Lehmer:Rev | PosHalf | missing | 1 2 6 28 194 1844 22478 334996 5903850 120116148 2770736934 71453347508 2037107356402 | +| 104 | Lehmer:Rev | NegHalf | missing | 1 -2 2 -4 -10 -124 -1542 -23580 -423058 -8724348 -203374782 -5289091196 -151831692730 | +| 105 | Lehmer:Rev | DiagRow1 | A000312 | 1 1 4 27 256 3125 46656 823543 16777216 387420489 10000000000 285311670611 8916100448256 | +| 106 | Lehmer:Rev | DiagRow2 | A045531 | 1 3 19 175 2101 31031 543607 11012415 253202761 6513215599 185311670611 5777672071535 | +| 107 | Lehmer:Rev | DiagRow3 | B281596 | 1 6 55 660 9751 170898 3463615 79669320 2050086511 58346365110 1819621847407 61705703989020 | +| 108 | Lehmer:Rev | DiagCol1 | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | +| 109 | Lehmer:Rev | DiagCol2 | A215862 | 0 4 19 55 125 245 434 714 1110 1650 2365 3289 4459 5915 7700 9860 12444 15504 19095 23275 28105 | +| 110 | Lehmer:Rev | DiagCol3 | missing | 0 27 175 660 1890 4550 9702 18900 34320 58905 96525 152152 232050 343980 497420 703800 976752 | +| 111 | Lehmer:Rev | Poly | missing | 1 1 1 1 1 1 1 2 1 1 1 8 3 1 1 1 53 23 4 1 1 1 497 305 46 5 1 1 1 6027 5737 919 77 6 1 1 1 89595 | +| 112 | Lehmer:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 113 | Lehmer:Rev | PolyRow3 | A033951 | 1 8 23 46 77 116 163 218 281 352 431 518 613 716 827 946 1073 1208 1351 1502 1661 1828 2003 2186 | +| 114 | Lehmer:Rev | PolyCol2 | missing | 1 1 3 23 305 5737 139427 4151135 146249217 5949873009 274474594467 14156477873287 807206849914225 | +| 115 | Lehmer:Rev | PolyCol3 | missing | 1 1 4 46 919 25987 948547 42395887 2241756400 136859774824 9473301026461 733088533203391 | +| 116 | Lehmer:Rev | PolyDiag | missing | 1 1 3 46 2057 183301 27170047 6034642335 1875338217825 776758174028938 413553645413381451 | +| 117 | Lehmer:Inv | Triangle | A354795 | 1 0 1 0 -1 1 0 -1 -3 1 0 -2 -1 -6 1 0 -6 0 5 -10 1 0 -24 4 15 25 -15 1 0 -120 28 49 35 70 -21 1 0 | +| 118 | Lehmer:Inv | Rev | missing | 1 1 0 1 -1 0 1 -3 -1 0 1 -6 -1 -2 0 1 -10 5 0 -6 0 1 -15 25 15 4 -24 0 1 -21 70 35 49 28 -120 0 1 | +| 119 | Lehmer:Inv | RevInv | missing | 1 1 0 1 1 0 1 3 4 0 1 6 19 27 0 1 10 55 175 256 0 1 15 125 660 2101 3125 0 1 21 245 1890 9751 31031 | +| 120 | Lehmer:Inv | Acc | missing | 1 0 1 0 -1 0 0 -1 -4 -3 0 -2 -3 -9 -8 0 -6 -6 -1 -11 -10 0 -24 -20 -5 20 5 6 0 -120 -92 -43 -8 62 | +| 121 | Lehmer:Inv | AccRev | missing | 1 1 1 1 0 0 1 -2 -3 -3 1 -5 -6 -8 -8 1 -9 -4 -4 -10 -10 1 -14 11 26 30 6 6 1 -20 50 85 134 162 42 | +| 122 | Lehmer:Inv | AntiDiag | missing | 1 0 0 1 0 -1 0 -1 1 0 -2 -3 0 -6 -1 1 0 -24 0 -6 0 -120 4 5 1 0 -720 28 15 -10 0 -5040 188 49 25 1 | +| 123 | Lehmer:Inv | Diffx1 | missing | 1 0 2 0 -2 3 0 -2 -9 4 0 -4 -3 -24 5 0 -12 0 20 -50 6 0 -48 12 60 125 -90 7 0 -240 84 196 175 420 | +| 124 | Lehmer:Inv | RowSum | A176118 | 1 1 0 -3 -8 -10 6 42 -160 -2952 -27720 -253440 -2553528 -28562664 -349272000 -4618376280 | +| 125 | Lehmer:Inv | EvenSum | missing | 1 0 1 -3 0 -10 30 42 392 1080 9720 83160 871992 9522240 112875672 1440913320 19782929280 | +| 126 | Lehmer:Inv | OddSum | missing | 0 1 -1 0 -8 0 -24 0 -552 -4032 -37440 -336600 -3425520 -38084904 -462147672 -6059289600 | +| 127 | Lehmer:Inv | AltSum | A005727 | 1 -1 2 -3 8 -10 54 42 944 5112 47160 419760 4297512 47607144 575023344 7500202920 105180931200 | +| 128 | Lehmer:Inv | DiagSum | missing | 1 0 1 -1 0 -5 -6 -30 -110 -687 -4777 -38736 -350800 -3525273 -38918468 -468386625 -6103700165 | +| 129 | Lehmer:Inv | AccSum | missing | 1 1 -1 -8 -22 -34 -18 -118 -2616 -29160 -282960 -2858448 -31603944 -382467864 -5018253576 | +| 130 | Lehmer:Inv | AccRevSum | missing | 1 2 1 -7 -26 -36 66 496 1016 -3312 -49680 -436272 -4145448 -45972096 -570098424 -7658244120 | +| 131 | Lehmer:Inv | RowLcm | missing | 1 1 1 3 6 30 600 5880 18239760 435037680 68769684547200 84388489622236800 723633960319757625600 | +| 132 | Lehmer:Inv | RowGcd | B114890 | 1 1 1 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 133 | Lehmer:Inv | RowMax | missing | 1 1 1 3 6 10 25 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 134 | Lehmer:Inv | ColMiddle | missing | 1 0 -1 -1 -1 0 15 49 49 0 -1365 -7645 -7645 0 311311 2475473 2475473 0 -132652377 -1367593305 | +| 135 | Lehmer:Inv | CentralE | A298511 | 1 -1 -1 15 49 -1365 -7645 311311 2475473 -132652377 -1367593305 90881245455 1151541572401 | +| 136 | Lehmer:Inv | CentralO | missing | 0 -1 0 49 0 -7645 0 2475473 0 -1367593305 0 1151541572401 0 -1373222414339685 0 2202549127844351265 | +| 137 | Lehmer:Inv | BinConv | missing | 1 1 -1 -11 -37 -29 502 4012 17999 43171 -93629 -1736965 -10217612 -15805568 470437528 9107848986 | +| 138 | Lehmer:Inv | InvBinConv | missing | 1 1 3 7 27 71 370 680 8015 -12341 372031 -2830563 38292628 -460951568 6421791272 -93716919894 | +| 139 | Lehmer:Inv | TransNat0 | missing | 0 1 1 -4 -18 -26 60 454 1176 -360 -21960 -182832 -1591920 -17409432 -220826424 -3039867840 | +| 140 | Lehmer:Inv | TransNat1 | missing | 1 2 1 -7 -26 -36 66 496 1016 -3312 -49680 -436272 -4145448 -45972096 -570098424 -7658244120 | +| 141 | Lehmer:Inv | TransSqrs | missing | 0 1 3 -4 -44 -96 188 2036 6816 6264 -53328 -309024 -603792 2422536 21808824 -94797840 -5753065344 | +| 142 | Lehmer:Inv | PosHalf | missing | 1 1 -1 -9 -31 -95 -513 -5481 -72511 -1059327 -17258625 -314205705 -6342349407 -140644383711 | +| 143 | Lehmer:Inv | NegHalf | missing | 1 1 3 3 25 -55 843 -7749 99377 -1405359 22766355 -412221645 8272106313 -182245108071 4374795235419 | +| 144 | Lehmer:Inv | DiagRow1 | A000217 | 0 -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 | +| 145 | Lehmer:Inv | DiagRow2 | A059302 | 0 -1 -1 5 25 70 154 294 510 825 1265 1859 2639 3640 4900 6460 8364 10659 13395 16625 20405 24794 | +| 146 | Lehmer:Inv | DiagRow3 | missing | 0 -2 0 15 35 0 -252 -1050 -2970 -6930 -14300 -27027 -47775 -80080 -128520 -198900 -298452 -436050 | +| 147 | Lehmer:Inv | DiagCol1 | A155456 | 1 -1 -1 -2 -6 -24 -120 -720 -5040 -40320 -362880 -3628800 -39916800 -479001600 -6227020800 | +| 148 | Lehmer:Inv | DiagCol2 | A045406 | 1 -3 -1 0 4 28 188 1368 11016 98208 964512 10370880 121337280 1535880960 20924455680 305396421120 | +| 149 | Lehmer:Inv | DiagCol3 | A347276 | 1 -6 5 15 49 196 944 5340 34716 254760 2078856 18620784 180973584 1887504768 20887922304 | +| 150 | Lehmer:Inv | Poly | missing | 1 0 1 0 1 1 0 0 2 1 0 -3 2 3 1 0 -8 -6 6 4 1 0 -10 -40 -3 12 5 1 0 6 -100 -96 12 20 6 1 0 42 72 | +| 151 | Lehmer:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 152 | Lehmer:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 153 | Lehmer:Inv | PolyRow3 | missing | 0 -3 -6 -3 12 45 102 189 312 477 690 957 1284 1677 2142 2685 3312 4029 4842 5757 6780 7917 9174 | +| 154 | Lehmer:Inv | PolyCol2 | missing | 1 2 2 -6 -40 -100 72 1848 8192 8352 -139680 -1235520 -6657792 -37195392 -382335744 -5807571840 | +| 155 | Lehmer:Inv | PolyCol3 | missing | 1 3 6 -3 -96 -450 -522 7938 66384 209304 -772200 -13899600 -82230552 -114793848 2417497488 | +| 156 | Lehmer:Inv | PolyDiag | missing | 1 1 2 -3 -152 -2530 -34344 -369222 -1265536 97121592 4374338400 129274334640 2899756412928 | +| 157 | Lehmer:Inv:Rev | Triangle | missing | 1 1 0 1 -1 0 1 -3 -1 0 1 -6 -1 -2 0 1 -10 5 0 -6 0 1 -15 25 15 4 -24 0 1 -21 70 35 49 28 -120 0 1 | +| 158 | Lehmer:Inv:Rev | Rev | A354795 | 1 0 1 0 -1 1 0 -1 -3 1 0 -2 -1 -6 1 0 -6 0 5 -10 1 0 -24 4 15 25 -15 1 0 -120 28 49 35 70 -21 1 0 | +| 159 | Lehmer:Inv:Rev | InvRev | A354794 | 1 0 1 0 1 1 0 4 3 1 0 27 19 6 1 0 256 175 55 10 1 0 3125 2101 660 125 15 1 0 46656 31031 9751 1890 | +| 160 | Lehmer:Inv:Rev | Acc | missing | 1 1 1 1 0 0 1 -2 -3 -3 1 -5 -6 -8 -8 1 -9 -4 -4 -10 -10 1 -14 11 26 30 6 6 1 -20 50 85 134 162 42 | +| 161 | Lehmer:Inv:Rev | AccRev | missing | 1 0 1 0 -1 0 0 -1 -4 -3 0 -2 -3 -9 -8 0 -6 -6 -1 -11 -10 0 -24 -20 -5 20 5 6 0 -120 -92 -43 -8 62 | +| 162 | Lehmer:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -1 1 -3 0 1 -6 -1 1 -10 -1 0 1 -15 5 -2 1 -21 25 0 0 1 -28 70 15 -6 1 -36 154 35 4 0 1 | +| 163 | Lehmer:Inv:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 -6 -3 0 1 -12 -3 -8 0 1 -20 15 0 -30 0 1 -30 75 60 20 -144 0 1 -42 210 140 245 168 | +| 164 | Lehmer:Inv:Rev | RowSum | A176118 | 1 1 0 -3 -8 -10 6 42 -160 -2952 -27720 -253440 -2553528 -28562664 -349272000 -4618376280 | +| 165 | Lehmer:Inv:Rev | EvenSum | missing | 1 1 1 0 0 0 30 0 392 -4032 9720 -336600 871992 -38084904 112875672 -6059289600 19782929280 | +| 166 | Lehmer:Inv:Rev | OddSum | missing | 0 0 -1 -3 -8 -10 -24 42 -552 1080 -37440 83160 -3425520 9522240 -462147672 1440913320 -85398001920 | +| 167 | Lehmer:Inv:Rev | AltSum | A005727 | 1 1 2 3 8 10 54 -42 944 -5112 47160 -419760 4297512 -47607144 575023344 -7500202920 105180931200 | +| 168 | Lehmer:Inv:Rev | DiagSum | missing | 1 1 1 0 -2 -6 -10 -11 5 52 158 275 281 -445 -2581 -7919 -13197 -13592 39286 167332 581798 739797 | +| 169 | Lehmer:Inv:Rev | AccSum | missing | 1 2 1 -7 -26 -36 66 496 1016 -3312 -49680 -436272 -4145448 -45972096 -570098424 -7658244120 | +| 170 | Lehmer:Inv:Rev | AccRevSum | missing | 1 1 -1 -8 -22 -34 -18 -118 -2616 -29160 -282960 -2858448 -31603944 -382467864 -5018253576 | +| 171 | Lehmer:Inv:Rev | RowLcm | missing | 1 1 1 3 6 30 600 5880 18239760 435037680 68769684547200 84388489622236800 723633960319757625600 | +| 172 | Lehmer:Inv:Rev | RowGcd | B114890 | 1 1 1 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 173 | Lehmer:Inv:Rev | RowMax | missing | 1 1 1 3 6 10 25 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 174 | Lehmer:Inv:Rev | ColMiddle | missing | 1 1 -1 -3 -1 5 15 35 49 -231 -1365 -3003 -7645 35321 311311 667095 2475473 -11321167 -132652377 | +| 175 | Lehmer:Inv:Rev | CentralE | A298511 | 1 -1 -1 15 49 -1365 -7645 311311 2475473 -132652377 -1367593305 90881245455 1151541572401 | +| 176 | Lehmer:Inv:Rev | CentralO | missing | 1 -3 5 35 -231 -3003 35321 667095 -11321167 -280043907 6216178605 190024422315 -5212705798535 | +| 177 | Lehmer:Inv:Rev | BinConv | missing | 1 1 -1 -11 -37 -29 502 4012 17999 43171 -93629 -1736965 -10217612 -15805568 470437528 9107848986 | +| 178 | Lehmer:Inv:Rev | InvBinConv | missing | 1 -1 3 -7 27 -71 370 -680 8015 12341 372031 2830563 38292628 460951568 6421791272 93716919894 | +| 179 | Lehmer:Inv:Rev | TransNat0 | missing | 0 0 -1 -5 -14 -24 -24 -160 -2456 -26208 -255240 -2605008 -29050416 -353905200 -4668981576 | +| 180 | Lehmer:Inv:Rev | TransNat1 | missing | 1 1 -1 -8 -22 -34 -18 -118 -2616 -29160 -282960 -2858448 -31603944 -382467864 -5018253576 | +| 181 | Lehmer:Inv:Rev | TransSqrs | missing | 0 0 -1 -7 -28 -86 -316 -2262 -22240 -226368 -2386128 -26952960 -330105744 -4372022448 -62252363304 | +| 182 | Lehmer:Inv:Rev | PosHalf | missing | 1 2 2 -6 -40 -100 72 1848 8192 8352 -139680 -1235520 -6657792 -37195392 -382335744 -5807571840 | +| 183 | Lehmer:Inv:Rev | NegHalf | A265945 | 1 -2 6 -18 64 -220 888 -3192 15104 -48096 338400 -285120 13728768 75484032 1327431168 15621137280 | +| 184 | Lehmer:Inv:Rev | DiagRow1 | A155456 | 1 -1 -1 -2 -6 -24 -120 -720 -5040 -40320 -362880 -3628800 -39916800 -479001600 -6227020800 | +| 185 | Lehmer:Inv:Rev | DiagRow2 | A045406 | 1 -3 -1 0 4 28 188 1368 11016 98208 964512 10370880 121337280 1535880960 20924455680 305396421120 | +| 186 | Lehmer:Inv:Rev | DiagRow3 | A347276 | 1 -6 5 15 49 196 944 5340 34716 254760 2078856 18620784 180973584 1887504768 20887922304 | +| 187 | Lehmer:Inv:Rev | DiagCol1 | A000217 | 0 -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 | +| 188 | Lehmer:Inv:Rev | DiagCol2 | A059302 | 0 -1 -1 5 25 70 154 294 510 825 1265 1859 2639 3640 4900 6460 8364 10659 13395 16625 20405 24794 | +| 189 | Lehmer:Inv:Rev | DiagCol3 | missing | 0 -2 0 15 35 0 -252 -1050 -2970 -6930 -14300 -27027 -47775 -80080 -128520 -198900 -298452 -436050 | +| 190 | Lehmer:Inv:Rev | Poly | A141901 | 1 1 1 1 1 1 1 0 1 1 1 -3 -1 1 1 1 -8 -9 -2 1 1 1 -10 -31 -17 -3 1 1 1 6 -95 -80 -27 -4 1 1 1 42 | +| 191 | Lehmer:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 192 | Lehmer:Inv:Rev | PolyRow3 | A014209 | 1 -3 -9 -17 -27 -39 -53 -69 -87 -107 -129 -153 -179 -207 -237 -269 -303 -339 -377 -417 -459 -503 | +| 193 | Lehmer:Inv:Rev | PolyCol2 | missing | 1 1 -1 -9 -31 -95 -513 -5481 -72511 -1059327 -17258625 -314205705 -6342349407 -140644383711 | +| 194 | Lehmer:Inv:Rev | PolyCol3 | missing | 1 1 -2 -17 -80 -470 -4922 -75194 -1384688 -29410424 -710697320 -19293134960 -581540653592 | +| 195 | Lehmer:Inv:Rev | PolyDiag | missing | 1 1 -1 -17 -167 -3674 -177389 -13514346 -1454033503 -209912367752 -39165967369449 -9173351458491120 | \ No newline at end of file diff --git a/data/md/Leibniz.md b/data/md/Leibniz.md index ef9bbf6..8f8ccc4 100644 --- a/data/md/Leibniz.md +++ b/data/md/Leibniz.md @@ -39,4 +39,44 @@ | 36 | Leibniz:Std | PolyRow3 | B033430 | 4 32 108 256 500 864 1372 2048 2916 4000 5324 6912 8788 10976 13500 16384 19652 23328 27436 32000 | | 37 | Leibniz:Std | PolyCol2 | B027471 | 1 6 27 108 405 1458 5103 17496 59049 196830 649539 2125764 6908733 22320522 71744535 229582512 | | 38 | Leibniz:Std | PolyCol3 | B002697 | 1 8 48 256 1280 6144 28672 131072 589824 2621440 11534336 50331648 218103808 939524096 4026531840 | -| 39 | Leibniz:Std | PolyDiag | A086783 | 1 4 27 256 3125 46656 823543 16777216 387420489 10000000000 285311670611 8916100448256 | \ No newline at end of file +| 39 | Leibniz:Std | PolyDiag | A086783 | 1 4 27 256 3125 46656 823543 16777216 387420489 10000000000 285311670611 8916100448256 | +| 40 | Leibniz:Alt | Triangle | A003506 | 1 2 -2 3 -6 3 4 -12 12 -4 5 -20 30 -20 5 6 -30 60 -60 30 -6 7 -42 105 -140 105 -42 7 8 -56 168 -280 | +| 41 | Leibniz:Alt | Rev | A003506 | 1 -2 2 3 -6 3 -4 12 -12 4 5 -20 30 -20 5 -6 30 -60 60 -30 6 7 -42 105 -140 105 -42 7 -8 56 -168 280 | +| 42 | Leibniz:Alt | Acc | B127952 | 1 2 0 3 -3 0 4 -8 4 0 5 -15 15 -5 0 6 -24 36 -24 6 0 7 -35 70 -70 35 -7 0 8 -48 120 -160 120 -48 8 | +| 43 | Leibniz:Alt | AccRev | B127952 | 1 -2 0 3 -3 0 -4 8 -4 0 5 -15 15 -5 0 -6 24 -36 24 -6 0 7 -35 70 -70 35 -7 0 -8 48 -120 160 -120 48 | +| 44 | Leibniz:Alt | AntiDiag | A128502 | 1 2 3 -2 4 -6 5 -12 3 6 -20 12 7 -30 30 -4 8 -42 60 -20 9 -56 105 -60 5 10 -72 168 -140 30 11 -90 | +| 45 | Leibniz:Alt | Diffx1 | missing | 1 2 -4 3 -12 9 4 -24 36 -16 5 -40 90 -80 25 6 -60 180 -240 150 -36 7 -84 315 -560 525 -252 49 8 | +| 46 | Leibniz:Alt | EvenSum | B057711 | 1 2 6 16 40 96 224 512 1152 2560 5632 12288 26624 57344 122880 262144 557056 1179648 2490368 | +| 47 | Leibniz:Alt | OddSum | B057711 | 0 -2 -6 -16 -40 -96 -224 -512 -1152 -2560 -5632 -12288 -26624 -57344 -122880 -262144 -557056 | +| 48 | Leibniz:Alt | AltSum | B001787 | 1 4 12 32 80 192 448 1024 2304 5120 11264 24576 53248 114688 245760 524288 1114112 2359296 4980736 | +| 49 | Leibniz:Alt | DiagSum | A099254 | 1 2 1 -2 -4 -2 3 6 3 -4 -8 -4 5 10 5 -6 -12 -6 7 14 7 -8 -16 -8 9 18 9 -10 -20 -10 11 22 | +| 50 | Leibniz:Alt | AccSum | A130706 | 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 51 | Leibniz:Alt | AccRevSum | A130706 | 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 52 | Leibniz:Alt | RowLcm | B003418 | 1 2 6 12 60 60 420 840 2520 2520 27720 27720 360360 360360 360360 720720 12252240 12252240 | +| 53 | Leibniz:Alt | RowGcd | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 54 | Leibniz:Alt | RowMax | A331552 | 1 2 6 12 30 60 140 280 630 1260 2772 5544 12012 24024 51480 102960 218790 437580 923780 1847560 | +| 55 | Leibniz:Alt | ColMiddle | A331552 | 1 2 -6 -12 30 60 -140 -280 630 1260 -2772 -5544 12012 24024 -51480 -102960 218790 437580 -923780 | +| 56 | Leibniz:Alt | CentralE | A002457 | 1 -6 30 -140 630 -2772 12012 -51480 218790 -923780 3879876 -16224936 67603900 -280816200 1163381400 | +| 57 | Leibniz:Alt | CentralO | B005430 | 2 -12 60 -280 1260 -5544 24024 -102960 437580 -1847560 7759752 -32449872 135207800 -561632400 | +| 58 | Leibniz:Alt | ColLeft | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 59 | Leibniz:Alt | ColRight | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 60 | Leibniz:Alt | BinConv | missing | 1 0 -6 0 30 0 -140 0 630 0 -2772 0 12012 0 -51480 0 218790 0 -923780 0 3879876 0 -16224936 0 | +| 61 | Leibniz:Alt | InvBinConv | B037965 | 1 -4 18 -80 350 -1512 6468 -27456 115830 -486200 2032316 -8465184 35154028 -145608400 601749000 | +| 62 | Leibniz:Alt | TransNat0 | A000038 | 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 63 | Leibniz:Alt | TransNat1 | A130706 | 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 64 | Leibniz:Alt | TransSqrs | B000007 | 0 -2 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 65 | Leibniz:Alt | PosHalf | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 66 | Leibniz:Alt | NegHalf | B027471 | 1 -6 27 -108 405 -1458 5103 -17496 59049 -196830 649539 -2125764 6908733 -22320522 71744535 | +| 67 | Leibniz:Alt | DiagRow1 | B002378 | 2 -6 12 -20 30 -42 56 -72 90 -110 132 -156 182 -210 240 -272 306 -342 380 -420 462 -506 552 -600 | +| 68 | Leibniz:Alt | DiagRow2 | B027480 | 3 -12 30 -60 105 -168 252 -360 495 -660 858 -1092 1365 -1680 2040 -2448 2907 -3420 3990 -4620 5313 | +| 69 | Leibniz:Alt | DiagRow3 | B033488 | 4 -20 60 -140 280 -504 840 -1320 1980 -2860 4004 -5460 7280 -9520 12240 -15504 19380 -23940 29260 | +| 70 | Leibniz:Alt | DiagCol1 | B002378 | -2 -6 -12 -20 -30 -42 -56 -72 -90 -110 -132 -156 -182 -210 -240 -272 -306 -342 -380 -420 -462 -506 | +| 71 | Leibniz:Alt | DiagCol2 | B027480 | 3 12 30 60 105 168 252 360 495 660 858 1092 1365 1680 2040 2448 2907 3420 3990 4620 5313 6072 6900 | +| 72 | Leibniz:Alt | DiagCol3 | B033488 | -4 -20 -60 -140 -280 -504 -840 -1320 -1980 -2860 -4004 -5460 -7280 -9520 -12240 -15504 -19380 | +| 73 | Leibniz:Alt | Poly | missing | 1 2 1 3 0 1 4 0 -2 1 5 0 3 -4 1 6 0 -4 12 -6 1 7 0 5 -32 27 -8 1 8 0 -6 80 -108 48 -10 1 9 0 7 -192 | +| 74 | Leibniz:Alt | PolyRow1 | A239229 | 2 0 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 | +| 75 | Leibniz:Alt | PolyRow2 | A033428 | 3 0 3 12 27 48 75 108 147 192 243 300 363 432 507 588 675 768 867 972 1083 1200 1323 1452 1587 1728 | +| 76 | Leibniz:Alt | PolyRow3 | A033430 | 4 0 -4 -32 -108 -256 -500 -864 -1372 -2048 -2916 -4000 -5324 -6912 -8788 -10976 -13500 -16384 | +| 77 | Leibniz:Alt | PolyCol2 | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 78 | Leibniz:Alt | PolyCol3 | B001787 | 1 -4 12 -32 80 -192 448 -1024 2304 -5120 11264 -24576 53248 -114688 245760 -524288 1114112 -2359296 | +| 79 | Leibniz:Alt | PolyDiag | missing | 1 0 3 -32 405 -6144 109375 -2239488 51883209 -1342177280 38354628411 -1200000000000 40799568897373 | \ No newline at end of file diff --git a/data/md/Levin.md b/data/md/Levin.md index 99ddda7..773e7e1 100644 --- a/data/md/Levin.md +++ b/data/md/Levin.md @@ -39,4 +39,44 @@ | 36 | Levin:Std | PolyRow3 | missing | 20 160 540 1280 2500 4320 6860 10240 14580 20000 26620 34560 43940 54880 67500 81920 98260 116640 | | 37 | Levin:Std | PolyCol2 | A098658 | 1 6 54 540 5670 61236 673596 7505784 84440070 956987460 10909657044 124965162504 1437099368796 | | 38 | Levin:Std | PolyCol3 | A098430 | 1 8 96 1280 17920 258048 3784704 56229888 843448320 12745441280 193730707456 2958796259328 | -| 39 | Levin:Std | PolyDiag | missing | 1 4 54 1280 43750 1959552 108707676 7197425664 554011299270 48620000000000 4792094819582356 | \ No newline at end of file +| 39 | Levin:Std | PolyDiag | missing | 1 4 54 1280 43750 1959552 108707676 7197425664 554011299270 48620000000000 4792094819582356 | +| 40 | Levin:Alt | Triangle | A356546 | 1 2 -2 6 -12 6 20 -60 60 -20 70 -280 420 -280 70 252 -1260 2520 -2520 1260 -252 924 -5544 13860 | +| 41 | Levin:Alt | Rev | A356546 | 1 -2 2 6 -12 6 -20 60 -60 20 70 -280 420 -280 70 -252 1260 -2520 2520 -1260 252 924 -5544 13860 | +| 42 | Levin:Alt | Acc | missing | 1 2 0 6 -6 0 20 -40 20 0 70 -210 210 -70 0 252 -1008 1512 -1008 252 0 924 -4620 9240 -9240 4620 | +| 43 | Levin:Alt | AccRev | missing | 1 -2 0 6 -6 0 -20 40 -20 0 70 -210 210 -70 0 -252 1008 -1512 1008 -252 0 924 -4620 9240 -9240 4620 | +| 44 | Levin:Alt | AntiDiag | A008556 | 1 2 6 -2 20 -12 70 -60 6 252 -280 60 924 -1260 420 -20 3432 -5544 2520 -280 12870 -24024 13860 | +| 45 | Levin:Alt | Diffx1 | missing | 1 2 -4 6 -24 18 20 -120 180 -80 70 -560 1260 -1120 350 252 -2520 7560 -10080 6300 -1512 924 -11088 | +| 46 | Levin:Alt | EvenSum | A069723 | 1 2 12 80 560 4032 29568 219648 1647360 12446720 94595072 722362368 5538111488 42600857600 | +| 47 | Levin:Alt | OddSum | B069723 | 0 -2 -12 -80 -560 -4032 -29568 -219648 -1647360 -12446720 -94595072 -722362368 -5538111488 | +| 48 | Levin:Alt | AltSum | A059304 | 1 4 24 160 1120 8064 59136 439296 3294720 24893440 189190144 1444724736 11076222976 85201715200 | +| 49 | Levin:Alt | DiagSum | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 50 | Levin:Alt | AccSum | A130706 | 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 51 | Levin:Alt | AccRevSum | A130706 | 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 52 | Levin:Alt | RowLcm | missing | 1 2 12 60 840 2520 55440 360360 3603600 12252240 465585120 1629547920 74959204320 267711444000 | +| 53 | Levin:Alt | RowGcd | A000984 | 1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 40116600 155117520 601080390 | +| 54 | Levin:Alt | RowMax | missing | 1 2 12 60 420 2520 18480 120120 900900 6126120 46558512 325909584 2498640144 17847429600 | +| 55 | Levin:Alt | ColMiddle | missing | 1 2 -12 -60 420 2520 -18480 -120120 900900 6126120 -46558512 -325909584 2498640144 17847429600 | +| 56 | Levin:Alt | CentralE | A000897 | 1 -12 420 -18480 900900 -46558512 2498640144 -137680171200 7735904619300 -441233078286000 | +| 57 | Levin:Alt | CentralO | missing | 2 -60 2520 -120120 6126120 -325909584 17847429600 -998181241200 56729967208200 -3265124779316400 | +| 58 | Levin:Alt | ColLeft | A000984 | 1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 40116600 155117520 601080390 | +| 59 | Levin:Alt | ColRight | A000984 | 1 -2 6 -20 70 -252 924 -3432 12870 -48620 184756 -705432 2704156 -10400600 40116600 -155117520 | +| 60 | Levin:Alt | BinConv | missing | 1 0 -12 0 420 0 -18480 0 900900 0 -46558512 0 2498640144 0 -137680171200 0 7735904619300 0 | +| 61 | Levin:Alt | InvBinConv | A002894 | 1 -4 36 -400 4900 -63504 853776 -11778624 165636900 -2363904400 34134779536 -497634306624 | +| 62 | Levin:Alt | TransNat0 | A000038 | 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 63 | Levin:Alt | TransNat1 | A130706 | 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 64 | Levin:Alt | TransSqrs | B000007 | 0 -2 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 65 | Levin:Alt | PosHalf | A000984 | 1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 40116600 155117520 601080390 | +| 66 | Levin:Alt | NegHalf | A098658 | 1 -6 54 -540 5670 -61236 673596 -7505784 84440070 -956987460 10909657044 -124965162504 | +| 67 | Levin:Alt | DiagRow1 | B005430 | 2 -12 60 -280 1260 -5544 24024 -102960 437580 -1847560 7759752 -32449872 135207800 -561632400 | +| 68 | Levin:Alt | DiagRow2 | A000911 | 6 -60 420 -2520 13860 -72072 360360 -1750320 8314020 -38798760 178474296 -811246800 3650610600 | +| 69 | Levin:Alt | DiagRow3 | missing | 20 -280 2520 -18480 120120 -720720 4084080 -22170720 116396280 -594914320 2974571600 -14602442400 | +| 70 | Levin:Alt | DiagCol1 | B005430 | -2 -12 -60 -280 -1260 -5544 -24024 -102960 -437580 -1847560 -7759752 -32449872 -135207800 | +| 71 | Levin:Alt | DiagCol2 | A000911 | 6 60 420 2520 13860 72072 360360 1750320 8314020 38798760 178474296 811246800 3650610600 | +| 72 | Levin:Alt | DiagCol3 | missing | -20 -280 -2520 -18480 -120120 -720720 -4084080 -22170720 -116396280 -594914320 -2974571600 | +| 73 | Levin:Alt | Poly | missing | 1 2 1 6 0 1 20 0 -2 1 70 0 6 -4 1 252 0 -20 24 -6 1 924 0 70 -160 54 -8 1 3432 0 -252 1120 -540 96 | +| 74 | Levin:Alt | PolyRow1 | A239229 | 2 0 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 | +| 75 | Levin:Alt | PolyRow2 | A033581 | 6 0 6 24 54 96 150 216 294 384 486 600 726 864 1014 1176 1350 1536 1734 1944 2166 2400 2646 2904 | +| 76 | Levin:Alt | PolyRow3 | missing | 20 0 -20 -160 -540 -1280 -2500 -4320 -6860 -10240 -14580 -20000 -26620 -34560 -43940 -54880 -67500 | +| 77 | Levin:Alt | PolyCol2 | A000984 | 1 -2 6 -20 70 -252 924 -3432 12870 -48620 184756 -705432 2704156 -10400600 40116600 -155117520 | +| 78 | Levin:Alt | PolyCol3 | A059304 | 1 -4 24 -160 1120 -8064 59136 -439296 3294720 -24893440 189190144 -1444724736 11076222976 | +| 79 | Levin:Alt | PolyDiag | missing | 1 0 6 -160 5670 -258048 14437500 -960740352 74192988870 -6525665935360 644204338791156 | \ No newline at end of file diff --git a/data/md/Lozanic.md b/data/md/Lozanic.md index faf9453..d9ceeea 100644 --- a/data/md/Lozanic.md +++ b/data/md/Lozanic.md @@ -42,81 +42,123 @@ | 39 | Lozanic:Std | PolyCol2 | missing | 1 3 7 21 53 159 427 1281 3593 10779 31087 93261 273533 820599 2430547 7291641 21718673 65156019 | | 40 | Lozanic:Std | PolyCol3 | missing | 1 4 13 52 178 712 2548 10192 37768 151072 574288 2297152 8888608 35554432 139217728 556870912 | | 41 | Lozanic:Std | PolyDiag | missing | 1 2 7 52 457 5916 84151 1548576 30448673 726060880 18223762551 533666675136 16296099756553 | -| 42 | Lozanic:Inv | Triangle | A055138 | 1 -1 1 0 -1 1 1 0 -2 1 -1 2 0 -2 1 -1 -3 6 0 -3 1 4 -3 -7 8 0 -3 1 -1 18 -18 -13 17 0 -4 1 -19 -4 | -| 43 | Lozanic:Inv | Rev | missing | 1 1 -1 1 -1 0 1 -2 0 1 1 -2 0 2 -1 1 -3 0 6 -3 -1 1 -3 0 8 -7 -3 4 1 -4 0 17 -13 -18 18 -1 1 -4 0 | -| 44 | Lozanic:Inv | RevInv | A034851 | 1 1 1 1 1 1 1 2 2 1 1 2 4 2 1 1 3 6 6 3 1 1 3 9 10 9 3 1 1 4 12 19 19 12 4 1 1 4 16 28 38 28 16 4 1 | -| 45 | Lozanic:Inv | Acc | missing | 1 -1 0 0 -1 0 1 1 -1 0 -1 1 1 -1 0 -1 -4 2 2 -1 0 4 1 -6 2 2 -1 0 -1 17 -1 -14 3 3 -1 0 -19 -23 33 | -| 46 | Lozanic:Inv | AccRev | missing | 1 1 0 1 0 0 1 -1 -1 0 1 -1 -1 1 0 1 -2 -2 4 1 0 1 -2 -2 6 -1 -4 0 1 -3 -3 14 1 -17 1 0 1 -3 -3 17 | -| 47 | Lozanic:Inv | AntiDiag | missing | 1 -1 0 1 1 -1 -1 0 1 -1 2 -2 4 -3 0 1 -1 -3 6 -2 -19 18 -7 0 1 31 -4 -18 8 -3 120 -127 56 -13 0 1 | -| 48 | Lozanic:Inv | Diffx1 | missing | 1 -1 2 0 -2 3 1 0 -6 4 -1 4 0 -8 5 -1 -6 18 0 -15 6 4 -6 -21 32 0 -18 7 -1 36 -54 -52 85 0 -28 8 | -| 49 | Lozanic:Inv | EvenSum | missing | 1 -1 1 -1 0 2 -2 -6 16 24 -152 -88 1888 -752 -30416 49488 619264 -2029184 -15480192 86596736 | -| 50 | Lozanic:Inv | OddSum | missing | 0 1 -1 1 0 -2 2 6 -16 -24 152 88 -1888 752 30416 -49488 -619264 2029184 15480192 -86596736 | -| 51 | Lozanic:Inv | AltSum | missing | 1 -2 2 -2 0 4 -4 -12 32 48 -304 -176 3776 -1504 -60832 98976 1238528 -4058368 -30960384 173193472 | -| 52 | Lozanic:Inv | DiagSum | missing | 1 -1 1 0 0 -1 2 0 -7 14 37 -274 -117 5409 -3923 -126708 218702 3599687 -9874814 -123534970 | -| 53 | Lozanic:Inv | AccSum | missing | 1 -1 -1 1 0 -2 2 6 -16 -24 152 88 -1888 752 30416 -49488 -619264 2029184 15480192 -86596736 | -| 54 | Lozanic:Inv | AccRevSum | missing | 1 1 1 -1 0 2 -2 -6 16 24 -152 -88 1888 -752 -30416 49488 619264 -2029184 -15480192 86596736 | -| 55 | Lozanic:Inv | RowLcm | missing | 1 1 1 2 2 6 168 7956 58520 1180627560 599709600 3369603117819120 353784017275594040520 | -| 56 | Lozanic:Inv | RowGcd | B087102 | 1 1 1 2 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 57 | Lozanic:Inv | RowMax | missing | 1 1 1 2 2 6 8 18 56 136 511 1603 6104 24328 94727 474145 1851152 11611376 54118183 349311143 | -| 58 | Lozanic:Inv | ColMiddle | missing | 1 -1 -1 0 0 6 8 -13 -22 -98 -126 548 968 4100 4808 -39301 -71858 -352990 -376198 4730312 8838320 | -| 59 | Lozanic:Inv | CentralE | missing | 1 -1 0 8 -22 -126 968 4808 -71858 -376198 8838320 50043168 -1644054252 -10101018188 431610578224 | -| 60 | Lozanic:Inv | CentralO | missing | -1 0 6 -13 -98 548 4100 -39301 -352990 4730312 51058660 -867789026 -11050351524 225683560824 | -| 61 | Lozanic:Inv | ColLeft | A055139 | 1 -1 0 1 -1 -1 4 -1 -19 31 120 -483 -933 8623 6748 -189589 41561 5147391 -6328400 -170622599 | -| 62 | Lozanic:Inv | BinConv | missing | 1 0 -1 -4 0 30 24 -140 -502 -1180 11334 71568 -273592 -2290348 5847400 60070648 -16955314 | -| 63 | Lozanic:Inv | InvBinConv | missing | 1 2 3 6 0 -58 -224 -516 522 13176 42878 -113740 -1343160 -3650572 21802616 304212568 575793230 | -| 64 | Lozanic:Inv | TransNat0 | missing | 0 1 1 -1 0 2 -2 -6 16 24 -152 -88 1888 -752 -30416 49488 619264 -2029184 -15480192 86596736 | -| 65 | Lozanic:Inv | TransNat1 | missing | 1 1 1 -1 0 2 -2 -6 16 24 -152 -88 1888 -752 -30416 49488 619264 -2029184 -15480192 86596736 | -| 66 | Lozanic:Inv | TransSqrs | missing | 0 1 3 1 0 -2 2 6 -16 -24 152 88 -1888 752 30416 -49488 -619264 2029184 15480192 -86596736 | -| 67 | Lozanic:Inv | PosHalf | missing | 1 -1 -1 5 -3 -37 107 369 -2887 -3657 99671 -71011 -4576843 14787859 272568899 -1851714807 | -| 68 | Lozanic:Inv | NegHalf | missing | 1 3 3 -3 -27 -57 183 1521 -375 -45045 -80277 1800357 7427181 -96072369 -683228769 6607346841 | -| 69 | Lozanic:Inv | DiagRow1 | A008619 | -1 -1 -2 -2 -3 -3 -4 -4 -5 -5 -6 -6 -7 -7 -8 -8 -9 -9 -10 -10 -11 -11 -12 -12 -13 -13 -14 -14 -15 | -| 70 | Lozanic:Inv | DiagRow3 | missing | 1 2 6 8 17 20 36 40 65 70 106 112 161 168 232 240 321 330 430 440 561 572 716 728 897 910 1106 1120 | -| 71 | Lozanic:Inv | DiagCol1 | missing | 1 -1 0 2 -3 -3 18 -4 -127 163 1212 -3154 -15427 67553 251198 -1737128 -4989983 54118183 113792344 | -| 72 | Lozanic:Inv | DiagCol2 | missing | 1 -2 0 6 -7 -18 56 60 -511 -58 6104 -5998 -94727 231350 1851152 -8350344 -43987263 335148526 | -| 73 | Lozanic:Inv | DiagCol3 | missing | 1 -2 0 8 -13 -28 136 80 -1603 690 24328 -35848 -474145 1263336 11611376 -47348704 -349311143 | -| 74 | Lozanic:Inv | Poly | missing | 1 -1 1 0 0 1 1 0 1 1 -1 0 2 2 1 -1 0 1 6 3 1 4 0 3 10 12 4 1 -1 0 1 32 33 20 5 1 -19 0 2 44 135 76 | -| 75 | Lozanic:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | -| 76 | Lozanic:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | -| 77 | Lozanic:Inv | PolyRow3 | A085490 | 1 0 1 10 33 76 145 246 385 568 801 1090 1441 1860 2353 2926 3585 4336 5185 6138 7201 8380 9681 | -| 78 | Lozanic:Inv | PolyCol2 | missing | 1 1 2 1 3 1 2 3 5 -15 2 181 -169 -2623 5474 49383 -169783 -1167775 5970306 33831145 -245056341 | -| 79 | Lozanic:Inv | PolyCol3 | missing | 1 2 6 10 32 44 148 188 608 784 2544 2928 9792 15712 42016 -19744 197120 2072832 -2222336 -60660992 | -| 80 | Lozanic:Inv | PolyDiag | missing | 1 0 2 10 135 1384 24790 388548 8943053 188771008 5340310650 141757919920 4767229396611 | -| 81 | Lozanic:Inv:Rev | Triangle | missing | 1 1 -1 1 -1 0 1 -2 0 1 1 -2 0 2 -1 1 -3 0 6 -3 -1 1 -3 0 8 -7 -3 4 1 -4 0 17 -13 -18 18 -1 1 -4 0 | -| 82 | Lozanic:Inv:Rev | Rev | A055138 | 1 -1 1 0 -1 1 1 0 -2 1 -1 2 0 -2 1 -1 -3 6 0 -3 1 4 -3 -7 8 0 -3 1 -1 18 -18 -13 17 0 -4 1 -19 -4 | -| 83 | Lozanic:Inv:Rev | InvRev | A034851 | 1 1 1 1 1 1 1 2 2 1 1 2 4 2 1 1 3 6 6 3 1 1 3 9 10 9 3 1 1 4 12 19 19 12 4 1 1 4 16 28 38 28 16 4 1 | -| 84 | Lozanic:Inv:Rev | Acc | missing | 1 1 0 1 0 0 1 -1 -1 0 1 -1 -1 1 0 1 -2 -2 4 1 0 1 -2 -2 6 -1 -4 0 1 -3 -3 14 1 -17 1 0 1 -3 -3 17 | -| 85 | Lozanic:Inv:Rev | AccRev | missing | 1 -1 0 0 -1 0 1 1 -1 0 -1 1 1 -1 0 -1 -4 2 2 -1 0 4 1 -6 2 2 -1 0 -1 17 -1 -14 3 3 -1 0 -19 -23 33 | -| 86 | Lozanic:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -1 1 -2 0 1 -2 0 1 -3 0 1 1 -3 0 2 1 -4 0 6 -1 1 -4 0 8 -3 1 -5 0 17 -7 -1 1 -5 0 20 -13 | -| 87 | Lozanic:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -2 0 1 -4 0 4 1 -4 0 8 -5 1 -6 0 24 -15 -6 1 -6 0 32 -35 -18 28 1 -8 0 68 -65 -108 126 -8 | -| 88 | Lozanic:Inv:Rev | EvenSum | missing | 1 1 1 1 0 -2 -2 6 16 -24 -152 88 1888 752 -30416 -49488 619264 2029184 -15480192 -86596736 | -| 89 | Lozanic:Inv:Rev | OddSum | missing | 0 -1 -1 -1 0 2 2 -6 -16 24 152 -88 -1888 -752 30416 49488 -619264 -2029184 15480192 86596736 | -| 90 | Lozanic:Inv:Rev | AltSum | missing | 1 2 2 2 0 -4 -4 12 32 -48 -304 176 3776 1504 -60832 -98976 1238528 4058368 -30960384 -173193472 | -| 91 | Lozanic:Inv:Rev | DiagSum | missing | 1 1 0 0 -1 -1 -1 0 2 2 5 0 -5 -9 -34 0 -3 85 319 32 522 -1306 -3761 -1760 -15571 26853 48300 79392 | -| 92 | Lozanic:Inv:Rev | AccSum | missing | 1 1 1 -1 0 2 -2 -6 16 24 -152 -88 1888 -752 -30416 49488 619264 -2029184 -15480192 86596736 | -| 93 | Lozanic:Inv:Rev | AccRevSum | missing | 1 -1 -1 1 0 -2 2 6 -16 -24 152 88 -1888 752 30416 -49488 -619264 2029184 15480192 -86596736 | -| 94 | Lozanic:Inv:Rev | RowLcm | missing | 1 1 1 2 2 6 168 7956 58520 1180627560 599709600 3369603117819120 353784017275594040520 | -| 95 | Lozanic:Inv:Rev | RowGcd | B087102 | 1 1 1 2 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 96 | Lozanic:Inv:Rev | RowMax | missing | 1 1 1 2 2 6 8 18 56 136 511 1603 6104 24328 94727 474145 1851152 11611376 54118183 349311143 | -| 97 | Lozanic:Inv:Rev | ColMiddle | missing | 1 1 -1 -2 0 0 8 17 -22 -34 -126 -336 968 1608 4808 15777 -71858 -125562 -376198 -1427860 8838320 | -| 98 | Lozanic:Inv:Rev | CentralE | missing | 1 -1 0 8 -22 -126 968 4808 -71858 -376198 8838320 50043168 -1644054252 -10101018188 431610578224 | -| 99 | Lozanic:Inv:Rev | CentralO | missing | 1 -2 0 17 -34 -336 1608 15777 -125562 -1427860 15955664 210948682 -3033012724 -46060191984 | -| 100 | Lozanic:Inv:Rev | ColRight | A055139 | 1 -1 0 1 -1 -1 4 -1 -19 31 120 -483 -933 8623 6748 -189589 41561 5147391 -6328400 -170622599 | -| 101 | Lozanic:Inv:Rev | BinConv | missing | 1 0 -1 -4 0 30 24 -140 -502 -1180 11334 71568 -273592 -2290348 5847400 60070648 -16955314 | -| 102 | Lozanic:Inv:Rev | InvBinConv | missing | 1 -2 3 -6 0 58 -224 516 522 -13176 42878 113740 -1343160 3650572 21802616 -304212568 575793230 | -| 103 | Lozanic:Inv:Rev | TransNat0 | missing | 0 -1 -1 1 0 -2 2 6 -16 -24 152 88 -1888 752 30416 -49488 -619264 2029184 15480192 -86596736 | -| 104 | Lozanic:Inv:Rev | TransNat1 | missing | 1 -1 -1 1 0 -2 2 6 -16 -24 152 88 -1888 752 30416 -49488 -619264 2029184 15480192 -86596736 | -| 105 | Lozanic:Inv:Rev | TransSqrs | missing | 0 -1 -1 7 0 -22 26 90 -272 -456 3192 2024 -47200 20304 882064 -1534128 -20435712 71021440 572767104 | -| 106 | Lozanic:Inv:Rev | PosHalf | missing | 1 1 2 1 3 1 2 3 5 -15 2 181 -169 -2623 5474 49383 -169783 -1167775 5970306 33831145 -245056341 | -| 107 | Lozanic:Inv:Rev | NegHalf | missing | 1 -3 6 -15 27 -51 78 -117 213 -531 1014 -267 -2433 -13683 91806 105471 -1975575 -1055523 57489894 | -| 108 | Lozanic:Inv:Rev | DiagRow1 | missing | 1 -1 0 2 -3 -3 18 -4 -127 163 1212 -3154 -15427 67553 251198 -1737128 -4989983 54118183 113792344 | -| 109 | Lozanic:Inv:Rev | DiagRow2 | missing | 1 -2 0 6 -7 -18 56 60 -511 -58 6104 -5998 -94727 231350 1851152 -8350344 -43987263 335148526 | -| 110 | Lozanic:Inv:Rev | DiagRow3 | missing | 1 -2 0 8 -13 -28 136 80 -1603 690 24328 -35848 -474145 1263336 11611376 -47348704 -349311143 | -| 111 | Lozanic:Inv:Rev | DiagCol1 | A008619 | -1 -1 -2 -2 -3 -3 -4 -4 -5 -5 -6 -6 -7 -7 -8 -8 -9 -9 -10 -10 -11 -11 -12 -12 -13 -13 -14 -14 -15 | -| 112 | Lozanic:Inv:Rev | DiagCol3 | missing | 1 2 6 8 17 20 36 40 65 70 106 112 161 168 232 240 321 330 430 440 561 572 716 728 897 910 1106 1120 | -| 113 | Lozanic:Inv:Rev | Poly | A362899 | 1 1 1 1 0 1 1 0 -1 1 1 0 -1 -2 1 1 0 5 -2 -3 1 1 0 -3 22 -3 -4 1 1 0 -37 -32 57 -4 -5 1 1 0 107 | -| 114 | Lozanic:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 115 | Lozanic:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 116 | Lozanic:Inv:Rev | PolyRow3 | A033445 | 1 0 5 22 57 116 205 330 497 712 981 1310 1705 2172 2717 3346 4065 4880 5797 6822 7961 9220 10605 | -| 117 | Lozanic:Inv:Rev | PolyCol2 | missing | 1 -1 -1 5 -3 -37 107 369 -2887 -3657 99671 -71011 -4576843 14787859 272568899 -1851714807 | -| 118 | Lozanic:Inv:Rev | PolyCol3 | missing | 1 -2 -2 22 -32 -332 1828 5956 -100640 -18320 7292848 -23743088 -705224384 5738455456 87508486816 | -| 119 | Lozanic:Inv:Rev | PolyDiag | missing | 1 0 -1 22 -135 -4264 155935 966204 -313473055 6896372032 1312974939951 -106834615142320 | \ No newline at end of file +| 42 | Lozanic:Alt | Triangle | A034851 | 1 1 -1 1 -1 1 1 -2 2 -1 1 -2 4 -2 1 1 -3 6 -6 3 -1 1 -3 9 -10 9 -3 1 1 -4 12 -19 19 -12 4 -1 1 -4 | +| 43 | Lozanic:Alt | Rev | A034851 | 1 -1 1 1 -1 1 -1 2 -2 1 1 -2 4 -2 1 -1 3 -6 6 -3 1 1 -3 9 -10 9 -3 1 -1 4 -12 19 -19 12 -4 1 1 -4 | +| 44 | Lozanic:Alt | Inv | missing | 1 -1 1 -2 1 1 1 0 -2 1 7 -2 -8 2 1 -7 3 6 0 -3 1 -60 21 61 -8 -18 3 1 61 -18 -70 13 17 0 -4 1 797 | +| 45 | Lozanic:Alt | RevInv | missing | 1 1 -1 1 1 -2 1 -2 0 1 1 2 -8 -2 7 1 -3 0 6 3 -7 1 3 -18 -8 61 21 -60 1 -4 0 17 13 -70 -18 61 1 4 | +| 46 | Lozanic:Alt | InvRev | A055138 | 1 1 1 0 1 1 -1 0 2 1 -1 -2 0 2 1 1 -3 -6 0 3 1 4 3 -7 -8 0 3 1 1 18 18 -13 -17 0 4 1 -19 4 56 28 | +| 47 | Lozanic:Alt | Acc | missing | 1 1 0 1 0 1 1 -1 1 0 1 -1 3 1 2 1 -2 4 -2 1 0 1 -2 7 -3 6 3 4 1 -3 9 -10 9 -3 1 0 1 -3 13 -15 23 -5 | +| 48 | Lozanic:Alt | AccRev | missing | 1 -1 0 1 0 1 -1 1 -1 0 1 -1 3 1 2 -1 2 -4 2 -1 0 1 -2 7 -3 6 3 4 -1 3 -9 10 -9 3 -1 0 1 -3 13 -15 | +| 49 | Lozanic:Alt | AntiDiag | A102541 | 1 1 1 -1 1 -1 1 -2 1 1 -2 2 1 -3 4 -1 1 -3 6 -2 1 -4 9 -6 1 1 -4 12 -10 3 1 -5 16 -19 9 -1 1 -5 20 | +| 50 | Lozanic:Alt | Diffx1 | missing | 1 1 -2 1 -2 3 1 -4 6 -4 1 -4 12 -8 5 1 -6 18 -24 15 -6 1 -6 27 -40 45 -18 7 1 -8 36 -76 95 -72 28 | +| 51 | Lozanic:Alt | RowSum | B077957 | 1 0 1 0 2 0 4 0 8 0 16 0 32 0 64 0 128 0 256 0 512 0 1024 0 2048 0 4096 0 8192 0 16384 0 | +| 52 | Lozanic:Alt | EvenSum | A005418 | 1 1 2 3 6 10 20 36 72 136 272 528 1056 2080 4160 8256 16512 32896 65792 131328 262656 524800 | +| 53 | Lozanic:Alt | OddSum | B051437 | 0 -1 -1 -3 -4 -10 -16 -36 -64 -136 -256 -528 -1024 -2080 -4096 -8256 -16384 -32896 -65536 -131328 | +| 54 | Lozanic:Alt | AltSum | A005418 | 1 2 3 6 10 20 36 72 136 272 528 1056 2080 4160 8256 16512 32896 65792 131328 262656 524800 1049600 | +| 55 | Lozanic:Alt | DiagSum | missing | 1 1 0 0 0 1 1 2 1 2 1 4 3 7 4 10 6 17 11 28 17 44 27 72 45 117 72 188 116 305 189 494 | +| 56 | Lozanic:Alt | AccSum | missing | 1 1 2 1 6 2 16 4 40 8 96 16 224 32 512 64 1152 128 2560 256 5632 512 12288 1024 26624 2048 57344 | +| 57 | Lozanic:Alt | AccRevSum | missing | 1 -1 2 -1 6 -2 16 -4 40 -8 96 -16 224 -32 512 -64 1152 -128 2560 -256 5632 -512 12288 -1024 26624 | +| 58 | Lozanic:Alt | RowLcm | missing | 1 1 1 2 4 6 90 228 2128 660 69300 60180 3971880 950460 190282092 53804520 1865223360 4887361080 | +| 59 | Lozanic:Alt | RowGcd | missing | 1 1 1 2 2 3 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 60 | Lozanic:Alt | RowMax | A034872 | 1 1 1 2 4 6 10 19 38 66 126 236 472 868 1716 3235 6470 12190 24310 46252 92504 176484 352716 676270 | +| 61 | Lozanic:Alt | ColMiddle | A034872 | 1 1 -1 -2 4 6 -10 -19 38 66 -126 -236 472 868 -1716 -3235 6470 12190 -24310 -46252 92504 176484 | +| 62 | Lozanic:Alt | CentralE | A032123 | 1 -1 4 -10 38 -126 472 -1716 6470 -24310 92504 -352716 1352540 -5200300 20060016 -77558760 | +| 63 | Lozanic:Alt | CentralO | A005654 | 1 -2 6 -19 66 -236 868 -3235 12190 -46252 176484 -676270 2600612 -10030008 38781096 -150273315 | +| 64 | Lozanic:Alt | BinConv | missing | 1 0 0 0 10 0 36 0 358 0 2200 0 17524 0 125048 0 957254 0 7160112 0 54696460 0 416637848 0 | +| 65 | Lozanic:Alt | InvBinConv | missing | 1 -2 4 -14 42 -152 508 -1892 6758 -25556 94704 -361748 1369140 -5266848 20185064 -78054824 | +| 66 | Lozanic:Alt | TransNat0 | missing | 0 -1 1 -1 4 -2 12 -4 32 -8 80 -16 192 -32 448 -64 1024 -128 2304 -256 5120 -512 11264 -1024 24576 | +| 67 | Lozanic:Alt | TransNat1 | missing | 1 -1 2 -1 6 -2 16 -4 40 -8 96 -16 224 -32 512 -64 1152 -128 2560 -256 5632 -512 12288 -1024 26624 | +| 68 | Lozanic:Alt | TransSqrs | missing | 0 -1 3 -3 12 -10 48 -28 160 -72 480 -176 1344 -416 3584 -960 9216 -2176 23040 -4864 56320 -10752 | +| 69 | Lozanic:Alt | PosHalf | missing | 1 1 3 3 13 13 63 63 313 313 1563 1563 7813 7813 39063 39063 195313 195313 976563 976563 4882813 | +| 70 | Lozanic:Alt | NegHalf | missing | 1 -3 7 -21 53 -159 427 -1281 3593 -10779 31087 -93261 273533 -820599 2430547 -7291641 21718673 | +| 71 | Lozanic:Alt | DiagRow1 | A008619 | 1 -1 2 -2 3 -3 4 -4 5 -5 6 -6 7 -7 8 -8 9 -9 10 -10 11 -11 12 -12 13 -13 14 -14 15 -15 16 -16 | +| 72 | Lozanic:Alt | DiagRow2 | A025699 | 1 -2 4 -6 9 -12 16 -20 25 -30 36 -42 49 -56 64 -72 81 -90 100 -110 121 -132 144 -156 169 -182 196 | +| 73 | Lozanic:Alt | DiagRow3 | A005993 | 1 -2 6 -10 19 -28 44 -60 85 -110 146 -182 231 -280 344 -408 489 -570 670 -770 891 -1012 1156 -1300 | +| 74 | Lozanic:Alt | DiagCol1 | A008619 | -1 -1 -2 -2 -3 -3 -4 -4 -5 -5 -6 -6 -7 -7 -8 -8 -9 -9 -10 -10 -11 -11 -12 -12 -13 -13 -14 -14 -15 | +| 75 | Lozanic:Alt | DiagCol2 | A025699 | 1 2 4 6 9 12 16 20 25 30 36 42 49 56 64 72 81 90 100 110 121 132 144 156 169 182 196 210 225 240 | +| 76 | Lozanic:Alt | DiagCol3 | A005993 | -1 -2 -6 -10 -19 -28 -44 -60 -85 -110 -146 -182 -231 -280 -344 -408 -489 -570 -670 -770 -891 -1012 | +| 77 | Lozanic:Alt | Poly | missing | 1 1 1 1 0 1 1 1 -1 1 1 0 3 -2 1 1 2 -3 7 -3 1 1 0 13 -14 13 -4 1 1 4 -13 58 -39 21 -5 1 1 0 63 -116 | +| 78 | Lozanic:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 79 | Lozanic:Alt | PolyRow2 | A002061 | 1 1 3 7 13 21 31 43 57 73 91 111 133 157 183 211 241 273 307 343 381 421 463 507 553 601 651 703 | +| 80 | Lozanic:Alt | PolyRow3 | A027444 | 1 0 -3 -14 -39 -84 -155 -258 -399 -584 -819 -1110 -1463 -1884 -2379 -2954 -3615 -4368 -5219 -6174 | +| 81 | Lozanic:Alt | PolyCol2 | missing | 1 -1 3 -3 13 -13 63 -63 313 -313 1563 -1563 7813 -7813 39063 -39063 195313 -195313 976563 -976563 | +| 82 | Lozanic:Alt | PolyCol3 | missing | 1 -2 7 -14 58 -116 532 -1064 5128 -10256 50512 -101024 502048 -1004096 5008192 -10016384 50032768 | +| 83 | Lozanic:Alt | PolyDiag | missing | 1 0 3 -14 185 -1864 33139 -514968 11807713 -247957568 6998442451 -185135408160 6216271383673 | +| 84 | Lozanic:Inv | Triangle | A055138 | 1 -1 1 0 -1 1 1 0 -2 1 -1 2 0 -2 1 -1 -3 6 0 -3 1 4 -3 -7 8 0 -3 1 -1 18 -18 -13 17 0 -4 1 -19 -4 | +| 85 | Lozanic:Inv | Rev | missing | 1 1 -1 1 -1 0 1 -2 0 1 1 -2 0 2 -1 1 -3 0 6 -3 -1 1 -3 0 8 -7 -3 4 1 -4 0 17 -13 -18 18 -1 1 -4 0 | +| 86 | Lozanic:Inv | RevInv | A034851 | 1 1 1 1 1 1 1 2 2 1 1 2 4 2 1 1 3 6 6 3 1 1 3 9 10 9 3 1 1 4 12 19 19 12 4 1 1 4 16 28 38 28 16 4 1 | +| 87 | Lozanic:Inv | Acc | missing | 1 -1 0 0 -1 0 1 1 -1 0 -1 1 1 -1 0 -1 -4 2 2 -1 0 4 1 -6 2 2 -1 0 -1 17 -1 -14 3 3 -1 0 -19 -23 33 | +| 88 | Lozanic:Inv | AccRev | missing | 1 1 0 1 0 0 1 -1 -1 0 1 -1 -1 1 0 1 -2 -2 4 1 0 1 -2 -2 6 -1 -4 0 1 -3 -3 14 1 -17 1 0 1 -3 -3 17 | +| 89 | Lozanic:Inv | AntiDiag | missing | 1 -1 0 1 1 -1 -1 0 1 -1 2 -2 4 -3 0 1 -1 -3 6 -2 -19 18 -7 0 1 31 -4 -18 8 -3 120 -127 56 -13 0 1 | +| 90 | Lozanic:Inv | Diffx1 | missing | 1 -1 2 0 -2 3 1 0 -6 4 -1 4 0 -8 5 -1 -6 18 0 -15 6 4 -6 -21 32 0 -18 7 -1 36 -54 -52 85 0 -28 8 | +| 91 | Lozanic:Inv | EvenSum | missing | 1 -1 1 -1 0 2 -2 -6 16 24 -152 -88 1888 -752 -30416 49488 619264 -2029184 -15480192 86596736 | +| 92 | Lozanic:Inv | OddSum | missing | 0 1 -1 1 0 -2 2 6 -16 -24 152 88 -1888 752 30416 -49488 -619264 2029184 15480192 -86596736 | +| 93 | Lozanic:Inv | AltSum | missing | 1 -2 2 -2 0 4 -4 -12 32 48 -304 -176 3776 -1504 -60832 98976 1238528 -4058368 -30960384 173193472 | +| 94 | Lozanic:Inv | DiagSum | missing | 1 -1 1 0 0 -1 2 0 -7 14 37 -274 -117 5409 -3923 -126708 218702 3599687 -9874814 -123534970 | +| 95 | Lozanic:Inv | AccSum | missing | 1 -1 -1 1 0 -2 2 6 -16 -24 152 88 -1888 752 30416 -49488 -619264 2029184 15480192 -86596736 | +| 96 | Lozanic:Inv | AccRevSum | missing | 1 1 1 -1 0 2 -2 -6 16 24 -152 -88 1888 -752 -30416 49488 619264 -2029184 -15480192 86596736 | +| 97 | Lozanic:Inv | RowLcm | missing | 1 1 1 2 2 6 168 7956 58520 1180627560 599709600 3369603117819120 353784017275594040520 | +| 98 | Lozanic:Inv | RowGcd | B087102 | 1 1 1 2 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 99 | Lozanic:Inv | RowMax | missing | 1 1 1 2 2 6 8 18 56 136 511 1603 6104 24328 94727 474145 1851152 11611376 54118183 349311143 | +| 100 | Lozanic:Inv | ColMiddle | missing | 1 -1 -1 0 0 6 8 -13 -22 -98 -126 548 968 4100 4808 -39301 -71858 -352990 -376198 4730312 8838320 | +| 101 | Lozanic:Inv | CentralE | missing | 1 -1 0 8 -22 -126 968 4808 -71858 -376198 8838320 50043168 -1644054252 -10101018188 431610578224 | +| 102 | Lozanic:Inv | CentralO | missing | -1 0 6 -13 -98 548 4100 -39301 -352990 4730312 51058660 -867789026 -11050351524 225683560824 | +| 103 | Lozanic:Inv | ColLeft | A055139 | 1 -1 0 1 -1 -1 4 -1 -19 31 120 -483 -933 8623 6748 -189589 41561 5147391 -6328400 -170622599 | +| 104 | Lozanic:Inv | BinConv | missing | 1 0 -1 -4 0 30 24 -140 -502 -1180 11334 71568 -273592 -2290348 5847400 60070648 -16955314 | +| 105 | Lozanic:Inv | InvBinConv | missing | 1 2 3 6 0 -58 -224 -516 522 13176 42878 -113740 -1343160 -3650572 21802616 304212568 575793230 | +| 106 | Lozanic:Inv | TransNat0 | missing | 0 1 1 -1 0 2 -2 -6 16 24 -152 -88 1888 -752 -30416 49488 619264 -2029184 -15480192 86596736 | +| 107 | Lozanic:Inv | TransNat1 | missing | 1 1 1 -1 0 2 -2 -6 16 24 -152 -88 1888 -752 -30416 49488 619264 -2029184 -15480192 86596736 | +| 108 | Lozanic:Inv | TransSqrs | missing | 0 1 3 1 0 -2 2 6 -16 -24 152 88 -1888 752 30416 -49488 -619264 2029184 15480192 -86596736 | +| 109 | Lozanic:Inv | PosHalf | missing | 1 -1 -1 5 -3 -37 107 369 -2887 -3657 99671 -71011 -4576843 14787859 272568899 -1851714807 | +| 110 | Lozanic:Inv | NegHalf | missing | 1 3 3 -3 -27 -57 183 1521 -375 -45045 -80277 1800357 7427181 -96072369 -683228769 6607346841 | +| 111 | Lozanic:Inv | DiagRow1 | A008619 | -1 -1 -2 -2 -3 -3 -4 -4 -5 -5 -6 -6 -7 -7 -8 -8 -9 -9 -10 -10 -11 -11 -12 -12 -13 -13 -14 -14 -15 | +| 112 | Lozanic:Inv | DiagRow3 | missing | 1 2 6 8 17 20 36 40 65 70 106 112 161 168 232 240 321 330 430 440 561 572 716 728 897 910 1106 1120 | +| 113 | Lozanic:Inv | DiagCol1 | missing | 1 -1 0 2 -3 -3 18 -4 -127 163 1212 -3154 -15427 67553 251198 -1737128 -4989983 54118183 113792344 | +| 114 | Lozanic:Inv | DiagCol2 | missing | 1 -2 0 6 -7 -18 56 60 -511 -58 6104 -5998 -94727 231350 1851152 -8350344 -43987263 335148526 | +| 115 | Lozanic:Inv | DiagCol3 | missing | 1 -2 0 8 -13 -28 136 80 -1603 690 24328 -35848 -474145 1263336 11611376 -47348704 -349311143 | +| 116 | Lozanic:Inv | Poly | missing | 1 -1 1 0 0 1 1 0 1 1 -1 0 2 2 1 -1 0 1 6 3 1 4 0 3 10 12 4 1 -1 0 1 32 33 20 5 1 -19 0 2 44 135 76 | +| 117 | Lozanic:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 118 | Lozanic:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 119 | Lozanic:Inv | PolyRow3 | A085490 | 1 0 1 10 33 76 145 246 385 568 801 1090 1441 1860 2353 2926 3585 4336 5185 6138 7201 8380 9681 | +| 120 | Lozanic:Inv | PolyCol2 | missing | 1 1 2 1 3 1 2 3 5 -15 2 181 -169 -2623 5474 49383 -169783 -1167775 5970306 33831145 -245056341 | +| 121 | Lozanic:Inv | PolyCol3 | missing | 1 2 6 10 32 44 148 188 608 784 2544 2928 9792 15712 42016 -19744 197120 2072832 -2222336 -60660992 | +| 122 | Lozanic:Inv | PolyDiag | missing | 1 0 2 10 135 1384 24790 388548 8943053 188771008 5340310650 141757919920 4767229396611 | +| 123 | Lozanic:Inv:Rev | Triangle | missing | 1 1 -1 1 -1 0 1 -2 0 1 1 -2 0 2 -1 1 -3 0 6 -3 -1 1 -3 0 8 -7 -3 4 1 -4 0 17 -13 -18 18 -1 1 -4 0 | +| 124 | Lozanic:Inv:Rev | Rev | A055138 | 1 -1 1 0 -1 1 1 0 -2 1 -1 2 0 -2 1 -1 -3 6 0 -3 1 4 -3 -7 8 0 -3 1 -1 18 -18 -13 17 0 -4 1 -19 -4 | +| 125 | Lozanic:Inv:Rev | InvRev | A034851 | 1 1 1 1 1 1 1 2 2 1 1 2 4 2 1 1 3 6 6 3 1 1 3 9 10 9 3 1 1 4 12 19 19 12 4 1 1 4 16 28 38 28 16 4 1 | +| 126 | Lozanic:Inv:Rev | Acc | missing | 1 1 0 1 0 0 1 -1 -1 0 1 -1 -1 1 0 1 -2 -2 4 1 0 1 -2 -2 6 -1 -4 0 1 -3 -3 14 1 -17 1 0 1 -3 -3 17 | +| 127 | Lozanic:Inv:Rev | AccRev | missing | 1 -1 0 0 -1 0 1 1 -1 0 -1 1 1 -1 0 -1 -4 2 2 -1 0 4 1 -6 2 2 -1 0 -1 17 -1 -14 3 3 -1 0 -19 -23 33 | +| 128 | Lozanic:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -1 1 -2 0 1 -2 0 1 -3 0 1 1 -3 0 2 1 -4 0 6 -1 1 -4 0 8 -3 1 -5 0 17 -7 -1 1 -5 0 20 -13 | +| 129 | Lozanic:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -2 0 1 -4 0 4 1 -4 0 8 -5 1 -6 0 24 -15 -6 1 -6 0 32 -35 -18 28 1 -8 0 68 -65 -108 126 -8 | +| 130 | Lozanic:Inv:Rev | EvenSum | missing | 1 1 1 1 0 -2 -2 6 16 -24 -152 88 1888 752 -30416 -49488 619264 2029184 -15480192 -86596736 | +| 131 | Lozanic:Inv:Rev | OddSum | missing | 0 -1 -1 -1 0 2 2 -6 -16 24 152 -88 -1888 -752 30416 49488 -619264 -2029184 15480192 86596736 | +| 132 | Lozanic:Inv:Rev | AltSum | missing | 1 2 2 2 0 -4 -4 12 32 -48 -304 176 3776 1504 -60832 -98976 1238528 4058368 -30960384 -173193472 | +| 133 | Lozanic:Inv:Rev | DiagSum | missing | 1 1 0 0 -1 -1 -1 0 2 2 5 0 -5 -9 -34 0 -3 85 319 32 522 -1306 -3761 -1760 -15571 26853 48300 79392 | +| 134 | Lozanic:Inv:Rev | AccSum | missing | 1 1 1 -1 0 2 -2 -6 16 24 -152 -88 1888 -752 -30416 49488 619264 -2029184 -15480192 86596736 | +| 135 | Lozanic:Inv:Rev | AccRevSum | missing | 1 -1 -1 1 0 -2 2 6 -16 -24 152 88 -1888 752 30416 -49488 -619264 2029184 15480192 -86596736 | +| 136 | Lozanic:Inv:Rev | RowLcm | missing | 1 1 1 2 2 6 168 7956 58520 1180627560 599709600 3369603117819120 353784017275594040520 | +| 137 | Lozanic:Inv:Rev | RowGcd | B087102 | 1 1 1 2 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 138 | Lozanic:Inv:Rev | RowMax | missing | 1 1 1 2 2 6 8 18 56 136 511 1603 6104 24328 94727 474145 1851152 11611376 54118183 349311143 | +| 139 | Lozanic:Inv:Rev | ColMiddle | missing | 1 1 -1 -2 0 0 8 17 -22 -34 -126 -336 968 1608 4808 15777 -71858 -125562 -376198 -1427860 8838320 | +| 140 | Lozanic:Inv:Rev | CentralE | missing | 1 -1 0 8 -22 -126 968 4808 -71858 -376198 8838320 50043168 -1644054252 -10101018188 431610578224 | +| 141 | Lozanic:Inv:Rev | CentralO | missing | 1 -2 0 17 -34 -336 1608 15777 -125562 -1427860 15955664 210948682 -3033012724 -46060191984 | +| 142 | Lozanic:Inv:Rev | ColRight | A055139 | 1 -1 0 1 -1 -1 4 -1 -19 31 120 -483 -933 8623 6748 -189589 41561 5147391 -6328400 -170622599 | +| 143 | Lozanic:Inv:Rev | BinConv | missing | 1 0 -1 -4 0 30 24 -140 -502 -1180 11334 71568 -273592 -2290348 5847400 60070648 -16955314 | +| 144 | Lozanic:Inv:Rev | InvBinConv | missing | 1 -2 3 -6 0 58 -224 516 522 -13176 42878 113740 -1343160 3650572 21802616 -304212568 575793230 | +| 145 | Lozanic:Inv:Rev | TransNat0 | missing | 0 -1 -1 1 0 -2 2 6 -16 -24 152 88 -1888 752 30416 -49488 -619264 2029184 15480192 -86596736 | +| 146 | Lozanic:Inv:Rev | TransNat1 | missing | 1 -1 -1 1 0 -2 2 6 -16 -24 152 88 -1888 752 30416 -49488 -619264 2029184 15480192 -86596736 | +| 147 | Lozanic:Inv:Rev | TransSqrs | missing | 0 -1 -1 7 0 -22 26 90 -272 -456 3192 2024 -47200 20304 882064 -1534128 -20435712 71021440 572767104 | +| 148 | Lozanic:Inv:Rev | PosHalf | missing | 1 1 2 1 3 1 2 3 5 -15 2 181 -169 -2623 5474 49383 -169783 -1167775 5970306 33831145 -245056341 | +| 149 | Lozanic:Inv:Rev | NegHalf | missing | 1 -3 6 -15 27 -51 78 -117 213 -531 1014 -267 -2433 -13683 91806 105471 -1975575 -1055523 57489894 | +| 150 | Lozanic:Inv:Rev | DiagRow1 | missing | 1 -1 0 2 -3 -3 18 -4 -127 163 1212 -3154 -15427 67553 251198 -1737128 -4989983 54118183 113792344 | +| 151 | Lozanic:Inv:Rev | DiagRow2 | missing | 1 -2 0 6 -7 -18 56 60 -511 -58 6104 -5998 -94727 231350 1851152 -8350344 -43987263 335148526 | +| 152 | Lozanic:Inv:Rev | DiagRow3 | missing | 1 -2 0 8 -13 -28 136 80 -1603 690 24328 -35848 -474145 1263336 11611376 -47348704 -349311143 | +| 153 | Lozanic:Inv:Rev | DiagCol1 | A008619 | -1 -1 -2 -2 -3 -3 -4 -4 -5 -5 -6 -6 -7 -7 -8 -8 -9 -9 -10 -10 -11 -11 -12 -12 -13 -13 -14 -14 -15 | +| 154 | Lozanic:Inv:Rev | DiagCol3 | missing | 1 2 6 8 17 20 36 40 65 70 106 112 161 168 232 240 321 330 430 440 561 572 716 728 897 910 1106 1120 | +| 155 | Lozanic:Inv:Rev | Poly | A362899 | 1 1 1 1 0 1 1 0 -1 1 1 0 -1 -2 1 1 0 5 -2 -3 1 1 0 -3 22 -3 -4 1 1 0 -37 -32 57 -4 -5 1 1 0 107 | +| 156 | Lozanic:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 157 | Lozanic:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 158 | Lozanic:Inv:Rev | PolyRow3 | A033445 | 1 0 5 22 57 116 205 330 497 712 981 1310 1705 2172 2717 3346 4065 4880 5797 6822 7961 9220 10605 | +| 159 | Lozanic:Inv:Rev | PolyCol2 | missing | 1 -1 -1 5 -3 -37 107 369 -2887 -3657 99671 -71011 -4576843 14787859 272568899 -1851714807 | +| 160 | Lozanic:Inv:Rev | PolyCol3 | missing | 1 -2 -2 22 -32 -332 1828 5956 -100640 -18320 7292848 -23743088 -705224384 5738455456 87508486816 | +| 161 | Lozanic:Inv:Rev | PolyDiag | missing | 1 0 -1 22 -135 -4264 155935 966204 -313473055 6896372032 1312974939951 -106834615142320 | \ No newline at end of file diff --git a/data/md/MoebiusMat.md b/data/md/MoebiusMat.md index 9c10a6e..a8d0339 100644 --- a/data/md/MoebiusMat.md +++ b/data/md/MoebiusMat.md @@ -37,104 +37,141 @@ | 34 | MoebiusMat:Std | PolyCol2 | B027375 | 1 2 2 6 12 30 54 126 240 504 990 2046 4020 8190 16254 32730 65280 131070 261576 524286 1047540 | | 35 | MoebiusMat:Std | PolyCol3 | A054718 | 1 3 6 24 72 240 696 2184 6480 19656 58800 177144 530640 1594320 4780776 14348640 43040160 129140160 | | 36 | MoebiusMat:Std | PolyDiag | A252764 | 1 1 2 24 240 3120 46410 823536 16773120 387419760 9999899910 285311670600 8916097441680 | -| 37 | MoebiusMat:Rev | Triangle | missing | 1 1 0 1 -1 0 1 0 -1 0 1 0 -1 0 0 1 0 0 0 -1 0 1 0 0 -1 -1 1 0 1 0 0 0 0 0 -1 0 1 0 0 0 -1 0 0 0 0 1 | -| 38 | MoebiusMat:Rev | InvRev | A113704 | 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 0 1 0 | -| 39 | MoebiusMat:Rev | Acc | missing | 1 1 1 1 0 0 1 1 0 0 1 1 0 0 0 1 1 1 1 0 0 1 1 1 0 -1 0 0 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 | -| 40 | MoebiusMat:Rev | AccRev | missing | 1 0 1 0 -1 0 0 -1 -1 0 0 0 -1 -1 0 0 -1 -1 -1 -1 0 0 1 0 -1 -1 -1 0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 | -| 41 | MoebiusMat:Rev | AntiDiag | missing | 1 1 1 0 1 -1 1 0 0 1 0 -1 1 0 -1 0 1 0 0 0 1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 -1 0 1 0 0 0 0 1 1 0 0 0 | -| 42 | MoebiusMat:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 0 -3 0 1 0 -3 0 0 1 0 0 0 -5 0 1 0 0 -4 -5 6 0 1 0 0 0 0 0 -7 0 1 0 0 0 -5 0 0 0 0 1 | -| 43 | MoebiusMat:Rev | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 44 | MoebiusMat:Rev | EvenSum | A014060 | 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 45 | MoebiusMat:Rev | OddSum | A085979 | 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 46 | MoebiusMat:Rev | AltSum | A130779 | 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 47 | MoebiusMat:Rev | DiagSum | missing | 1 1 1 0 1 0 0 1 1 -1 0 2 0 0 1 -1 1 1 -1 2 0 -1 2 1 0 -1 0 0 1 2 -1 1 | -| 48 | MoebiusMat:Rev | AccSum | A225530 | 1 2 1 2 2 4 2 6 4 6 4 10 4 12 6 8 8 16 6 18 8 12 10 22 8 20 12 18 12 28 8 30 | -| 49 | MoebiusMat:Rev | AccRevSum | A000010 | 1 1 -1 -2 -2 -4 -2 -6 -4 -6 -4 -10 -4 -12 -6 -8 -8 -16 -6 -18 -8 -12 -10 -22 -8 -20 -12 -18 -12 -28 | -| 50 | MoebiusMat:Rev | ColMiddle | A266591 | 1 1 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 | -| 51 | MoebiusMat:Rev | BinConv | missing | 1 1 -1 -2 -5 -4 -28 -6 -69 -83 -286 -10 -1352 -12 -3508 -3442 -12869 -16 -66367 -18 -189410 -117588 | -| 52 | MoebiusMat:Rev | InvBinConv | missing | 1 -1 3 2 -5 4 0 6 -69 83 198 10 -1352 12 3328 3442 -12869 16 29241 18 -189410 117588 705180 22 | -| 53 | MoebiusMat:Rev | TransNat0 | B000010 | 0 0 -1 -2 -2 -4 -2 -6 -4 -6 -4 -10 -4 -12 -6 -8 -8 -16 -6 -18 -8 -12 -10 -22 -8 -20 -12 -18 -12 -28 | -| 54 | MoebiusMat:Rev | TransNat1 | A000010 | 1 1 -1 -2 -2 -4 -2 -6 -4 -6 -4 -10 -4 -12 -6 -8 -8 -16 -6 -18 -8 -12 -10 -22 -8 -20 -12 -18 -12 -28 | -| 55 | MoebiusMat:Rev | TransSqrs | missing | 0 0 -1 -4 -4 -16 0 -36 -16 -36 -8 -100 0 -144 -24 -48 -64 -256 0 -324 -32 -120 -80 -484 0 -400 -120 | -| 56 | MoebiusMat:Rev | PosHalf | B027375 | 1 2 2 6 12 30 54 126 240 504 990 2046 4020 8190 16254 32730 65280 131070 261576 524286 1047540 | -| 57 | MoebiusMat:Rev | NegHalf | missing | 1 -2 6 -6 12 -30 66 -126 240 -504 1050 -2046 4020 -8190 16506 -32730 65280 -131070 262584 -524286 | -| 58 | MoebiusMat:Rev | DiagRow1 | A008683 | 1 -1 -1 0 -1 1 -1 0 0 1 -1 0 -1 1 1 0 -1 0 -1 0 1 1 -1 0 0 1 0 0 -1 -1 -1 0 | -| 59 | MoebiusMat:Rev | DiagRow2 | A036988 | 1 0 -1 0 -1 0 0 0 -1 0 1 0 -1 0 0 0 0 0 1 0 -1 0 0 0 -1 0 1 0 1 0 0 0 | -| 60 | MoebiusMat:Rev | DiagRow3 | A037011 | 1 0 0 -1 0 0 -1 0 0 0 0 0 -1 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 1 0 0 -1 0 | -| 61 | MoebiusMat:Rev | DiagCol1 | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 62 | MoebiusMat:Rev | DiagCol2 | A093313 | 0 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 63 | MoebiusMat:Rev | DiagCol3 | A045840 | 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 64 | MoebiusMat:Rev | Poly | A071024 | 1 1 1 1 1 1 1 0 1 1 1 0 -1 1 1 1 0 -3 -2 1 1 1 0 -3 -8 -3 1 1 1 0 -15 -8 -15 -4 1 1 1 0 9 -80 -15 | -| 65 | MoebiusMat:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 66 | MoebiusMat:Rev | PolyRow3 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | -| 67 | MoebiusMat:Rev | PolyCol2 | missing | 1 1 -1 -3 -3 -15 9 -63 -15 -63 225 -1023 705 -4095 3969 11265 -255 -65535 28161 -262143 195585 | -| 68 | MoebiusMat:Rev | PolyCol3 | missing | 1 1 -2 -8 -8 -80 136 -728 -80 -728 12880 -59048 51760 -531440 1060696 4192480 -6560 -43046720 | -| 69 | MoebiusMat:Rev | PolyDiag | missing | 1 1 -1 -8 -15 -624 6265 -117648 -4095 -531440 899900001 -25937424600 61484396545 -23298085122480 | -| 70 | MoebiusMat:Inv | Triangle | A113704 | 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 0 1 0 | -| 71 | MoebiusMat:Inv | Rev | A117195 | 1 1 0 1 1 0 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 | -| 72 | MoebiusMat:Inv | RevInv | missing | 1 1 0 1 -1 0 1 0 -1 0 1 0 -1 0 0 1 0 0 0 -1 0 1 0 0 -1 -1 1 0 1 0 0 0 0 0 -1 0 1 0 0 0 -1 0 0 0 0 1 | -| 73 | MoebiusMat:Inv | Acc | missing | 1 0 1 0 1 2 0 1 1 2 0 1 2 2 3 0 1 1 1 1 2 0 1 2 3 3 3 4 0 1 1 1 1 1 1 2 0 1 2 2 3 3 3 3 4 0 1 1 2 2 | -| 74 | MoebiusMat:Inv | AccRev | missing | 1 1 1 1 2 2 1 1 2 2 1 1 2 3 3 1 1 1 1 2 2 1 1 1 2 3 4 4 1 1 1 1 1 1 2 2 1 1 1 1 2 2 3 4 4 1 1 1 1 1 | -| 75 | MoebiusMat:Inv | AntiDiag | missing | 1 0 0 1 0 1 0 1 1 0 1 0 0 1 1 1 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1 1 1 1 0 1 0 | -| 76 | MoebiusMat:Inv | Diffx1 | missing | 1 0 2 0 2 3 0 2 0 4 0 2 3 0 5 0 2 0 0 0 6 0 2 3 4 0 0 7 0 2 0 0 0 0 0 8 0 2 3 0 5 0 0 0 9 0 2 0 4 0 | -| 77 | MoebiusMat:Inv | RowSum | A000005 | 1 1 2 2 3 2 4 2 4 3 4 2 6 2 4 4 5 2 6 2 6 4 4 2 8 3 4 4 6 2 8 2 | -| 78 | MoebiusMat:Inv | EvenSum | A183063 | 1 0 1 0 2 0 2 0 3 0 2 0 4 0 2 0 4 0 3 0 4 0 2 0 6 0 2 0 4 0 4 0 | -| 79 | MoebiusMat:Inv | OddSum | A001227 | 0 1 1 2 1 2 2 2 1 3 2 2 2 2 2 4 1 2 3 2 2 4 2 2 2 3 2 4 2 2 4 2 | -| 80 | MoebiusMat:Inv | AltSum | A048272 | 1 -1 0 -2 1 -2 0 -2 2 -3 0 -2 2 -2 0 -4 3 -2 0 -2 2 -4 0 -2 4 -3 0 -4 2 -2 0 -2 | -| 81 | MoebiusMat:Inv | DiagSum | A239707 | 1 0 1 1 2 1 3 1 3 2 3 1 5 1 3 3 4 1 5 1 5 3 3 1 7 2 3 3 5 1 7 1 | -| 82 | MoebiusMat:Inv | AccSum | A081307 | 1 1 3 4 8 6 16 8 21 17 26 12 50 14 36 40 54 18 75 20 84 56 56 24 140 47 66 72 118 30 176 32 | -| 83 | MoebiusMat:Inv | AccRevSum | A007503 | 1 2 5 6 10 8 16 10 19 16 22 14 34 16 28 28 36 20 45 22 48 36 40 26 68 34 46 44 62 32 80 34 | -| 84 | MoebiusMat:Inv | ColMiddle | B135528 | 1 0 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | -| 85 | MoebiusMat:Inv | CentralO | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 86 | MoebiusMat:Inv | BinConv | A056045 | 1 1 3 4 11 6 42 8 107 94 308 12 1718 14 3538 3474 14827 18 68172 20 205316 117632 705686 24 3587174 | -| 87 | MoebiusMat:Inv | InvBinConv | missing | 1 1 -1 4 3 6 -10 8 91 94 -216 12 1254 14 -3354 3474 14795 18 -30736 20 174268 117632 -705222 24 | -| 88 | MoebiusMat:Inv | TransNat0 | A000203 | 0 1 3 4 7 6 12 8 15 13 18 12 28 14 24 24 31 18 39 20 42 32 36 24 60 31 42 40 56 30 72 32 | -| 89 | MoebiusMat:Inv | TransNat1 | A007503 | 1 2 5 6 10 8 16 10 19 16 22 14 34 16 28 28 36 20 45 22 48 36 40 26 68 34 46 44 62 32 80 34 | -| 90 | MoebiusMat:Inv | TransSqrs | A001157 | 0 1 5 10 21 26 50 50 85 91 130 122 210 170 250 260 341 290 455 362 546 500 610 530 850 651 850 820 | -| 91 | MoebiusMat:Inv | PosHalf | A074854 | 1 1 3 5 13 17 57 65 209 321 801 1025 3905 4097 12417 21505 53505 65537 233985 262145 885761 1327105 | -| 92 | MoebiusMat:Inv | NegHalf | missing | 1 1 -1 5 -3 17 -23 65 -47 321 -287 1025 -1215 4097 -4223 21505 -12031 65537 -94719 262145 -228351 | -| 93 | MoebiusMat:Inv | DiagRow1 | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 94 | MoebiusMat:Inv | DiagRow2 | A093313 | 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 95 | MoebiusMat:Inv | DiagRow3 | A014053 | 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 96 | MoebiusMat:Inv | DiagCol2 | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | -| 97 | MoebiusMat:Inv | DiagCol3 | A024692 | 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 | -| 98 | MoebiusMat:Inv | Poly | A062135 | 1 0 1 0 1 1 0 2 2 1 0 2 6 3 1 0 3 10 12 4 1 0 2 22 30 20 5 1 0 4 34 93 68 30 6 1 0 2 78 246 276 130 | -| 99 | MoebiusMat:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 100 | MoebiusMat:Inv | PolyRow2 | A002378 | 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | -| 101 | MoebiusMat:Inv | PolyRow3 | A034262 | 0 2 10 30 68 130 222 350 520 738 1010 1342 1740 2210 2758 3390 4112 4930 5850 6878 8020 9282 10670 | -| 102 | MoebiusMat:Inv | PolyCol2 | A055895 | 1 2 6 10 22 34 78 130 278 522 1062 2050 4190 8194 16518 32810 65814 131074 262734 524290 1049654 | -| 103 | MoebiusMat:Inv | PolyCol3 | A363913 | 1 3 12 30 93 246 768 2190 6654 19713 59304 177150 532290 1594326 4785168 14349180 43053375 | -| 104 | MoebiusMat:Inv | PolyDiag | A066108 | 1 1 6 30 276 3130 46914 823550 16781384 387421227 10000100110 285311670622 8916103456860 | -| 105 | MoebiusMat:Inv:Rev | Triangle | A117195 | 1 1 0 1 1 0 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 | -| 106 | MoebiusMat:Inv:Rev | Rev | A113704 | 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 0 1 0 | -| 107 | MoebiusMat:Inv:Rev | InvRev | A363914 | 1 0 1 0 -1 1 0 -1 0 1 0 0 -1 0 1 0 -1 0 0 0 1 0 1 -1 -1 0 0 1 0 -1 0 0 0 0 0 1 0 0 0 0 -1 0 0 0 1 0 | -| 108 | MoebiusMat:Inv:Rev | Acc | missing | 1 1 1 1 2 2 1 1 2 2 1 1 2 3 3 1 1 1 1 2 2 1 1 1 2 3 4 4 1 1 1 1 1 1 2 2 1 1 1 1 2 2 3 4 4 1 1 1 1 1 | -| 109 | MoebiusMat:Inv:Rev | AccRev | missing | 1 0 1 0 1 2 0 1 1 2 0 1 2 2 3 0 1 1 1 1 2 0 1 2 3 3 3 4 0 1 1 1 1 1 1 2 0 1 2 2 3 3 3 3 4 0 1 1 2 2 | -| 110 | MoebiusMat:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 0 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 | -| 111 | MoebiusMat:Inv:Rev | Diffx1 | missing | 1 1 0 1 2 0 1 0 3 0 1 0 3 4 0 1 0 0 0 5 0 1 0 0 4 5 6 0 1 0 0 0 0 0 7 0 1 0 0 0 5 0 7 8 0 1 0 0 0 0 | -| 112 | MoebiusMat:Inv:Rev | RowSum | A000005 | 1 1 2 2 3 2 4 2 4 3 4 2 6 2 4 4 5 2 6 2 6 4 4 2 8 3 4 4 6 2 8 2 | -| 113 | MoebiusMat:Inv:Rev | EvenSum | A320111 | 1 1 1 2 2 2 2 2 3 3 2 2 4 2 2 4 4 2 3 2 4 4 2 2 6 3 2 4 4 2 4 2 | -| 114 | MoebiusMat:Inv:Rev | OddSum | missing | 0 0 1 0 1 0 2 0 1 0 2 0 2 0 2 0 1 0 3 0 2 0 2 0 2 0 2 0 2 0 4 0 | -| 115 | MoebiusMat:Inv:Rev | AltSum | A048272 | 1 1 0 2 1 2 0 2 2 3 0 2 2 2 0 4 3 2 0 2 2 4 0 2 4 3 0 4 2 2 0 2 | -| 116 | MoebiusMat:Inv:Rev | DiagSum | A001227 | 1 1 1 2 1 2 2 2 1 3 2 2 2 2 2 4 1 2 3 2 2 4 2 2 2 3 2 4 2 2 4 2 | -| 117 | MoebiusMat:Inv:Rev | AccSum | A007503 | 1 2 5 6 10 8 16 10 19 16 22 14 34 16 28 28 36 20 45 22 48 36 40 26 68 34 46 44 62 32 80 34 | -| 118 | MoebiusMat:Inv:Rev | AccRevSum | A081307 | 1 1 3 4 8 6 16 8 21 17 26 12 50 14 36 40 54 18 75 20 84 56 56 24 140 47 66 72 118 30 176 32 | -| 119 | MoebiusMat:Inv:Rev | ColMiddle | A266591 | 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | -| 120 | MoebiusMat:Inv:Rev | BinConv | A056045 | 1 1 3 4 11 6 42 8 107 94 308 12 1718 14 3538 3474 14827 18 68172 20 205316 117632 705686 24 3587174 | -| 121 | MoebiusMat:Inv:Rev | InvBinConv | missing | 1 -1 -1 -4 3 -6 -10 -8 91 -94 -216 -12 1254 -14 -3354 -3474 14795 -18 -30736 -20 174268 -117632 | -| 122 | MoebiusMat:Inv:Rev | TransNat0 | A094471 | 0 0 1 2 5 4 12 6 17 14 22 10 44 12 32 36 49 16 69 18 78 52 52 22 132 44 62 68 112 28 168 30 | -| 123 | MoebiusMat:Inv:Rev | TransNat1 | A081307 | 1 1 3 4 8 6 16 8 21 17 26 12 50 14 36 40 54 18 75 20 84 56 56 24 140 47 66 72 118 30 176 32 | -| 124 | MoebiusMat:Inv:Rev | TransSqrs | A367326 | 0 0 1 4 13 16 50 36 101 100 170 100 402 144 362 440 629 256 995 324 1266 920 962 484 2578 976 1370 | -| 125 | MoebiusMat:Inv:Rev | PosHalf | A055895 | 1 2 6 10 22 34 78 130 278 522 1062 2050 4190 8194 16518 32810 65814 131074 262734 524290 1049654 | -| 126 | MoebiusMat:Inv:Rev | NegHalf | missing | 1 -2 2 -10 18 -34 58 -130 274 -522 994 -2050 4170 -8194 16258 -32810 65810 -131074 261690 -524290 | -| 127 | MoebiusMat:Inv:Rev | DiagRow2 | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | -| 128 | MoebiusMat:Inv:Rev | DiagRow3 | A024692 | 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 | -| 129 | MoebiusMat:Inv:Rev | DiagCol1 | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 130 | MoebiusMat:Inv:Rev | DiagCol2 | A093313 | 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 131 | MoebiusMat:Inv:Rev | DiagCol3 | A014053 | 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 132 | MoebiusMat:Inv:Rev | Poly | A046854 | 1 1 1 1 1 1 1 2 1 1 1 2 3 1 1 1 3 5 4 1 1 1 2 13 10 5 1 1 1 4 17 37 17 6 1 1 1 2 57 82 81 26 7 1 1 | -| 133 | MoebiusMat:Inv:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 134 | MoebiusMat:Inv:Rev | PolyRow3 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 135 | MoebiusMat:Inv:Rev | PolyCol2 | A074854 | 1 1 3 5 13 17 57 65 209 321 801 1025 3905 4097 12417 21505 53505 65537 233985 262145 885761 1327105 | -| 136 | MoebiusMat:Inv:Rev | PolyCol3 | A357051 | 1 1 4 10 37 82 352 730 2998 7291 26488 59050 263170 531442 2127952 5373460 19669879 43046722 | -| 137 | MoebiusMat:Inv:Rev | PolyDiag | missing | 1 1 3 10 81 626 9289 117650 2363393 43578163 1100100001 25937424602 810518482945 23298085122482 | \ No newline at end of file +| 37 | MoebiusMat:Alt | Triangle | A363914 | 1 0 -1 0 1 1 0 1 0 -1 0 0 -1 0 1 0 1 0 0 0 -1 0 -1 -1 1 0 0 1 0 1 0 0 0 0 0 -1 0 0 0 0 -1 0 0 0 1 0 | +| 38 | MoebiusMat:Alt | Rev | missing | 1 -1 0 1 1 0 -1 0 1 0 1 0 -1 0 0 -1 0 0 0 1 0 1 0 0 1 -1 -1 0 -1 0 0 0 0 0 1 0 1 0 0 0 -1 0 0 0 0 | +| 39 | MoebiusMat:Alt | Inv | A113704 | 1 0 1 0 -1 1 0 -1 0 1 0 -1 1 0 1 0 -1 0 0 0 1 0 1 1 -1 0 0 1 0 -1 0 0 0 0 0 1 0 -1 1 0 1 0 0 0 1 0 | +| 40 | MoebiusMat:Alt | RevInv | A117195 | 1 1 0 1 -1 0 1 0 -1 0 1 0 1 -1 0 1 0 0 0 -1 0 1 0 0 -1 1 1 0 1 0 0 0 0 0 -1 0 1 0 0 0 1 0 1 -1 0 1 | +| 41 | MoebiusMat:Alt | Acc | missing | 1 0 -1 0 1 2 0 1 1 0 0 0 -1 -1 0 0 1 1 1 1 0 0 -1 -2 -1 -1 -1 0 0 1 1 1 1 1 1 0 0 0 0 0 -1 -1 -1 -1 | +| 42 | MoebiusMat:Alt | AccRev | missing | 1 -1 -1 1 2 2 -1 -1 0 0 1 1 0 0 0 -1 -1 -1 -1 0 0 1 1 1 2 1 0 0 -1 -1 -1 -1 -1 -1 0 0 1 1 1 1 0 0 0 | +| 43 | MoebiusMat:Alt | AntiDiag | A262855 | 1 0 0 -1 0 1 0 1 1 0 0 0 0 1 -1 -1 0 -1 0 0 0 1 -1 0 1 0 0 0 1 0 0 0 0 0 0 -1 0 -1 0 0 0 0 0 1 -1 1 | +| 44 | MoebiusMat:Alt | Diffx1 | missing | 1 0 -2 0 2 3 0 2 0 -4 0 0 -3 0 5 0 2 0 0 0 -6 0 -2 -3 4 0 0 7 0 2 0 0 0 0 0 -8 0 0 0 0 -5 0 0 0 9 0 | +| 45 | MoebiusMat:Alt | RowSum | A130779 | 1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 46 | MoebiusMat:Alt | EvenSum | A014053 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 47 | MoebiusMat:Alt | OddSum | A093313 | 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 48 | MoebiusMat:Alt | AltSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 49 | MoebiusMat:Alt | DiagSum | missing | 1 0 -1 1 2 0 -1 -1 1 1 -1 -1 1 0 1 0 -2 0 0 0 3 0 -1 -1 -1 0 -1 0 2 0 1 1 | +| 50 | MoebiusMat:Alt | AccSum | A325596 | 1 -1 3 2 -2 4 -6 6 -4 6 -12 10 -4 12 -18 8 -8 16 -18 18 -8 12 -30 22 -8 20 -36 18 -12 28 -24 30 | +| 51 | MoebiusMat:Alt | AccRevSum | B325596 | 1 -2 5 -2 2 -4 6 -6 4 -6 12 -10 4 -12 18 -8 8 -16 18 -18 8 -12 30 -22 8 -20 36 -18 12 -28 24 -30 | +| 52 | MoebiusMat:Alt | ColMiddle | B163805 | 1 0 1 1 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 | +| 53 | MoebiusMat:Alt | CentralO | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 54 | MoebiusMat:Alt | BinConv | missing | 1 -1 3 2 -5 4 0 6 -69 83 198 10 -1352 12 3328 3442 -12869 16 29241 18 -189410 117588 705180 22 | +| 55 | MoebiusMat:Alt | InvBinConv | missing | 1 -1 -1 2 -5 4 -28 6 -69 83 -286 10 -1352 12 -3508 3442 -12869 16 -66367 18 -189410 117588 -705640 | +| 56 | MoebiusMat:Alt | TransNat0 | A325596 | 0 -1 3 -2 2 -4 6 -6 4 -6 12 -10 4 -12 18 -8 8 -16 18 -18 8 -12 30 -22 8 -20 36 -18 12 -28 24 -30 | +| 57 | MoebiusMat:Alt | TransNat1 | B325596 | 1 -2 5 -2 2 -4 6 -6 4 -6 12 -10 4 -12 18 -8 8 -16 18 -18 8 -12 30 -22 8 -20 36 -18 12 -28 24 -30 | +| 58 | MoebiusMat:Alt | TransSqrs | A338547 | 0 -1 5 -8 12 -24 40 -48 48 -72 120 -120 96 -168 240 -192 192 -288 360 -360 288 -384 600 -528 384 | +| 59 | MoebiusMat:Alt | PosHalf | missing | 1 -1 3 3 -3 15 -39 63 -15 63 -735 1023 705 4095 -12159 -11265 -255 65535 -36351 262143 195585 | +| 60 | MoebiusMat:Alt | NegHalf | missing | 1 -1 -1 3 -3 15 9 63 -15 63 225 1023 705 4095 3969 -11265 -255 65535 28161 262143 195585 -770049 | +| 61 | MoebiusMat:Alt | DiagRow1 | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 62 | MoebiusMat:Alt | DiagRow2 | A093313 | 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 63 | MoebiusMat:Alt | DiagRow3 | A045840 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 64 | MoebiusMat:Alt | DiagCol1 | A008683 | -1 1 1 0 1 -1 1 0 0 -1 1 0 1 -1 -1 0 1 0 1 0 -1 -1 1 0 0 -1 0 0 1 1 1 0 | +| 65 | MoebiusMat:Alt | DiagCol2 | A036988 | 1 0 -1 0 -1 0 0 0 -1 0 1 0 -1 0 0 0 0 0 1 0 -1 0 0 0 -1 0 1 0 1 0 0 0 | +| 66 | MoebiusMat:Alt | DiagCol3 | A037011 | -1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 -1 0 0 1 0 | +| 67 | MoebiusMat:Alt | Poly | missing | 1 0 1 0 -1 1 0 2 -2 1 0 0 6 -3 1 0 0 -6 12 -4 1 0 0 12 -24 20 -5 1 0 0 -30 72 -60 30 -6 1 0 0 66 | +| 68 | MoebiusMat:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 69 | MoebiusMat:Alt | PolyRow2 | A002378 | 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | +| 70 | MoebiusMat:Alt | PolyRow3 | B007531 | 0 0 -6 -24 -60 -120 -210 -336 -504 -720 -990 -1320 -1716 -2184 -2730 -3360 -4080 -4896 -5814 -6840 | +| 71 | MoebiusMat:Alt | PolyCol2 | missing | 1 -2 6 -6 12 -30 66 -126 240 -504 1050 -2046 4020 -8190 16506 -32730 65280 -131070 262584 -524286 | +| 72 | MoebiusMat:Alt | PolyCol3 | missing | 1 -3 12 -24 72 -240 744 -2184 6480 -19656 59280 -177144 530640 -1594320 4785144 -14348640 43040160 | +| 73 | MoebiusMat:Alt | PolyDiag | missing | 1 -1 6 -24 240 -3120 46830 -823536 16773120 -387419760 10000099890 -285311670600 8916097441680 | +| 74 | MoebiusMat:Rev | Triangle | missing | 1 1 0 1 -1 0 1 0 -1 0 1 0 -1 0 0 1 0 0 0 -1 0 1 0 0 -1 -1 1 0 1 0 0 0 0 0 -1 0 1 0 0 0 -1 0 0 0 0 1 | +| 75 | MoebiusMat:Rev | InvRev | A113704 | 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 0 1 0 | +| 76 | MoebiusMat:Rev | Acc | missing | 1 1 1 1 0 0 1 1 0 0 1 1 0 0 0 1 1 1 1 0 0 1 1 1 0 -1 0 0 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 | +| 77 | MoebiusMat:Rev | AccRev | missing | 1 0 1 0 -1 0 0 -1 -1 0 0 0 -1 -1 0 0 -1 -1 -1 -1 0 0 1 0 -1 -1 -1 0 0 -1 -1 -1 -1 -1 -1 0 0 0 0 0 | +| 78 | MoebiusMat:Rev | AntiDiag | missing | 1 1 1 0 1 -1 1 0 0 1 0 -1 1 0 -1 0 1 0 0 0 1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 -1 0 1 0 0 0 0 1 1 0 0 0 | +| 79 | MoebiusMat:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 0 -3 0 1 0 -3 0 0 1 0 0 0 -5 0 1 0 0 -4 -5 6 0 1 0 0 0 0 0 -7 0 1 0 0 0 -5 0 0 0 0 1 | +| 80 | MoebiusMat:Rev | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 81 | MoebiusMat:Rev | EvenSum | A014060 | 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 82 | MoebiusMat:Rev | OddSum | A085979 | 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 83 | MoebiusMat:Rev | AltSum | A130779 | 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 84 | MoebiusMat:Rev | DiagSum | missing | 1 1 1 0 1 0 0 1 1 -1 0 2 0 0 1 -1 1 1 -1 2 0 -1 2 1 0 -1 0 0 1 2 -1 1 | +| 85 | MoebiusMat:Rev | AccSum | A225530 | 1 2 1 2 2 4 2 6 4 6 4 10 4 12 6 8 8 16 6 18 8 12 10 22 8 20 12 18 12 28 8 30 | +| 86 | MoebiusMat:Rev | AccRevSum | A000010 | 1 1 -1 -2 -2 -4 -2 -6 -4 -6 -4 -10 -4 -12 -6 -8 -8 -16 -6 -18 -8 -12 -10 -22 -8 -20 -12 -18 -12 -28 | +| 87 | MoebiusMat:Rev | ColMiddle | A266591 | 1 1 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 | +| 88 | MoebiusMat:Rev | BinConv | missing | 1 1 -1 -2 -5 -4 -28 -6 -69 -83 -286 -10 -1352 -12 -3508 -3442 -12869 -16 -66367 -18 -189410 -117588 | +| 89 | MoebiusMat:Rev | InvBinConv | missing | 1 -1 3 2 -5 4 0 6 -69 83 198 10 -1352 12 3328 3442 -12869 16 29241 18 -189410 117588 705180 22 | +| 90 | MoebiusMat:Rev | TransNat0 | B000010 | 0 0 -1 -2 -2 -4 -2 -6 -4 -6 -4 -10 -4 -12 -6 -8 -8 -16 -6 -18 -8 -12 -10 -22 -8 -20 -12 -18 -12 -28 | +| 91 | MoebiusMat:Rev | TransNat1 | A000010 | 1 1 -1 -2 -2 -4 -2 -6 -4 -6 -4 -10 -4 -12 -6 -8 -8 -16 -6 -18 -8 -12 -10 -22 -8 -20 -12 -18 -12 -28 | +| 92 | MoebiusMat:Rev | TransSqrs | missing | 0 0 -1 -4 -4 -16 0 -36 -16 -36 -8 -100 0 -144 -24 -48 -64 -256 0 -324 -32 -120 -80 -484 0 -400 -120 | +| 93 | MoebiusMat:Rev | PosHalf | B027375 | 1 2 2 6 12 30 54 126 240 504 990 2046 4020 8190 16254 32730 65280 131070 261576 524286 1047540 | +| 94 | MoebiusMat:Rev | NegHalf | missing | 1 -2 6 -6 12 -30 66 -126 240 -504 1050 -2046 4020 -8190 16506 -32730 65280 -131070 262584 -524286 | +| 95 | MoebiusMat:Rev | DiagRow1 | A008683 | 1 -1 -1 0 -1 1 -1 0 0 1 -1 0 -1 1 1 0 -1 0 -1 0 1 1 -1 0 0 1 0 0 -1 -1 -1 0 | +| 96 | MoebiusMat:Rev | DiagRow2 | A036988 | 1 0 -1 0 -1 0 0 0 -1 0 1 0 -1 0 0 0 0 0 1 0 -1 0 0 0 -1 0 1 0 1 0 0 0 | +| 97 | MoebiusMat:Rev | DiagRow3 | A037011 | 1 0 0 -1 0 0 -1 0 0 0 0 0 -1 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 1 0 0 -1 0 | +| 98 | MoebiusMat:Rev | DiagCol1 | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 99 | MoebiusMat:Rev | DiagCol2 | A093313 | 0 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 100 | MoebiusMat:Rev | DiagCol3 | A045840 | 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 101 | MoebiusMat:Rev | Poly | A071024 | 1 1 1 1 1 1 1 0 1 1 1 0 -1 1 1 1 0 -3 -2 1 1 1 0 -3 -8 -3 1 1 1 0 -15 -8 -15 -4 1 1 1 0 9 -80 -15 | +| 102 | MoebiusMat:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 103 | MoebiusMat:Rev | PolyRow3 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | +| 104 | MoebiusMat:Rev | PolyCol2 | missing | 1 1 -1 -3 -3 -15 9 -63 -15 -63 225 -1023 705 -4095 3969 11265 -255 -65535 28161 -262143 195585 | +| 105 | MoebiusMat:Rev | PolyCol3 | missing | 1 1 -2 -8 -8 -80 136 -728 -80 -728 12880 -59048 51760 -531440 1060696 4192480 -6560 -43046720 | +| 106 | MoebiusMat:Rev | PolyDiag | missing | 1 1 -1 -8 -15 -624 6265 -117648 -4095 -531440 899900001 -25937424600 61484396545 -23298085122480 | +| 107 | MoebiusMat:Inv | Triangle | A113704 | 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 0 1 0 | +| 108 | MoebiusMat:Inv | Rev | A117195 | 1 1 0 1 1 0 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 | +| 109 | MoebiusMat:Inv | RevInv | missing | 1 1 0 1 -1 0 1 0 -1 0 1 0 -1 0 0 1 0 0 0 -1 0 1 0 0 -1 -1 1 0 1 0 0 0 0 0 -1 0 1 0 0 0 -1 0 0 0 0 1 | +| 110 | MoebiusMat:Inv | Acc | missing | 1 0 1 0 1 2 0 1 1 2 0 1 2 2 3 0 1 1 1 1 2 0 1 2 3 3 3 4 0 1 1 1 1 1 1 2 0 1 2 2 3 3 3 3 4 0 1 1 2 2 | +| 111 | MoebiusMat:Inv | AccRev | missing | 1 1 1 1 2 2 1 1 2 2 1 1 2 3 3 1 1 1 1 2 2 1 1 1 2 3 4 4 1 1 1 1 1 1 2 2 1 1 1 1 2 2 3 4 4 1 1 1 1 1 | +| 112 | MoebiusMat:Inv | AntiDiag | missing | 1 0 0 1 0 1 0 1 1 0 1 0 0 1 1 1 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1 1 1 1 0 1 0 | +| 113 | MoebiusMat:Inv | Diffx1 | missing | 1 0 2 0 2 3 0 2 0 4 0 2 3 0 5 0 2 0 0 0 6 0 2 3 4 0 0 7 0 2 0 0 0 0 0 8 0 2 3 0 5 0 0 0 9 0 2 0 4 0 | +| 114 | MoebiusMat:Inv | RowSum | A000005 | 1 1 2 2 3 2 4 2 4 3 4 2 6 2 4 4 5 2 6 2 6 4 4 2 8 3 4 4 6 2 8 2 | +| 115 | MoebiusMat:Inv | EvenSum | A183063 | 1 0 1 0 2 0 2 0 3 0 2 0 4 0 2 0 4 0 3 0 4 0 2 0 6 0 2 0 4 0 4 0 | +| 116 | MoebiusMat:Inv | OddSum | A001227 | 0 1 1 2 1 2 2 2 1 3 2 2 2 2 2 4 1 2 3 2 2 4 2 2 2 3 2 4 2 2 4 2 | +| 117 | MoebiusMat:Inv | AltSum | A048272 | 1 -1 0 -2 1 -2 0 -2 2 -3 0 -2 2 -2 0 -4 3 -2 0 -2 2 -4 0 -2 4 -3 0 -4 2 -2 0 -2 | +| 118 | MoebiusMat:Inv | DiagSum | A239707 | 1 0 1 1 2 1 3 1 3 2 3 1 5 1 3 3 4 1 5 1 5 3 3 1 7 2 3 3 5 1 7 1 | +| 119 | MoebiusMat:Inv | AccSum | A081307 | 1 1 3 4 8 6 16 8 21 17 26 12 50 14 36 40 54 18 75 20 84 56 56 24 140 47 66 72 118 30 176 32 | +| 120 | MoebiusMat:Inv | AccRevSum | A007503 | 1 2 5 6 10 8 16 10 19 16 22 14 34 16 28 28 36 20 45 22 48 36 40 26 68 34 46 44 62 32 80 34 | +| 121 | MoebiusMat:Inv | ColMiddle | B135528 | 1 0 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | +| 122 | MoebiusMat:Inv | CentralO | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 123 | MoebiusMat:Inv | BinConv | A056045 | 1 1 3 4 11 6 42 8 107 94 308 12 1718 14 3538 3474 14827 18 68172 20 205316 117632 705686 24 3587174 | +| 124 | MoebiusMat:Inv | InvBinConv | missing | 1 1 -1 4 3 6 -10 8 91 94 -216 12 1254 14 -3354 3474 14795 18 -30736 20 174268 117632 -705222 24 | +| 125 | MoebiusMat:Inv | TransNat0 | A000203 | 0 1 3 4 7 6 12 8 15 13 18 12 28 14 24 24 31 18 39 20 42 32 36 24 60 31 42 40 56 30 72 32 | +| 126 | MoebiusMat:Inv | TransNat1 | A007503 | 1 2 5 6 10 8 16 10 19 16 22 14 34 16 28 28 36 20 45 22 48 36 40 26 68 34 46 44 62 32 80 34 | +| 127 | MoebiusMat:Inv | TransSqrs | A001157 | 0 1 5 10 21 26 50 50 85 91 130 122 210 170 250 260 341 290 455 362 546 500 610 530 850 651 850 820 | +| 128 | MoebiusMat:Inv | PosHalf | A074854 | 1 1 3 5 13 17 57 65 209 321 801 1025 3905 4097 12417 21505 53505 65537 233985 262145 885761 1327105 | +| 129 | MoebiusMat:Inv | NegHalf | missing | 1 1 -1 5 -3 17 -23 65 -47 321 -287 1025 -1215 4097 -4223 21505 -12031 65537 -94719 262145 -228351 | +| 130 | MoebiusMat:Inv | DiagRow1 | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 131 | MoebiusMat:Inv | DiagRow2 | A093313 | 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 132 | MoebiusMat:Inv | DiagRow3 | A014053 | 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 133 | MoebiusMat:Inv | DiagCol2 | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | +| 134 | MoebiusMat:Inv | DiagCol3 | A024692 | 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 | +| 135 | MoebiusMat:Inv | Poly | A062135 | 1 0 1 0 1 1 0 2 2 1 0 2 6 3 1 0 3 10 12 4 1 0 2 22 30 20 5 1 0 4 34 93 68 30 6 1 0 2 78 246 276 130 | +| 136 | MoebiusMat:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 137 | MoebiusMat:Inv | PolyRow2 | A002378 | 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | +| 138 | MoebiusMat:Inv | PolyRow3 | A034262 | 0 2 10 30 68 130 222 350 520 738 1010 1342 1740 2210 2758 3390 4112 4930 5850 6878 8020 9282 10670 | +| 139 | MoebiusMat:Inv | PolyCol2 | A055895 | 1 2 6 10 22 34 78 130 278 522 1062 2050 4190 8194 16518 32810 65814 131074 262734 524290 1049654 | +| 140 | MoebiusMat:Inv | PolyCol3 | A363913 | 1 3 12 30 93 246 768 2190 6654 19713 59304 177150 532290 1594326 4785168 14349180 43053375 | +| 141 | MoebiusMat:Inv | PolyDiag | A066108 | 1 1 6 30 276 3130 46914 823550 16781384 387421227 10000100110 285311670622 8916103456860 | +| 142 | MoebiusMat:Inv:Rev | Triangle | A117195 | 1 1 0 1 1 0 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 | +| 143 | MoebiusMat:Inv:Rev | Rev | A113704 | 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 0 1 0 | +| 144 | MoebiusMat:Inv:Rev | InvRev | A363914 | 1 0 1 0 -1 1 0 -1 0 1 0 0 -1 0 1 0 -1 0 0 0 1 0 1 -1 -1 0 0 1 0 -1 0 0 0 0 0 1 0 0 0 0 -1 0 0 0 1 0 | +| 145 | MoebiusMat:Inv:Rev | Acc | missing | 1 1 1 1 2 2 1 1 2 2 1 1 2 3 3 1 1 1 1 2 2 1 1 1 2 3 4 4 1 1 1 1 1 1 2 2 1 1 1 1 2 2 3 4 4 1 1 1 1 1 | +| 146 | MoebiusMat:Inv:Rev | AccRev | missing | 1 0 1 0 1 2 0 1 1 2 0 1 2 2 3 0 1 1 1 1 2 0 1 2 3 3 3 4 0 1 1 1 1 1 1 2 0 1 2 2 3 3 3 3 4 0 1 1 2 2 | +| 147 | MoebiusMat:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 0 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 | +| 148 | MoebiusMat:Inv:Rev | Diffx1 | missing | 1 1 0 1 2 0 1 0 3 0 1 0 3 4 0 1 0 0 0 5 0 1 0 0 4 5 6 0 1 0 0 0 0 0 7 0 1 0 0 0 5 0 7 8 0 1 0 0 0 0 | +| 149 | MoebiusMat:Inv:Rev | RowSum | A000005 | 1 1 2 2 3 2 4 2 4 3 4 2 6 2 4 4 5 2 6 2 6 4 4 2 8 3 4 4 6 2 8 2 | +| 150 | MoebiusMat:Inv:Rev | EvenSum | A320111 | 1 1 1 2 2 2 2 2 3 3 2 2 4 2 2 4 4 2 3 2 4 4 2 2 6 3 2 4 4 2 4 2 | +| 151 | MoebiusMat:Inv:Rev | OddSum | missing | 0 0 1 0 1 0 2 0 1 0 2 0 2 0 2 0 1 0 3 0 2 0 2 0 2 0 2 0 2 0 4 0 | +| 152 | MoebiusMat:Inv:Rev | AltSum | A048272 | 1 1 0 2 1 2 0 2 2 3 0 2 2 2 0 4 3 2 0 2 2 4 0 2 4 3 0 4 2 2 0 2 | +| 153 | MoebiusMat:Inv:Rev | DiagSum | A001227 | 1 1 1 2 1 2 2 2 1 3 2 2 2 2 2 4 1 2 3 2 2 4 2 2 2 3 2 4 2 2 4 2 | +| 154 | MoebiusMat:Inv:Rev | AccSum | A007503 | 1 2 5 6 10 8 16 10 19 16 22 14 34 16 28 28 36 20 45 22 48 36 40 26 68 34 46 44 62 32 80 34 | +| 155 | MoebiusMat:Inv:Rev | AccRevSum | A081307 | 1 1 3 4 8 6 16 8 21 17 26 12 50 14 36 40 54 18 75 20 84 56 56 24 140 47 66 72 118 30 176 32 | +| 156 | MoebiusMat:Inv:Rev | ColMiddle | A266591 | 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | +| 157 | MoebiusMat:Inv:Rev | BinConv | A056045 | 1 1 3 4 11 6 42 8 107 94 308 12 1718 14 3538 3474 14827 18 68172 20 205316 117632 705686 24 3587174 | +| 158 | MoebiusMat:Inv:Rev | InvBinConv | missing | 1 -1 -1 -4 3 -6 -10 -8 91 -94 -216 -12 1254 -14 -3354 -3474 14795 -18 -30736 -20 174268 -117632 | +| 159 | MoebiusMat:Inv:Rev | TransNat0 | A094471 | 0 0 1 2 5 4 12 6 17 14 22 10 44 12 32 36 49 16 69 18 78 52 52 22 132 44 62 68 112 28 168 30 | +| 160 | MoebiusMat:Inv:Rev | TransNat1 | A081307 | 1 1 3 4 8 6 16 8 21 17 26 12 50 14 36 40 54 18 75 20 84 56 56 24 140 47 66 72 118 30 176 32 | +| 161 | MoebiusMat:Inv:Rev | TransSqrs | A367326 | 0 0 1 4 13 16 50 36 101 100 170 100 402 144 362 440 629 256 995 324 1266 920 962 484 2578 976 1370 | +| 162 | MoebiusMat:Inv:Rev | PosHalf | A055895 | 1 2 6 10 22 34 78 130 278 522 1062 2050 4190 8194 16518 32810 65814 131074 262734 524290 1049654 | +| 163 | MoebiusMat:Inv:Rev | NegHalf | missing | 1 -2 2 -10 18 -34 58 -130 274 -522 994 -2050 4170 -8194 16258 -32810 65810 -131074 261690 -524290 | +| 164 | MoebiusMat:Inv:Rev | DiagRow2 | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | +| 165 | MoebiusMat:Inv:Rev | DiagRow3 | A024692 | 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 | +| 166 | MoebiusMat:Inv:Rev | DiagCol1 | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 167 | MoebiusMat:Inv:Rev | DiagCol2 | A093313 | 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 168 | MoebiusMat:Inv:Rev | DiagCol3 | A014053 | 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 169 | MoebiusMat:Inv:Rev | Poly | A046854 | 1 1 1 1 1 1 1 2 1 1 1 2 3 1 1 1 3 5 4 1 1 1 2 13 10 5 1 1 1 4 17 37 17 6 1 1 1 2 57 82 81 26 7 1 1 | +| 170 | MoebiusMat:Inv:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 171 | MoebiusMat:Inv:Rev | PolyRow3 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 172 | MoebiusMat:Inv:Rev | PolyCol2 | A074854 | 1 1 3 5 13 17 57 65 209 321 801 1025 3905 4097 12417 21505 53505 65537 233985 262145 885761 1327105 | +| 173 | MoebiusMat:Inv:Rev | PolyCol3 | A357051 | 1 1 4 10 37 82 352 730 2998 7291 26488 59050 263170 531442 2127952 5373460 19669879 43046722 | +| 174 | MoebiusMat:Inv:Rev | PolyDiag | missing | 1 1 3 10 81 626 9289 117650 2363393 43578163 1100100001 25937424602 810518482945 23298085122482 | \ No newline at end of file diff --git a/data/md/Motzkin.md b/data/md/Motzkin.md index 62046e7..5746c44 100644 --- a/data/md/Motzkin.md +++ b/data/md/Motzkin.md @@ -37,82 +37,119 @@ | 34 | Motzkin:Std | PolyCol2 | A091147 | 1 1 5 13 57 201 861 3445 14897 63313 278389 1223069 5465065 24513945 111037005 505298565 2314343265 | | 35 | Motzkin:Std | PolyCol3 | missing | 1 1 10 28 217 901 6211 31375 205507 1153603 7413364 44174494 282750535 1745836795 11205047530 | | 36 | Motzkin:Std | PolyDiag | A359649 | 1 1 5 28 609 6501 272701 4286815 272156417 5648748355 484054204501 12482361156398 1351553781736225 | -| 37 | Motzkin:Rev | Triangle | A097610 | 1 0 1 1 0 1 0 3 0 1 2 0 6 0 1 0 10 0 10 0 1 5 0 30 0 15 0 1 0 35 0 70 0 21 0 1 14 0 140 0 140 0 28 | -| 38 | Motzkin:Rev | Inv | missing | 1 0 1 -1 0 1 0 -3 0 1 4 0 -6 0 1 0 20 0 -10 0 1 -35 0 60 0 -15 0 1 0 -245 0 140 0 -21 0 1 546 0 | -| 39 | Motzkin:Rev | RevInv | missing | 1 1 0 1 0 -1 1 0 -3 0 1 0 -6 0 4 1 0 -10 0 20 0 1 0 -15 0 60 0 -35 1 0 -21 0 140 0 -245 0 1 0 -28 0 | -| 40 | Motzkin:Rev | Acc | missing | 1 0 1 1 1 2 0 3 3 4 2 2 8 8 9 0 10 10 20 20 21 5 5 35 35 50 50 51 0 35 35 105 105 126 126 127 14 14 | -| 41 | Motzkin:Rev | AccRev | missing | 1 1 1 1 1 2 1 1 4 4 1 1 7 7 9 1 1 11 11 21 21 1 1 16 16 46 46 51 1 1 22 22 92 92 127 127 1 1 29 29 | -| 42 | Motzkin:Rev | AntiDiag | missing | 1 0 1 1 0 0 2 3 1 0 0 0 5 10 6 1 0 0 0 0 14 35 30 10 1 0 0 0 0 0 42 126 140 70 15 1 0 0 0 0 0 0 132 | -| 43 | Motzkin:Rev | Diffx1 | missing | 1 0 2 1 0 3 0 6 0 4 2 0 18 0 5 0 20 0 40 0 6 5 0 90 0 75 0 7 0 70 0 280 0 126 0 8 14 0 420 0 700 0 | -| 44 | Motzkin:Rev | RowSum | A001006 | 1 1 2 4 9 21 51 127 323 835 2188 5798 15511 41835 113634 310572 853467 2356779 6536382 18199284 | -| 45 | Motzkin:Rev | EvenSum | missing | 1 0 2 0 9 0 51 0 323 0 2188 0 15511 0 113634 0 853467 0 6536382 0 50852019 0 400763223 0 3192727797 | -| 46 | Motzkin:Rev | OddSum | missing | 0 1 0 4 0 21 0 127 0 835 0 5798 0 41835 0 310572 0 2356779 0 18199284 0 142547559 0 1129760415 0 | -| 47 | Motzkin:Rev | AltSum | A001006 | 1 -1 2 -4 9 -21 51 -127 323 -835 2188 -5798 15511 -41835 113634 -310572 853467 -2356779 6536382 | -| 48 | Motzkin:Rev | DiagSum | missing | 1 0 2 0 6 0 22 0 90 0 394 0 1806 0 8558 0 41586 0 206098 0 1037718 0 5293446 0 27297738 0 142078746 | -| 49 | Motzkin:Rev | AccSum | A025179 | 1 1 4 10 29 81 231 659 1891 5443 15718 45508 132067 384047 1118820 3264642 9539787 27913083 | -| 50 | Motzkin:Rev | AccRevSum | A189912 | 1 2 4 10 25 66 177 484 1339 3742 10538 29866 85087 243478 699324 2015082 5822619 16865718 48958404 | -| 51 | Motzkin:Rev | RowLcm | missing | 1 1 1 3 6 10 30 210 140 1260 6300 4620 13860 180180 420420 6306300 5045040 4084080 36756720 | -| 52 | Motzkin:Rev | RowGcd | missing | 1 1 1 3 2 10 5 7 14 6 3 11 66 26 13 1 2 34 17 19 38 2 1 23 46 10 5 3 6 58 435 155 | -| 53 | Motzkin:Rev | RowMax | missing | 1 1 1 3 6 10 30 70 140 420 1050 2310 6930 18018 42042 126126 336336 816816 2450448 6651216 16628040 | -| 54 | Motzkin:Rev | ColMiddle | missing | 1 0 0 3 6 0 0 70 140 0 0 2310 4620 0 0 90090 180180 0 0 3879876 7759752 0 0 178474296 356948592 0 0 | -| 55 | Motzkin:Rev | CentralE | missing | 1 0 6 0 140 0 4620 0 180180 0 7759752 0 356948592 0 17210021400 0 | -| 56 | Motzkin:Rev | CentralO | missing | 0 3 0 70 0 2310 0 90090 0 3879876 0 178474296 0 8605010700 0 429772478850 | -| 57 | Motzkin:Rev | ColLeft | A126120 | 1 0 1 0 2 0 5 0 14 0 42 0 132 0 429 0 1430 0 4862 0 16796 0 58786 0 208012 0 742900 0 2674440 0 | -| 58 | Motzkin:Rev | BinConv | missing | 1 1 2 10 39 151 681 3137 14519 69463 339118 1674278 8376721 42398721 216532018 1114896954 | -| 59 | Motzkin:Rev | InvBinConv | missing | 1 1 2 10 39 151 681 3137 14519 69463 339118 1674278 8376721 42398721 216532018 1114896954 | -| 60 | Motzkin:Rev | TransNat0 | A005717 | 0 1 2 6 16 45 126 357 1016 2907 8350 24068 69576 201643 585690 1704510 4969152 14508939 42422022 | -| 61 | Motzkin:Rev | TransNat1 | A189912 | 1 2 4 10 25 66 177 484 1339 3742 10538 29866 85087 243478 699324 2015082 5822619 16865718 48958404 | -| 62 | Motzkin:Rev | TransSqrs | missing | 0 1 4 12 40 125 396 1239 3872 12051 37420 115918 358392 1106131 3408692 10489860 32241312 98984523 | -| 63 | Motzkin:Rev | PosHalf | A091147 | 1 1 5 13 57 201 861 3445 14897 63313 278389 1223069 5465065 24513945 111037005 505298565 2314343265 | -| 64 | Motzkin:Rev | NegHalf | A091147 | 1 1 5 13 57 201 861 3445 14897 63313 278389 1223069 5465065 24513945 111037005 505298565 2314343265 | -| 65 | Motzkin:Rev | DiagRow2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | -| 66 | Motzkin:Rev | DiagCol1 | B138364 | 1 0 3 0 10 0 35 0 126 0 462 0 1716 0 6435 0 24310 0 92378 0 352716 0 1352078 0 5200300 0 20058300 0 | -| 67 | Motzkin:Rev | DiagCol2 | missing | 1 0 6 0 30 0 140 0 630 0 2772 0 12012 0 51480 0 218790 0 923780 0 3879876 0 16224936 0 67603900 0 | -| 68 | Motzkin:Rev | DiagCol3 | missing | 1 0 10 0 70 0 420 0 2310 0 12012 0 60060 0 291720 0 1385670 0 6466460 0 29745716 0 135207800 0 | -| 69 | Motzkin:Rev | Poly | A247495 | 1 0 1 1 1 1 0 2 2 1 2 4 5 3 1 0 9 14 10 4 1 5 21 42 36 17 5 1 0 51 132 137 76 26 6 1 14 127 429 543 | -| 70 | Motzkin:Rev | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 71 | Motzkin:Rev | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 72 | Motzkin:Rev | PolyRow3 | B079908 | 0 4 14 36 76 140 234 364 536 756 1030 1364 1764 2236 2786 3420 4144 4964 5886 6916 8060 9324 10714 | -| 73 | Motzkin:Rev | PolyCol2 | B000108 | 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | -| 74 | Motzkin:Rev | PolyCol3 | B002212 | 1 3 10 36 137 543 2219 9285 39587 171369 751236 3328218 14878455 67030785 304036170 1387247580 | -| 75 | Motzkin:Rev | PolyDiag | A247496 | 1 1 5 36 354 4425 67181 1200745 24699662 574795035 14930563042 428235433978 13442267711940 | -| 76 | Motzkin:Rev:Inv | Triangle | missing | 1 0 1 -1 0 1 0 -3 0 1 4 0 -6 0 1 0 20 0 -10 0 1 -35 0 60 0 -15 0 1 0 -245 0 140 0 -21 0 1 546 0 | -| 77 | Motzkin:Rev:Inv | Rev | missing | 1 1 0 1 0 -1 1 0 -3 0 1 0 -6 0 4 1 0 -10 0 20 0 1 0 -15 0 60 0 -35 1 0 -21 0 140 0 -245 0 1 0 -28 0 | -| 78 | Motzkin:Rev:Inv | Inv | A097610 | 1 0 1 1 0 1 0 3 0 1 2 0 6 0 1 0 10 0 10 0 1 5 0 30 0 15 0 1 0 35 0 70 0 21 0 1 14 0 140 0 140 0 28 | -| 79 | Motzkin:Rev:Inv | RevInv | A359364 | 1 1 0 1 0 1 1 0 3 0 1 0 6 0 2 1 0 10 0 10 0 1 0 15 0 30 0 5 1 0 21 0 70 0 35 0 1 0 28 0 140 0 140 0 | -| 80 | Motzkin:Rev:Inv | Acc | missing | 1 0 1 -1 -1 0 0 -3 -3 -2 4 4 -2 -2 -1 0 20 20 10 10 11 -35 -35 25 25 10 10 11 0 -245 -245 -105 -105 | -| 81 | Motzkin:Rev:Inv | AccRev | missing | 1 1 1 1 1 0 1 1 -2 -2 1 1 -5 -5 -1 1 1 -9 -9 11 11 1 1 -14 -14 46 46 11 1 1 -20 -20 120 120 -125 | -| 82 | Motzkin:Rev:Inv | AntiDiag | missing | 1 0 -1 1 0 0 4 -3 1 0 0 0 -35 20 -6 1 0 0 0 0 546 -245 60 -10 1 0 0 0 0 0 -13482 4914 -980 140 -15 | -| 83 | Motzkin:Rev:Inv | Diffx1 | missing | 1 0 2 -1 0 3 0 -6 0 4 4 0 -18 0 5 0 40 0 -40 0 6 -35 0 180 0 -75 0 7 0 -490 0 560 0 -126 0 8 546 0 | -| 84 | Motzkin:Rev:Inv | RowSum | A308846 | 1 1 0 -2 -1 11 11 -125 -181 2443 4534 -73116 -164075 3106169 8150624 -177689590 -533231545 | -| 85 | Motzkin:Rev:Inv | EvenSum | missing | 1 0 0 0 -1 0 11 0 -181 0 4534 0 -164075 0 8150624 0 -533231545 0 44461467464 0 -4603245727023 0 | -| 86 | Motzkin:Rev:Inv | OddSum | missing | 0 1 0 -2 0 11 0 -125 0 2443 0 -73116 0 3106169 0 -177689590 0 13167063415 0 -1226832808294 0 | -| 87 | Motzkin:Rev:Inv | AltSum | A308846 | 1 -1 0 2 -1 -11 11 125 -181 -2443 4534 73116 -164075 -3106169 8150624 177689590 -533231545 | -| 88 | Motzkin:Rev:Inv | DiagSum | missing | 1 0 0 0 2 0 -20 0 352 0 -9422 0 359480 0 -18598512 0 1255664060 0 -107332663328 0 11337290575470 0 | -| 89 | Motzkin:Rev:Inv | AccSum | missing | 1 1 -2 -8 3 71 11 -1077 -629 26059 25444 -927266 -1255583 45619341 78772994 -2965292800 -6221902825 | -| 90 | Motzkin:Rev:Inv | AccRevSum | missing | 1 2 2 -2 -9 6 77 -48 -1181 814 28964 -23242 -1041467 973194 51636990 -55430230 -3376264985 | -| 91 | Motzkin:Rev:Inv | RowLcm | missing | 1 1 1 3 12 20 420 2940 76440 687960 368058600 269909640 165589564140 307523476260 | -| 92 | Motzkin:Rev:Inv | RowGcd | missing | 1 1 1 3 2 10 5 7 14 6 3 11 66 26 13 1 2 34 17 19 38 2 1 23 46 10 5 3 6 58 435 155 | -| 93 | Motzkin:Rev:Inv | RowMax | missing | 1 1 1 3 6 20 60 245 980 4914 24570 148302 889812 6316596 44216172 361627695 2893021560 26803501010 | -| 94 | Motzkin:Rev:Inv | ColMiddle | missing | 1 0 0 -3 -6 0 0 140 280 0 0 -16170 -32340 0 0 3513510 7027020 0 0 -1245440196 -2490880392 0 0 | -| 95 | Motzkin:Rev:Inv | CentralE | missing | 1 0 -6 0 280 0 -32340 0 7027020 0 -2490880392 0 1313927767152 0 -967151572615800 0 | -| 96 | Motzkin:Rev:Inv | CentralO | missing | 0 -3 0 140 0 -16170 0 3513510 0 -1245440196 0 656963883576 0 -483575786307900 0 473854671778123350 | -| 97 | Motzkin:Rev:Inv | ColLeft | missing | 1 0 -1 0 4 0 -35 0 546 0 -13482 0 485892 0 -24108513 0 1576676530 0 -131451399794 0 13609184032808 | -| 98 | Motzkin:Rev:Inv | BinConv | missing | 1 1 0 -8 -31 1 641 2745 -8077 -140525 -276956 6195564 46635535 -217304593 -4897212020 -4673293612 | -| 99 | Motzkin:Rev:Inv | InvBinConv | missing | 1 1 0 -8 -31 1 641 2745 -8077 -140525 -276956 6195564 46635535 -217304593 -4897212020 -4673293612 | -| 100 | Motzkin:Rev:Inv | TransNat0 | missing | 0 1 2 0 -8 -5 66 77 -1000 -1629 24430 49874 -877392 -2132975 43486366 122259360 -2843033440 | -| 101 | Motzkin:Rev:Inv | TransNat1 | missing | 1 2 2 -2 -9 6 77 -48 -1181 814 28964 -23242 -1041467 973194 51636990 -55430230 -3376264985 | -| 102 | Motzkin:Rev:Inv | TransSqrs | missing | 0 1 4 6 -8 -45 36 539 -384 -10629 8140 318604 -278904 -13539071 13624716 774554850 -886883680 | -| 103 | Motzkin:Rev:Inv | PosHalf | missing | 1 1 -3 -11 41 281 -1339 -13523 81425 1077745 -7972787 -129812187 1146196921 22100478089 | -| 104 | Motzkin:Rev:Inv | NegHalf | missing | 1 1 -3 -11 41 281 -1339 -13523 81425 1077745 -7972787 -129812187 1146196921 22100478089 | -| 105 | Motzkin:Rev:Inv | DiagRow2 | A025731 | -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 -276 | -| 106 | Motzkin:Rev:Inv | DiagCol1 | missing | 1 0 -3 0 20 0 -245 0 4914 0 -148302 0 6316596 0 -361627695 0 26803501010 0 -2497576596086 0 | -| 107 | Motzkin:Rev:Inv | DiagCol2 | missing | 1 0 -6 0 60 0 -980 0 24570 0 -889812 0 44216172 0 -2893021560 0 241231509090 0 -24975765960860 0 | -| 108 | Motzkin:Rev:Inv | DiagCol3 | missing | 1 0 -10 0 140 0 -2940 0 90090 0 -3855852 0 221080860 0 -16393788840 0 1527799557570 0 | -| 109 | Motzkin:Rev:Inv | Poly | missing | 1 0 1 -1 1 1 0 0 2 1 4 -2 3 3 1 0 -1 2 8 4 1 -35 11 -4 18 15 5 1 0 11 -8 31 52 24 6 1 546 -125 29 | -| 110 | Motzkin:Rev:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 111 | Motzkin:Rev:Inv | PolyRow2 | A131386 | -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | -| 112 | Motzkin:Rev:Inv | PolyRow3 | A121670 | 0 -2 2 18 52 110 198 322 488 702 970 1298 1692 2158 2702 3330 4048 4862 5778 6802 7940 9198 10582 | -| 113 | Motzkin:Rev:Inv | PolyCol2 | missing | 1 2 3 2 -4 -8 29 86 -430 -1660 10462 49524 -375404 -2102072 18602159 120219586 -1216092718 | -| 114 | Motzkin:Rev:Inv | PolyCol3 | missing | 1 3 8 18 31 33 19 129 555 -1215 -11538 39636 418581 -1682613 -20740776 96338214 1356035527 | -| 115 | Motzkin:Rev:Inv | PolyDiag | missing | 1 1 3 18 164 1975 29341 516901 10521890 242895267 6268943518 178861697124 5589828116676 | \ No newline at end of file +| 37 | Motzkin:Alt | Triangle | A359364 | 1 1 0 1 0 1 1 0 3 0 1 0 6 0 2 1 0 10 0 10 0 1 0 15 0 30 0 5 1 0 21 0 70 0 35 0 1 0 28 0 140 0 140 0 | +| 38 | Motzkin:Alt | Rev | A097610 | 1 0 1 1 0 1 0 3 0 1 2 0 6 0 1 0 10 0 10 0 1 5 0 30 0 15 0 1 0 35 0 70 0 21 0 1 14 0 140 0 140 0 28 | +| 39 | Motzkin:Alt | InvRev | missing | 1 0 1 -1 0 1 0 -3 0 1 4 0 -6 0 1 0 20 0 -10 0 1 -35 0 60 0 -15 0 1 0 -245 0 140 0 -21 0 1 546 0 | +| 40 | Motzkin:Alt | Acc | missing | 1 1 1 1 1 2 1 1 4 4 1 1 7 7 9 1 1 11 11 21 21 1 1 16 16 46 46 51 1 1 22 22 92 92 127 127 1 1 29 29 | +| 41 | Motzkin:Alt | AccRev | missing | 1 0 1 1 1 2 0 3 3 4 2 2 8 8 9 0 10 10 20 20 21 5 5 35 35 50 50 51 0 35 35 105 105 126 126 127 14 14 | +| 42 | Motzkin:Alt | AntiDiag | missing | 1 1 1 0 1 0 1 0 1 1 0 3 1 0 6 0 1 0 10 0 1 0 15 0 2 1 0 21 0 10 1 0 28 0 30 0 1 0 36 0 70 0 1 0 45 | +| 43 | Motzkin:Alt | Diffx1 | missing | 1 1 0 1 0 3 1 0 9 0 1 0 18 0 10 1 0 30 0 50 0 1 0 45 0 150 0 35 1 0 63 0 350 0 245 0 1 0 84 0 700 0 | +| 44 | Motzkin:Alt | RowSum | A001006 | 1 1 2 4 9 21 51 127 323 835 2188 5798 15511 41835 113634 310572 853467 2356779 6536382 18199284 | +| 45 | Motzkin:Alt | EvenSum | A001006 | 1 1 2 4 9 21 51 127 323 835 2188 5798 15511 41835 113634 310572 853467 2356779 6536382 18199284 | +| 46 | Motzkin:Alt | AltSum | A001006 | 1 1 2 4 9 21 51 127 323 835 2188 5798 15511 41835 113634 310572 853467 2356779 6536382 18199284 | +| 47 | Motzkin:Alt | DiagSum | A023426 | 1 1 1 1 2 4 7 11 18 32 59 107 191 343 627 1159 2146 3972 7373 13757 25781 48437 91165 171945 325096 | +| 48 | Motzkin:Alt | AccSum | A189912 | 1 2 4 10 25 66 177 484 1339 3742 10538 29866 85087 243478 699324 2015082 5822619 16865718 48958404 | +| 49 | Motzkin:Alt | AccRevSum | A025179 | 1 1 4 10 29 81 231 659 1891 5443 15718 45508 132067 384047 1118820 3264642 9539787 27913083 | +| 50 | Motzkin:Alt | RowLcm | missing | 1 1 1 3 6 10 30 210 140 1260 6300 4620 13860 180180 420420 6306300 5045040 4084080 36756720 | +| 51 | Motzkin:Alt | RowGcd | missing | 1 1 1 3 2 10 5 7 14 6 3 11 66 26 13 1 2 34 17 19 38 2 1 23 46 10 5 3 6 58 435 155 | +| 52 | Motzkin:Alt | RowMax | missing | 1 1 1 3 6 10 30 70 140 420 1050 2310 6930 18018 42042 126126 336336 816816 2450448 6651216 16628040 | +| 53 | Motzkin:Alt | ColMiddle | missing | 1 1 0 0 6 10 0 0 140 252 0 0 4620 8580 0 0 180180 340340 0 0 7759752 14814072 0 0 356948592 | +| 54 | Motzkin:Alt | CentralE | missing | 1 0 6 0 140 0 4620 0 180180 0 7759752 0 356948592 0 17210021400 0 | +| 55 | Motzkin:Alt | CentralO | missing | 1 0 10 0 252 0 8580 0 340340 0 14814072 0 686439600 0 33272708040 0 | +| 56 | Motzkin:Alt | ColRight | A126120 | 1 0 1 0 2 0 5 0 14 0 42 0 132 0 429 0 1430 0 4862 0 16796 0 58786 0 208012 0 742900 0 2674440 0 | +| 57 | Motzkin:Alt | BinConv | missing | 1 1 2 10 39 151 681 3137 14519 69463 339118 1674278 8376721 42398721 216532018 1114896954 | +| 58 | Motzkin:Alt | InvBinConv | missing | 1 -1 2 -10 39 -151 681 -3137 14519 -69463 339118 -1674278 8376721 -42398721 216532018 -1114896954 | +| 59 | Motzkin:Alt | TransNat0 | missing | 0 0 2 6 20 60 180 532 1568 4608 13530 39710 116556 342212 1005186 2954070 8686320 25556304 75232854 | +| 60 | Motzkin:Alt | TransNat1 | A025179 | 1 1 4 10 29 81 231 659 1891 5443 15718 45508 132067 384047 1118820 3264642 9539787 27913083 | +| 61 | Motzkin:Alt | TransSqrs | missing | 0 0 4 12 56 200 720 2464 8288 27360 89220 287980 922152 2933528 9281636 29233260 91716000 286789728 | +| 62 | Motzkin:Alt | PosHalf | B000108 | 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | +| 63 | Motzkin:Alt | NegHalf | B000108 | 1 -2 5 -14 42 -132 429 -1430 4862 -16796 58786 -208012 742900 -2674440 9694845 -35357670 129644790 | +| 64 | Motzkin:Alt | DiagRow1 | B138364 | 1 0 3 0 10 0 35 0 126 0 462 0 1716 0 6435 0 24310 0 92378 0 352716 0 1352078 0 5200300 0 20058300 0 | +| 65 | Motzkin:Alt | DiagRow2 | missing | 1 0 6 0 30 0 140 0 630 0 2772 0 12012 0 51480 0 218790 0 923780 0 3879876 0 16224936 0 67603900 0 | +| 66 | Motzkin:Alt | DiagRow3 | missing | 1 0 10 0 70 0 420 0 2310 0 12012 0 60060 0 291720 0 1385670 0 6466460 0 29745716 0 135207800 0 | +| 67 | Motzkin:Alt | DiagCol2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 68 | Motzkin:Alt | Poly | missing | 1 1 1 1 1 1 1 2 1 1 1 4 5 1 1 1 9 13 10 1 1 1 21 57 28 17 1 1 1 51 201 217 49 26 1 1 1 127 861 901 | +| 69 | Motzkin:Alt | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 70 | Motzkin:Alt | PolyRow3 | A056107 | 1 4 13 28 49 76 109 148 193 244 301 364 433 508 589 676 769 868 973 1084 1201 1324 1453 1588 1729 | +| 71 | Motzkin:Alt | PolyCol2 | A091147 | 1 1 5 13 57 201 861 3445 14897 63313 278389 1223069 5465065 24513945 111037005 505298565 2314343265 | +| 72 | Motzkin:Alt | PolyCol3 | missing | 1 1 10 28 217 901 6211 31375 205507 1153603 7413364 44174494 282750535 1745836795 11205047530 | +| 73 | Motzkin:Alt | PolyDiag | A359649 | 1 1 5 28 609 6501 272701 4286815 272156417 5648748355 484054204501 12482361156398 1351553781736225 | +| 74 | Motzkin:Rev | Triangle | A097610 | 1 0 1 1 0 1 0 3 0 1 2 0 6 0 1 0 10 0 10 0 1 5 0 30 0 15 0 1 0 35 0 70 0 21 0 1 14 0 140 0 140 0 28 | +| 75 | Motzkin:Rev | Inv | missing | 1 0 1 -1 0 1 0 -3 0 1 4 0 -6 0 1 0 20 0 -10 0 1 -35 0 60 0 -15 0 1 0 -245 0 140 0 -21 0 1 546 0 | +| 76 | Motzkin:Rev | RevInv | missing | 1 1 0 1 0 -1 1 0 -3 0 1 0 -6 0 4 1 0 -10 0 20 0 1 0 -15 0 60 0 -35 1 0 -21 0 140 0 -245 0 1 0 -28 0 | +| 77 | Motzkin:Rev | Acc | missing | 1 0 1 1 1 2 0 3 3 4 2 2 8 8 9 0 10 10 20 20 21 5 5 35 35 50 50 51 0 35 35 105 105 126 126 127 14 14 | +| 78 | Motzkin:Rev | AccRev | missing | 1 1 1 1 1 2 1 1 4 4 1 1 7 7 9 1 1 11 11 21 21 1 1 16 16 46 46 51 1 1 22 22 92 92 127 127 1 1 29 29 | +| 79 | Motzkin:Rev | AntiDiag | missing | 1 0 1 1 0 0 2 3 1 0 0 0 5 10 6 1 0 0 0 0 14 35 30 10 1 0 0 0 0 0 42 126 140 70 15 1 0 0 0 0 0 0 132 | +| 80 | Motzkin:Rev | Diffx1 | missing | 1 0 2 1 0 3 0 6 0 4 2 0 18 0 5 0 20 0 40 0 6 5 0 90 0 75 0 7 0 70 0 280 0 126 0 8 14 0 420 0 700 0 | +| 81 | Motzkin:Rev | RowSum | A001006 | 1 1 2 4 9 21 51 127 323 835 2188 5798 15511 41835 113634 310572 853467 2356779 6536382 18199284 | +| 82 | Motzkin:Rev | EvenSum | missing | 1 0 2 0 9 0 51 0 323 0 2188 0 15511 0 113634 0 853467 0 6536382 0 50852019 0 400763223 0 3192727797 | +| 83 | Motzkin:Rev | OddSum | missing | 0 1 0 4 0 21 0 127 0 835 0 5798 0 41835 0 310572 0 2356779 0 18199284 0 142547559 0 1129760415 0 | +| 84 | Motzkin:Rev | AltSum | A001006 | 1 -1 2 -4 9 -21 51 -127 323 -835 2188 -5798 15511 -41835 113634 -310572 853467 -2356779 6536382 | +| 85 | Motzkin:Rev | DiagSum | missing | 1 0 2 0 6 0 22 0 90 0 394 0 1806 0 8558 0 41586 0 206098 0 1037718 0 5293446 0 27297738 0 142078746 | +| 86 | Motzkin:Rev | AccSum | A025179 | 1 1 4 10 29 81 231 659 1891 5443 15718 45508 132067 384047 1118820 3264642 9539787 27913083 | +| 87 | Motzkin:Rev | AccRevSum | A189912 | 1 2 4 10 25 66 177 484 1339 3742 10538 29866 85087 243478 699324 2015082 5822619 16865718 48958404 | +| 88 | Motzkin:Rev | RowLcm | missing | 1 1 1 3 6 10 30 210 140 1260 6300 4620 13860 180180 420420 6306300 5045040 4084080 36756720 | +| 89 | Motzkin:Rev | RowGcd | missing | 1 1 1 3 2 10 5 7 14 6 3 11 66 26 13 1 2 34 17 19 38 2 1 23 46 10 5 3 6 58 435 155 | +| 90 | Motzkin:Rev | RowMax | missing | 1 1 1 3 6 10 30 70 140 420 1050 2310 6930 18018 42042 126126 336336 816816 2450448 6651216 16628040 | +| 91 | Motzkin:Rev | ColMiddle | missing | 1 0 0 3 6 0 0 70 140 0 0 2310 4620 0 0 90090 180180 0 0 3879876 7759752 0 0 178474296 356948592 0 0 | +| 92 | Motzkin:Rev | CentralE | missing | 1 0 6 0 140 0 4620 0 180180 0 7759752 0 356948592 0 17210021400 0 | +| 93 | Motzkin:Rev | CentralO | missing | 0 3 0 70 0 2310 0 90090 0 3879876 0 178474296 0 8605010700 0 429772478850 | +| 94 | Motzkin:Rev | ColLeft | A126120 | 1 0 1 0 2 0 5 0 14 0 42 0 132 0 429 0 1430 0 4862 0 16796 0 58786 0 208012 0 742900 0 2674440 0 | +| 95 | Motzkin:Rev | BinConv | missing | 1 1 2 10 39 151 681 3137 14519 69463 339118 1674278 8376721 42398721 216532018 1114896954 | +| 96 | Motzkin:Rev | InvBinConv | missing | 1 1 2 10 39 151 681 3137 14519 69463 339118 1674278 8376721 42398721 216532018 1114896954 | +| 97 | Motzkin:Rev | TransNat0 | A005717 | 0 1 2 6 16 45 126 357 1016 2907 8350 24068 69576 201643 585690 1704510 4969152 14508939 42422022 | +| 98 | Motzkin:Rev | TransNat1 | A189912 | 1 2 4 10 25 66 177 484 1339 3742 10538 29866 85087 243478 699324 2015082 5822619 16865718 48958404 | +| 99 | Motzkin:Rev | TransSqrs | missing | 0 1 4 12 40 125 396 1239 3872 12051 37420 115918 358392 1106131 3408692 10489860 32241312 98984523 | +| 100 | Motzkin:Rev | PosHalf | A091147 | 1 1 5 13 57 201 861 3445 14897 63313 278389 1223069 5465065 24513945 111037005 505298565 2314343265 | +| 101 | Motzkin:Rev | NegHalf | A091147 | 1 1 5 13 57 201 861 3445 14897 63313 278389 1223069 5465065 24513945 111037005 505298565 2314343265 | +| 102 | Motzkin:Rev | DiagRow2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 103 | Motzkin:Rev | DiagCol1 | B138364 | 1 0 3 0 10 0 35 0 126 0 462 0 1716 0 6435 0 24310 0 92378 0 352716 0 1352078 0 5200300 0 20058300 0 | +| 104 | Motzkin:Rev | DiagCol2 | missing | 1 0 6 0 30 0 140 0 630 0 2772 0 12012 0 51480 0 218790 0 923780 0 3879876 0 16224936 0 67603900 0 | +| 105 | Motzkin:Rev | DiagCol3 | missing | 1 0 10 0 70 0 420 0 2310 0 12012 0 60060 0 291720 0 1385670 0 6466460 0 29745716 0 135207800 0 | +| 106 | Motzkin:Rev | Poly | A247495 | 1 0 1 1 1 1 0 2 2 1 2 4 5 3 1 0 9 14 10 4 1 5 21 42 36 17 5 1 0 51 132 137 76 26 6 1 14 127 429 543 | +| 107 | Motzkin:Rev | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 108 | Motzkin:Rev | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 109 | Motzkin:Rev | PolyRow3 | B079908 | 0 4 14 36 76 140 234 364 536 756 1030 1364 1764 2236 2786 3420 4144 4964 5886 6916 8060 9324 10714 | +| 110 | Motzkin:Rev | PolyCol2 | B000108 | 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | +| 111 | Motzkin:Rev | PolyCol3 | B002212 | 1 3 10 36 137 543 2219 9285 39587 171369 751236 3328218 14878455 67030785 304036170 1387247580 | +| 112 | Motzkin:Rev | PolyDiag | A247496 | 1 1 5 36 354 4425 67181 1200745 24699662 574795035 14930563042 428235433978 13442267711940 | +| 113 | Motzkin:Rev:Inv | Triangle | missing | 1 0 1 -1 0 1 0 -3 0 1 4 0 -6 0 1 0 20 0 -10 0 1 -35 0 60 0 -15 0 1 0 -245 0 140 0 -21 0 1 546 0 | +| 114 | Motzkin:Rev:Inv | Rev | missing | 1 1 0 1 0 -1 1 0 -3 0 1 0 -6 0 4 1 0 -10 0 20 0 1 0 -15 0 60 0 -35 1 0 -21 0 140 0 -245 0 1 0 -28 0 | +| 115 | Motzkin:Rev:Inv | Inv | A097610 | 1 0 1 1 0 1 0 3 0 1 2 0 6 0 1 0 10 0 10 0 1 5 0 30 0 15 0 1 0 35 0 70 0 21 0 1 14 0 140 0 140 0 28 | +| 116 | Motzkin:Rev:Inv | RevInv | A359364 | 1 1 0 1 0 1 1 0 3 0 1 0 6 0 2 1 0 10 0 10 0 1 0 15 0 30 0 5 1 0 21 0 70 0 35 0 1 0 28 0 140 0 140 0 | +| 117 | Motzkin:Rev:Inv | Acc | missing | 1 0 1 -1 -1 0 0 -3 -3 -2 4 4 -2 -2 -1 0 20 20 10 10 11 -35 -35 25 25 10 10 11 0 -245 -245 -105 -105 | +| 118 | Motzkin:Rev:Inv | AccRev | missing | 1 1 1 1 1 0 1 1 -2 -2 1 1 -5 -5 -1 1 1 -9 -9 11 11 1 1 -14 -14 46 46 11 1 1 -20 -20 120 120 -125 | +| 119 | Motzkin:Rev:Inv | AntiDiag | missing | 1 0 -1 1 0 0 4 -3 1 0 0 0 -35 20 -6 1 0 0 0 0 546 -245 60 -10 1 0 0 0 0 0 -13482 4914 -980 140 -15 | +| 120 | Motzkin:Rev:Inv | Diffx1 | missing | 1 0 2 -1 0 3 0 -6 0 4 4 0 -18 0 5 0 40 0 -40 0 6 -35 0 180 0 -75 0 7 0 -490 0 560 0 -126 0 8 546 0 | +| 121 | Motzkin:Rev:Inv | RowSum | A308846 | 1 1 0 -2 -1 11 11 -125 -181 2443 4534 -73116 -164075 3106169 8150624 -177689590 -533231545 | +| 122 | Motzkin:Rev:Inv | EvenSum | missing | 1 0 0 0 -1 0 11 0 -181 0 4534 0 -164075 0 8150624 0 -533231545 0 44461467464 0 -4603245727023 0 | +| 123 | Motzkin:Rev:Inv | OddSum | missing | 0 1 0 -2 0 11 0 -125 0 2443 0 -73116 0 3106169 0 -177689590 0 13167063415 0 -1226832808294 0 | +| 124 | Motzkin:Rev:Inv | AltSum | A308846 | 1 -1 0 2 -1 -11 11 125 -181 -2443 4534 73116 -164075 -3106169 8150624 177689590 -533231545 | +| 125 | Motzkin:Rev:Inv | DiagSum | missing | 1 0 0 0 2 0 -20 0 352 0 -9422 0 359480 0 -18598512 0 1255664060 0 -107332663328 0 11337290575470 0 | +| 126 | Motzkin:Rev:Inv | AccSum | missing | 1 1 -2 -8 3 71 11 -1077 -629 26059 25444 -927266 -1255583 45619341 78772994 -2965292800 -6221902825 | +| 127 | Motzkin:Rev:Inv | AccRevSum | missing | 1 2 2 -2 -9 6 77 -48 -1181 814 28964 -23242 -1041467 973194 51636990 -55430230 -3376264985 | +| 128 | Motzkin:Rev:Inv | RowLcm | missing | 1 1 1 3 12 20 420 2940 76440 687960 368058600 269909640 165589564140 307523476260 | +| 129 | Motzkin:Rev:Inv | RowGcd | missing | 1 1 1 3 2 10 5 7 14 6 3 11 66 26 13 1 2 34 17 19 38 2 1 23 46 10 5 3 6 58 435 155 | +| 130 | Motzkin:Rev:Inv | RowMax | missing | 1 1 1 3 6 20 60 245 980 4914 24570 148302 889812 6316596 44216172 361627695 2893021560 26803501010 | +| 131 | Motzkin:Rev:Inv | ColMiddle | missing | 1 0 0 -3 -6 0 0 140 280 0 0 -16170 -32340 0 0 3513510 7027020 0 0 -1245440196 -2490880392 0 0 | +| 132 | Motzkin:Rev:Inv | CentralE | missing | 1 0 -6 0 280 0 -32340 0 7027020 0 -2490880392 0 1313927767152 0 -967151572615800 0 | +| 133 | Motzkin:Rev:Inv | CentralO | missing | 0 -3 0 140 0 -16170 0 3513510 0 -1245440196 0 656963883576 0 -483575786307900 0 473854671778123350 | +| 134 | Motzkin:Rev:Inv | ColLeft | missing | 1 0 -1 0 4 0 -35 0 546 0 -13482 0 485892 0 -24108513 0 1576676530 0 -131451399794 0 13609184032808 | +| 135 | Motzkin:Rev:Inv | BinConv | missing | 1 1 0 -8 -31 1 641 2745 -8077 -140525 -276956 6195564 46635535 -217304593 -4897212020 -4673293612 | +| 136 | Motzkin:Rev:Inv | InvBinConv | missing | 1 1 0 -8 -31 1 641 2745 -8077 -140525 -276956 6195564 46635535 -217304593 -4897212020 -4673293612 | +| 137 | Motzkin:Rev:Inv | TransNat0 | missing | 0 1 2 0 -8 -5 66 77 -1000 -1629 24430 49874 -877392 -2132975 43486366 122259360 -2843033440 | +| 138 | Motzkin:Rev:Inv | TransNat1 | missing | 1 2 2 -2 -9 6 77 -48 -1181 814 28964 -23242 -1041467 973194 51636990 -55430230 -3376264985 | +| 139 | Motzkin:Rev:Inv | TransSqrs | missing | 0 1 4 6 -8 -45 36 539 -384 -10629 8140 318604 -278904 -13539071 13624716 774554850 -886883680 | +| 140 | Motzkin:Rev:Inv | PosHalf | missing | 1 1 -3 -11 41 281 -1339 -13523 81425 1077745 -7972787 -129812187 1146196921 22100478089 | +| 141 | Motzkin:Rev:Inv | NegHalf | missing | 1 1 -3 -11 41 281 -1339 -13523 81425 1077745 -7972787 -129812187 1146196921 22100478089 | +| 142 | Motzkin:Rev:Inv | DiagRow2 | A025731 | -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 -276 | +| 143 | Motzkin:Rev:Inv | DiagCol1 | missing | 1 0 -3 0 20 0 -245 0 4914 0 -148302 0 6316596 0 -361627695 0 26803501010 0 -2497576596086 0 | +| 144 | Motzkin:Rev:Inv | DiagCol2 | missing | 1 0 -6 0 60 0 -980 0 24570 0 -889812 0 44216172 0 -2893021560 0 241231509090 0 -24975765960860 0 | +| 145 | Motzkin:Rev:Inv | DiagCol3 | missing | 1 0 -10 0 140 0 -2940 0 90090 0 -3855852 0 221080860 0 -16393788840 0 1527799557570 0 | +| 146 | Motzkin:Rev:Inv | Poly | missing | 1 0 1 -1 1 1 0 0 2 1 4 -2 3 3 1 0 -1 2 8 4 1 -35 11 -4 18 15 5 1 0 11 -8 31 52 24 6 1 546 -125 29 | +| 147 | Motzkin:Rev:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 148 | Motzkin:Rev:Inv | PolyRow2 | A131386 | -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 149 | Motzkin:Rev:Inv | PolyRow3 | A121670 | 0 -2 2 18 52 110 198 322 488 702 970 1298 1692 2158 2702 3330 4048 4862 5778 6802 7940 9198 10582 | +| 150 | Motzkin:Rev:Inv | PolyCol2 | missing | 1 2 3 2 -4 -8 29 86 -430 -1660 10462 49524 -375404 -2102072 18602159 120219586 -1216092718 | +| 151 | Motzkin:Rev:Inv | PolyCol3 | missing | 1 3 8 18 31 33 19 129 555 -1215 -11538 39636 418581 -1682613 -20740776 96338214 1356035527 | +| 152 | Motzkin:Rev:Inv | PolyDiag | missing | 1 1 3 18 164 1975 29341 516901 10521890 242895267 6268943518 178861697124 5589828116676 | \ No newline at end of file diff --git a/data/md/MotzkinGF.md b/data/md/MotzkinGF.md index c78c4c6..a5c7b48 100644 --- a/data/md/MotzkinGF.md +++ b/data/md/MotzkinGF.md @@ -42,124 +42,164 @@ | 39 | MotzkinGF:Std | PolyCol2 | A059738 | 1 3 10 34 117 405 1407 4899 17083 59629 208284 727900 2544751 8898873 31125138 108881166 380928795 | | 40 | MotzkinGF:Std | PolyCol3 | A344506 | 1 4 17 73 315 1362 5895 25528 110579 479068 2075683 8993897 38971621 168871854 731764089 3170939841 | | 41 | MotzkinGF:Std | PolyDiag | missing | 1 2 10 73 713 8796 131727 2325324 47317699 1090925062 28110267788 800653100281 24980114328391 | -| 42 | MotzkinGF:Rev | Triangle | A026300 | 1 1 1 1 2 2 1 3 5 4 1 4 9 12 9 1 5 14 25 30 21 1 6 20 44 69 76 51 1 7 27 70 133 189 196 127 1 8 35 | -| 43 | MotzkinGF:Rev | InvRev | A101950 | 1 -1 1 0 -2 1 1 1 -3 1 -1 2 3 -4 1 0 -4 2 6 -5 1 1 2 -9 0 10 -6 1 -1 3 9 -15 -5 15 -7 1 0 -6 3 24 | -| 44 | MotzkinGF:Rev | Acc | missing | 1 1 2 1 3 5 1 4 9 13 1 5 14 26 35 1 6 20 45 75 96 1 7 27 71 140 216 267 1 8 35 105 238 427 623 750 | -| 45 | MotzkinGF:Rev | AccRev | missing | 1 1 2 2 4 5 4 9 12 13 9 21 30 34 35 21 51 76 90 95 96 51 127 196 240 260 266 267 127 323 512 645 | -| 46 | MotzkinGF:Rev | AntiDiag | A008315 | 1 1 1 1 1 2 1 3 2 1 4 5 1 5 9 4 1 6 14 12 1 7 20 25 9 1 8 27 44 30 1 9 35 70 69 21 1 10 44 104 133 | -| 47 | MotzkinGF:Rev | Diffx1 | missing | 1 1 2 1 4 6 1 6 15 16 1 8 27 48 45 1 10 42 100 150 126 1 12 60 176 345 456 357 1 14 81 280 665 1134 | -| 48 | MotzkinGF:Rev | RowSum | B005773 | 1 2 5 13 35 96 267 750 2123 6046 17303 49721 143365 414584 1201917 3492117 10165779 29643870 | -| 49 | MotzkinGF:Rev | EvenSum | missing | 1 1 3 6 19 45 141 357 1107 2907 8953 24068 73789 201643 616227 1704510 5196627 14508939 44152809 | -| 50 | MotzkinGF:Rev | OddSum | missing | 0 1 2 7 16 51 126 393 1016 3139 8350 25653 69576 212941 585690 1787607 4969152 15134931 42422022 | -| 51 | MotzkinGF:Rev | AltSum | A005043 | 1 0 1 -1 3 -6 15 -36 91 -232 603 -1585 4213 -11298 30537 -83097 227475 -625992 1730787 -4805595 | -| 52 | MotzkinGF:Rev | DiagSum | A191519 | 1 1 2 3 6 10 19 33 62 110 205 368 683 1235 2286 4153 7674 13986 25813 47150 86949 159077 293176 | -| 53 | MotzkinGF:Rev | AccSum | A000244 | 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721 129140163 | -| 54 | MotzkinGF:Rev | AccRevSum | A026943 | 1 3 11 38 129 429 1407 4563 14669 46823 148587 469226 1475669 4624437 14447703 45017082 139937301 | -| 55 | MotzkinGF:Rev | RowLcm | missing | 1 1 2 60 36 1050 4903140 63847980 448240898560 10968190265340 203258629623949200 | -| 56 | MotzkinGF:Rev | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 57 | MotzkinGF:Rev | RowMax | A026938 | 1 1 2 5 12 30 76 196 518 1422 3915 10813 29964 83304 232323 649845 1822824 5147328 14727168 | -| 58 | MotzkinGF:Rev | ColMiddle | A026307 | 1 1 2 3 9 14 44 70 230 369 1242 2002 6853 11076 38376 62127 217242 352070 1239980 2010998 7123765 | -| 59 | MotzkinGF:Rev | CentralE | A026302 | 1 2 9 44 230 1242 6853 38376 217242 1239980 7123765 41141916 238637282 1389206210 8112107475 | -| 60 | MotzkinGF:Rev | CentralO | B327871 | 1 3 14 70 369 2002 11076 62127 352070 2010998 11559030 66780155 387444085 2255875650 13174629240 | -| 61 | MotzkinGF:Rev | ColRight | A001006 | 1 1 2 4 9 21 51 127 323 835 2188 5798 15511 41835 113634 310572 853467 2356779 6536382 18199284 | -| 62 | MotzkinGF:Rev | BinConv | A344502 | 1 2 7 29 128 587 2759 13190 63844 311948 1535488 7602971 37829455 188989166 947399951 4763280965 | -| 63 | MotzkinGF:Rev | InvBinConv | A344503 | 1 0 -1 -3 0 5 15 0 -28 -84 0 165 495 0 -1001 -3003 0 6188 18564 0 -38760 -116280 0 245157 735471 0 | -| 64 | MotzkinGF:Rev | TransNat0 | missing | 0 1 6 25 94 333 1140 3813 12546 40777 131284 419505 1332304 4209853 13245786 41524965 129771522 | -| 65 | MotzkinGF:Rev | TransNat1 | A026943 | 1 3 11 38 129 429 1407 4563 14669 46823 148587 469226 1475669 4624437 14447703 45017082 139937301 | -| 66 | MotzkinGF:Rev | TransSqrs | missing | 0 1 10 59 292 1291 5322 20877 78972 290507 1045378 3695281 12871616 44285341 150775186 508719555 | -| 67 | MotzkinGF:Rev | PosHalf | A059738 | 1 3 10 34 117 405 1407 4899 17083 59629 208284 727900 2544751 8898873 31125138 108881166 380928795 | -| 68 | MotzkinGF:Rev | NegHalf | A344507 | 1 -1 2 -2 5 -3 15 3 59 73 308 632 1951 4829 13674 36306 100827 275493 765150 2120466 5918943 | -| 69 | MotzkinGF:Rev | DiagRow1 | B002026 | 1 2 5 12 30 76 196 512 1353 3610 9713 26324 71799 196938 542895 1503312 4179603 11662902 32652735 | -| 70 | MotzkinGF:Rev | DiagRow2 | A005322 | 1 3 9 25 69 189 518 1422 3915 10813 29964 83304 232323 649845 1822824 5126520 14453451 40843521 | -| 71 | MotzkinGF:Rev | DiagRow3 | A005323 | 1 4 14 44 133 392 1140 3288 9438 27016 77220 220584 630084 1800384 5147328 14727168 42171849 | -| 72 | MotzkinGF:Rev | DiagCol1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 73 | MotzkinGF:Rev | DiagCol2 | B000096 | 2 5 9 14 20 27 35 44 54 65 77 90 104 119 135 152 170 189 209 230 252 275 299 324 350 377 405 434 | -| 74 | MotzkinGF:Rev | DiagCol3 | B000297 | 4 12 25 44 70 104 147 200 264 340 429 532 650 784 935 1104 1292 1500 1729 1980 2254 2552 2875 3224 | -| 75 | MotzkinGF:Rev | Poly | missing | 1 1 1 1 2 1 1 5 3 1 1 13 13 4 1 1 35 59 25 5 1 1 96 285 163 41 6 1 1 267 1419 1147 349 61 7 1 1 750 | -| 76 | MotzkinGF:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 77 | MotzkinGF:Rev | PolyRow2 | A001844 | 1 5 13 25 41 61 85 113 145 181 221 265 313 365 421 481 545 613 685 761 841 925 1013 1105 1201 1301 | -| 78 | MotzkinGF:Rev | PolyRow3 | missing | 1 13 59 163 349 641 1063 1639 2393 3349 4531 5963 7669 9673 11999 14671 17713 21149 25003 29299 | -| 79 | MotzkinGF:Rev | PolyCol2 | A330799 | 1 3 13 59 285 1419 7245 37659 198589 1059371 5705517 30976571 169338781 931239243 5147825421 | -| 80 | MotzkinGF:Rev | PolyCol3 | missing | 1 4 25 163 1147 8350 62623 479488 3733603 29464012 235114411 1893694435 15374142901 125675225554 | -| 81 | MotzkinGF:Rev | PolyDiag | missing | 1 2 13 163 3233 87876 3070117 131170404 6642415873 389190947878 25916745005501 1933826196058571 | -| 82 | MotzkinGF:Inv | Triangle | A101950 | 1 -1 1 0 -2 1 1 1 -3 1 -1 2 3 -4 1 0 -4 2 6 -5 1 1 2 -9 0 10 -6 1 -1 3 9 -15 -5 15 -7 1 0 -6 3 24 | -| 83 | MotzkinGF:Inv | Rev | missing | 1 1 -1 1 -2 0 1 -3 1 1 1 -4 3 2 -1 1 -5 6 2 -4 0 1 -6 10 0 -9 2 1 1 -7 15 -5 -15 9 3 -1 1 -8 21 -14 | -| 84 | MotzkinGF:Inv | RevInv | A026300 | 1 1 1 1 2 2 1 3 5 4 1 4 9 12 9 1 5 14 25 30 21 1 6 20 44 69 76 51 1 7 27 70 133 189 196 127 1 8 35 | -| 85 | MotzkinGF:Inv | Acc | missing | 1 -1 0 0 -2 -1 1 2 -1 0 -1 1 4 0 1 0 -4 -2 4 -1 0 1 3 -6 -6 4 -2 -1 -1 2 11 -4 -9 6 -1 0 0 -6 -3 21 | -| 86 | MotzkinGF:Inv | AccRev | missing | 1 1 0 1 -1 -1 1 -2 -1 0 1 -3 0 2 1 1 -4 2 4 0 0 1 -5 5 5 -4 -2 -1 1 -6 9 4 -11 -2 1 0 1 -7 14 0 -20 | -| 87 | MotzkinGF:Inv | AntiDiag | A249303 | 1 -1 0 1 1 -2 -1 1 1 0 2 -3 1 -4 3 1 -1 2 2 -4 0 3 -9 6 1 1 -6 9 0 -5 -1 3 3 -15 10 1 0 4 -18 24 -5 | -| 88 | MotzkinGF:Inv | Diffx1 | missing | 1 -1 2 0 -4 3 1 2 -9 4 -1 4 9 -16 5 0 -8 6 24 -25 6 1 4 -27 0 50 -36 7 -1 6 27 -60 -25 90 -49 8 0 | -| 89 | MotzkinGF:Inv | RowSum | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | -| 90 | MotzkinGF:Inv | EvenSum | B004525 | 1 -1 1 -2 3 -3 3 -4 5 -5 5 -6 7 -7 7 -8 9 -9 9 -10 11 -11 11 -12 13 -13 13 -14 15 -15 15 -16 | -| 91 | MotzkinGF:Inv | OddSum | B004524 | 0 1 -2 2 -2 3 -4 4 -4 5 -6 6 -6 7 -8 8 -8 9 -10 10 -10 11 -12 12 -12 13 -14 14 -14 15 -16 16 | -| 92 | MotzkinGF:Inv | AltSum | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | -| 93 | MotzkinGF:Inv | AccSum | A030640 | 1 -1 -3 2 5 -3 -7 4 9 -5 -11 6 13 -7 -15 8 17 -9 -19 10 21 -11 -23 12 25 -13 -27 14 29 -15 -31 16 | -| 94 | MotzkinGF:Inv | AccRevSum | A007879 | 1 1 -1 -2 1 3 -1 -4 1 5 -1 -6 1 7 -1 -8 1 9 -1 -10 1 11 -1 -12 1 13 -1 -14 1 15 -1 -16 | -| 95 | MotzkinGF:Inv | RowLcm | missing | 1 1 2 3 12 60 90 315 840 1764 5040 970200 803880 4110986880 85790905200 1693106415 1163962800 | -| 96 | MotzkinGF:Inv | RowGcd | B132199 | 1 1 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 97 | MotzkinGF:Inv | RowMax | missing | 1 1 2 3 4 6 10 15 24 49 84 126 210 384 627 935 1672 2860 4290 8151 15015 24804 37128 64974 117572 | -| 98 | MotzkinGF:Inv | ColMiddle | missing | 1 -1 -2 1 3 2 0 -15 -20 49 84 -98 -210 48 264 561 495 -2860 -4290 8151 15015 -12948 -31824 -9282 | -| 99 | MotzkinGF:Inv | CentralE | missing | 1 -2 3 0 -20 84 -210 264 495 -4290 15015 -31824 18564 180880 -969000 2852736 | -| 100 | MotzkinGF:Inv | CentralO | B350383 | -1 1 2 -15 49 -98 48 561 -2860 8151 -12948 -9282 149226 -594320 1428952 -1448655 | -| 101 | MotzkinGF:Inv | ColLeft | A000484 | 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 | -| 102 | MotzkinGF:Inv | BinConv | missing | 1 0 -3 -4 10 36 -7 -224 -279 980 3168 -1572 -22490 -22932 111465 313328 -263534 -2441556 -1890937 | -| 103 | MotzkinGF:Inv | InvBinConv | missing | 1 2 5 12 26 46 41 -152 -1175 -5208 -18888 -60444 -174186 -449122 -995255 -1642192 -437358 12193982 | -| 104 | MotzkinGF:Inv | TransNat0 | A027656 | 0 1 0 -2 0 3 0 -4 0 5 0 -6 0 7 0 -8 0 9 0 -10 0 11 0 -12 0 13 0 -14 0 15 0 -16 | -| 105 | MotzkinGF:Inv | TransNat1 | A007879 | 1 1 -1 -2 1 3 -1 -4 1 5 -1 -6 1 7 -1 -8 1 9 -1 -10 1 11 -1 -12 1 13 -1 -14 1 15 -1 -16 | -| 106 | MotzkinGF:Inv | TransSqrs | B129889 | 0 1 2 -2 -6 3 12 -4 -20 5 30 -6 -42 7 56 -8 -72 9 90 -10 -110 11 132 -12 -156 13 182 -14 -210 15 | -| 107 | MotzkinGF:Inv | PosHalf | A106853 | 1 -1 -3 7 5 -33 13 119 -171 -305 989 231 -4187 3263 13485 -26537 -27403 133551 -23939 -510265 | -| 108 | MotzkinGF:Inv | NegHalf | A049072 | 1 3 5 3 -11 -45 -91 -93 85 627 1541 2115 181 -7917 -24475 -41757 -27371 84915 364229 753027 802165 | -| 109 | MotzkinGF:Inv | DiagRow1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | -| 110 | MotzkinGF:Inv | DiagRow2 | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | -| 111 | MotzkinGF:Inv | DiagRow3 | A254749 | 1 2 2 0 -5 -14 -28 -48 -75 -110 -154 -208 -273 -350 -440 -544 -663 -798 -950 -1120 -1309 -1518 | -| 112 | MotzkinGF:Inv | DiagCol1 | A099254 | 1 -2 1 2 -4 2 3 -6 3 4 -8 4 5 -10 5 6 -12 6 7 -14 7 8 -16 8 9 -18 9 10 -20 10 11 -22 | -| 113 | MotzkinGF:Inv | DiagCol2 | A128504 | 1 -3 3 2 -9 9 3 -18 18 4 -30 30 5 -45 45 6 -63 63 7 -84 84 8 -108 108 9 -135 135 10 -165 165 11 | -| 114 | MotzkinGF:Inv | DiagCol3 | missing | 1 -4 6 0 -15 24 -6 -36 60 -20 -70 120 -45 -120 210 -84 -189 336 -140 -280 504 -216 -396 720 -315 | -| 115 | MotzkinGF:Inv | Poly | missing | 1 -1 1 0 0 1 1 -1 1 1 -1 0 0 2 1 0 1 -1 3 3 1 1 0 -1 4 8 4 1 -1 -1 0 5 21 15 5 1 0 0 1 6 55 56 24 6 | -| 116 | MotzkinGF:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | -| 117 | MotzkinGF:Inv | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | -| 118 | MotzkinGF:Inv | PolyRow3 | A242135 | 1 0 -1 4 21 56 115 204 329 496 711 980 1309 1704 2171 2716 3345 4064 4879 5796 6821 7960 9219 10604 | -| 119 | MotzkinGF:Inv | PolyCol2 | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | -| 120 | MotzkinGF:Inv | PolyCol3 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 121 | MotzkinGF:Inv | PolyDiag | missing | 1 0 0 4 55 780 12649 235416 4976784 118118440 3114015839 90354434940 2862615066961 98356624289364 | -| 122 | MotzkinGF:Inv:Rev | Triangle | missing | 1 1 -1 1 -2 0 1 -3 1 1 1 -4 3 2 -1 1 -5 6 2 -4 0 1 -6 10 0 -9 2 1 1 -7 15 -5 -15 9 3 -1 1 -8 21 -14 | -| 123 | MotzkinGF:Inv:Rev | Rev | A101950 | 1 -1 1 0 -2 1 1 1 -3 1 -1 2 3 -4 1 0 -4 2 6 -5 1 1 2 -9 0 10 -6 1 -1 3 9 -15 -5 15 -7 1 0 -6 3 24 | -| 124 | MotzkinGF:Inv:Rev | InvRev | A064189 | 1 1 1 2 2 1 4 5 3 1 9 12 9 4 1 21 30 25 14 5 1 51 76 69 44 20 6 1 127 196 189 133 70 27 7 1 323 512 | -| 125 | MotzkinGF:Inv:Rev | Acc | missing | 1 1 0 1 -1 -1 1 -2 -1 0 1 -3 0 2 1 1 -4 2 4 0 0 1 -5 5 5 -4 -2 -1 1 -6 9 4 -11 -2 1 0 1 -7 14 0 -20 | -| 126 | MotzkinGF:Inv:Rev | AccRev | missing | 1 -1 0 0 -2 -1 1 2 -1 0 -1 1 4 0 1 0 -4 -2 4 -1 0 1 3 -6 -6 4 -2 -1 -1 2 11 -4 -9 6 -1 0 0 -6 -3 21 | -| 127 | MotzkinGF:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -2 1 -3 0 1 -4 1 1 -5 3 1 1 -6 6 2 1 -7 10 2 -1 1 -8 15 0 -4 1 -9 21 -5 -9 0 1 -10 28 | -| 128 | MotzkinGF:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -4 0 1 -6 3 4 1 -8 9 8 -5 1 -10 18 8 -20 0 1 -12 30 0 -45 12 7 1 -14 45 -20 -75 54 21 -8 1 | -| 129 | MotzkinGF:Inv:Rev | RowSum | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | -| 130 | MotzkinGF:Inv:Rev | EvenSum | B004525 | 1 1 1 2 3 3 3 4 5 5 5 6 7 7 7 8 9 9 9 10 11 11 11 12 13 13 13 14 15 15 15 16 | -| 131 | MotzkinGF:Inv:Rev | OddSum | B004524 | 0 -1 -2 -2 -2 -3 -4 -4 -4 -5 -6 -6 -6 -7 -8 -8 -8 -9 -10 -10 -10 -11 -12 -12 -12 -13 -14 -14 -14 | -| 132 | MotzkinGF:Inv:Rev | AltSum | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 133 | MotzkinGF:Inv:Rev | DiagSum | missing | 1 1 0 -1 -2 -2 0 3 5 4 -1 -8 -12 -8 5 21 28 15 -18 -54 -64 -25 57 136 143 32 -168 -336 -311 -7 472 | -| 134 | MotzkinGF:Inv:Rev | AccSum | A007879 | 1 1 -1 -2 1 3 -1 -4 1 5 -1 -6 1 7 -1 -8 1 9 -1 -10 1 11 -1 -12 1 13 -1 -14 1 15 -1 -16 | -| 135 | MotzkinGF:Inv:Rev | AccRevSum | A030640 | 1 -1 -3 2 5 -3 -7 4 9 -5 -11 6 13 -7 -15 8 17 -9 -19 10 21 -11 -23 12 25 -13 -27 14 29 -15 -31 16 | -| 136 | MotzkinGF:Inv:Rev | RowLcm | missing | 1 1 2 3 12 60 90 315 840 1764 5040 970200 803880 4110986880 85790905200 1693106415 1163962800 | -| 137 | MotzkinGF:Inv:Rev | RowGcd | B132199 | 1 1 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 138 | MotzkinGF:Inv:Rev | RowMax | missing | 1 1 2 3 4 6 10 15 24 49 84 126 210 384 627 935 1672 2860 4290 8151 15015 24804 37128 64974 117572 | -| 139 | MotzkinGF:Inv:Rev | ColMiddle | missing | 1 1 -2 -3 3 6 0 -5 -20 -21 84 126 -210 -384 264 693 495 0 -4290 -5577 15015 24804 -31824 -64974 | -| 140 | MotzkinGF:Inv:Rev | CentralE | missing | 1 -2 3 0 -20 84 -210 264 495 -4290 15015 -31824 18564 180880 -969000 2852736 | -| 141 | MotzkinGF:Inv:Rev | CentralO | missing | 1 -3 6 -5 -21 126 -384 693 0 -5577 24804 -64974 85918 155040 -1418616 5103723 | -| 142 | MotzkinGF:Inv:Rev | ColRight | A000484 | 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 | -| 143 | MotzkinGF:Inv:Rev | BinConv | missing | 1 0 -3 -4 10 36 -7 -224 -279 980 3168 -1572 -22490 -22932 111465 313328 -263534 -2441556 -1890937 | -| 144 | MotzkinGF:Inv:Rev | InvBinConv | missing | 1 -2 5 -12 26 -46 41 152 -1175 5208 -18888 60444 -174186 449122 -995255 1642192 -437358 -12193982 | -| 145 | MotzkinGF:Inv:Rev | TransNat0 | B029578 | 0 -1 -2 2 4 -3 -6 4 8 -5 -10 6 12 -7 -14 8 16 -9 -18 10 20 -11 -22 12 24 -13 -26 14 28 -15 -30 16 | -| 146 | MotzkinGF:Inv:Rev | TransNat1 | A030640 | 1 -1 -3 2 5 -3 -7 4 9 -5 -11 6 13 -7 -15 8 17 -9 -19 10 21 -11 -23 12 25 -13 -27 14 29 -15 -31 16 | -| 147 | MotzkinGF:Inv:Rev | TransSqrs | missing | 0 -1 -2 10 10 -27 -24 52 44 -85 -70 126 102 -175 -140 232 184 -297 -234 370 290 -451 -352 540 420 | -| 148 | MotzkinGF:Inv:Rev | PosHalf | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | -| 149 | MotzkinGF:Inv:Rev | NegHalf | B001906 | 1 -3 8 -21 55 -144 377 -987 2584 -6765 17711 -46368 121393 -317811 832040 -2178309 5702887 | -| 150 | MotzkinGF:Inv:Rev | DiagRow1 | A099254 | 1 -2 1 2 -4 2 3 -6 3 4 -8 4 5 -10 5 6 -12 6 7 -14 7 8 -16 8 9 -18 9 10 -20 10 11 -22 | -| 151 | MotzkinGF:Inv:Rev | DiagRow2 | A128504 | 1 -3 3 2 -9 9 3 -18 18 4 -30 30 5 -45 45 6 -63 63 7 -84 84 8 -108 108 9 -135 135 10 -165 165 11 | -| 152 | MotzkinGF:Inv:Rev | DiagRow3 | missing | 1 -4 6 0 -15 24 -6 -36 60 -20 -70 120 -45 -120 210 -84 -189 336 -140 -280 504 -216 -396 720 -315 | -| 153 | MotzkinGF:Inv:Rev | DiagCol1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | -| 154 | MotzkinGF:Inv:Rev | DiagCol2 | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | -| 155 | MotzkinGF:Inv:Rev | DiagCol3 | A254749 | 1 2 2 0 -5 -14 -28 -48 -75 -110 -154 -208 -273 -350 -440 -544 -663 -798 -950 -1120 -1309 -1518 | -| 156 | MotzkinGF:Inv:Rev | Poly | missing | 1 1 1 1 0 1 1 -1 -1 1 1 0 -3 -2 1 1 1 7 -5 -3 1 1 0 5 28 -7 -4 1 1 -1 -33 -11 69 -9 -5 1 1 0 13 | -| 157 | MotzkinGF:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 158 | MotzkinGF:Inv:Rev | PolyRow2 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | -| 159 | MotzkinGF:Inv:Rev | PolyRow3 | missing | 1 0 7 28 69 136 235 372 553 784 1071 1420 1837 2328 2899 3556 4305 5152 6103 7164 8341 9640 11067 | -| 160 | MotzkinGF:Inv:Rev | PolyCol2 | A106853 | 1 -1 -3 7 5 -33 13 119 -171 -305 989 231 -4187 3263 13485 -26537 -27403 133551 -23939 -510265 | -| 161 | MotzkinGF:Inv:Rev | PolyCol3 | A025170 | 1 -2 -5 28 -11 -230 559 952 -6935 5302 51811 -151340 -163619 1689298 -1906025 -11391632 39937489 | -| 162 | MotzkinGF:Inv:Rev | PolyDiag | missing | 1 0 -3 28 -95 -2124 50869 -356376 -11097855 430015960 -4586784499 -186333758940 9987890296033 | \ No newline at end of file +| 42 | MotzkinGF:Alt | Triangle | A064189 | 1 1 -1 2 -2 1 4 -5 3 -1 9 -12 9 -4 1 21 -30 25 -14 5 -1 51 -76 69 -44 20 -6 1 127 -196 189 -133 70 | +| 43 | MotzkinGF:Alt | Rev | A026300 | 1 -1 1 1 -2 2 -1 3 -5 4 1 -4 9 -12 9 -1 5 -14 25 -30 21 1 -6 20 -44 69 -76 51 -1 7 -27 70 -133 189 | +| 44 | MotzkinGF:Alt | Inv | missing | 1 -1 1 -4 2 1 3 -1 -3 1 27 -10 -21 4 1 -44 16 38 -6 -5 1 -523 190 447 -72 -50 6 1 1415 -513 -1221 | +| 45 | MotzkinGF:Alt | RevInv | missing | 1 1 -1 1 2 -4 1 -3 -1 3 1 4 -21 -10 27 1 -5 -6 38 16 -44 1 6 -50 -72 447 190 -523 1 -7 -15 145 195 | +| 46 | MotzkinGF:Alt | Acc | missing | 1 1 0 2 0 1 4 -1 2 1 9 -3 6 2 3 21 -9 16 2 7 6 51 -25 44 0 20 14 15 127 -69 120 -13 57 30 37 36 323 | +| 47 | MotzkinGF:Alt | AccRev | A071947 | 1 -1 0 1 -1 1 -1 2 -3 1 1 -3 6 -6 3 -1 4 -10 15 -15 6 1 -5 15 -29 40 -36 15 -1 6 -21 49 -84 105 -91 | +| 48 | MotzkinGF:Alt | AntiDiag | A106489 | 1 1 2 -1 4 -2 9 -5 1 21 -12 3 51 -30 9 -1 127 -76 25 -4 323 -196 69 -14 1 835 -512 189 -44 5 2188 | +| 49 | MotzkinGF:Alt | Diffx1 | missing | 1 1 -2 2 -4 3 4 -10 9 -4 9 -24 27 -16 5 21 -60 75 -56 25 -6 51 -152 207 -176 100 -36 7 127 -392 567 | +| 50 | MotzkinGF:Alt | RowSum | A005043 | 1 0 1 1 3 6 15 36 91 232 603 1585 4213 11298 30537 83097 227475 625992 1730787 4805595 13393689 | +| 51 | MotzkinGF:Alt | EvenSum | A002426 | 1 1 3 7 19 51 141 393 1107 3139 8953 25653 73789 212941 616227 1787607 5196627 15134931 44152809 | +| 52 | MotzkinGF:Alt | OddSum | A005717 | 0 -1 -2 -6 -16 -45 -126 -357 -1016 -2907 -8350 -24068 -69576 -201643 -585690 -1704510 -4969152 | +| 53 | MotzkinGF:Alt | AltSum | B005773 | 1 2 5 13 35 96 267 750 2123 6046 17303 49721 143365 414584 1201917 3492117 10165779 29643870 | +| 54 | MotzkinGF:Alt | DiagSum | A089372 | 1 1 1 2 5 12 29 72 183 473 1239 3282 8777 23665 64261 175584 482395 1331795 3692891 10280190 | +| 55 | MotzkinGF:Alt | AccSum | missing | 1 1 3 6 17 43 119 325 909 2553 7235 20606 58981 169471 488591 1412650 4094549 11893849 34615739 | +| 56 | MotzkinGF:Alt | RowLcm | missing | 1 1 2 60 36 1050 4903140 63847980 448240898560 10968190265340 203258629623949200 | +| 57 | MotzkinGF:Alt | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 58 | MotzkinGF:Alt | RowMax | A026938 | 1 1 2 5 12 30 76 196 518 1422 3915 10813 29964 83304 232323 649845 1822824 5147328 14727168 | +| 59 | MotzkinGF:Alt | ColMiddle | A344394 | 1 1 -2 -5 9 25 -44 -133 230 726 -1242 -4037 6853 22737 -38376 -129285 217242 740554 -1239980 | +| 60 | MotzkinGF:Alt | CentralE | A026302 | 1 -2 9 -44 230 -1242 6853 -38376 217242 -1239980 7123765 -41141916 238637282 -1389206210 8112107475 | +| 61 | MotzkinGF:Alt | CentralO | A344396 | 1 -5 25 -133 726 -4037 22737 -129285 740554 -4266830 24701425 -143567173 837212650 -4896136845 | +| 62 | MotzkinGF:Alt | ColLeft | A001006 | 1 1 2 4 9 21 51 127 323 835 2188 5798 15511 41835 113634 310572 853467 2356779 6536382 18199284 | +| 63 | MotzkinGF:Alt | BinConv | A344503 | 1 0 -1 -3 0 5 15 0 -28 -84 0 165 495 0 -1001 -3003 0 6188 18564 0 -38760 -116280 0 245157 735471 0 | +| 64 | MotzkinGF:Alt | InvBinConv | A344502 | 1 -2 7 -29 128 -587 2759 -13190 63844 -311948 1535488 -7602971 37829455 -188989166 947399951 | +| 65 | MotzkinGF:Alt | TransNat0 | A187306 | 0 -1 0 -2 -2 -7 -14 -37 -90 -233 -602 -1586 -4212 -11299 -30536 -83098 -227474 -625993 -1730786 | +| 66 | MotzkinGF:Alt | TransSqrs | missing | 0 -1 2 -2 4 -1 10 11 44 97 274 708 1920 5165 14074 38486 105892 292625 812170 2262638 6325456 | +| 67 | MotzkinGF:Alt | PosHalf | A330800 | 1 1 5 17 77 345 1653 8097 40733 208553 1084421 5708785 30370861 163019641 881790357 4801746753 | +| 68 | MotzkinGF:Alt | NegHalf | A330799 | 1 -3 13 -59 285 -1419 7245 -37659 198589 -1059371 5705517 -30976571 169338781 -931239243 5147825421 | +| 69 | MotzkinGF:Alt | DiagRow1 | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 70 | MotzkinGF:Alt | DiagRow2 | B000096 | 2 -5 9 -14 20 -27 35 -44 54 -65 77 -90 104 -119 135 -152 170 -189 209 -230 252 -275 299 -324 350 | +| 71 | MotzkinGF:Alt | DiagRow3 | B000297 | 4 -12 25 -44 70 -104 147 -200 264 -340 429 -532 650 -784 935 -1104 1292 -1500 1729 -1980 2254 -2552 | +| 72 | MotzkinGF:Alt | DiagCol1 | B002026 | -1 -2 -5 -12 -30 -76 -196 -512 -1353 -3610 -9713 -26324 -71799 -196938 -542895 -1503312 -4179603 | +| 73 | MotzkinGF:Alt | DiagCol2 | A005322 | 1 3 9 25 69 189 518 1422 3915 10813 29964 83304 232323 649845 1822824 5126520 14453451 40843521 | +| 74 | MotzkinGF:Alt | DiagCol3 | A005323 | -1 -4 -14 -44 -133 -392 -1140 -3288 -9438 -27016 -77220 -220584 -630084 -1800384 -5147328 -14727168 | +| 75 | MotzkinGF:Alt | Poly | missing | 1 1 1 2 0 1 4 1 -1 1 9 1 2 -2 1 21 3 -2 5 -3 1 51 6 5 -11 10 -4 1 127 15 -3 27 -32 17 -5 1 323 36 | +| 76 | MotzkinGF:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 77 | MotzkinGF:Alt | PolyRow2 | A160457 | 2 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 | +| 78 | MotzkinGF:Alt | PolyRow3 | B094792 | 4 1 -2 -11 -32 -71 -134 -227 -356 -527 -746 -1019 -1352 -1751 -2222 -2771 -3404 -4127 -4946 -5867 | +| 79 | MotzkinGF:Alt | PolyCol2 | A344507 | 1 -1 2 -2 5 -3 15 3 59 73 308 632 1951 4829 13674 36306 100827 275493 765150 2120466 5918943 | +| 80 | MotzkinGF:Alt | PolyCol3 | missing | 1 -2 5 -11 27 -60 147 -326 803 -1766 4399 -9535 24181 -51252 133533 -273699 742155 -1447206 4162407 | +| 81 | MotzkinGF:Alt | PolyDiag | missing | 1 0 2 -11 105 -1254 18495 -323322 6537923 -150081824 3855219588 -109554218575 3412072766311 | +| 82 | MotzkinGF:Rev | Triangle | A026300 | 1 1 1 1 2 2 1 3 5 4 1 4 9 12 9 1 5 14 25 30 21 1 6 20 44 69 76 51 1 7 27 70 133 189 196 127 1 8 35 | +| 83 | MotzkinGF:Rev | InvRev | A101950 | 1 -1 1 0 -2 1 1 1 -3 1 -1 2 3 -4 1 0 -4 2 6 -5 1 1 2 -9 0 10 -6 1 -1 3 9 -15 -5 15 -7 1 0 -6 3 24 | +| 84 | MotzkinGF:Rev | Acc | missing | 1 1 2 1 3 5 1 4 9 13 1 5 14 26 35 1 6 20 45 75 96 1 7 27 71 140 216 267 1 8 35 105 238 427 623 750 | +| 85 | MotzkinGF:Rev | AccRev | missing | 1 1 2 2 4 5 4 9 12 13 9 21 30 34 35 21 51 76 90 95 96 51 127 196 240 260 266 267 127 323 512 645 | +| 86 | MotzkinGF:Rev | AntiDiag | A008315 | 1 1 1 1 1 2 1 3 2 1 4 5 1 5 9 4 1 6 14 12 1 7 20 25 9 1 8 27 44 30 1 9 35 70 69 21 1 10 44 104 133 | +| 87 | MotzkinGF:Rev | Diffx1 | missing | 1 1 2 1 4 6 1 6 15 16 1 8 27 48 45 1 10 42 100 150 126 1 12 60 176 345 456 357 1 14 81 280 665 1134 | +| 88 | MotzkinGF:Rev | RowSum | B005773 | 1 2 5 13 35 96 267 750 2123 6046 17303 49721 143365 414584 1201917 3492117 10165779 29643870 | +| 89 | MotzkinGF:Rev | EvenSum | missing | 1 1 3 6 19 45 141 357 1107 2907 8953 24068 73789 201643 616227 1704510 5196627 14508939 44152809 | +| 90 | MotzkinGF:Rev | OddSum | missing | 0 1 2 7 16 51 126 393 1016 3139 8350 25653 69576 212941 585690 1787607 4969152 15134931 42422022 | +| 91 | MotzkinGF:Rev | AltSum | A005043 | 1 0 1 -1 3 -6 15 -36 91 -232 603 -1585 4213 -11298 30537 -83097 227475 -625992 1730787 -4805595 | +| 92 | MotzkinGF:Rev | DiagSum | A191519 | 1 1 2 3 6 10 19 33 62 110 205 368 683 1235 2286 4153 7674 13986 25813 47150 86949 159077 293176 | +| 93 | MotzkinGF:Rev | AccSum | A000244 | 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721 129140163 | +| 94 | MotzkinGF:Rev | AccRevSum | A026943 | 1 3 11 38 129 429 1407 4563 14669 46823 148587 469226 1475669 4624437 14447703 45017082 139937301 | +| 95 | MotzkinGF:Rev | RowLcm | missing | 1 1 2 60 36 1050 4903140 63847980 448240898560 10968190265340 203258629623949200 | +| 96 | MotzkinGF:Rev | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 97 | MotzkinGF:Rev | RowMax | A026938 | 1 1 2 5 12 30 76 196 518 1422 3915 10813 29964 83304 232323 649845 1822824 5147328 14727168 | +| 98 | MotzkinGF:Rev | ColMiddle | A026307 | 1 1 2 3 9 14 44 70 230 369 1242 2002 6853 11076 38376 62127 217242 352070 1239980 2010998 7123765 | +| 99 | MotzkinGF:Rev | CentralE | A026302 | 1 2 9 44 230 1242 6853 38376 217242 1239980 7123765 41141916 238637282 1389206210 8112107475 | +| 100 | MotzkinGF:Rev | CentralO | B327871 | 1 3 14 70 369 2002 11076 62127 352070 2010998 11559030 66780155 387444085 2255875650 13174629240 | +| 101 | MotzkinGF:Rev | ColRight | A001006 | 1 1 2 4 9 21 51 127 323 835 2188 5798 15511 41835 113634 310572 853467 2356779 6536382 18199284 | +| 102 | MotzkinGF:Rev | BinConv | A344502 | 1 2 7 29 128 587 2759 13190 63844 311948 1535488 7602971 37829455 188989166 947399951 4763280965 | +| 103 | MotzkinGF:Rev | InvBinConv | A344503 | 1 0 -1 -3 0 5 15 0 -28 -84 0 165 495 0 -1001 -3003 0 6188 18564 0 -38760 -116280 0 245157 735471 0 | +| 104 | MotzkinGF:Rev | TransNat0 | missing | 0 1 6 25 94 333 1140 3813 12546 40777 131284 419505 1332304 4209853 13245786 41524965 129771522 | +| 105 | MotzkinGF:Rev | TransNat1 | A026943 | 1 3 11 38 129 429 1407 4563 14669 46823 148587 469226 1475669 4624437 14447703 45017082 139937301 | +| 106 | MotzkinGF:Rev | TransSqrs | missing | 0 1 10 59 292 1291 5322 20877 78972 290507 1045378 3695281 12871616 44285341 150775186 508719555 | +| 107 | MotzkinGF:Rev | PosHalf | A059738 | 1 3 10 34 117 405 1407 4899 17083 59629 208284 727900 2544751 8898873 31125138 108881166 380928795 | +| 108 | MotzkinGF:Rev | NegHalf | A344507 | 1 -1 2 -2 5 -3 15 3 59 73 308 632 1951 4829 13674 36306 100827 275493 765150 2120466 5918943 | +| 109 | MotzkinGF:Rev | DiagRow1 | B002026 | 1 2 5 12 30 76 196 512 1353 3610 9713 26324 71799 196938 542895 1503312 4179603 11662902 32652735 | +| 110 | MotzkinGF:Rev | DiagRow2 | A005322 | 1 3 9 25 69 189 518 1422 3915 10813 29964 83304 232323 649845 1822824 5126520 14453451 40843521 | +| 111 | MotzkinGF:Rev | DiagRow3 | A005323 | 1 4 14 44 133 392 1140 3288 9438 27016 77220 220584 630084 1800384 5147328 14727168 42171849 | +| 112 | MotzkinGF:Rev | DiagCol1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 113 | MotzkinGF:Rev | DiagCol2 | B000096 | 2 5 9 14 20 27 35 44 54 65 77 90 104 119 135 152 170 189 209 230 252 275 299 324 350 377 405 434 | +| 114 | MotzkinGF:Rev | DiagCol3 | B000297 | 4 12 25 44 70 104 147 200 264 340 429 532 650 784 935 1104 1292 1500 1729 1980 2254 2552 2875 3224 | +| 115 | MotzkinGF:Rev | Poly | missing | 1 1 1 1 2 1 1 5 3 1 1 13 13 4 1 1 35 59 25 5 1 1 96 285 163 41 6 1 1 267 1419 1147 349 61 7 1 1 750 | +| 116 | MotzkinGF:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 117 | MotzkinGF:Rev | PolyRow2 | A001844 | 1 5 13 25 41 61 85 113 145 181 221 265 313 365 421 481 545 613 685 761 841 925 1013 1105 1201 1301 | +| 118 | MotzkinGF:Rev | PolyRow3 | missing | 1 13 59 163 349 641 1063 1639 2393 3349 4531 5963 7669 9673 11999 14671 17713 21149 25003 29299 | +| 119 | MotzkinGF:Rev | PolyCol2 | A330799 | 1 3 13 59 285 1419 7245 37659 198589 1059371 5705517 30976571 169338781 931239243 5147825421 | +| 120 | MotzkinGF:Rev | PolyCol3 | missing | 1 4 25 163 1147 8350 62623 479488 3733603 29464012 235114411 1893694435 15374142901 125675225554 | +| 121 | MotzkinGF:Rev | PolyDiag | missing | 1 2 13 163 3233 87876 3070117 131170404 6642415873 389190947878 25916745005501 1933826196058571 | +| 122 | MotzkinGF:Inv | Triangle | A101950 | 1 -1 1 0 -2 1 1 1 -3 1 -1 2 3 -4 1 0 -4 2 6 -5 1 1 2 -9 0 10 -6 1 -1 3 9 -15 -5 15 -7 1 0 -6 3 24 | +| 123 | MotzkinGF:Inv | Rev | missing | 1 1 -1 1 -2 0 1 -3 1 1 1 -4 3 2 -1 1 -5 6 2 -4 0 1 -6 10 0 -9 2 1 1 -7 15 -5 -15 9 3 -1 1 -8 21 -14 | +| 124 | MotzkinGF:Inv | RevInv | A026300 | 1 1 1 1 2 2 1 3 5 4 1 4 9 12 9 1 5 14 25 30 21 1 6 20 44 69 76 51 1 7 27 70 133 189 196 127 1 8 35 | +| 125 | MotzkinGF:Inv | Acc | missing | 1 -1 0 0 -2 -1 1 2 -1 0 -1 1 4 0 1 0 -4 -2 4 -1 0 1 3 -6 -6 4 -2 -1 -1 2 11 -4 -9 6 -1 0 0 -6 -3 21 | +| 126 | MotzkinGF:Inv | AccRev | missing | 1 1 0 1 -1 -1 1 -2 -1 0 1 -3 0 2 1 1 -4 2 4 0 0 1 -5 5 5 -4 -2 -1 1 -6 9 4 -11 -2 1 0 1 -7 14 0 -20 | +| 127 | MotzkinGF:Inv | AntiDiag | A249303 | 1 -1 0 1 1 -2 -1 1 1 0 2 -3 1 -4 3 1 -1 2 2 -4 0 3 -9 6 1 1 -6 9 0 -5 -1 3 3 -15 10 1 0 4 -18 24 -5 | +| 128 | MotzkinGF:Inv | Diffx1 | missing | 1 -1 2 0 -4 3 1 2 -9 4 -1 4 9 -16 5 0 -8 6 24 -25 6 1 4 -27 0 50 -36 7 -1 6 27 -60 -25 90 -49 8 0 | +| 129 | MotzkinGF:Inv | RowSum | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | +| 130 | MotzkinGF:Inv | EvenSum | B004525 | 1 -1 1 -2 3 -3 3 -4 5 -5 5 -6 7 -7 7 -8 9 -9 9 -10 11 -11 11 -12 13 -13 13 -14 15 -15 15 -16 | +| 131 | MotzkinGF:Inv | OddSum | B004524 | 0 1 -2 2 -2 3 -4 4 -4 5 -6 6 -6 7 -8 8 -8 9 -10 10 -10 11 -12 12 -12 13 -14 14 -14 15 -16 16 | +| 132 | MotzkinGF:Inv | AltSum | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 133 | MotzkinGF:Inv | AccSum | A030640 | 1 -1 -3 2 5 -3 -7 4 9 -5 -11 6 13 -7 -15 8 17 -9 -19 10 21 -11 -23 12 25 -13 -27 14 29 -15 -31 16 | +| 134 | MotzkinGF:Inv | AccRevSum | A007879 | 1 1 -1 -2 1 3 -1 -4 1 5 -1 -6 1 7 -1 -8 1 9 -1 -10 1 11 -1 -12 1 13 -1 -14 1 15 -1 -16 | +| 135 | MotzkinGF:Inv | RowLcm | missing | 1 1 2 3 12 60 90 315 840 1764 5040 970200 803880 4110986880 85790905200 1693106415 1163962800 | +| 136 | MotzkinGF:Inv | RowGcd | B132199 | 1 1 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 137 | MotzkinGF:Inv | RowMax | missing | 1 1 2 3 4 6 10 15 24 49 84 126 210 384 627 935 1672 2860 4290 8151 15015 24804 37128 64974 117572 | +| 138 | MotzkinGF:Inv | ColMiddle | missing | 1 -1 -2 1 3 2 0 -15 -20 49 84 -98 -210 48 264 561 495 -2860 -4290 8151 15015 -12948 -31824 -9282 | +| 139 | MotzkinGF:Inv | CentralE | missing | 1 -2 3 0 -20 84 -210 264 495 -4290 15015 -31824 18564 180880 -969000 2852736 | +| 140 | MotzkinGF:Inv | CentralO | B350383 | -1 1 2 -15 49 -98 48 561 -2860 8151 -12948 -9282 149226 -594320 1428952 -1448655 | +| 141 | MotzkinGF:Inv | ColLeft | A000484 | 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 | +| 142 | MotzkinGF:Inv | BinConv | missing | 1 0 -3 -4 10 36 -7 -224 -279 980 3168 -1572 -22490 -22932 111465 313328 -263534 -2441556 -1890937 | +| 143 | MotzkinGF:Inv | InvBinConv | missing | 1 2 5 12 26 46 41 -152 -1175 -5208 -18888 -60444 -174186 -449122 -995255 -1642192 -437358 12193982 | +| 144 | MotzkinGF:Inv | TransNat0 | A027656 | 0 1 0 -2 0 3 0 -4 0 5 0 -6 0 7 0 -8 0 9 0 -10 0 11 0 -12 0 13 0 -14 0 15 0 -16 | +| 145 | MotzkinGF:Inv | TransNat1 | A007879 | 1 1 -1 -2 1 3 -1 -4 1 5 -1 -6 1 7 -1 -8 1 9 -1 -10 1 11 -1 -12 1 13 -1 -14 1 15 -1 -16 | +| 146 | MotzkinGF:Inv | TransSqrs | B129889 | 0 1 2 -2 -6 3 12 -4 -20 5 30 -6 -42 7 56 -8 -72 9 90 -10 -110 11 132 -12 -156 13 182 -14 -210 15 | +| 147 | MotzkinGF:Inv | PosHalf | A106853 | 1 -1 -3 7 5 -33 13 119 -171 -305 989 231 -4187 3263 13485 -26537 -27403 133551 -23939 -510265 | +| 148 | MotzkinGF:Inv | NegHalf | A049072 | 1 3 5 3 -11 -45 -91 -93 85 627 1541 2115 181 -7917 -24475 -41757 -27371 84915 364229 753027 802165 | +| 149 | MotzkinGF:Inv | DiagRow1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | +| 150 | MotzkinGF:Inv | DiagRow2 | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | +| 151 | MotzkinGF:Inv | DiagRow3 | A254749 | 1 2 2 0 -5 -14 -28 -48 -75 -110 -154 -208 -273 -350 -440 -544 -663 -798 -950 -1120 -1309 -1518 | +| 152 | MotzkinGF:Inv | DiagCol1 | A099254 | 1 -2 1 2 -4 2 3 -6 3 4 -8 4 5 -10 5 6 -12 6 7 -14 7 8 -16 8 9 -18 9 10 -20 10 11 -22 | +| 153 | MotzkinGF:Inv | DiagCol2 | A128504 | 1 -3 3 2 -9 9 3 -18 18 4 -30 30 5 -45 45 6 -63 63 7 -84 84 8 -108 108 9 -135 135 10 -165 165 11 | +| 154 | MotzkinGF:Inv | DiagCol3 | missing | 1 -4 6 0 -15 24 -6 -36 60 -20 -70 120 -45 -120 210 -84 -189 336 -140 -280 504 -216 -396 720 -315 | +| 155 | MotzkinGF:Inv | Poly | missing | 1 -1 1 0 0 1 1 -1 1 1 -1 0 0 2 1 0 1 -1 3 3 1 1 0 -1 4 8 4 1 -1 -1 0 5 21 15 5 1 0 0 1 6 55 56 24 6 | +| 156 | MotzkinGF:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 157 | MotzkinGF:Inv | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 158 | MotzkinGF:Inv | PolyRow3 | A242135 | 1 0 -1 4 21 56 115 204 329 496 711 980 1309 1704 2171 2716 3345 4064 4879 5796 6821 7960 9219 10604 | +| 159 | MotzkinGF:Inv | PolyCol2 | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | +| 160 | MotzkinGF:Inv | PolyCol3 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 161 | MotzkinGF:Inv | PolyDiag | missing | 1 0 0 4 55 780 12649 235416 4976784 118118440 3114015839 90354434940 2862615066961 98356624289364 | +| 162 | MotzkinGF:Inv:Rev | Triangle | missing | 1 1 -1 1 -2 0 1 -3 1 1 1 -4 3 2 -1 1 -5 6 2 -4 0 1 -6 10 0 -9 2 1 1 -7 15 -5 -15 9 3 -1 1 -8 21 -14 | +| 163 | MotzkinGF:Inv:Rev | Rev | A101950 | 1 -1 1 0 -2 1 1 1 -3 1 -1 2 3 -4 1 0 -4 2 6 -5 1 1 2 -9 0 10 -6 1 -1 3 9 -15 -5 15 -7 1 0 -6 3 24 | +| 164 | MotzkinGF:Inv:Rev | InvRev | A064189 | 1 1 1 2 2 1 4 5 3 1 9 12 9 4 1 21 30 25 14 5 1 51 76 69 44 20 6 1 127 196 189 133 70 27 7 1 323 512 | +| 165 | MotzkinGF:Inv:Rev | Acc | missing | 1 1 0 1 -1 -1 1 -2 -1 0 1 -3 0 2 1 1 -4 2 4 0 0 1 -5 5 5 -4 -2 -1 1 -6 9 4 -11 -2 1 0 1 -7 14 0 -20 | +| 166 | MotzkinGF:Inv:Rev | AccRev | missing | 1 -1 0 0 -2 -1 1 2 -1 0 -1 1 4 0 1 0 -4 -2 4 -1 0 1 3 -6 -6 4 -2 -1 -1 2 11 -4 -9 6 -1 0 0 -6 -3 21 | +| 167 | MotzkinGF:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -2 1 -3 0 1 -4 1 1 -5 3 1 1 -6 6 2 1 -7 10 2 -1 1 -8 15 0 -4 1 -9 21 -5 -9 0 1 -10 28 | +| 168 | MotzkinGF:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -4 0 1 -6 3 4 1 -8 9 8 -5 1 -10 18 8 -20 0 1 -12 30 0 -45 12 7 1 -14 45 -20 -75 54 21 -8 1 | +| 169 | MotzkinGF:Inv:Rev | RowSum | A014581 | 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 | +| 170 | MotzkinGF:Inv:Rev | EvenSum | B004525 | 1 1 1 2 3 3 3 4 5 5 5 6 7 7 7 8 9 9 9 10 11 11 11 12 13 13 13 14 15 15 15 16 | +| 171 | MotzkinGF:Inv:Rev | OddSum | B004524 | 0 -1 -2 -2 -2 -3 -4 -4 -4 -5 -6 -6 -6 -7 -8 -8 -8 -9 -10 -10 -10 -11 -12 -12 -12 -13 -14 -14 -14 | +| 172 | MotzkinGF:Inv:Rev | AltSum | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 173 | MotzkinGF:Inv:Rev | DiagSum | missing | 1 1 0 -1 -2 -2 0 3 5 4 -1 -8 -12 -8 5 21 28 15 -18 -54 -64 -25 57 136 143 32 -168 -336 -311 -7 472 | +| 174 | MotzkinGF:Inv:Rev | AccSum | A007879 | 1 1 -1 -2 1 3 -1 -4 1 5 -1 -6 1 7 -1 -8 1 9 -1 -10 1 11 -1 -12 1 13 -1 -14 1 15 -1 -16 | +| 175 | MotzkinGF:Inv:Rev | AccRevSum | A030640 | 1 -1 -3 2 5 -3 -7 4 9 -5 -11 6 13 -7 -15 8 17 -9 -19 10 21 -11 -23 12 25 -13 -27 14 29 -15 -31 16 | +| 176 | MotzkinGF:Inv:Rev | RowLcm | missing | 1 1 2 3 12 60 90 315 840 1764 5040 970200 803880 4110986880 85790905200 1693106415 1163962800 | +| 177 | MotzkinGF:Inv:Rev | RowGcd | B132199 | 1 1 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 178 | MotzkinGF:Inv:Rev | RowMax | missing | 1 1 2 3 4 6 10 15 24 49 84 126 210 384 627 935 1672 2860 4290 8151 15015 24804 37128 64974 117572 | +| 179 | MotzkinGF:Inv:Rev | ColMiddle | missing | 1 1 -2 -3 3 6 0 -5 -20 -21 84 126 -210 -384 264 693 495 0 -4290 -5577 15015 24804 -31824 -64974 | +| 180 | MotzkinGF:Inv:Rev | CentralE | missing | 1 -2 3 0 -20 84 -210 264 495 -4290 15015 -31824 18564 180880 -969000 2852736 | +| 181 | MotzkinGF:Inv:Rev | CentralO | missing | 1 -3 6 -5 -21 126 -384 693 0 -5577 24804 -64974 85918 155040 -1418616 5103723 | +| 182 | MotzkinGF:Inv:Rev | ColRight | A000484 | 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 | +| 183 | MotzkinGF:Inv:Rev | BinConv | missing | 1 0 -3 -4 10 36 -7 -224 -279 980 3168 -1572 -22490 -22932 111465 313328 -263534 -2441556 -1890937 | +| 184 | MotzkinGF:Inv:Rev | InvBinConv | missing | 1 -2 5 -12 26 -46 41 152 -1175 5208 -18888 60444 -174186 449122 -995255 1642192 -437358 -12193982 | +| 185 | MotzkinGF:Inv:Rev | TransNat0 | B029578 | 0 -1 -2 2 4 -3 -6 4 8 -5 -10 6 12 -7 -14 8 16 -9 -18 10 20 -11 -22 12 24 -13 -26 14 28 -15 -30 16 | +| 186 | MotzkinGF:Inv:Rev | TransNat1 | A030640 | 1 -1 -3 2 5 -3 -7 4 9 -5 -11 6 13 -7 -15 8 17 -9 -19 10 21 -11 -23 12 25 -13 -27 14 29 -15 -31 16 | +| 187 | MotzkinGF:Inv:Rev | TransSqrs | missing | 0 -1 -2 10 10 -27 -24 52 44 -85 -70 126 102 -175 -140 232 184 -297 -234 370 290 -451 -352 540 420 | +| 188 | MotzkinGF:Inv:Rev | PosHalf | A000484 | 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 0 -1 -1 0 1 1 | +| 189 | MotzkinGF:Inv:Rev | NegHalf | B001906 | 1 -3 8 -21 55 -144 377 -987 2584 -6765 17711 -46368 121393 -317811 832040 -2178309 5702887 | +| 190 | MotzkinGF:Inv:Rev | DiagRow1 | A099254 | 1 -2 1 2 -4 2 3 -6 3 4 -8 4 5 -10 5 6 -12 6 7 -14 7 8 -16 8 9 -18 9 10 -20 10 11 -22 | +| 191 | MotzkinGF:Inv:Rev | DiagRow2 | A128504 | 1 -3 3 2 -9 9 3 -18 18 4 -30 30 5 -45 45 6 -63 63 7 -84 84 8 -108 108 9 -135 135 10 -165 165 11 | +| 192 | MotzkinGF:Inv:Rev | DiagRow3 | missing | 1 -4 6 0 -15 24 -6 -36 60 -20 -70 120 -45 -120 210 -84 -189 336 -140 -280 504 -216 -396 720 -315 | +| 193 | MotzkinGF:Inv:Rev | DiagCol1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | +| 194 | MotzkinGF:Inv:Rev | DiagCol2 | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | +| 195 | MotzkinGF:Inv:Rev | DiagCol3 | A254749 | 1 2 2 0 -5 -14 -28 -48 -75 -110 -154 -208 -273 -350 -440 -544 -663 -798 -950 -1120 -1309 -1518 | +| 196 | MotzkinGF:Inv:Rev | Poly | missing | 1 1 1 1 0 1 1 -1 -1 1 1 0 -3 -2 1 1 1 7 -5 -3 1 1 0 5 28 -7 -4 1 1 -1 -33 -11 69 -9 -5 1 1 0 13 | +| 197 | MotzkinGF:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 198 | MotzkinGF:Inv:Rev | PolyRow2 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | +| 199 | MotzkinGF:Inv:Rev | PolyRow3 | missing | 1 0 7 28 69 136 235 372 553 784 1071 1420 1837 2328 2899 3556 4305 5152 6103 7164 8341 9640 11067 | +| 200 | MotzkinGF:Inv:Rev | PolyCol2 | A106853 | 1 -1 -3 7 5 -33 13 119 -171 -305 989 231 -4187 3263 13485 -26537 -27403 133551 -23939 -510265 | +| 201 | MotzkinGF:Inv:Rev | PolyCol3 | A025170 | 1 -2 -5 28 -11 -230 559 952 -6935 5302 51811 -151340 -163619 1689298 -1906025 -11391632 39937489 | +| 202 | MotzkinGF:Inv:Rev | PolyDiag | missing | 1 0 -3 28 -95 -2124 50869 -356376 -11097855 430015960 -4586784499 -186333758940 9987890296033 | \ No newline at end of file diff --git a/data/md/Narayana.md b/data/md/Narayana.md index 5e7b21f..e88c36d 100644 --- a/data/md/Narayana.md +++ b/data/md/Narayana.md @@ -40,117 +40,157 @@ | 37 | Narayana:Std | PolyCol2 | A006318 | 1 2 6 22 90 394 1806 8558 41586 206098 1037718 5293446 27297738 142078746 745387038 3937603038 | | 38 | Narayana:Std | PolyCol3 | A047891 | 1 3 12 57 300 1686 9912 60213 374988 2381322 15361896 100389306 663180024 4421490924 29712558576 | | 39 | Narayana:Std | PolyDiag | missing | 1 1 6 57 740 12130 239442 5516133 145043208 4281280686 140046944510 5025026633946 196122756175788 | -| 40 | Narayana:Rev | Triangle | A131198 | 1 1 0 1 1 0 1 3 1 0 1 6 6 1 0 1 10 20 10 1 0 1 15 50 50 15 1 0 1 21 105 175 105 21 1 0 1 28 196 490 | -| 41 | Narayana:Rev | InvRev | A121434 | 1 0 1 0 -1 1 0 2 -3 1 0 -7 12 -6 1 0 39 -70 40 -10 1 0 -321 585 -350 100 -15 1 0 3681 -6741 4095 | -| 42 | Narayana:Rev | Acc | missing | 1 1 1 1 2 2 1 4 5 5 1 7 13 14 14 1 11 31 41 42 42 1 16 66 116 131 132 132 1 22 127 302 407 428 429 | -| 43 | Narayana:Rev | AccRev | A349740 | 1 0 1 0 1 2 0 1 4 5 0 1 7 13 14 0 1 11 31 41 42 0 1 16 66 116 131 132 0 1 22 127 302 407 428 429 0 | -| 44 | Narayana:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 3 0 1 6 1 1 10 6 0 1 15 20 1 1 21 50 10 0 1 28 105 50 1 1 36 196 175 15 0 1 45 336 | -| 45 | Narayana:Rev | Diffx1 | A367270 | 1 1 0 1 2 0 1 6 3 0 1 12 18 4 0 1 20 60 40 5 0 1 30 150 200 75 6 0 1 42 315 700 525 126 7 0 1 56 | -| 46 | Narayana:Rev | RowSum | A000108 | 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | -| 47 | Narayana:Rev | EvenSum | A071684 | 1 1 1 2 7 22 66 212 715 2438 8398 29372 104006 371516 1337220 4847208 17678835 64823110 238819350 | -| 48 | Narayana:Rev | OddSum | A071688 | 0 0 1 3 7 20 66 217 715 2424 8398 29414 104006 371384 1337220 4847637 17678835 64821680 238819350 | -| 49 | Narayana:Rev | AltSum | A090192 | 1 1 0 -1 0 2 0 -5 0 14 0 -42 0 132 0 -429 0 1430 0 -4862 0 16796 0 -58786 0 208012 0 -742900 0 | -| 50 | Narayana:Rev | DiagSum | A004148 | 1 1 1 2 4 8 17 37 82 185 423 978 2283 5373 12735 30372 72832 175502 424748 1032004 2516347 6155441 | -| 51 | Narayana:Rev | AccSum | A189176 | 1 2 5 15 49 168 594 2145 7865 29172 109174 411502 1560090 5943200 22732740 87253605 335897865 | -| 52 | Narayana:Rev | AccRevSum | A088218 | 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | -| 53 | Narayana:Rev | RowLcm | missing | 1 1 1 3 6 20 150 525 980 7056 52920 485100 4573800 3397680 5153148 135270135 1803601800 27254427200 | -| 54 | Narayana:Rev | RowGcd | missing | 1 1 1 3 6 10 5 7 14 12 9 11 11 13 13 1 2 68 17 19 19 1 1 23 23 5 25 3 9 29 29 31 | -| 55 | Narayana:Rev | RowMax | A005558 | 1 1 1 3 6 20 50 175 490 1764 5292 19404 60984 226512 736164 2760615 9202050 34763300 118195220 | -| 56 | Narayana:Rev | ColMiddle | A005558 | 1 1 1 3 6 20 50 175 490 1764 5292 19404 60984 226512 736164 2760615 9202050 34763300 118195220 | -| 57 | Narayana:Rev | CentralE | A125558 | 1 1 6 50 490 5292 60984 736164 9202050 118195220 1551580888 20734762776 281248448936 3863302870000 | -| 58 | Narayana:Rev | CentralO | A000891 | 1 3 20 175 1764 19404 226512 2760615 34763300 449141836 5924217936 79483257308 1081724803600 | -| 59 | Narayana:Rev | BinConv | missing | 1 1 3 13 65 356 2072 12601 79221 511174 3368090 22577160 153534680 1056945280 7352977504 | -| 60 | Narayana:Rev | InvBinConv | missing | 1 -1 -1 5 9 -56 -120 825 1925 -14014 -34398 259896 659736 -5116320 -13302432 105172353 278397405 | -| 61 | Narayana:Rev | TransNat0 | B002054 | 0 0 1 5 21 84 330 1287 5005 19448 75582 293930 1144066 4457400 17383860 67863915 265182525 | -| 62 | Narayana:Rev | TransNat1 | A088218 | 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | -| 63 | Narayana:Rev | TransSqrs | A034267 | 0 0 1 7 39 196 930 4257 19019 83512 361998 1553630 6615686 27992472 117823940 493768485 2061580275 | -| 64 | Narayana:Rev | PosHalf | A006318 | 1 2 6 22 90 394 1806 8558 41586 206098 1037718 5293446 27297738 142078746 745387038 3937603038 | -| 65 | Narayana:Rev | NegHalf | A125695 | 1 -2 2 2 -10 6 42 -102 -82 782 -814 -3854 12454 5014 -98694 142218 472158 -1932258 -19038 14816994 | -| 66 | Narayana:Rev | DiagRow2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | -| 67 | Narayana:Rev | DiagRow3 | B002415 | 1 6 20 50 105 196 336 540 825 1210 1716 2366 3185 4200 5440 6936 8721 10830 13300 16170 19481 23276 | -| 68 | Narayana:Rev | DiagCol1 | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | -| 69 | Narayana:Rev | DiagCol2 | B002415 | 0 1 6 20 50 105 196 336 540 825 1210 1716 2366 3185 4200 5440 6936 8721 10830 13300 16170 19481 | -| 70 | Narayana:Rev | DiagCol3 | A006542 | 0 1 10 50 175 490 1176 2520 4950 9075 15730 26026 41405 63700 95200 138720 197676 276165 379050 | -| 71 | Narayana:Rev | Poly | A008550 | 1 1 1 1 1 1 1 2 1 1 1 5 3 1 1 1 14 11 4 1 1 1 42 45 19 5 1 1 1 132 197 100 29 6 1 1 1 429 903 562 | -| 72 | Narayana:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 73 | Narayana:Rev | PolyRow3 | A028387 | 1 5 11 19 29 41 55 71 89 109 131 155 181 209 239 271 305 341 379 419 461 505 551 599 649 701 755 | -| 74 | Narayana:Rev | PolyCol2 | A001003 | 1 1 3 11 45 197 903 4279 20793 103049 518859 2646723 13648869 71039373 372693519 1968801519 | -| 75 | Narayana:Rev | PolyCol3 | A007564 | 1 1 4 19 100 562 3304 20071 124996 793774 5120632 33463102 221060008 1473830308 9904186192 | -| 76 | Narayana:Rev | PolyDiag | A242369 | 1 1 3 19 185 2426 39907 788019 18130401 475697854 14004694451 456820603086 16343563014649 | -| 77 | Narayana:Inv | Triangle | A121434 | 1 0 1 0 -1 1 0 2 -3 1 0 -7 12 -6 1 0 39 -70 40 -10 1 0 -321 585 -350 100 -15 1 0 3681 -6741 4095 | -| 78 | Narayana:Inv | Rev | missing | 1 1 0 1 -1 0 1 -3 2 0 1 -6 12 -7 0 1 -10 40 -70 39 0 1 -15 100 -350 585 -321 0 1 -21 210 -1225 4095 | -| 79 | Narayana:Inv | RevInv | A131198 | 1 1 0 1 1 0 1 3 1 0 1 6 6 1 0 1 10 20 10 1 0 1 15 50 50 15 1 0 1 21 105 175 105 21 1 0 1 28 196 490 | -| 80 | Narayana:Inv | Acc | missing | 1 0 1 0 -1 0 0 2 -1 0 0 -7 5 -1 0 0 39 -31 9 -1 0 0 -321 264 -86 14 -1 0 0 3681 -3060 1035 -190 20 | -| 81 | Narayana:Inv | AccRev | missing | 1 1 1 1 0 0 1 -2 0 0 1 -5 7 0 0 1 -9 31 -39 0 0 1 -14 86 -264 321 0 0 1 -20 190 -1035 3060 -3681 0 | -| 82 | Narayana:Inv | AntiDiag | missing | 1 0 0 1 0 -1 0 2 1 0 -7 -3 0 39 12 1 0 -321 -70 -6 0 3681 585 40 1 0 -56197 -6741 -350 -10 0 | -| 83 | Narayana:Inv | Diffx1 | missing | 1 0 2 0 -2 3 0 4 -9 4 0 -14 36 -24 5 0 78 -210 160 -50 6 0 -642 1755 -1400 500 -90 7 0 7362 -20223 | -| 84 | Narayana:Inv | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 85 | Narayana:Inv | EvenSum | missing | 1 0 1 -3 13 -80 686 -7987 122571 -2408856 59099284 -1771445324 63708974748 -2707745497184 | -| 86 | Narayana:Inv | OddSum | missing | 0 1 -1 3 -13 80 -686 7987 -122571 2408856 -59099284 1771445324 -63708974748 2707745497184 | -| 87 | Narayana:Inv | AltSum | A103367 | 1 -1 2 -6 26 -160 1372 -15974 245142 -4817712 118198568 -3542890648 127417949496 -5415490994368 | -| 88 | Narayana:Inv | DiagSum | missing | 1 0 1 -1 3 -10 52 -397 4307 -63298 1209835 -29123735 861135230 -30656964145 1292847813913 | -| 89 | Narayana:Inv | AccSum | B131490 | 1 1 -1 1 -3 16 -130 1485 -22645 444136 -10889676 326345460 -11736144420 498798542880 | -| 90 | Narayana:Inv | AccRevSum | B131490 | 1 2 1 -1 3 -16 130 -1485 22645 -444136 10889676 -326345460 11736144420 -498798542880 24732729791484 | -| 91 | Narayana:Inv | RowLcm | missing | 1 1 1 6 84 10920 8763300 12544663950 3947845887989640 10446672932559900874656 | -| 92 | Narayana:Inv | RowMax | B103366 | 1 1 1 3 12 70 585 6741 103068 2023092 49615695 1487006785 53477384268 2272859942574 112699083156751 | -| 93 | Narayana:Inv | ColMiddle | missing | 1 0 -1 2 12 -70 -350 4095 19110 -377496 -1698732 51018660 224482104 -9546971148 -41370208308 | -| 94 | Narayana:Inv | CentralE | missing | 1 -1 12 -350 19110 -1698732 224482104 -41370208308 10145913470550 -3195583528992140 | -| 95 | Narayana:Inv | CentralO | missing | 0 2 -70 4095 -377496 51018660 -9546971148 2367379809795 -751902006821680 297755337453806232 | -| 96 | Narayana:Inv | BinConv | missing | 1 1 -1 -2 21 -154 1260 -11080 69405 1420552 -118046628 6282922086 -325932371226 17821090063128 | -| 97 | Narayana:Inv | InvBinConv | missing | 1 1 3 16 125 1346 19292 358086 8399757 243595792 8566209740 359216007162 17706825237686 | -| 98 | Narayana:Inv | TransNat0 | B131490 | 0 1 1 -1 3 -16 130 -1485 22645 -444136 10889676 -326345460 11736144420 -498798542880 24732729791484 | -| 99 | Narayana:Inv | TransNat1 | B131490 | 1 2 1 -1 3 -16 130 -1485 22645 -444136 10889676 -326345460 11736144420 -498798542880 24732729791484 | -| 100 | Narayana:Inv | TransSqrs | B131490 | 0 1 3 -1 3 -16 130 -1485 22645 -444136 10889676 -326345460 11736144420 -498798542880 24732729791484 | -| 101 | Narayana:Inv | PosHalf | missing | 1 1 -1 3 -19 205 -3341 76391 -2330343 91416249 -4482922489 268693075915 -19325695148475 | -| 102 | Narayana:Inv | NegHalf | missing | 1 1 3 15 117 1365 22863 527499 16137705 633619401 31080114747 1863000052551 133999138524573 | -| 103 | Narayana:Inv | DiagRow1 | A000217 | 0 -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 | -| 104 | Narayana:Inv | DiagRow2 | B008911 | 0 2 12 40 100 210 392 672 1080 1650 2420 3432 4732 6370 8400 10880 13872 17442 21660 26600 32340 | -| 105 | Narayana:Inv | DiagRow3 | missing | 0 -7 -70 -350 -1225 -3430 -8232 -17640 -34650 -63525 -110110 -182182 -289835 -445900 -666400 | -| 106 | Narayana:Inv | DiagCol1 | A103365 | 1 -1 2 -7 39 -321 3681 -56197 1102571 -27036487 810263398 -29139230033 1238451463261 | -| 107 | Narayana:Inv | DiagCol2 | A103366 | 1 -3 12 -70 585 -6741 103068 -2023092 49615695 -1487006785 53477384268 -2272859942574 | -| 108 | Narayana:Inv | DiagCol3 | missing | 1 -6 40 -350 4095 -62916 1236816 -30346380 909621075 -32714149270 1390411990968 -68943418258078 | -| 109 | Narayana:Inv | Poly | A060701 | 1 0 1 0 1 1 0 0 2 1 0 0 2 3 1 0 0 0 6 4 1 0 0 2 6 12 5 1 0 0 -10 6 24 20 6 1 0 0 82 0 36 60 30 7 1 | -| 110 | Narayana:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 111 | Narayana:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | -| 112 | Narayana:Inv | PolyRow3 | A007531 | 0 0 0 6 24 60 120 210 336 504 720 990 1320 1716 2184 2730 3360 4080 4896 5814 6840 7980 9240 10626 | -| 113 | Narayana:Inv | PolyCol2 | missing | 1 2 2 0 2 -10 82 -938 14310 -280698 6882638 -206263552 7417743918 -315262276030 15632160820694 | -| 114 | Narayana:Inv | PolyCol3 | missing | 1 3 6 6 6 0 36 -378 5802 -113808 2790744 -83636520 3007792200 -127834699200 6338638537848 | -| 115 | Narayana:Inv | PolyDiag | missing | 1 1 2 6 36 320 3150 41202 631512 10346688 220824630 4468105400 113821871988 3261960374400 | -| 116 | Narayana:Inv:Rev | Triangle | missing | 1 1 0 1 -1 0 1 -3 2 0 1 -6 12 -7 0 1 -10 40 -70 39 0 1 -15 100 -350 585 -321 0 1 -21 210 -1225 4095 | -| 117 | Narayana:Inv:Rev | Rev | A121434 | 1 0 1 0 -1 1 0 2 -3 1 0 -7 12 -6 1 0 39 -70 40 -10 1 0 -321 585 -350 100 -15 1 0 3681 -6741 4095 | -| 118 | Narayana:Inv:Rev | InvRev | A090181 | 1 0 1 0 1 1 0 1 3 1 0 1 6 6 1 0 1 10 20 10 1 0 1 15 50 50 15 1 0 1 21 105 175 105 21 1 0 1 28 196 | -| 119 | Narayana:Inv:Rev | Acc | missing | 1 1 1 1 0 0 1 -2 0 0 1 -5 7 0 0 1 -9 31 -39 0 0 1 -14 86 -264 321 0 0 1 -20 190 -1035 3060 -3681 0 | -| 120 | Narayana:Inv:Rev | AccRev | missing | 1 0 1 0 -1 0 0 2 -1 0 0 -7 5 -1 0 0 39 -31 9 -1 0 0 -321 264 -86 14 -1 0 0 3681 -3060 1035 -190 20 | -| 121 | Narayana:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -1 1 -3 0 1 -6 2 1 -10 12 0 1 -15 40 -7 1 -21 100 -70 0 1 -28 210 -350 39 1 -36 392 -1225 | -| 122 | Narayana:Inv:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 -6 6 0 1 -12 36 -28 0 1 -20 120 -280 195 0 1 -30 300 -1400 2925 -1926 0 1 -42 630 | -| 123 | Narayana:Inv:Rev | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 124 | Narayana:Inv:Rev | EvenSum | missing | 1 1 1 3 13 80 686 7987 122571 2408856 59099284 1771445324 63708974748 2707745497184 134263189722052 | -| 125 | Narayana:Inv:Rev | OddSum | missing | 0 0 -1 -3 -13 -80 -686 -7987 -122571 -2408856 -59099284 -1771445324 -63708974748 -2707745497184 | -| 126 | Narayana:Inv:Rev | AltSum | A103367 | 1 1 2 6 26 160 1372 15974 245142 4817712 118198568 3542890648 127417949496 5415490994368 | -| 127 | Narayana:Inv:Rev | DiagSum | missing | 1 1 1 0 -2 -3 3 19 10 -128 -283 972 5163 -6494 -100347 -37756 2192992 4783671 -53309108 -247204964 | -| 128 | Narayana:Inv:Rev | AccSum | B131490 | 1 2 1 -1 3 -16 130 -1485 22645 -444136 10889676 -326345460 11736144420 -498798542880 24732729791484 | -| 129 | Narayana:Inv:Rev | AccRevSum | B131490 | 1 1 -1 1 -3 16 -130 1485 -22645 444136 -10889676 326345460 -11736144420 498798542880 | -| 130 | Narayana:Inv:Rev | RowLcm | missing | 1 1 1 6 84 10920 8763300 12544663950 3947845887989640 10446672932559900874656 | -| 131 | Narayana:Inv:Rev | RowMax | B103366 | 1 1 1 3 12 70 585 6741 103068 2023092 49615695 1487006785 53477384268 2272859942574 112699083156751 | -| 132 | Narayana:Inv:Rev | ColMiddle | missing | 1 1 -1 -3 12 40 -350 -1225 19110 68796 -1698732 -6228684 224482104 833790672 -41370208308 | -| 133 | Narayana:Inv:Rev | CentralE | missing | 1 -1 12 -350 19110 -1698732 224482104 -41370208308 10145913470550 -3195583528992140 | -| 134 | Narayana:Inv:Rev | CentralO | missing | 1 -3 40 -1225 68796 -6228684 833790672 -155138281155 38329006444300 -12143217410170132 | -| 135 | Narayana:Inv:Rev | BinConv | missing | 1 1 -1 -2 21 -154 1260 -11080 69405 1420552 -118046628 6282922086 -325932371226 17821090063128 | -| 136 | Narayana:Inv:Rev | InvBinConv | missing | 1 -1 3 -16 125 -1346 19292 -358086 8399757 -243595792 8566209740 -359216007162 17706825237686 | -| 137 | Narayana:Inv:Rev | TransNat0 | B131490 | 0 0 -1 1 -3 16 -130 1485 -22645 444136 -10889676 326345460 -11736144420 498798542880 | -| 138 | Narayana:Inv:Rev | TransNat1 | B131490 | 1 1 -1 1 -3 16 -130 1485 -22645 444136 -10889676 326345460 -11736144420 498798542880 | -| 139 | Narayana:Inv:Rev | TransSqrs | missing | 0 0 -1 5 -21 144 -1430 19305 -339675 7550312 -206903844 6853254660 -269931321660 12469963572000 | -| 140 | Narayana:Inv:Rev | PosHalf | missing | 1 2 2 0 2 -10 82 -938 14310 -280698 6882638 -206263552 7417743918 -315262276030 15632160820694 | -| 141 | Narayana:Inv:Rev | NegHalf | missing | 1 -2 6 -24 126 -870 7926 -94878 1472442 -29056038 713851434 -21406520520 769978976850 | -| 142 | Narayana:Inv:Rev | DiagRow1 | A103365 | 1 -1 2 -7 39 -321 3681 -56197 1102571 -27036487 810263398 -29139230033 1238451463261 | -| 143 | Narayana:Inv:Rev | DiagRow2 | A103366 | 1 -3 12 -70 585 -6741 103068 -2023092 49615695 -1487006785 53477384268 -2272859942574 | -| 144 | Narayana:Inv:Rev | DiagRow3 | missing | 1 -6 40 -350 4095 -62916 1236816 -30346380 909621075 -32714149270 1390411990968 -68943418258078 | -| 145 | Narayana:Inv:Rev | DiagCol1 | A000217 | 0 -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 | -| 146 | Narayana:Inv:Rev | DiagCol2 | B008911 | 0 2 12 40 100 210 392 672 1080 1650 2420 3432 4732 6370 8400 10880 13872 17442 21660 26600 32340 | -| 147 | Narayana:Inv:Rev | DiagCol3 | missing | 0 -7 -70 -350 -1225 -3430 -8232 -17640 -34650 -63525 -110110 -182182 -289835 -445900 -666400 | -| 148 | Narayana:Inv:Rev | Poly | A071024 | 1 1 1 1 1 1 1 0 1 1 1 0 -1 1 1 1 0 3 -2 1 1 1 0 -19 10 -3 1 1 1 0 205 -98 21 -4 1 1 1 0 -3341 1600 | -| 149 | Narayana:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 150 | Narayana:Inv:Rev | PolyRow3 | A014105 | 1 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | -| 151 | Narayana:Inv:Rev | PolyCol2 | missing | 1 1 -1 3 -19 205 -3341 76391 -2330343 91416249 -4482922489 268693075915 -19325695148475 | -| 152 | Narayana:Inv:Rev | PolyCol3 | missing | 1 1 -2 10 -98 1600 -39212 1345834 -61596110 3624729616 -266632381448 23971865555176 | -| 153 | Narayana:Inv:Rev | PolyDiag | missing | 1 1 -1 10 -279 16576 -1810025 329192046 -92820081375 38421129293632 -22369273006852449 | \ No newline at end of file +| 40 | Narayana:Alt | Triangle | A090181 | 1 0 -1 0 -1 1 0 -1 3 -1 0 -1 6 -6 1 0 -1 10 -20 10 -1 0 -1 15 -50 50 -15 1 0 -1 21 -105 175 -105 21 | +| 41 | Narayana:Alt | Rev | A131198 | 1 -1 0 1 -1 0 -1 3 -1 0 1 -6 6 -1 0 -1 10 -20 10 -1 0 1 -15 50 -50 15 -1 0 -1 21 -105 175 -105 21 | +| 42 | Narayana:Alt | Inv | missing | 1 0 1 0 1 1 0 -2 -3 1 0 -17 -24 6 1 0 121 170 -40 -10 1 0 2551 3585 -850 -200 15 1 0 -38121 -53571 | +| 43 | Narayana:Alt | RevInv | missing | 1 1 0 1 1 0 1 -3 -2 0 1 6 -24 -17 0 1 -10 -40 170 121 0 1 15 -200 -850 3585 2551 0 1 -21 -210 2975 | +| 44 | Narayana:Alt | Acc | missing | 1 0 -1 0 -1 0 0 -1 2 1 0 -1 5 -1 0 0 -1 9 -11 -1 -2 0 -1 14 -36 14 -1 0 0 -1 20 -85 90 -15 6 5 0 -1 | +| 45 | Narayana:Alt | AccRev | missing | 1 -1 -1 1 0 0 -1 2 1 1 1 -5 1 0 0 -1 9 -11 -1 -2 -2 1 -14 36 -14 1 0 0 -1 20 -85 90 -15 6 5 5 1 -27 | +| 46 | Narayana:Alt | AntiDiag | missing | 1 0 0 -1 0 -1 0 -1 1 0 -1 3 0 -1 6 -1 0 -1 10 -6 0 -1 15 -20 1 0 -1 21 -50 10 0 -1 28 -105 50 -1 0 | +| 47 | Narayana:Alt | Diffx1 | missing | 1 0 -2 0 -2 3 0 -2 9 -4 0 -2 18 -24 5 0 -2 30 -80 50 -6 0 -2 45 -200 250 -90 7 0 -2 63 -420 875 | +| 48 | Narayana:Alt | RowSum | A090192 | 1 -1 0 1 0 -2 0 5 0 -14 0 42 0 -132 0 429 0 -1430 0 4862 0 -16796 0 58786 0 -208012 0 742900 0 | +| 49 | Narayana:Alt | EvenSum | A071688 | 1 0 1 3 7 20 66 217 715 2424 8398 29414 104006 371384 1337220 4847637 17678835 64821680 238819350 | +| 50 | Narayana:Alt | OddSum | A071684 | 0 -1 -1 -2 -7 -22 -66 -212 -715 -2438 -8398 -29372 -104006 -371516 -1337220 -4847208 -17678835 | +| 51 | Narayana:Alt | AltSum | A000108 | 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | +| 52 | Narayana:Alt | DiagSum | B129509 | 1 0 -1 -1 0 2 4 3 -5 -20 -29 -1 94 221 191 -327 -1454 -2282 -162 8002 19902 18275 -30505 -143511 | +| 53 | Narayana:Alt | AccSum | A210736 | 1 -1 -1 2 3 -6 -10 20 35 -70 -126 252 462 -924 -1716 3432 6435 -12870 -24310 48620 92378 -184756 | +| 54 | Narayana:Alt | AccRevSum | missing | 1 -2 1 3 -3 -8 10 25 -35 -84 126 294 -462 -1056 1716 3861 -6435 -14300 24310 53482 -92378 -201552 | +| 55 | Narayana:Alt | RowLcm | missing | 1 1 1 3 6 20 150 525 980 7056 52920 485100 4573800 3397680 5153148 135270135 1803601800 27254427200 | +| 56 | Narayana:Alt | RowGcd | missing | 1 1 1 3 6 10 5 7 14 12 9 11 11 13 13 1 2 68 17 19 19 1 1 23 23 5 25 3 9 29 29 31 | +| 57 | Narayana:Alt | RowMax | A005558 | 1 1 1 3 6 20 50 175 490 1764 5292 19404 60984 226512 736164 2760615 9202050 34763300 118195220 | +| 58 | Narayana:Alt | ColMiddle | missing | 1 0 -1 -1 6 10 -50 -105 490 1176 -5292 -13860 60984 169884 -736164 -2147145 9202050 27810640 | +| 59 | Narayana:Alt | CentralE | A125558 | 1 -1 6 -50 490 -5292 60984 -736164 9202050 -118195220 1551580888 -20734762776 281248448936 | +| 60 | Narayana:Alt | CentralO | A046715 | 0 -1 10 -105 1176 -13860 169884 -2147145 27810640 -367479684 4936848280 -67255063876 927192688800 | +| 61 | Narayana:Alt | BinConv | missing | 1 -1 -1 5 9 -56 -120 825 1925 -14014 -34398 259896 659736 -5116320 -13302432 105172353 278397405 | +| 62 | Narayana:Alt | InvBinConv | missing | 1 -1 3 -13 65 -356 2072 -12601 79221 -511174 3368090 -22577160 153534680 -1056945280 7352977504 | +| 63 | Narayana:Alt | TransNat0 | A001405 | 0 -1 1 2 -3 -6 10 20 -35 -70 126 252 -462 -924 1716 3432 -6435 -12870 24310 48620 -92378 -184756 | +| 64 | Narayana:Alt | TransNat1 | missing | 1 -2 1 3 -3 -8 10 25 -35 -84 126 294 -462 -1056 1716 3861 -6435 -14300 24310 53482 -92378 -201552 | +| 65 | Narayana:Alt | TransSqrs | missing | 0 -1 3 2 -15 -6 70 20 -315 -70 1386 252 -6006 -924 25740 3432 -109395 -12870 461890 48620 -1939938 | +| 66 | Narayana:Alt | PosHalf | A154825 | 1 -1 -1 1 5 3 -21 -51 41 391 407 -1927 -6227 2507 49347 71109 -236079 -966129 9519 7408497 13685205 | +| 67 | Narayana:Alt | NegHalf | A001003 | 1 -1 3 -11 45 -197 903 -4279 20793 -103049 518859 -2646723 13648869 -71039373 372693519 -1968801519 | +| 68 | Narayana:Alt | DiagRow1 | A000217 | 0 -1 3 -6 10 -15 21 -28 36 -45 55 -66 78 -91 105 -120 136 -153 171 -190 210 -231 253 -276 300 -325 | +| 69 | Narayana:Alt | DiagRow2 | B002415 | 0 -1 6 -20 50 -105 196 -336 540 -825 1210 -1716 2366 -3185 4200 -5440 6936 -8721 10830 -13300 16170 | +| 70 | Narayana:Alt | DiagRow3 | A006542 | 0 -1 10 -50 175 -490 1176 -2520 4950 -9075 15730 -26026 41405 -63700 95200 -138720 197676 -276165 | +| 71 | Narayana:Alt | DiagCol2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 72 | Narayana:Alt | DiagCol3 | B002415 | -1 -6 -20 -50 -105 -196 -336 -540 -825 -1210 -1716 -2366 -3185 -4200 -5440 -6936 -8721 -10830 | +| 73 | Narayana:Alt | Poly | missing | 1 0 1 0 -1 1 0 0 -2 1 0 1 2 -3 1 0 0 2 6 -4 1 0 -2 -10 -3 12 -5 1 0 0 6 -30 -20 20 -6 1 0 5 42 114 | +| 74 | Narayana:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | Narayana:Alt | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 76 | Narayana:Alt | PolyRow3 | B318765 | 0 1 2 -3 -20 -55 -114 -203 -328 -495 -710 -979 -1308 -1703 -2170 -2715 -3344 -4063 -4878 -5795 | +| 77 | Narayana:Alt | PolyCol2 | A125695 | 1 -2 2 2 -10 6 42 -102 -82 782 -814 -3854 12454 5014 -98694 142218 472158 -1932258 -19038 14816994 | +| 78 | Narayana:Alt | PolyCol3 | missing | 1 -3 6 -3 -30 114 -84 -867 3786 -3162 -33132 153906 -136812 -1446204 6957528 -6420387 -68260134 | +| 79 | Narayana:Alt | PolyDiag | missing | 1 -1 2 -3 -36 870 -15450 267533 -4710664 83469762 -1412535510 19138692562 9041033364 | +| 80 | Narayana:Rev | Triangle | A131198 | 1 1 0 1 1 0 1 3 1 0 1 6 6 1 0 1 10 20 10 1 0 1 15 50 50 15 1 0 1 21 105 175 105 21 1 0 1 28 196 490 | +| 81 | Narayana:Rev | InvRev | A121434 | 1 0 1 0 -1 1 0 2 -3 1 0 -7 12 -6 1 0 39 -70 40 -10 1 0 -321 585 -350 100 -15 1 0 3681 -6741 4095 | +| 82 | Narayana:Rev | Acc | missing | 1 1 1 1 2 2 1 4 5 5 1 7 13 14 14 1 11 31 41 42 42 1 16 66 116 131 132 132 1 22 127 302 407 428 429 | +| 83 | Narayana:Rev | AccRev | A349740 | 1 0 1 0 1 2 0 1 4 5 0 1 7 13 14 0 1 11 31 41 42 0 1 16 66 116 131 132 0 1 22 127 302 407 428 429 0 | +| 84 | Narayana:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 3 0 1 6 1 1 10 6 0 1 15 20 1 1 21 50 10 0 1 28 105 50 1 1 36 196 175 15 0 1 45 336 | +| 85 | Narayana:Rev | Diffx1 | A367270 | 1 1 0 1 2 0 1 6 3 0 1 12 18 4 0 1 20 60 40 5 0 1 30 150 200 75 6 0 1 42 315 700 525 126 7 0 1 56 | +| 86 | Narayana:Rev | RowSum | A000108 | 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845 35357670 129644790 | +| 87 | Narayana:Rev | EvenSum | A071684 | 1 1 1 2 7 22 66 212 715 2438 8398 29372 104006 371516 1337220 4847208 17678835 64823110 238819350 | +| 88 | Narayana:Rev | OddSum | A071688 | 0 0 1 3 7 20 66 217 715 2424 8398 29414 104006 371384 1337220 4847637 17678835 64821680 238819350 | +| 89 | Narayana:Rev | AltSum | A090192 | 1 1 0 -1 0 2 0 -5 0 14 0 -42 0 132 0 -429 0 1430 0 -4862 0 16796 0 -58786 0 208012 0 -742900 0 | +| 90 | Narayana:Rev | DiagSum | A004148 | 1 1 1 2 4 8 17 37 82 185 423 978 2283 5373 12735 30372 72832 175502 424748 1032004 2516347 6155441 | +| 91 | Narayana:Rev | AccSum | A189176 | 1 2 5 15 49 168 594 2145 7865 29172 109174 411502 1560090 5943200 22732740 87253605 335897865 | +| 92 | Narayana:Rev | AccRevSum | A088218 | 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | +| 93 | Narayana:Rev | RowLcm | missing | 1 1 1 3 6 20 150 525 980 7056 52920 485100 4573800 3397680 5153148 135270135 1803601800 27254427200 | +| 94 | Narayana:Rev | RowGcd | missing | 1 1 1 3 6 10 5 7 14 12 9 11 11 13 13 1 2 68 17 19 19 1 1 23 23 5 25 3 9 29 29 31 | +| 95 | Narayana:Rev | RowMax | A005558 | 1 1 1 3 6 20 50 175 490 1764 5292 19404 60984 226512 736164 2760615 9202050 34763300 118195220 | +| 96 | Narayana:Rev | ColMiddle | A005558 | 1 1 1 3 6 20 50 175 490 1764 5292 19404 60984 226512 736164 2760615 9202050 34763300 118195220 | +| 97 | Narayana:Rev | CentralE | A125558 | 1 1 6 50 490 5292 60984 736164 9202050 118195220 1551580888 20734762776 281248448936 3863302870000 | +| 98 | Narayana:Rev | CentralO | A000891 | 1 3 20 175 1764 19404 226512 2760615 34763300 449141836 5924217936 79483257308 1081724803600 | +| 99 | Narayana:Rev | BinConv | missing | 1 1 3 13 65 356 2072 12601 79221 511174 3368090 22577160 153534680 1056945280 7352977504 | +| 100 | Narayana:Rev | InvBinConv | missing | 1 -1 -1 5 9 -56 -120 825 1925 -14014 -34398 259896 659736 -5116320 -13302432 105172353 278397405 | +| 101 | Narayana:Rev | TransNat0 | B002054 | 0 0 1 5 21 84 330 1287 5005 19448 75582 293930 1144066 4457400 17383860 67863915 265182525 | +| 102 | Narayana:Rev | TransNat1 | A088218 | 1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 20058300 77558760 300540195 | +| 103 | Narayana:Rev | TransSqrs | A034267 | 0 0 1 7 39 196 930 4257 19019 83512 361998 1553630 6615686 27992472 117823940 493768485 2061580275 | +| 104 | Narayana:Rev | PosHalf | A006318 | 1 2 6 22 90 394 1806 8558 41586 206098 1037718 5293446 27297738 142078746 745387038 3937603038 | +| 105 | Narayana:Rev | NegHalf | A125695 | 1 -2 2 2 -10 6 42 -102 -82 782 -814 -3854 12454 5014 -98694 142218 472158 -1932258 -19038 14816994 | +| 106 | Narayana:Rev | DiagRow2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 107 | Narayana:Rev | DiagRow3 | B002415 | 1 6 20 50 105 196 336 540 825 1210 1716 2366 3185 4200 5440 6936 8721 10830 13300 16170 19481 23276 | +| 108 | Narayana:Rev | DiagCol1 | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | +| 109 | Narayana:Rev | DiagCol2 | B002415 | 0 1 6 20 50 105 196 336 540 825 1210 1716 2366 3185 4200 5440 6936 8721 10830 13300 16170 19481 | +| 110 | Narayana:Rev | DiagCol3 | A006542 | 0 1 10 50 175 490 1176 2520 4950 9075 15730 26026 41405 63700 95200 138720 197676 276165 379050 | +| 111 | Narayana:Rev | Poly | A008550 | 1 1 1 1 1 1 1 2 1 1 1 5 3 1 1 1 14 11 4 1 1 1 42 45 19 5 1 1 1 132 197 100 29 6 1 1 1 429 903 562 | +| 112 | Narayana:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 113 | Narayana:Rev | PolyRow3 | A028387 | 1 5 11 19 29 41 55 71 89 109 131 155 181 209 239 271 305 341 379 419 461 505 551 599 649 701 755 | +| 114 | Narayana:Rev | PolyCol2 | A001003 | 1 1 3 11 45 197 903 4279 20793 103049 518859 2646723 13648869 71039373 372693519 1968801519 | +| 115 | Narayana:Rev | PolyCol3 | A007564 | 1 1 4 19 100 562 3304 20071 124996 793774 5120632 33463102 221060008 1473830308 9904186192 | +| 116 | Narayana:Rev | PolyDiag | A242369 | 1 1 3 19 185 2426 39907 788019 18130401 475697854 14004694451 456820603086 16343563014649 | +| 117 | Narayana:Inv | Triangle | A121434 | 1 0 1 0 -1 1 0 2 -3 1 0 -7 12 -6 1 0 39 -70 40 -10 1 0 -321 585 -350 100 -15 1 0 3681 -6741 4095 | +| 118 | Narayana:Inv | Rev | missing | 1 1 0 1 -1 0 1 -3 2 0 1 -6 12 -7 0 1 -10 40 -70 39 0 1 -15 100 -350 585 -321 0 1 -21 210 -1225 4095 | +| 119 | Narayana:Inv | RevInv | A131198 | 1 1 0 1 1 0 1 3 1 0 1 6 6 1 0 1 10 20 10 1 0 1 15 50 50 15 1 0 1 21 105 175 105 21 1 0 1 28 196 490 | +| 120 | Narayana:Inv | Acc | missing | 1 0 1 0 -1 0 0 2 -1 0 0 -7 5 -1 0 0 39 -31 9 -1 0 0 -321 264 -86 14 -1 0 0 3681 -3060 1035 -190 20 | +| 121 | Narayana:Inv | AccRev | missing | 1 1 1 1 0 0 1 -2 0 0 1 -5 7 0 0 1 -9 31 -39 0 0 1 -14 86 -264 321 0 0 1 -20 190 -1035 3060 -3681 0 | +| 122 | Narayana:Inv | AntiDiag | missing | 1 0 0 1 0 -1 0 2 1 0 -7 -3 0 39 12 1 0 -321 -70 -6 0 3681 585 40 1 0 -56197 -6741 -350 -10 0 | +| 123 | Narayana:Inv | Diffx1 | missing | 1 0 2 0 -2 3 0 4 -9 4 0 -14 36 -24 5 0 78 -210 160 -50 6 0 -642 1755 -1400 500 -90 7 0 7362 -20223 | +| 124 | Narayana:Inv | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 125 | Narayana:Inv | EvenSum | missing | 1 0 1 -3 13 -80 686 -7987 122571 -2408856 59099284 -1771445324 63708974748 -2707745497184 | +| 126 | Narayana:Inv | OddSum | missing | 0 1 -1 3 -13 80 -686 7987 -122571 2408856 -59099284 1771445324 -63708974748 2707745497184 | +| 127 | Narayana:Inv | AltSum | A103367 | 1 -1 2 -6 26 -160 1372 -15974 245142 -4817712 118198568 -3542890648 127417949496 -5415490994368 | +| 128 | Narayana:Inv | DiagSum | missing | 1 0 1 -1 3 -10 52 -397 4307 -63298 1209835 -29123735 861135230 -30656964145 1292847813913 | +| 129 | Narayana:Inv | AccSum | B131490 | 1 1 -1 1 -3 16 -130 1485 -22645 444136 -10889676 326345460 -11736144420 498798542880 | +| 130 | Narayana:Inv | AccRevSum | B131490 | 1 2 1 -1 3 -16 130 -1485 22645 -444136 10889676 -326345460 11736144420 -498798542880 24732729791484 | +| 131 | Narayana:Inv | RowLcm | missing | 1 1 1 6 84 10920 8763300 12544663950 3947845887989640 10446672932559900874656 | +| 132 | Narayana:Inv | RowMax | B103366 | 1 1 1 3 12 70 585 6741 103068 2023092 49615695 1487006785 53477384268 2272859942574 112699083156751 | +| 133 | Narayana:Inv | ColMiddle | missing | 1 0 -1 2 12 -70 -350 4095 19110 -377496 -1698732 51018660 224482104 -9546971148 -41370208308 | +| 134 | Narayana:Inv | CentralE | missing | 1 -1 12 -350 19110 -1698732 224482104 -41370208308 10145913470550 -3195583528992140 | +| 135 | Narayana:Inv | CentralO | missing | 0 2 -70 4095 -377496 51018660 -9546971148 2367379809795 -751902006821680 297755337453806232 | +| 136 | Narayana:Inv | BinConv | missing | 1 1 -1 -2 21 -154 1260 -11080 69405 1420552 -118046628 6282922086 -325932371226 17821090063128 | +| 137 | Narayana:Inv | InvBinConv | missing | 1 1 3 16 125 1346 19292 358086 8399757 243595792 8566209740 359216007162 17706825237686 | +| 138 | Narayana:Inv | TransNat0 | B131490 | 0 1 1 -1 3 -16 130 -1485 22645 -444136 10889676 -326345460 11736144420 -498798542880 24732729791484 | +| 139 | Narayana:Inv | TransNat1 | B131490 | 1 2 1 -1 3 -16 130 -1485 22645 -444136 10889676 -326345460 11736144420 -498798542880 24732729791484 | +| 140 | Narayana:Inv | TransSqrs | B131490 | 0 1 3 -1 3 -16 130 -1485 22645 -444136 10889676 -326345460 11736144420 -498798542880 24732729791484 | +| 141 | Narayana:Inv | PosHalf | missing | 1 1 -1 3 -19 205 -3341 76391 -2330343 91416249 -4482922489 268693075915 -19325695148475 | +| 142 | Narayana:Inv | NegHalf | missing | 1 1 3 15 117 1365 22863 527499 16137705 633619401 31080114747 1863000052551 133999138524573 | +| 143 | Narayana:Inv | DiagRow1 | A000217 | 0 -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 | +| 144 | Narayana:Inv | DiagRow2 | B008911 | 0 2 12 40 100 210 392 672 1080 1650 2420 3432 4732 6370 8400 10880 13872 17442 21660 26600 32340 | +| 145 | Narayana:Inv | DiagRow3 | missing | 0 -7 -70 -350 -1225 -3430 -8232 -17640 -34650 -63525 -110110 -182182 -289835 -445900 -666400 | +| 146 | Narayana:Inv | DiagCol1 | A103365 | 1 -1 2 -7 39 -321 3681 -56197 1102571 -27036487 810263398 -29139230033 1238451463261 | +| 147 | Narayana:Inv | DiagCol2 | A103366 | 1 -3 12 -70 585 -6741 103068 -2023092 49615695 -1487006785 53477384268 -2272859942574 | +| 148 | Narayana:Inv | DiagCol3 | missing | 1 -6 40 -350 4095 -62916 1236816 -30346380 909621075 -32714149270 1390411990968 -68943418258078 | +| 149 | Narayana:Inv | Poly | A060701 | 1 0 1 0 1 1 0 0 2 1 0 0 2 3 1 0 0 0 6 4 1 0 0 2 6 12 5 1 0 0 -10 6 24 20 6 1 0 0 82 0 36 60 30 7 1 | +| 150 | Narayana:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 151 | Narayana:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 152 | Narayana:Inv | PolyRow3 | A007531 | 0 0 0 6 24 60 120 210 336 504 720 990 1320 1716 2184 2730 3360 4080 4896 5814 6840 7980 9240 10626 | +| 153 | Narayana:Inv | PolyCol2 | missing | 1 2 2 0 2 -10 82 -938 14310 -280698 6882638 -206263552 7417743918 -315262276030 15632160820694 | +| 154 | Narayana:Inv | PolyCol3 | missing | 1 3 6 6 6 0 36 -378 5802 -113808 2790744 -83636520 3007792200 -127834699200 6338638537848 | +| 155 | Narayana:Inv | PolyDiag | missing | 1 1 2 6 36 320 3150 41202 631512 10346688 220824630 4468105400 113821871988 3261960374400 | +| 156 | Narayana:Inv:Rev | Triangle | missing | 1 1 0 1 -1 0 1 -3 2 0 1 -6 12 -7 0 1 -10 40 -70 39 0 1 -15 100 -350 585 -321 0 1 -21 210 -1225 4095 | +| 157 | Narayana:Inv:Rev | Rev | A121434 | 1 0 1 0 -1 1 0 2 -3 1 0 -7 12 -6 1 0 39 -70 40 -10 1 0 -321 585 -350 100 -15 1 0 3681 -6741 4095 | +| 158 | Narayana:Inv:Rev | InvRev | A090181 | 1 0 1 0 1 1 0 1 3 1 0 1 6 6 1 0 1 10 20 10 1 0 1 15 50 50 15 1 0 1 21 105 175 105 21 1 0 1 28 196 | +| 159 | Narayana:Inv:Rev | Acc | missing | 1 1 1 1 0 0 1 -2 0 0 1 -5 7 0 0 1 -9 31 -39 0 0 1 -14 86 -264 321 0 0 1 -20 190 -1035 3060 -3681 0 | +| 160 | Narayana:Inv:Rev | AccRev | missing | 1 0 1 0 -1 0 0 2 -1 0 0 -7 5 -1 0 0 39 -31 9 -1 0 0 -321 264 -86 14 -1 0 0 3681 -3060 1035 -190 20 | +| 161 | Narayana:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -1 1 -3 0 1 -6 2 1 -10 12 0 1 -15 40 -7 1 -21 100 -70 0 1 -28 210 -350 39 1 -36 392 -1225 | +| 162 | Narayana:Inv:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 -6 6 0 1 -12 36 -28 0 1 -20 120 -280 195 0 1 -30 300 -1400 2925 -1926 0 1 -42 630 | +| 163 | Narayana:Inv:Rev | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 164 | Narayana:Inv:Rev | EvenSum | missing | 1 1 1 3 13 80 686 7987 122571 2408856 59099284 1771445324 63708974748 2707745497184 134263189722052 | +| 165 | Narayana:Inv:Rev | OddSum | missing | 0 0 -1 -3 -13 -80 -686 -7987 -122571 -2408856 -59099284 -1771445324 -63708974748 -2707745497184 | +| 166 | Narayana:Inv:Rev | AltSum | A103367 | 1 1 2 6 26 160 1372 15974 245142 4817712 118198568 3542890648 127417949496 5415490994368 | +| 167 | Narayana:Inv:Rev | DiagSum | missing | 1 1 1 0 -2 -3 3 19 10 -128 -283 972 5163 -6494 -100347 -37756 2192992 4783671 -53309108 -247204964 | +| 168 | Narayana:Inv:Rev | AccSum | B131490 | 1 2 1 -1 3 -16 130 -1485 22645 -444136 10889676 -326345460 11736144420 -498798542880 24732729791484 | +| 169 | Narayana:Inv:Rev | AccRevSum | B131490 | 1 1 -1 1 -3 16 -130 1485 -22645 444136 -10889676 326345460 -11736144420 498798542880 | +| 170 | Narayana:Inv:Rev | RowLcm | missing | 1 1 1 6 84 10920 8763300 12544663950 3947845887989640 10446672932559900874656 | +| 171 | Narayana:Inv:Rev | RowMax | B103366 | 1 1 1 3 12 70 585 6741 103068 2023092 49615695 1487006785 53477384268 2272859942574 112699083156751 | +| 172 | Narayana:Inv:Rev | ColMiddle | missing | 1 1 -1 -3 12 40 -350 -1225 19110 68796 -1698732 -6228684 224482104 833790672 -41370208308 | +| 173 | Narayana:Inv:Rev | CentralE | missing | 1 -1 12 -350 19110 -1698732 224482104 -41370208308 10145913470550 -3195583528992140 | +| 174 | Narayana:Inv:Rev | CentralO | missing | 1 -3 40 -1225 68796 -6228684 833790672 -155138281155 38329006444300 -12143217410170132 | +| 175 | Narayana:Inv:Rev | BinConv | missing | 1 1 -1 -2 21 -154 1260 -11080 69405 1420552 -118046628 6282922086 -325932371226 17821090063128 | +| 176 | Narayana:Inv:Rev | InvBinConv | missing | 1 -1 3 -16 125 -1346 19292 -358086 8399757 -243595792 8566209740 -359216007162 17706825237686 | +| 177 | Narayana:Inv:Rev | TransNat0 | B131490 | 0 0 -1 1 -3 16 -130 1485 -22645 444136 -10889676 326345460 -11736144420 498798542880 | +| 178 | Narayana:Inv:Rev | TransNat1 | B131490 | 1 1 -1 1 -3 16 -130 1485 -22645 444136 -10889676 326345460 -11736144420 498798542880 | +| 179 | Narayana:Inv:Rev | TransSqrs | missing | 0 0 -1 5 -21 144 -1430 19305 -339675 7550312 -206903844 6853254660 -269931321660 12469963572000 | +| 180 | Narayana:Inv:Rev | PosHalf | missing | 1 2 2 0 2 -10 82 -938 14310 -280698 6882638 -206263552 7417743918 -315262276030 15632160820694 | +| 181 | Narayana:Inv:Rev | NegHalf | missing | 1 -2 6 -24 126 -870 7926 -94878 1472442 -29056038 713851434 -21406520520 769978976850 | +| 182 | Narayana:Inv:Rev | DiagRow1 | A103365 | 1 -1 2 -7 39 -321 3681 -56197 1102571 -27036487 810263398 -29139230033 1238451463261 | +| 183 | Narayana:Inv:Rev | DiagRow2 | A103366 | 1 -3 12 -70 585 -6741 103068 -2023092 49615695 -1487006785 53477384268 -2272859942574 | +| 184 | Narayana:Inv:Rev | DiagRow3 | missing | 1 -6 40 -350 4095 -62916 1236816 -30346380 909621075 -32714149270 1390411990968 -68943418258078 | +| 185 | Narayana:Inv:Rev | DiagCol1 | A000217 | 0 -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 | +| 186 | Narayana:Inv:Rev | DiagCol2 | B008911 | 0 2 12 40 100 210 392 672 1080 1650 2420 3432 4732 6370 8400 10880 13872 17442 21660 26600 32340 | +| 187 | Narayana:Inv:Rev | DiagCol3 | missing | 0 -7 -70 -350 -1225 -3430 -8232 -17640 -34650 -63525 -110110 -182182 -289835 -445900 -666400 | +| 188 | Narayana:Inv:Rev | Poly | A071024 | 1 1 1 1 1 1 1 0 1 1 1 0 -1 1 1 1 0 3 -2 1 1 1 0 -19 10 -3 1 1 1 0 205 -98 21 -4 1 1 1 0 -3341 1600 | +| 189 | Narayana:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 190 | Narayana:Inv:Rev | PolyRow3 | A014105 | 1 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | +| 191 | Narayana:Inv:Rev | PolyCol2 | missing | 1 1 -1 3 -19 205 -3341 76391 -2330343 91416249 -4482922489 268693075915 -19325695148475 | +| 192 | Narayana:Inv:Rev | PolyCol3 | missing | 1 1 -2 10 -98 1600 -39212 1345834 -61596110 3624729616 -266632381448 23971865555176 | +| 193 | Narayana:Inv:Rev | PolyDiag | missing | 1 1 -1 10 -279 16576 -1810025 329192046 -92820081375 38421129293632 -22369273006852449 | \ No newline at end of file diff --git a/data/md/Naturals.md b/data/md/Naturals.md index 3ee90ed..88b4f4a 100644 --- a/data/md/Naturals.md +++ b/data/md/Naturals.md @@ -1,81 +1,121 @@ -| | triangle | trait | anum | seq | -|---:|:-------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | Naturals:Std | Triangle | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 | -| 1 | Naturals:Std | Rev | A038722 | 1 3 2 6 5 4 10 9 8 7 15 14 13 12 11 21 20 19 18 17 16 28 27 26 25 24 23 22 36 35 34 33 32 31 30 29 | -| 2 | Naturals:Std | Acc | missing | 1 2 5 4 9 15 7 15 24 34 11 23 36 50 65 16 33 51 70 90 111 22 45 69 94 120 147 175 29 59 90 122 155 | -| 3 | Naturals:Std | AccRev | missing | 1 3 5 6 11 15 10 19 27 34 15 29 42 54 65 21 41 60 78 95 111 28 55 81 106 130 153 175 36 71 105 138 | -| 4 | Naturals:Std | AntiDiag | A056536 | 1 2 4 3 7 5 11 8 6 16 12 9 22 17 13 10 29 23 18 14 37 30 24 19 15 46 38 31 25 20 56 47 39 32 26 21 | -| 5 | Naturals:Std | Diffx1 | missing | 1 2 6 4 10 18 7 16 27 40 11 24 39 56 75 16 34 54 76 100 126 22 46 72 100 130 162 196 29 60 93 128 | -| 6 | Naturals:Std | RowSum | B006003 | 1 5 15 34 65 111 175 260 369 505 671 870 1105 1379 1695 2056 2465 2925 3439 4010 4641 5335 6095 | -| 7 | Naturals:Std | EvenSum | B131474 | 1 2 10 16 39 54 100 128 205 250 366 432 595 686 904 1024 1305 1458 1810 2000 2431 2662 3180 3456 | -| 8 | Naturals:Std | OddSum | missing | 0 3 5 18 26 57 75 132 164 255 305 438 510 693 791 1032 1160 1467 1629 2010 2210 2673 2915 3468 3756 | -| 9 | Naturals:Std | AltSum | missing | 1 -1 5 -2 13 -3 25 -4 41 -5 61 -6 85 -7 113 -8 145 -9 181 -10 221 -11 265 -12 313 -13 365 -14 421 | -| 10 | Naturals:Std | DiagSum | A079824 | 1 2 7 12 25 37 62 84 125 160 221 272 357 427 540 632 777 894 1075 1220 1441 1617 1882 2092 2405 | -| 11 | Naturals:Std | AccSum | missing | 1 7 28 80 185 371 672 1128 1785 2695 3916 5512 7553 10115 13280 17136 21777 27303 33820 41440 50281 | -| 12 | Naturals:Std | AccRevSum | A132117 | 1 8 32 90 205 406 728 1212 1905 2860 4136 5798 7917 10570 13840 17816 22593 28272 34960 42770 51821 | -| 13 | Naturals:Std | RowLcm | A061431 | 1 6 60 2520 60060 1627920 124324200 1694579040 446626220040 73706596563600 177223661334720 | -| 14 | Naturals:Std | RowMax | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | -| 15 | Naturals:Std | ColMiddle | B000982 | 1 2 5 8 13 18 25 32 41 50 61 72 85 98 113 128 145 162 181 200 221 242 265 288 313 338 365 392 421 | -| 16 | Naturals:Std | CentralE | A001844 | 1 5 13 25 41 61 85 113 145 181 221 265 313 365 421 481 | -| 17 | Naturals:Std | CentralO | B001105 | 2 8 18 32 50 72 98 128 162 200 242 288 338 392 450 512 | -| 18 | Naturals:Std | ColLeft | A000124 | 1 2 4 7 11 16 22 29 37 46 56 67 79 92 106 121 137 154 172 191 211 232 254 277 301 326 352 379 407 | -| 19 | Naturals:Std | ColRight | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | -| 20 | Naturals:Std | BinConv | A084850 | 1 5 20 68 208 592 1600 4160 10496 25856 62464 148480 348160 806912 1851392 4210688 9502720 21299200 | -| 21 | Naturals:Std | InvBinConv | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 22 | Naturals:Std | TransNat0 | A152457 | 0 3 17 56 140 295 553 952 1536 2355 3465 4928 6812 9191 12145 15760 20128 25347 31521 38760 47180 | -| 23 | Naturals:Std | TransNat1 | A132117 | 1 8 32 90 205 406 728 1212 1905 2860 4136 5798 7917 10570 13840 17816 22593 28272 34960 42770 51821 | -| 24 | Naturals:Std | TransSqrs | missing | 0 3 29 134 430 1105 2443 4844 8844 15135 24585 38258 57434 83629 118615 164440 223448 298299 391989 | -| 25 | Naturals:Std | PosHalf | missing | 1 7 32 116 367 1065 2914 7642 19409 48071 116668 278448 655267 1523605 3506054 7995254 18087781 | -| 26 | Naturals:Std | NegHalf | missing | 1 -1 12 -32 119 -327 934 -2434 6273 -15569 38024 -90996 214843 -500587 1154202 -2635958 5971109 | -| 27 | Naturals:Std | DiagRow1 | B000096 | 2 5 9 14 20 27 35 44 54 65 77 90 104 119 135 152 170 189 209 230 252 275 299 324 350 377 405 434 | -| 28 | Naturals:Std | DiagRow2 | B034856 | 4 8 13 19 26 34 43 53 64 76 89 103 118 134 151 169 188 208 229 251 274 298 323 349 376 404 433 463 | -| 29 | Naturals:Std | DiagRow3 | B055998 | 7 12 18 25 33 42 52 63 75 88 102 117 133 150 168 187 207 228 250 273 297 322 348 375 403 432 462 | -| 30 | Naturals:Std | DiagCol1 | B152948 | 3 5 8 12 17 23 30 38 47 57 68 80 93 107 122 138 155 173 192 212 233 255 278 302 327 353 380 408 437 | -| 31 | Naturals:Std | DiagCol2 | A167614 | 6 9 13 18 24 31 39 48 58 69 81 94 108 123 139 156 174 193 213 234 256 279 303 328 354 381 409 438 | -| 32 | Naturals:Std | DiagCol3 | B145018 | 10 14 19 25 32 40 49 59 70 82 95 109 124 140 157 175 194 214 235 257 280 304 329 355 382 410 439 | -| 33 | Naturals:Std | Poly | missing | 1 2 1 4 5 1 7 15 8 1 11 34 38 11 1 16 65 139 73 14 1 22 111 439 382 120 17 1 29 175 1266 1757 823 | -| 34 | Naturals:Std | PolyRow1 | A016789 | 2 5 8 11 14 17 20 23 26 29 32 35 38 41 44 47 50 53 56 59 62 65 68 71 74 77 80 83 86 89 92 95 | -| 35 | Naturals:Std | PolyRow2 | missing | 4 15 38 73 120 179 250 333 428 535 654 785 928 1083 1250 1429 1620 1823 2038 2265 2504 2755 3018 | -| 36 | Naturals:Std | PolyRow3 | missing | 7 34 139 382 823 1522 2539 3934 5767 8098 10987 14494 18679 23602 29323 35902 43399 51874 61387 | -| 37 | Naturals:Std | PolyCol2 | missing | 1 8 38 139 439 1266 3436 8933 22493 55252 133066 315327 737203 1703846 3899288 8847241 19922809 | -| 38 | Naturals:Std | PolyCol3 | missing | 1 11 73 382 1757 7465 30061 116444 437929 1609063 5801537 20593306 72143077 249910085 857347141 | -| 39 | Naturals:Std | PolyDiag | missing | 1 5 38 382 5003 81051 1556440 34428668 860089109 23917161745 732098765426 24448357054650 | -| 40 | Naturals:Rev | Triangle | A038722 | 1 3 2 6 5 4 10 9 8 7 15 14 13 12 11 21 20 19 18 17 16 28 27 26 25 24 23 22 36 35 34 33 32 31 30 29 | -| 41 | Naturals:Rev | Acc | missing | 1 3 5 6 11 15 10 19 27 34 15 29 42 54 65 21 41 60 78 95 111 28 55 81 106 130 153 175 36 71 105 138 | -| 42 | Naturals:Rev | AccRev | missing | 1 2 5 4 9 15 7 15 24 34 11 23 36 50 65 16 33 51 70 90 111 22 45 69 94 120 147 175 29 59 90 122 155 | -| 43 | Naturals:Rev | AntiDiag | missing | 1 3 6 2 10 5 15 9 4 21 14 8 28 20 13 7 36 27 19 12 45 35 26 18 11 55 44 34 25 17 66 54 43 33 24 16 | -| 44 | Naturals:Rev | Diffx1 | missing | 1 3 4 6 10 12 10 18 24 28 15 28 39 48 55 21 40 57 72 85 96 28 54 78 100 120 138 154 36 70 102 132 | -| 45 | Naturals:Rev | RowSum | B006003 | 1 5 15 34 65 111 175 260 369 505 671 870 1105 1379 1695 2056 2465 2925 3439 4010 4641 5335 6095 | -| 46 | Naturals:Rev | EvenSum | missing | 1 3 10 18 39 57 100 132 205 255 366 438 595 693 904 1032 1305 1467 1810 2010 2431 2673 3180 3468 | -| 47 | Naturals:Rev | OddSum | missing | 0 2 5 16 26 54 75 128 164 250 305 432 510 686 791 1024 1160 1458 1629 2000 2210 2662 2915 3456 3756 | -| 48 | Naturals:Rev | AltSum | missing | 1 1 5 2 13 3 25 4 41 5 61 6 85 7 113 8 145 9 181 10 221 11 265 12 313 13 365 14 421 15 481 16 | -| 49 | Naturals:Rev | DiagSum | missing | 1 3 8 15 28 43 68 94 135 175 236 293 378 455 568 668 813 939 1120 1275 1496 1683 1948 2170 2483 | -| 50 | Naturals:Rev | AccSum | A132117 | 1 8 32 90 205 406 728 1212 1905 2860 4136 5798 7917 10570 13840 17816 22593 28272 34960 42770 51821 | -| 51 | Naturals:Rev | AccRevSum | missing | 1 7 28 80 185 371 672 1128 1785 2695 3916 5512 7553 10115 13280 17136 21777 27303 33820 41440 50281 | -| 52 | Naturals:Rev | RowLcm | A061431 | 1 6 60 2520 60060 1627920 124324200 1694579040 446626220040 73706596563600 177223661334720 | -| 53 | Naturals:Rev | RowMax | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | -| 54 | Naturals:Rev | ColMiddle | A080827 | 1 3 5 9 13 19 25 33 41 51 61 73 85 99 113 129 145 163 181 201 221 243 265 289 313 339 365 393 421 | -| 55 | Naturals:Rev | CentralE | A001844 | 1 5 13 25 41 61 85 113 145 181 221 265 313 365 421 481 | -| 56 | Naturals:Rev | CentralO | B058331 | 3 9 19 33 51 73 99 129 163 201 243 289 339 393 451 513 | -| 57 | Naturals:Rev | ColLeft | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | -| 58 | Naturals:Rev | ColRight | A000124 | 1 2 4 7 11 16 22 29 37 46 56 67 79 92 106 121 137 154 172 191 211 232 254 277 301 326 352 379 407 | -| 59 | Naturals:Rev | BinConv | A084850 | 1 5 20 68 208 592 1600 4160 10496 25856 62464 148480 348160 806912 1851392 4210688 9502720 21299200 | -| 60 | Naturals:Rev | InvBinConv | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 61 | Naturals:Rev | TransNat0 | A176060 | 0 2 13 46 120 260 497 868 1416 2190 3245 4642 6448 8736 11585 15080 19312 24378 30381 37430 45640 | -| 62 | Naturals:Rev | TransNat1 | missing | 1 7 28 80 185 371 672 1128 1785 2695 3916 5512 7553 10115 13280 17136 21777 27303 33820 41440 50281 | -| 63 | Naturals:Rev | TransSqrs | missing | 0 2 21 104 350 930 2107 4256 7884 13650 22385 35112 53066 77714 110775 154240 210392 281826 371469 | -| 64 | Naturals:Rev | PosHalf | missing | 1 8 38 139 439 1266 3436 8933 22493 55252 133066 315327 737203 1703846 3899288 8847241 19922809 | -| 65 | Naturals:Rev | NegHalf | missing | 1 -4 18 -53 167 -450 1216 -3091 7749 -18872 45302 -106929 249427 -575230 1314396 -2978207 6699281 | -| 66 | Naturals:Rev | DiagRow1 | B152948 | 3 5 8 12 17 23 30 38 47 57 68 80 93 107 122 138 155 173 192 212 233 255 278 302 327 353 380 408 437 | -| 67 | Naturals:Rev | DiagRow2 | A167614 | 6 9 13 18 24 31 39 48 58 69 81 94 108 123 139 156 174 193 213 234 256 279 303 328 354 381 409 438 | -| 68 | Naturals:Rev | DiagRow3 | B145018 | 10 14 19 25 32 40 49 59 70 82 95 109 124 140 157 175 194 214 235 257 280 304 329 355 382 410 439 | -| 69 | Naturals:Rev | DiagCol1 | B000096 | 2 5 9 14 20 27 35 44 54 65 77 90 104 119 135 152 170 189 209 230 252 275 299 324 350 377 405 434 | -| 70 | Naturals:Rev | DiagCol2 | B034856 | 4 8 13 19 26 34 43 53 64 76 89 103 118 134 151 169 188 208 229 251 274 298 323 349 376 404 433 463 | -| 71 | Naturals:Rev | DiagCol3 | B055998 | 7 12 18 25 33 42 52 63 75 88 102 117 133 150 168 187 207 228 250 273 297 322 348 375 403 432 462 | -| 72 | Naturals:Rev | Poly | missing | 1 3 1 6 5 1 10 15 7 1 15 34 32 9 1 21 65 116 57 11 1 28 111 367 298 90 13 1 36 175 1065 1389 622 | -| 73 | Naturals:Rev | PolyRow1 | A081874 | 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 | -| 74 | Naturals:Rev | PolyRow2 | missing | 6 15 32 57 90 131 180 237 302 375 456 545 642 747 860 981 1110 1247 1392 1545 1706 1875 2052 2237 | -| 75 | Naturals:Rev | PolyRow3 | missing | 10 34 116 298 622 1130 1864 2866 4178 5842 7900 10394 13366 16858 20912 25570 30874 36866 43588 | -| 76 | Naturals:Rev | PolyCol2 | missing | 1 7 32 116 367 1065 2914 7642 19409 48071 116668 278448 655267 1523605 3506054 7995254 18087781 | -| 77 | Naturals:Rev | PolyCol3 | missing | 1 9 57 298 1389 6003 24589 96756 369033 1372861 5004369 17936094 63374293 221212263 764079237 | -| 78 | Naturals:Rev | PolyDiag | missing | 1 5 32 298 3863 63471 1242910 28023332 712175693 20103491305 623456790116 21058854407790 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:-------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | Naturals:Std | Triangle | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 | +| 1 | Naturals:Std | Rev | A038722 | 1 3 2 6 5 4 10 9 8 7 15 14 13 12 11 21 20 19 18 17 16 28 27 26 25 24 23 22 36 35 34 33 32 31 30 29 | +| 2 | Naturals:Std | Acc | missing | 1 2 5 4 9 15 7 15 24 34 11 23 36 50 65 16 33 51 70 90 111 22 45 69 94 120 147 175 29 59 90 122 155 | +| 3 | Naturals:Std | AccRev | missing | 1 3 5 6 11 15 10 19 27 34 15 29 42 54 65 21 41 60 78 95 111 28 55 81 106 130 153 175 36 71 105 138 | +| 4 | Naturals:Std | AntiDiag | A056536 | 1 2 4 3 7 5 11 8 6 16 12 9 22 17 13 10 29 23 18 14 37 30 24 19 15 46 38 31 25 20 56 47 39 32 26 21 | +| 5 | Naturals:Std | Diffx1 | missing | 1 2 6 4 10 18 7 16 27 40 11 24 39 56 75 16 34 54 76 100 126 22 46 72 100 130 162 196 29 60 93 128 | +| 6 | Naturals:Std | RowSum | B006003 | 1 5 15 34 65 111 175 260 369 505 671 870 1105 1379 1695 2056 2465 2925 3439 4010 4641 5335 6095 | +| 7 | Naturals:Std | EvenSum | B131474 | 1 2 10 16 39 54 100 128 205 250 366 432 595 686 904 1024 1305 1458 1810 2000 2431 2662 3180 3456 | +| 8 | Naturals:Std | OddSum | missing | 0 3 5 18 26 57 75 132 164 255 305 438 510 693 791 1032 1160 1467 1629 2010 2210 2673 2915 3468 3756 | +| 9 | Naturals:Std | AltSum | missing | 1 -1 5 -2 13 -3 25 -4 41 -5 61 -6 85 -7 113 -8 145 -9 181 -10 221 -11 265 -12 313 -13 365 -14 421 | +| 10 | Naturals:Std | DiagSum | A079824 | 1 2 7 12 25 37 62 84 125 160 221 272 357 427 540 632 777 894 1075 1220 1441 1617 1882 2092 2405 | +| 11 | Naturals:Std | AccSum | missing | 1 7 28 80 185 371 672 1128 1785 2695 3916 5512 7553 10115 13280 17136 21777 27303 33820 41440 50281 | +| 12 | Naturals:Std | AccRevSum | A132117 | 1 8 32 90 205 406 728 1212 1905 2860 4136 5798 7917 10570 13840 17816 22593 28272 34960 42770 51821 | +| 13 | Naturals:Std | RowLcm | A061431 | 1 6 60 2520 60060 1627920 124324200 1694579040 446626220040 73706596563600 177223661334720 | +| 14 | Naturals:Std | RowMax | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 15 | Naturals:Std | ColMiddle | B000982 | 1 2 5 8 13 18 25 32 41 50 61 72 85 98 113 128 145 162 181 200 221 242 265 288 313 338 365 392 421 | +| 16 | Naturals:Std | CentralE | A001844 | 1 5 13 25 41 61 85 113 145 181 221 265 313 365 421 481 | +| 17 | Naturals:Std | CentralO | B001105 | 2 8 18 32 50 72 98 128 162 200 242 288 338 392 450 512 | +| 18 | Naturals:Std | ColLeft | A000124 | 1 2 4 7 11 16 22 29 37 46 56 67 79 92 106 121 137 154 172 191 211 232 254 277 301 326 352 379 407 | +| 19 | Naturals:Std | ColRight | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 20 | Naturals:Std | BinConv | A084850 | 1 5 20 68 208 592 1600 4160 10496 25856 62464 148480 348160 806912 1851392 4210688 9502720 21299200 | +| 21 | Naturals:Std | InvBinConv | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 22 | Naturals:Std | TransNat0 | A152457 | 0 3 17 56 140 295 553 952 1536 2355 3465 4928 6812 9191 12145 15760 20128 25347 31521 38760 47180 | +| 23 | Naturals:Std | TransNat1 | A132117 | 1 8 32 90 205 406 728 1212 1905 2860 4136 5798 7917 10570 13840 17816 22593 28272 34960 42770 51821 | +| 24 | Naturals:Std | TransSqrs | missing | 0 3 29 134 430 1105 2443 4844 8844 15135 24585 38258 57434 83629 118615 164440 223448 298299 391989 | +| 25 | Naturals:Std | PosHalf | missing | 1 7 32 116 367 1065 2914 7642 19409 48071 116668 278448 655267 1523605 3506054 7995254 18087781 | +| 26 | Naturals:Std | NegHalf | missing | 1 -1 12 -32 119 -327 934 -2434 6273 -15569 38024 -90996 214843 -500587 1154202 -2635958 5971109 | +| 27 | Naturals:Std | DiagRow1 | B000096 | 2 5 9 14 20 27 35 44 54 65 77 90 104 119 135 152 170 189 209 230 252 275 299 324 350 377 405 434 | +| 28 | Naturals:Std | DiagRow2 | B034856 | 4 8 13 19 26 34 43 53 64 76 89 103 118 134 151 169 188 208 229 251 274 298 323 349 376 404 433 463 | +| 29 | Naturals:Std | DiagRow3 | B055998 | 7 12 18 25 33 42 52 63 75 88 102 117 133 150 168 187 207 228 250 273 297 322 348 375 403 432 462 | +| 30 | Naturals:Std | DiagCol1 | B152948 | 3 5 8 12 17 23 30 38 47 57 68 80 93 107 122 138 155 173 192 212 233 255 278 302 327 353 380 408 437 | +| 31 | Naturals:Std | DiagCol2 | A167614 | 6 9 13 18 24 31 39 48 58 69 81 94 108 123 139 156 174 193 213 234 256 279 303 328 354 381 409 438 | +| 32 | Naturals:Std | DiagCol3 | B145018 | 10 14 19 25 32 40 49 59 70 82 95 109 124 140 157 175 194 214 235 257 280 304 329 355 382 410 439 | +| 33 | Naturals:Std | Poly | missing | 1 2 1 4 5 1 7 15 8 1 11 34 38 11 1 16 65 139 73 14 1 22 111 439 382 120 17 1 29 175 1266 1757 823 | +| 34 | Naturals:Std | PolyRow1 | A016789 | 2 5 8 11 14 17 20 23 26 29 32 35 38 41 44 47 50 53 56 59 62 65 68 71 74 77 80 83 86 89 92 95 | +| 35 | Naturals:Std | PolyRow2 | missing | 4 15 38 73 120 179 250 333 428 535 654 785 928 1083 1250 1429 1620 1823 2038 2265 2504 2755 3018 | +| 36 | Naturals:Std | PolyRow3 | missing | 7 34 139 382 823 1522 2539 3934 5767 8098 10987 14494 18679 23602 29323 35902 43399 51874 61387 | +| 37 | Naturals:Std | PolyCol2 | missing | 1 8 38 139 439 1266 3436 8933 22493 55252 133066 315327 737203 1703846 3899288 8847241 19922809 | +| 38 | Naturals:Std | PolyCol3 | missing | 1 11 73 382 1757 7465 30061 116444 437929 1609063 5801537 20593306 72143077 249910085 857347141 | +| 39 | Naturals:Std | PolyDiag | missing | 1 5 38 382 5003 81051 1556440 34428668 860089109 23917161745 732098765426 24448357054650 | +| 40 | Naturals:Alt | Triangle | A000027 | 1 2 -3 4 -5 6 7 -8 9 -10 11 -12 13 -14 15 16 -17 18 -19 20 -21 22 -23 24 -25 26 -27 28 29 -30 31 | +| 41 | Naturals:Alt | Rev | A038722 | 1 -3 2 6 -5 4 -10 9 -8 7 15 -14 13 -12 11 -21 20 -19 18 -17 16 28 -27 26 -25 24 -23 22 -36 35 -34 | +| 42 | Naturals:Alt | Acc | missing | 1 2 -1 4 -1 5 7 -1 8 -2 11 -1 12 -2 13 16 -1 17 -2 18 -3 22 -1 23 -2 24 -3 25 29 -1 30 -2 31 -3 32 | +| 43 | Naturals:Alt | AccRev | missing | 1 -3 -1 6 1 5 -10 -1 -9 -2 15 1 14 2 13 -21 -1 -20 -2 -19 -3 28 1 27 2 26 3 25 -36 -1 -35 -2 -34 -3 | +| 44 | Naturals:Alt | AntiDiag | A056536 | 1 2 4 -3 7 -5 11 -8 6 16 -12 9 22 -17 13 -10 29 -23 18 -14 37 -30 24 -19 15 46 -38 31 -25 20 56 -47 | +| 45 | Naturals:Alt | Diffx1 | missing | 1 2 -6 4 -10 18 7 -16 27 -40 11 -24 39 -56 75 16 -34 54 -76 100 -126 22 -46 72 -100 130 -162 196 29 | +| 46 | Naturals:Alt | RowSum | missing | 1 -1 5 -2 13 -3 25 -4 41 -5 61 -6 85 -7 113 -8 145 -9 181 -10 221 -11 265 -12 313 -13 365 -14 421 | +| 47 | Naturals:Alt | EvenSum | B131474 | 1 2 10 16 39 54 100 128 205 250 366 432 595 686 904 1024 1305 1458 1810 2000 2431 2662 3180 3456 | +| 48 | Naturals:Alt | OddSum | missing | 0 -3 -5 -18 -26 -57 -75 -132 -164 -255 -305 -438 -510 -693 -791 -1032 -1160 -1467 -1629 -2010 -2210 | +| 49 | Naturals:Alt | AltSum | B006003 | 1 5 15 34 65 111 175 260 369 505 671 870 1105 1379 1695 2056 2465 2925 3439 4010 4641 5335 6095 | +| 50 | Naturals:Alt | DiagSum | missing | 1 2 1 2 9 13 8 10 27 34 21 24 55 65 40 44 93 106 65 70 141 157 96 102 199 218 133 140 267 289 176 | +| 51 | Naturals:Alt | AccSum | missing | 1 1 8 12 33 45 88 112 185 225 336 396 553 637 848 960 1233 1377 1720 1900 2321 2541 3048 3312 3913 | +| 52 | Naturals:Alt | AccRevSum | missing | 1 -4 12 -22 45 -66 112 -148 225 -280 396 -474 637 -742 960 -1096 1377 -1548 1900 -2110 2541 -2794 | +| 53 | Naturals:Alt | RowLcm | A061431 | 1 6 60 2520 60060 1627920 124324200 1694579040 446626220040 73706596563600 177223661334720 | +| 54 | Naturals:Alt | RowMax | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 55 | Naturals:Alt | ColMiddle | B000982 | 1 2 -5 -8 13 18 -25 -32 41 50 -61 -72 85 98 -113 -128 145 162 -181 -200 221 242 -265 -288 313 338 | +| 56 | Naturals:Alt | CentralE | A001844 | 1 -5 13 -25 41 -61 85 -113 145 -181 221 -265 313 -365 421 -481 | +| 57 | Naturals:Alt | CentralO | B001105 | 2 -8 18 -32 50 -72 98 -128 162 -200 242 -288 338 -392 450 -512 | +| 58 | Naturals:Alt | ColLeft | A000124 | 1 2 4 7 11 16 22 29 37 46 56 67 79 92 106 121 137 154 172 191 211 232 254 277 301 326 352 379 407 | +| 59 | Naturals:Alt | ColRight | A025731 | 1 -3 6 -10 15 -21 28 -36 45 -55 66 -78 91 -105 120 -136 153 -171 190 -210 231 -253 276 -300 325 | +| 60 | Naturals:Alt | BinConv | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 61 | Naturals:Alt | InvBinConv | A084850 | 1 -5 20 -68 208 -592 1600 -4160 10496 -25856 62464 -148480 348160 -806912 1851392 -4210688 9502720 | +| 62 | Naturals:Alt | TransNat0 | missing | 0 -3 7 -20 32 -63 87 -144 184 -275 335 -468 552 -735 847 -1088 1232 -1539 1719 -2100 2320 -2783 | +| 63 | Naturals:Alt | TransNat1 | missing | 1 -4 12 -22 45 -66 112 -148 225 -280 396 -474 637 -742 960 -1096 1377 -1548 1900 -2110 2541 -2794 | +| 64 | Naturals:Alt | TransSqrs | missing | 0 -3 19 -62 154 -321 597 -1020 1636 -2495 3655 -5178 7134 -9597 12649 -16376 20872 -26235 32571 | +| 65 | Naturals:Alt | PosHalf | missing | 1 1 12 32 119 327 934 2434 6273 15569 38024 90996 214843 500587 1154202 2635958 5971109 13427541 | +| 66 | Naturals:Alt | NegHalf | missing | 1 -7 32 -116 367 -1065 2914 -7642 19409 -48071 116668 -278448 655267 -1523605 3506054 -7995254 | +| 67 | Naturals:Alt | DiagRow1 | B000096 | 2 -5 9 -14 20 -27 35 -44 54 -65 77 -90 104 -119 135 -152 170 -189 209 -230 252 -275 299 -324 350 | +| 68 | Naturals:Alt | DiagRow2 | B034856 | 4 -8 13 -19 26 -34 43 -53 64 -76 89 -103 118 -134 151 -169 188 -208 229 -251 274 -298 323 -349 376 | +| 69 | Naturals:Alt | DiagRow3 | B055998 | 7 -12 18 -25 33 -42 52 -63 75 -88 102 -117 133 -150 168 -187 207 -228 250 -273 297 -322 348 -375 | +| 70 | Naturals:Alt | DiagCol1 | B152948 | -3 -5 -8 -12 -17 -23 -30 -38 -47 -57 -68 -80 -93 -107 -122 -138 -155 -173 -192 -212 -233 -255 -278 | +| 71 | Naturals:Alt | DiagCol2 | A167614 | 6 9 13 18 24 31 39 48 58 69 81 94 108 123 139 156 174 193 213 234 256 279 303 328 354 381 409 438 | +| 72 | Naturals:Alt | DiagCol3 | B145018 | -10 -14 -19 -25 -32 -40 -49 -59 -70 -82 -95 -109 -124 -140 -157 -175 -194 -214 -235 -257 -280 -304 | +| 73 | Naturals:Alt | Poly | missing | 1 2 1 4 -1 1 7 5 -4 1 11 -2 18 -7 1 16 13 -53 43 -10 1 22 -3 167 -206 80 -13 1 29 25 -450 929 -521 | +| 74 | Naturals:Alt | PolyRow1 | A016777 | 2 -1 -4 -7 -10 -13 -16 -19 -22 -25 -28 -31 -34 -37 -40 -43 -46 -49 -52 -55 -58 -61 -64 -67 -70 -73 | +| 75 | Naturals:Alt | PolyRow2 | missing | 4 5 18 43 80 129 190 263 348 445 554 675 808 953 1110 1279 1460 1653 1858 2075 2304 2545 2798 3063 | +| 76 | Naturals:Alt | PolyRow3 | missing | 7 -2 -53 -206 -521 -1058 -1877 -3038 -4601 -6626 -9173 -12302 -16073 -20546 -25781 -31838 -38777 | +| 77 | Naturals:Alt | PolyCol2 | missing | 1 -4 18 -53 167 -450 1216 -3091 7749 -18872 45302 -106929 249427 -575230 1314396 -2978207 6699281 | +| 78 | Naturals:Alt | PolyCol3 | missing | 1 -7 43 -206 929 -3869 15451 -59452 222673 -815603 2934011 -10396298 36370513 -125851849 431364043 | +| 79 | Naturals:Alt | PolyDiag | missing | 1 -1 18 -206 3115 -55119 1125460 -26031676 672745653 -19212182045 600826446286 -20421579090186 | +| 80 | Naturals:Rev | Triangle | A038722 | 1 3 2 6 5 4 10 9 8 7 15 14 13 12 11 21 20 19 18 17 16 28 27 26 25 24 23 22 36 35 34 33 32 31 30 29 | +| 81 | Naturals:Rev | Acc | missing | 1 3 5 6 11 15 10 19 27 34 15 29 42 54 65 21 41 60 78 95 111 28 55 81 106 130 153 175 36 71 105 138 | +| 82 | Naturals:Rev | AccRev | missing | 1 2 5 4 9 15 7 15 24 34 11 23 36 50 65 16 33 51 70 90 111 22 45 69 94 120 147 175 29 59 90 122 155 | +| 83 | Naturals:Rev | AntiDiag | missing | 1 3 6 2 10 5 15 9 4 21 14 8 28 20 13 7 36 27 19 12 45 35 26 18 11 55 44 34 25 17 66 54 43 33 24 16 | +| 84 | Naturals:Rev | Diffx1 | missing | 1 3 4 6 10 12 10 18 24 28 15 28 39 48 55 21 40 57 72 85 96 28 54 78 100 120 138 154 36 70 102 132 | +| 85 | Naturals:Rev | RowSum | B006003 | 1 5 15 34 65 111 175 260 369 505 671 870 1105 1379 1695 2056 2465 2925 3439 4010 4641 5335 6095 | +| 86 | Naturals:Rev | EvenSum | missing | 1 3 10 18 39 57 100 132 205 255 366 438 595 693 904 1032 1305 1467 1810 2010 2431 2673 3180 3468 | +| 87 | Naturals:Rev | OddSum | missing | 0 2 5 16 26 54 75 128 164 250 305 432 510 686 791 1024 1160 1458 1629 2000 2210 2662 2915 3456 3756 | +| 88 | Naturals:Rev | AltSum | missing | 1 1 5 2 13 3 25 4 41 5 61 6 85 7 113 8 145 9 181 10 221 11 265 12 313 13 365 14 421 15 481 16 | +| 89 | Naturals:Rev | DiagSum | missing | 1 3 8 15 28 43 68 94 135 175 236 293 378 455 568 668 813 939 1120 1275 1496 1683 1948 2170 2483 | +| 90 | Naturals:Rev | AccSum | A132117 | 1 8 32 90 205 406 728 1212 1905 2860 4136 5798 7917 10570 13840 17816 22593 28272 34960 42770 51821 | +| 91 | Naturals:Rev | AccRevSum | missing | 1 7 28 80 185 371 672 1128 1785 2695 3916 5512 7553 10115 13280 17136 21777 27303 33820 41440 50281 | +| 92 | Naturals:Rev | RowLcm | A061431 | 1 6 60 2520 60060 1627920 124324200 1694579040 446626220040 73706596563600 177223661334720 | +| 93 | Naturals:Rev | RowMax | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 94 | Naturals:Rev | ColMiddle | A080827 | 1 3 5 9 13 19 25 33 41 51 61 73 85 99 113 129 145 163 181 201 221 243 265 289 313 339 365 393 421 | +| 95 | Naturals:Rev | CentralE | A001844 | 1 5 13 25 41 61 85 113 145 181 221 265 313 365 421 481 | +| 96 | Naturals:Rev | CentralO | B058331 | 3 9 19 33 51 73 99 129 163 201 243 289 339 393 451 513 | +| 97 | Naturals:Rev | ColLeft | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 98 | Naturals:Rev | ColRight | A000124 | 1 2 4 7 11 16 22 29 37 46 56 67 79 92 106 121 137 154 172 191 211 232 254 277 301 326 352 379 407 | +| 99 | Naturals:Rev | BinConv | A084850 | 1 5 20 68 208 592 1600 4160 10496 25856 62464 148480 348160 806912 1851392 4210688 9502720 21299200 | +| 100 | Naturals:Rev | InvBinConv | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 101 | Naturals:Rev | TransNat0 | A176060 | 0 2 13 46 120 260 497 868 1416 2190 3245 4642 6448 8736 11585 15080 19312 24378 30381 37430 45640 | +| 102 | Naturals:Rev | TransNat1 | missing | 1 7 28 80 185 371 672 1128 1785 2695 3916 5512 7553 10115 13280 17136 21777 27303 33820 41440 50281 | +| 103 | Naturals:Rev | TransSqrs | missing | 0 2 21 104 350 930 2107 4256 7884 13650 22385 35112 53066 77714 110775 154240 210392 281826 371469 | +| 104 | Naturals:Rev | PosHalf | missing | 1 8 38 139 439 1266 3436 8933 22493 55252 133066 315327 737203 1703846 3899288 8847241 19922809 | +| 105 | Naturals:Rev | NegHalf | missing | 1 -4 18 -53 167 -450 1216 -3091 7749 -18872 45302 -106929 249427 -575230 1314396 -2978207 6699281 | +| 106 | Naturals:Rev | DiagRow1 | B152948 | 3 5 8 12 17 23 30 38 47 57 68 80 93 107 122 138 155 173 192 212 233 255 278 302 327 353 380 408 437 | +| 107 | Naturals:Rev | DiagRow2 | A167614 | 6 9 13 18 24 31 39 48 58 69 81 94 108 123 139 156 174 193 213 234 256 279 303 328 354 381 409 438 | +| 108 | Naturals:Rev | DiagRow3 | B145018 | 10 14 19 25 32 40 49 59 70 82 95 109 124 140 157 175 194 214 235 257 280 304 329 355 382 410 439 | +| 109 | Naturals:Rev | DiagCol1 | B000096 | 2 5 9 14 20 27 35 44 54 65 77 90 104 119 135 152 170 189 209 230 252 275 299 324 350 377 405 434 | +| 110 | Naturals:Rev | DiagCol2 | B034856 | 4 8 13 19 26 34 43 53 64 76 89 103 118 134 151 169 188 208 229 251 274 298 323 349 376 404 433 463 | +| 111 | Naturals:Rev | DiagCol3 | B055998 | 7 12 18 25 33 42 52 63 75 88 102 117 133 150 168 187 207 228 250 273 297 322 348 375 403 432 462 | +| 112 | Naturals:Rev | Poly | missing | 1 3 1 6 5 1 10 15 7 1 15 34 32 9 1 21 65 116 57 11 1 28 111 367 298 90 13 1 36 175 1065 1389 622 | +| 113 | Naturals:Rev | PolyRow1 | A081874 | 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 | +| 114 | Naturals:Rev | PolyRow2 | missing | 6 15 32 57 90 131 180 237 302 375 456 545 642 747 860 981 1110 1247 1392 1545 1706 1875 2052 2237 | +| 115 | Naturals:Rev | PolyRow3 | missing | 10 34 116 298 622 1130 1864 2866 4178 5842 7900 10394 13366 16858 20912 25570 30874 36866 43588 | +| 116 | Naturals:Rev | PolyCol2 | missing | 1 7 32 116 367 1065 2914 7642 19409 48071 116668 278448 655267 1523605 3506054 7995254 18087781 | +| 117 | Naturals:Rev | PolyCol3 | missing | 1 9 57 298 1389 6003 24589 96756 369033 1372861 5004369 17936094 63374293 221212263 764079237 | +| 118 | Naturals:Rev | PolyDiag | missing | 1 5 32 298 3863 63471 1242910 28023332 712175693 20103491305 623456790116 21058854407790 | \ No newline at end of file diff --git a/data/md/Nicomachus.md b/data/md/Nicomachus.md index 9e17e11..07468fa 100644 --- a/data/md/Nicomachus.md +++ b/data/md/Nicomachus.md @@ -1,79 +1,118 @@ -| | triangle | trait | anum | seq | -|---:|:---------------|:----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | Nicomachus:Std | Triangle | A036561 | 1 2 3 4 6 9 8 12 18 27 16 24 36 54 81 32 48 72 108 162 243 64 96 144 216 324 486 729 128 192 288 | -| 1 | Nicomachus:Std | Rev | A175840 | 1 3 2 9 6 4 27 18 12 8 81 54 36 24 16 243 162 108 72 48 32 729 486 324 216 144 96 64 2187 1458 972 | -| 2 | Nicomachus:Std | Acc | A230435 | 1 2 5 4 10 19 8 20 38 65 16 40 76 130 211 32 80 152 260 422 665 64 160 304 520 844 1330 2059 128 | -| 3 | Nicomachus:Std | AccRev | missing | 1 3 5 9 15 19 27 45 57 65 81 135 171 195 211 243 405 513 585 633 665 729 1215 1539 1755 1899 1995 | -| 4 | Nicomachus:Std | AntiDiag | missing | 1 2 4 3 8 6 16 12 9 32 24 18 64 48 36 27 128 96 72 54 256 192 144 108 81 512 384 288 216 162 1024 | -| 5 | Nicomachus:Std | Diffx1 | missing | 1 2 6 4 12 27 8 24 54 108 16 48 108 216 405 32 96 216 432 810 1458 64 192 432 864 1620 2916 5103 | -| 6 | Nicomachus:Std | RowSum | B001047 | 1 5 19 65 211 665 2059 6305 19171 58025 175099 527345 1586131 4766585 14316139 42981185 129009091 | -| 7 | Nicomachus:Std | EvenSum | missing | 1 2 13 26 133 266 1261 2522 11605 23210 105469 210938 953317 1906634 8596237 17192474 77431669 | -| 8 | Nicomachus:Std | OddSum | missing | 0 3 6 39 78 399 798 3783 7566 34815 69630 316407 632814 2859951 5719902 25788711 51577422 232295007 | -| 9 | Nicomachus:Std | AltSum | B091005 | 1 -1 7 -13 55 -133 463 -1261 4039 -11605 35839 -105469 320503 -953317 2876335 -8596237 25854247 | -| 10 | Nicomachus:Std | DiagSum | B167762 | 1 2 7 14 37 74 175 350 781 1562 3367 6734 14197 28394 58975 117950 242461 484922 989527 1979054 | -| 11 | Nicomachus:Std | AccSum | B066810 | 1 7 33 131 473 1611 5281 16867 52905 163835 502769 1532883 4651897 14070379 42456897 127894979 | -| 12 | Nicomachus:Std | AccRevSum | missing | 1 8 43 194 793 3044 11191 39878 138805 474440 1598419 5322602 17553937 57428396 186601327 602785166 | -| 13 | Nicomachus:Std | RowLcm | A000400 | 1 6 36 216 1296 7776 46656 279936 1679616 10077696 60466176 362797056 2176782336 13060694016 | -| 14 | Nicomachus:Std | RowMax | A000244 | 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721 129140163 | -| 15 | Nicomachus:Std | ColMiddle | A026549 | 1 2 6 12 36 72 216 432 1296 2592 7776 15552 46656 93312 279936 559872 1679616 3359232 10077696 | -| 16 | Nicomachus:Std | CentralE | A000400 | 1 6 36 216 1296 7776 46656 279936 1679616 10077696 60466176 362797056 2176782336 13060694016 | -| 17 | Nicomachus:Std | CentralO | B167747 | 2 12 72 432 2592 15552 93312 559872 3359232 20155392 120932352 725594112 4353564672 26121388032 | -| 18 | Nicomachus:Std | ColLeft | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 19 | Nicomachus:Std | ColRight | A000244 | 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721 129140163 | -| 20 | Nicomachus:Std | BinConv | A000351 | 1 5 25 125 625 3125 15625 78125 390625 1953125 9765625 48828125 244140625 1220703125 6103515625 | -| 21 | Nicomachus:Std | TransNat0 | missing | 0 3 24 129 582 2379 9132 33573 119634 416415 1423320 4795257 15967806 52661811 172285188 559803981 | -| 22 | Nicomachus:Std | TransNat1 | missing | 1 8 43 194 793 3044 11191 39878 138805 474440 1598419 5322602 17553937 57428396 186601327 602785166 | -| 23 | Nicomachus:Std | TransSqrs | missing | 0 3 42 327 1950 9975 46194 199551 819006 3232335 12369570 46173927 168875358 607191303 2151844530 | -| 24 | Nicomachus:Std | PosHalf | B005061 | 1 7 37 175 781 3367 14197 58975 242461 989527 4017157 16245775 65514541 263652487 1059392917 | -| 25 | Nicomachus:Std | NegHalf | A053404 | 1 -1 13 -25 181 -481 2653 -8425 40261 -141361 624493 -2320825 9814741 -37664641 155441533 | -| 26 | Nicomachus:Std | DiagRow1 | A008776 | 2 6 18 54 162 486 1458 4374 13122 39366 118098 354294 1062882 3188646 9565938 28697814 86093442 | -| 27 | Nicomachus:Std | DiagRow2 | B003946 | 4 12 36 108 324 972 2916 8748 26244 78732 236196 708588 2125764 6377292 19131876 57395628 172186884 | -| 28 | Nicomachus:Std | DiagRow3 | A005051 | 8 24 72 216 648 1944 5832 17496 52488 157464 472392 1417176 4251528 12754584 38263752 114791256 | -| 29 | Nicomachus:Std | DiagCol1 | A007283 | 3 6 12 24 48 96 192 384 768 1536 3072 6144 12288 24576 49152 98304 196608 393216 786432 1572864 | -| 30 | Nicomachus:Std | DiagCol2 | A005010 | 9 18 36 72 144 288 576 1152 2304 4608 9216 18432 36864 73728 147456 294912 589824 1179648 2359296 | -| 31 | Nicomachus:Std | DiagCol3 | A175806 | 27 54 108 216 432 864 1728 3456 6912 13824 27648 55296 110592 221184 442368 884736 1769472 3538944 | -| 32 | Nicomachus:Std | Poly | missing | 1 2 1 4 5 1 8 19 8 1 16 65 52 11 1 32 211 320 103 14 1 64 665 1936 935 172 17 1 128 2059 11648 8431 | -| 33 | Nicomachus:Std | PolyRow1 | A016789 | 2 5 8 11 14 17 20 23 26 29 32 35 38 41 44 47 50 53 56 59 62 65 68 71 74 77 80 83 86 89 92 95 | -| 34 | Nicomachus:Std | PolyRow2 | missing | 4 19 52 103 172 259 364 487 628 787 964 1159 1372 1603 1852 2119 2404 2707 3028 3367 3724 4099 4492 | -| 35 | Nicomachus:Std | PolyRow3 | missing | 8 65 320 935 2072 3893 6560 10235 15080 21257 28928 38255 49400 62525 77792 95363 115400 138065 | -| 36 | Nicomachus:Std | PolyCol2 | A016129 | 1 8 52 320 1936 11648 69952 419840 2519296 15116288 90698752 544194560 3265171456 19591036928 | -| 37 | Nicomachus:Std | PolyCol3 | A016133 | 1 11 103 935 8431 75911 683263 6149495 55345711 498111911 4483008223 40347076055 363123688591 | -| 38 | Nicomachus:Std | PolyDiag | missing | 1 5 52 935 24880 876197 38263744 1990676795 120082160896 8235645283745 632667857142784 | -| 39 | Nicomachus:Rev | Triangle | A175840 | 1 3 2 9 6 4 27 18 12 8 81 54 36 24 16 243 162 108 72 48 32 729 486 324 216 144 96 64 2187 1458 972 | -| 40 | Nicomachus:Rev | Acc | missing | 1 3 5 9 15 19 27 45 57 65 81 135 171 195 211 243 405 513 585 633 665 729 1215 1539 1755 1899 1995 | -| 41 | Nicomachus:Rev | AccRev | A230435 | 1 2 5 4 10 19 8 20 38 65 16 40 76 130 211 32 80 152 260 422 665 64 160 304 520 844 1330 2059 128 | -| 42 | Nicomachus:Rev | AntiDiag | missing | 1 3 9 2 27 6 81 18 4 243 54 12 729 162 36 8 2187 486 108 24 6561 1458 324 72 16 19683 4374 972 216 | -| 43 | Nicomachus:Rev | Diffx1 | missing | 1 3 4 9 12 12 27 36 36 32 81 108 108 96 80 243 324 324 288 240 192 729 972 972 864 720 576 448 2187 | -| 44 | Nicomachus:Rev | RowSum | B001047 | 1 5 19 65 211 665 2059 6305 19171 58025 175099 527345 1586131 4766585 14316139 42981185 129009091 | -| 45 | Nicomachus:Rev | EvenSum | B167910 | 1 3 13 39 133 399 1261 3783 11605 34815 105469 316407 953317 2859951 8596237 25788711 77431669 | -| 46 | Nicomachus:Rev | OddSum | missing | 0 2 6 26 78 266 798 2522 7566 23210 69630 210938 632814 1906634 5719902 17192474 51577422 154863338 | -| 47 | Nicomachus:Rev | AltSum | B015441 | 1 1 7 13 55 133 463 1261 4039 11605 35839 105469 320503 953317 2876335 8596237 25854247 77431669 | -| 48 | Nicomachus:Rev | DiagSum | B135247 | 1 3 11 33 103 309 935 2805 8431 25293 75911 227733 683263 2049789 6149495 18448485 55345711 | -| 49 | Nicomachus:Rev | AccSum | missing | 1 8 43 194 793 3044 11191 39878 138805 474440 1598419 5322602 17553937 57428396 186601327 602785166 | -| 50 | Nicomachus:Rev | AccRevSum | B066810 | 1 7 33 131 473 1611 5281 16867 52905 163835 502769 1532883 4651897 14070379 42456897 127894979 | -| 51 | Nicomachus:Rev | RowLcm | A000400 | 1 6 36 216 1296 7776 46656 279936 1679616 10077696 60466176 362797056 2176782336 13060694016 | -| 52 | Nicomachus:Rev | RowMax | A000244 | 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721 129140163 | -| 53 | Nicomachus:Rev | ColMiddle | A026532 | 1 3 6 18 36 108 216 648 1296 3888 7776 23328 46656 139968 279936 839808 1679616 5038848 10077696 | -| 54 | Nicomachus:Rev | CentralE | A000400 | 1 6 36 216 1296 7776 46656 279936 1679616 10077696 60466176 362797056 2176782336 13060694016 | -| 55 | Nicomachus:Rev | CentralO | A169604 | 3 18 108 648 3888 23328 139968 839808 5038848 30233088 181398528 1088391168 6530347008 39182082048 | -| 56 | Nicomachus:Rev | ColLeft | A000244 | 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721 129140163 | -| 57 | Nicomachus:Rev | ColRight | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 58 | Nicomachus:Rev | BinConv | A000351 | 1 5 25 125 625 3125 15625 78125 390625 1953125 9765625 48828125 244140625 1220703125 6103515625 | -| 59 | Nicomachus:Rev | TransNat0 | missing | 0 2 14 66 262 946 3222 10562 33734 105810 327670 1005538 3065766 9303794 28140758 84913794 | -| 60 | Nicomachus:Rev | TransNat1 | B066810 | 1 7 33 131 473 1611 5281 16867 52905 163835 502769 1532883 4651897 14070379 42456897 127894979 | -| 61 | Nicomachus:Rev | TransSqrs | missing | 0 2 22 138 670 2810 10734 38474 131806 436890 1413070 4487018 14050878 43537082 133822510 408840330 | -| 62 | Nicomachus:Rev | PosHalf | A016129 | 1 8 52 320 1936 11648 69952 419840 2519296 15116288 90698752 544194560 3265171456 19591036928 | -| 63 | Nicomachus:Rev | NegHalf | B053524 | 1 -4 28 -160 976 -5824 35008 -209920 1259776 -7558144 45349888 -272097280 1632587776 -9795518464 | -| 64 | Nicomachus:Rev | DiagRow1 | A007283 | 3 6 12 24 48 96 192 384 768 1536 3072 6144 12288 24576 49152 98304 196608 393216 786432 1572864 | -| 65 | Nicomachus:Rev | DiagRow2 | A005010 | 9 18 36 72 144 288 576 1152 2304 4608 9216 18432 36864 73728 147456 294912 589824 1179648 2359296 | -| 66 | Nicomachus:Rev | DiagRow3 | A175806 | 27 54 108 216 432 864 1728 3456 6912 13824 27648 55296 110592 221184 442368 884736 1769472 3538944 | -| 67 | Nicomachus:Rev | DiagCol1 | A008776 | 2 6 18 54 162 486 1458 4374 13122 39366 118098 354294 1062882 3188646 9565938 28697814 86093442 | -| 68 | Nicomachus:Rev | DiagCol2 | B003946 | 4 12 36 108 324 972 2916 8748 26244 78732 236196 708588 2125764 6377292 19131876 57395628 172186884 | -| 69 | Nicomachus:Rev | DiagCol3 | A005051 | 8 24 72 216 648 1944 5832 17496 52488 157464 472392 1417176 4251528 12754584 38263752 114791256 | -| 70 | Nicomachus:Rev | Poly | missing | 1 3 1 9 5 1 27 19 7 1 81 65 37 9 1 243 211 175 63 11 1 729 665 781 405 97 13 1 2187 2059 3367 2511 | -| 71 | Nicomachus:Rev | PolyRow1 | A081874 | 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 | -| 72 | Nicomachus:Rev | PolyRow2 | missing | 9 19 37 63 97 139 189 247 313 387 469 559 657 763 877 999 1129 1267 1413 1567 1729 1899 2077 2263 | -| 73 | Nicomachus:Rev | PolyRow3 | missing | 27 65 175 405 803 1417 2295 3485 5035 6993 9407 12325 15795 19865 24583 29997 36155 43105 50895 | -| 74 | Nicomachus:Rev | PolyCol2 | B005061 | 1 7 37 175 781 3367 14197 58975 242461 989527 4017157 16245775 65514541 263652487 1059392917 | -| 75 | Nicomachus:Rev | PolyCol3 | A016137 | 1 9 63 405 2511 15309 92583 557685 3352671 20135709 120873303 725416965 4353033231 26119793709 | -| 76 | Nicomachus:Rev | PolyDiag | missing | 1 5 37 405 6505 142753 3981069 134162045 5286112081 238031144505 12047058813109 676579085816725 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:---------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | Nicomachus:Std | Triangle | A036561 | 1 2 3 4 6 9 8 12 18 27 16 24 36 54 81 32 48 72 108 162 243 64 96 144 216 324 486 729 128 192 288 | +| 1 | Nicomachus:Std | Rev | A175840 | 1 3 2 9 6 4 27 18 12 8 81 54 36 24 16 243 162 108 72 48 32 729 486 324 216 144 96 64 2187 1458 972 | +| 2 | Nicomachus:Std | Acc | A230435 | 1 2 5 4 10 19 8 20 38 65 16 40 76 130 211 32 80 152 260 422 665 64 160 304 520 844 1330 2059 128 | +| 3 | Nicomachus:Std | AccRev | missing | 1 3 5 9 15 19 27 45 57 65 81 135 171 195 211 243 405 513 585 633 665 729 1215 1539 1755 1899 1995 | +| 4 | Nicomachus:Std | AntiDiag | missing | 1 2 4 3 8 6 16 12 9 32 24 18 64 48 36 27 128 96 72 54 256 192 144 108 81 512 384 288 216 162 1024 | +| 5 | Nicomachus:Std | Diffx1 | missing | 1 2 6 4 12 27 8 24 54 108 16 48 108 216 405 32 96 216 432 810 1458 64 192 432 864 1620 2916 5103 | +| 6 | Nicomachus:Std | RowSum | B001047 | 1 5 19 65 211 665 2059 6305 19171 58025 175099 527345 1586131 4766585 14316139 42981185 129009091 | +| 7 | Nicomachus:Std | EvenSum | missing | 1 2 13 26 133 266 1261 2522 11605 23210 105469 210938 953317 1906634 8596237 17192474 77431669 | +| 8 | Nicomachus:Std | OddSum | missing | 0 3 6 39 78 399 798 3783 7566 34815 69630 316407 632814 2859951 5719902 25788711 51577422 232295007 | +| 9 | Nicomachus:Std | AltSum | B091005 | 1 -1 7 -13 55 -133 463 -1261 4039 -11605 35839 -105469 320503 -953317 2876335 -8596237 25854247 | +| 10 | Nicomachus:Std | DiagSum | B167762 | 1 2 7 14 37 74 175 350 781 1562 3367 6734 14197 28394 58975 117950 242461 484922 989527 1979054 | +| 11 | Nicomachus:Std | AccSum | B066810 | 1 7 33 131 473 1611 5281 16867 52905 163835 502769 1532883 4651897 14070379 42456897 127894979 | +| 12 | Nicomachus:Std | AccRevSum | missing | 1 8 43 194 793 3044 11191 39878 138805 474440 1598419 5322602 17553937 57428396 186601327 602785166 | +| 13 | Nicomachus:Std | RowLcm | A000400 | 1 6 36 216 1296 7776 46656 279936 1679616 10077696 60466176 362797056 2176782336 13060694016 | +| 14 | Nicomachus:Std | RowMax | A000244 | 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721 129140163 | +| 15 | Nicomachus:Std | ColMiddle | A026549 | 1 2 6 12 36 72 216 432 1296 2592 7776 15552 46656 93312 279936 559872 1679616 3359232 10077696 | +| 16 | Nicomachus:Std | CentralE | A000400 | 1 6 36 216 1296 7776 46656 279936 1679616 10077696 60466176 362797056 2176782336 13060694016 | +| 17 | Nicomachus:Std | CentralO | B167747 | 2 12 72 432 2592 15552 93312 559872 3359232 20155392 120932352 725594112 4353564672 26121388032 | +| 18 | Nicomachus:Std | ColLeft | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 19 | Nicomachus:Std | ColRight | A000244 | 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721 129140163 | +| 20 | Nicomachus:Std | BinConv | A000351 | 1 5 25 125 625 3125 15625 78125 390625 1953125 9765625 48828125 244140625 1220703125 6103515625 | +| 21 | Nicomachus:Std | TransNat0 | missing | 0 3 24 129 582 2379 9132 33573 119634 416415 1423320 4795257 15967806 52661811 172285188 559803981 | +| 22 | Nicomachus:Std | TransNat1 | missing | 1 8 43 194 793 3044 11191 39878 138805 474440 1598419 5322602 17553937 57428396 186601327 602785166 | +| 23 | Nicomachus:Std | TransSqrs | missing | 0 3 42 327 1950 9975 46194 199551 819006 3232335 12369570 46173927 168875358 607191303 2151844530 | +| 24 | Nicomachus:Std | PosHalf | B005061 | 1 7 37 175 781 3367 14197 58975 242461 989527 4017157 16245775 65514541 263652487 1059392917 | +| 25 | Nicomachus:Std | NegHalf | A053404 | 1 -1 13 -25 181 -481 2653 -8425 40261 -141361 624493 -2320825 9814741 -37664641 155441533 | +| 26 | Nicomachus:Std | DiagRow1 | A008776 | 2 6 18 54 162 486 1458 4374 13122 39366 118098 354294 1062882 3188646 9565938 28697814 86093442 | +| 27 | Nicomachus:Std | DiagRow2 | B003946 | 4 12 36 108 324 972 2916 8748 26244 78732 236196 708588 2125764 6377292 19131876 57395628 172186884 | +| 28 | Nicomachus:Std | DiagRow3 | A005051 | 8 24 72 216 648 1944 5832 17496 52488 157464 472392 1417176 4251528 12754584 38263752 114791256 | +| 29 | Nicomachus:Std | DiagCol1 | A007283 | 3 6 12 24 48 96 192 384 768 1536 3072 6144 12288 24576 49152 98304 196608 393216 786432 1572864 | +| 30 | Nicomachus:Std | DiagCol2 | A005010 | 9 18 36 72 144 288 576 1152 2304 4608 9216 18432 36864 73728 147456 294912 589824 1179648 2359296 | +| 31 | Nicomachus:Std | DiagCol3 | A175806 | 27 54 108 216 432 864 1728 3456 6912 13824 27648 55296 110592 221184 442368 884736 1769472 3538944 | +| 32 | Nicomachus:Std | Poly | missing | 1 2 1 4 5 1 8 19 8 1 16 65 52 11 1 32 211 320 103 14 1 64 665 1936 935 172 17 1 128 2059 11648 8431 | +| 33 | Nicomachus:Std | PolyRow1 | A016789 | 2 5 8 11 14 17 20 23 26 29 32 35 38 41 44 47 50 53 56 59 62 65 68 71 74 77 80 83 86 89 92 95 | +| 34 | Nicomachus:Std | PolyRow2 | missing | 4 19 52 103 172 259 364 487 628 787 964 1159 1372 1603 1852 2119 2404 2707 3028 3367 3724 4099 4492 | +| 35 | Nicomachus:Std | PolyRow3 | missing | 8 65 320 935 2072 3893 6560 10235 15080 21257 28928 38255 49400 62525 77792 95363 115400 138065 | +| 36 | Nicomachus:Std | PolyCol2 | A016129 | 1 8 52 320 1936 11648 69952 419840 2519296 15116288 90698752 544194560 3265171456 19591036928 | +| 37 | Nicomachus:Std | PolyCol3 | A016133 | 1 11 103 935 8431 75911 683263 6149495 55345711 498111911 4483008223 40347076055 363123688591 | +| 38 | Nicomachus:Std | PolyDiag | missing | 1 5 52 935 24880 876197 38263744 1990676795 120082160896 8235645283745 632667857142784 | +| 39 | Nicomachus:Alt | Triangle | A036561 | 1 2 -3 4 -6 9 8 -12 18 -27 16 -24 36 -54 81 32 -48 72 -108 162 -243 64 -96 144 -216 324 -486 729 | +| 40 | Nicomachus:Alt | Rev | A175840 | 1 -3 2 9 -6 4 -27 18 -12 8 81 -54 36 -24 16 -243 162 -108 72 -48 32 729 -486 324 -216 144 -96 64 | +| 41 | Nicomachus:Alt | Acc | missing | 1 2 -1 4 -2 7 8 -4 14 -13 16 -8 28 -26 55 32 -16 56 -52 110 -133 64 -32 112 -104 220 -266 463 128 | +| 42 | Nicomachus:Alt | AccRev | missing | 1 -3 -1 9 3 7 -27 -9 -21 -13 81 27 63 39 55 -243 -81 -189 -117 -165 -133 729 243 567 351 495 399 | +| 43 | Nicomachus:Alt | AntiDiag | missing | 1 2 4 -3 8 -6 16 -12 9 32 -24 18 64 -48 36 -27 128 -96 72 -54 256 -192 144 -108 81 512 -384 288 | +| 44 | Nicomachus:Alt | Diffx1 | missing | 1 2 -6 4 -12 27 8 -24 54 -108 16 -48 108 -216 405 32 -96 216 -432 810 -1458 64 -192 432 -864 1620 | +| 45 | Nicomachus:Alt | RowSum | B091005 | 1 -1 7 -13 55 -133 463 -1261 4039 -11605 35839 -105469 320503 -953317 2876335 -8596237 25854247 | +| 46 | Nicomachus:Alt | EvenSum | missing | 1 2 13 26 133 266 1261 2522 11605 23210 105469 210938 953317 1906634 8596237 17192474 77431669 | +| 47 | Nicomachus:Alt | OddSum | missing | 0 -3 -6 -39 -78 -399 -798 -3783 -7566 -34815 -69630 -316407 -632814 -2859951 -5719902 -25788711 | +| 48 | Nicomachus:Alt | AltSum | B001047 | 1 5 19 65 211 665 2059 6305 19171 58025 175099 527345 1586131 4766585 14316139 42981185 129009091 | +| 49 | Nicomachus:Alt | DiagSum | missing | 1 2 1 2 13 26 25 50 181 362 481 962 2653 5306 8425 16850 40261 80522 141361 282722 624493 1248986 | +| 50 | Nicomachus:Alt | AccSum | missing | 1 1 9 5 65 -3 457 -347 3345 -4915 26009 -53451 213601 -526115 1824105 -4948027 15958193 -45515283 | +| 51 | Nicomachus:Alt | AccRevSum | missing | 1 -4 19 -70 265 -928 3247 -11002 37045 -122740 404059 -1317646 4273441 -13773640 44197255 | +| 52 | Nicomachus:Alt | RowLcm | A000400 | 1 6 36 216 1296 7776 46656 279936 1679616 10077696 60466176 362797056 2176782336 13060694016 | +| 53 | Nicomachus:Alt | RowMax | A000244 | 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721 129140163 | +| 54 | Nicomachus:Alt | ColMiddle | A026549 | 1 2 -6 -12 36 72 -216 -432 1296 2592 -7776 -15552 46656 93312 -279936 -559872 1679616 3359232 | +| 55 | Nicomachus:Alt | CentralE | A000400 | 1 -6 36 -216 1296 -7776 46656 -279936 1679616 -10077696 60466176 -362797056 2176782336 -13060694016 | +| 56 | Nicomachus:Alt | CentralO | B167747 | 2 -12 72 -432 2592 -15552 93312 -559872 3359232 -20155392 120932352 -725594112 4353564672 | +| 57 | Nicomachus:Alt | ColLeft | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 58 | Nicomachus:Alt | ColRight | A000244 | 1 -3 9 -27 81 -243 729 -2187 6561 -19683 59049 -177147 531441 -1594323 4782969 -14348907 43046721 | +| 59 | Nicomachus:Alt | InvBinConv | A000351 | 1 -5 25 -125 625 -3125 15625 -78125 390625 -1953125 9765625 -48828125 244140625 -1220703125 | +| 60 | Nicomachus:Alt | TransNat0 | missing | 0 -3 12 -57 210 -795 2784 -9741 33006 -111135 368220 -1212177 3952938 -12820323 41320920 -132591765 | +| 61 | Nicomachus:Alt | TransNat1 | missing | 1 -4 19 -70 265 -928 3247 -11002 37045 -122740 404059 -1317646 4273441 -13773640 44197255 | +| 62 | Nicomachus:Alt | TransSqrs | missing | 0 -3 30 -183 930 -4215 17814 -71535 276834 -1040655 3823590 -13787607 48952290 -171536007 594389910 | +| 63 | Nicomachus:Alt | PosHalf | A053404 | 1 1 13 25 181 481 2653 8425 40261 141361 624493 2320825 9814741 37664641 155441533 607417225 | +| 64 | Nicomachus:Alt | NegHalf | B005061 | 1 -7 37 -175 781 -3367 14197 -58975 242461 -989527 4017157 -16245775 65514541 -263652487 1059392917 | +| 65 | Nicomachus:Alt | DiagRow1 | A008776 | 2 -6 18 -54 162 -486 1458 -4374 13122 -39366 118098 -354294 1062882 -3188646 9565938 -28697814 | +| 66 | Nicomachus:Alt | DiagRow2 | B003946 | 4 -12 36 -108 324 -972 2916 -8748 26244 -78732 236196 -708588 2125764 -6377292 19131876 -57395628 | +| 67 | Nicomachus:Alt | DiagRow3 | A005051 | 8 -24 72 -216 648 -1944 5832 -17496 52488 -157464 472392 -1417176 4251528 -12754584 38263752 | +| 68 | Nicomachus:Alt | DiagCol1 | A007283 | -3 -6 -12 -24 -48 -96 -192 -384 -768 -1536 -3072 -6144 -12288 -24576 -49152 -98304 -196608 -393216 | +| 69 | Nicomachus:Alt | DiagCol2 | A005010 | 9 18 36 72 144 288 576 1152 2304 4608 9216 18432 36864 73728 147456 294912 589824 1179648 2359296 | +| 70 | Nicomachus:Alt | DiagCol3 | A175806 | -27 -54 -108 -216 -432 -864 -1728 -3456 -6912 -13824 -27648 -55296 -110592 -221184 -442368 -884736 | +| 71 | Nicomachus:Alt | Poly | missing | 1 2 1 4 -1 1 8 7 -4 1 16 -13 28 -7 1 32 55 -160 67 -10 1 64 -133 976 -595 124 -13 1 128 463 -5824 | +| 72 | Nicomachus:Alt | PolyRow1 | A016777 | 2 -1 -4 -7 -10 -13 -16 -19 -22 -25 -28 -31 -34 -37 -40 -43 -46 -49 -52 -55 -58 -61 -64 -67 -70 -73 | +| 73 | Nicomachus:Alt | PolyRow2 | missing | 4 7 28 67 124 199 292 403 532 679 844 1027 1228 1447 1684 1939 2212 2503 2812 3139 3484 3847 4228 | +| 74 | Nicomachus:Alt | PolyRow3 | missing | 8 -13 -160 -595 -1480 -2977 -5248 -8455 -12760 -18325 -25312 -33883 -44200 -56425 -70720 -87247 | +| 75 | Nicomachus:Alt | PolyCol2 | B053524 | 1 -4 28 -160 976 -5824 35008 -209920 1259776 -7558144 45349888 -272097280 1632587776 -9795518464 | +| 76 | Nicomachus:Alt | PolyCol3 | missing | 1 -7 67 -595 5371 -48307 434827 -3913315 35220091 -316980307 2852823787 -25675412035 231078712411 | +| 77 | Nicomachus:Alt | PolyDiag | missing | 1 -1 28 -595 17776 -670033 30611008 -1644472135 101607982336 -7099694210125 553584375000064 | +| 78 | Nicomachus:Rev | Triangle | A175840 | 1 3 2 9 6 4 27 18 12 8 81 54 36 24 16 243 162 108 72 48 32 729 486 324 216 144 96 64 2187 1458 972 | +| 79 | Nicomachus:Rev | Acc | missing | 1 3 5 9 15 19 27 45 57 65 81 135 171 195 211 243 405 513 585 633 665 729 1215 1539 1755 1899 1995 | +| 80 | Nicomachus:Rev | AccRev | A230435 | 1 2 5 4 10 19 8 20 38 65 16 40 76 130 211 32 80 152 260 422 665 64 160 304 520 844 1330 2059 128 | +| 81 | Nicomachus:Rev | AntiDiag | missing | 1 3 9 2 27 6 81 18 4 243 54 12 729 162 36 8 2187 486 108 24 6561 1458 324 72 16 19683 4374 972 216 | +| 82 | Nicomachus:Rev | Diffx1 | missing | 1 3 4 9 12 12 27 36 36 32 81 108 108 96 80 243 324 324 288 240 192 729 972 972 864 720 576 448 2187 | +| 83 | Nicomachus:Rev | RowSum | B001047 | 1 5 19 65 211 665 2059 6305 19171 58025 175099 527345 1586131 4766585 14316139 42981185 129009091 | +| 84 | Nicomachus:Rev | EvenSum | B167910 | 1 3 13 39 133 399 1261 3783 11605 34815 105469 316407 953317 2859951 8596237 25788711 77431669 | +| 85 | Nicomachus:Rev | OddSum | missing | 0 2 6 26 78 266 798 2522 7566 23210 69630 210938 632814 1906634 5719902 17192474 51577422 154863338 | +| 86 | Nicomachus:Rev | AltSum | B015441 | 1 1 7 13 55 133 463 1261 4039 11605 35839 105469 320503 953317 2876335 8596237 25854247 77431669 | +| 87 | Nicomachus:Rev | DiagSum | B135247 | 1 3 11 33 103 309 935 2805 8431 25293 75911 227733 683263 2049789 6149495 18448485 55345711 | +| 88 | Nicomachus:Rev | AccSum | missing | 1 8 43 194 793 3044 11191 39878 138805 474440 1598419 5322602 17553937 57428396 186601327 602785166 | +| 89 | Nicomachus:Rev | AccRevSum | B066810 | 1 7 33 131 473 1611 5281 16867 52905 163835 502769 1532883 4651897 14070379 42456897 127894979 | +| 90 | Nicomachus:Rev | RowLcm | A000400 | 1 6 36 216 1296 7776 46656 279936 1679616 10077696 60466176 362797056 2176782336 13060694016 | +| 91 | Nicomachus:Rev | RowMax | A000244 | 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721 129140163 | +| 92 | Nicomachus:Rev | ColMiddle | A026532 | 1 3 6 18 36 108 216 648 1296 3888 7776 23328 46656 139968 279936 839808 1679616 5038848 10077696 | +| 93 | Nicomachus:Rev | CentralE | A000400 | 1 6 36 216 1296 7776 46656 279936 1679616 10077696 60466176 362797056 2176782336 13060694016 | +| 94 | Nicomachus:Rev | CentralO | A169604 | 3 18 108 648 3888 23328 139968 839808 5038848 30233088 181398528 1088391168 6530347008 39182082048 | +| 95 | Nicomachus:Rev | ColLeft | A000244 | 1 3 9 27 81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907 43046721 129140163 | +| 96 | Nicomachus:Rev | ColRight | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 97 | Nicomachus:Rev | BinConv | A000351 | 1 5 25 125 625 3125 15625 78125 390625 1953125 9765625 48828125 244140625 1220703125 6103515625 | +| 98 | Nicomachus:Rev | TransNat0 | missing | 0 2 14 66 262 946 3222 10562 33734 105810 327670 1005538 3065766 9303794 28140758 84913794 | +| 99 | Nicomachus:Rev | TransNat1 | B066810 | 1 7 33 131 473 1611 5281 16867 52905 163835 502769 1532883 4651897 14070379 42456897 127894979 | +| 100 | Nicomachus:Rev | TransSqrs | missing | 0 2 22 138 670 2810 10734 38474 131806 436890 1413070 4487018 14050878 43537082 133822510 408840330 | +| 101 | Nicomachus:Rev | PosHalf | A016129 | 1 8 52 320 1936 11648 69952 419840 2519296 15116288 90698752 544194560 3265171456 19591036928 | +| 102 | Nicomachus:Rev | NegHalf | B053524 | 1 -4 28 -160 976 -5824 35008 -209920 1259776 -7558144 45349888 -272097280 1632587776 -9795518464 | +| 103 | Nicomachus:Rev | DiagRow1 | A007283 | 3 6 12 24 48 96 192 384 768 1536 3072 6144 12288 24576 49152 98304 196608 393216 786432 1572864 | +| 104 | Nicomachus:Rev | DiagRow2 | A005010 | 9 18 36 72 144 288 576 1152 2304 4608 9216 18432 36864 73728 147456 294912 589824 1179648 2359296 | +| 105 | Nicomachus:Rev | DiagRow3 | A175806 | 27 54 108 216 432 864 1728 3456 6912 13824 27648 55296 110592 221184 442368 884736 1769472 3538944 | +| 106 | Nicomachus:Rev | DiagCol1 | A008776 | 2 6 18 54 162 486 1458 4374 13122 39366 118098 354294 1062882 3188646 9565938 28697814 86093442 | +| 107 | Nicomachus:Rev | DiagCol2 | B003946 | 4 12 36 108 324 972 2916 8748 26244 78732 236196 708588 2125764 6377292 19131876 57395628 172186884 | +| 108 | Nicomachus:Rev | DiagCol3 | A005051 | 8 24 72 216 648 1944 5832 17496 52488 157464 472392 1417176 4251528 12754584 38263752 114791256 | +| 109 | Nicomachus:Rev | Poly | missing | 1 3 1 9 5 1 27 19 7 1 81 65 37 9 1 243 211 175 63 11 1 729 665 781 405 97 13 1 2187 2059 3367 2511 | +| 110 | Nicomachus:Rev | PolyRow1 | A081874 | 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 | +| 111 | Nicomachus:Rev | PolyRow2 | missing | 9 19 37 63 97 139 189 247 313 387 469 559 657 763 877 999 1129 1267 1413 1567 1729 1899 2077 2263 | +| 112 | Nicomachus:Rev | PolyRow3 | missing | 27 65 175 405 803 1417 2295 3485 5035 6993 9407 12325 15795 19865 24583 29997 36155 43105 50895 | +| 113 | Nicomachus:Rev | PolyCol2 | B005061 | 1 7 37 175 781 3367 14197 58975 242461 989527 4017157 16245775 65514541 263652487 1059392917 | +| 114 | Nicomachus:Rev | PolyCol3 | A016137 | 1 9 63 405 2511 15309 92583 557685 3352671 20135709 120873303 725416965 4353033231 26119793709 | +| 115 | Nicomachus:Rev | PolyDiag | missing | 1 5 37 405 6505 142753 3981069 134162045 5286112081 238031144505 12047058813109 676579085816725 | \ No newline at end of file diff --git a/data/md/One.md b/data/md/One.md index 3e1ca1f..8bf4edd 100644 --- a/data/md/One.md +++ b/data/md/One.md @@ -1,82 +1,108 @@ -| | triangle | trait | anum | seq | -|---:|:------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | One:Std | Inv | A097806 | 1 -1 1 0 -1 1 0 0 -1 1 0 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 -1 1 0 | -| 1 | One:Std | RevInv | A103451 | 1 1 -1 1 -1 0 1 -1 0 0 1 -1 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 1 | -| 2 | One:Std | InvRev | A097806 | 1 -1 1 0 -1 1 0 0 -1 1 0 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 -1 1 0 | -| 3 | One:Std | Acc | A002260 | 1 1 2 1 2 3 1 2 3 4 1 2 3 4 5 1 2 3 4 5 6 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 9 1 2 3 4 5 | -| 4 | One:Std | AccRev | A002260 | 1 1 2 1 2 3 1 2 3 4 1 2 3 4 5 1 2 3 4 5 6 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 9 1 2 3 4 5 | -| 5 | One:Std | Diffx1 | A002260 | 1 1 2 1 2 3 1 2 3 4 1 2 3 4 5 1 2 3 4 5 6 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 9 1 2 3 4 5 | -| 6 | One:Std | RowSum | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 7 | One:Std | EvenSum | A008619 | 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 | -| 8 | One:Std | OddSum | A001057 | 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 | -| 9 | One:Std | AltSum | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | -| 10 | One:Std | DiagSum | A008619 | 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 | -| 11 | One:Std | AccSum | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | -| 12 | One:Std | AccRevSum | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | -| 13 | One:Std | BinConv | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 14 | One:Std | TransNat0 | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | -| 15 | One:Std | TransNat1 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | -| 16 | One:Std | TransSqrs | A000330 | 0 1 5 14 30 55 91 140 204 285 385 506 650 819 1015 1240 1496 1785 2109 2470 2870 3311 3795 4324 | -| 17 | One:Std | PosHalf | A060152 | 1 3 7 15 31 63 127 255 511 1023 2047 4095 8191 16383 32767 65535 131071 262143 524287 1048575 | -| 18 | One:Std | NegHalf | A077925 | 1 -1 3 -5 11 -21 43 -85 171 -341 683 -1365 2731 -5461 10923 -21845 43691 -87381 174763 -349525 | -| 19 | One:Std | Poly | A028657 | 1 1 1 1 2 1 1 3 3 1 1 4 7 4 1 1 5 15 13 5 1 1 6 31 40 21 6 1 1 7 63 121 85 31 7 1 1 8 127 364 341 | -| 20 | One:Std | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 21 | One:Std | PolyRow2 | A247890 | 1 3 7 13 21 31 43 57 73 91 111 133 157 183 211 241 273 307 343 381 421 463 507 553 601 651 703 757 | -| 22 | One:Std | PolyRow3 | A053698 | 1 4 15 40 85 156 259 400 585 820 1111 1464 1885 2380 2955 3616 4369 5220 6175 7240 8421 9724 11155 | -| 23 | One:Std | PolyCol2 | A060152 | 1 3 7 15 31 63 127 255 511 1023 2047 4095 8191 16383 32767 65535 131071 262143 524287 1048575 | -| 24 | One:Std | PolyCol3 | B003462 | 1 4 13 40 121 364 1093 3280 9841 29524 88573 265720 797161 2391484 7174453 21523360 64570081 | -| 25 | One:Std | PolyDiag | A031973 | 1 2 7 40 341 3906 55987 960800 19173961 435848050 11111111111 313842837672 9726655034461 | -| 26 | One:Inv | Triangle | A097806 | 1 -1 1 0 -1 1 0 0 -1 1 0 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 -1 1 0 | -| 27 | One:Inv | Rev | A103451 | 1 1 -1 1 -1 0 1 -1 0 0 1 -1 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 1 | -| 28 | One:Inv | Acc | A129186 | 1 -1 0 0 -1 0 0 0 -1 0 0 0 0 -1 0 0 0 0 0 -1 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 -1 0 0 | -| 29 | One:Inv | AccRev | A010054 | 1 1 0 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 | -| 30 | One:Inv | AntiDiag | A088517 | 1 -1 0 1 0 -1 0 0 1 0 0 -1 0 0 0 1 0 0 0 -1 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 0 1 0 0 0 0 0 -1 0 0 0 0 0 | -| 31 | One:Inv | Diffx1 | A128064 | 1 -1 2 0 -2 3 0 0 -3 4 0 0 0 -4 5 0 0 0 0 -5 6 0 0 0 0 0 -6 7 0 0 0 0 0 0 -7 8 0 0 0 0 0 0 0 -8 9 0 | -| 32 | One:Inv | OddSum | A011584 | 0 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 | -| 33 | One:Inv | AltSum | A036452 | 1 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 | -| 34 | One:Inv | ColMiddle | A014060 | 1 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 35 | One:Inv | CentralE | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 36 | One:Inv | ColLeft | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 37 | One:Inv | BinConv | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 38 | One:Inv | InvBinConv | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 39 | One:Inv | TransNat0 | A011584 | 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 40 | One:Inv | TransSqrs | A004273 | 0 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 | -| 41 | One:Inv | NegHalf | A087717 | 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | -| 42 | One:Inv | DiagCol1 | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 43 | One:Inv | DiagCol2 | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 44 | One:Inv | DiagCol3 | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 45 | One:Inv | Poly | missing | 1 -1 1 0 0 1 0 0 1 1 0 0 2 2 1 0 0 4 6 3 1 0 0 8 18 12 4 1 0 0 16 54 48 20 5 1 0 0 32 162 192 100 | -| 46 | One:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | -| 47 | One:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | -| 48 | One:Inv | PolyRow3 | A045991 | 0 0 4 18 48 100 180 294 448 648 900 1210 1584 2028 2548 3150 3840 4624 5508 6498 7600 8820 10164 | -| 49 | One:Inv | PolyCol2 | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 50 | One:Inv | PolyCol3 | A025192 | 1 2 6 18 54 162 486 1458 4374 13122 39366 118098 354294 1062882 3188646 9565938 28697814 86093442 | -| 51 | One:Inv | PolyDiag | A066274 | 1 0 2 18 192 2500 38880 705894 14680064 344373768 9000000000 259374246010 8173092077568 | -| 52 | One:Inv:Rev | Triangle | A103451 | 1 1 -1 1 -1 0 1 -1 0 0 1 -1 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 1 | -| 53 | One:Inv:Rev | Rev | A097806 | 1 -1 1 0 -1 1 0 0 -1 1 0 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 -1 1 0 | -| 54 | One:Inv:Rev | Acc | A010054 | 1 1 0 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 | -| 55 | One:Inv:Rev | AccRev | A129186 | 1 -1 0 0 -1 0 0 0 -1 0 0 0 0 -1 0 0 0 0 0 -1 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 -1 0 0 | -| 56 | One:Inv:Rev | AntiDiag | A365605 | 1 1 1 -1 1 -1 1 -1 0 1 -1 0 1 -1 0 0 1 -1 0 0 1 -1 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 1 -1 | -| 57 | One:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -2 0 1 -2 0 0 1 -2 0 0 0 1 -2 0 0 0 0 1 -2 0 0 0 0 0 1 -2 0 0 0 0 0 0 1 -2 0 0 0 0 0 0 0 1 | -| 58 | One:Inv:Rev | OddSum | A011584 | 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 | -| 59 | One:Inv:Rev | AltSum | A036452 | 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | -| 60 | One:Inv:Rev | DiagSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 61 | One:Inv:Rev | ColMiddle | A329678 | 1 1 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 62 | One:Inv:Rev | CentralE | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 63 | One:Inv:Rev | CentralO | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 64 | One:Inv:Rev | ColRight | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 65 | One:Inv:Rev | BinConv | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 66 | One:Inv:Rev | InvBinConv | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | -| 67 | One:Inv:Rev | TransNat0 | A011584 | 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 | -| 68 | One:Inv:Rev | TransSqrs | A011584 | 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 | -| 69 | One:Inv:Rev | PosHalf | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 70 | One:Inv:Rev | NegHalf | A003945 | 1 -3 6 -12 24 -48 96 -192 384 -768 1536 -3072 6144 -12288 24576 -49152 98304 -196608 393216 -786432 | -| 71 | One:Inv:Rev | DiagRow1 | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 72 | One:Inv:Rev | DiagRow2 | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 73 | One:Inv:Rev | DiagRow3 | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 74 | One:Inv:Rev | Poly | A362899 | 1 1 1 1 0 1 1 0 -1 1 1 0 -1 -2 1 1 0 -1 -2 -3 1 1 0 -1 -2 -3 -4 1 1 0 -1 -2 -3 -4 -5 1 1 0 -1 -2 -3 | -| 75 | One:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 76 | One:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 77 | One:Inv:Rev | PolyRow3 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 78 | One:Inv:Rev | PolyCol3 | A036452 | 1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 | -| 79 | One:Inv:Rev | PolyDiag | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | One:Std | Inv | A097806 | 1 -1 1 0 -1 1 0 0 -1 1 0 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 -1 1 0 | +| 1 | One:Std | RevInv | A103451 | 1 1 -1 1 -1 0 1 -1 0 0 1 -1 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 1 | +| 2 | One:Std | InvRev | A097806 | 1 -1 1 0 -1 1 0 0 -1 1 0 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 -1 1 0 | +| 3 | One:Std | Acc | A002260 | 1 1 2 1 2 3 1 2 3 4 1 2 3 4 5 1 2 3 4 5 6 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 9 1 2 3 4 5 | +| 4 | One:Std | AccRev | A002260 | 1 1 2 1 2 3 1 2 3 4 1 2 3 4 5 1 2 3 4 5 6 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 9 1 2 3 4 5 | +| 5 | One:Std | Diffx1 | A002260 | 1 1 2 1 2 3 1 2 3 4 1 2 3 4 5 1 2 3 4 5 6 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 9 1 2 3 4 5 | +| 6 | One:Std | RowSum | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 7 | One:Std | EvenSum | A008619 | 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 | +| 8 | One:Std | OddSum | A001057 | 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 | +| 9 | One:Std | AltSum | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | +| 10 | One:Std | DiagSum | A008619 | 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 | +| 11 | One:Std | AccSum | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 12 | One:Std | AccRevSum | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 13 | One:Std | BinConv | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 14 | One:Std | TransNat0 | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | +| 15 | One:Std | TransNat1 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 16 | One:Std | TransSqrs | A000330 | 0 1 5 14 30 55 91 140 204 285 385 506 650 819 1015 1240 1496 1785 2109 2470 2870 3311 3795 4324 | +| 17 | One:Std | PosHalf | A060152 | 1 3 7 15 31 63 127 255 511 1023 2047 4095 8191 16383 32767 65535 131071 262143 524287 1048575 | +| 18 | One:Std | NegHalf | A077925 | 1 -1 3 -5 11 -21 43 -85 171 -341 683 -1365 2731 -5461 10923 -21845 43691 -87381 174763 -349525 | +| 19 | One:Std | Poly | A028657 | 1 1 1 1 2 1 1 3 3 1 1 4 7 4 1 1 5 15 13 5 1 1 6 31 40 21 6 1 1 7 63 121 85 31 7 1 1 8 127 364 341 | +| 20 | One:Std | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 21 | One:Std | PolyRow2 | A247890 | 1 3 7 13 21 31 43 57 73 91 111 133 157 183 211 241 273 307 343 381 421 463 507 553 601 651 703 757 | +| 22 | One:Std | PolyRow3 | A053698 | 1 4 15 40 85 156 259 400 585 820 1111 1464 1885 2380 2955 3616 4369 5220 6175 7240 8421 9724 11155 | +| 23 | One:Std | PolyCol2 | A060152 | 1 3 7 15 31 63 127 255 511 1023 2047 4095 8191 16383 32767 65535 131071 262143 524287 1048575 | +| 24 | One:Std | PolyCol3 | B003462 | 1 4 13 40 121 364 1093 3280 9841 29524 88573 265720 797161 2391484 7174453 21523360 64570081 | +| 25 | One:Std | PolyDiag | A031973 | 1 2 7 40 341 3906 55987 960800 19173961 435848050 11111111111 313842837672 9726655034461 | +| 26 | One:Alt | Inv | missing | 1 -1 1 -2 1 1 0 0 -1 1 0 0 -2 1 1 0 0 0 0 -1 1 0 0 0 0 -2 1 1 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 -2 1 1 0 | +| 27 | One:Alt | RevInv | missing | 1 1 -1 1 1 -2 1 -1 0 0 1 1 -2 0 0 1 -1 0 0 0 0 1 1 -2 0 0 0 0 1 -1 0 0 0 0 0 0 1 1 -2 0 0 0 0 0 0 1 | +| 28 | One:Alt | InvRev | A097806 | 1 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 | +| 29 | One:Alt | Acc | A177990 | 1 1 0 1 0 1 1 0 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 | +| 30 | One:Alt | AccRev | A177990 | 1 -1 0 1 0 1 -1 0 -1 0 1 0 1 0 1 -1 0 -1 0 -1 0 1 0 1 0 1 0 1 -1 0 -1 0 -1 0 -1 0 1 0 1 0 1 0 1 0 1 | +| 31 | One:Alt | Diffx1 | A002260 | 1 1 -2 1 -2 3 1 -2 3 -4 1 -2 3 -4 5 1 -2 3 -4 5 -6 1 -2 3 -4 5 -6 7 1 -2 3 -4 5 -6 7 -8 1 -2 3 -4 5 | +| 32 | One:Alt | RowSum | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | +| 33 | One:Alt | EvenSum | A008619 | 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 | +| 34 | One:Alt | OddSum | A001057 | 0 -1 -1 -2 -2 -3 -3 -4 -4 -5 -5 -6 -6 -7 -7 -8 -8 -9 -9 -10 -10 -11 -11 -12 -12 -13 -13 -14 -14 -15 | +| 35 | One:Alt | AltSum | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 36 | One:Alt | DiagSum | A128130 | 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 | +| 37 | One:Alt | AccSum | A008619 | 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 | +| 38 | One:Alt | AccRevSum | A008619 | 1 -1 2 -2 3 -3 4 -4 5 -5 6 -6 7 -7 8 -8 9 -9 10 -10 11 -11 12 -12 13 -13 14 -14 15 -15 16 -16 | +| 39 | One:Alt | InvBinConv | A000079 | 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 -524288 | +| 40 | One:Alt | TransNat0 | A001057 | 0 -1 1 -2 2 -3 3 -4 4 -5 5 -6 6 -7 7 -8 8 -9 9 -10 10 -11 11 -12 12 -13 13 -14 14 -15 15 -16 | +| 41 | One:Alt | TransNat1 | A008619 | 1 -1 2 -2 3 -3 4 -4 5 -5 6 -6 7 -7 8 -8 9 -9 10 -10 11 -11 12 -12 13 -13 14 -14 15 -15 16 -16 | +| 42 | One:Alt | TransSqrs | A000217 | 0 -1 3 -6 10 -15 21 -28 36 -45 55 -66 78 -91 105 -120 136 -153 171 -190 210 -231 253 -276 300 -325 | +| 43 | One:Alt | PosHalf | A077925 | 1 1 3 5 11 21 43 85 171 341 683 1365 2731 5461 10923 21845 43691 87381 174763 349525 699051 1398101 | +| 44 | One:Alt | NegHalf | A060152 | 1 -3 7 -15 31 -63 127 -255 511 -1023 2047 -4095 8191 -16383 32767 -65535 131071 -262143 524287 | +| 45 | One:Alt | Poly | missing | 1 1 1 1 0 1 1 1 -1 1 1 0 3 -2 1 1 1 -5 7 -3 1 1 0 11 -20 13 -4 1 1 1 -21 61 -51 21 -5 1 1 0 43 -182 | +| 46 | One:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 47 | One:Alt | PolyRow2 | A002061 | 1 1 3 7 13 21 31 43 57 73 91 111 133 157 183 211 241 273 307 343 381 421 463 507 553 601 651 703 | +| 48 | One:Alt | PolyRow3 | A062158 | 1 0 -5 -20 -51 -104 -185 -300 -455 -656 -909 -1220 -1595 -2040 -2561 -3164 -3855 -4640 -5525 -6516 | +| 49 | One:Alt | PolyCol2 | A077925 | 1 -1 3 -5 11 -21 43 -85 171 -341 683 -1365 2731 -5461 10923 -21845 43691 -87381 174763 -349525 | +| 50 | One:Alt | PolyCol3 | B014983 | 1 -2 7 -20 61 -182 547 -1640 4921 -14762 44287 -132860 398581 -1195742 3587227 -10761680 32285041 | +| 51 | One:Alt | PolyDiag | A081209 | 1 0 3 -20 205 -2604 39991 -720600 14913081 -348678440 9090909091 -261535698060 8230246567621 | +| 52 | One:Inv | Triangle | A097806 | 1 -1 1 0 -1 1 0 0 -1 1 0 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 -1 1 0 | +| 53 | One:Inv | Rev | A103451 | 1 1 -1 1 -1 0 1 -1 0 0 1 -1 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 1 | +| 54 | One:Inv | Acc | A129186 | 1 -1 0 0 -1 0 0 0 -1 0 0 0 0 -1 0 0 0 0 0 -1 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 -1 0 0 | +| 55 | One:Inv | AccRev | A010054 | 1 1 0 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 | +| 56 | One:Inv | AntiDiag | A088517 | 1 -1 0 1 0 -1 0 0 1 0 0 -1 0 0 0 1 0 0 0 -1 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 0 1 0 0 0 0 0 -1 0 0 0 0 0 | +| 57 | One:Inv | Diffx1 | A128064 | 1 -1 2 0 -2 3 0 0 -3 4 0 0 0 -4 5 0 0 0 0 -5 6 0 0 0 0 0 -6 7 0 0 0 0 0 0 -7 8 0 0 0 0 0 0 0 -8 9 0 | +| 58 | One:Inv | OddSum | A011584 | 0 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 | +| 59 | One:Inv | AltSum | A036452 | 1 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 | +| 60 | One:Inv | ColMiddle | A014060 | 1 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 61 | One:Inv | CentralE | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 62 | One:Inv | ColLeft | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 63 | One:Inv | BinConv | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 64 | One:Inv | InvBinConv | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 65 | One:Inv | TransNat0 | A011584 | 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 66 | One:Inv | TransSqrs | A004273 | 0 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 | +| 67 | One:Inv | NegHalf | A087717 | 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | +| 68 | One:Inv | DiagCol1 | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 69 | One:Inv | DiagCol2 | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 70 | One:Inv | DiagCol3 | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 71 | One:Inv | Poly | missing | 1 -1 1 0 0 1 0 0 1 1 0 0 2 2 1 0 0 4 6 3 1 0 0 8 18 12 4 1 0 0 16 54 48 20 5 1 0 0 32 162 192 100 | +| 72 | One:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 73 | One:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 74 | One:Inv | PolyRow3 | A045991 | 0 0 4 18 48 100 180 294 448 648 900 1210 1584 2028 2548 3150 3840 4624 5508 6498 7600 8820 10164 | +| 75 | One:Inv | PolyCol2 | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 76 | One:Inv | PolyCol3 | A025192 | 1 2 6 18 54 162 486 1458 4374 13122 39366 118098 354294 1062882 3188646 9565938 28697814 86093442 | +| 77 | One:Inv | PolyDiag | A066274 | 1 0 2 18 192 2500 38880 705894 14680064 344373768 9000000000 259374246010 8173092077568 | +| 78 | One:Inv:Rev | Triangle | A103451 | 1 1 -1 1 -1 0 1 -1 0 0 1 -1 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 1 | +| 79 | One:Inv:Rev | Rev | A097806 | 1 -1 1 0 -1 1 0 0 -1 1 0 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 -1 1 0 | +| 80 | One:Inv:Rev | Acc | A010054 | 1 1 0 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 | +| 81 | One:Inv:Rev | AccRev | A129186 | 1 -1 0 0 -1 0 0 0 -1 0 0 0 0 -1 0 0 0 0 0 -1 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 -1 0 0 | +| 82 | One:Inv:Rev | AntiDiag | A365605 | 1 1 1 -1 1 -1 1 -1 0 1 -1 0 1 -1 0 0 1 -1 0 0 1 -1 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 1 -1 | +| 83 | One:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -2 0 1 -2 0 0 1 -2 0 0 0 1 -2 0 0 0 0 1 -2 0 0 0 0 0 1 -2 0 0 0 0 0 0 1 -2 0 0 0 0 0 0 0 1 | +| 84 | One:Inv:Rev | OddSum | A011584 | 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 | +| 85 | One:Inv:Rev | AltSum | A036452 | 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | +| 86 | One:Inv:Rev | DiagSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 87 | One:Inv:Rev | ColMiddle | A329678 | 1 1 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 88 | One:Inv:Rev | CentralE | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 89 | One:Inv:Rev | CentralO | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 90 | One:Inv:Rev | ColRight | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 91 | One:Inv:Rev | BinConv | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 92 | One:Inv:Rev | InvBinConv | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 93 | One:Inv:Rev | TransNat0 | A011584 | 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 | +| 94 | One:Inv:Rev | TransSqrs | A011584 | 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 | +| 95 | One:Inv:Rev | PosHalf | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 96 | One:Inv:Rev | NegHalf | A003945 | 1 -3 6 -12 24 -48 96 -192 384 -768 1536 -3072 6144 -12288 24576 -49152 98304 -196608 393216 -786432 | +| 97 | One:Inv:Rev | DiagRow1 | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 98 | One:Inv:Rev | DiagRow2 | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 99 | One:Inv:Rev | DiagRow3 | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 100 | One:Inv:Rev | Poly | A362899 | 1 1 1 1 0 1 1 0 -1 1 1 0 -1 -2 1 1 0 -1 -2 -3 1 1 0 -1 -2 -3 -4 1 1 0 -1 -2 -3 -4 -5 1 1 0 -1 -2 -3 | +| 101 | One:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 102 | One:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 103 | One:Inv:Rev | PolyRow3 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 104 | One:Inv:Rev | PolyCol3 | A036452 | 1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 | +| 105 | One:Inv:Rev | PolyDiag | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | \ No newline at end of file diff --git a/data/md/OrderedCycle.md b/data/md/OrderedCycle.md index 0f369cb..d223242 100644 --- a/data/md/OrderedCycle.md +++ b/data/md/OrderedCycle.md @@ -1,80 +1,120 @@ -| | triangle | trait | anum | seq | -|---:|:-----------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | OrderedCycle:Std | Triangle | A225479 | 1 0 1 0 1 2 0 2 6 6 0 6 22 36 24 0 24 100 210 240 120 0 120 548 1350 2040 1800 720 0 720 3528 9744 | -| 1 | OrderedCycle:Std | Rev | missing | 1 1 0 2 1 0 6 6 2 0 24 36 22 6 0 120 240 210 100 24 0 720 1800 2040 1350 548 120 0 5040 15120 21000 | -| 2 | OrderedCycle:Std | Acc | missing | 1 0 1 0 1 3 0 2 8 14 0 6 28 64 88 0 24 124 334 574 694 0 120 668 2018 4058 5858 6578 0 720 4248 | -| 3 | OrderedCycle:Std | AccRev | missing | 1 1 1 2 3 3 6 12 14 14 24 60 82 88 88 120 360 570 670 694 694 720 2520 4560 5910 6458 6578 6578 | -| 4 | OrderedCycle:Std | AntiDiag | missing | 1 0 0 1 0 1 0 2 2 0 6 6 0 24 22 6 0 120 100 36 0 720 548 210 24 0 5040 3528 1350 240 0 40320 26136 | -| 5 | OrderedCycle:Std | Diffx1 | missing | 1 0 2 0 2 6 0 4 18 24 0 12 66 144 120 0 48 300 840 1200 720 0 240 1644 5400 10200 10800 5040 0 1440 | -| 6 | OrderedCycle:Std | RowSum | A007840 | 1 1 3 14 88 694 6578 72792 920904 13109088 207360912 3608233056 68495486640 1408631978064 | -| 7 | OrderedCycle:Std | EvenSum | A052811 | 1 0 2 6 46 340 3308 36288 460752 6551424 103685232 1803956880 34247483664 704301934752 | -| 8 | OrderedCycle:Std | OddSum | missing | 0 1 1 8 42 354 3270 36504 460152 6557664 103675680 1804276176 34248002976 704330043312 | -| 9 | OrderedCycle:Std | AltSum | A006252 | 1 -1 1 -2 4 -14 38 -216 600 -6240 9552 -319296 -519312 -28108560 -176474352 -3998454144 | -| 10 | OrderedCycle:Std | DiagSum | B129841 | 1 0 1 1 4 12 52 256 1502 10158 78360 680280 6574872 70075416 816909816 10342968456 141357740736 | -| 11 | OrderedCycle:Std | AccSum | missing | 1 1 4 24 186 1750 19300 243768 3467184 54820848 953707008 18102106704 372250674576 8244093725712 | -| 12 | OrderedCycle:Std | AccRevSum | A052801 | 1 2 8 46 342 3108 33324 411360 5741856 89379120 1534623936 28804923024 586686138384 12885385945248 | -| 13 | OrderedCycle:Std | RowLcm | missing | 1 1 2 6 792 8400 25153200 76734000 763351047043200 2541777015532656545280 | -| 14 | OrderedCycle:Std | RowGcd | B075182 | 1 1 2 2 2 2 2 24 24 24 24 48 48 48 48 384 1152 1152 1152 2304 2304 11520 11520 46080 46080 414720 | -| 15 | OrderedCycle:Std | RowMax | A058583 | 1 1 2 6 36 240 2040 21000 235200 3265920 47628000 795175920 14411295360 279281882880 6049083680640 | -| 16 | OrderedCycle:Std | ColMiddle | A344498 | 1 0 1 2 22 100 1350 9744 162456 1614816 32319000 410031600 9604465200 148370508000 3986353491120 | -| 17 | OrderedCycle:Std | CentralE | missing | 1 1 22 1350 162456 32319000 9604465200 3986353491120 2202727143576960 1563325251963995520 | -| 18 | OrderedCycle:Std | CentralO | missing | 0 2 100 9744 1614816 410031600 148370508000 72622987557120 46243059751848960 37165349757066935040 | -| 19 | OrderedCycle:Std | ColRight | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 20 | OrderedCycle:Std | BinConv | A277759 | 1 1 4 30 324 4540 78060 1589448 37388400 997513200 29759790240 981669324240 35475203063520 | -| 21 | OrderedCycle:Std | InvBinConv | A308565 | 1 1 0 -6 -12 140 1020 -5208 -117264 -2448 17756640 117905040 -3177424800 -56997933408 523176632160 | -| 22 | OrderedCycle:Std | TransNat0 | A215916 | 0 1 5 32 254 2414 26746 338568 4820952 76270032 1327263024 25196689968 518190651744 11476753967184 | -| 23 | OrderedCycle:Std | TransNat1 | A052801 | 1 2 8 46 342 3108 33324 411360 5741856 89379120 1534623936 28804923024 586686138384 12885385945248 | -| 24 | OrderedCycle:Std | TransSqrs | missing | 0 1 9 80 802 9154 118022 1701048 27139608 475183584 9062172768 187025449104 4153589356128 | -| 25 | OrderedCycle:Std | PosHalf | A227917 | 1 1 4 26 232 2624 35888 575280 10569984 218911872 5044346112 127980834816 3544627393536 | -| 26 | OrderedCycle:Std | NegHalf | A354237 | 1 1 0 2 -8 64 -592 6768 -90624 1395840 -24292608 471453696 -10094066688 236340378624 -6007053852672 | -| 27 | OrderedCycle:Std | DiagRow1 | A180119 | 0 1 6 36 240 1800 15120 141120 1451520 16329600 199584000 2634508800 37362124800 566658892800 | -| 28 | OrderedCycle:Std | DiagRow2 | missing | 0 2 22 210 2040 21000 231840 2751840 35078400 479001600 6985440000 108453945600 1787154969600 | -| 29 | OrderedCycle:Std | DiagRow3 | missing | 0 6 100 1350 17640 235200 3265920 47628000 731808000 11855289600 202378176000 3636061228800 | -| 30 | OrderedCycle:Std | DiagCol1 | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 31 | OrderedCycle:Std | DiagCol2 | B052517 | 2 6 22 100 548 3528 26136 219168 2053152 21257280 241087680 2972885760 39605518080 566931294720 | -| 32 | OrderedCycle:Std | DiagCol3 | B052748 | 6 36 210 1350 9744 78792 708744 7036200 76521456 905507856 11589357312 159580302336 2352940786944 | -| 33 | OrderedCycle:Std | Poly | missing | 1 0 1 0 1 1 0 3 2 1 0 14 10 3 1 0 88 76 21 4 1 0 694 772 222 36 5 1 0 6578 9808 3132 488 55 6 1 0 | -| 34 | OrderedCycle:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 35 | OrderedCycle:Std | PolyRow2 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | -| 36 | OrderedCycle:Std | PolyRow3 | missing | 0 14 76 222 488 910 1524 2366 3472 4878 6620 8734 11256 14222 17668 21630 26144 31246 36972 43358 | -| 37 | OrderedCycle:Std | PolyCol2 | A088500 | 1 2 10 76 772 9808 149552 2660544 54093696 1237306560 31446049728 879119219328 26811313164672 | -| 38 | OrderedCycle:Std | PolyCol3 | A354263 | 1 3 21 222 3132 55242 1169262 28873800 814870584 25871762016 912684973968 35416732159872 | -| 39 | OrderedCycle:Std | PolyDiag | A317171 | 1 1 10 222 8824 553870 50545008 6328330344 1041597412224 218138133235680 56650689388344000 | -| 40 | OrderedCycle:Rev | Triangle | missing | 1 1 0 2 1 0 6 6 2 0 24 36 22 6 0 120 240 210 100 24 0 720 1800 2040 1350 548 120 0 5040 15120 21000 | -| 41 | OrderedCycle:Rev | Acc | missing | 1 1 1 2 3 3 6 12 14 14 24 60 82 88 88 120 360 570 670 694 694 720 2520 4560 5910 6458 6578 6578 | -| 42 | OrderedCycle:Rev | AccRev | missing | 1 0 1 0 1 3 0 2 8 14 0 6 28 64 88 0 24 124 334 574 694 0 120 668 2018 4058 5858 6578 0 720 4248 | -| 43 | OrderedCycle:Rev | AntiDiag | missing | 1 1 2 0 6 1 24 6 0 120 36 2 720 240 22 0 5040 1800 210 6 40320 15120 2040 100 0 362880 141120 21000 | -| 44 | OrderedCycle:Rev | Diffx1 | missing | 1 1 0 2 2 0 6 12 6 0 24 72 66 24 0 120 480 630 400 120 0 720 3600 6120 5400 2740 720 0 5040 30240 | -| 45 | OrderedCycle:Rev | RowSum | A007840 | 1 1 3 14 88 694 6578 72792 920904 13109088 207360912 3608233056 68495486640 1408631978064 | -| 46 | OrderedCycle:Rev | EvenSum | missing | 1 1 2 8 46 354 3308 36504 460752 6557664 103685232 1804276176 34247483664 704330043312 | -| 47 | OrderedCycle:Rev | OddSum | missing | 0 0 1 6 42 340 3270 36288 460152 6551424 103675680 1803956880 34248002976 704301934752 | -| 48 | OrderedCycle:Rev | AltSum | A006252 | 1 1 1 2 4 14 38 216 600 6240 9552 319296 -519312 28108560 -176474352 3998454144 -43985078784 | -| 49 | OrderedCycle:Rev | DiagSum | missing | 1 1 2 7 30 158 982 7056 57580 526374 5330348 59243304 717095904 9390932592 132304861512 | -| 50 | OrderedCycle:Rev | AccSum | A052801 | 1 2 8 46 342 3108 33324 411360 5741856 89379120 1534623936 28804923024 586686138384 12885385945248 | -| 51 | OrderedCycle:Rev | AccRevSum | missing | 1 1 4 24 186 1750 19300 243768 3467184 54820848 953707008 18102106704 372250674576 8244093725712 | -| 52 | OrderedCycle:Rev | RowLcm | missing | 1 1 2 6 792 8400 25153200 76734000 763351047043200 2541777015532656545280 | -| 53 | OrderedCycle:Rev | RowGcd | B075182 | 1 1 2 2 2 2 2 24 24 24 24 48 48 48 48 384 1152 1152 1152 2304 2304 11520 11520 46080 46080 414720 | -| 54 | OrderedCycle:Rev | RowMax | A058583 | 1 1 2 6 36 240 2040 21000 235200 3265920 47628000 795175920 14411295360 279281882880 6049083680640 | -| 55 | OrderedCycle:Rev | ColMiddle | missing | 1 1 1 6 22 210 1350 17640 162456 2693880 32319000 649479600 9604465200 226750764240 3986353491120 | -| 56 | OrderedCycle:Rev | CentralE | missing | 1 1 22 1350 162456 32319000 9604465200 3986353491120 2202727143576960 1563325251963995520 | -| 57 | OrderedCycle:Rev | CentralO | B238685 | 1 6 210 17640 2693880 649479600 226750764240 108116216208000 67478689070432640 53382381970299782400 | -| 58 | OrderedCycle:Rev | ColLeft | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 59 | OrderedCycle:Rev | BinConv | A277759 | 1 1 4 30 324 4540 78060 1589448 37388400 997513200 29759790240 981669324240 35475203063520 | -| 60 | OrderedCycle:Rev | InvBinConv | A308565 | 1 -1 0 6 -12 -140 1020 5208 -117264 2448 17756640 -117905040 -3177424800 56997933408 523176632160 | -| 61 | OrderedCycle:Rev | TransNat0 | missing | 0 0 1 10 98 1056 12722 170976 2546280 41711760 746346096 14493873648 303755187936 6835461747648 | -| 62 | OrderedCycle:Rev | TransNat1 | missing | 1 1 4 24 186 1750 19300 243768 3467184 54820848 953707008 18102106704 372250674576 8244093725712 | -| 63 | OrderedCycle:Rev | TransSqrs | missing | 0 0 1 14 178 2364 33878 527904 8942232 164159136 3253003488 69294469584 1580363790432 | -| 64 | OrderedCycle:Rev | PosHalf | A088500 | 1 2 10 76 772 9808 149552 2660544 54093696 1237306560 31446049728 879119219328 26811313164672 | -| 65 | OrderedCycle:Rev | NegHalf | A088501 | 1 -2 6 -28 172 -1328 12272 -132480 1633344 -22663104 349324608 -5923548288 109570736256 | -| 66 | OrderedCycle:Rev | DiagRow1 | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 67 | OrderedCycle:Rev | DiagRow2 | B052517 | 2 6 22 100 548 3528 26136 219168 2053152 21257280 241087680 2972885760 39605518080 566931294720 | -| 68 | OrderedCycle:Rev | DiagRow3 | B052748 | 6 36 210 1350 9744 78792 708744 7036200 76521456 905507856 11589357312 159580302336 2352940786944 | -| 69 | OrderedCycle:Rev | DiagCol1 | A180119 | 0 1 6 36 240 1800 15120 141120 1451520 16329600 199584000 2634508800 37362124800 566658892800 | -| 70 | OrderedCycle:Rev | DiagCol2 | missing | 0 2 22 210 2040 21000 231840 2751840 35078400 479001600 6985440000 108453945600 1787154969600 | -| 71 | OrderedCycle:Rev | DiagCol3 | missing | 0 6 100 1350 17640 235200 3265920 47628000 731808000 11855289600 202378176000 3636061228800 | -| 72 | OrderedCycle:Rev | Poly | missing | 1 1 1 2 1 1 6 3 1 1 24 14 4 1 1 120 88 26 5 1 1 720 694 232 42 6 1 1 5040 6578 2624 492 62 7 1 1 | -| 73 | OrderedCycle:Rev | PolyRow2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | -| 74 | OrderedCycle:Rev | PolyRow3 | B051890 | 6 14 26 42 62 86 114 146 182 222 266 314 366 422 482 546 614 686 762 842 926 1014 1106 1202 1302 | -| 75 | OrderedCycle:Rev | PolyCol2 | A227917 | 1 1 4 26 232 2624 35888 575280 10569984 218911872 5044346112 127980834816 3544627393536 | -| 76 | OrderedCycle:Rev | PolyCol3 | A352069 | 1 1 5 42 492 7374 134478 2887128 71281656 1988802720 61860849552 2121993490176 79566300371952 | -| 77 | OrderedCycle:Rev | PolyDiag | A352074 | 1 1 4 42 904 34070 2019888 174588120 20804747136 3276218158560 659664288364800 165425062846302336 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:-----------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | OrderedCycle:Std | Triangle | A225479 | 1 0 1 0 1 2 0 2 6 6 0 6 22 36 24 0 24 100 210 240 120 0 120 548 1350 2040 1800 720 0 720 3528 9744 | +| 1 | OrderedCycle:Std | Rev | missing | 1 1 0 2 1 0 6 6 2 0 24 36 22 6 0 120 240 210 100 24 0 720 1800 2040 1350 548 120 0 5040 15120 21000 | +| 2 | OrderedCycle:Std | Acc | missing | 1 0 1 0 1 3 0 2 8 14 0 6 28 64 88 0 24 124 334 574 694 0 120 668 2018 4058 5858 6578 0 720 4248 | +| 3 | OrderedCycle:Std | AccRev | missing | 1 1 1 2 3 3 6 12 14 14 24 60 82 88 88 120 360 570 670 694 694 720 2520 4560 5910 6458 6578 6578 | +| 4 | OrderedCycle:Std | AntiDiag | missing | 1 0 0 1 0 1 0 2 2 0 6 6 0 24 22 6 0 120 100 36 0 720 548 210 24 0 5040 3528 1350 240 0 40320 26136 | +| 5 | OrderedCycle:Std | Diffx1 | missing | 1 0 2 0 2 6 0 4 18 24 0 12 66 144 120 0 48 300 840 1200 720 0 240 1644 5400 10200 10800 5040 0 1440 | +| 6 | OrderedCycle:Std | RowSum | A007840 | 1 1 3 14 88 694 6578 72792 920904 13109088 207360912 3608233056 68495486640 1408631978064 | +| 7 | OrderedCycle:Std | EvenSum | A052811 | 1 0 2 6 46 340 3308 36288 460752 6551424 103685232 1803956880 34247483664 704301934752 | +| 8 | OrderedCycle:Std | OddSum | missing | 0 1 1 8 42 354 3270 36504 460152 6557664 103675680 1804276176 34248002976 704330043312 | +| 9 | OrderedCycle:Std | AltSum | A006252 | 1 -1 1 -2 4 -14 38 -216 600 -6240 9552 -319296 -519312 -28108560 -176474352 -3998454144 | +| 10 | OrderedCycle:Std | DiagSum | B129841 | 1 0 1 1 4 12 52 256 1502 10158 78360 680280 6574872 70075416 816909816 10342968456 141357740736 | +| 11 | OrderedCycle:Std | AccSum | missing | 1 1 4 24 186 1750 19300 243768 3467184 54820848 953707008 18102106704 372250674576 8244093725712 | +| 12 | OrderedCycle:Std | AccRevSum | A052801 | 1 2 8 46 342 3108 33324 411360 5741856 89379120 1534623936 28804923024 586686138384 12885385945248 | +| 13 | OrderedCycle:Std | RowLcm | missing | 1 1 2 6 792 8400 25153200 76734000 763351047043200 2541777015532656545280 | +| 14 | OrderedCycle:Std | RowGcd | B075182 | 1 1 2 2 2 2 2 24 24 24 24 48 48 48 48 384 1152 1152 1152 2304 2304 11520 11520 46080 46080 414720 | +| 15 | OrderedCycle:Std | RowMax | A058583 | 1 1 2 6 36 240 2040 21000 235200 3265920 47628000 795175920 14411295360 279281882880 6049083680640 | +| 16 | OrderedCycle:Std | ColMiddle | A344498 | 1 0 1 2 22 100 1350 9744 162456 1614816 32319000 410031600 9604465200 148370508000 3986353491120 | +| 17 | OrderedCycle:Std | CentralE | missing | 1 1 22 1350 162456 32319000 9604465200 3986353491120 2202727143576960 1563325251963995520 | +| 18 | OrderedCycle:Std | CentralO | missing | 0 2 100 9744 1614816 410031600 148370508000 72622987557120 46243059751848960 37165349757066935040 | +| 19 | OrderedCycle:Std | ColRight | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 20 | OrderedCycle:Std | BinConv | A277759 | 1 1 4 30 324 4540 78060 1589448 37388400 997513200 29759790240 981669324240 35475203063520 | +| 21 | OrderedCycle:Std | InvBinConv | A308565 | 1 1 0 -6 -12 140 1020 -5208 -117264 -2448 17756640 117905040 -3177424800 -56997933408 523176632160 | +| 22 | OrderedCycle:Std | TransNat0 | A215916 | 0 1 5 32 254 2414 26746 338568 4820952 76270032 1327263024 25196689968 518190651744 11476753967184 | +| 23 | OrderedCycle:Std | TransNat1 | A052801 | 1 2 8 46 342 3108 33324 411360 5741856 89379120 1534623936 28804923024 586686138384 12885385945248 | +| 24 | OrderedCycle:Std | TransSqrs | missing | 0 1 9 80 802 9154 118022 1701048 27139608 475183584 9062172768 187025449104 4153589356128 | +| 25 | OrderedCycle:Std | PosHalf | A227917 | 1 1 4 26 232 2624 35888 575280 10569984 218911872 5044346112 127980834816 3544627393536 | +| 26 | OrderedCycle:Std | NegHalf | A354237 | 1 1 0 2 -8 64 -592 6768 -90624 1395840 -24292608 471453696 -10094066688 236340378624 -6007053852672 | +| 27 | OrderedCycle:Std | DiagRow1 | A180119 | 0 1 6 36 240 1800 15120 141120 1451520 16329600 199584000 2634508800 37362124800 566658892800 | +| 28 | OrderedCycle:Std | DiagRow2 | missing | 0 2 22 210 2040 21000 231840 2751840 35078400 479001600 6985440000 108453945600 1787154969600 | +| 29 | OrderedCycle:Std | DiagRow3 | missing | 0 6 100 1350 17640 235200 3265920 47628000 731808000 11855289600 202378176000 3636061228800 | +| 30 | OrderedCycle:Std | DiagCol1 | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 31 | OrderedCycle:Std | DiagCol2 | B052517 | 2 6 22 100 548 3528 26136 219168 2053152 21257280 241087680 2972885760 39605518080 566931294720 | +| 32 | OrderedCycle:Std | DiagCol3 | B052748 | 6 36 210 1350 9744 78792 708744 7036200 76521456 905507856 11589357312 159580302336 2352940786944 | +| 33 | OrderedCycle:Std | Poly | missing | 1 0 1 0 1 1 0 3 2 1 0 14 10 3 1 0 88 76 21 4 1 0 694 772 222 36 5 1 0 6578 9808 3132 488 55 6 1 0 | +| 34 | OrderedCycle:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 35 | OrderedCycle:Std | PolyRow2 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | +| 36 | OrderedCycle:Std | PolyRow3 | missing | 0 14 76 222 488 910 1524 2366 3472 4878 6620 8734 11256 14222 17668 21630 26144 31246 36972 43358 | +| 37 | OrderedCycle:Std | PolyCol2 | A088500 | 1 2 10 76 772 9808 149552 2660544 54093696 1237306560 31446049728 879119219328 26811313164672 | +| 38 | OrderedCycle:Std | PolyCol3 | A354263 | 1 3 21 222 3132 55242 1169262 28873800 814870584 25871762016 912684973968 35416732159872 | +| 39 | OrderedCycle:Std | PolyDiag | A317171 | 1 1 10 222 8824 553870 50545008 6328330344 1041597412224 218138133235680 56650689388344000 | +| 40 | OrderedCycle:Alt | Triangle | A225479 | 1 0 -1 0 -1 2 0 -2 6 -6 0 -6 22 -36 24 0 -24 100 -210 240 -120 0 -120 548 -1350 2040 -1800 720 0 | +| 41 | OrderedCycle:Alt | Rev | missing | 1 -1 0 2 -1 0 -6 6 -2 0 24 -36 22 -6 0 -120 240 -210 100 -24 0 720 -1800 2040 -1350 548 -120 0 | +| 42 | OrderedCycle:Alt | Acc | missing | 1 0 -1 0 -1 1 0 -2 4 -2 0 -6 16 -20 4 0 -24 76 -134 106 -14 0 -120 428 -922 1118 -682 38 0 -720 | +| 43 | OrderedCycle:Alt | AccRev | missing | 1 -1 -1 2 1 1 -6 0 -2 -2 24 -12 10 4 4 -120 120 -90 10 -14 -14 720 -1080 960 -390 158 38 38 -5040 | +| 44 | OrderedCycle:Alt | AntiDiag | missing | 1 0 0 -1 0 -1 0 -2 2 0 -6 6 0 -24 22 -6 0 -120 100 -36 0 -720 548 -210 24 0 -5040 3528 -1350 240 0 | +| 45 | OrderedCycle:Alt | Diffx1 | missing | 1 0 -2 0 -2 6 0 -4 18 -24 0 -12 66 -144 120 0 -48 300 -840 1200 -720 0 -240 1644 -5400 10200 -10800 | +| 46 | OrderedCycle:Alt | RowSum | A006252 | 1 -1 1 -2 4 -14 38 -216 600 -6240 9552 -319296 -519312 -28108560 -176474352 -3998454144 | +| 47 | OrderedCycle:Alt | EvenSum | A052811 | 1 0 2 6 46 340 3308 36288 460752 6551424 103685232 1803956880 34247483664 704301934752 | +| 48 | OrderedCycle:Alt | OddSum | missing | 0 -1 -1 -8 -42 -354 -3270 -36504 -460152 -6557664 -103675680 -1804276176 -34248002976 -704330043312 | +| 49 | OrderedCycle:Alt | AltSum | A007840 | 1 1 3 14 88 694 6578 72792 920904 13109088 207360912 3608233056 68495486640 1408631978064 | +| 50 | OrderedCycle:Alt | DiagSum | missing | 1 0 -1 -1 0 0 -8 -56 -358 -2622 -22008 -206664 -2142216 -24300984 -299534136 -3987009096 | +| 51 | OrderedCycle:Alt | AccSum | missing | 1 -1 0 0 -6 10 -140 168 -5040 -2928 -300192 -1157904 -29147184 -232691472 -4351402848 -51981987072 | +| 52 | OrderedCycle:Alt | AccRevSum | A317280 | 1 -2 4 -10 30 -108 444 -2112 11040 -65712 414816 -2992944 21876816 -188936928 1527813216 | +| 53 | OrderedCycle:Alt | RowLcm | missing | 1 1 2 6 792 8400 25153200 76734000 763351047043200 2541777015532656545280 | +| 54 | OrderedCycle:Alt | RowGcd | B075182 | 1 1 2 2 2 2 2 24 24 24 24 48 48 48 48 384 1152 1152 1152 2304 2304 11520 11520 46080 46080 414720 | +| 55 | OrderedCycle:Alt | RowMax | A058583 | 1 1 2 6 36 240 2040 21000 235200 3265920 47628000 795175920 14411295360 279281882880 6049083680640 | +| 56 | OrderedCycle:Alt | ColMiddle | A344498 | 1 0 -1 -2 22 100 -1350 -9744 162456 1614816 -32319000 -410031600 9604465200 148370508000 | +| 57 | OrderedCycle:Alt | CentralE | missing | 1 -1 22 -1350 162456 -32319000 9604465200 -3986353491120 2202727143576960 -1563325251963995520 | +| 58 | OrderedCycle:Alt | CentralO | missing | 0 -2 100 -9744 1614816 -410031600 148370508000 -72622987557120 46243059751848960 | +| 59 | OrderedCycle:Alt | ColRight | A000142 | 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | +| 60 | OrderedCycle:Alt | BinConv | A308565 | 1 -1 0 6 -12 -140 1020 5208 -117264 2448 17756640 -117905040 -3177424800 56997933408 523176632160 | +| 61 | OrderedCycle:Alt | InvBinConv | A277759 | 1 -1 4 -30 324 -4540 78060 -1589448 37388400 -997513200 29759790240 -981669324240 35475203063520 | +| 62 | OrderedCycle:Alt | TransNat0 | A320344 | 0 -1 3 -8 26 -94 406 -1896 10440 -59472 405264 -2673648 22396128 -160828368 1704287568 -11993279232 | +| 63 | OrderedCycle:Alt | TransNat1 | A317280 | 1 -2 4 -10 30 -108 444 -2112 11040 -65712 414816 -2992944 21876816 -188936928 1527813216 | +| 64 | OrderedCycle:Alt | TransSqrs | missing | 0 -1 7 -32 142 -674 3482 -19704 121512 -815328 5906208 -46139664 385308960 -3445291056 32621204400 | +| 65 | OrderedCycle:Alt | PosHalf | A354237 | 1 -1 0 -2 -8 -64 -592 -6768 -90624 -1395840 -24292608 -471453696 -10094066688 -236340378624 | +| 66 | OrderedCycle:Alt | NegHalf | A227917 | 1 -1 4 -26 232 -2624 35888 -575280 10569984 -218911872 5044346112 -127980834816 3544627393536 | +| 67 | OrderedCycle:Alt | DiagRow1 | A180119 | 0 -1 6 -36 240 -1800 15120 -141120 1451520 -16329600 199584000 -2634508800 37362124800 | +| 68 | OrderedCycle:Alt | DiagRow2 | missing | 0 -2 22 -210 2040 -21000 231840 -2751840 35078400 -479001600 6985440000 -108453945600 1787154969600 | +| 69 | OrderedCycle:Alt | DiagRow3 | missing | 0 -6 100 -1350 17640 -235200 3265920 -47628000 731808000 -11855289600 202378176000 -3636061228800 | +| 70 | OrderedCycle:Alt | DiagCol1 | A000142 | -1 -1 -2 -6 -24 -120 -720 -5040 -40320 -362880 -3628800 -39916800 -479001600 -6227020800 | +| 71 | OrderedCycle:Alt | DiagCol2 | B052517 | 2 6 22 100 548 3528 26136 219168 2053152 21257280 241087680 2972885760 39605518080 566931294720 | +| 72 | OrderedCycle:Alt | DiagCol3 | B052748 | -6 -36 -210 -1350 -9744 -78792 -708744 -7036200 -76521456 -905507856 -11589357312 -159580302336 | +| 73 | OrderedCycle:Alt | Poly | missing | 1 0 1 0 -1 1 0 1 -2 1 0 -2 6 -3 1 0 4 -28 15 -4 1 0 -14 172 -114 28 -5 1 0 38 -1328 1152 -296 45 -6 | +| 74 | OrderedCycle:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | OrderedCycle:Alt | PolyRow2 | A000384 | 0 1 6 15 28 45 66 91 120 153 190 231 276 325 378 435 496 561 630 703 780 861 946 1035 1128 1225 | +| 76 | OrderedCycle:Alt | PolyRow3 | A213829 | 0 -2 -28 -114 -296 -610 -1092 -1778 -2704 -3906 -5420 -7282 -9528 -12194 -15316 -18930 -23072 | +| 77 | OrderedCycle:Alt | PolyCol2 | A088501 | 1 -2 6 -28 172 -1328 12272 -132480 1633344 -22663104 349324608 -5923548288 109570736256 | +| 78 | OrderedCycle:Alt | PolyCol3 | A335531 | 1 -3 15 -114 1152 -14562 220842 -3907656 79019496 -1797660000 45439902288 -1263456328032 | +| 79 | OrderedCycle:Alt | PolyDiag | A317172 | 1 -1 6 -114 4168 -248870 21966768 -2685571560 434202400896 -89679267601632 23032451508686400 | +| 80 | OrderedCycle:Rev | Triangle | missing | 1 1 0 2 1 0 6 6 2 0 24 36 22 6 0 120 240 210 100 24 0 720 1800 2040 1350 548 120 0 5040 15120 21000 | +| 81 | OrderedCycle:Rev | Acc | missing | 1 1 1 2 3 3 6 12 14 14 24 60 82 88 88 120 360 570 670 694 694 720 2520 4560 5910 6458 6578 6578 | +| 82 | OrderedCycle:Rev | AccRev | missing | 1 0 1 0 1 3 0 2 8 14 0 6 28 64 88 0 24 124 334 574 694 0 120 668 2018 4058 5858 6578 0 720 4248 | +| 83 | OrderedCycle:Rev | AntiDiag | missing | 1 1 2 0 6 1 24 6 0 120 36 2 720 240 22 0 5040 1800 210 6 40320 15120 2040 100 0 362880 141120 21000 | +| 84 | OrderedCycle:Rev | Diffx1 | missing | 1 1 0 2 2 0 6 12 6 0 24 72 66 24 0 120 480 630 400 120 0 720 3600 6120 5400 2740 720 0 5040 30240 | +| 85 | OrderedCycle:Rev | RowSum | A007840 | 1 1 3 14 88 694 6578 72792 920904 13109088 207360912 3608233056 68495486640 1408631978064 | +| 86 | OrderedCycle:Rev | EvenSum | missing | 1 1 2 8 46 354 3308 36504 460752 6557664 103685232 1804276176 34247483664 704330043312 | +| 87 | OrderedCycle:Rev | OddSum | missing | 0 0 1 6 42 340 3270 36288 460152 6551424 103675680 1803956880 34248002976 704301934752 | +| 88 | OrderedCycle:Rev | AltSum | A006252 | 1 1 1 2 4 14 38 216 600 6240 9552 319296 -519312 28108560 -176474352 3998454144 -43985078784 | +| 89 | OrderedCycle:Rev | DiagSum | missing | 1 1 2 7 30 158 982 7056 57580 526374 5330348 59243304 717095904 9390932592 132304861512 | +| 90 | OrderedCycle:Rev | AccSum | A052801 | 1 2 8 46 342 3108 33324 411360 5741856 89379120 1534623936 28804923024 586686138384 12885385945248 | +| 91 | OrderedCycle:Rev | AccRevSum | missing | 1 1 4 24 186 1750 19300 243768 3467184 54820848 953707008 18102106704 372250674576 8244093725712 | +| 92 | OrderedCycle:Rev | RowLcm | missing | 1 1 2 6 792 8400 25153200 76734000 763351047043200 2541777015532656545280 | +| 93 | OrderedCycle:Rev | RowGcd | B075182 | 1 1 2 2 2 2 2 24 24 24 24 48 48 48 48 384 1152 1152 1152 2304 2304 11520 11520 46080 46080 414720 | +| 94 | OrderedCycle:Rev | RowMax | A058583 | 1 1 2 6 36 240 2040 21000 235200 3265920 47628000 795175920 14411295360 279281882880 6049083680640 | +| 95 | OrderedCycle:Rev | ColMiddle | missing | 1 1 1 6 22 210 1350 17640 162456 2693880 32319000 649479600 9604465200 226750764240 3986353491120 | +| 96 | OrderedCycle:Rev | CentralE | missing | 1 1 22 1350 162456 32319000 9604465200 3986353491120 2202727143576960 1563325251963995520 | +| 97 | OrderedCycle:Rev | CentralO | B238685 | 1 6 210 17640 2693880 649479600 226750764240 108116216208000 67478689070432640 53382381970299782400 | +| 98 | OrderedCycle:Rev | ColLeft | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 99 | OrderedCycle:Rev | BinConv | A277759 | 1 1 4 30 324 4540 78060 1589448 37388400 997513200 29759790240 981669324240 35475203063520 | +| 100 | OrderedCycle:Rev | InvBinConv | A308565 | 1 -1 0 6 -12 -140 1020 5208 -117264 2448 17756640 -117905040 -3177424800 56997933408 523176632160 | +| 101 | OrderedCycle:Rev | TransNat0 | missing | 0 0 1 10 98 1056 12722 170976 2546280 41711760 746346096 14493873648 303755187936 6835461747648 | +| 102 | OrderedCycle:Rev | TransNat1 | missing | 1 1 4 24 186 1750 19300 243768 3467184 54820848 953707008 18102106704 372250674576 8244093725712 | +| 103 | OrderedCycle:Rev | TransSqrs | missing | 0 0 1 14 178 2364 33878 527904 8942232 164159136 3253003488 69294469584 1580363790432 | +| 104 | OrderedCycle:Rev | PosHalf | A088500 | 1 2 10 76 772 9808 149552 2660544 54093696 1237306560 31446049728 879119219328 26811313164672 | +| 105 | OrderedCycle:Rev | NegHalf | A088501 | 1 -2 6 -28 172 -1328 12272 -132480 1633344 -22663104 349324608 -5923548288 109570736256 | +| 106 | OrderedCycle:Rev | DiagRow1 | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 107 | OrderedCycle:Rev | DiagRow2 | B052517 | 2 6 22 100 548 3528 26136 219168 2053152 21257280 241087680 2972885760 39605518080 566931294720 | +| 108 | OrderedCycle:Rev | DiagRow3 | B052748 | 6 36 210 1350 9744 78792 708744 7036200 76521456 905507856 11589357312 159580302336 2352940786944 | +| 109 | OrderedCycle:Rev | DiagCol1 | A180119 | 0 1 6 36 240 1800 15120 141120 1451520 16329600 199584000 2634508800 37362124800 566658892800 | +| 110 | OrderedCycle:Rev | DiagCol2 | missing | 0 2 22 210 2040 21000 231840 2751840 35078400 479001600 6985440000 108453945600 1787154969600 | +| 111 | OrderedCycle:Rev | DiagCol3 | missing | 0 6 100 1350 17640 235200 3265920 47628000 731808000 11855289600 202378176000 3636061228800 | +| 112 | OrderedCycle:Rev | Poly | missing | 1 1 1 2 1 1 6 3 1 1 24 14 4 1 1 120 88 26 5 1 1 720 694 232 42 6 1 1 5040 6578 2624 492 62 7 1 1 | +| 113 | OrderedCycle:Rev | PolyRow2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | +| 114 | OrderedCycle:Rev | PolyRow3 | B051890 | 6 14 26 42 62 86 114 146 182 222 266 314 366 422 482 546 614 686 762 842 926 1014 1106 1202 1302 | +| 115 | OrderedCycle:Rev | PolyCol2 | A227917 | 1 1 4 26 232 2624 35888 575280 10569984 218911872 5044346112 127980834816 3544627393536 | +| 116 | OrderedCycle:Rev | PolyCol3 | A352069 | 1 1 5 42 492 7374 134478 2887128 71281656 1988802720 61860849552 2121993490176 79566300371952 | +| 117 | OrderedCycle:Rev | PolyDiag | A352074 | 1 1 4 42 904 34070 2019888 174588120 20804747136 3276218158560 659664288364800 165425062846302336 | \ No newline at end of file diff --git a/data/md/Ordinals.md b/data/md/Ordinals.md index 129612d..555d70a 100644 --- a/data/md/Ordinals.md +++ b/data/md/Ordinals.md @@ -1,78 +1,117 @@ -| | triangle | trait | anum | seq | -|---:|:-------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | Ordinals:Std | Triangle | A002262 | 0 0 1 0 1 2 0 1 2 3 0 1 2 3 4 0 1 2 3 4 5 0 1 2 3 4 5 6 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 8 0 1 2 3 4 | -| 1 | Ordinals:Std | Rev | A025581 | 0 1 0 2 1 0 3 2 1 0 4 3 2 1 0 5 4 3 2 1 0 6 5 4 3 2 1 0 7 6 5 4 3 2 1 0 8 7 6 5 4 3 2 1 0 9 8 7 6 5 | -| 2 | Ordinals:Std | Acc | A112367 | 0 0 1 0 1 3 0 1 3 6 0 1 3 6 10 0 1 3 6 10 15 0 1 3 6 10 15 21 0 1 3 6 10 15 21 28 0 1 3 6 10 15 21 | -| 3 | Ordinals:Std | AccRev | A141418 | 0 1 1 2 3 3 3 5 6 6 4 7 9 10 10 5 9 12 14 15 15 6 11 15 18 20 21 21 7 13 18 22 25 27 28 28 8 15 21 | -| 4 | Ordinals:Std | AntiDiag | A022333 | 0 0 0 1 0 1 0 1 2 0 1 2 0 1 2 3 0 1 2 3 0 1 2 3 4 0 1 2 3 4 0 1 2 3 4 5 0 1 2 3 4 5 0 1 2 3 4 5 6 0 | -| 5 | Ordinals:Std | Diffx1 | missing | 0 0 2 0 2 6 0 2 6 12 0 2 6 12 20 0 2 6 12 20 30 0 2 6 12 20 30 42 0 2 6 12 20 30 42 56 0 2 6 12 20 | -| 6 | Ordinals:Std | RowSum | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | -| 7 | Ordinals:Std | EvenSum | A110660 | 0 0 2 2 6 6 12 12 20 20 30 30 42 42 56 56 72 72 90 90 110 110 132 132 156 156 182 182 210 210 240 | -| 8 | Ordinals:Std | OddSum | B008794 | 0 1 1 4 4 9 9 16 16 25 25 36 36 49 49 64 64 81 81 100 100 121 121 144 144 169 169 196 196 225 225 | -| 9 | Ordinals:Std | AltSum | A001057 | 0 -1 1 -2 2 -3 3 -4 4 -5 5 -6 6 -7 7 -8 8 -9 9 -10 10 -11 11 -12 12 -13 13 -14 14 -15 15 -16 | -| 10 | Ordinals:Std | DiagSum | B008805 | 0 0 1 1 3 3 6 6 10 10 15 15 21 21 28 28 36 36 45 45 55 55 66 66 78 78 91 91 105 105 120 120 | -| 11 | Ordinals:Std | AccSum | A000292 | 0 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 | -| 12 | Ordinals:Std | AccRevSum | B007290 | 0 2 8 20 40 70 112 168 240 330 440 572 728 910 1120 1360 1632 1938 2280 2660 3080 3542 4048 4600 | -| 13 | Ordinals:Std | RowLcm | A003418 | 1 1 2 6 12 60 60 420 840 2520 2520 27720 27720 360360 360360 360360 720720 12252240 12252240 | -| 14 | Ordinals:Std | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 15 | Ordinals:Std | RowMax | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 16 | Ordinals:Std | ColMiddle | A004526 | 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 | -| 17 | Ordinals:Std | CentralE | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 | -| 18 | Ordinals:Std | CentralO | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 | -| 19 | Ordinals:Std | ColRight | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 20 | Ordinals:Std | BinConv | A001787 | 0 1 4 12 32 80 192 448 1024 2304 5120 11264 24576 53248 114688 245760 524288 1114112 2359296 | -| 21 | Ordinals:Std | InvBinConv | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 22 | Ordinals:Std | TransNat0 | A000330 | 0 1 5 14 30 55 91 140 204 285 385 506 650 819 1015 1240 1496 1785 2109 2470 2870 3311 3795 4324 | -| 23 | Ordinals:Std | TransNat1 | B007290 | 0 2 8 20 40 70 112 168 240 330 440 572 728 910 1120 1360 1632 1938 2280 2660 3080 3542 4048 4600 | -| 24 | Ordinals:Std | TransSqrs | A000537 | 0 1 9 36 100 225 441 784 1296 2025 3025 4356 6084 8281 11025 14400 18496 23409 29241 36100 44100 | -| 25 | Ordinals:Std | PosHalf | A125128 | 0 1 4 11 26 57 120 247 502 1013 2036 4083 8178 16369 32752 65519 131054 262125 524268 1048555 | -| 26 | Ordinals:Std | NegHalf | A053088 | 0 1 0 3 -2 9 -12 31 -54 117 -224 459 -906 1825 -3636 7287 -14558 29133 -58248 116515 -233010 466041 | -| 27 | Ordinals:Std | DiagRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 28 | Ordinals:Std | DiagRow2 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 29 | Ordinals:Std | DiagRow3 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 30 | Ordinals:Std | DiagCol2 | A007395 | 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | -| 31 | Ordinals:Std | DiagCol3 | A010701 | 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | -| 32 | Ordinals:Std | Poly | missing | 0 0 0 0 1 0 0 3 2 0 0 6 10 3 0 0 10 34 21 4 0 0 15 98 102 36 5 0 0 21 258 426 228 55 6 0 0 28 642 | -| 33 | Ordinals:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 34 | Ordinals:Std | PolyRow2 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | -| 35 | Ordinals:Std | PolyRow3 | A067389 | 0 6 34 102 228 430 726 1134 1672 2358 3210 4246 5484 6942 8638 10590 12816 15334 18162 21318 24820 | -| 36 | Ordinals:Std | PolyCol2 | A036799 | 0 2 10 34 98 258 642 1538 3586 8194 18434 40962 90114 196610 425986 917506 1966082 4194306 8912898 | -| 37 | Ordinals:Std | PolyCol3 | A289399 | 0 3 21 102 426 1641 6015 21324 73812 250959 841449 2790066 9167358 29893557 96855123 312088728 | -| 38 | Ordinals:Std | PolyDiag | A062806 | 0 1 10 102 1252 18555 324726 6565468 150652552 3868151445 109876543210 3420886930626 | -| 39 | Ordinals:Rev | Triangle | A025581 | 0 1 0 2 1 0 3 2 1 0 4 3 2 1 0 5 4 3 2 1 0 6 5 4 3 2 1 0 7 6 5 4 3 2 1 0 8 7 6 5 4 3 2 1 0 9 8 7 6 5 | -| 40 | Ordinals:Rev | Acc | A141418 | 0 1 1 2 3 3 3 5 6 6 4 7 9 10 10 5 9 12 14 15 15 6 11 15 18 20 21 21 7 13 18 22 25 27 28 28 8 15 21 | -| 41 | Ordinals:Rev | AccRev | A112367 | 0 0 1 0 1 3 0 1 3 6 0 1 3 6 10 0 1 3 6 10 15 0 1 3 6 10 15 21 0 1 3 6 10 15 21 28 0 1 3 6 10 15 21 | -| 42 | Ordinals:Rev | AntiDiag | A022332 | 0 1 2 0 3 1 4 2 0 5 3 1 6 4 2 0 7 5 3 1 8 6 4 2 0 9 7 5 3 1 10 8 6 4 2 0 11 9 7 5 3 1 12 10 8 6 4 2 | -| 43 | Ordinals:Rev | Diffx1 | A094053 | 0 1 0 2 2 0 3 4 3 0 4 6 6 4 0 5 8 9 8 5 0 6 10 12 12 10 6 0 7 12 15 16 15 12 7 0 8 14 18 20 20 18 | -| 44 | Ordinals:Rev | RowSum | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | -| 45 | Ordinals:Rev | EvenSum | A083392 | 0 1 2 4 6 9 12 16 20 25 30 36 42 49 56 64 72 81 90 100 110 121 132 144 156 169 182 196 210 225 240 | -| 46 | Ordinals:Rev | OddSum | A002620 | 0 0 1 2 4 6 9 12 16 20 25 30 36 42 49 56 64 72 81 90 100 110 121 132 144 156 169 182 196 210 225 | -| 47 | Ordinals:Rev | AltSum | A001057 | 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 | -| 48 | Ordinals:Rev | DiagSum | A083392 | 0 1 2 4 6 9 12 16 20 25 30 36 42 49 56 64 72 81 90 100 110 121 132 144 156 169 182 196 210 225 240 | -| 49 | Ordinals:Rev | AccSum | B007290 | 0 2 8 20 40 70 112 168 240 330 440 572 728 910 1120 1360 1632 1938 2280 2660 3080 3542 4048 4600 | -| 50 | Ordinals:Rev | AccRevSum | A000292 | 0 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 | -| 51 | Ordinals:Rev | RowLcm | A003418 | 1 1 2 6 12 60 60 420 840 2520 2520 27720 27720 360360 360360 360360 720720 12252240 12252240 | -| 52 | Ordinals:Rev | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 53 | Ordinals:Rev | RowMax | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 54 | Ordinals:Rev | ColMiddle | A001057 | 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 | -| 55 | Ordinals:Rev | CentralE | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 | -| 56 | Ordinals:Rev | CentralO | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 | -| 57 | Ordinals:Rev | ColLeft | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 58 | Ordinals:Rev | BinConv | A001787 | 0 1 4 12 32 80 192 448 1024 2304 5120 11264 24576 53248 114688 245760 524288 1114112 2359296 | -| 59 | Ordinals:Rev | InvBinConv | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 60 | Ordinals:Rev | TransNat0 | A000292 | 0 0 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 | -| 61 | Ordinals:Rev | TransNat1 | A000292 | 0 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 | -| 62 | Ordinals:Rev | TransSqrs | A002415 | 0 0 1 6 20 50 105 196 336 540 825 1210 1716 2366 3185 4200 5440 6936 8721 10830 13300 16170 19481 | -| 63 | Ordinals:Rev | PosHalf | A036799 | 0 2 10 34 98 258 642 1538 3586 8194 18434 40962 90114 196610 425986 917506 1966082 4194306 8912898 | -| 64 | Ordinals:Rev | NegHalf | A232600 | 0 -2 6 -18 46 -114 270 -626 1422 -3186 7054 -15474 33678 -72818 156558 -334962 713614 -1514610 | -| 65 | Ordinals:Rev | DiagRow2 | A007395 | 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | -| 66 | Ordinals:Rev | DiagRow3 | A010701 | 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | -| 67 | Ordinals:Rev | DiagCol1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 68 | Ordinals:Rev | DiagCol2 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 69 | Ordinals:Rev | DiagCol3 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 70 | Ordinals:Rev | Poly | A089000 | 0 1 0 2 1 0 3 3 1 0 4 6 4 1 0 5 10 11 5 1 0 6 15 26 18 6 1 0 7 21 57 58 27 7 1 0 8 28 120 179 112 | -| 71 | Ordinals:Rev | PolyRow2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | -| 72 | Ordinals:Rev | PolyRow3 | A183199 | 3 6 11 18 27 38 51 66 83 102 123 146 171 198 227 258 291 326 363 402 443 486 531 578 627 678 731 | -| 73 | Ordinals:Rev | PolyCol2 | A125128 | 0 1 4 11 26 57 120 247 502 1013 2036 4083 8178 16369 32752 65519 131054 262125 524268 1048555 | -| 74 | Ordinals:Rev | PolyCol3 | A000340 | 0 1 5 18 58 179 543 1636 4916 14757 44281 132854 398574 1195735 3587219 10761672 32285032 96855113 | -| 75 | Ordinals:Rev | PolyDiag | A062805 | 0 1 4 18 112 975 11196 160132 2739136 54481005 1234567900 31384283766 884241366768 27342891567355 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:-------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | Ordinals:Std | Triangle | A002262 | 0 0 1 0 1 2 0 1 2 3 0 1 2 3 4 0 1 2 3 4 5 0 1 2 3 4 5 6 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 8 0 1 2 3 4 | +| 1 | Ordinals:Std | Rev | A025581 | 0 1 0 2 1 0 3 2 1 0 4 3 2 1 0 5 4 3 2 1 0 6 5 4 3 2 1 0 7 6 5 4 3 2 1 0 8 7 6 5 4 3 2 1 0 9 8 7 6 5 | +| 2 | Ordinals:Std | Acc | A112367 | 0 0 1 0 1 3 0 1 3 6 0 1 3 6 10 0 1 3 6 10 15 0 1 3 6 10 15 21 0 1 3 6 10 15 21 28 0 1 3 6 10 15 21 | +| 3 | Ordinals:Std | AccRev | A141418 | 0 1 1 2 3 3 3 5 6 6 4 7 9 10 10 5 9 12 14 15 15 6 11 15 18 20 21 21 7 13 18 22 25 27 28 28 8 15 21 | +| 4 | Ordinals:Std | AntiDiag | A022333 | 0 0 0 1 0 1 0 1 2 0 1 2 0 1 2 3 0 1 2 3 0 1 2 3 4 0 1 2 3 4 0 1 2 3 4 5 0 1 2 3 4 5 0 1 2 3 4 5 6 0 | +| 5 | Ordinals:Std | Diffx1 | missing | 0 0 2 0 2 6 0 2 6 12 0 2 6 12 20 0 2 6 12 20 30 0 2 6 12 20 30 42 0 2 6 12 20 30 42 56 0 2 6 12 20 | +| 6 | Ordinals:Std | RowSum | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | +| 7 | Ordinals:Std | EvenSum | A110660 | 0 0 2 2 6 6 12 12 20 20 30 30 42 42 56 56 72 72 90 90 110 110 132 132 156 156 182 182 210 210 240 | +| 8 | Ordinals:Std | OddSum | B008794 | 0 1 1 4 4 9 9 16 16 25 25 36 36 49 49 64 64 81 81 100 100 121 121 144 144 169 169 196 196 225 225 | +| 9 | Ordinals:Std | AltSum | A001057 | 0 -1 1 -2 2 -3 3 -4 4 -5 5 -6 6 -7 7 -8 8 -9 9 -10 10 -11 11 -12 12 -13 13 -14 14 -15 15 -16 | +| 10 | Ordinals:Std | DiagSum | B008805 | 0 0 1 1 3 3 6 6 10 10 15 15 21 21 28 28 36 36 45 45 55 55 66 66 78 78 91 91 105 105 120 120 | +| 11 | Ordinals:Std | AccSum | A000292 | 0 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 | +| 12 | Ordinals:Std | AccRevSum | B007290 | 0 2 8 20 40 70 112 168 240 330 440 572 728 910 1120 1360 1632 1938 2280 2660 3080 3542 4048 4600 | +| 13 | Ordinals:Std | RowLcm | A003418 | 1 1 2 6 12 60 60 420 840 2520 2520 27720 27720 360360 360360 360360 720720 12252240 12252240 | +| 14 | Ordinals:Std | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 15 | Ordinals:Std | RowMax | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 16 | Ordinals:Std | ColMiddle | A004526 | 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 | +| 17 | Ordinals:Std | CentralE | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 | +| 18 | Ordinals:Std | CentralO | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 | +| 19 | Ordinals:Std | ColRight | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 20 | Ordinals:Std | BinConv | A001787 | 0 1 4 12 32 80 192 448 1024 2304 5120 11264 24576 53248 114688 245760 524288 1114112 2359296 | +| 21 | Ordinals:Std | InvBinConv | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 22 | Ordinals:Std | TransNat0 | A000330 | 0 1 5 14 30 55 91 140 204 285 385 506 650 819 1015 1240 1496 1785 2109 2470 2870 3311 3795 4324 | +| 23 | Ordinals:Std | TransNat1 | B007290 | 0 2 8 20 40 70 112 168 240 330 440 572 728 910 1120 1360 1632 1938 2280 2660 3080 3542 4048 4600 | +| 24 | Ordinals:Std | TransSqrs | A000537 | 0 1 9 36 100 225 441 784 1296 2025 3025 4356 6084 8281 11025 14400 18496 23409 29241 36100 44100 | +| 25 | Ordinals:Std | PosHalf | A125128 | 0 1 4 11 26 57 120 247 502 1013 2036 4083 8178 16369 32752 65519 131054 262125 524268 1048555 | +| 26 | Ordinals:Std | NegHalf | A053088 | 0 1 0 3 -2 9 -12 31 -54 117 -224 459 -906 1825 -3636 7287 -14558 29133 -58248 116515 -233010 466041 | +| 27 | Ordinals:Std | DiagRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 28 | Ordinals:Std | DiagRow2 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 29 | Ordinals:Std | DiagRow3 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 30 | Ordinals:Std | DiagCol2 | A007395 | 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | +| 31 | Ordinals:Std | DiagCol3 | A010701 | 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | +| 32 | Ordinals:Std | Poly | missing | 0 0 0 0 1 0 0 3 2 0 0 6 10 3 0 0 10 34 21 4 0 0 15 98 102 36 5 0 0 21 258 426 228 55 6 0 0 28 642 | +| 33 | Ordinals:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 34 | Ordinals:Std | PolyRow2 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | +| 35 | Ordinals:Std | PolyRow3 | A067389 | 0 6 34 102 228 430 726 1134 1672 2358 3210 4246 5484 6942 8638 10590 12816 15334 18162 21318 24820 | +| 36 | Ordinals:Std | PolyCol2 | A036799 | 0 2 10 34 98 258 642 1538 3586 8194 18434 40962 90114 196610 425986 917506 1966082 4194306 8912898 | +| 37 | Ordinals:Std | PolyCol3 | A289399 | 0 3 21 102 426 1641 6015 21324 73812 250959 841449 2790066 9167358 29893557 96855123 312088728 | +| 38 | Ordinals:Std | PolyDiag | A062806 | 0 1 10 102 1252 18555 324726 6565468 150652552 3868151445 109876543210 3420886930626 | +| 39 | Ordinals:Alt | Triangle | A002262 | 0 0 -1 0 -1 2 0 -1 2 -3 0 -1 2 -3 4 0 -1 2 -3 4 -5 0 -1 2 -3 4 -5 6 0 -1 2 -3 4 -5 6 -7 0 -1 2 -3 4 | +| 40 | Ordinals:Alt | Rev | A025581 | 0 -1 0 2 -1 0 -3 2 -1 0 4 -3 2 -1 0 -5 4 -3 2 -1 0 6 -5 4 -3 2 -1 0 -7 6 -5 4 -3 2 -1 0 8 -7 6 -5 4 | +| 41 | Ordinals:Alt | Acc | A236532 | 0 0 -1 0 -1 1 0 -1 1 -2 0 -1 1 -2 2 0 -1 1 -2 2 -3 0 -1 1 -2 2 -3 3 0 -1 1 -2 2 -3 3 -4 0 -1 1 -2 2 | +| 42 | Ordinals:Alt | AccRev | missing | 0 -1 -1 2 1 1 -3 -1 -2 -2 4 1 3 2 2 -5 -1 -4 -2 -3 -3 6 1 5 2 4 3 3 -7 -1 -6 -2 -5 -3 -4 -4 8 1 7 2 | +| 43 | Ordinals:Alt | AntiDiag | A022333 | 0 0 0 -1 0 -1 0 -1 2 0 -1 2 0 -1 2 -3 0 -1 2 -3 0 -1 2 -3 4 0 -1 2 -3 4 0 -1 2 -3 4 -5 0 -1 2 -3 4 | +| 44 | Ordinals:Alt | Diffx1 | missing | 0 0 -2 0 -2 6 0 -2 6 -12 0 -2 6 -12 20 0 -2 6 -12 20 -30 0 -2 6 -12 20 -30 42 0 -2 6 -12 20 -30 42 | +| 45 | Ordinals:Alt | RowSum | A001057 | 0 -1 1 -2 2 -3 3 -4 4 -5 5 -6 6 -7 7 -8 8 -9 9 -10 10 -11 11 -12 12 -13 13 -14 14 -15 15 -16 | +| 46 | Ordinals:Alt | EvenSum | A110660 | 0 0 2 2 6 6 12 12 20 20 30 30 42 42 56 56 72 72 90 90 110 110 132 132 156 156 182 182 210 210 240 | +| 47 | Ordinals:Alt | OddSum | B008794 | 0 -1 -1 -4 -4 -9 -9 -16 -16 -25 -25 -36 -36 -49 -49 -64 -64 -81 -81 -100 -100 -121 -121 -144 -144 | +| 48 | Ordinals:Alt | AltSum | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | +| 49 | Ordinals:Alt | DiagSum | A242601 | 0 0 -1 -1 1 1 -2 -2 2 2 -3 -3 3 3 -4 -4 4 4 -5 -5 5 5 -6 -6 6 6 -7 -7 7 7 -8 -8 | +| 50 | Ordinals:Alt | AccSum | A027656 | 0 -1 0 -2 0 -3 0 -4 0 -5 0 -6 0 -7 0 -8 0 -9 0 -10 0 -11 0 -12 0 -13 0 -14 0 -15 0 -16 | +| 51 | Ordinals:Alt | AccRevSum | B007590 | 0 -2 4 -8 12 -18 24 -32 40 -50 60 -72 84 -98 112 -128 144 -162 180 -200 220 -242 264 -288 312 -338 | +| 52 | Ordinals:Alt | RowLcm | A003418 | 1 1 2 6 12 60 60 420 840 2520 2520 27720 27720 360360 360360 360360 720720 12252240 12252240 | +| 53 | Ordinals:Alt | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 54 | Ordinals:Alt | RowMax | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 55 | Ordinals:Alt | ColMiddle | A004526 | 0 0 -1 -1 2 2 -3 -3 4 4 -5 -5 6 6 -7 -7 8 8 -9 -9 10 10 -11 -11 12 12 -13 -13 14 14 -15 -15 | +| 56 | Ordinals:Alt | CentralE | A001477 | 0 -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 | +| 57 | Ordinals:Alt | CentralO | A001477 | 0 -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 | +| 58 | Ordinals:Alt | ColRight | A001477 | 0 -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 16 -17 18 -19 20 -21 22 -23 24 -25 26 -27 28 -29 30 | +| 59 | Ordinals:Alt | BinConv | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 60 | Ordinals:Alt | InvBinConv | A001787 | 0 -1 4 -12 32 -80 192 -448 1024 -2304 5120 -11264 24576 -53248 114688 -245760 524288 -1114112 | +| 61 | Ordinals:Alt | TransNat0 | A000217 | 0 -1 3 -6 10 -15 21 -28 36 -45 55 -66 78 -91 105 -120 136 -153 171 -190 210 -231 253 -276 300 -325 | +| 62 | Ordinals:Alt | TransNat1 | B007590 | 0 -2 4 -8 12 -18 24 -32 40 -50 60 -72 84 -98 112 -128 144 -162 180 -200 220 -242 264 -288 312 -338 | +| 63 | Ordinals:Alt | TransSqrs | A011934 | 0 -1 7 -20 44 -81 135 -208 304 -425 575 -756 972 -1225 1519 -1856 2240 -2673 3159 -3700 4300 -4961 | +| 64 | Ordinals:Alt | PosHalf | A053088 | 0 -1 0 -3 -2 -9 -12 -31 -54 -117 -224 -459 -906 -1825 -3636 -7287 -14558 -29133 -58248 -116515 | +| 65 | Ordinals:Alt | NegHalf | A125128 | 0 -1 4 -11 26 -57 120 -247 502 -1013 2036 -4083 8178 -16369 32752 -65519 131054 -262125 524268 | +| 66 | Ordinals:Alt | DiagRow1 | A001477 | 0 -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 16 -17 18 -19 20 -21 22 -23 24 -25 26 -27 28 -29 30 | +| 67 | Ordinals:Alt | DiagRow2 | A001477 | 0 -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 16 -17 18 -19 20 -21 22 -23 24 -25 26 -27 28 -29 30 | +| 68 | Ordinals:Alt | DiagRow3 | A001477 | 0 -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 16 -17 18 -19 20 -21 22 -23 24 -25 26 -27 28 -29 30 | +| 69 | Ordinals:Alt | DiagCol2 | A007395 | 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | +| 70 | Ordinals:Alt | DiagCol3 | A010701 | -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 | +| 71 | Ordinals:Alt | Poly | missing | 0 0 0 0 -1 0 0 1 -2 0 0 -2 6 -3 0 0 2 -18 15 -4 0 0 -3 46 -66 28 -5 0 0 3 -114 258 -164 45 -6 0 0 | +| 72 | Ordinals:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 73 | Ordinals:Alt | PolyRow2 | A000384 | 0 1 6 15 28 45 66 91 120 153 190 231 276 325 378 435 496 561 630 703 780 861 946 1035 1128 1225 | +| 74 | Ordinals:Alt | PolyRow3 | missing | 0 -2 -18 -66 -164 -330 -582 -938 -1416 -2034 -2810 -3762 -4908 -6266 -7854 -9690 -11792 -14178 | +| 75 | Ordinals:Alt | PolyCol2 | A232600 | 0 -2 6 -18 46 -114 270 -626 1422 -3186 7054 -15474 33678 -72818 156558 -334962 713614 -1514610 | +| 76 | Ordinals:Alt | PolyCol3 | missing | 0 -3 15 -66 258 -957 3417 -11892 40596 -136551 453939 -1494678 4882614 -15843585 51117981 | +| 77 | Ordinals:Alt | PolyDiag | missing | 0 -1 6 -66 860 -13455 245658 -5134276 120961656 -3172973805 91735537190 -2898687320166 | +| 78 | Ordinals:Rev | Triangle | A025581 | 0 1 0 2 1 0 3 2 1 0 4 3 2 1 0 5 4 3 2 1 0 6 5 4 3 2 1 0 7 6 5 4 3 2 1 0 8 7 6 5 4 3 2 1 0 9 8 7 6 5 | +| 79 | Ordinals:Rev | Acc | A141418 | 0 1 1 2 3 3 3 5 6 6 4 7 9 10 10 5 9 12 14 15 15 6 11 15 18 20 21 21 7 13 18 22 25 27 28 28 8 15 21 | +| 80 | Ordinals:Rev | AccRev | A112367 | 0 0 1 0 1 3 0 1 3 6 0 1 3 6 10 0 1 3 6 10 15 0 1 3 6 10 15 21 0 1 3 6 10 15 21 28 0 1 3 6 10 15 21 | +| 81 | Ordinals:Rev | AntiDiag | A022332 | 0 1 2 0 3 1 4 2 0 5 3 1 6 4 2 0 7 5 3 1 8 6 4 2 0 9 7 5 3 1 10 8 6 4 2 0 11 9 7 5 3 1 12 10 8 6 4 2 | +| 82 | Ordinals:Rev | Diffx1 | A094053 | 0 1 0 2 2 0 3 4 3 0 4 6 6 4 0 5 8 9 8 5 0 6 10 12 12 10 6 0 7 12 15 16 15 12 7 0 8 14 18 20 20 18 | +| 83 | Ordinals:Rev | RowSum | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | +| 84 | Ordinals:Rev | EvenSum | A083392 | 0 1 2 4 6 9 12 16 20 25 30 36 42 49 56 64 72 81 90 100 110 121 132 144 156 169 182 196 210 225 240 | +| 85 | Ordinals:Rev | OddSum | A002620 | 0 0 1 2 4 6 9 12 16 20 25 30 36 42 49 56 64 72 81 90 100 110 121 132 144 156 169 182 196 210 225 | +| 86 | Ordinals:Rev | AltSum | A001057 | 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 | +| 87 | Ordinals:Rev | DiagSum | A083392 | 0 1 2 4 6 9 12 16 20 25 30 36 42 49 56 64 72 81 90 100 110 121 132 144 156 169 182 196 210 225 240 | +| 88 | Ordinals:Rev | AccSum | B007290 | 0 2 8 20 40 70 112 168 240 330 440 572 728 910 1120 1360 1632 1938 2280 2660 3080 3542 4048 4600 | +| 89 | Ordinals:Rev | AccRevSum | A000292 | 0 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 | +| 90 | Ordinals:Rev | RowLcm | A003418 | 1 1 2 6 12 60 60 420 840 2520 2520 27720 27720 360360 360360 360360 720720 12252240 12252240 | +| 91 | Ordinals:Rev | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 92 | Ordinals:Rev | RowMax | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 93 | Ordinals:Rev | ColMiddle | A001057 | 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 | +| 94 | Ordinals:Rev | CentralE | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 | +| 95 | Ordinals:Rev | CentralO | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 | +| 96 | Ordinals:Rev | ColLeft | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 97 | Ordinals:Rev | BinConv | A001787 | 0 1 4 12 32 80 192 448 1024 2304 5120 11264 24576 53248 114688 245760 524288 1114112 2359296 | +| 98 | Ordinals:Rev | InvBinConv | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 99 | Ordinals:Rev | TransNat0 | A000292 | 0 0 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 | +| 100 | Ordinals:Rev | TransNat1 | A000292 | 0 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 1330 1540 1771 2024 2300 2600 | +| 101 | Ordinals:Rev | TransSqrs | A002415 | 0 0 1 6 20 50 105 196 336 540 825 1210 1716 2366 3185 4200 5440 6936 8721 10830 13300 16170 19481 | +| 102 | Ordinals:Rev | PosHalf | A036799 | 0 2 10 34 98 258 642 1538 3586 8194 18434 40962 90114 196610 425986 917506 1966082 4194306 8912898 | +| 103 | Ordinals:Rev | NegHalf | A232600 | 0 -2 6 -18 46 -114 270 -626 1422 -3186 7054 -15474 33678 -72818 156558 -334962 713614 -1514610 | +| 104 | Ordinals:Rev | DiagRow2 | A007395 | 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | +| 105 | Ordinals:Rev | DiagRow3 | A010701 | 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | +| 106 | Ordinals:Rev | DiagCol1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 107 | Ordinals:Rev | DiagCol2 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 108 | Ordinals:Rev | DiagCol3 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 109 | Ordinals:Rev | Poly | A089000 | 0 1 0 2 1 0 3 3 1 0 4 6 4 1 0 5 10 11 5 1 0 6 15 26 18 6 1 0 7 21 57 58 27 7 1 0 8 28 120 179 112 | +| 110 | Ordinals:Rev | PolyRow2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | +| 111 | Ordinals:Rev | PolyRow3 | A183199 | 3 6 11 18 27 38 51 66 83 102 123 146 171 198 227 258 291 326 363 402 443 486 531 578 627 678 731 | +| 112 | Ordinals:Rev | PolyCol2 | A125128 | 0 1 4 11 26 57 120 247 502 1013 2036 4083 8178 16369 32752 65519 131054 262125 524268 1048555 | +| 113 | Ordinals:Rev | PolyCol3 | A000340 | 0 1 5 18 58 179 543 1636 4916 14757 44281 132854 398574 1195735 3587219 10761672 32285032 96855113 | +| 114 | Ordinals:Rev | PolyDiag | A062805 | 0 1 4 18 112 975 11196 160132 2739136 54481005 1234567900 31384283766 884241366768 27342891567355 | \ No newline at end of file diff --git a/data/md/Partition.md b/data/md/Partition.md index e1a6dc0..3e4e7d8 100644 --- a/data/md/Partition.md +++ b/data/md/Partition.md @@ -40,119 +40,159 @@ | 37 | Partition:Std | PolyCol2 | A070933 | 1 2 6 14 34 74 166 350 746 1546 3206 6550 13386 27114 54894 110630 222794 447538 898574 1801590 | | 38 | Partition:Std | PolyCol3 | A242587 | 1 3 12 39 129 399 1245 3783 11514 34734 104754 314922 946623 2842077 8532147 25603788 76830033 | | 39 | Partition:Std | PolyDiag | A124577 | 1 1 6 39 356 4055 57786 983535 19520264 441967518 11235798510 316719689506 9800860032876 | -| 40 | Partition:Rev | Triangle | A080934 | 1 1 0 1 1 0 1 1 1 0 1 1 2 1 0 1 1 2 2 1 0 1 1 2 3 3 1 0 1 1 2 3 4 3 1 0 1 1 2 3 5 5 4 1 0 1 1 2 3 5 | -| 41 | Partition:Rev | InvRev | A059883 | 1 0 1 0 -1 1 0 0 -1 1 0 1 -1 -1 1 0 0 1 -1 -1 1 0 0 1 0 -1 -1 1 0 -1 1 1 0 -1 -1 1 0 -1 0 2 0 0 -1 | -| 42 | Partition:Rev | Acc | missing | 1 1 1 1 2 2 1 2 3 3 1 2 4 5 5 1 2 4 6 7 7 1 2 4 7 10 11 11 1 2 4 7 11 14 15 15 1 2 4 7 12 17 21 22 | -| 43 | Partition:Rev | AccRev | A108456 | 1 0 1 0 1 2 0 1 2 3 0 1 3 4 5 0 1 3 5 6 7 0 1 4 7 9 10 11 0 1 4 8 11 13 14 15 0 1 5 10 15 18 20 21 | -| 44 | Partition:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 1 0 1 1 1 1 1 2 0 1 1 2 1 1 1 2 2 0 1 1 2 3 1 1 1 2 3 3 0 1 1 2 3 4 1 1 1 2 3 5 3 0 1 | -| 45 | Partition:Rev | Diffx1 | missing | 1 1 0 1 2 0 1 2 3 0 1 2 6 4 0 1 2 6 8 5 0 1 2 6 12 15 6 0 1 2 6 12 20 18 7 0 1 2 6 12 25 30 28 8 0 | -| 46 | Partition:Rev | RowSum | A000041 | 1 1 2 3 5 7 11 15 22 30 42 56 77 101 135 176 231 297 385 490 627 792 1002 1255 1575 1958 2436 3010 | -| 47 | Partition:Rev | EvenSum | A046682 | 1 1 1 2 3 4 6 8 12 16 22 29 40 52 69 90 118 151 195 248 317 400 505 632 793 985 1224 1512 1867 2291 | -| 48 | Partition:Rev | OddSum | A000701 | 0 0 1 1 2 3 5 7 10 14 20 27 37 49 66 86 113 146 190 242 310 392 497 623 782 973 1212 1498 1851 2274 | -| 49 | Partition:Rev | AltSum | A000700 | 1 1 0 1 1 1 1 1 2 2 2 2 3 3 3 4 5 5 5 6 7 8 8 9 11 12 12 14 16 17 18 20 | -| 50 | Partition:Rev | DiagSum | A000009 | 1 1 1 2 2 3 4 5 6 8 10 12 15 18 22 27 32 38 46 54 64 76 89 104 122 142 165 192 222 256 296 340 | -| 51 | Partition:Rev | AccSum | A093694 | 1 2 5 9 17 27 46 69 108 158 234 331 476 657 915 1244 1694 2262 3029 3988 5257 6844 8901 11461 14749 | -| 52 | Partition:Rev | AccRevSum | A058397 | 1 1 3 6 13 22 42 66 112 172 270 397 602 858 1245 1748 2464 3381 4671 6302 8537 11372 15147 19914 | -| 53 | Partition:Rev | RowLcm | missing | 1 1 1 1 2 2 6 12 60 420 2520 2310 60060 6930 425040 5135130 5811960 3110747640 15075161640 | -| 54 | Partition:Rev | RowGcd | B288120 | 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 55 | Partition:Rev | RowMax | A002569 | 1 1 1 1 2 2 3 4 5 7 9 11 15 18 23 30 37 47 58 71 90 110 136 164 201 248 300 364 436 525 638 764 | -| 56 | Partition:Rev | ColMiddle | A119620 | 1 1 1 1 2 2 3 3 5 5 7 7 11 11 15 15 22 22 30 30 42 42 56 56 77 77 101 101 135 135 176 176 | -| 57 | Partition:Rev | CentralE | A000041 | 1 1 2 3 5 7 11 15 22 30 42 56 77 101 135 176 | -| 58 | Partition:Rev | CentralO | A000041 | 1 1 2 3 5 7 11 15 22 30 42 56 77 101 135 176 | -| 59 | Partition:Rev | BinConv | A098545 | 1 1 3 7 21 51 148 365 983 2461 6360 15687 39757 97033 240425 582622 1421273 3409861 8222920 | -| 60 | Partition:Rev | InvBinConv | missing | 1 -1 -1 -1 5 -1 4 -15 55 -139 152 -397 1429 -2549 3457 -9330 26105 -48791 86512 -207785 520314 | -| 61 | Partition:Rev | TransNat0 | A196087 | 0 0 1 3 8 15 31 51 90 142 228 341 525 757 1110 1572 2233 3084 4286 5812 7910 10580 14145 18659 | -| 62 | Partition:Rev | TransNat1 | A058397 | 1 1 3 6 13 22 42 66 112 172 270 397 602 858 1245 1748 2464 3381 4671 6302 8537 11372 15147 19914 | -| 63 | Partition:Rev | TransSqrs | missing | 0 0 1 5 18 43 109 211 434 778 1408 2335 3977 6253 9978 15254 23313 34422 51054 73486 105994 149660 | -| 64 | Partition:Rev | PosHalf | A070933 | 1 2 6 14 34 74 166 350 746 1546 3206 6550 13386 27114 54894 110630 222794 447538 898574 1801590 | -| 65 | Partition:Rev | NegHalf | A071109 | 1 -2 2 -6 14 -26 50 -102 214 -426 834 -1678 3398 -6778 13482 -27022 54198 -108306 216346 -432878 | -| 66 | Partition:Rev | DiagRow2 | A008619 | 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 | -| 67 | Partition:Rev | DiagRow3 | A001399 | 1 1 2 3 4 5 7 8 10 12 14 16 19 21 24 27 30 33 37 40 44 48 52 56 61 65 70 75 80 85 91 96 | -| 68 | Partition:Rev | DiagCol1 | A011584 | 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 69 | Partition:Rev | DiagCol2 | A130130 | 0 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | -| 70 | Partition:Rev | DiagCol3 | A158799 | 0 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | -| 71 | Partition:Rev | Poly | A047030 | 1 1 1 1 1 1 1 2 1 1 1 3 3 1 1 1 5 7 4 1 1 1 7 19 13 5 1 1 1 11 43 49 21 6 1 1 1 15 115 157 101 31 7 | -| 72 | Partition:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 73 | Partition:Rev | PolyRow3 | A247890 | 1 3 7 13 21 31 43 57 73 91 111 133 157 183 211 241 273 307 343 381 421 463 507 553 601 651 703 757 | -| 74 | Partition:Rev | PolyCol2 | A075900 | 1 1 3 7 19 43 115 259 659 1523 3731 8531 20883 47379 113043 259219 609683 1385363 3245459 7344531 | -| 75 | Partition:Rev | PolyCol3 | A300579 | 1 1 4 13 49 157 589 1885 6826 22378 78754 256630 904711 2934247 10133851 33287620 113522089 | -| 76 | Partition:Rev | PolyDiag | A338697 | 1 1 3 13 101 931 12391 178809 3331721 66288142 1589753211 40104031166 1183380156013 36187564837217 | -| 77 | Partition:Inv | Triangle | A059883 | 1 0 1 0 -1 1 0 0 -1 1 0 1 -1 -1 1 0 0 1 -1 -1 1 0 0 1 0 -1 -1 1 0 -1 1 1 0 -1 -1 1 0 -1 0 2 0 0 -1 | -| 78 | Partition:Inv | Rev | A055800 | 1 1 0 1 -1 0 1 -1 0 0 1 -1 -1 1 0 1 -1 -1 1 0 0 1 -1 -1 0 1 0 0 1 -1 -1 0 1 1 -1 0 1 -1 -1 0 0 2 0 | -| 79 | Partition:Inv | RevInv | A080934 | 1 1 0 1 1 0 1 1 1 0 1 1 2 1 0 1 1 2 2 1 0 1 1 2 3 3 1 0 1 1 2 3 4 3 1 0 1 1 2 3 5 5 4 1 0 1 1 2 3 5 | -| 80 | Partition:Inv | Acc | A157687 | 1 0 1 0 -1 0 0 0 -1 0 0 1 0 -1 0 0 0 1 0 -1 0 0 0 1 1 0 -1 0 0 -1 0 1 1 0 -1 0 0 -1 -1 1 1 1 0 -1 0 | -| 81 | Partition:Inv | AccRev | A115512 | 1 1 1 1 0 0 1 0 0 0 1 0 -1 0 0 1 0 -1 0 0 0 1 0 -1 -1 0 0 0 1 0 -1 -1 0 1 0 0 1 0 -1 -1 -1 1 1 0 0 | -| 82 | Partition:Inv | AntiDiag | missing | 1 0 0 1 0 -1 0 0 1 0 1 -1 0 0 -1 1 0 0 1 -1 0 -1 1 -1 1 0 -1 1 0 -1 0 0 0 1 -1 1 0 0 -1 2 0 -1 0 1 | -| 83 | Partition:Inv | Diffx1 | missing | 1 0 2 0 -2 3 0 0 -3 4 0 2 -3 -4 5 0 0 3 -4 -5 6 0 0 3 0 -5 -6 7 0 -2 3 4 0 -6 -7 8 0 -2 0 8 0 0 -7 | -| 84 | Partition:Inv | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 85 | Partition:Inv | EvenSum | missing | 1 0 1 -1 0 0 1 0 0 0 -1 -1 -1 0 0 1 1 2 2 3 3 1 1 -1 -2 -4 -5 -7 -7 -9 -9 -9 | -| 86 | Partition:Inv | OddSum | A115513 | 0 1 -1 1 0 0 -1 0 0 0 1 1 1 0 0 -1 -1 -2 -2 -3 -3 -1 -1 1 2 4 5 7 7 9 9 9 | -| 87 | Partition:Inv | AltSum | missing | 1 -1 2 -2 0 0 2 0 0 0 -2 -2 -2 0 0 2 2 4 4 6 6 2 2 -2 -4 -8 -10 -14 -14 -18 -18 -18 | -| 88 | Partition:Inv | DiagSum | missing | 1 0 1 -1 1 0 0 0 0 -1 1 0 -1 1 1 0 0 0 0 0 0 -1 0 -2 -1 -1 0 -2 1 0 1 0 | -| 89 | Partition:Inv | AccSum | A115513 | 1 1 -1 -1 0 0 1 0 0 0 -1 -1 -1 0 0 1 1 2 2 3 3 1 1 -1 -2 -4 -5 -7 -7 -9 -9 -9 | -| 90 | Partition:Inv | AccRevSum | missing | 1 2 1 1 0 0 -1 0 0 0 1 1 1 0 0 -1 -1 -2 -2 -3 -3 -1 -1 1 2 4 5 7 7 9 9 9 | -| 91 | Partition:Inv | RowLcm | missing | 1 1 1 1 1 1 1 1 2 2 2 2 2 2 6 2 12 12 10 30 20 210 210 40 120 168 1980 168 510 72 440 630 | -| 92 | Partition:Inv | RowGcd | missing | 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 | -| 93 | Partition:Inv | RowMax | A033271 | 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 2 4 4 5 5 5 7 7 8 8 8 11 14 17 18 20 18 | -| 94 | Partition:Inv | ColMiddle | missing | 1 0 -1 0 -1 1 0 1 0 2 1 1 0 2 1 1 0 1 0 1 0 1 0 0 -1 1 0 1 0 0 -1 1 | -| 95 | Partition:Inv | CentralE | A010815 | 1 -1 -1 0 0 1 0 1 0 0 0 0 -1 0 0 -1 | -| 96 | Partition:Inv | CentralO | B064391 | 0 0 1 1 2 1 2 1 1 1 1 0 1 1 0 1 | -| 97 | Partition:Inv | BinConv | missing | 1 1 -1 -2 -5 -4 -5 22 69 172 438 925 1805 3290 6268 9336 16645 19109 25141 -1006 -38061 -292116 | -| 98 | Partition:Inv | InvBinConv | missing | 1 1 3 4 -5 -14 7 -6 -123 -242 -286 -417 -2067 -4536 -2444 -4470 -26843 -42805 -22895 -56942 -289877 | -| 99 | Partition:Inv | TransNat0 | A115513 | 0 1 1 1 0 0 -1 0 0 0 1 1 1 0 0 -1 -1 -2 -2 -3 -3 -1 -1 1 2 4 5 7 7 9 9 9 | -| 100 | Partition:Inv | TransNat1 | missing | 1 2 1 1 0 0 -1 0 0 0 1 1 1 0 0 -1 -1 -2 -2 -3 -3 -1 -1 1 2 4 5 7 7 9 9 9 | -| 101 | Partition:Inv | TransSqrs | missing | 0 1 3 5 4 4 -1 0 -4 -4 -3 1 1 4 8 7 11 6 6 -3 -7 -13 -17 -23 -26 -32 -31 -25 -25 -11 -3 13 | -| 102 | Partition:Inv | PosHalf | missing | 1 1 -1 -1 3 3 11 -21 -69 -69 -293 -37 283 3867 9627 19867 35483 47771 42139 -47973 -419685 -2418533 | -| 103 | Partition:Inv | NegHalf | missing | 1 1 3 3 -9 -9 15 -81 63 63 -609 1695 -2337 8415 -11169 -5025 71007 -162465 533343 -1211553 3000159 | -| 104 | Partition:Inv | DiagRow1 | A011584 | 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 | -| 105 | Partition:Inv | DiagRow2 | A037203 | 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 | -| 106 | Partition:Inv | DiagRow3 | A093313 | 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 107 | Partition:Inv | DiagCol1 | A039800 | 1 -1 0 1 0 0 -1 -1 0 0 1 1 2 2 1 0 -1 -2 -3 -4 -5 -5 -5 -4 -3 -1 2 5 8 11 14 17 | -| 108 | Partition:Inv | DiagCol2 | A039801 | 1 -1 -1 1 1 1 0 -1 -2 -2 -1 -1 0 2 4 4 5 5 5 2 1 -2 -5 -8 -11 -14 -17 -18 -20 -18 -18 -11 | -| 109 | Partition:Inv | DiagCol3 | A039802 | 1 -1 -1 0 1 2 0 1 -1 -2 -2 -3 -2 -2 1 1 3 4 7 7 8 8 7 5 2 -1 -6 -8 -15 -18 -24 -27 | -| 110 | Partition:Inv | Poly | A060701 | 1 0 1 0 1 1 0 0 2 1 0 0 2 3 1 0 0 4 6 4 1 0 0 6 18 12 5 1 0 0 12 48 48 20 6 1 0 0 20 144 180 100 30 | -| 111 | Partition:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 112 | Partition:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | -| 113 | Partition:Inv | PolyRow3 | A045991 | 0 0 4 18 48 100 180 294 448 648 900 1210 1584 2028 2548 3150 3840 4624 5508 6498 7600 8820 10164 | -| 114 | Partition:Inv | PolyCol2 | missing | 1 2 2 4 6 12 20 42 78 156 304 610 1198 2400 4764 9530 18992 37990 75832 151686 303084 606182 | -| 115 | Partition:Inv | PolyCol3 | missing | 1 3 6 18 48 144 414 1248 3696 11088 33138 99426 297858 893616 2679648 8038974 24113358 72340188 | -| 116 | Partition:Inv | PolyDiag | missing | 1 1 2 18 180 2400 37620 689472 14418936 339603840 8900110800 257018244010 8111211039228 | -| 117 | Partition:Inv:Rev | Triangle | A055800 | 1 1 0 1 -1 0 1 -1 0 0 1 -1 -1 1 0 1 -1 -1 1 0 0 1 -1 -1 0 1 0 0 1 -1 -1 0 1 1 -1 0 1 -1 -1 0 0 2 0 | -| 118 | Partition:Inv:Rev | Rev | A059883 | 1 0 1 0 -1 1 0 0 -1 1 0 1 -1 -1 1 0 0 1 -1 -1 1 0 0 1 0 -1 -1 1 0 -1 1 1 0 -1 -1 1 0 -1 0 2 0 0 -1 | -| 119 | Partition:Inv:Rev | InvRev | A068914 | 1 0 1 0 1 1 0 1 1 1 0 1 2 1 1 0 1 2 2 1 1 0 1 3 3 2 1 1 0 1 3 4 3 2 1 1 0 1 4 5 5 3 2 1 1 0 1 4 7 6 | -| 120 | Partition:Inv:Rev | Acc | A115512 | 1 1 1 1 0 0 1 0 0 0 1 0 -1 0 0 1 0 -1 0 0 0 1 0 -1 -1 0 0 0 1 0 -1 -1 0 1 0 0 1 0 -1 -1 -1 1 1 0 0 | -| 121 | Partition:Inv:Rev | AccRev | A157687 | 1 0 1 0 -1 0 0 0 -1 0 0 1 0 -1 0 0 0 1 0 -1 0 0 0 1 1 0 -1 0 0 -1 0 1 1 0 -1 0 0 -1 -1 1 1 1 0 -1 0 | -| 122 | Partition:Inv:Rev | AntiDiag | A014677 | 1 1 1 0 1 -1 1 -1 0 1 -1 0 1 -1 -1 0 1 -1 -1 1 1 -1 -1 1 0 1 -1 -1 0 0 1 -1 -1 0 1 0 1 -1 -1 0 1 0 | -| 123 | Partition:Inv:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 -2 0 0 1 -2 -3 4 0 1 -2 -3 4 0 0 1 -2 -3 0 5 0 0 1 -2 -3 0 5 6 -7 0 1 -2 -3 0 0 12 0 | -| 124 | Partition:Inv:Rev | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 125 | Partition:Inv:Rev | EvenSum | A115513 | 1 1 1 1 0 0 1 0 0 0 -1 1 -1 0 0 -1 1 -2 2 -3 3 -1 1 1 -2 4 -5 7 -7 9 -9 9 | -| 126 | Partition:Inv:Rev | OddSum | missing | 0 0 -1 -1 0 0 -1 0 0 0 1 -1 1 0 0 1 -1 2 -2 3 -3 1 -1 -1 2 -4 5 -7 7 -9 9 -9 | -| 127 | Partition:Inv:Rev | AltSum | missing | 1 1 2 2 0 0 2 0 0 0 -2 2 -2 0 0 -2 2 -4 4 -6 6 -2 2 2 -4 8 -10 14 -14 18 -18 18 | -| 128 | Partition:Inv:Rev | DiagSum | missing | 1 1 1 0 0 0 -1 0 0 -1 0 0 0 0 1 -1 0 2 -1 1 0 0 0 1 -1 0 0 0 0 -1 0 -1 | -| 129 | Partition:Inv:Rev | AccSum | missing | 1 2 1 1 0 0 -1 0 0 0 1 1 1 0 0 -1 -1 -2 -2 -3 -3 -1 -1 1 2 4 5 7 7 9 9 9 | -| 130 | Partition:Inv:Rev | AccRevSum | A115513 | 1 1 -1 -1 0 0 1 0 0 0 -1 -1 -1 0 0 1 1 2 2 3 3 1 1 -1 -2 -4 -5 -7 -7 -9 -9 -9 | -| 131 | Partition:Inv:Rev | RowLcm | missing | 1 1 1 1 1 1 1 1 2 2 2 2 2 2 6 2 12 12 10 30 20 210 210 40 120 168 1980 168 510 72 440 630 | -| 132 | Partition:Inv:Rev | RowGcd | missing | 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 | -| 133 | Partition:Inv:Rev | RowMax | A033271 | 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 2 4 4 5 5 5 7 7 8 8 8 11 14 17 18 20 18 | -| 134 | Partition:Inv:Rev | ColMiddle | missing | 1 1 -1 -1 -1 -1 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0 -1 -1 0 0 0 0 -1 -1 | -| 135 | Partition:Inv:Rev | CentralE | A010815 | 1 -1 -1 0 0 1 0 1 0 0 0 0 -1 0 0 -1 | -| 136 | Partition:Inv:Rev | CentralO | A010815 | 1 -1 -1 0 0 1 0 1 0 0 0 0 -1 0 0 -1 | -| 137 | Partition:Inv:Rev | BinConv | missing | 1 1 -1 -2 -5 -4 -5 22 69 172 438 925 1805 3290 6268 9336 16645 19109 25141 -1006 -38061 -292116 | -| 138 | Partition:Inv:Rev | InvBinConv | missing | 1 -1 3 -4 -5 14 7 6 -123 242 -286 417 -2067 4536 -2444 4470 -26843 42805 -22895 56942 -289877 | -| 139 | Partition:Inv:Rev | TransNat0 | missing | 0 0 -1 -1 0 0 1 0 0 0 -1 -1 -1 0 0 1 1 2 2 3 3 1 1 -1 -2 -4 -5 -7 -7 -9 -9 -9 | -| 140 | Partition:Inv:Rev | TransNat1 | A115513 | 1 1 -1 -1 0 0 1 0 0 0 -1 -1 -1 0 0 1 1 2 2 3 3 1 1 -1 -2 -4 -5 -7 -7 -9 -9 -9 | -| 141 | Partition:Inv:Rev | TransSqrs | missing | 0 0 -1 -1 4 4 11 0 -4 -4 -23 -21 -23 4 8 37 43 74 78 111 113 29 27 -69 -122 -232 -291 -403 -417 | -| 142 | Partition:Inv:Rev | PosHalf | missing | 1 2 2 4 6 12 20 42 78 156 304 610 1198 2400 4764 9530 18992 37990 75832 151686 303084 606182 | -| 143 | Partition:Inv:Rev | NegHalf | missing | 1 -2 6 -12 18 -36 84 -162 306 -612 1248 -2514 4938 -9864 19908 -39786 79248 -158502 317616 -635166 | -| 144 | Partition:Inv:Rev | DiagRow1 | A039800 | 1 -1 0 1 0 0 -1 -1 0 0 1 1 2 2 1 0 -1 -2 -3 -4 -5 -5 -5 -4 -3 -1 2 5 8 11 14 17 | -| 145 | Partition:Inv:Rev | DiagRow2 | A039801 | 1 -1 -1 1 1 1 0 -1 -2 -2 -1 -1 0 2 4 4 5 5 5 2 1 -2 -5 -8 -11 -14 -17 -18 -20 -18 -18 -11 | -| 146 | Partition:Inv:Rev | DiagRow3 | A039802 | 1 -1 -1 0 1 2 0 1 -1 -2 -2 -3 -2 -2 1 1 3 4 7 7 8 8 7 5 2 -1 -6 -8 -15 -18 -24 -27 | -| 147 | Partition:Inv:Rev | DiagCol1 | A011584 | 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 | -| 148 | Partition:Inv:Rev | DiagCol2 | A037203 | 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 | -| 149 | Partition:Inv:Rev | DiagCol3 | A093313 | 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 150 | Partition:Inv:Rev | Poly | A071024 | 1 1 1 1 1 1 1 0 1 1 1 0 -1 1 1 1 0 -1 -2 1 1 1 0 3 -2 -3 1 1 1 0 3 16 -3 -4 1 1 1 0 11 16 45 -4 -5 | -| 151 | Partition:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 152 | Partition:Inv:Rev | PolyRow3 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 153 | Partition:Inv:Rev | PolyCol2 | missing | 1 1 -1 -1 3 3 11 -21 -69 -69 -293 -37 283 3867 9627 19867 35483 47771 42139 -47973 -419685 -2418533 | -| 154 | Partition:Inv:Rev | PolyCol3 | missing | 1 1 -2 -2 16 16 70 -416 -1712 -1712 -9974 16270 83338 752560 2607136 6504370 14193862 13130980 | -| 155 | Partition:Inv:Rev | PolyDiag | missing | 1 1 -1 -2 45 96 1255 -98496 -2031687 -4664960 -188900109 21028589990 670843358053 44517814236000 | \ No newline at end of file +| 40 | Partition:Alt | Triangle | A068914 | 1 0 -1 0 -1 1 0 -1 1 -1 0 -1 2 -1 1 0 -1 2 -2 1 -1 0 -1 3 -3 2 -1 1 0 -1 3 -4 3 -2 1 -1 0 -1 4 -5 5 | +| 41 | Partition:Alt | Rev | A080934 | 1 -1 0 1 -1 0 -1 1 -1 0 1 -1 2 -1 0 -1 1 -2 2 -1 0 1 -1 2 -3 3 -1 0 -1 1 -2 3 -4 3 -1 0 1 -1 2 -3 5 | +| 42 | Partition:Alt | Inv | missing | 1 0 1 0 1 1 0 0 -1 1 0 -1 -3 1 1 0 0 -1 1 -1 1 0 0 -1 2 -3 1 1 0 1 1 1 -2 1 -1 1 0 3 6 0 -4 2 -3 1 | +| 43 | Partition:Alt | RevInv | missing | 1 1 0 1 1 0 1 -1 0 0 1 1 -3 -1 0 1 -1 1 -1 0 0 1 1 -3 2 -1 0 0 1 -1 1 -2 1 1 1 0 1 1 -3 2 -4 0 6 3 | +| 44 | Partition:Alt | Acc | A187976 | 1 0 -1 0 -1 0 0 -1 0 -1 0 -1 1 0 1 0 -1 1 -1 0 -1 0 -1 2 -1 1 0 1 0 -1 2 -2 1 -1 0 -1 0 -1 3 -2 3 0 | +| 45 | Partition:Alt | AccRev | missing | 1 -1 -1 1 0 0 -1 0 -1 -1 1 0 2 1 1 -1 0 -2 0 -1 -1 1 0 2 -1 2 1 1 -1 0 -2 1 -3 0 -1 -1 1 0 2 -1 4 | +| 46 | Partition:Alt | AntiDiag | A054848 | 1 0 0 -1 0 -1 0 -1 1 0 -1 1 0 -1 2 -1 0 -1 2 -1 0 -1 3 -2 1 0 -1 3 -3 1 0 -1 4 -4 2 -1 0 -1 4 -5 3 | +| 47 | Partition:Alt | Diffx1 | missing | 1 0 -2 0 -2 3 0 -2 3 -4 0 -2 6 -4 5 0 -2 6 -8 5 -6 0 -2 9 -12 10 -6 7 0 -2 9 -16 15 -12 7 -8 0 -2 | +| 48 | Partition:Alt | RowSum | A000700 | 1 -1 0 -1 1 -1 1 -1 2 -2 2 -2 3 -3 3 -4 5 -5 5 -6 7 -8 8 -9 11 -12 12 -14 16 -17 18 -20 | +| 49 | Partition:Alt | EvenSum | A027187 | 1 0 1 1 3 3 6 7 12 14 22 27 40 49 69 86 118 146 195 242 317 392 505 623 793 973 1224 1498 1867 2274 | +| 50 | Partition:Alt | OddSum | A027193 | 0 -1 -1 -2 -2 -4 -5 -8 -10 -16 -20 -29 -37 -52 -66 -90 -113 -151 -190 -248 -310 -400 -497 -632 -782 | +| 51 | Partition:Alt | AltSum | A000041 | 1 1 2 3 5 7 11 15 22 30 42 56 77 101 135 176 231 297 385 490 627 792 1002 1255 1575 1958 2436 3010 | +| 52 | Partition:Alt | DiagSum | A298596 | 1 0 -1 -1 0 0 0 0 1 0 0 0 1 0 0 -1 1 0 0 -1 1 -1 0 -1 2 -1 0 -2 2 -1 1 -2 | +| 53 | Partition:Alt | AccSum | missing | 1 -1 -1 -2 1 -2 2 -2 8 -8 10 -9 18 -18 21 -32 44 -45 47 -62 77 -96 99 -118 153 -177 182 -226 269 | +| 54 | Partition:Alt | AccRevSum | missing | 1 -2 1 -3 5 -5 6 -7 12 -14 14 -17 24 -27 27 -36 46 -50 53 -64 77 -88 93 -107 133 -147 154 -180 211 | +| 55 | Partition:Alt | RowLcm | missing | 1 1 1 1 2 2 6 12 60 420 2520 2310 60060 6930 425040 5135130 5811960 3110747640 15075161640 | +| 56 | Partition:Alt | RowGcd | B288120 | 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 57 | Partition:Alt | RowMax | A002569 | 1 1 1 1 2 2 3 4 5 7 9 11 15 18 23 30 37 47 58 71 90 110 136 164 201 248 300 364 436 525 638 764 | +| 58 | Partition:Alt | ColMiddle | A066639 | 1 0 -1 -1 2 2 -3 -4 5 6 -7 -10 11 14 -15 -21 22 29 -30 -41 42 55 -56 -76 77 100 -101 -134 135 175 | +| 59 | Partition:Alt | CentralE | A000041 | 1 -1 2 -3 5 -7 11 -15 22 -30 42 -56 77 -101 135 -176 | +| 60 | Partition:Alt | CentralO | B000065 | 0 -1 2 -4 6 -10 14 -21 29 -41 55 -76 100 -134 175 -230 | +| 61 | Partition:Alt | BinConv | missing | 1 -1 -1 -1 5 -1 4 -15 55 -139 152 -397 1429 -2549 3457 -9330 26105 -48791 86512 -207785 520314 | +| 62 | Partition:Alt | InvBinConv | A098545 | 1 -1 3 -7 21 -51 148 -365 983 -2461 6360 -15687 39757 -97033 240425 -582622 1421273 -3409861 | +| 63 | Partition:Alt | TransNat0 | missing | 0 -1 1 -2 4 -4 5 -6 10 -12 12 -15 21 -24 24 -32 41 -45 48 -58 70 -80 85 -98 122 -135 142 -166 195 | +| 64 | Partition:Alt | TransNat1 | missing | 1 -2 1 -3 5 -5 6 -7 12 -14 14 -17 24 -27 27 -36 46 -50 53 -64 77 -88 93 -107 133 -147 154 -180 211 | +| 65 | Partition:Alt | TransSqrs | missing | 0 -1 3 -6 14 -20 27 -40 62 -84 96 -129 183 -224 250 -326 431 -503 574 -704 878 -1028 1151 -1364 | +| 66 | Partition:Alt | PosHalf | A352402 | 1 -1 -1 -3 -1 -7 -1 -15 31 -63 159 -95 671 -287 3231 -2975 15519 -7839 44191 -34975 224415 -291999 | +| 67 | Partition:Alt | NegHalf | A075900 | 1 -1 3 -7 19 -43 115 -259 659 -1523 3731 -8531 20883 -47379 113043 -259219 609683 -1385363 3245459 | +| 68 | Partition:Alt | DiagRow1 | A011584 | 0 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 | +| 69 | Partition:Alt | DiagRow2 | A130130 | 0 -1 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 | +| 70 | Partition:Alt | DiagRow3 | A158799 | 0 -1 2 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 3 -3 | +| 71 | Partition:Alt | DiagCol2 | A008619 | 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 | +| 72 | Partition:Alt | DiagCol3 | A001399 | -1 -1 -2 -3 -4 -5 -7 -8 -10 -12 -14 -16 -19 -21 -24 -27 -30 -33 -37 -40 -44 -48 -52 -56 -61 -65 -70 | +| 73 | Partition:Alt | Poly | missing | 1 0 1 0 -1 1 0 0 -2 1 0 -1 2 -3 1 0 1 -6 6 -4 1 0 -1 14 -21 12 -5 1 0 1 -26 69 -52 20 -6 1 0 -1 50 | +| 74 | Partition:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | Partition:Alt | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 76 | Partition:Alt | PolyRow3 | A069778 | 0 -1 -6 -21 -52 -105 -186 -301 -456 -657 -910 -1221 -1596 -2041 -2562 -3165 -3856 -4641 -5526 -6517 | +| 77 | Partition:Alt | PolyCol2 | A071109 | 1 -2 2 -6 14 -26 50 -102 214 -426 834 -1678 3398 -6778 13482 -27022 54198 -108306 216346 -432878 | +| 78 | Partition:Alt | PolyCol3 | A261582 | 1 -3 6 -21 69 -201 591 -1785 5406 -16194 48426 -145380 436641 -1309611 3927399 -11783280 35354139 | +| 79 | Partition:Alt | PolyDiag | A292134 | 1 -1 2 -21 220 -2705 40926 -733537 15124216 -352606050 9174382490 -263533561852 8283376452948 | +| 80 | Partition:Rev | Triangle | A080934 | 1 1 0 1 1 0 1 1 1 0 1 1 2 1 0 1 1 2 2 1 0 1 1 2 3 3 1 0 1 1 2 3 4 3 1 0 1 1 2 3 5 5 4 1 0 1 1 2 3 5 | +| 81 | Partition:Rev | InvRev | A059883 | 1 0 1 0 -1 1 0 0 -1 1 0 1 -1 -1 1 0 0 1 -1 -1 1 0 0 1 0 -1 -1 1 0 -1 1 1 0 -1 -1 1 0 -1 0 2 0 0 -1 | +| 82 | Partition:Rev | Acc | missing | 1 1 1 1 2 2 1 2 3 3 1 2 4 5 5 1 2 4 6 7 7 1 2 4 7 10 11 11 1 2 4 7 11 14 15 15 1 2 4 7 12 17 21 22 | +| 83 | Partition:Rev | AccRev | A108456 | 1 0 1 0 1 2 0 1 2 3 0 1 3 4 5 0 1 3 5 6 7 0 1 4 7 9 10 11 0 1 4 8 11 13 14 15 0 1 5 10 15 18 20 21 | +| 84 | Partition:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 1 0 1 1 1 1 1 2 0 1 1 2 1 1 1 2 2 0 1 1 2 3 1 1 1 2 3 3 0 1 1 2 3 4 1 1 1 2 3 5 3 0 1 | +| 85 | Partition:Rev | Diffx1 | missing | 1 1 0 1 2 0 1 2 3 0 1 2 6 4 0 1 2 6 8 5 0 1 2 6 12 15 6 0 1 2 6 12 20 18 7 0 1 2 6 12 25 30 28 8 0 | +| 86 | Partition:Rev | RowSum | A000041 | 1 1 2 3 5 7 11 15 22 30 42 56 77 101 135 176 231 297 385 490 627 792 1002 1255 1575 1958 2436 3010 | +| 87 | Partition:Rev | EvenSum | A046682 | 1 1 1 2 3 4 6 8 12 16 22 29 40 52 69 90 118 151 195 248 317 400 505 632 793 985 1224 1512 1867 2291 | +| 88 | Partition:Rev | OddSum | A000701 | 0 0 1 1 2 3 5 7 10 14 20 27 37 49 66 86 113 146 190 242 310 392 497 623 782 973 1212 1498 1851 2274 | +| 89 | Partition:Rev | AltSum | A000700 | 1 1 0 1 1 1 1 1 2 2 2 2 3 3 3 4 5 5 5 6 7 8 8 9 11 12 12 14 16 17 18 20 | +| 90 | Partition:Rev | DiagSum | A000009 | 1 1 1 2 2 3 4 5 6 8 10 12 15 18 22 27 32 38 46 54 64 76 89 104 122 142 165 192 222 256 296 340 | +| 91 | Partition:Rev | AccSum | A093694 | 1 2 5 9 17 27 46 69 108 158 234 331 476 657 915 1244 1694 2262 3029 3988 5257 6844 8901 11461 14749 | +| 92 | Partition:Rev | AccRevSum | A058397 | 1 1 3 6 13 22 42 66 112 172 270 397 602 858 1245 1748 2464 3381 4671 6302 8537 11372 15147 19914 | +| 93 | Partition:Rev | RowLcm | missing | 1 1 1 1 2 2 6 12 60 420 2520 2310 60060 6930 425040 5135130 5811960 3110747640 15075161640 | +| 94 | Partition:Rev | RowGcd | B288120 | 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 95 | Partition:Rev | RowMax | A002569 | 1 1 1 1 2 2 3 4 5 7 9 11 15 18 23 30 37 47 58 71 90 110 136 164 201 248 300 364 436 525 638 764 | +| 96 | Partition:Rev | ColMiddle | A119620 | 1 1 1 1 2 2 3 3 5 5 7 7 11 11 15 15 22 22 30 30 42 42 56 56 77 77 101 101 135 135 176 176 | +| 97 | Partition:Rev | CentralE | A000041 | 1 1 2 3 5 7 11 15 22 30 42 56 77 101 135 176 | +| 98 | Partition:Rev | CentralO | A000041 | 1 1 2 3 5 7 11 15 22 30 42 56 77 101 135 176 | +| 99 | Partition:Rev | BinConv | A098545 | 1 1 3 7 21 51 148 365 983 2461 6360 15687 39757 97033 240425 582622 1421273 3409861 8222920 | +| 100 | Partition:Rev | InvBinConv | missing | 1 -1 -1 -1 5 -1 4 -15 55 -139 152 -397 1429 -2549 3457 -9330 26105 -48791 86512 -207785 520314 | +| 101 | Partition:Rev | TransNat0 | A196087 | 0 0 1 3 8 15 31 51 90 142 228 341 525 757 1110 1572 2233 3084 4286 5812 7910 10580 14145 18659 | +| 102 | Partition:Rev | TransNat1 | A058397 | 1 1 3 6 13 22 42 66 112 172 270 397 602 858 1245 1748 2464 3381 4671 6302 8537 11372 15147 19914 | +| 103 | Partition:Rev | TransSqrs | missing | 0 0 1 5 18 43 109 211 434 778 1408 2335 3977 6253 9978 15254 23313 34422 51054 73486 105994 149660 | +| 104 | Partition:Rev | PosHalf | A070933 | 1 2 6 14 34 74 166 350 746 1546 3206 6550 13386 27114 54894 110630 222794 447538 898574 1801590 | +| 105 | Partition:Rev | NegHalf | A071109 | 1 -2 2 -6 14 -26 50 -102 214 -426 834 -1678 3398 -6778 13482 -27022 54198 -108306 216346 -432878 | +| 106 | Partition:Rev | DiagRow2 | A008619 | 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 | +| 107 | Partition:Rev | DiagRow3 | A001399 | 1 1 2 3 4 5 7 8 10 12 14 16 19 21 24 27 30 33 37 40 44 48 52 56 61 65 70 75 80 85 91 96 | +| 108 | Partition:Rev | DiagCol1 | A011584 | 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 109 | Partition:Rev | DiagCol2 | A130130 | 0 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | +| 110 | Partition:Rev | DiagCol3 | A158799 | 0 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 | +| 111 | Partition:Rev | Poly | A047030 | 1 1 1 1 1 1 1 2 1 1 1 3 3 1 1 1 5 7 4 1 1 1 7 19 13 5 1 1 1 11 43 49 21 6 1 1 1 15 115 157 101 31 7 | +| 112 | Partition:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 113 | Partition:Rev | PolyRow3 | A247890 | 1 3 7 13 21 31 43 57 73 91 111 133 157 183 211 241 273 307 343 381 421 463 507 553 601 651 703 757 | +| 114 | Partition:Rev | PolyCol2 | A075900 | 1 1 3 7 19 43 115 259 659 1523 3731 8531 20883 47379 113043 259219 609683 1385363 3245459 7344531 | +| 115 | Partition:Rev | PolyCol3 | A300579 | 1 1 4 13 49 157 589 1885 6826 22378 78754 256630 904711 2934247 10133851 33287620 113522089 | +| 116 | Partition:Rev | PolyDiag | A338697 | 1 1 3 13 101 931 12391 178809 3331721 66288142 1589753211 40104031166 1183380156013 36187564837217 | +| 117 | Partition:Inv | Triangle | A059883 | 1 0 1 0 -1 1 0 0 -1 1 0 1 -1 -1 1 0 0 1 -1 -1 1 0 0 1 0 -1 -1 1 0 -1 1 1 0 -1 -1 1 0 -1 0 2 0 0 -1 | +| 118 | Partition:Inv | Rev | A055800 | 1 1 0 1 -1 0 1 -1 0 0 1 -1 -1 1 0 1 -1 -1 1 0 0 1 -1 -1 0 1 0 0 1 -1 -1 0 1 1 -1 0 1 -1 -1 0 0 2 0 | +| 119 | Partition:Inv | RevInv | A080934 | 1 1 0 1 1 0 1 1 1 0 1 1 2 1 0 1 1 2 2 1 0 1 1 2 3 3 1 0 1 1 2 3 4 3 1 0 1 1 2 3 5 5 4 1 0 1 1 2 3 5 | +| 120 | Partition:Inv | Acc | A157687 | 1 0 1 0 -1 0 0 0 -1 0 0 1 0 -1 0 0 0 1 0 -1 0 0 0 1 1 0 -1 0 0 -1 0 1 1 0 -1 0 0 -1 -1 1 1 1 0 -1 0 | +| 121 | Partition:Inv | AccRev | A115512 | 1 1 1 1 0 0 1 0 0 0 1 0 -1 0 0 1 0 -1 0 0 0 1 0 -1 -1 0 0 0 1 0 -1 -1 0 1 0 0 1 0 -1 -1 -1 1 1 0 0 | +| 122 | Partition:Inv | AntiDiag | missing | 1 0 0 1 0 -1 0 0 1 0 1 -1 0 0 -1 1 0 0 1 -1 0 -1 1 -1 1 0 -1 1 0 -1 0 0 0 1 -1 1 0 0 -1 2 0 -1 0 1 | +| 123 | Partition:Inv | Diffx1 | missing | 1 0 2 0 -2 3 0 0 -3 4 0 2 -3 -4 5 0 0 3 -4 -5 6 0 0 3 0 -5 -6 7 0 -2 3 4 0 -6 -7 8 0 -2 0 8 0 0 -7 | +| 124 | Partition:Inv | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 125 | Partition:Inv | EvenSum | missing | 1 0 1 -1 0 0 1 0 0 0 -1 -1 -1 0 0 1 1 2 2 3 3 1 1 -1 -2 -4 -5 -7 -7 -9 -9 -9 | +| 126 | Partition:Inv | OddSum | A115513 | 0 1 -1 1 0 0 -1 0 0 0 1 1 1 0 0 -1 -1 -2 -2 -3 -3 -1 -1 1 2 4 5 7 7 9 9 9 | +| 127 | Partition:Inv | AltSum | missing | 1 -1 2 -2 0 0 2 0 0 0 -2 -2 -2 0 0 2 2 4 4 6 6 2 2 -2 -4 -8 -10 -14 -14 -18 -18 -18 | +| 128 | Partition:Inv | DiagSum | missing | 1 0 1 -1 1 0 0 0 0 -1 1 0 -1 1 1 0 0 0 0 0 0 -1 0 -2 -1 -1 0 -2 1 0 1 0 | +| 129 | Partition:Inv | AccSum | A115513 | 1 1 -1 -1 0 0 1 0 0 0 -1 -1 -1 0 0 1 1 2 2 3 3 1 1 -1 -2 -4 -5 -7 -7 -9 -9 -9 | +| 130 | Partition:Inv | AccRevSum | missing | 1 2 1 1 0 0 -1 0 0 0 1 1 1 0 0 -1 -1 -2 -2 -3 -3 -1 -1 1 2 4 5 7 7 9 9 9 | +| 131 | Partition:Inv | RowLcm | missing | 1 1 1 1 1 1 1 1 2 2 2 2 2 2 6 2 12 12 10 30 20 210 210 40 120 168 1980 168 510 72 440 630 | +| 132 | Partition:Inv | RowGcd | missing | 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 | +| 133 | Partition:Inv | RowMax | A033271 | 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 2 4 4 5 5 5 7 7 8 8 8 11 14 17 18 20 18 | +| 134 | Partition:Inv | ColMiddle | missing | 1 0 -1 0 -1 1 0 1 0 2 1 1 0 2 1 1 0 1 0 1 0 1 0 0 -1 1 0 1 0 0 -1 1 | +| 135 | Partition:Inv | CentralE | A010815 | 1 -1 -1 0 0 1 0 1 0 0 0 0 -1 0 0 -1 | +| 136 | Partition:Inv | CentralO | B064391 | 0 0 1 1 2 1 2 1 1 1 1 0 1 1 0 1 | +| 137 | Partition:Inv | BinConv | missing | 1 1 -1 -2 -5 -4 -5 22 69 172 438 925 1805 3290 6268 9336 16645 19109 25141 -1006 -38061 -292116 | +| 138 | Partition:Inv | InvBinConv | missing | 1 1 3 4 -5 -14 7 -6 -123 -242 -286 -417 -2067 -4536 -2444 -4470 -26843 -42805 -22895 -56942 -289877 | +| 139 | Partition:Inv | TransNat0 | A115513 | 0 1 1 1 0 0 -1 0 0 0 1 1 1 0 0 -1 -1 -2 -2 -3 -3 -1 -1 1 2 4 5 7 7 9 9 9 | +| 140 | Partition:Inv | TransNat1 | missing | 1 2 1 1 0 0 -1 0 0 0 1 1 1 0 0 -1 -1 -2 -2 -3 -3 -1 -1 1 2 4 5 7 7 9 9 9 | +| 141 | Partition:Inv | TransSqrs | missing | 0 1 3 5 4 4 -1 0 -4 -4 -3 1 1 4 8 7 11 6 6 -3 -7 -13 -17 -23 -26 -32 -31 -25 -25 -11 -3 13 | +| 142 | Partition:Inv | PosHalf | missing | 1 1 -1 -1 3 3 11 -21 -69 -69 -293 -37 283 3867 9627 19867 35483 47771 42139 -47973 -419685 -2418533 | +| 143 | Partition:Inv | NegHalf | missing | 1 1 3 3 -9 -9 15 -81 63 63 -609 1695 -2337 8415 -11169 -5025 71007 -162465 533343 -1211553 3000159 | +| 144 | Partition:Inv | DiagRow1 | A011584 | 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 | +| 145 | Partition:Inv | DiagRow2 | A037203 | 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 | +| 146 | Partition:Inv | DiagRow3 | A093313 | 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 147 | Partition:Inv | DiagCol1 | A039800 | 1 -1 0 1 0 0 -1 -1 0 0 1 1 2 2 1 0 -1 -2 -3 -4 -5 -5 -5 -4 -3 -1 2 5 8 11 14 17 | +| 148 | Partition:Inv | DiagCol2 | A039801 | 1 -1 -1 1 1 1 0 -1 -2 -2 -1 -1 0 2 4 4 5 5 5 2 1 -2 -5 -8 -11 -14 -17 -18 -20 -18 -18 -11 | +| 149 | Partition:Inv | DiagCol3 | A039802 | 1 -1 -1 0 1 2 0 1 -1 -2 -2 -3 -2 -2 1 1 3 4 7 7 8 8 7 5 2 -1 -6 -8 -15 -18 -24 -27 | +| 150 | Partition:Inv | Poly | A060701 | 1 0 1 0 1 1 0 0 2 1 0 0 2 3 1 0 0 4 6 4 1 0 0 6 18 12 5 1 0 0 12 48 48 20 6 1 0 0 20 144 180 100 30 | +| 151 | Partition:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 152 | Partition:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 153 | Partition:Inv | PolyRow3 | A045991 | 0 0 4 18 48 100 180 294 448 648 900 1210 1584 2028 2548 3150 3840 4624 5508 6498 7600 8820 10164 | +| 154 | Partition:Inv | PolyCol2 | missing | 1 2 2 4 6 12 20 42 78 156 304 610 1198 2400 4764 9530 18992 37990 75832 151686 303084 606182 | +| 155 | Partition:Inv | PolyCol3 | missing | 1 3 6 18 48 144 414 1248 3696 11088 33138 99426 297858 893616 2679648 8038974 24113358 72340188 | +| 156 | Partition:Inv | PolyDiag | missing | 1 1 2 18 180 2400 37620 689472 14418936 339603840 8900110800 257018244010 8111211039228 | +| 157 | Partition:Inv:Rev | Triangle | A055800 | 1 1 0 1 -1 0 1 -1 0 0 1 -1 -1 1 0 1 -1 -1 1 0 0 1 -1 -1 0 1 0 0 1 -1 -1 0 1 1 -1 0 1 -1 -1 0 0 2 0 | +| 158 | Partition:Inv:Rev | Rev | A059883 | 1 0 1 0 -1 1 0 0 -1 1 0 1 -1 -1 1 0 0 1 -1 -1 1 0 0 1 0 -1 -1 1 0 -1 1 1 0 -1 -1 1 0 -1 0 2 0 0 -1 | +| 159 | Partition:Inv:Rev | InvRev | A068914 | 1 0 1 0 1 1 0 1 1 1 0 1 2 1 1 0 1 2 2 1 1 0 1 3 3 2 1 1 0 1 3 4 3 2 1 1 0 1 4 5 5 3 2 1 1 0 1 4 7 6 | +| 160 | Partition:Inv:Rev | Acc | A115512 | 1 1 1 1 0 0 1 0 0 0 1 0 -1 0 0 1 0 -1 0 0 0 1 0 -1 -1 0 0 0 1 0 -1 -1 0 1 0 0 1 0 -1 -1 -1 1 1 0 0 | +| 161 | Partition:Inv:Rev | AccRev | A157687 | 1 0 1 0 -1 0 0 0 -1 0 0 1 0 -1 0 0 0 1 0 -1 0 0 0 1 1 0 -1 0 0 -1 0 1 1 0 -1 0 0 -1 -1 1 1 1 0 -1 0 | +| 162 | Partition:Inv:Rev | AntiDiag | A014677 | 1 1 1 0 1 -1 1 -1 0 1 -1 0 1 -1 -1 0 1 -1 -1 1 1 -1 -1 1 0 1 -1 -1 0 0 1 -1 -1 0 1 0 1 -1 -1 0 1 0 | +| 163 | Partition:Inv:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 -2 0 0 1 -2 -3 4 0 1 -2 -3 4 0 0 1 -2 -3 0 5 0 0 1 -2 -3 0 5 6 -7 0 1 -2 -3 0 0 12 0 | +| 164 | Partition:Inv:Rev | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 165 | Partition:Inv:Rev | EvenSum | A115513 | 1 1 1 1 0 0 1 0 0 0 -1 1 -1 0 0 -1 1 -2 2 -3 3 -1 1 1 -2 4 -5 7 -7 9 -9 9 | +| 166 | Partition:Inv:Rev | OddSum | missing | 0 0 -1 -1 0 0 -1 0 0 0 1 -1 1 0 0 1 -1 2 -2 3 -3 1 -1 -1 2 -4 5 -7 7 -9 9 -9 | +| 167 | Partition:Inv:Rev | AltSum | missing | 1 1 2 2 0 0 2 0 0 0 -2 2 -2 0 0 -2 2 -4 4 -6 6 -2 2 2 -4 8 -10 14 -14 18 -18 18 | +| 168 | Partition:Inv:Rev | DiagSum | missing | 1 1 1 0 0 0 -1 0 0 -1 0 0 0 0 1 -1 0 2 -1 1 0 0 0 1 -1 0 0 0 0 -1 0 -1 | +| 169 | Partition:Inv:Rev | AccSum | missing | 1 2 1 1 0 0 -1 0 0 0 1 1 1 0 0 -1 -1 -2 -2 -3 -3 -1 -1 1 2 4 5 7 7 9 9 9 | +| 170 | Partition:Inv:Rev | AccRevSum | A115513 | 1 1 -1 -1 0 0 1 0 0 0 -1 -1 -1 0 0 1 1 2 2 3 3 1 1 -1 -2 -4 -5 -7 -7 -9 -9 -9 | +| 171 | Partition:Inv:Rev | RowLcm | missing | 1 1 1 1 1 1 1 1 2 2 2 2 2 2 6 2 12 12 10 30 20 210 210 40 120 168 1980 168 510 72 440 630 | +| 172 | Partition:Inv:Rev | RowGcd | missing | 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 | +| 173 | Partition:Inv:Rev | RowMax | A033271 | 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 2 4 4 5 5 5 7 7 8 8 8 11 14 17 18 20 18 | +| 174 | Partition:Inv:Rev | ColMiddle | missing | 1 1 -1 -1 -1 -1 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0 -1 -1 0 0 0 0 -1 -1 | +| 175 | Partition:Inv:Rev | CentralE | A010815 | 1 -1 -1 0 0 1 0 1 0 0 0 0 -1 0 0 -1 | +| 176 | Partition:Inv:Rev | CentralO | A010815 | 1 -1 -1 0 0 1 0 1 0 0 0 0 -1 0 0 -1 | +| 177 | Partition:Inv:Rev | BinConv | missing | 1 1 -1 -2 -5 -4 -5 22 69 172 438 925 1805 3290 6268 9336 16645 19109 25141 -1006 -38061 -292116 | +| 178 | Partition:Inv:Rev | InvBinConv | missing | 1 -1 3 -4 -5 14 7 6 -123 242 -286 417 -2067 4536 -2444 4470 -26843 42805 -22895 56942 -289877 | +| 179 | Partition:Inv:Rev | TransNat0 | missing | 0 0 -1 -1 0 0 1 0 0 0 -1 -1 -1 0 0 1 1 2 2 3 3 1 1 -1 -2 -4 -5 -7 -7 -9 -9 -9 | +| 180 | Partition:Inv:Rev | TransNat1 | A115513 | 1 1 -1 -1 0 0 1 0 0 0 -1 -1 -1 0 0 1 1 2 2 3 3 1 1 -1 -2 -4 -5 -7 -7 -9 -9 -9 | +| 181 | Partition:Inv:Rev | TransSqrs | missing | 0 0 -1 -1 4 4 11 0 -4 -4 -23 -21 -23 4 8 37 43 74 78 111 113 29 27 -69 -122 -232 -291 -403 -417 | +| 182 | Partition:Inv:Rev | PosHalf | missing | 1 2 2 4 6 12 20 42 78 156 304 610 1198 2400 4764 9530 18992 37990 75832 151686 303084 606182 | +| 183 | Partition:Inv:Rev | NegHalf | missing | 1 -2 6 -12 18 -36 84 -162 306 -612 1248 -2514 4938 -9864 19908 -39786 79248 -158502 317616 -635166 | +| 184 | Partition:Inv:Rev | DiagRow1 | A039800 | 1 -1 0 1 0 0 -1 -1 0 0 1 1 2 2 1 0 -1 -2 -3 -4 -5 -5 -5 -4 -3 -1 2 5 8 11 14 17 | +| 185 | Partition:Inv:Rev | DiagRow2 | A039801 | 1 -1 -1 1 1 1 0 -1 -2 -2 -1 -1 0 2 4 4 5 5 5 2 1 -2 -5 -8 -11 -14 -17 -18 -20 -18 -18 -11 | +| 186 | Partition:Inv:Rev | DiagRow3 | A039802 | 1 -1 -1 0 1 2 0 1 -1 -2 -2 -3 -2 -2 1 1 3 4 7 7 8 8 7 5 2 -1 -6 -8 -15 -18 -24 -27 | +| 187 | Partition:Inv:Rev | DiagCol1 | A011584 | 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 | +| 188 | Partition:Inv:Rev | DiagCol2 | A037203 | 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 | +| 189 | Partition:Inv:Rev | DiagCol3 | A093313 | 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 190 | Partition:Inv:Rev | Poly | A071024 | 1 1 1 1 1 1 1 0 1 1 1 0 -1 1 1 1 0 -1 -2 1 1 1 0 3 -2 -3 1 1 1 0 3 16 -3 -4 1 1 1 0 11 16 45 -4 -5 | +| 191 | Partition:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 192 | Partition:Inv:Rev | PolyRow3 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 193 | Partition:Inv:Rev | PolyCol2 | missing | 1 1 -1 -1 3 3 11 -21 -69 -69 -293 -37 283 3867 9627 19867 35483 47771 42139 -47973 -419685 -2418533 | +| 194 | Partition:Inv:Rev | PolyCol3 | missing | 1 1 -2 -2 16 16 70 -416 -1712 -1712 -9974 16270 83338 752560 2607136 6504370 14193862 13130980 | +| 195 | Partition:Inv:Rev | PolyDiag | missing | 1 1 -1 -2 45 96 1255 -98496 -2031687 -4664960 -188900109 21028589990 670843358053 44517814236000 | \ No newline at end of file diff --git a/data/md/PartitionDist.md b/data/md/PartitionDist.md index e3fc5cb..ddad381 100644 --- a/data/md/PartitionDist.md +++ b/data/md/PartitionDist.md @@ -1,80 +1,120 @@ -| | triangle | trait | anum | seq | -|---:|:------------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | PartitionDist:Std | Triangle | A365676 | 1 0 1 0 2 0 0 2 1 0 0 3 2 0 0 0 2 5 0 0 0 0 4 6 1 0 0 0 0 2 11 2 0 0 0 0 0 4 13 5 0 0 0 0 0 0 3 17 | -| 1 | PartitionDist:Std | Rev | missing | 1 1 0 0 2 0 0 1 2 0 0 0 2 3 0 0 0 0 5 2 0 0 0 0 1 6 4 0 0 0 0 0 2 11 2 0 0 0 0 0 0 5 13 4 0 0 0 0 0 | -| 2 | PartitionDist:Std | Acc | missing | 1 0 1 0 2 2 0 2 3 3 0 3 5 5 5 0 2 7 7 7 7 0 4 10 11 11 11 11 0 2 13 15 15 15 15 15 0 4 17 22 22 22 | -| 3 | PartitionDist:Std | AccRev | missing | 1 1 1 0 2 2 0 1 3 3 0 0 2 5 5 0 0 0 5 7 7 0 0 0 1 7 11 11 0 0 0 0 2 13 15 15 0 0 0 0 0 5 18 22 22 0 | -| 4 | PartitionDist:Std | AntiDiag | missing | 1 0 0 1 0 2 0 2 0 0 3 1 0 2 2 0 0 4 5 0 0 2 6 0 0 0 4 11 1 0 0 3 13 2 0 0 0 4 17 5 0 0 0 2 22 10 0 | -| 5 | PartitionDist:Std | Diffx1 | missing | 1 0 2 0 4 0 0 4 3 0 0 6 6 0 0 0 4 15 0 0 0 0 8 18 4 0 0 0 0 4 33 8 0 0 0 0 0 8 39 20 0 0 0 0 0 0 6 | -| 6 | PartitionDist:Std | RowSum | A000041 | 1 1 2 3 5 7 11 15 22 30 42 56 77 101 135 176 231 297 385 490 627 792 1002 1255 1575 1958 2436 3010 | -| 7 | PartitionDist:Std | EvenSum | A092306 | 1 0 0 1 2 5 6 11 13 17 23 29 34 47 64 74 107 136 185 233 308 392 518 637 814 1002 1272 1560 1912 | -| 8 | PartitionDist:Std | OddSum | A090794 | 0 1 2 2 3 2 5 4 9 13 19 27 43 54 71 102 124 161 200 257 319 400 484 618 761 956 1164 1450 1806 2226 | -| 9 | PartitionDist:Std | AltSum | A104575 | 1 -1 -2 -1 -1 3 1 7 4 4 4 2 -9 -7 -7 -28 -17 -25 -15 -24 -11 -8 34 19 53 46 108 110 106 113 122 108 | -| 10 | PartitionDist:Std | DiagSum | missing | 1 0 1 2 2 4 4 9 8 16 18 26 34 48 57 80 105 126 174 212 277 340 442 535 689 835 1056 1275 1611 1930 | -| 11 | PartitionDist:Std | AccSum | A365675 | 1 1 4 8 18 30 58 90 153 233 365 533 806 1142 1652 2308 3243 4431 6103 8203 11080 14710 19540 25612 | -| 12 | PartitionDist:Std | AccRevSum | A000070 | 1 2 4 7 12 19 30 45 67 97 139 195 272 373 508 684 915 1212 1597 2087 2714 3506 4508 5763 7338 9296 | -| 13 | PartitionDist:Std | RowLcm | missing | 1 1 2 2 6 10 12 22 260 510 660 1350 32190 9620 14740 64020 25740 45430 1829880 5405940 20372796 | -| 14 | PartitionDist:Std | RowGcd | missing | 1 1 2 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 | -| 15 | PartitionDist:Std | RowMax | missing | 1 1 2 2 3 5 6 11 13 17 22 27 37 52 67 97 117 154 184 235 277 338 414 535 692 873 1100 1369 1661 | -| 16 | PartitionDist:Std | ColMiddle | missing | 1 0 2 2 2 5 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 17 | PartitionDist:Std | CentralE | B010054 | 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 | -| 18 | PartitionDist:Std | CentralO | B000122 | 0 2 5 2 0 0 0 0 0 0 0 0 0 0 0 0 | -| 19 | PartitionDist:Std | ColRight | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 20 | PartitionDist:Std | BinConv | missing | 1 1 4 9 24 60 134 315 676 1479 3040 6292 12601 24934 48468 92768 175576 326978 604356 1100366 | -| 21 | PartitionDist:Std | InvBinConv | missing | 1 1 -4 3 0 -40 46 -147 52 255 -640 2002 -3823 4862 -420 1628 26904 -55590 132492 -179740 241161 | -| 22 | PartitionDist:Std | TransNat0 | A000070 | 0 1 2 4 7 12 19 30 45 67 97 139 195 272 373 508 684 915 1212 1597 2087 2714 3506 4508 5763 7338 | -| 23 | PartitionDist:Std | TransNat1 | A000070 | 1 2 4 7 12 19 30 45 67 97 139 195 272 373 508 684 915 1212 1597 2087 2714 3506 4508 5763 7338 9296 | -| 24 | PartitionDist:Std | TransSqrs | A135348 | 0 1 2 6 11 22 37 64 101 161 243 367 535 778 1103 1558 2160 2981 4056 5493 7355 9804 12948 17026 | -| 25 | PartitionDist:Std | PosHalf | missing | 1 1 4 10 32 72 232 512 1504 3584 9664 22528 62208 142336 370688 885760 2240512 5238784 13271040 | -| 26 | PartitionDist:Std | NegHalf | missing | 1 1 -4 6 -16 -8 -40 -192 160 -768 1728 -5632 -256 -19456 30720 41984 -12288 110592 -524288 1638400 | -| 27 | PartitionDist:Std | DiagRow1 | A033322 | 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 28 | PartitionDist:Std | DiagRow2 | B000007 | 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 29 | PartitionDist:Std | DiagRow3 | B000007 | 0 3 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 30 | PartitionDist:Std | DiagCol1 | A000005 | 1 2 2 3 2 4 2 4 3 4 2 6 2 4 4 5 2 6 2 6 4 4 2 8 3 4 4 6 2 8 2 6 | -| 31 | PartitionDist:Std | DiagCol2 | A045845 | 0 1 2 5 6 11 13 17 22 27 29 37 44 44 55 59 68 71 81 82 102 97 112 109 136 126 149 141 168 157 188 | -| 32 | PartitionDist:Std | DiagCol3 | B002134 | 0 0 0 1 2 5 10 15 25 37 52 67 97 117 154 184 235 277 338 385 469 531 630 698 810 910 1038 1144 1295 | -| 33 | PartitionDist:Std | Poly | missing | 1 0 1 0 1 1 0 2 2 1 0 3 4 3 1 0 5 8 6 4 1 0 7 14 15 8 5 1 0 11 24 27 24 10 6 1 0 15 40 51 44 35 12 | -| 34 | PartitionDist:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 35 | PartitionDist:Std | PolyRow2 | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 | -| 36 | PartitionDist:Std | PolyRow3 | A005563 | 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 783 | -| 37 | PartitionDist:Std | PolyCol2 | A004402 | 1 2 4 8 14 24 40 64 100 154 232 344 504 728 1040 1472 2062 2864 3948 5400 7336 9904 13288 17728 | -| 38 | PartitionDist:Std | PolyCol3 | A264686 | 1 3 6 15 27 51 93 159 264 432 696 1086 1683 2553 3837 5700 8367 12147 17505 24972 35361 49728 69402 | -| 39 | PartitionDist:Std | PolyDiag | A321880 | 1 1 4 15 44 135 456 1239 3424 8694 27240 65846 171864 406133 960848 2615460 5998416 14304089 | -| 40 | PartitionDist:Rev | Triangle | missing | 1 1 0 0 2 0 0 1 2 0 0 0 2 3 0 0 0 0 5 2 0 0 0 0 1 6 4 0 0 0 0 0 2 11 2 0 0 0 0 0 0 5 13 4 0 0 0 0 0 | -| 41 | PartitionDist:Rev | Acc | missing | 1 1 1 0 2 2 0 1 3 3 0 0 2 5 5 0 0 0 5 7 7 0 0 0 1 7 11 11 0 0 0 0 2 13 15 15 0 0 0 0 0 5 18 22 22 0 | -| 42 | PartitionDist:Rev | AccRev | missing | 1 0 1 0 2 2 0 2 3 3 0 3 5 5 5 0 2 7 7 7 7 0 4 10 11 11 11 11 0 2 13 15 15 15 15 15 0 4 17 22 22 22 | -| 43 | PartitionDist:Rev | AntiDiag | missing | 1 1 0 0 0 2 0 1 0 0 0 2 0 0 2 0 0 0 0 3 0 0 0 5 0 0 0 0 1 2 0 0 0 0 6 0 0 0 0 0 2 4 0 0 0 0 0 11 0 | -| 44 | PartitionDist:Rev | Diffx1 | missing | 1 1 0 0 4 0 0 2 6 0 0 0 6 12 0 0 0 0 20 10 0 0 0 0 4 30 24 0 0 0 0 0 10 66 14 0 0 0 0 0 0 30 91 32 | -| 45 | PartitionDist:Rev | RowSum | A000041 | 1 1 2 3 5 7 11 15 22 30 42 56 77 101 135 176 231 297 385 490 627 792 1002 1255 1575 1958 2436 3010 | -| 46 | PartitionDist:Rev | EvenSum | missing | 1 1 0 2 2 2 6 4 13 13 23 27 34 54 64 102 107 161 185 257 308 400 518 618 814 956 1272 1450 1912 | -| 47 | PartitionDist:Rev | OddSum | missing | 0 0 2 1 3 5 5 11 9 17 19 29 43 47 71 74 124 136 200 233 319 392 484 637 761 1002 1164 1560 1806 | -| 48 | PartitionDist:Rev | AltSum | A104575 | 1 1 -2 1 -1 -3 1 -7 4 -4 4 -2 -9 7 -7 28 -17 25 -15 24 -11 8 34 -19 53 -46 108 -110 106 -113 122 | -| 49 | PartitionDist:Rev | DiagSum | missing | 1 1 0 2 1 2 2 3 5 3 6 6 11 7 13 14 18 18 24 29 32 39 39 58 57 70 74 103 96 126 132 169 | -| 50 | PartitionDist:Rev | AccSum | A000070 | 1 2 4 7 12 19 30 45 67 97 139 195 272 373 508 684 915 1212 1597 2087 2714 3506 4508 5763 7338 9296 | -| 51 | PartitionDist:Rev | AccRevSum | A365675 | 1 1 4 8 18 30 58 90 153 233 365 533 806 1142 1652 2308 3243 4431 6103 8203 11080 14710 19540 25612 | -| 52 | PartitionDist:Rev | RowLcm | missing | 1 1 2 2 6 10 12 22 260 510 660 1350 32190 9620 14740 64020 25740 45430 1829880 5405940 20372796 | -| 53 | PartitionDist:Rev | RowGcd | missing | 1 1 2 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 | -| 54 | PartitionDist:Rev | RowMax | missing | 1 1 2 2 3 5 6 11 13 17 22 27 37 52 67 97 117 154 184 235 277 338 414 535 692 873 1100 1369 1661 | -| 55 | PartitionDist:Rev | ColMiddle | missing | 1 1 2 1 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 56 | PartitionDist:Rev | CentralE | B010054 | 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 | -| 57 | PartitionDist:Rev | CentralO | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 58 | PartitionDist:Rev | ColLeft | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 59 | PartitionDist:Rev | BinConv | missing | 1 1 4 9 24 60 134 315 676 1479 3040 6292 12601 24934 48468 92768 175576 326978 604356 1100366 | -| 60 | PartitionDist:Rev | InvBinConv | missing | 1 -1 -4 -3 0 40 46 147 52 -255 -640 -2002 -3823 -4862 -420 -1628 26904 55590 132492 179740 241161 | -| 61 | PartitionDist:Rev | TransNat0 | A194552 | 0 0 2 5 13 23 47 75 131 203 323 477 729 1041 1517 2132 3012 4134 5718 7713 10453 13918 18538 24357 | -| 62 | PartitionDist:Rev | TransNat1 | A365675 | 1 1 4 8 18 30 58 90 153 233 365 533 806 1142 1652 2308 3243 4431 6103 8203 11080 14710 19540 25612 | -| 63 | PartitionDist:Rev | TransSqrs | missing | 0 0 2 9 35 77 205 379 789 1385 2503 4085 6943 10775 17119 25918 39408 57704 85164 121697 174675 | -| 64 | PartitionDist:Rev | PosHalf | A004402 | 1 2 4 8 14 24 40 64 100 154 232 344 504 728 1040 1472 2062 2864 3948 5400 7336 9904 13288 17728 | -| 65 | PartitionDist:Rev | NegHalf | missing | 1 -2 -4 0 2 16 8 24 4 -18 -24 -64 -112 -112 -48 -160 42 72 340 352 576 768 1032 808 792 302 72 -272 | -| 66 | PartitionDist:Rev | DiagRow1 | A000005 | 1 2 2 3 2 4 2 4 3 4 2 6 2 4 4 5 2 6 2 6 4 4 2 8 3 4 4 6 2 8 2 6 | -| 67 | PartitionDist:Rev | DiagRow2 | A045845 | 0 1 2 5 6 11 13 17 22 27 29 37 44 44 55 59 68 71 81 82 102 97 112 109 136 126 149 141 168 157 188 | -| 68 | PartitionDist:Rev | DiagRow3 | B002134 | 0 0 0 1 2 5 10 15 25 37 52 67 97 117 154 184 235 277 338 385 469 531 630 698 810 910 1038 1144 1295 | -| 69 | PartitionDist:Rev | DiagCol1 | A033322 | 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 70 | PartitionDist:Rev | DiagCol2 | B000007 | 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 71 | PartitionDist:Rev | DiagCol3 | B000007 | 0 3 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 72 | PartitionDist:Rev | Poly | missing | 1 1 1 0 1 1 0 2 1 1 0 3 4 1 1 0 5 10 6 1 1 0 7 32 21 8 1 1 0 11 72 99 36 10 1 1 0 15 232 297 224 55 | -| 73 | PartitionDist:Rev | PolyRow2 | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 | -| 74 | PartitionDist:Rev | PolyRow3 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | -| 75 | PartitionDist:Rev | PolyCol2 | missing | 1 1 4 10 32 72 232 512 1504 3584 9664 22528 62208 142336 370688 885760 2240512 5238784 13271040 | -| 76 | PartitionDist:Rev | PolyCol3 | missing | 1 1 6 21 99 297 1485 4293 19440 64152 256608 817938 3536379 10884699 42810525 146205324 549332847 | -| 77 | PartitionDist:Rev | PolyDiag | missing | 1 1 4 21 224 1875 39096 424977 11960320 215765046 6351000000 120937383226 6446715568128 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:------------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | PartitionDist:Std | Triangle | A365676 | 1 0 1 0 2 0 0 2 1 0 0 3 2 0 0 0 2 5 0 0 0 0 4 6 1 0 0 0 0 2 11 2 0 0 0 0 0 4 13 5 0 0 0 0 0 0 3 17 | +| 1 | PartitionDist:Std | Rev | missing | 1 1 0 0 2 0 0 1 2 0 0 0 2 3 0 0 0 0 5 2 0 0 0 0 1 6 4 0 0 0 0 0 2 11 2 0 0 0 0 0 0 5 13 4 0 0 0 0 0 | +| 2 | PartitionDist:Std | Acc | missing | 1 0 1 0 2 2 0 2 3 3 0 3 5 5 5 0 2 7 7 7 7 0 4 10 11 11 11 11 0 2 13 15 15 15 15 15 0 4 17 22 22 22 | +| 3 | PartitionDist:Std | AccRev | missing | 1 1 1 0 2 2 0 1 3 3 0 0 2 5 5 0 0 0 5 7 7 0 0 0 1 7 11 11 0 0 0 0 2 13 15 15 0 0 0 0 0 5 18 22 22 0 | +| 4 | PartitionDist:Std | AntiDiag | missing | 1 0 0 1 0 2 0 2 0 0 3 1 0 2 2 0 0 4 5 0 0 2 6 0 0 0 4 11 1 0 0 3 13 2 0 0 0 4 17 5 0 0 0 2 22 10 0 | +| 5 | PartitionDist:Std | Diffx1 | missing | 1 0 2 0 4 0 0 4 3 0 0 6 6 0 0 0 4 15 0 0 0 0 8 18 4 0 0 0 0 4 33 8 0 0 0 0 0 8 39 20 0 0 0 0 0 0 6 | +| 6 | PartitionDist:Std | RowSum | A000041 | 1 1 2 3 5 7 11 15 22 30 42 56 77 101 135 176 231 297 385 490 627 792 1002 1255 1575 1958 2436 3010 | +| 7 | PartitionDist:Std | EvenSum | A092306 | 1 0 0 1 2 5 6 11 13 17 23 29 34 47 64 74 107 136 185 233 308 392 518 637 814 1002 1272 1560 1912 | +| 8 | PartitionDist:Std | OddSum | A090794 | 0 1 2 2 3 2 5 4 9 13 19 27 43 54 71 102 124 161 200 257 319 400 484 618 761 956 1164 1450 1806 2226 | +| 9 | PartitionDist:Std | AltSum | A104575 | 1 -1 -2 -1 -1 3 1 7 4 4 4 2 -9 -7 -7 -28 -17 -25 -15 -24 -11 -8 34 19 53 46 108 110 106 113 122 108 | +| 10 | PartitionDist:Std | DiagSum | missing | 1 0 1 2 2 4 4 9 8 16 18 26 34 48 57 80 105 126 174 212 277 340 442 535 689 835 1056 1275 1611 1930 | +| 11 | PartitionDist:Std | AccSum | A365675 | 1 1 4 8 18 30 58 90 153 233 365 533 806 1142 1652 2308 3243 4431 6103 8203 11080 14710 19540 25612 | +| 12 | PartitionDist:Std | AccRevSum | A000070 | 1 2 4 7 12 19 30 45 67 97 139 195 272 373 508 684 915 1212 1597 2087 2714 3506 4508 5763 7338 9296 | +| 13 | PartitionDist:Std | RowLcm | missing | 1 1 2 2 6 10 12 22 260 510 660 1350 32190 9620 14740 64020 25740 45430 1829880 5405940 20372796 | +| 14 | PartitionDist:Std | RowGcd | missing | 1 1 2 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 | +| 15 | PartitionDist:Std | RowMax | missing | 1 1 2 2 3 5 6 11 13 17 22 27 37 52 67 97 117 154 184 235 277 338 414 535 692 873 1100 1369 1661 | +| 16 | PartitionDist:Std | ColMiddle | missing | 1 0 2 2 2 5 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 17 | PartitionDist:Std | CentralE | B010054 | 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 | +| 18 | PartitionDist:Std | CentralO | B000122 | 0 2 5 2 0 0 0 0 0 0 0 0 0 0 0 0 | +| 19 | PartitionDist:Std | ColRight | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 20 | PartitionDist:Std | BinConv | missing | 1 1 4 9 24 60 134 315 676 1479 3040 6292 12601 24934 48468 92768 175576 326978 604356 1100366 | +| 21 | PartitionDist:Std | InvBinConv | missing | 1 1 -4 3 0 -40 46 -147 52 255 -640 2002 -3823 4862 -420 1628 26904 -55590 132492 -179740 241161 | +| 22 | PartitionDist:Std | TransNat0 | A000070 | 0 1 2 4 7 12 19 30 45 67 97 139 195 272 373 508 684 915 1212 1597 2087 2714 3506 4508 5763 7338 | +| 23 | PartitionDist:Std | TransNat1 | A000070 | 1 2 4 7 12 19 30 45 67 97 139 195 272 373 508 684 915 1212 1597 2087 2714 3506 4508 5763 7338 9296 | +| 24 | PartitionDist:Std | TransSqrs | A135348 | 0 1 2 6 11 22 37 64 101 161 243 367 535 778 1103 1558 2160 2981 4056 5493 7355 9804 12948 17026 | +| 25 | PartitionDist:Std | PosHalf | missing | 1 1 4 10 32 72 232 512 1504 3584 9664 22528 62208 142336 370688 885760 2240512 5238784 13271040 | +| 26 | PartitionDist:Std | NegHalf | missing | 1 1 -4 6 -16 -8 -40 -192 160 -768 1728 -5632 -256 -19456 30720 41984 -12288 110592 -524288 1638400 | +| 27 | PartitionDist:Std | DiagRow1 | A033322 | 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 28 | PartitionDist:Std | DiagRow2 | B000007 | 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 29 | PartitionDist:Std | DiagRow3 | B000007 | 0 3 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 30 | PartitionDist:Std | DiagCol1 | A000005 | 1 2 2 3 2 4 2 4 3 4 2 6 2 4 4 5 2 6 2 6 4 4 2 8 3 4 4 6 2 8 2 6 | +| 31 | PartitionDist:Std | DiagCol2 | A045845 | 0 1 2 5 6 11 13 17 22 27 29 37 44 44 55 59 68 71 81 82 102 97 112 109 136 126 149 141 168 157 188 | +| 32 | PartitionDist:Std | DiagCol3 | B002134 | 0 0 0 1 2 5 10 15 25 37 52 67 97 117 154 184 235 277 338 385 469 531 630 698 810 910 1038 1144 1295 | +| 33 | PartitionDist:Std | Poly | missing | 1 0 1 0 1 1 0 2 2 1 0 3 4 3 1 0 5 8 6 4 1 0 7 14 15 8 5 1 0 11 24 27 24 10 6 1 0 15 40 51 44 35 12 | +| 34 | PartitionDist:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 35 | PartitionDist:Std | PolyRow2 | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 | +| 36 | PartitionDist:Std | PolyRow3 | A005563 | 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 783 | +| 37 | PartitionDist:Std | PolyCol2 | A004402 | 1 2 4 8 14 24 40 64 100 154 232 344 504 728 1040 1472 2062 2864 3948 5400 7336 9904 13288 17728 | +| 38 | PartitionDist:Std | PolyCol3 | A264686 | 1 3 6 15 27 51 93 159 264 432 696 1086 1683 2553 3837 5700 8367 12147 17505 24972 35361 49728 69402 | +| 39 | PartitionDist:Std | PolyDiag | A321880 | 1 1 4 15 44 135 456 1239 3424 8694 27240 65846 171864 406133 960848 2615460 5998416 14304089 | +| 40 | PartitionDist:Alt | Triangle | A365676 | 1 0 -1 0 -2 0 0 -2 1 0 0 -3 2 0 0 0 -2 5 0 0 0 0 -4 6 -1 0 0 0 0 -2 11 -2 0 0 0 0 0 -4 13 -5 0 0 0 | +| 41 | PartitionDist:Alt | Rev | missing | 1 -1 0 0 -2 0 0 1 -2 0 0 0 2 -3 0 0 0 0 5 -2 0 0 0 0 -1 6 -4 0 0 0 0 0 -2 11 -2 0 0 0 0 0 0 -5 13 | +| 42 | PartitionDist:Alt | Acc | missing | 1 0 -1 0 -2 -2 0 -2 -1 -1 0 -3 -1 -1 -1 0 -2 3 3 3 3 0 -4 2 1 1 1 1 0 -2 9 7 7 7 7 7 0 -4 9 4 4 4 4 | +| 43 | PartitionDist:Alt | AccRev | missing | 1 -1 -1 0 -2 -2 0 1 -1 -1 0 0 2 -1 -1 0 0 0 5 3 3 0 0 0 -1 5 1 1 0 0 0 0 -2 9 7 7 0 0 0 0 0 -5 8 4 | +| 44 | PartitionDist:Alt | AntiDiag | missing | 1 0 0 -1 0 -2 0 -2 0 0 -3 1 0 -2 2 0 0 -4 5 0 0 -2 6 0 0 0 -4 11 -1 0 0 -3 13 -2 0 0 0 -4 17 -5 0 0 | +| 45 | PartitionDist:Alt | Diffx1 | missing | 1 0 -2 0 -4 0 0 -4 3 0 0 -6 6 0 0 0 -4 15 0 0 0 0 -8 18 -4 0 0 0 0 -4 33 -8 0 0 0 0 0 -8 39 -20 0 0 | +| 46 | PartitionDist:Alt | RowSum | A104575 | 1 -1 -2 -1 -1 3 1 7 4 4 4 2 -9 -7 -7 -28 -17 -25 -15 -24 -11 -8 34 19 53 46 108 110 106 113 122 108 | +| 47 | PartitionDist:Alt | EvenSum | A092306 | 1 0 0 1 2 5 6 11 13 17 23 29 34 47 64 74 107 136 185 233 308 392 518 637 814 1002 1272 1560 1912 | +| 48 | PartitionDist:Alt | OddSum | A090794 | 0 -1 -2 -2 -3 -2 -5 -4 -9 -13 -19 -27 -43 -54 -71 -102 -124 -161 -200 -257 -319 -400 -484 -618 -761 | +| 49 | PartitionDist:Alt | AltSum | A000041 | 1 1 2 3 5 7 11 15 22 30 42 56 77 101 135 176 231 297 385 490 627 792 1002 1255 1575 1958 2436 3010 | +| 50 | PartitionDist:Alt | DiagSum | missing | 1 0 -1 -2 -2 -2 0 1 4 6 8 8 10 6 3 -2 -7 -18 -24 -34 -37 -44 -46 -47 -31 -23 -4 15 49 78 124 150 | +| 51 | PartitionDist:Alt | AccSum | missing | 1 -1 -4 -4 -6 10 2 42 29 39 45 39 -78 -54 -68 -356 -241 -387 -281 -463 -284 -274 544 236 984 874 | +| 52 | PartitionDist:Alt | AccRevSum | missing | 1 -2 -4 -1 0 11 6 21 11 5 3 -13 -48 -51 -44 -120 -65 -88 -19 -41 42 90 272 239 394 368 588 614 472 | +| 53 | PartitionDist:Alt | RowLcm | missing | 1 1 2 2 6 10 12 22 260 510 660 1350 32190 9620 14740 64020 25740 45430 1829880 5405940 20372796 | +| 54 | PartitionDist:Alt | RowGcd | missing | 1 1 2 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 | +| 55 | PartitionDist:Alt | RowMax | missing | 1 1 2 2 3 5 6 11 13 17 22 27 37 52 67 97 117 154 184 235 277 338 414 535 692 873 1100 1369 1661 | +| 56 | PartitionDist:Alt | ColMiddle | missing | 1 0 -2 -2 2 5 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 57 | PartitionDist:Alt | CentralE | B010815 | 1 -2 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 | +| 58 | PartitionDist:Alt | CentralO | B002448 | 0 -2 5 -2 0 0 0 0 0 0 0 0 0 0 0 0 | +| 59 | PartitionDist:Alt | ColRight | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 60 | PartitionDist:Alt | BinConv | missing | 1 -1 -4 -3 0 40 46 147 52 -255 -640 -2002 -3823 -4862 -420 -1628 26904 55590 132492 179740 241161 | +| 61 | PartitionDist:Alt | InvBinConv | missing | 1 -1 4 -9 24 -60 134 -315 676 -1479 3040 -6292 12601 -24934 48468 -92768 175576 -326978 604356 | +| 62 | PartitionDist:Alt | TransNat0 | missing | 0 -1 -2 0 1 8 5 14 7 1 -1 -15 -39 -44 -37 -92 -48 -63 -4 -17 53 98 238 220 341 322 480 504 366 360 | +| 63 | PartitionDist:Alt | TransNat1 | missing | 1 -2 -4 -1 0 11 6 21 11 5 3 -13 -48 -51 -44 -120 -65 -88 -19 -41 42 90 272 239 394 368 588 614 472 | +| 64 | PartitionDist:Alt | TransSqrs | missing | 0 -1 -2 2 5 18 11 24 3 -25 -35 -87 -143 -162 -111 -246 -56 -45 232 259 557 812 1260 1230 1543 1376 | +| 65 | PartitionDist:Alt | PosHalf | missing | 1 -1 -4 -6 -16 8 -40 192 160 768 1728 5632 -256 19456 30720 -41984 -12288 -110592 -524288 -1638400 | +| 66 | PartitionDist:Alt | NegHalf | missing | 1 -1 4 -10 32 -72 232 -512 1504 -3584 9664 -22528 62208 -142336 370688 -885760 2240512 -5238784 | +| 67 | PartitionDist:Alt | DiagRow1 | A033322 | 0 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 68 | PartitionDist:Alt | DiagRow2 | B000007 | 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 69 | PartitionDist:Alt | DiagRow3 | B240328 | 0 -3 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 70 | PartitionDist:Alt | DiagCol1 | A000005 | -1 -2 -2 -3 -2 -4 -2 -4 -3 -4 -2 -6 -2 -4 -4 -5 -2 -6 -2 -6 -4 -4 -2 -8 -3 -4 -4 -6 -2 -8 -2 -6 | +| 71 | PartitionDist:Alt | DiagCol2 | A045845 | 0 1 2 5 6 11 13 17 22 27 29 37 44 44 55 59 68 71 81 82 102 97 112 109 136 126 149 141 168 157 188 | +| 72 | PartitionDist:Alt | DiagCol3 | B002134 | 0 0 0 -1 -2 -5 -10 -15 -25 -37 -52 -67 -97 -117 -154 -184 -235 -277 -338 -385 -469 -531 -630 -698 | +| 73 | PartitionDist:Alt | Poly | missing | 1 0 1 0 -1 1 0 -2 -2 1 0 -1 -4 -3 1 0 -1 0 -6 -4 1 0 3 2 3 -8 -5 1 0 1 16 9 8 -10 -6 1 0 7 8 39 20 | +| 74 | PartitionDist:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | PartitionDist:Alt | PolyRow2 | A005843 | 0 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 | +| 76 | PartitionDist:Alt | PolyRow3 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 77 | PartitionDist:Alt | PolyCol2 | missing | 1 -2 -4 0 2 16 8 24 4 -18 -24 -64 -112 -112 -48 -160 42 72 340 352 576 768 1032 808 792 302 72 -272 | +| 78 | PartitionDist:Alt | PolyCol3 | missing | 1 -3 -6 3 9 39 15 39 -30 -126 -138 -276 -351 -267 195 -48 1047 1389 2673 2550 2871 3264 2418 -537 | +| 79 | PartitionDist:Alt | PolyDiag | missing | 1 -1 -4 3 20 115 -24 -161 -1760 -5940 -2840 -748 43848 177593 593040 441840 845488 -1407753 | +| 80 | PartitionDist:Rev | Triangle | missing | 1 1 0 0 2 0 0 1 2 0 0 0 2 3 0 0 0 0 5 2 0 0 0 0 1 6 4 0 0 0 0 0 2 11 2 0 0 0 0 0 0 5 13 4 0 0 0 0 0 | +| 81 | PartitionDist:Rev | Acc | missing | 1 1 1 0 2 2 0 1 3 3 0 0 2 5 5 0 0 0 5 7 7 0 0 0 1 7 11 11 0 0 0 0 2 13 15 15 0 0 0 0 0 5 18 22 22 0 | +| 82 | PartitionDist:Rev | AccRev | missing | 1 0 1 0 2 2 0 2 3 3 0 3 5 5 5 0 2 7 7 7 7 0 4 10 11 11 11 11 0 2 13 15 15 15 15 15 0 4 17 22 22 22 | +| 83 | PartitionDist:Rev | AntiDiag | missing | 1 1 0 0 0 2 0 1 0 0 0 2 0 0 2 0 0 0 0 3 0 0 0 5 0 0 0 0 1 2 0 0 0 0 6 0 0 0 0 0 2 4 0 0 0 0 0 11 0 | +| 84 | PartitionDist:Rev | Diffx1 | missing | 1 1 0 0 4 0 0 2 6 0 0 0 6 12 0 0 0 0 20 10 0 0 0 0 4 30 24 0 0 0 0 0 10 66 14 0 0 0 0 0 0 30 91 32 | +| 85 | PartitionDist:Rev | RowSum | A000041 | 1 1 2 3 5 7 11 15 22 30 42 56 77 101 135 176 231 297 385 490 627 792 1002 1255 1575 1958 2436 3010 | +| 86 | PartitionDist:Rev | EvenSum | missing | 1 1 0 2 2 2 6 4 13 13 23 27 34 54 64 102 107 161 185 257 308 400 518 618 814 956 1272 1450 1912 | +| 87 | PartitionDist:Rev | OddSum | missing | 0 0 2 1 3 5 5 11 9 17 19 29 43 47 71 74 124 136 200 233 319 392 484 637 761 1002 1164 1560 1806 | +| 88 | PartitionDist:Rev | AltSum | A104575 | 1 1 -2 1 -1 -3 1 -7 4 -4 4 -2 -9 7 -7 28 -17 25 -15 24 -11 8 34 -19 53 -46 108 -110 106 -113 122 | +| 89 | PartitionDist:Rev | DiagSum | missing | 1 1 0 2 1 2 2 3 5 3 6 6 11 7 13 14 18 18 24 29 32 39 39 58 57 70 74 103 96 126 132 169 | +| 90 | PartitionDist:Rev | AccSum | A000070 | 1 2 4 7 12 19 30 45 67 97 139 195 272 373 508 684 915 1212 1597 2087 2714 3506 4508 5763 7338 9296 | +| 91 | PartitionDist:Rev | AccRevSum | A365675 | 1 1 4 8 18 30 58 90 153 233 365 533 806 1142 1652 2308 3243 4431 6103 8203 11080 14710 19540 25612 | +| 92 | PartitionDist:Rev | RowLcm | missing | 1 1 2 2 6 10 12 22 260 510 660 1350 32190 9620 14740 64020 25740 45430 1829880 5405940 20372796 | +| 93 | PartitionDist:Rev | RowGcd | missing | 1 1 2 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 | +| 94 | PartitionDist:Rev | RowMax | missing | 1 1 2 2 3 5 6 11 13 17 22 27 37 52 67 97 117 154 184 235 277 338 414 535 692 873 1100 1369 1661 | +| 95 | PartitionDist:Rev | ColMiddle | missing | 1 1 2 1 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 96 | PartitionDist:Rev | CentralE | B010054 | 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 | +| 97 | PartitionDist:Rev | CentralO | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 98 | PartitionDist:Rev | ColLeft | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 99 | PartitionDist:Rev | BinConv | missing | 1 1 4 9 24 60 134 315 676 1479 3040 6292 12601 24934 48468 92768 175576 326978 604356 1100366 | +| 100 | PartitionDist:Rev | InvBinConv | missing | 1 -1 -4 -3 0 40 46 147 52 -255 -640 -2002 -3823 -4862 -420 -1628 26904 55590 132492 179740 241161 | +| 101 | PartitionDist:Rev | TransNat0 | A194552 | 0 0 2 5 13 23 47 75 131 203 323 477 729 1041 1517 2132 3012 4134 5718 7713 10453 13918 18538 24357 | +| 102 | PartitionDist:Rev | TransNat1 | A365675 | 1 1 4 8 18 30 58 90 153 233 365 533 806 1142 1652 2308 3243 4431 6103 8203 11080 14710 19540 25612 | +| 103 | PartitionDist:Rev | TransSqrs | missing | 0 0 2 9 35 77 205 379 789 1385 2503 4085 6943 10775 17119 25918 39408 57704 85164 121697 174675 | +| 104 | PartitionDist:Rev | PosHalf | A004402 | 1 2 4 8 14 24 40 64 100 154 232 344 504 728 1040 1472 2062 2864 3948 5400 7336 9904 13288 17728 | +| 105 | PartitionDist:Rev | NegHalf | missing | 1 -2 -4 0 2 16 8 24 4 -18 -24 -64 -112 -112 -48 -160 42 72 340 352 576 768 1032 808 792 302 72 -272 | +| 106 | PartitionDist:Rev | DiagRow1 | A000005 | 1 2 2 3 2 4 2 4 3 4 2 6 2 4 4 5 2 6 2 6 4 4 2 8 3 4 4 6 2 8 2 6 | +| 107 | PartitionDist:Rev | DiagRow2 | A045845 | 0 1 2 5 6 11 13 17 22 27 29 37 44 44 55 59 68 71 81 82 102 97 112 109 136 126 149 141 168 157 188 | +| 108 | PartitionDist:Rev | DiagRow3 | B002134 | 0 0 0 1 2 5 10 15 25 37 52 67 97 117 154 184 235 277 338 385 469 531 630 698 810 910 1038 1144 1295 | +| 109 | PartitionDist:Rev | DiagCol1 | A033322 | 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 110 | PartitionDist:Rev | DiagCol2 | B000007 | 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 111 | PartitionDist:Rev | DiagCol3 | B000007 | 0 3 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 112 | PartitionDist:Rev | Poly | missing | 1 1 1 0 1 1 0 2 1 1 0 3 4 1 1 0 5 10 6 1 1 0 7 32 21 8 1 1 0 11 72 99 36 10 1 1 0 15 232 297 224 55 | +| 113 | PartitionDist:Rev | PolyRow2 | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 | +| 114 | PartitionDist:Rev | PolyRow3 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | +| 115 | PartitionDist:Rev | PolyCol2 | missing | 1 1 4 10 32 72 232 512 1504 3584 9664 22528 62208 142336 370688 885760 2240512 5238784 13271040 | +| 116 | PartitionDist:Rev | PolyCol3 | missing | 1 1 6 21 99 297 1485 4293 19440 64152 256608 817938 3536379 10884699 42810525 146205324 549332847 | +| 117 | PartitionDist:Rev | PolyDiag | missing | 1 1 4 21 224 1875 39096 424977 11960320 215765046 6351000000 120937383226 6446715568128 | \ No newline at end of file diff --git a/data/md/PartitionMax.md b/data/md/PartitionMax.md index 0c25dd8..4781f65 100644 --- a/data/md/PartitionMax.md +++ b/data/md/PartitionMax.md @@ -1,78 +1,117 @@ -| | triangle | trait | anum | seq | -|---:|:-----------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | PartitionMax:Std | Triangle | A108456 | 1 0 1 0 1 2 0 1 2 3 0 1 3 4 5 0 1 3 5 6 7 0 1 4 7 9 10 11 0 1 4 8 11 13 14 15 0 1 5 10 15 18 20 21 | -| 1 | PartitionMax:Std | Rev | missing | 1 1 0 2 1 0 3 2 1 0 5 4 3 1 0 7 6 5 3 1 0 11 10 9 7 4 1 0 15 14 13 11 8 4 1 0 22 21 20 18 15 10 5 1 | -| 2 | PartitionMax:Std | Acc | missing | 1 0 1 0 1 3 0 1 3 6 0 1 4 8 13 0 1 4 9 15 22 0 1 5 12 21 31 42 0 1 5 13 24 37 51 66 0 1 6 16 31 49 | -| 3 | PartitionMax:Std | AccRev | missing | 1 1 1 2 3 3 3 5 6 6 5 9 12 13 13 7 13 18 21 22 22 11 21 30 37 41 42 42 15 29 42 53 61 65 66 66 22 | -| 4 | PartitionMax:Std | AntiDiag | missing | 1 0 0 1 0 1 0 1 2 0 1 2 0 1 3 3 0 1 3 4 0 1 4 5 5 0 1 4 7 6 0 1 5 8 9 7 0 1 5 10 11 10 0 1 6 12 15 | -| 5 | PartitionMax:Std | Diffx1 | missing | 1 0 2 0 2 6 0 2 6 12 0 2 9 16 25 0 2 9 20 30 42 0 2 12 28 45 60 77 0 2 12 32 55 78 98 120 0 2 15 40 | -| 6 | PartitionMax:Std | RowSum | A058397 | 1 1 3 6 13 22 42 66 112 172 270 397 602 858 1245 1748 2464 3381 4671 6302 8537 11372 15147 19914 | -| 7 | PartitionMax:Std | EvenSum | missing | 1 0 2 2 8 9 24 29 62 78 146 184 321 403 657 829 1291 1615 2433 3027 4427 5486 7826 9641 13497 16536 | -| 8 | PartitionMax:Std | OddSum | missing | 0 1 1 4 5 13 18 37 50 94 124 213 281 455 588 919 1173 1766 2238 3275 4110 5886 7321 10273 12704 | -| 9 | PartitionMax:Std | AltSum | A046682 | 1 -1 1 -2 3 -4 6 -8 12 -16 22 -29 40 -52 69 -90 118 -151 195 -248 317 -400 505 -632 793 -985 1224 | -| 10 | PartitionMax:Std | DiagSum | A110618 | 1 0 1 1 3 3 7 8 15 18 30 37 58 71 105 131 186 230 318 393 530 653 863 1060 1380 1686 2164 2637 3345 | -| 11 | PartitionMax:Std | AccSum | missing | 1 1 4 10 26 51 112 197 374 632 1088 1735 2853 4363 6789 10161 15237 22134 32341 45951 65489 91492 | -| 12 | PartitionMax:Std | AccRevSum | missing | 1 2 8 20 52 103 224 397 746 1260 2152 3426 5575 8507 13131 19555 29115 42105 61079 86391 122325 | -| 13 | PartitionMax:Std | RowLcm | missing | 1 1 2 6 60 210 13860 120120 13860 10925460 15050280 559999440 9651094553100 2041988848062263100 | -| 14 | PartitionMax:Std | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 15 | PartitionMax:Std | RowMax | A000041 | 1 1 2 3 5 7 11 15 22 30 42 56 77 101 135 176 231 297 385 490 627 792 1002 1255 1575 1958 2436 3010 | -| 16 | PartitionMax:Std | ColMiddle | A110618 | 1 0 1 1 3 3 7 8 15 18 30 37 58 71 105 131 186 230 318 393 530 653 863 1060 1380 1686 2164 2637 3345 | -| 17 | PartitionMax:Std | CentralE | A209816 | 1 1 3 7 15 30 58 105 186 318 530 863 1380 2164 3345 5096 | -| 18 | PartitionMax:Std | CentralO | missing | 0 1 3 8 18 37 71 131 230 393 653 1060 1686 2637 4057 6158 | -| 19 | PartitionMax:Std | ColRight | A000041 | 1 1 2 3 5 7 11 15 22 30 42 56 77 101 135 176 231 297 385 490 627 792 1002 1255 1575 1958 2436 3010 | -| 20 | PartitionMax:Std | BinConv | missing | 1 1 4 12 43 122 412 1142 3516 9846 28512 77694 220429 588975 1611815 4280440 11454531 29906782 | -| 21 | PartitionMax:Std | InvBinConv | missing | 1 1 0 0 3 2 0 8 28 60 72 188 693 1271 1703 4466 12579 23502 39916 96212 247779 505676 912837 | -| 22 | PartitionMax:Std | TransNat0 | missing | 0 1 5 14 39 81 182 331 634 1088 1882 3029 4973 7649 11886 17807 26651 38724 56408 80089 113788 | -| 23 | PartitionMax:Std | TransNat1 | missing | 1 2 8 20 52 103 224 397 746 1260 2152 3426 5575 8507 13131 19555 29115 42105 61079 86391 122325 | -| 24 | PartitionMax:Std | TransSqrs | missing | 0 1 9 36 129 329 870 1829 3958 7586 14472 25489 45369 75299 125432 200603 319061 491110 755022 | -| 25 | PartitionMax:Std | PosHalf | missing | 1 1 4 11 33 79 219 503 1296 3016 7420 17006 41689 94657 225951 518262 1219135 2770429 6490533 | -| 26 | PartitionMax:Std | NegHalf | missing | 1 1 0 3 1 7 3 15 28 52 120 82 473 225 2199 2042 10423 5325 29589 23480 149819 194930 575928 660663 | -| 27 | PartitionMax:Std | DiagRow1 | B000065 | 0 1 2 4 6 10 14 21 29 41 55 76 100 134 175 230 296 384 489 626 791 1001 1254 1574 1957 2435 3009 | -| 28 | PartitionMax:Std | DiagRow2 | A007042 | 0 1 3 5 9 13 20 28 40 54 75 99 133 174 229 295 383 488 625 790 1000 1253 1573 1956 2434 3008 3716 | -| 29 | PartitionMax:Std | DiagRow3 | A335323 | 0 1 3 7 11 18 26 38 52 73 97 131 172 227 293 381 486 623 788 998 1251 1571 1954 2432 3006 3714 4561 | -| 30 | PartitionMax:Std | DiagCol2 | B004526 | 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 | -| 31 | PartitionMax:Std | DiagCol3 | B001399 | 3 4 5 7 8 10 12 14 16 19 21 24 27 30 33 37 40 44 48 52 56 61 65 70 75 80 85 91 96 102 108 114 | -| 32 | PartitionMax:Std | Poly | missing | 1 0 1 0 1 1 0 3 2 1 0 6 10 3 1 0 13 34 21 4 1 0 22 126 102 36 5 1 0 42 374 543 228 55 6 1 0 66 1242 | -| 33 | PartitionMax:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 34 | PartitionMax:Std | PolyRow2 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | -| 35 | PartitionMax:Std | PolyRow3 | A067389 | 0 6 34 102 228 430 726 1134 1672 2358 3210 4246 5484 6942 8638 10590 12816 15334 18162 21318 24820 | -| 36 | PartitionMax:Std | PolyCol2 | missing | 1 2 10 34 126 374 1242 3490 10518 29174 82810 222826 617398 1627670 4368786 11423706 30054838 | -| 37 | PartitionMax:Std | PolyCol3 | missing | 1 3 21 102 543 2352 11406 47316 210756 868368 3667710 14722887 60908124 240118896 964285149 | -| 38 | PartitionMax:Std | PolyDiag | missing | 1 1 10 102 1588 26330 604302 14248080 419038536 13020195564 465418244610 17543526940687 | -| 39 | PartitionMax:Rev | Triangle | missing | 1 1 0 2 1 0 3 2 1 0 5 4 3 1 0 7 6 5 3 1 0 11 10 9 7 4 1 0 15 14 13 11 8 4 1 0 22 21 20 18 15 10 5 1 | -| 40 | PartitionMax:Rev | Acc | missing | 1 1 1 2 3 3 3 5 6 6 5 9 12 13 13 7 13 18 21 22 22 11 21 30 37 41 42 42 15 29 42 53 61 65 66 66 22 | -| 41 | PartitionMax:Rev | AccRev | missing | 1 0 1 0 1 3 0 1 3 6 0 1 4 8 13 0 1 4 9 15 22 0 1 5 12 21 31 42 0 1 5 13 24 37 51 66 0 1 6 16 31 49 | -| 42 | PartitionMax:Rev | AntiDiag | missing | 1 1 2 0 3 1 5 2 0 7 4 1 11 6 3 0 15 10 5 1 22 14 9 3 0 30 21 13 7 1 42 29 20 11 4 0 56 41 28 18 8 1 | -| 43 | PartitionMax:Rev | Diffx1 | missing | 1 1 0 2 2 0 3 4 3 0 5 8 9 4 0 7 12 15 12 5 0 11 20 27 28 20 6 0 15 28 39 44 40 24 7 0 22 42 60 72 | -| 44 | PartitionMax:Rev | RowSum | A058397 | 1 1 3 6 13 22 42 66 112 172 270 397 602 858 1245 1748 2464 3381 4671 6302 8537 11372 15147 19914 | -| 45 | PartitionMax:Rev | EvenSum | missing | 1 1 2 4 8 13 24 37 62 94 146 213 321 455 657 919 1291 1766 2433 3275 4427 5886 7826 10273 13497 | -| 46 | PartitionMax:Rev | OddSum | missing | 0 0 1 2 5 9 18 29 50 78 124 184 281 403 588 829 1173 1615 2238 3027 4110 5486 7321 9641 12704 16536 | -| 47 | PartitionMax:Rev | AltSum | A046682 | 1 1 1 2 3 4 6 8 12 16 22 29 40 52 69 90 118 151 195 248 317 400 505 632 793 985 1224 1512 1867 2291 | -| 48 | PartitionMax:Rev | DiagSum | missing | 1 1 2 4 7 12 20 31 48 72 106 152 217 303 420 574 778 1043 1390 1834 2407 3135 4061 5227 6698 8534 | -| 49 | PartitionMax:Rev | AccSum | missing | 1 2 8 20 52 103 224 397 746 1260 2152 3426 5575 8507 13131 19555 29115 42105 61079 86391 122325 | -| 50 | PartitionMax:Rev | AccRevSum | missing | 1 1 4 10 26 51 112 197 374 632 1088 1735 2853 4363 6789 10161 15237 22134 32341 45951 65489 91492 | -| 51 | PartitionMax:Rev | RowLcm | missing | 1 1 2 6 60 210 13860 120120 13860 10925460 15050280 559999440 9651094553100 2041988848062263100 | -| 52 | PartitionMax:Rev | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 53 | PartitionMax:Rev | RowMax | A000041 | 1 1 2 3 5 7 11 15 22 30 42 56 77 101 135 176 231 297 385 490 627 792 1002 1255 1575 1958 2436 3010 | -| 54 | PartitionMax:Rev | ColMiddle | A336106 | 1 1 1 2 3 5 7 11 15 23 30 44 58 82 105 146 186 252 318 423 530 695 863 1116 1380 1763 2164 2738 | -| 55 | PartitionMax:Rev | CentralE | A209816 | 1 1 3 7 15 30 58 105 186 318 530 863 1380 2164 3345 5096 | -| 56 | PartitionMax:Rev | CentralO | A171985 | 1 2 5 11 23 44 82 146 252 423 695 1116 1763 2738 4192 6334 | -| 57 | PartitionMax:Rev | ColLeft | A000041 | 1 1 2 3 5 7 11 15 22 30 42 56 77 101 135 176 231 297 385 490 627 792 1002 1255 1575 1958 2436 3010 | -| 58 | PartitionMax:Rev | BinConv | missing | 1 1 4 12 43 122 412 1142 3516 9846 28512 77694 220429 588975 1611815 4280440 11454531 29906782 | -| 59 | PartitionMax:Rev | InvBinConv | missing | 1 -1 0 0 3 -2 0 -8 28 -60 72 -188 693 -1271 1703 -4466 12579 -23502 39916 -96212 247779 -505676 | -| 60 | PartitionMax:Rev | TransNat0 | missing | 0 0 1 4 13 29 70 131 262 460 818 1338 2251 3505 5544 8413 12773 18753 27670 39649 56952 80120 | -| 61 | PartitionMax:Rev | TransNat1 | missing | 1 1 4 10 26 51 112 197 374 632 1088 1735 2853 4363 6789 10161 15237 22134 32341 45951 65489 91492 | -| 62 | PartitionMax:Rev | TransSqrs | missing | 0 0 1 6 25 69 198 429 982 1934 3832 6888 12705 21427 36644 59693 97013 151603 237738 360287 546598 | -| 63 | PartitionMax:Rev | PosHalf | missing | 1 2 10 34 126 374 1242 3490 10518 29174 82810 222826 617398 1627670 4368786 11423706 30054838 | -| 64 | PartitionMax:Rev | NegHalf | missing | 1 -2 6 -18 58 -158 486 -1314 3826 -10382 28950 -77018 211394 -553854 1479054 -3853786 10110610 | -| 65 | PartitionMax:Rev | DiagRow2 | B004526 | 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 | -| 66 | PartitionMax:Rev | DiagRow3 | B001399 | 3 4 5 7 8 10 12 14 16 19 21 24 27 30 33 37 40 44 48 52 56 61 65 70 75 80 85 91 96 102 108 114 | -| 67 | PartitionMax:Rev | DiagCol1 | B000065 | 0 1 2 4 6 10 14 21 29 41 55 76 100 134 175 230 296 384 489 626 791 1001 1254 1574 1957 2435 3009 | -| 68 | PartitionMax:Rev | DiagCol2 | A007042 | 0 1 3 5 9 13 20 28 40 54 75 99 133 174 229 295 383 488 625 790 1000 1253 1573 1956 2434 3008 3716 | -| 69 | PartitionMax:Rev | DiagCol3 | A335323 | 0 1 3 7 11 18 26 38 52 73 97 131 172 227 293 381 486 623 788 998 1251 1571 1954 2432 3006 3714 4561 | -| 70 | PartitionMax:Rev | Poly | missing | 1 1 1 2 1 1 3 3 1 1 5 6 4 1 1 7 13 11 5 1 1 11 22 33 18 6 1 1 15 42 79 71 27 7 1 1 22 66 219 232 | -| 71 | PartitionMax:Rev | PolyRow2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | -| 72 | PartitionMax:Rev | PolyRow3 | A183199 | 3 6 11 18 27 38 51 66 83 102 123 146 171 198 227 258 291 326 363 402 443 486 531 578 627 678 731 | -| 73 | PartitionMax:Rev | PolyCol2 | missing | 1 1 4 11 33 79 219 503 1296 3016 7420 17006 41689 94657 225951 518262 1219135 2770429 6490533 | -| 74 | PartitionMax:Rev | PolyCol3 | missing | 1 1 5 18 71 232 878 2820 10228 33552 118110 384917 1357028 4401320 15200709 49931342 170283018 | -| 75 | PartitionMax:Rev | PolyDiag | missing | 1 1 4 18 133 1162 14867 208608 3807678 74574156 1766392452 44114434277 1290960170189 39203195240310 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:-----------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | PartitionMax:Std | Triangle | A108456 | 1 0 1 0 1 2 0 1 2 3 0 1 3 4 5 0 1 3 5 6 7 0 1 4 7 9 10 11 0 1 4 8 11 13 14 15 0 1 5 10 15 18 20 21 | +| 1 | PartitionMax:Std | Rev | missing | 1 1 0 2 1 0 3 2 1 0 5 4 3 1 0 7 6 5 3 1 0 11 10 9 7 4 1 0 15 14 13 11 8 4 1 0 22 21 20 18 15 10 5 1 | +| 2 | PartitionMax:Std | Acc | missing | 1 0 1 0 1 3 0 1 3 6 0 1 4 8 13 0 1 4 9 15 22 0 1 5 12 21 31 42 0 1 5 13 24 37 51 66 0 1 6 16 31 49 | +| 3 | PartitionMax:Std | AccRev | missing | 1 1 1 2 3 3 3 5 6 6 5 9 12 13 13 7 13 18 21 22 22 11 21 30 37 41 42 42 15 29 42 53 61 65 66 66 22 | +| 4 | PartitionMax:Std | AntiDiag | missing | 1 0 0 1 0 1 0 1 2 0 1 2 0 1 3 3 0 1 3 4 0 1 4 5 5 0 1 4 7 6 0 1 5 8 9 7 0 1 5 10 11 10 0 1 6 12 15 | +| 5 | PartitionMax:Std | Diffx1 | missing | 1 0 2 0 2 6 0 2 6 12 0 2 9 16 25 0 2 9 20 30 42 0 2 12 28 45 60 77 0 2 12 32 55 78 98 120 0 2 15 40 | +| 6 | PartitionMax:Std | RowSum | A058397 | 1 1 3 6 13 22 42 66 112 172 270 397 602 858 1245 1748 2464 3381 4671 6302 8537 11372 15147 19914 | +| 7 | PartitionMax:Std | EvenSum | missing | 1 0 2 2 8 9 24 29 62 78 146 184 321 403 657 829 1291 1615 2433 3027 4427 5486 7826 9641 13497 16536 | +| 8 | PartitionMax:Std | OddSum | missing | 0 1 1 4 5 13 18 37 50 94 124 213 281 455 588 919 1173 1766 2238 3275 4110 5886 7321 10273 12704 | +| 9 | PartitionMax:Std | AltSum | A046682 | 1 -1 1 -2 3 -4 6 -8 12 -16 22 -29 40 -52 69 -90 118 -151 195 -248 317 -400 505 -632 793 -985 1224 | +| 10 | PartitionMax:Std | DiagSum | A110618 | 1 0 1 1 3 3 7 8 15 18 30 37 58 71 105 131 186 230 318 393 530 653 863 1060 1380 1686 2164 2637 3345 | +| 11 | PartitionMax:Std | AccSum | missing | 1 1 4 10 26 51 112 197 374 632 1088 1735 2853 4363 6789 10161 15237 22134 32341 45951 65489 91492 | +| 12 | PartitionMax:Std | AccRevSum | missing | 1 2 8 20 52 103 224 397 746 1260 2152 3426 5575 8507 13131 19555 29115 42105 61079 86391 122325 | +| 13 | PartitionMax:Std | RowLcm | missing | 1 1 2 6 60 210 13860 120120 13860 10925460 15050280 559999440 9651094553100 2041988848062263100 | +| 14 | PartitionMax:Std | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 15 | PartitionMax:Std | RowMax | A000041 | 1 1 2 3 5 7 11 15 22 30 42 56 77 101 135 176 231 297 385 490 627 792 1002 1255 1575 1958 2436 3010 | +| 16 | PartitionMax:Std | ColMiddle | A110618 | 1 0 1 1 3 3 7 8 15 18 30 37 58 71 105 131 186 230 318 393 530 653 863 1060 1380 1686 2164 2637 3345 | +| 17 | PartitionMax:Std | CentralE | A209816 | 1 1 3 7 15 30 58 105 186 318 530 863 1380 2164 3345 5096 | +| 18 | PartitionMax:Std | CentralO | missing | 0 1 3 8 18 37 71 131 230 393 653 1060 1686 2637 4057 6158 | +| 19 | PartitionMax:Std | ColRight | A000041 | 1 1 2 3 5 7 11 15 22 30 42 56 77 101 135 176 231 297 385 490 627 792 1002 1255 1575 1958 2436 3010 | +| 20 | PartitionMax:Std | BinConv | missing | 1 1 4 12 43 122 412 1142 3516 9846 28512 77694 220429 588975 1611815 4280440 11454531 29906782 | +| 21 | PartitionMax:Std | InvBinConv | missing | 1 1 0 0 3 2 0 8 28 60 72 188 693 1271 1703 4466 12579 23502 39916 96212 247779 505676 912837 | +| 22 | PartitionMax:Std | TransNat0 | missing | 0 1 5 14 39 81 182 331 634 1088 1882 3029 4973 7649 11886 17807 26651 38724 56408 80089 113788 | +| 23 | PartitionMax:Std | TransNat1 | missing | 1 2 8 20 52 103 224 397 746 1260 2152 3426 5575 8507 13131 19555 29115 42105 61079 86391 122325 | +| 24 | PartitionMax:Std | TransSqrs | missing | 0 1 9 36 129 329 870 1829 3958 7586 14472 25489 45369 75299 125432 200603 319061 491110 755022 | +| 25 | PartitionMax:Std | PosHalf | missing | 1 1 4 11 33 79 219 503 1296 3016 7420 17006 41689 94657 225951 518262 1219135 2770429 6490533 | +| 26 | PartitionMax:Std | NegHalf | missing | 1 1 0 3 1 7 3 15 28 52 120 82 473 225 2199 2042 10423 5325 29589 23480 149819 194930 575928 660663 | +| 27 | PartitionMax:Std | DiagRow1 | B000065 | 0 1 2 4 6 10 14 21 29 41 55 76 100 134 175 230 296 384 489 626 791 1001 1254 1574 1957 2435 3009 | +| 28 | PartitionMax:Std | DiagRow2 | A007042 | 0 1 3 5 9 13 20 28 40 54 75 99 133 174 229 295 383 488 625 790 1000 1253 1573 1956 2434 3008 3716 | +| 29 | PartitionMax:Std | DiagRow3 | A335323 | 0 1 3 7 11 18 26 38 52 73 97 131 172 227 293 381 486 623 788 998 1251 1571 1954 2432 3006 3714 4561 | +| 30 | PartitionMax:Std | DiagCol2 | B004526 | 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 | +| 31 | PartitionMax:Std | DiagCol3 | B001399 | 3 4 5 7 8 10 12 14 16 19 21 24 27 30 33 37 40 44 48 52 56 61 65 70 75 80 85 91 96 102 108 114 | +| 32 | PartitionMax:Std | Poly | missing | 1 0 1 0 1 1 0 3 2 1 0 6 10 3 1 0 13 34 21 4 1 0 22 126 102 36 5 1 0 42 374 543 228 55 6 1 0 66 1242 | +| 33 | PartitionMax:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 34 | PartitionMax:Std | PolyRow2 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | +| 35 | PartitionMax:Std | PolyRow3 | A067389 | 0 6 34 102 228 430 726 1134 1672 2358 3210 4246 5484 6942 8638 10590 12816 15334 18162 21318 24820 | +| 36 | PartitionMax:Std | PolyCol2 | missing | 1 2 10 34 126 374 1242 3490 10518 29174 82810 222826 617398 1627670 4368786 11423706 30054838 | +| 37 | PartitionMax:Std | PolyCol3 | missing | 1 3 21 102 543 2352 11406 47316 210756 868368 3667710 14722887 60908124 240118896 964285149 | +| 38 | PartitionMax:Std | PolyDiag | missing | 1 1 10 102 1588 26330 604302 14248080 419038536 13020195564 465418244610 17543526940687 | +| 39 | PartitionMax:Alt | Triangle | A108456 | 1 0 -1 0 -1 2 0 -1 2 -3 0 -1 3 -4 5 0 -1 3 -5 6 -7 0 -1 4 -7 9 -10 11 0 -1 4 -8 11 -13 14 -15 0 -1 | +| 40 | PartitionMax:Alt | Rev | missing | 1 -1 0 2 -1 0 -3 2 -1 0 5 -4 3 -1 0 -7 6 -5 3 -1 0 11 -10 9 -7 4 -1 0 -15 14 -13 11 -8 4 -1 0 22 | +| 41 | PartitionMax:Alt | Acc | missing | 1 0 -1 0 -1 1 0 -1 1 -2 0 -1 2 -2 3 0 -1 2 -3 3 -4 0 -1 3 -4 5 -5 6 0 -1 3 -5 6 -7 7 -8 0 -1 4 -6 9 | +| 42 | PartitionMax:Alt | AccRev | missing | 1 -1 -1 2 1 1 -3 -1 -2 -2 5 1 4 3 3 -7 -1 -6 -3 -4 -4 11 1 10 3 7 6 6 -15 -1 -14 -3 -11 -7 -8 -8 22 | +| 43 | PartitionMax:Alt | AntiDiag | missing | 1 0 0 -1 0 -1 0 -1 2 0 -1 2 0 -1 3 -3 0 -1 3 -4 0 -1 4 -5 5 0 -1 4 -7 6 0 -1 5 -8 9 -7 0 -1 5 -10 | +| 44 | PartitionMax:Alt | Diffx1 | missing | 1 0 -2 0 -2 6 0 -2 6 -12 0 -2 9 -16 25 0 -2 9 -20 30 -42 0 -2 12 -28 45 -60 77 0 -2 12 -32 55 -78 | +| 45 | PartitionMax:Alt | RowSum | A046682 | 1 -1 1 -2 3 -4 6 -8 12 -16 22 -29 40 -52 69 -90 118 -151 195 -248 317 -400 505 -632 793 -985 1224 | +| 46 | PartitionMax:Alt | EvenSum | missing | 1 0 2 2 8 9 24 29 62 78 146 184 321 403 657 829 1291 1615 2433 3027 4427 5486 7826 9641 13497 16536 | +| 47 | PartitionMax:Alt | OddSum | missing | 0 -1 -1 -4 -5 -13 -18 -37 -50 -94 -124 -213 -281 -455 -588 -919 -1173 -1766 -2238 -3275 -4110 -5886 | +| 48 | PartitionMax:Alt | AltSum | A058397 | 1 1 3 6 13 22 42 66 112 172 270 397 602 858 1245 1748 2464 3381 4671 6302 8537 11372 15147 19914 | +| 49 | PartitionMax:Alt | DiagSum | missing | 1 0 -1 -1 1 1 -1 -2 3 2 -2 -5 6 5 -5 -11 12 10 -10 -21 22 19 -19 -38 40 36 -36 -67 69 65 -64 -114 | +| 50 | PartitionMax:Alt | AccSum | missing | 1 -1 0 -2 2 -3 4 -5 10 -12 16 -19 29 -35 45 -61 81 -98 121 -155 197 -248 302 -375 473 -581 703 -869 | +| 51 | PartitionMax:Alt | AccRevSum | missing | 1 -2 4 -8 16 -25 44 -67 110 -164 248 -358 531 -745 1059 -1469 2043 -2771 3779 -5053 6777 -8952 | +| 52 | PartitionMax:Alt | RowLcm | missing | 1 1 2 6 60 210 13860 120120 13860 10925460 15050280 559999440 9651094553100 2041988848062263100 | +| 53 | PartitionMax:Alt | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 54 | PartitionMax:Alt | RowMax | A000041 | 1 1 2 3 5 7 11 15 22 30 42 56 77 101 135 176 231 297 385 490 627 792 1002 1255 1575 1958 2436 3010 | +| 55 | PartitionMax:Alt | ColMiddle | A110618 | 1 0 -1 -1 3 3 -7 -8 15 18 -30 -37 58 71 -105 -131 186 230 -318 -393 530 653 -863 -1060 1380 1686 | +| 56 | PartitionMax:Alt | CentralE | A209816 | 1 -1 3 -7 15 -30 58 -105 186 -318 530 -863 1380 -2164 3345 -5096 | +| 57 | PartitionMax:Alt | CentralO | missing | 0 -1 3 -8 18 -37 71 -131 230 -393 653 -1060 1686 -2637 4057 -6158 | +| 58 | PartitionMax:Alt | ColRight | A000041 | 1 -1 2 -3 5 -7 11 -15 22 -30 42 -56 77 -101 135 -176 231 -297 385 -490 627 -792 1002 -1255 1575 | +| 59 | PartitionMax:Alt | BinConv | missing | 1 -1 0 0 3 -2 0 -8 28 -60 72 -188 693 -1271 1703 -4466 12579 -23502 39916 -96212 247779 -505676 | +| 60 | PartitionMax:Alt | InvBinConv | missing | 1 -1 4 -12 43 -122 412 -1142 3516 -9846 28512 -77694 220429 -588975 1611815 -4280440 11454531 | +| 61 | PartitionMax:Alt | TransNat0 | missing | 0 -1 3 -6 13 -21 38 -59 98 -148 226 -329 491 -693 990 -1379 1925 -2620 3584 -4805 6460 -8552 11313 | +| 62 | PartitionMax:Alt | TransNat1 | missing | 1 -2 4 -8 16 -25 44 -67 110 -164 248 -358 531 -745 1059 -1469 2043 -2771 3779 -5053 6777 -8952 | +| 63 | PartitionMax:Alt | TransSqrs | missing | 0 -1 7 -20 55 -113 242 -437 818 -1386 2352 -3753 6087 -9291 14288 -21267 31611 -45670 66098 -93423 | +| 64 | PartitionMax:Alt | PosHalf | missing | 1 -1 0 -3 1 -7 3 -15 28 -52 120 -82 473 -225 2199 -2042 10423 -5325 29589 -23480 149819 -194930 | +| 65 | PartitionMax:Alt | NegHalf | missing | 1 -1 4 -11 33 -79 219 -503 1296 -3016 7420 -17006 41689 -94657 225951 -518262 1219135 -2770429 | +| 66 | PartitionMax:Alt | DiagRow1 | B000065 | 0 -1 2 -4 6 -10 14 -21 29 -41 55 -76 100 -134 175 -230 296 -384 489 -626 791 -1001 1254 -1574 1957 | +| 67 | PartitionMax:Alt | DiagRow2 | A007042 | 0 -1 3 -5 9 -13 20 -28 40 -54 75 -99 133 -174 229 -295 383 -488 625 -790 1000 -1253 1573 -1956 2434 | +| 68 | PartitionMax:Alt | DiagRow3 | A335323 | 0 -1 3 -7 11 -18 26 -38 52 -73 97 -131 172 -227 293 -381 486 -623 788 -998 1251 -1571 1954 -2432 | +| 69 | PartitionMax:Alt | DiagCol2 | B004526 | 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 | +| 70 | PartitionMax:Alt | DiagCol3 | B001399 | -3 -4 -5 -7 -8 -10 -12 -14 -16 -19 -21 -24 -27 -30 -33 -37 -40 -44 -48 -52 -56 -61 -65 -70 -75 -80 | +| 71 | PartitionMax:Alt | Poly | missing | 1 0 1 0 -1 1 0 1 -2 1 0 -2 6 -3 1 0 3 -18 15 -4 1 0 -4 58 -66 28 -5 1 0 6 -158 321 -164 45 -6 1 0 | +| 72 | PartitionMax:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 73 | PartitionMax:Alt | PolyRow2 | A000384 | 0 1 6 15 28 45 66 91 120 153 190 231 276 325 378 435 496 561 630 703 780 861 946 1035 1128 1225 | +| 74 | PartitionMax:Alt | PolyRow3 | missing | 0 -2 -18 -66 -164 -330 -582 -938 -1416 -2034 -2810 -3762 -4908 -6266 -7854 -9690 -11792 -14178 | +| 75 | PartitionMax:Alt | PolyCol2 | missing | 1 -2 6 -18 58 -158 486 -1314 3826 -10382 28950 -77018 211394 -553854 1479054 -3853786 10110610 | +| 76 | PartitionMax:Alt | PolyCol3 | missing | 1 -3 15 -66 321 -1326 6162 -25050 109608 -446916 1872150 -7476519 30799878 -121097370 485257461 | +| 77 | PartitionMax:Alt | PolyDiag | missing | 1 -1 6 -66 1068 -18680 445746 -10900694 329768248 -10495613808 382652216590 -14667960221519 | +| 78 | PartitionMax:Rev | Triangle | missing | 1 1 0 2 1 0 3 2 1 0 5 4 3 1 0 7 6 5 3 1 0 11 10 9 7 4 1 0 15 14 13 11 8 4 1 0 22 21 20 18 15 10 5 1 | +| 79 | PartitionMax:Rev | Acc | missing | 1 1 1 2 3 3 3 5 6 6 5 9 12 13 13 7 13 18 21 22 22 11 21 30 37 41 42 42 15 29 42 53 61 65 66 66 22 | +| 80 | PartitionMax:Rev | AccRev | missing | 1 0 1 0 1 3 0 1 3 6 0 1 4 8 13 0 1 4 9 15 22 0 1 5 12 21 31 42 0 1 5 13 24 37 51 66 0 1 6 16 31 49 | +| 81 | PartitionMax:Rev | AntiDiag | missing | 1 1 2 0 3 1 5 2 0 7 4 1 11 6 3 0 15 10 5 1 22 14 9 3 0 30 21 13 7 1 42 29 20 11 4 0 56 41 28 18 8 1 | +| 82 | PartitionMax:Rev | Diffx1 | missing | 1 1 0 2 2 0 3 4 3 0 5 8 9 4 0 7 12 15 12 5 0 11 20 27 28 20 6 0 15 28 39 44 40 24 7 0 22 42 60 72 | +| 83 | PartitionMax:Rev | RowSum | A058397 | 1 1 3 6 13 22 42 66 112 172 270 397 602 858 1245 1748 2464 3381 4671 6302 8537 11372 15147 19914 | +| 84 | PartitionMax:Rev | EvenSum | missing | 1 1 2 4 8 13 24 37 62 94 146 213 321 455 657 919 1291 1766 2433 3275 4427 5886 7826 10273 13497 | +| 85 | PartitionMax:Rev | OddSum | missing | 0 0 1 2 5 9 18 29 50 78 124 184 281 403 588 829 1173 1615 2238 3027 4110 5486 7321 9641 12704 16536 | +| 86 | PartitionMax:Rev | AltSum | A046682 | 1 1 1 2 3 4 6 8 12 16 22 29 40 52 69 90 118 151 195 248 317 400 505 632 793 985 1224 1512 1867 2291 | +| 87 | PartitionMax:Rev | DiagSum | missing | 1 1 2 4 7 12 20 31 48 72 106 152 217 303 420 574 778 1043 1390 1834 2407 3135 4061 5227 6698 8534 | +| 88 | PartitionMax:Rev | AccSum | missing | 1 2 8 20 52 103 224 397 746 1260 2152 3426 5575 8507 13131 19555 29115 42105 61079 86391 122325 | +| 89 | PartitionMax:Rev | AccRevSum | missing | 1 1 4 10 26 51 112 197 374 632 1088 1735 2853 4363 6789 10161 15237 22134 32341 45951 65489 91492 | +| 90 | PartitionMax:Rev | RowLcm | missing | 1 1 2 6 60 210 13860 120120 13860 10925460 15050280 559999440 9651094553100 2041988848062263100 | +| 91 | PartitionMax:Rev | RowGcd | A329684 | 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 92 | PartitionMax:Rev | RowMax | A000041 | 1 1 2 3 5 7 11 15 22 30 42 56 77 101 135 176 231 297 385 490 627 792 1002 1255 1575 1958 2436 3010 | +| 93 | PartitionMax:Rev | ColMiddle | A336106 | 1 1 1 2 3 5 7 11 15 23 30 44 58 82 105 146 186 252 318 423 530 695 863 1116 1380 1763 2164 2738 | +| 94 | PartitionMax:Rev | CentralE | A209816 | 1 1 3 7 15 30 58 105 186 318 530 863 1380 2164 3345 5096 | +| 95 | PartitionMax:Rev | CentralO | A171985 | 1 2 5 11 23 44 82 146 252 423 695 1116 1763 2738 4192 6334 | +| 96 | PartitionMax:Rev | ColLeft | A000041 | 1 1 2 3 5 7 11 15 22 30 42 56 77 101 135 176 231 297 385 490 627 792 1002 1255 1575 1958 2436 3010 | +| 97 | PartitionMax:Rev | BinConv | missing | 1 1 4 12 43 122 412 1142 3516 9846 28512 77694 220429 588975 1611815 4280440 11454531 29906782 | +| 98 | PartitionMax:Rev | InvBinConv | missing | 1 -1 0 0 3 -2 0 -8 28 -60 72 -188 693 -1271 1703 -4466 12579 -23502 39916 -96212 247779 -505676 | +| 99 | PartitionMax:Rev | TransNat0 | missing | 0 0 1 4 13 29 70 131 262 460 818 1338 2251 3505 5544 8413 12773 18753 27670 39649 56952 80120 | +| 100 | PartitionMax:Rev | TransNat1 | missing | 1 1 4 10 26 51 112 197 374 632 1088 1735 2853 4363 6789 10161 15237 22134 32341 45951 65489 91492 | +| 101 | PartitionMax:Rev | TransSqrs | missing | 0 0 1 6 25 69 198 429 982 1934 3832 6888 12705 21427 36644 59693 97013 151603 237738 360287 546598 | +| 102 | PartitionMax:Rev | PosHalf | missing | 1 2 10 34 126 374 1242 3490 10518 29174 82810 222826 617398 1627670 4368786 11423706 30054838 | +| 103 | PartitionMax:Rev | NegHalf | missing | 1 -2 6 -18 58 -158 486 -1314 3826 -10382 28950 -77018 211394 -553854 1479054 -3853786 10110610 | +| 104 | PartitionMax:Rev | DiagRow2 | B004526 | 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 | +| 105 | PartitionMax:Rev | DiagRow3 | B001399 | 3 4 5 7 8 10 12 14 16 19 21 24 27 30 33 37 40 44 48 52 56 61 65 70 75 80 85 91 96 102 108 114 | +| 106 | PartitionMax:Rev | DiagCol1 | B000065 | 0 1 2 4 6 10 14 21 29 41 55 76 100 134 175 230 296 384 489 626 791 1001 1254 1574 1957 2435 3009 | +| 107 | PartitionMax:Rev | DiagCol2 | A007042 | 0 1 3 5 9 13 20 28 40 54 75 99 133 174 229 295 383 488 625 790 1000 1253 1573 1956 2434 3008 3716 | +| 108 | PartitionMax:Rev | DiagCol3 | A335323 | 0 1 3 7 11 18 26 38 52 73 97 131 172 227 293 381 486 623 788 998 1251 1571 1954 2432 3006 3714 4561 | +| 109 | PartitionMax:Rev | Poly | missing | 1 1 1 2 1 1 3 3 1 1 5 6 4 1 1 7 13 11 5 1 1 11 22 33 18 6 1 1 15 42 79 71 27 7 1 1 22 66 219 232 | +| 110 | PartitionMax:Rev | PolyRow2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | +| 111 | PartitionMax:Rev | PolyRow3 | A183199 | 3 6 11 18 27 38 51 66 83 102 123 146 171 198 227 258 291 326 363 402 443 486 531 578 627 678 731 | +| 112 | PartitionMax:Rev | PolyCol2 | missing | 1 1 4 11 33 79 219 503 1296 3016 7420 17006 41689 94657 225951 518262 1219135 2770429 6490533 | +| 113 | PartitionMax:Rev | PolyCol3 | missing | 1 1 5 18 71 232 878 2820 10228 33552 118110 384917 1357028 4401320 15200709 49931342 170283018 | +| 114 | PartitionMax:Rev | PolyDiag | missing | 1 1 4 18 133 1162 14867 208608 3807678 74574156 1766392452 44114434277 1290960170189 39203195240310 | \ No newline at end of file diff --git a/data/md/Polygonal.md b/data/md/Polygonal.md index ba6b7a0..640de76 100644 --- a/data/md/Polygonal.md +++ b/data/md/Polygonal.md @@ -1,78 +1,117 @@ -| | triangle | trait | anum | seq | -|---:|:--------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | Polygonal:Std | Triangle | A139600 | 0 0 1 0 1 2 0 1 3 3 0 1 4 6 4 0 1 5 9 10 5 0 1 6 12 16 15 6 0 1 7 15 22 25 21 7 0 1 8 18 28 35 36 | -| 1 | Polygonal:Std | Rev | A089000 | 0 1 0 2 1 0 3 3 1 0 4 6 4 1 0 5 10 9 5 1 0 6 15 16 12 6 1 0 7 21 25 22 15 7 1 0 8 28 36 35 28 18 8 | -| 2 | Polygonal:Std | Acc | missing | 0 0 1 0 1 3 0 1 4 7 0 1 5 11 15 0 1 6 15 25 30 0 1 7 19 35 50 56 0 1 8 23 45 70 91 98 0 1 9 27 55 | -| 3 | Polygonal:Std | AccRev | missing | 0 1 1 2 3 3 3 6 7 7 4 10 14 15 15 5 15 24 29 30 30 6 21 37 49 55 56 56 7 28 53 75 90 97 98 98 8 36 | -| 4 | Polygonal:Std | AntiDiag | missing | 0 0 0 1 0 1 0 1 2 0 1 3 0 1 4 3 0 1 5 6 0 1 6 9 4 0 1 7 12 10 0 1 8 15 16 5 0 1 9 18 22 15 0 1 10 | -| 5 | Polygonal:Std | Diffx1 | missing | 0 0 2 0 2 6 0 2 9 12 0 2 12 24 20 0 2 15 36 50 30 0 2 18 48 80 90 42 0 2 21 60 110 150 147 56 0 2 | -| 6 | Polygonal:Std | RowSum | A055795 | 0 1 3 7 15 30 56 98 162 255 385 561 793 1092 1470 1940 2516 3213 4047 5035 6195 7546 9108 10902 | -| 7 | Polygonal:Std | EvenSum | missing | 0 0 2 3 8 15 28 50 80 130 190 285 392 553 728 980 1248 1620 2010 2535 3080 3795 4532 5478 6448 7670 | -| 8 | Polygonal:Std | OddSum | missing | 0 1 1 4 7 15 28 48 82 125 195 276 401 539 742 960 1268 1593 2037 2500 3115 3751 4576 5424 6502 7605 | -| 9 | Polygonal:Std | AltSum | missing | 0 -1 1 -1 1 0 0 2 -2 5 -5 9 -9 14 -14 20 -20 27 -27 35 -35 44 -44 54 -54 65 -65 77 -77 90 -90 104 | -| 10 | Polygonal:Std | DiagSum | missing | 0 0 1 1 3 4 8 12 20 30 45 65 91 126 168 224 288 372 465 585 715 880 1056 1276 1508 1794 2093 2457 | -| 11 | Polygonal:Std | AccSum | missing | 0 1 4 12 32 77 168 336 624 1089 1804 2860 4368 6461 9296 13056 17952 24225 32148 42028 54208 69069 | -| 12 | Polygonal:Std | AccRevSum | missing | 0 2 8 23 58 133 280 546 996 1716 2816 4433 6734 9919 14224 19924 27336 36822 48792 63707 82082 | -| 13 | Polygonal:Std | RowLcm | missing | 1 1 2 3 12 90 240 11550 2520 149940 221760 37297260 7207200 686912646420 164324160 9357648300 | -| 14 | Polygonal:Std | RowGcd | B114890 | 1 1 2 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 15 | Polygonal:Std | RowMax | missing | 0 1 2 3 6 10 16 25 36 51 70 92 120 153 190 235 286 342 408 481 560 651 750 856 976 1105 1242 1395 | -| 16 | Polygonal:Std | ColMiddle | missing | 0 0 1 1 4 5 12 15 28 34 55 65 96 111 154 175 232 260 333 369 460 505 616 671 804 870 1027 1105 1288 | -| 17 | Polygonal:Std | CentralE | A006000 | 0 1 4 12 28 55 96 154 232 333 460 616 804 1027 1288 1590 | -| 18 | Polygonal:Std | CentralO | A006003 | 0 1 5 15 34 65 111 175 260 369 505 671 870 1105 1379 1695 | -| 19 | Polygonal:Std | ColRight | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 20 | Polygonal:Std | BinConv | missing | 0 1 4 15 56 200 672 2128 6400 18432 51200 137984 362496 931840 2351104 5836800 14286848 34537472 | -| 21 | Polygonal:Std | InvBinConv | B080300 | 0 1 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 22 | Polygonal:Std | TransNat0 | missing | 0 1 5 16 43 103 224 448 834 1461 2431 3872 5941 8827 12754 17984 24820 33609 44745 58672 75887 | -| 23 | Polygonal:Std | TransNat1 | missing | 0 2 8 23 58 133 280 546 996 1716 2816 4433 6734 9919 14224 19924 27336 36822 48792 63707 82082 | -| 24 | Polygonal:Std | TransSqrs | missing | 0 1 9 40 135 387 980 2240 4698 9165 16819 29304 48841 78351 121590 183296 269348 386937 544749 | -| 25 | Polygonal:Std | PosHalf | A360606 | 0 1 4 13 40 117 324 853 2152 5245 12436 28845 65736 147685 327940 721189 1573192 3408237 7340436 | -| 26 | Polygonal:Std | NegHalf | A360605 | 0 1 0 1 0 -3 8 -31 72 -195 448 -1071 2416 -5475 12120 -26719 58232 -126243 271824 -582575 1242720 | -| 27 | Polygonal:Std | DiagRow1 | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | -| 28 | Polygonal:Std | DiagRow2 | A000290 | 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 | -| 29 | Polygonal:Std | DiagRow3 | A000326 | 0 1 5 12 22 35 51 70 92 117 145 176 210 247 287 330 376 425 477 532 590 651 715 782 852 925 1001 | -| 30 | Polygonal:Std | DiagCol2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | -| 31 | Polygonal:Std | DiagCol3 | A031193 | 3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 48 51 54 57 60 63 66 69 72 75 78 81 84 87 90 93 96 | -| 32 | Polygonal:Std | Poly | missing | 0 0 0 0 1 0 0 3 2 0 0 7 10 3 0 0 15 38 21 4 0 0 30 130 111 36 5 0 0 56 414 525 244 55 6 0 0 98 1242 | -| 33 | Polygonal:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 34 | Polygonal:Std | PolyRow2 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | -| 35 | Polygonal:Std | PolyRow3 | A249354 | 0 7 38 111 244 455 762 1183 1736 2439 3310 4367 5628 7111 8834 10815 13072 15623 18486 21679 25220 | -| 36 | Polygonal:Std | PolyCol2 | missing | 0 2 10 38 130 414 1242 3542 9682 25550 65482 163782 401346 966590 2293690 5373878 12451762 28573614 | -| 37 | Polygonal:Std | PolyCol3 | missing | 0 3 21 111 525 2316 9696 38946 151302 572025 2114679 7672665 27402411 96556170 336302490 1159571028 | -| 38 | Polygonal:Std | PolyDiag | missing | 0 1 10 111 1476 23130 420126 8713922 203646472 5300831655 152171925010 4777629517881 | -| 39 | Polygonal:Rev | Triangle | A089000 | 0 1 0 2 1 0 3 3 1 0 4 6 4 1 0 5 10 9 5 1 0 6 15 16 12 6 1 0 7 21 25 22 15 7 1 0 8 28 36 35 28 18 8 | -| 40 | Polygonal:Rev | Acc | missing | 0 1 1 2 3 3 3 6 7 7 4 10 14 15 15 5 15 24 29 30 30 6 21 37 49 55 56 56 7 28 53 75 90 97 98 98 8 36 | -| 41 | Polygonal:Rev | AccRev | missing | 0 0 1 0 1 3 0 1 4 7 0 1 5 11 15 0 1 6 15 25 30 0 1 7 19 35 50 56 0 1 8 23 45 70 91 98 0 1 9 27 55 | -| 42 | Polygonal:Rev | AntiDiag | A175990 | 0 1 2 0 3 1 4 3 0 5 6 1 6 10 4 0 7 15 9 1 8 21 16 5 0 9 28 25 12 1 10 36 36 22 6 0 11 45 49 35 15 1 | -| 43 | Polygonal:Rev | Diffx1 | A216973 | 0 1 0 2 2 0 3 6 3 0 4 12 12 4 0 5 20 27 20 5 0 6 30 48 48 30 6 0 7 42 75 88 75 42 7 0 8 56 108 140 | -| 44 | Polygonal:Rev | RowSum | A055795 | 0 1 3 7 15 30 56 98 162 255 385 561 793 1092 1470 1940 2516 3213 4047 5035 6195 7546 9108 10902 | -| 45 | Polygonal:Rev | EvenSum | missing | 0 1 2 4 8 15 28 48 80 125 190 276 392 539 728 960 1248 1593 2010 2500 3080 3751 4532 5424 6448 7605 | -| 46 | Polygonal:Rev | OddSum | missing | 0 0 1 3 7 15 28 50 82 130 195 285 401 553 742 980 1268 1620 2037 2535 3115 3795 4576 5478 6502 7670 | -| 47 | Polygonal:Rev | AltSum | missing | 0 1 1 1 1 0 0 -2 -2 -5 -5 -9 -9 -14 -14 -20 -20 -27 -27 -35 -35 -44 -44 -54 -54 -65 -65 -77 -77 -90 | -| 48 | Polygonal:Rev | DiagSum | missing | 0 1 2 4 7 12 20 32 50 75 110 156 217 294 392 512 660 837 1050 1300 1595 1936 2332 2784 3302 3887 | -| 49 | Polygonal:Rev | AccSum | missing | 0 2 8 23 58 133 280 546 996 1716 2816 4433 6734 9919 14224 19924 27336 36822 48792 63707 82082 | -| 50 | Polygonal:Rev | AccRevSum | missing | 0 1 4 12 32 77 168 336 624 1089 1804 2860 4368 6461 9296 13056 17952 24225 32148 42028 54208 69069 | -| 51 | Polygonal:Rev | RowLcm | missing | 1 1 2 3 12 90 240 11550 2520 149940 221760 37297260 7207200 686912646420 164324160 9357648300 | -| 52 | Polygonal:Rev | RowGcd | B114890 | 1 1 2 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 53 | Polygonal:Rev | RowMax | missing | 0 1 2 3 6 10 16 25 36 51 70 92 120 153 190 235 286 342 408 481 560 651 750 856 976 1105 1242 1395 | -| 54 | Polygonal:Rev | ColMiddle | missing | 0 1 1 3 4 9 12 22 28 45 55 81 96 133 154 204 232 297 333 415 460 561 616 738 804 949 1027 1197 1288 | -| 55 | Polygonal:Rev | CentralE | A006000 | 0 1 4 12 28 55 96 154 232 333 460 616 804 1027 1288 1590 | -| 56 | Polygonal:Rev | CentralO | A064808 | 1 3 9 22 45 81 133 204 297 415 561 738 949 1197 1485 1816 | -| 57 | Polygonal:Rev | ColLeft | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 58 | Polygonal:Rev | BinConv | missing | 0 1 4 15 56 200 672 2128 6400 18432 51200 137984 362496 931840 2351104 5836800 14286848 34537472 | -| 59 | Polygonal:Rev | InvBinConv | B080300 | 0 -1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 60 | Polygonal:Rev | TransNat0 | missing | 0 0 1 5 17 47 112 238 462 834 1419 2299 3575 5369 7826 11116 15436 21012 28101 36993 48013 61523 | -| 61 | Polygonal:Rev | TransNat1 | missing | 0 1 4 12 32 77 168 336 624 1089 1804 2860 4368 6461 9296 13056 17952 24225 32148 42028 54208 69069 | -| 62 | Polygonal:Rev | TransSqrs | missing | 0 0 1 7 31 107 308 770 1722 3522 6699 12001 20449 33397 52598 80276 119204 172788 245157 341259 | -| 63 | Polygonal:Rev | PosHalf | missing | 0 2 10 38 130 414 1242 3542 9682 25550 65482 163782 401346 966590 2293690 5373878 12451762 28573614 | -| 64 | Polygonal:Rev | NegHalf | missing | 0 -2 6 -14 30 -54 86 -94 -18 570 -2426 7890 -22754 61290 -157770 393218 -956338 2281626 -5359386 | -| 65 | Polygonal:Rev | DiagRow2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | -| 66 | Polygonal:Rev | DiagRow3 | A031193 | 3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 48 51 54 57 60 63 66 69 72 75 78 81 84 87 90 93 96 | -| 67 | Polygonal:Rev | DiagCol1 | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | -| 68 | Polygonal:Rev | DiagCol2 | A000290 | 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 | -| 69 | Polygonal:Rev | DiagCol3 | A000326 | 0 1 5 12 22 35 51 70 92 117 145 176 210 247 287 330 376 425 477 532 590 651 715 782 852 925 1001 | -| 70 | Polygonal:Rev | Poly | missing | 0 1 0 2 1 0 3 3 1 0 4 7 4 1 0 5 15 13 5 1 0 6 30 40 21 6 1 0 7 56 117 85 31 7 1 0 8 98 324 332 156 | -| 71 | Polygonal:Rev | PolyRow2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | -| 72 | Polygonal:Rev | PolyRow3 | B002061 | 3 7 13 21 31 43 57 73 91 111 133 157 183 211 241 273 307 343 381 421 463 507 553 601 651 703 757 | -| 73 | Polygonal:Rev | PolyCol2 | A360606 | 0 1 4 13 40 117 324 853 2152 5245 12436 28845 65736 147685 327940 721189 1573192 3408237 7340436 | -| 74 | Polygonal:Rev | PolyCol3 | missing | 0 1 5 21 85 332 1248 4534 16022 55395 188263 631139 2092611 6875590 22420250 72641436 234066652 | -| 75 | Polygonal:Rev | PolyDiag | missing | 0 1 4 21 156 1530 18816 280238 4919272 99598095 2286236860 58688610651 1666173815076 51837565263120 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:--------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | Polygonal:Std | Triangle | A139600 | 0 0 1 0 1 2 0 1 3 3 0 1 4 6 4 0 1 5 9 10 5 0 1 6 12 16 15 6 0 1 7 15 22 25 21 7 0 1 8 18 28 35 36 | +| 1 | Polygonal:Std | Rev | A089000 | 0 1 0 2 1 0 3 3 1 0 4 6 4 1 0 5 10 9 5 1 0 6 15 16 12 6 1 0 7 21 25 22 15 7 1 0 8 28 36 35 28 18 8 | +| 2 | Polygonal:Std | Acc | missing | 0 0 1 0 1 3 0 1 4 7 0 1 5 11 15 0 1 6 15 25 30 0 1 7 19 35 50 56 0 1 8 23 45 70 91 98 0 1 9 27 55 | +| 3 | Polygonal:Std | AccRev | missing | 0 1 1 2 3 3 3 6 7 7 4 10 14 15 15 5 15 24 29 30 30 6 21 37 49 55 56 56 7 28 53 75 90 97 98 98 8 36 | +| 4 | Polygonal:Std | AntiDiag | missing | 0 0 0 1 0 1 0 1 2 0 1 3 0 1 4 3 0 1 5 6 0 1 6 9 4 0 1 7 12 10 0 1 8 15 16 5 0 1 9 18 22 15 0 1 10 | +| 5 | Polygonal:Std | Diffx1 | missing | 0 0 2 0 2 6 0 2 9 12 0 2 12 24 20 0 2 15 36 50 30 0 2 18 48 80 90 42 0 2 21 60 110 150 147 56 0 2 | +| 6 | Polygonal:Std | RowSum | A055795 | 0 1 3 7 15 30 56 98 162 255 385 561 793 1092 1470 1940 2516 3213 4047 5035 6195 7546 9108 10902 | +| 7 | Polygonal:Std | EvenSum | missing | 0 0 2 3 8 15 28 50 80 130 190 285 392 553 728 980 1248 1620 2010 2535 3080 3795 4532 5478 6448 7670 | +| 8 | Polygonal:Std | OddSum | missing | 0 1 1 4 7 15 28 48 82 125 195 276 401 539 742 960 1268 1593 2037 2500 3115 3751 4576 5424 6502 7605 | +| 9 | Polygonal:Std | AltSum | missing | 0 -1 1 -1 1 0 0 2 -2 5 -5 9 -9 14 -14 20 -20 27 -27 35 -35 44 -44 54 -54 65 -65 77 -77 90 -90 104 | +| 10 | Polygonal:Std | DiagSum | missing | 0 0 1 1 3 4 8 12 20 30 45 65 91 126 168 224 288 372 465 585 715 880 1056 1276 1508 1794 2093 2457 | +| 11 | Polygonal:Std | AccSum | missing | 0 1 4 12 32 77 168 336 624 1089 1804 2860 4368 6461 9296 13056 17952 24225 32148 42028 54208 69069 | +| 12 | Polygonal:Std | AccRevSum | missing | 0 2 8 23 58 133 280 546 996 1716 2816 4433 6734 9919 14224 19924 27336 36822 48792 63707 82082 | +| 13 | Polygonal:Std | RowLcm | missing | 1 1 2 3 12 90 240 11550 2520 149940 221760 37297260 7207200 686912646420 164324160 9357648300 | +| 14 | Polygonal:Std | RowGcd | B114890 | 1 1 2 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 15 | Polygonal:Std | RowMax | missing | 0 1 2 3 6 10 16 25 36 51 70 92 120 153 190 235 286 342 408 481 560 651 750 856 976 1105 1242 1395 | +| 16 | Polygonal:Std | ColMiddle | missing | 0 0 1 1 4 5 12 15 28 34 55 65 96 111 154 175 232 260 333 369 460 505 616 671 804 870 1027 1105 1288 | +| 17 | Polygonal:Std | CentralE | A006000 | 0 1 4 12 28 55 96 154 232 333 460 616 804 1027 1288 1590 | +| 18 | Polygonal:Std | CentralO | A006003 | 0 1 5 15 34 65 111 175 260 369 505 671 870 1105 1379 1695 | +| 19 | Polygonal:Std | ColRight | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 20 | Polygonal:Std | BinConv | missing | 0 1 4 15 56 200 672 2128 6400 18432 51200 137984 362496 931840 2351104 5836800 14286848 34537472 | +| 21 | Polygonal:Std | InvBinConv | B080300 | 0 1 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 22 | Polygonal:Std | TransNat0 | missing | 0 1 5 16 43 103 224 448 834 1461 2431 3872 5941 8827 12754 17984 24820 33609 44745 58672 75887 | +| 23 | Polygonal:Std | TransNat1 | missing | 0 2 8 23 58 133 280 546 996 1716 2816 4433 6734 9919 14224 19924 27336 36822 48792 63707 82082 | +| 24 | Polygonal:Std | TransSqrs | missing | 0 1 9 40 135 387 980 2240 4698 9165 16819 29304 48841 78351 121590 183296 269348 386937 544749 | +| 25 | Polygonal:Std | PosHalf | A360606 | 0 1 4 13 40 117 324 853 2152 5245 12436 28845 65736 147685 327940 721189 1573192 3408237 7340436 | +| 26 | Polygonal:Std | NegHalf | A360605 | 0 1 0 1 0 -3 8 -31 72 -195 448 -1071 2416 -5475 12120 -26719 58232 -126243 271824 -582575 1242720 | +| 27 | Polygonal:Std | DiagRow1 | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | +| 28 | Polygonal:Std | DiagRow2 | A000290 | 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 | +| 29 | Polygonal:Std | DiagRow3 | A000326 | 0 1 5 12 22 35 51 70 92 117 145 176 210 247 287 330 376 425 477 532 590 651 715 782 852 925 1001 | +| 30 | Polygonal:Std | DiagCol2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | +| 31 | Polygonal:Std | DiagCol3 | A031193 | 3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 48 51 54 57 60 63 66 69 72 75 78 81 84 87 90 93 96 | +| 32 | Polygonal:Std | Poly | missing | 0 0 0 0 1 0 0 3 2 0 0 7 10 3 0 0 15 38 21 4 0 0 30 130 111 36 5 0 0 56 414 525 244 55 6 0 0 98 1242 | +| 33 | Polygonal:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 34 | Polygonal:Std | PolyRow2 | A014105 | 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | +| 35 | Polygonal:Std | PolyRow3 | A249354 | 0 7 38 111 244 455 762 1183 1736 2439 3310 4367 5628 7111 8834 10815 13072 15623 18486 21679 25220 | +| 36 | Polygonal:Std | PolyCol2 | missing | 0 2 10 38 130 414 1242 3542 9682 25550 65482 163782 401346 966590 2293690 5373878 12451762 28573614 | +| 37 | Polygonal:Std | PolyCol3 | missing | 0 3 21 111 525 2316 9696 38946 151302 572025 2114679 7672665 27402411 96556170 336302490 1159571028 | +| 38 | Polygonal:Std | PolyDiag | missing | 0 1 10 111 1476 23130 420126 8713922 203646472 5300831655 152171925010 4777629517881 | +| 39 | Polygonal:Alt | Triangle | A139600 | 0 0 -1 0 -1 2 0 -1 3 -3 0 -1 4 -6 4 0 -1 5 -9 10 -5 0 -1 6 -12 16 -15 6 0 -1 7 -15 22 -25 21 -7 0 | +| 40 | Polygonal:Alt | Rev | A089000 | 0 -1 0 2 -1 0 -3 3 -1 0 4 -6 4 -1 0 -5 10 -9 5 -1 0 6 -15 16 -12 6 -1 0 -7 21 -25 22 -15 7 -1 0 8 | +| 41 | Polygonal:Alt | Acc | A077593 | 0 0 -1 0 -1 1 0 -1 2 -1 0 -1 3 -3 1 0 -1 4 -5 5 0 0 -1 5 -7 9 -6 0 0 -1 6 -9 13 -12 9 2 0 -1 7 -11 | +| 42 | Polygonal:Alt | AccRev | missing | 0 -1 -1 2 1 1 -3 0 -1 -1 4 -2 2 1 1 -5 5 -4 1 0 0 6 -9 7 -5 1 0 0 -7 14 -11 11 -4 3 2 2 8 -20 16 | +| 43 | Polygonal:Alt | AntiDiag | missing | 0 0 0 -1 0 -1 0 -1 2 0 -1 3 0 -1 4 -3 0 -1 5 -6 0 -1 6 -9 4 0 -1 7 -12 10 0 -1 8 -15 16 -5 0 -1 9 | +| 44 | Polygonal:Alt | Diffx1 | missing | 0 0 -2 0 -2 6 0 -2 9 -12 0 -2 12 -24 20 0 -2 15 -36 50 -30 0 -2 18 -48 80 -90 42 0 -2 21 -60 110 | +| 45 | Polygonal:Alt | RowSum | missing | 0 -1 1 -1 1 0 0 2 -2 5 -5 9 -9 14 -14 20 -20 27 -27 35 -35 44 -44 54 -54 65 -65 77 -77 90 -90 104 | +| 46 | Polygonal:Alt | EvenSum | missing | 0 0 2 3 8 15 28 50 80 130 190 285 392 553 728 980 1248 1620 2010 2535 3080 3795 4532 5478 6448 7670 | +| 47 | Polygonal:Alt | OddSum | missing | 0 -1 -1 -4 -7 -15 -28 -48 -82 -125 -195 -276 -401 -539 -742 -960 -1268 -1593 -2037 -2500 -3115 | +| 48 | Polygonal:Alt | AltSum | A055795 | 0 1 3 7 15 30 56 98 162 255 385 561 793 1092 1470 1940 2516 3213 4047 5035 6195 7546 9108 10902 | +| 49 | Polygonal:Alt | DiagSum | missing | 0 0 -1 -1 1 2 0 -2 0 4 3 -3 -3 6 8 -4 -8 8 15 -5 -15 10 24 -6 -24 12 35 -7 -35 14 48 -8 | +| 50 | Polygonal:Alt | AccSum | missing | 0 -1 0 0 0 3 0 8 0 15 0 24 0 35 0 48 0 63 0 80 0 99 0 120 0 143 0 168 0 195 0 224 | +| 51 | Polygonal:Alt | AccRevSum | missing | 0 -2 4 -5 6 -3 0 10 -20 40 -60 93 -126 175 -224 292 -360 450 -540 655 -770 913 -1056 1230 -1404 | +| 52 | Polygonal:Alt | RowLcm | missing | 1 1 2 3 12 90 240 11550 2520 149940 221760 37297260 7207200 686912646420 164324160 9357648300 | +| 53 | Polygonal:Alt | RowGcd | B114890 | 1 1 2 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 54 | Polygonal:Alt | RowMax | missing | 0 1 2 3 6 10 16 25 36 51 70 92 120 153 190 235 286 342 408 481 560 651 750 856 976 1105 1242 1395 | +| 55 | Polygonal:Alt | ColMiddle | missing | 0 0 -1 -1 4 5 -12 -15 28 34 -55 -65 96 111 -154 -175 232 260 -333 -369 460 505 -616 -671 804 870 | +| 56 | Polygonal:Alt | CentralE | A006000 | 0 -1 4 -12 28 -55 96 -154 232 -333 460 -616 804 -1027 1288 -1590 | +| 57 | Polygonal:Alt | CentralO | A006003 | 0 -1 5 -15 34 -65 111 -175 260 -369 505 -671 870 -1105 1379 -1695 | +| 58 | Polygonal:Alt | ColRight | A001477 | 0 -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 16 -17 18 -19 20 -21 22 -23 24 -25 26 -27 28 -29 30 | +| 59 | Polygonal:Alt | BinConv | B080300 | 0 -1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 60 | Polygonal:Alt | InvBinConv | missing | 0 -1 4 -15 56 -200 672 -2128 6400 -18432 51200 -137984 362496 -931840 2351104 -5836800 14286848 | +| 61 | Polygonal:Alt | TransNat0 | missing | 0 -1 3 -4 5 -3 0 8 -18 35 -55 84 -117 161 -210 272 -340 423 -513 620 -735 869 -1012 1176 -1350 1547 | +| 62 | Polygonal:Alt | TransNat1 | missing | 0 -2 4 -5 6 -3 0 10 -20 40 -60 93 -126 175 -224 292 -360 450 -540 655 -770 913 -1056 1230 -1404 | +| 63 | Polygonal:Alt | TransSqrs | missing | 0 -1 7 -16 25 -27 12 32 -122 275 -515 864 -1353 2009 -2870 3968 -5348 7047 -9117 11600 -14555 18029 | +| 64 | Polygonal:Alt | PosHalf | A360605 | 0 -1 0 -1 0 3 8 31 72 195 448 1071 2416 5475 12120 26719 58232 126243 271824 582575 1242720 2640899 | +| 65 | Polygonal:Alt | NegHalf | A360606 | 0 -1 4 -13 40 -117 324 -853 2152 -5245 12436 -28845 65736 -147685 327940 -721189 1573192 -3408237 | +| 66 | Polygonal:Alt | DiagRow1 | A000217 | 0 -1 3 -6 10 -15 21 -28 36 -45 55 -66 78 -91 105 -120 136 -153 171 -190 210 -231 253 -276 300 -325 | +| 67 | Polygonal:Alt | DiagRow2 | A000290 | 0 -1 4 -9 16 -25 36 -49 64 -81 100 -121 144 -169 196 -225 256 -289 324 -361 400 -441 484 -529 576 | +| 68 | Polygonal:Alt | DiagRow3 | A000326 | 0 -1 5 -12 22 -35 51 -70 92 -117 145 -176 210 -247 287 -330 376 -425 477 -532 590 -651 715 -782 852 | +| 69 | Polygonal:Alt | DiagCol2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | +| 70 | Polygonal:Alt | DiagCol3 | A031193 | -3 -6 -9 -12 -15 -18 -21 -24 -27 -30 -33 -36 -39 -42 -45 -48 -51 -54 -57 -60 -63 -66 -69 -72 -75 | +| 71 | Polygonal:Alt | Poly | missing | 0 0 0 0 -1 0 0 1 -2 0 0 -1 6 -3 0 0 1 -14 15 -4 0 0 0 30 -57 28 -5 0 0 0 -54 195 -148 45 -6 0 0 2 | +| 72 | Polygonal:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 73 | Polygonal:Alt | PolyRow2 | A000384 | 0 1 6 15 28 45 66 91 120 153 190 231 276 325 378 435 496 561 630 703 780 861 946 1035 1128 1225 | +| 74 | Polygonal:Alt | PolyRow3 | A005915 | 0 -1 -14 -57 -148 -305 -546 -889 -1352 -1953 -2710 -3641 -4764 -6097 -7658 -9465 -11536 -13889 | +| 75 | Polygonal:Alt | PolyCol2 | missing | 0 -2 6 -14 30 -54 86 -94 -18 570 -2426 7890 -22754 61290 -157770 393218 -956338 2281626 -5359386 | +| 76 | Polygonal:Alt | PolyCol3 | missing | 0 -3 15 -57 195 -606 1752 -4638 10842 -19605 8997 155697 -1114779 5586360 -24381930 98704788 | +| 77 | Polygonal:Alt | PolyDiag | missing | 0 -1 6 -57 700 -10380 181650 -3666334 83893752 -2146813155 60760876990 -1884782435151 | +| 78 | Polygonal:Rev | Triangle | A089000 | 0 1 0 2 1 0 3 3 1 0 4 6 4 1 0 5 10 9 5 1 0 6 15 16 12 6 1 0 7 21 25 22 15 7 1 0 8 28 36 35 28 18 8 | +| 79 | Polygonal:Rev | Acc | missing | 0 1 1 2 3 3 3 6 7 7 4 10 14 15 15 5 15 24 29 30 30 6 21 37 49 55 56 56 7 28 53 75 90 97 98 98 8 36 | +| 80 | Polygonal:Rev | AccRev | missing | 0 0 1 0 1 3 0 1 4 7 0 1 5 11 15 0 1 6 15 25 30 0 1 7 19 35 50 56 0 1 8 23 45 70 91 98 0 1 9 27 55 | +| 81 | Polygonal:Rev | AntiDiag | A175990 | 0 1 2 0 3 1 4 3 0 5 6 1 6 10 4 0 7 15 9 1 8 21 16 5 0 9 28 25 12 1 10 36 36 22 6 0 11 45 49 35 15 1 | +| 82 | Polygonal:Rev | Diffx1 | A216973 | 0 1 0 2 2 0 3 6 3 0 4 12 12 4 0 5 20 27 20 5 0 6 30 48 48 30 6 0 7 42 75 88 75 42 7 0 8 56 108 140 | +| 83 | Polygonal:Rev | RowSum | A055795 | 0 1 3 7 15 30 56 98 162 255 385 561 793 1092 1470 1940 2516 3213 4047 5035 6195 7546 9108 10902 | +| 84 | Polygonal:Rev | EvenSum | missing | 0 1 2 4 8 15 28 48 80 125 190 276 392 539 728 960 1248 1593 2010 2500 3080 3751 4532 5424 6448 7605 | +| 85 | Polygonal:Rev | OddSum | missing | 0 0 1 3 7 15 28 50 82 130 195 285 401 553 742 980 1268 1620 2037 2535 3115 3795 4576 5478 6502 7670 | +| 86 | Polygonal:Rev | AltSum | missing | 0 1 1 1 1 0 0 -2 -2 -5 -5 -9 -9 -14 -14 -20 -20 -27 -27 -35 -35 -44 -44 -54 -54 -65 -65 -77 -77 -90 | +| 87 | Polygonal:Rev | DiagSum | missing | 0 1 2 4 7 12 20 32 50 75 110 156 217 294 392 512 660 837 1050 1300 1595 1936 2332 2784 3302 3887 | +| 88 | Polygonal:Rev | AccSum | missing | 0 2 8 23 58 133 280 546 996 1716 2816 4433 6734 9919 14224 19924 27336 36822 48792 63707 82082 | +| 89 | Polygonal:Rev | AccRevSum | missing | 0 1 4 12 32 77 168 336 624 1089 1804 2860 4368 6461 9296 13056 17952 24225 32148 42028 54208 69069 | +| 90 | Polygonal:Rev | RowLcm | missing | 1 1 2 3 12 90 240 11550 2520 149940 221760 37297260 7207200 686912646420 164324160 9357648300 | +| 91 | Polygonal:Rev | RowGcd | B114890 | 1 1 2 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 92 | Polygonal:Rev | RowMax | missing | 0 1 2 3 6 10 16 25 36 51 70 92 120 153 190 235 286 342 408 481 560 651 750 856 976 1105 1242 1395 | +| 93 | Polygonal:Rev | ColMiddle | missing | 0 1 1 3 4 9 12 22 28 45 55 81 96 133 154 204 232 297 333 415 460 561 616 738 804 949 1027 1197 1288 | +| 94 | Polygonal:Rev | CentralE | A006000 | 0 1 4 12 28 55 96 154 232 333 460 616 804 1027 1288 1590 | +| 95 | Polygonal:Rev | CentralO | A064808 | 1 3 9 22 45 81 133 204 297 415 561 738 949 1197 1485 1816 | +| 96 | Polygonal:Rev | ColLeft | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 97 | Polygonal:Rev | BinConv | missing | 0 1 4 15 56 200 672 2128 6400 18432 51200 137984 362496 931840 2351104 5836800 14286848 34537472 | +| 98 | Polygonal:Rev | InvBinConv | B080300 | 0 -1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 99 | Polygonal:Rev | TransNat0 | missing | 0 0 1 5 17 47 112 238 462 834 1419 2299 3575 5369 7826 11116 15436 21012 28101 36993 48013 61523 | +| 100 | Polygonal:Rev | TransNat1 | missing | 0 1 4 12 32 77 168 336 624 1089 1804 2860 4368 6461 9296 13056 17952 24225 32148 42028 54208 69069 | +| 101 | Polygonal:Rev | TransSqrs | missing | 0 0 1 7 31 107 308 770 1722 3522 6699 12001 20449 33397 52598 80276 119204 172788 245157 341259 | +| 102 | Polygonal:Rev | PosHalf | missing | 0 2 10 38 130 414 1242 3542 9682 25550 65482 163782 401346 966590 2293690 5373878 12451762 28573614 | +| 103 | Polygonal:Rev | NegHalf | missing | 0 -2 6 -14 30 -54 86 -94 -18 570 -2426 7890 -22754 61290 -157770 393218 -956338 2281626 -5359386 | +| 104 | Polygonal:Rev | DiagRow2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | +| 105 | Polygonal:Rev | DiagRow3 | A031193 | 3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 48 51 54 57 60 63 66 69 72 75 78 81 84 87 90 93 96 | +| 106 | Polygonal:Rev | DiagCol1 | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | +| 107 | Polygonal:Rev | DiagCol2 | A000290 | 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 | +| 108 | Polygonal:Rev | DiagCol3 | A000326 | 0 1 5 12 22 35 51 70 92 117 145 176 210 247 287 330 376 425 477 532 590 651 715 782 852 925 1001 | +| 109 | Polygonal:Rev | Poly | missing | 0 1 0 2 1 0 3 3 1 0 4 7 4 1 0 5 15 13 5 1 0 6 30 40 21 6 1 0 7 56 117 85 31 7 1 0 8 98 324 332 156 | +| 110 | Polygonal:Rev | PolyRow2 | A020725 | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | +| 111 | Polygonal:Rev | PolyRow3 | B002061 | 3 7 13 21 31 43 57 73 91 111 133 157 183 211 241 273 307 343 381 421 463 507 553 601 651 703 757 | +| 112 | Polygonal:Rev | PolyCol2 | A360606 | 0 1 4 13 40 117 324 853 2152 5245 12436 28845 65736 147685 327940 721189 1573192 3408237 7340436 | +| 113 | Polygonal:Rev | PolyCol3 | missing | 0 1 5 21 85 332 1248 4534 16022 55395 188263 631139 2092611 6875590 22420250 72641436 234066652 | +| 114 | Polygonal:Rev | PolyDiag | missing | 0 1 4 21 156 1530 18816 280238 4919272 99598095 2286236860 58688610651 1666173815076 51837565263120 | \ No newline at end of file diff --git a/data/md/PowLaguerre.md b/data/md/PowLaguerre.md index 705f939..c0c920f 100644 --- a/data/md/PowLaguerre.md +++ b/data/md/PowLaguerre.md @@ -39,4 +39,44 @@ | 36 | PowLaguerre:Std | PolyRow3 | B244726 | 6 48 162 384 750 1296 2058 3072 4374 6000 7986 10368 13182 16464 20250 24576 29478 34992 41154 | | 37 | PowLaguerre:Std | PolyCol2 | A032031 | 1 3 18 162 1944 29160 524880 11022480 264539520 7142567040 214277011200 7071141369600 | | 38 | PowLaguerre:Std | PolyCol3 | A047053 | 1 4 32 384 6144 122880 2949120 82575360 2642411520 95126814720 3805072588800 167423193907200 | -| 39 | PowLaguerre:Std | PolyDiag | A152684 | 1 2 18 384 15000 933120 84707280 10569646080 1735643790720 362880000000000 94121726392108800 | \ No newline at end of file +| 39 | PowLaguerre:Std | PolyDiag | A152684 | 1 2 18 384 15000 933120 84707280 10569646080 1735643790720 362880000000000 94121726392108800 | +| 40 | PowLaguerre:Alt | Triangle | A021012 | 1 1 -1 2 -4 2 6 -18 18 -6 24 -96 144 -96 24 120 -600 1200 -1200 600 -120 720 -4320 10800 -14400 | +| 41 | PowLaguerre:Alt | Rev | A021012 | 1 -1 1 2 -4 2 -6 18 -18 6 24 -96 144 -96 24 -120 600 -1200 1200 -600 120 720 -4320 10800 -14400 | +| 42 | PowLaguerre:Alt | Acc | missing | 1 1 0 2 -2 0 6 -12 6 0 24 -72 72 -24 0 120 -480 720 -480 120 0 720 -3600 7200 -7200 3600 -720 0 | +| 43 | PowLaguerre:Alt | AccRev | missing | 1 -1 0 2 -2 0 -6 12 -6 0 24 -72 72 -24 0 -120 480 -720 480 -120 0 720 -3600 7200 -7200 3600 -720 0 | +| 44 | PowLaguerre:Alt | AntiDiag | missing | 1 1 2 -1 6 -4 24 -18 2 120 -96 18 720 -600 144 -6 5040 -4320 1200 -96 40320 -35280 10800 -1200 24 | +| 45 | PowLaguerre:Alt | Diffx1 | missing | 1 1 -2 2 -8 6 6 -36 54 -24 24 -192 432 -384 120 120 -1200 3600 -4800 3000 -720 720 -8640 32400 | +| 46 | PowLaguerre:Alt | EvenSum | A002866 | 1 1 4 24 192 1920 23040 322560 5160960 92897280 1857945600 40874803200 980995276800 25505877196800 | +| 47 | PowLaguerre:Alt | OddSum | B002866 | 0 -1 -4 -24 -192 -1920 -23040 -322560 -5160960 -92897280 -1857945600 -40874803200 -980995276800 | +| 48 | PowLaguerre:Alt | AltSum | A000165 | 1 2 8 48 384 3840 46080 645120 10321920 185794560 3715891200 81749606400 1961990553600 | +| 49 | PowLaguerre:Alt | DiagSum | A013999 | 1 1 1 2 8 42 258 1824 14664 132360 1326120 14606640 175448160 2282469840 31972303440 479793807360 | +| 50 | PowLaguerre:Alt | AccSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 51 | PowLaguerre:Alt | AccRevSum | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 52 | PowLaguerre:Alt | RowLcm | A360283 | 1 1 4 18 288 1200 43200 529200 11289600 91445760 9144576000 92207808000 13277924352000 | +| 53 | PowLaguerre:Alt | RowGcd | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 54 | PowLaguerre:Alt | RowMax | A059837 | 1 1 4 18 144 1200 14400 176400 2822400 45722880 914457600 18441561600 442597478400 10685567692800 | +| 55 | PowLaguerre:Alt | ColMiddle | A059837 | 1 1 -4 -18 144 1200 -14400 -176400 2822400 45722880 -914457600 -18441561600 442597478400 | +| 56 | PowLaguerre:Alt | CentralE | A122747 | 1 -4 144 -14400 2822400 -914457600 442597478400 -299195895398400 269276305858560000 | +| 57 | PowLaguerre:Alt | CentralO | B360602 | 1 -18 1200 -176400 45722880 -18441561600 10685567692800 -8414884558080000 8646761377013760000 | +| 58 | PowLaguerre:Alt | ColLeft | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 59 | PowLaguerre:Alt | ColRight | A000142 | 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | +| 60 | PowLaguerre:Alt | BinConv | missing | 1 0 -4 0 144 0 -14400 0 2822400 0 -914457600 0 442597478400 0 -299195895398400 0 269276305858560000 | +| 61 | PowLaguerre:Alt | InvBinConv | A001813 | 1 -2 12 -120 1680 -30240 665280 -17297280 518918400 -17643225600 670442572800 -28158588057600 | +| 62 | PowLaguerre:Alt | TransNat0 | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 63 | PowLaguerre:Alt | TransNat1 | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 64 | PowLaguerre:Alt | TransSqrs | A274981 | 0 -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 65 | PowLaguerre:Alt | PosHalf | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 66 | PowLaguerre:Alt | NegHalf | A032031 | 1 -3 18 -162 1944 -29160 524880 -11022480 264539520 -7142567040 214277011200 -7071141369600 | +| 67 | PowLaguerre:Alt | DiagRow1 | B001563 | 1 -4 18 -96 600 -4320 35280 -322560 3265920 -36288000 439084800 -5748019200 80951270400 | +| 68 | PowLaguerre:Alt | DiagRow2 | A001804 | 2 -18 144 -1200 10800 -105840 1128960 -13063680 163296000 -2195424000 31614105600 -485707622400 | +| 69 | PowLaguerre:Alt | DiagRow3 | A001805 | 6 -96 1200 -14400 176400 -2257920 30481920 -435456000 6586272000 -105380352000 1780927948800 | +| 70 | PowLaguerre:Alt | DiagCol1 | B001563 | -1 -4 -18 -96 -600 -4320 -35280 -322560 -3265920 -36288000 -439084800 -5748019200 -80951270400 | +| 71 | PowLaguerre:Alt | DiagCol2 | A001804 | 2 18 144 1200 10800 105840 1128960 13063680 163296000 2195424000 31614105600 485707622400 | +| 72 | PowLaguerre:Alt | DiagCol3 | A001805 | -6 -96 -1200 -14400 -176400 -2257920 -30481920 -435456000 -6586272000 -105380352000 -1780927948800 | +| 73 | PowLaguerre:Alt | Poly | missing | 1 1 1 2 0 1 6 0 -1 1 24 0 2 -2 1 120 0 -6 8 -3 1 720 0 24 -48 18 -4 1 5040 0 -120 384 -162 32 -5 1 | +| 74 | PowLaguerre:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | PowLaguerre:Alt | PolyRow2 | A001105 | 2 0 2 8 18 32 50 72 98 128 162 200 242 288 338 392 450 512 578 648 722 800 882 968 1058 1152 1250 | +| 76 | PowLaguerre:Alt | PolyRow3 | A244726 | 6 0 -6 -48 -162 -384 -750 -1296 -2058 -3072 -4374 -6000 -7986 -10368 -13182 -16464 -20250 -24576 | +| 77 | PowLaguerre:Alt | PolyCol2 | A000142 | 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | +| 78 | PowLaguerre:Alt | PolyCol3 | A000165 | 1 -2 8 -48 384 -3840 46080 -645120 10321920 -185794560 3715891200 -81749606400 1961990553600 | +| 79 | PowLaguerre:Alt | PolyDiag | missing | 1 0 2 -48 1944 -122880 11250000 -1410877440 232436776320 -48704929136640 12652843234348800 | \ No newline at end of file diff --git a/data/md/Rencontres.md b/data/md/Rencontres.md index 9c33b9a..1479d3f 100644 --- a/data/md/Rencontres.md +++ b/data/md/Rencontres.md @@ -40,117 +40,157 @@ | 37 | Rencontres:Std | PolyCol2 | A000522 | 1 2 5 16 65 326 1957 13700 109601 986410 9864101 108505112 1302061345 16926797486 236975164805 | | 38 | Rencontres:Std | PolyCol3 | A010842 | 1 3 10 38 168 872 5296 37200 297856 2681216 26813184 294947072 3539368960 46011804672 644165281792 | | 39 | Rencontres:Std | PolyDiag | A217701 | 1 1 5 38 393 5144 81445 1512720 32237681 775193984 20759213061 612623724800 19751688891385 | -| 40 | Rencontres:Rev | Triangle | A098825 | 1 1 0 1 0 1 1 0 3 2 1 0 6 8 9 1 0 10 20 45 44 1 0 15 40 135 264 265 1 0 21 70 315 924 1855 1854 1 0 | -| 41 | Rencontres:Rev | InvRev | A055137 | 1 0 1 -1 0 1 -2 -3 0 1 -3 -8 -6 0 1 -4 -15 -20 -10 0 1 -5 -24 -45 -40 -15 0 1 -6 -35 -84 -105 -70 | -| 42 | Rencontres:Rev | Acc | missing | 1 1 1 1 1 2 1 1 4 6 1 1 7 15 24 1 1 11 31 76 120 1 1 16 56 191 455 720 1 1 22 92 407 1331 3186 5040 | -| 43 | Rencontres:Rev | AccRev | missing | 1 0 1 1 1 2 2 5 5 6 9 17 23 23 24 44 89 109 119 119 120 265 529 664 704 719 719 720 1854 3709 4633 | -| 44 | Rencontres:Rev | AntiDiag | missing | 1 1 1 0 1 0 1 0 1 1 0 3 1 0 6 2 1 0 10 8 1 0 15 20 9 1 0 21 40 45 1 0 28 70 135 44 1 0 36 112 315 | -| 45 | Rencontres:Rev | Diffx1 | missing | 1 1 0 1 0 3 1 0 9 8 1 0 18 32 45 1 0 30 80 225 264 1 0 45 160 675 1584 1855 1 0 63 280 1575 5544 | -| 46 | Rencontres:Rev | RowSum | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 47 | Rencontres:Rev | EvenSum | missing | 1 1 2 4 16 56 416 2192 22912 156928 2060032 17257472 271913984 2692143104 49488295936 565349945344 | -| 48 | Rencontres:Rev | OddSum | missing | 0 0 0 2 8 64 304 2848 17408 205952 1568768 22659328 207087616 3534877696 37689995264 742324422656 | -| 49 | Rencontres:Rev | AltSum | A000023 | 1 1 2 2 8 -8 112 -656 5504 -49024 491264 -5401856 64826368 -842734592 11798300672 -176974477312 | -| 50 | Rencontres:Rev | DiagSum | missing | 1 1 1 1 2 4 9 19 45 107 278 728 2033 5749 17105 51669 162674 520524 1724329 5807143 20146861 | -| 51 | Rencontres:Rev | AccSum | A098558 | 1 2 4 12 48 240 1440 10080 80640 725760 7257600 79833600 958003200 12454041600 174356582400 | -| 52 | Rencontres:Rev | AccRevSum | A094258 | 1 1 4 18 96 600 4320 35280 322560 3265920 36288000 439084800 5748019200 80951270400 1220496076800 | -| 53 | Rencontres:Rev | RowLcm | missing | 1 1 1 6 72 1980 629640 75661740 1282617816480 4377895262100360 721520918146760331600 | -| 54 | Rencontres:Rev | RowMax | A174318 | 1 1 1 3 9 45 265 1855 14833 133497 1334961 14684571 176214841 2290792933 32071101049 481066515735 | -| 55 | Rencontres:Rev | ColMiddle | missing | 1 1 0 0 6 10 40 70 630 1134 11088 20328 244860 454740 6362928 11930490 190900710 360590230 | -| 56 | Rencontres:Rev | CentralE | A281262 | 1 0 6 40 630 11088 244860 6362928 190900710 6490575520 246642054516 10358965584240 476512419579196 | -| 57 | Rencontres:Rev | CentralO | missing | 1 0 10 70 1134 20328 454740 11930490 360590230 12332093488 470862104076 19854684036460 | -| 58 | Rencontres:Rev | ColRight | A000166 | 1 0 1 2 9 44 265 1854 14833 133496 1334961 14684570 176214841 2290792932 32071101049 481066515734 | -| 59 | Rencontres:Rev | BinConv | missing | 1 1 2 12 78 570 4900 48160 530390 6464430 86327388 1252761048 19620649356 329739285876 | -| 60 | Rencontres:Rev | InvBinConv | missing | 1 -1 2 -8 14 -82 132 -744 4566 33442 587036 6952064 87792652 1082005052 13392493064 162520998480 | -| 61 | Rencontres:Rev | TransNat0 | A062119 | 0 0 2 12 72 480 3600 30240 282240 2903040 32659200 399168000 5269017600 74724249600 1133317785600 | -| 62 | Rencontres:Rev | TransNat1 | A094258 | 1 1 4 18 96 600 4320 35280 322560 3265920 36288000 439084800 5748019200 80951270400 1220496076800 | -| 63 | Rencontres:Rev | TransSqrs | missing | 0 0 4 30 240 2040 18720 186480 2016000 23587200 297561600 4031596800 58438195200 902918016000 | -| 64 | Rencontres:Rev | PosHalf | A000522 | 1 2 5 16 65 326 1957 13700 109601 986410 9864101 108505112 1302061345 16926797486 236975164805 | -| 65 | Rencontres:Rev | NegHalf | A010843 | 1 -2 5 -12 33 -78 261 -360 3681 13446 193509 1951452 23948865 309740922 4341155877 65102989248 | -| 66 | Rencontres:Rev | DiagRow1 | A000240 | 1 0 3 8 45 264 1855 14832 133497 1334960 14684571 176214840 2290792933 32071101048 481066515735 | -| 67 | Rencontres:Rev | DiagRow2 | B000387 | 1 0 6 20 135 924 7420 66744 667485 7342280 88107426 1145396460 16035550531 240533257860 | -| 68 | Rencontres:Rev | DiagRow3 | A000449 | 1 0 10 40 315 2464 22260 222480 2447445 29369120 381798846 5345183480 80177752655 1282844041920 | -| 69 | Rencontres:Rev | DiagCol2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | -| 70 | Rencontres:Rev | DiagCol3 | B007290 | 2 8 20 40 70 112 168 240 330 440 572 728 910 1120 1360 1632 1938 2280 2660 3080 3542 4048 4600 5200 | -| 71 | Rencontres:Rev | Poly | missing | 1 1 1 1 1 1 1 2 1 1 1 6 5 1 1 1 24 29 10 1 1 1 120 233 82 17 1 1 1 720 2329 1000 177 26 1 1 1 5040 | -| 72 | Rencontres:Rev | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 73 | Rencontres:Rev | PolyRow3 | missing | 1 6 29 82 177 326 541 834 1217 1702 2301 3026 3889 4902 6077 7426 8961 10694 12637 14802 17201 | -| 74 | Rencontres:Rev | PolyCol2 | A000354 | 1 1 5 29 233 2329 27949 391285 6260561 112690097 2253801941 49583642701 1190007424825 | -| 75 | Rencontres:Rev | PolyCol3 | missing | 1 1 10 82 1000 14968 269488 5659120 135819136 3667116160 110013485824 3630445030144 130696021089280 | -| 76 | Rencontres:Rev | PolyDiag | missing | 1 1 5 82 2913 168376 14600845 1761398640 281989891841 57797093005696 14753600077944501 | -| 77 | Rencontres:Inv | Triangle | A055137 | 1 0 1 -1 0 1 -2 -3 0 1 -3 -8 -6 0 1 -4 -15 -20 -10 0 1 -5 -24 -45 -40 -15 0 1 -6 -35 -84 -105 -70 | -| 78 | Rencontres:Inv | Rev | missing | 1 1 0 1 0 -1 1 0 -3 -2 1 0 -6 -8 -3 1 0 -10 -20 -15 -4 1 0 -15 -40 -45 -24 -5 1 0 -21 -70 -105 -84 | -| 79 | Rencontres:Inv | RevInv | A098825 | 1 1 0 1 0 1 1 0 3 2 1 0 6 8 9 1 0 10 20 45 44 1 0 15 40 135 264 265 1 0 21 70 315 924 1855 1854 1 0 | -| 80 | Rencontres:Inv | Acc | missing | 1 0 1 -1 -1 0 -2 -5 -5 -4 -3 -11 -17 -17 -16 -4 -19 -39 -49 -49 -48 -5 -29 -74 -114 -129 -129 -128 | -| 81 | Rencontres:Inv | AccRev | missing | 1 1 1 1 1 0 1 1 -2 -4 1 1 -5 -13 -16 1 1 -9 -29 -44 -48 1 1 -14 -54 -99 -123 -128 1 1 -20 -90 -195 | -| 82 | Rencontres:Inv | AntiDiag | missing | 1 0 -1 1 -2 0 -3 -3 1 -4 -8 0 -5 -15 -6 1 -6 -24 -20 0 -7 -35 -45 -10 1 -8 -48 -84 -40 0 -9 -63 | -| 83 | Rencontres:Inv | Diffx1 | missing | 1 0 2 -1 0 3 -2 -6 0 4 -3 -16 -18 0 5 -4 -30 -60 -40 0 6 -5 -48 -135 -160 -75 0 7 -6 -70 -252 -420 | -| 84 | Rencontres:Inv | RowSum | A159964 | 1 1 0 -4 -16 -48 -128 -320 -768 -1792 -4096 -9216 -20480 -45056 -98304 -212992 -458752 -983040 | -| 85 | Rencontres:Inv | EvenSum | B036289 | 1 0 0 -2 -8 -24 -64 -160 -384 -896 -2048 -4608 -10240 -22528 -49152 -106496 -229376 -491520 | -| 86 | Rencontres:Inv | OddSum | A097064 | 0 1 0 -2 -8 -24 -64 -160 -384 -896 -2048 -4608 -10240 -22528 -49152 -106496 -229376 -491520 | -| 87 | Rencontres:Inv | AltSum | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 88 | Rencontres:Inv | DiagSum | B240847 | 1 0 0 -2 -5 -12 -25 -50 -96 -180 -331 -600 -1075 -1908 -3360 -5878 -10225 -17700 -30509 -52390 | -| 89 | Rencontres:Inv | AccSum | A127276 | 1 1 -2 -16 -64 -208 -608 -1664 -4352 -11008 -27136 -65536 -155648 -364544 -843776 -1933312 -4390912 | -| 90 | Rencontres:Inv | AccRevSum | missing | 1 2 2 -4 -32 -128 -416 -1216 -3328 -8704 -22016 -54272 -131072 -311296 -729088 -1687552 -3866624 | -| 91 | Rencontres:Inv | RowLcm | missing | 1 1 1 6 24 60 360 420 3360 7560 25200 27720 332640 360360 5045040 5405400 5765760 12252240 | -| 92 | Rencontres:Inv | RowMax | B191522 | 1 1 1 3 8 20 45 105 224 504 1050 2310 4752 10296 21021 45045 91520 194480 393822 831402 1679600 | -| 93 | Rencontres:Inv | ColMiddle | missing | 1 0 0 -3 -6 -20 -40 -105 -210 -504 -1008 -2310 -4620 -10296 -20592 -45045 -90090 -194480 -388960 | -| 94 | Rencontres:Inv | CentralE | missing | 1 0 -6 -40 -210 -1008 -4620 -20592 -90090 -388960 -1662804 -7054320 -29745716 -124807200 -521515800 | -| 95 | Rencontres:Inv | CentralO | A000917 | 0 -3 -20 -105 -504 -2310 -10296 -45045 -194480 -831402 -3527160 -14872858 -62403600 -260757900 | -| 96 | Rencontres:Inv | ColLeft | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 97 | Rencontres:Inv | BinConv | missing | 1 1 0 -10 -70 -378 -1848 -8580 -38610 -170170 -739024 -3174444 -13520780 -57203300 -240699600 | -| 98 | Rencontres:Inv | InvBinConv | missing | 1 1 0 -6 -6 30 40 -140 -210 630 1008 -2772 -4620 12012 20592 -51480 -90090 218790 388960 -923780 | -| 99 | Rencontres:Inv | TransNat0 | A178987 | 0 1 2 0 -16 -80 -288 -896 -2560 -6912 -17920 -45056 -110592 -266240 -630784 -1474560 -3407872 | -| 100 | Rencontres:Inv | TransNat1 | missing | 1 2 2 -4 -32 -128 -416 -1216 -3328 -8704 -22016 -54272 -131072 -311296 -729088 -1687552 -3866624 | -| 101 | Rencontres:Inv | TransSqrs | missing | 0 1 4 6 -16 -160 -768 -2912 -9728 -29952 -87040 -242176 -651264 -1703936 -4358144 -10936320 | -| 102 | Rencontres:Inv | PosHalf | missing | 1 1 -3 -27 -135 -567 -2187 -8019 -28431 -98415 -334611 -1121931 -3720087 -12223143 -39858075 | -| 103 | Rencontres:Inv | NegHalf | A060747 | 1 1 -3 5 -7 9 -11 13 -15 17 -19 21 -23 25 -27 29 -31 33 -35 37 -39 41 -43 45 -47 49 -51 53 -55 57 | -| 104 | Rencontres:Inv | DiagRow2 | A025731 | -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 -276 | -| 105 | Rencontres:Inv | DiagRow3 | B007290 | -2 -8 -20 -40 -70 -112 -168 -240 -330 -440 -572 -728 -910 -1120 -1360 -1632 -1938 -2280 -2660 -3080 | -| 106 | Rencontres:Inv | DiagCol1 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | -| 107 | Rencontres:Inv | DiagCol2 | B005564 | 1 0 -6 -20 -45 -84 -140 -216 -315 -440 -594 -780 -1001 -1260 -1560 -1904 -2295 -2736 -3230 -3780 | -| 108 | Rencontres:Inv | DiagCol3 | missing | 1 0 -10 -40 -105 -224 -420 -720 -1155 -1760 -2574 -3640 -5005 -6720 -8840 -11424 -14535 -18240 | -| 109 | Rencontres:Inv | Poly | missing | 1 0 1 -1 1 1 -2 0 2 1 -3 -4 3 3 1 -4 -16 0 8 4 1 -5 -48 -27 16 15 5 1 -6 -128 -162 0 50 24 6 1 -7 | -| 110 | Rencontres:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 111 | Rencontres:Inv | PolyRow2 | A131386 | -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | -| 112 | Rencontres:Inv | PolyRow3 | missing | -2 -4 0 16 50 108 196 320 486 700 968 1296 1690 2156 2700 3328 4046 4860 5776 6800 7938 9196 10580 | -| 113 | Rencontres:Inv | PolyCol2 | missing | 1 2 3 0 -27 -162 -729 -2916 -10935 -39366 -137781 -472392 -1594323 -5314410 -17537553 -57395628 | -| 114 | Rencontres:Inv | PolyCol3 | missing | 1 3 8 16 0 -256 -2048 -12288 -65536 -327680 -1572864 -7340032 -33554432 -150994944 -671088640 | -| 115 | Rencontres:Inv | PolyDiag | B000272 | 1 1 3 16 125 1296 16807 262144 4782969 100000000 2357947691 61917364224 1792160394037 | -| 116 | Rencontres:Inv:Rev | Triangle | missing | 1 1 0 1 0 -1 1 0 -3 -2 1 0 -6 -8 -3 1 0 -10 -20 -15 -4 1 0 -15 -40 -45 -24 -5 1 0 -21 -70 -105 -84 | -| 117 | Rencontres:Inv:Rev | Rev | A055137 | 1 0 1 -1 0 1 -2 -3 0 1 -3 -8 -6 0 1 -4 -15 -20 -10 0 1 -5 -24 -45 -40 -15 0 1 -6 -35 -84 -105 -70 | -| 118 | Rencontres:Inv:Rev | InvRev | A008290 | 1 0 1 1 0 1 2 3 0 1 9 8 6 0 1 44 45 20 10 0 1 265 264 135 40 15 0 1 1854 1855 924 315 70 21 0 1 | -| 119 | Rencontres:Inv:Rev | Acc | missing | 1 1 1 1 1 0 1 1 -2 -4 1 1 -5 -13 -16 1 1 -9 -29 -44 -48 1 1 -14 -54 -99 -123 -128 1 1 -20 -90 -195 | -| 120 | Rencontres:Inv:Rev | AccRev | missing | 1 0 1 -1 -1 0 -2 -5 -5 -4 -3 -11 -17 -17 -16 -4 -19 -39 -49 -49 -48 -5 -29 -74 -114 -129 -129 -128 | -| 121 | Rencontres:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 0 1 0 -1 1 0 -3 1 0 -6 -2 1 0 -10 -8 1 0 -15 -20 -3 1 0 -21 -40 -15 1 0 -28 -70 -45 -4 1 | -| 122 | Rencontres:Inv:Rev | Diffx1 | missing | 1 1 0 1 0 -3 1 0 -9 -8 1 0 -18 -32 -15 1 0 -30 -80 -75 -24 1 0 -45 -160 -225 -144 -35 1 0 -63 -280 | -| 123 | Rencontres:Inv:Rev | RowSum | A159964 | 1 1 0 -4 -16 -48 -128 -320 -768 -1792 -4096 -9216 -20480 -45056 -98304 -212992 -458752 -983040 | -| 124 | Rencontres:Inv:Rev | EvenSum | A097064 | 1 1 0 -2 -8 -24 -64 -160 -384 -896 -2048 -4608 -10240 -22528 -49152 -106496 -229376 -491520 | -| 125 | Rencontres:Inv:Rev | OddSum | B036289 | 0 0 0 -2 -8 -24 -64 -160 -384 -896 -2048 -4608 -10240 -22528 -49152 -106496 -229376 -491520 | -| 126 | Rencontres:Inv:Rev | AltSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 127 | Rencontres:Inv:Rev | DiagSum | missing | 1 1 1 1 0 -2 -7 -17 -37 -75 -146 -276 -511 -931 -1675 -2983 -5268 -9238 -16103 -27925 -48209 -82899 | -| 128 | Rencontres:Inv:Rev | AccSum | missing | 1 2 2 -4 -32 -128 -416 -1216 -3328 -8704 -22016 -54272 -131072 -311296 -729088 -1687552 -3866624 | -| 129 | Rencontres:Inv:Rev | AccRevSum | A127276 | 1 1 -2 -16 -64 -208 -608 -1664 -4352 -11008 -27136 -65536 -155648 -364544 -843776 -1933312 -4390912 | -| 130 | Rencontres:Inv:Rev | RowLcm | missing | 1 1 1 6 24 60 360 420 3360 7560 25200 27720 332640 360360 5045040 5405400 5765760 12252240 | -| 131 | Rencontres:Inv:Rev | RowMax | B191522 | 1 1 1 3 8 20 45 105 224 504 1050 2310 4752 10296 21021 45045 91520 194480 393822 831402 1679600 | -| 132 | Rencontres:Inv:Rev | ColMiddle | missing | 1 1 0 0 -6 -10 -40 -70 -210 -378 -1008 -1848 -4620 -8580 -20592 -38610 -90090 -170170 -388960 | -| 133 | Rencontres:Inv:Rev | CentralE | missing | 1 0 -6 -40 -210 -1008 -4620 -20592 -90090 -388960 -1662804 -7054320 -29745716 -124807200 -521515800 | -| 134 | Rencontres:Inv:Rev | CentralO | missing | 1 0 -10 -70 -378 -1848 -8580 -38610 -170170 -739024 -3174444 -13520780 -57203300 -240699600 | -| 135 | Rencontres:Inv:Rev | ColRight | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 136 | Rencontres:Inv:Rev | BinConv | missing | 1 1 0 -10 -70 -378 -1848 -8580 -38610 -170170 -739024 -3174444 -13520780 -57203300 -240699600 | -| 137 | Rencontres:Inv:Rev | InvBinConv | missing | 1 -1 0 6 -6 -30 40 140 -210 -630 1008 2772 -4620 -12012 20592 51480 -90090 -218790 388960 923780 | -| 138 | Rencontres:Inv:Rev | TransNat0 | A001815 | 0 0 -2 -12 -48 -160 -480 -1344 -3584 -9216 -23040 -56320 -135168 -319488 -745472 -1720320 -3932160 | -| 139 | Rencontres:Inv:Rev | TransNat1 | A127276 | 1 1 -2 -16 -64 -208 -608 -1664 -4352 -11008 -27136 -65536 -155648 -364544 -843776 -1933312 -4390912 | -| 140 | Rencontres:Inv:Rev | TransSqrs | missing | 0 0 -4 -30 -144 -560 -1920 -6048 -17920 -50688 -138240 -366080 -946176 -2396160 -5963776 -14622720 | -| 141 | Rencontres:Inv:Rev | PosHalf | missing | 1 2 3 0 -27 -162 -729 -2916 -10935 -39366 -137781 -472392 -1594323 -5314410 -17537553 -57395628 | -| 142 | Rencontres:Inv:Rev | NegHalf | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | -| 143 | Rencontres:Inv:Rev | DiagRow1 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | -| 144 | Rencontres:Inv:Rev | DiagRow2 | B005564 | 1 0 -6 -20 -45 -84 -140 -216 -315 -440 -594 -780 -1001 -1260 -1560 -1904 -2295 -2736 -3230 -3780 | -| 145 | Rencontres:Inv:Rev | DiagRow3 | missing | 1 0 -10 -40 -105 -224 -420 -720 -1155 -1760 -2574 -3640 -5005 -6720 -8840 -11424 -14535 -18240 | -| 146 | Rencontres:Inv:Rev | DiagCol2 | A025731 | -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 -276 | -| 147 | Rencontres:Inv:Rev | DiagCol3 | B007290 | -2 -8 -20 -40 -70 -112 -168 -240 -330 -440 -572 -728 -910 -1120 -1360 -1632 -1938 -2280 -2660 -3080 | -| 148 | Rencontres:Inv:Rev | Poly | missing | 1 1 1 1 1 1 1 0 1 1 1 -4 -3 1 1 1 -16 -27 -8 1 1 1 -48 -135 -80 -15 1 1 1 -128 -567 -512 -175 -24 1 | -| 149 | Rencontres:Inv:Rev | PolyRow2 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | -| 150 | Rencontres:Inv:Rev | PolyRow3 | B015238 | 1 -4 -27 -80 -175 -324 -539 -832 -1215 -1700 -2299 -3024 -3887 -4900 -6075 -7424 -8959 -10692 | -| 151 | Rencontres:Inv:Rev | PolyCol2 | missing | 1 1 -3 -27 -135 -567 -2187 -8019 -28431 -98415 -334611 -1121931 -3720087 -12223143 -39858075 | -| 152 | Rencontres:Inv:Rev | PolyCol3 | missing | 1 1 -8 -80 -512 -2816 -14336 -69632 -327680 -1507328 -6815744 -30408704 -134217728 -587202560 | -| 153 | Rencontres:Inv:Rev | PolyDiag | missing | 1 1 -3 -80 -1375 -24624 -487403 -10747904 -263063295 -7100000000 -209857344499 -6748992700416 | \ No newline at end of file +| 40 | Rencontres:Alt | Triangle | A008290 | 1 0 -1 1 0 1 2 -3 0 -1 9 -8 6 0 1 44 -45 20 -10 0 -1 265 -264 135 -40 15 0 1 1854 -1855 924 -315 70 | +| 41 | Rencontres:Alt | Rev | A098825 | 1 -1 0 1 0 1 -1 0 -3 2 1 0 6 -8 9 -1 0 -10 20 -45 44 1 0 15 -40 135 -264 265 -1 0 -21 70 -315 924 | +| 42 | Rencontres:Alt | Inv | A055137 | 1 0 1 -1 0 1 -2 3 0 1 -3 8 -6 0 1 -44 75 -20 10 0 1 -165 264 -45 40 -15 0 1 -2274 3815 -924 525 -70 | +| 43 | Rencontres:Alt | RevInv | missing | 1 1 0 1 0 -1 1 0 3 -2 1 0 -6 8 -3 1 0 10 -20 75 -44 1 0 -15 40 -45 264 -165 1 0 21 -70 525 -924 | +| 44 | Rencontres:Alt | Acc | missing | 1 0 -1 1 1 2 2 -1 -1 -2 9 1 7 7 8 44 -1 19 9 9 8 265 1 136 96 111 111 112 1854 -1 923 608 678 657 | +| 45 | Rencontres:Alt | AccRev | missing | 1 -1 -1 1 1 2 -1 -1 -4 -2 1 1 7 -1 8 -1 -1 -11 9 -36 8 1 1 16 -24 111 -153 112 -1 -1 -22 48 -267 | +| 46 | Rencontres:Alt | AntiDiag | missing | 1 0 1 -1 2 0 9 -3 1 44 -8 0 265 -45 6 -1 1854 -264 20 0 14833 -1855 135 -10 1 133496 -14832 924 -40 | +| 47 | Rencontres:Alt | Diffx1 | missing | 1 0 -2 1 0 3 2 -6 0 -4 9 -16 18 0 5 44 -90 60 -40 0 -6 265 -528 405 -160 75 0 7 1854 -3710 2772 | +| 48 | Rencontres:Alt | RowSum | A000023 | 1 -1 2 -2 8 8 112 656 5504 49024 491264 5401856 64826368 842734592 11798300672 176974477312 | +| 49 | Rencontres:Alt | EvenSum | A062282 | 1 0 2 2 16 64 416 2848 22912 205952 2060032 22659328 271913984 3534877696 49488295936 742324422656 | +| 50 | Rencontres:Alt | OddSum | A063083 | 0 -1 0 -4 -8 -56 -304 -2192 -17408 -156928 -1568768 -17257472 -207087616 -2692143104 -37689995264 | +| 51 | Rencontres:Alt | AltSum | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 52 | Rencontres:Alt | DiagSum | A177258 | 1 0 0 2 7 36 225 1610 13104 119548 1208583 13413960 162176105 2121703324 29866022640 450112042926 | +| 53 | Rencontres:Alt | AccSum | missing | 1 -1 4 -2 32 88 832 6032 54784 539776 5894144 70226176 907565056 12641027072 188772794368 | +| 54 | Rencontres:Alt | AccRevSum | A000079 | 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 -524288 | +| 55 | Rencontres:Alt | RowLcm | missing | 1 1 1 6 72 1980 629640 75661740 1282617816480 4377895262100360 721520918146760331600 | +| 56 | Rencontres:Alt | RowMax | A174318 | 1 1 1 3 9 45 265 1855 14833 133497 1334961 14684571 176214841 2290792933 32071101049 481066515735 | +| 57 | Rencontres:Alt | ColMiddle | missing | 1 0 0 -3 6 20 -40 -315 630 5544 -11088 -122430 244860 3181464 -6362928 -95450355 190900710 | +| 58 | Rencontres:Alt | CentralE | A281262 | 1 0 6 -40 630 -11088 244860 -6362928 190900710 -6490575520 246642054516 -10358965584240 | +| 59 | Rencontres:Alt | CentralO | missing | 0 -3 20 -315 5544 -122430 3181464 -95450355 3245287760 -123321027258 5179482792120 -238256209789598 | +| 60 | Rencontres:Alt | ColLeft | A000166 | 1 0 1 2 9 44 265 1854 14833 133496 1334961 14684570 176214841 2290792932 32071101049 481066515734 | +| 61 | Rencontres:Alt | BinConv | missing | 1 -1 2 -8 14 -82 132 -744 4566 33442 587036 6952064 87792652 1082005052 13392493064 162520998480 | +| 62 | Rencontres:Alt | InvBinConv | missing | 1 -1 2 -12 78 -570 4900 -48160 530390 -6464430 86327388 -1252761048 19620649356 -329739285876 | +| 63 | Rencontres:Alt | TransNat0 | A335111 | 0 -1 2 -6 8 -40 -48 -784 -5248 -49536 -490240 -5403904 -64822272 -842742784 -11798284288 | +| 64 | Rencontres:Alt | TransNat1 | A000079 | 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 -524288 | +| 65 | Rencontres:Alt | TransSqrs | A001787 | 0 -1 4 -12 32 -80 192 -448 1024 -2304 5120 -11264 24576 -53248 114688 -245760 524288 -1114112 | +| 66 | Rencontres:Alt | PosHalf | A343582 | 1 -1 5 3 105 807 10413 143595 2304081 41453775 829134549 18240782931 437779321785 11382260772087 | +| 67 | Rencontres:Alt | NegHalf | A000354 | 1 -1 5 -29 233 -2329 27949 -391285 6260561 -112690097 2253801941 -49583642701 1190007424825 | +| 68 | Rencontres:Alt | DiagRow2 | A025731 | 1 -3 6 -10 15 -21 28 -36 45 -55 66 -78 91 -105 120 -136 153 -171 190 -210 231 -253 276 -300 325 | +| 69 | Rencontres:Alt | DiagRow3 | B007290 | 2 -8 20 -40 70 -112 168 -240 330 -440 572 -728 910 -1120 1360 -1632 1938 -2280 2660 -3080 3542 | +| 70 | Rencontres:Alt | DiagCol1 | A000240 | -1 0 -3 -8 -45 -264 -1855 -14832 -133497 -1334960 -14684571 -176214840 -2290792933 -32071101048 | +| 71 | Rencontres:Alt | DiagCol2 | B000387 | 1 0 6 20 135 924 7420 66744 667485 7342280 88107426 1145396460 16035550531 240533257860 | +| 72 | Rencontres:Alt | DiagCol3 | A000449 | -1 0 -10 -40 -315 -2464 -22260 -222480 -2447445 -29369120 -381798846 -5345183480 -80177752655 | +| 73 | Rencontres:Alt | Poly | missing | 1 0 1 1 -1 1 2 2 -2 1 9 -2 5 -3 1 44 8 -12 10 -4 1 265 8 33 -34 17 -5 1 1854 112 -78 120 -74 26 -6 | +| 74 | Rencontres:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | Rencontres:Alt | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 76 | Rencontres:Alt | PolyRow3 | missing | 2 -2 -12 -34 -74 -138 -232 -362 -534 -754 -1028 -1362 -1762 -2234 -2784 -3418 -4142 -4962 -5884 | +| 77 | Rencontres:Alt | PolyCol2 | A010843 | 1 -2 5 -12 33 -78 261 -360 3681 13446 193509 1951452 23948865 309740922 4341155877 65102989248 | +| 78 | Rencontres:Alt | PolyCol3 | missing | 1 -3 10 -34 120 -424 1552 -5520 21376 -69760 350976 -333568 12774400 98958336 1653852160 | +| 79 | Rencontres:Alt | PolyDiag | B133297 | 1 -1 5 -34 329 -4056 60997 -1082320 22137201 -512801920 13269953861 -379400765184 11877265764025 | +| 80 | Rencontres:Rev | Triangle | A098825 | 1 1 0 1 0 1 1 0 3 2 1 0 6 8 9 1 0 10 20 45 44 1 0 15 40 135 264 265 1 0 21 70 315 924 1855 1854 1 0 | +| 81 | Rencontres:Rev | InvRev | A055137 | 1 0 1 -1 0 1 -2 -3 0 1 -3 -8 -6 0 1 -4 -15 -20 -10 0 1 -5 -24 -45 -40 -15 0 1 -6 -35 -84 -105 -70 | +| 82 | Rencontres:Rev | Acc | missing | 1 1 1 1 1 2 1 1 4 6 1 1 7 15 24 1 1 11 31 76 120 1 1 16 56 191 455 720 1 1 22 92 407 1331 3186 5040 | +| 83 | Rencontres:Rev | AccRev | missing | 1 0 1 1 1 2 2 5 5 6 9 17 23 23 24 44 89 109 119 119 120 265 529 664 704 719 719 720 1854 3709 4633 | +| 84 | Rencontres:Rev | AntiDiag | missing | 1 1 1 0 1 0 1 0 1 1 0 3 1 0 6 2 1 0 10 8 1 0 15 20 9 1 0 21 40 45 1 0 28 70 135 44 1 0 36 112 315 | +| 85 | Rencontres:Rev | Diffx1 | missing | 1 1 0 1 0 3 1 0 9 8 1 0 18 32 45 1 0 30 80 225 264 1 0 45 160 675 1584 1855 1 0 63 280 1575 5544 | +| 86 | Rencontres:Rev | RowSum | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 87 | Rencontres:Rev | EvenSum | missing | 1 1 2 4 16 56 416 2192 22912 156928 2060032 17257472 271913984 2692143104 49488295936 565349945344 | +| 88 | Rencontres:Rev | OddSum | missing | 0 0 0 2 8 64 304 2848 17408 205952 1568768 22659328 207087616 3534877696 37689995264 742324422656 | +| 89 | Rencontres:Rev | AltSum | A000023 | 1 1 2 2 8 -8 112 -656 5504 -49024 491264 -5401856 64826368 -842734592 11798300672 -176974477312 | +| 90 | Rencontres:Rev | DiagSum | missing | 1 1 1 1 2 4 9 19 45 107 278 728 2033 5749 17105 51669 162674 520524 1724329 5807143 20146861 | +| 91 | Rencontres:Rev | AccSum | A098558 | 1 2 4 12 48 240 1440 10080 80640 725760 7257600 79833600 958003200 12454041600 174356582400 | +| 92 | Rencontres:Rev | AccRevSum | A094258 | 1 1 4 18 96 600 4320 35280 322560 3265920 36288000 439084800 5748019200 80951270400 1220496076800 | +| 93 | Rencontres:Rev | RowLcm | missing | 1 1 1 6 72 1980 629640 75661740 1282617816480 4377895262100360 721520918146760331600 | +| 94 | Rencontres:Rev | RowMax | A174318 | 1 1 1 3 9 45 265 1855 14833 133497 1334961 14684571 176214841 2290792933 32071101049 481066515735 | +| 95 | Rencontres:Rev | ColMiddle | missing | 1 1 0 0 6 10 40 70 630 1134 11088 20328 244860 454740 6362928 11930490 190900710 360590230 | +| 96 | Rencontres:Rev | CentralE | A281262 | 1 0 6 40 630 11088 244860 6362928 190900710 6490575520 246642054516 10358965584240 476512419579196 | +| 97 | Rencontres:Rev | CentralO | missing | 1 0 10 70 1134 20328 454740 11930490 360590230 12332093488 470862104076 19854684036460 | +| 98 | Rencontres:Rev | ColRight | A000166 | 1 0 1 2 9 44 265 1854 14833 133496 1334961 14684570 176214841 2290792932 32071101049 481066515734 | +| 99 | Rencontres:Rev | BinConv | missing | 1 1 2 12 78 570 4900 48160 530390 6464430 86327388 1252761048 19620649356 329739285876 | +| 100 | Rencontres:Rev | InvBinConv | missing | 1 -1 2 -8 14 -82 132 -744 4566 33442 587036 6952064 87792652 1082005052 13392493064 162520998480 | +| 101 | Rencontres:Rev | TransNat0 | A062119 | 0 0 2 12 72 480 3600 30240 282240 2903040 32659200 399168000 5269017600 74724249600 1133317785600 | +| 102 | Rencontres:Rev | TransNat1 | A094258 | 1 1 4 18 96 600 4320 35280 322560 3265920 36288000 439084800 5748019200 80951270400 1220496076800 | +| 103 | Rencontres:Rev | TransSqrs | missing | 0 0 4 30 240 2040 18720 186480 2016000 23587200 297561600 4031596800 58438195200 902918016000 | +| 104 | Rencontres:Rev | PosHalf | A000522 | 1 2 5 16 65 326 1957 13700 109601 986410 9864101 108505112 1302061345 16926797486 236975164805 | +| 105 | Rencontres:Rev | NegHalf | A010843 | 1 -2 5 -12 33 -78 261 -360 3681 13446 193509 1951452 23948865 309740922 4341155877 65102989248 | +| 106 | Rencontres:Rev | DiagRow1 | A000240 | 1 0 3 8 45 264 1855 14832 133497 1334960 14684571 176214840 2290792933 32071101048 481066515735 | +| 107 | Rencontres:Rev | DiagRow2 | B000387 | 1 0 6 20 135 924 7420 66744 667485 7342280 88107426 1145396460 16035550531 240533257860 | +| 108 | Rencontres:Rev | DiagRow3 | A000449 | 1 0 10 40 315 2464 22260 222480 2447445 29369120 381798846 5345183480 80177752655 1282844041920 | +| 109 | Rencontres:Rev | DiagCol2 | A025731 | 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 435 | +| 110 | Rencontres:Rev | DiagCol3 | B007290 | 2 8 20 40 70 112 168 240 330 440 572 728 910 1120 1360 1632 1938 2280 2660 3080 3542 4048 4600 5200 | +| 111 | Rencontres:Rev | Poly | missing | 1 1 1 1 1 1 1 2 1 1 1 6 5 1 1 1 24 29 10 1 1 1 120 233 82 17 1 1 1 720 2329 1000 177 26 1 1 1 5040 | +| 112 | Rencontres:Rev | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 113 | Rencontres:Rev | PolyRow3 | missing | 1 6 29 82 177 326 541 834 1217 1702 2301 3026 3889 4902 6077 7426 8961 10694 12637 14802 17201 | +| 114 | Rencontres:Rev | PolyCol2 | A000354 | 1 1 5 29 233 2329 27949 391285 6260561 112690097 2253801941 49583642701 1190007424825 | +| 115 | Rencontres:Rev | PolyCol3 | missing | 1 1 10 82 1000 14968 269488 5659120 135819136 3667116160 110013485824 3630445030144 130696021089280 | +| 116 | Rencontres:Rev | PolyDiag | missing | 1 1 5 82 2913 168376 14600845 1761398640 281989891841 57797093005696 14753600077944501 | +| 117 | Rencontres:Inv | Triangle | A055137 | 1 0 1 -1 0 1 -2 -3 0 1 -3 -8 -6 0 1 -4 -15 -20 -10 0 1 -5 -24 -45 -40 -15 0 1 -6 -35 -84 -105 -70 | +| 118 | Rencontres:Inv | Rev | missing | 1 1 0 1 0 -1 1 0 -3 -2 1 0 -6 -8 -3 1 0 -10 -20 -15 -4 1 0 -15 -40 -45 -24 -5 1 0 -21 -70 -105 -84 | +| 119 | Rencontres:Inv | RevInv | A098825 | 1 1 0 1 0 1 1 0 3 2 1 0 6 8 9 1 0 10 20 45 44 1 0 15 40 135 264 265 1 0 21 70 315 924 1855 1854 1 0 | +| 120 | Rencontres:Inv | Acc | missing | 1 0 1 -1 -1 0 -2 -5 -5 -4 -3 -11 -17 -17 -16 -4 -19 -39 -49 -49 -48 -5 -29 -74 -114 -129 -129 -128 | +| 121 | Rencontres:Inv | AccRev | missing | 1 1 1 1 1 0 1 1 -2 -4 1 1 -5 -13 -16 1 1 -9 -29 -44 -48 1 1 -14 -54 -99 -123 -128 1 1 -20 -90 -195 | +| 122 | Rencontres:Inv | AntiDiag | missing | 1 0 -1 1 -2 0 -3 -3 1 -4 -8 0 -5 -15 -6 1 -6 -24 -20 0 -7 -35 -45 -10 1 -8 -48 -84 -40 0 -9 -63 | +| 123 | Rencontres:Inv | Diffx1 | missing | 1 0 2 -1 0 3 -2 -6 0 4 -3 -16 -18 0 5 -4 -30 -60 -40 0 6 -5 -48 -135 -160 -75 0 7 -6 -70 -252 -420 | +| 124 | Rencontres:Inv | RowSum | A159964 | 1 1 0 -4 -16 -48 -128 -320 -768 -1792 -4096 -9216 -20480 -45056 -98304 -212992 -458752 -983040 | +| 125 | Rencontres:Inv | EvenSum | B036289 | 1 0 0 -2 -8 -24 -64 -160 -384 -896 -2048 -4608 -10240 -22528 -49152 -106496 -229376 -491520 | +| 126 | Rencontres:Inv | OddSum | A097064 | 0 1 0 -2 -8 -24 -64 -160 -384 -896 -2048 -4608 -10240 -22528 -49152 -106496 -229376 -491520 | +| 127 | Rencontres:Inv | AltSum | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 128 | Rencontres:Inv | DiagSum | B240847 | 1 0 0 -2 -5 -12 -25 -50 -96 -180 -331 -600 -1075 -1908 -3360 -5878 -10225 -17700 -30509 -52390 | +| 129 | Rencontres:Inv | AccSum | A127276 | 1 1 -2 -16 -64 -208 -608 -1664 -4352 -11008 -27136 -65536 -155648 -364544 -843776 -1933312 -4390912 | +| 130 | Rencontres:Inv | AccRevSum | missing | 1 2 2 -4 -32 -128 -416 -1216 -3328 -8704 -22016 -54272 -131072 -311296 -729088 -1687552 -3866624 | +| 131 | Rencontres:Inv | RowLcm | missing | 1 1 1 6 24 60 360 420 3360 7560 25200 27720 332640 360360 5045040 5405400 5765760 12252240 | +| 132 | Rencontres:Inv | RowMax | B191522 | 1 1 1 3 8 20 45 105 224 504 1050 2310 4752 10296 21021 45045 91520 194480 393822 831402 1679600 | +| 133 | Rencontres:Inv | ColMiddle | missing | 1 0 0 -3 -6 -20 -40 -105 -210 -504 -1008 -2310 -4620 -10296 -20592 -45045 -90090 -194480 -388960 | +| 134 | Rencontres:Inv | CentralE | missing | 1 0 -6 -40 -210 -1008 -4620 -20592 -90090 -388960 -1662804 -7054320 -29745716 -124807200 -521515800 | +| 135 | Rencontres:Inv | CentralO | A000917 | 0 -3 -20 -105 -504 -2310 -10296 -45045 -194480 -831402 -3527160 -14872858 -62403600 -260757900 | +| 136 | Rencontres:Inv | ColLeft | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 137 | Rencontres:Inv | BinConv | missing | 1 1 0 -10 -70 -378 -1848 -8580 -38610 -170170 -739024 -3174444 -13520780 -57203300 -240699600 | +| 138 | Rencontres:Inv | InvBinConv | missing | 1 1 0 -6 -6 30 40 -140 -210 630 1008 -2772 -4620 12012 20592 -51480 -90090 218790 388960 -923780 | +| 139 | Rencontres:Inv | TransNat0 | A178987 | 0 1 2 0 -16 -80 -288 -896 -2560 -6912 -17920 -45056 -110592 -266240 -630784 -1474560 -3407872 | +| 140 | Rencontres:Inv | TransNat1 | missing | 1 2 2 -4 -32 -128 -416 -1216 -3328 -8704 -22016 -54272 -131072 -311296 -729088 -1687552 -3866624 | +| 141 | Rencontres:Inv | TransSqrs | missing | 0 1 4 6 -16 -160 -768 -2912 -9728 -29952 -87040 -242176 -651264 -1703936 -4358144 -10936320 | +| 142 | Rencontres:Inv | PosHalf | missing | 1 1 -3 -27 -135 -567 -2187 -8019 -28431 -98415 -334611 -1121931 -3720087 -12223143 -39858075 | +| 143 | Rencontres:Inv | NegHalf | A060747 | 1 1 -3 5 -7 9 -11 13 -15 17 -19 21 -23 25 -27 29 -31 33 -35 37 -39 41 -43 45 -47 49 -51 53 -55 57 | +| 144 | Rencontres:Inv | DiagRow2 | A025731 | -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 -276 | +| 145 | Rencontres:Inv | DiagRow3 | B007290 | -2 -8 -20 -40 -70 -112 -168 -240 -330 -440 -572 -728 -910 -1120 -1360 -1632 -1938 -2280 -2660 -3080 | +| 146 | Rencontres:Inv | DiagCol1 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | +| 147 | Rencontres:Inv | DiagCol2 | B005564 | 1 0 -6 -20 -45 -84 -140 -216 -315 -440 -594 -780 -1001 -1260 -1560 -1904 -2295 -2736 -3230 -3780 | +| 148 | Rencontres:Inv | DiagCol3 | missing | 1 0 -10 -40 -105 -224 -420 -720 -1155 -1760 -2574 -3640 -5005 -6720 -8840 -11424 -14535 -18240 | +| 149 | Rencontres:Inv | Poly | missing | 1 0 1 -1 1 1 -2 0 2 1 -3 -4 3 3 1 -4 -16 0 8 4 1 -5 -48 -27 16 15 5 1 -6 -128 -162 0 50 24 6 1 -7 | +| 150 | Rencontres:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 151 | Rencontres:Inv | PolyRow2 | A131386 | -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 152 | Rencontres:Inv | PolyRow3 | missing | -2 -4 0 16 50 108 196 320 486 700 968 1296 1690 2156 2700 3328 4046 4860 5776 6800 7938 9196 10580 | +| 153 | Rencontres:Inv | PolyCol2 | missing | 1 2 3 0 -27 -162 -729 -2916 -10935 -39366 -137781 -472392 -1594323 -5314410 -17537553 -57395628 | +| 154 | Rencontres:Inv | PolyCol3 | missing | 1 3 8 16 0 -256 -2048 -12288 -65536 -327680 -1572864 -7340032 -33554432 -150994944 -671088640 | +| 155 | Rencontres:Inv | PolyDiag | B000272 | 1 1 3 16 125 1296 16807 262144 4782969 100000000 2357947691 61917364224 1792160394037 | +| 156 | Rencontres:Inv:Rev | Triangle | missing | 1 1 0 1 0 -1 1 0 -3 -2 1 0 -6 -8 -3 1 0 -10 -20 -15 -4 1 0 -15 -40 -45 -24 -5 1 0 -21 -70 -105 -84 | +| 157 | Rencontres:Inv:Rev | Rev | A055137 | 1 0 1 -1 0 1 -2 -3 0 1 -3 -8 -6 0 1 -4 -15 -20 -10 0 1 -5 -24 -45 -40 -15 0 1 -6 -35 -84 -105 -70 | +| 158 | Rencontres:Inv:Rev | InvRev | A008290 | 1 0 1 1 0 1 2 3 0 1 9 8 6 0 1 44 45 20 10 0 1 265 264 135 40 15 0 1 1854 1855 924 315 70 21 0 1 | +| 159 | Rencontres:Inv:Rev | Acc | missing | 1 1 1 1 1 0 1 1 -2 -4 1 1 -5 -13 -16 1 1 -9 -29 -44 -48 1 1 -14 -54 -99 -123 -128 1 1 -20 -90 -195 | +| 160 | Rencontres:Inv:Rev | AccRev | missing | 1 0 1 -1 -1 0 -2 -5 -5 -4 -3 -11 -17 -17 -16 -4 -19 -39 -49 -49 -48 -5 -29 -74 -114 -129 -129 -128 | +| 161 | Rencontres:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 0 1 0 -1 1 0 -3 1 0 -6 -2 1 0 -10 -8 1 0 -15 -20 -3 1 0 -21 -40 -15 1 0 -28 -70 -45 -4 1 | +| 162 | Rencontres:Inv:Rev | Diffx1 | missing | 1 1 0 1 0 -3 1 0 -9 -8 1 0 -18 -32 -15 1 0 -30 -80 -75 -24 1 0 -45 -160 -225 -144 -35 1 0 -63 -280 | +| 163 | Rencontres:Inv:Rev | RowSum | A159964 | 1 1 0 -4 -16 -48 -128 -320 -768 -1792 -4096 -9216 -20480 -45056 -98304 -212992 -458752 -983040 | +| 164 | Rencontres:Inv:Rev | EvenSum | A097064 | 1 1 0 -2 -8 -24 -64 -160 -384 -896 -2048 -4608 -10240 -22528 -49152 -106496 -229376 -491520 | +| 165 | Rencontres:Inv:Rev | OddSum | B036289 | 0 0 0 -2 -8 -24 -64 -160 -384 -896 -2048 -4608 -10240 -22528 -49152 -106496 -229376 -491520 | +| 166 | Rencontres:Inv:Rev | AltSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 167 | Rencontres:Inv:Rev | DiagSum | missing | 1 1 1 1 0 -2 -7 -17 -37 -75 -146 -276 -511 -931 -1675 -2983 -5268 -9238 -16103 -27925 -48209 -82899 | +| 168 | Rencontres:Inv:Rev | AccSum | missing | 1 2 2 -4 -32 -128 -416 -1216 -3328 -8704 -22016 -54272 -131072 -311296 -729088 -1687552 -3866624 | +| 169 | Rencontres:Inv:Rev | AccRevSum | A127276 | 1 1 -2 -16 -64 -208 -608 -1664 -4352 -11008 -27136 -65536 -155648 -364544 -843776 -1933312 -4390912 | +| 170 | Rencontres:Inv:Rev | RowLcm | missing | 1 1 1 6 24 60 360 420 3360 7560 25200 27720 332640 360360 5045040 5405400 5765760 12252240 | +| 171 | Rencontres:Inv:Rev | RowMax | B191522 | 1 1 1 3 8 20 45 105 224 504 1050 2310 4752 10296 21021 45045 91520 194480 393822 831402 1679600 | +| 172 | Rencontres:Inv:Rev | ColMiddle | missing | 1 1 0 0 -6 -10 -40 -70 -210 -378 -1008 -1848 -4620 -8580 -20592 -38610 -90090 -170170 -388960 | +| 173 | Rencontres:Inv:Rev | CentralE | missing | 1 0 -6 -40 -210 -1008 -4620 -20592 -90090 -388960 -1662804 -7054320 -29745716 -124807200 -521515800 | +| 174 | Rencontres:Inv:Rev | CentralO | missing | 1 0 -10 -70 -378 -1848 -8580 -38610 -170170 -739024 -3174444 -13520780 -57203300 -240699600 | +| 175 | Rencontres:Inv:Rev | ColRight | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 176 | Rencontres:Inv:Rev | BinConv | missing | 1 1 0 -10 -70 -378 -1848 -8580 -38610 -170170 -739024 -3174444 -13520780 -57203300 -240699600 | +| 177 | Rencontres:Inv:Rev | InvBinConv | missing | 1 -1 0 6 -6 -30 40 140 -210 -630 1008 2772 -4620 -12012 20592 51480 -90090 -218790 388960 923780 | +| 178 | Rencontres:Inv:Rev | TransNat0 | A001815 | 0 0 -2 -12 -48 -160 -480 -1344 -3584 -9216 -23040 -56320 -135168 -319488 -745472 -1720320 -3932160 | +| 179 | Rencontres:Inv:Rev | TransNat1 | A127276 | 1 1 -2 -16 -64 -208 -608 -1664 -4352 -11008 -27136 -65536 -155648 -364544 -843776 -1933312 -4390912 | +| 180 | Rencontres:Inv:Rev | TransSqrs | missing | 0 0 -4 -30 -144 -560 -1920 -6048 -17920 -50688 -138240 -366080 -946176 -2396160 -5963776 -14622720 | +| 181 | Rencontres:Inv:Rev | PosHalf | missing | 1 2 3 0 -27 -162 -729 -2916 -10935 -39366 -137781 -472392 -1594323 -5314410 -17537553 -57395628 | +| 182 | Rencontres:Inv:Rev | NegHalf | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 183 | Rencontres:Inv:Rev | DiagRow1 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | +| 184 | Rencontres:Inv:Rev | DiagRow2 | B005564 | 1 0 -6 -20 -45 -84 -140 -216 -315 -440 -594 -780 -1001 -1260 -1560 -1904 -2295 -2736 -3230 -3780 | +| 185 | Rencontres:Inv:Rev | DiagRow3 | missing | 1 0 -10 -40 -105 -224 -420 -720 -1155 -1760 -2574 -3640 -5005 -6720 -8840 -11424 -14535 -18240 | +| 186 | Rencontres:Inv:Rev | DiagCol2 | A025731 | -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 -276 | +| 187 | Rencontres:Inv:Rev | DiagCol3 | B007290 | -2 -8 -20 -40 -70 -112 -168 -240 -330 -440 -572 -728 -910 -1120 -1360 -1632 -1938 -2280 -2660 -3080 | +| 188 | Rencontres:Inv:Rev | Poly | missing | 1 1 1 1 1 1 1 0 1 1 1 -4 -3 1 1 1 -16 -27 -8 1 1 1 -48 -135 -80 -15 1 1 1 -128 -567 -512 -175 -24 1 | +| 189 | Rencontres:Inv:Rev | PolyRow2 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | +| 190 | Rencontres:Inv:Rev | PolyRow3 | B015238 | 1 -4 -27 -80 -175 -324 -539 -832 -1215 -1700 -2299 -3024 -3887 -4900 -6075 -7424 -8959 -10692 | +| 191 | Rencontres:Inv:Rev | PolyCol2 | missing | 1 1 -3 -27 -135 -567 -2187 -8019 -28431 -98415 -334611 -1121931 -3720087 -12223143 -39858075 | +| 192 | Rencontres:Inv:Rev | PolyCol3 | missing | 1 1 -8 -80 -512 -2816 -14336 -69632 -327680 -1507328 -6815744 -30408704 -134217728 -587202560 | +| 193 | Rencontres:Inv:Rev | PolyDiag | missing | 1 1 -3 -80 -1375 -24624 -487403 -10747904 -263063295 -7100000000 -209857344499 -6748992700416 | \ No newline at end of file diff --git a/data/md/RisingFact.md b/data/md/RisingFact.md index 74d95c5..b7b1b9f 100644 --- a/data/md/RisingFact.md +++ b/data/md/RisingFact.md @@ -1,159 +1,167 @@ | | triangle | trait | anum | seq | |----:|:-------------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | RisingFact:Std | Triangle | A094587 | 1 1 1 2 2 1 6 6 3 1 24 24 12 4 1 120 120 60 20 5 1 720 720 360 120 30 6 1 5040 5040 2520 840 210 42 | -| 1 | RisingFact:Std | Rev | A008279 | 1 1 1 1 2 2 1 3 6 6 1 4 12 24 24 1 5 20 60 120 120 1 6 30 120 360 720 720 1 7 42 210 840 2520 5040 | -| 2 | RisingFact:Std | Inv | A128229 | 1 -1 1 0 -2 1 0 0 -3 1 0 0 0 -4 1 0 0 0 0 -5 1 0 0 0 0 0 -6 1 0 0 0 0 0 0 -7 1 0 0 0 0 0 0 0 -8 1 0 | -| 3 | RisingFact:Std | RevInv | A158821 | 1 1 -1 1 -2 0 1 -3 0 0 1 -4 0 0 0 1 -5 0 0 0 0 1 -6 0 0 0 0 0 1 -7 0 0 0 0 0 0 1 -8 0 0 0 0 0 0 0 1 | -| 4 | RisingFact:Std | Acc | missing | 1 1 2 2 4 5 6 12 15 16 24 48 60 64 65 120 240 300 320 325 326 720 1440 1800 1920 1950 1956 1957 | -| 5 | RisingFact:Std | AccRev | A347667 | 1 1 2 1 3 5 1 4 10 16 1 5 17 41 65 1 6 26 86 206 326 1 7 37 157 517 1237 1957 1 8 50 260 1100 3620 | -| 6 | RisingFact:Std | AntiDiag | missing | 1 1 2 1 6 2 24 6 1 120 24 3 720 120 12 1 5040 720 60 4 40320 5040 360 20 1 362880 40320 2520 120 5 | -| 7 | RisingFact:Std | Diffx1 | missing | 1 1 2 2 4 3 6 12 9 4 24 48 36 16 5 120 240 180 80 25 6 720 1440 1080 480 150 36 7 5040 10080 7560 | -| 8 | RisingFact:Std | RowSum | A000522 | 1 2 5 16 65 326 1957 13700 109601 986410 9864101 108505112 1302061345 16926797486 236975164805 | -| 9 | RisingFact:Std | EvenSum | A009179 | 1 1 3 9 37 185 1111 7777 62217 559953 5599531 61594841 739138093 9608795209 134523132927 | -| 10 | RisingFact:Std | OddSum | A009628 | 0 1 2 7 28 141 846 5923 47384 426457 4264570 46910271 562923252 7318002277 102452031878 | -| 11 | RisingFact:Std | AltSum | A000166 | 1 0 1 2 9 44 265 1854 14833 133496 1334961 14684570 176214841 2290792932 32071101049 481066515734 | -| 12 | RisingFact:Std | DiagSum | A003470 | 1 1 3 8 31 147 853 5824 45741 405845 4012711 43733976 520795003 6726601063 93651619881 | -| 13 | RisingFact:Std | AccSum | A001339 | 1 3 11 49 261 1631 11743 95901 876809 8877691 98641011 1193556233 15624736141 220048367319 | -| 14 | RisingFact:Std | AccRevSum | B111063 | 1 3 9 31 129 651 3913 27399 219201 1972819 19728201 217010223 2604122689 33853594971 473950329609 | -| 15 | RisingFact:Std | RowLcm | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 16 | RisingFact:Std | RowGcd | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 17 | RisingFact:Std | RowMax | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 18 | RisingFact:Std | ColMiddle | A081125 | 1 1 2 6 12 60 120 840 1680 15120 30240 332640 665280 8648640 17297280 259459200 518918400 | -| 19 | RisingFact:Std | CentralE | A001813 | 1 2 12 120 1680 30240 665280 17297280 518918400 17643225600 670442572800 28158588057600 | -| 20 | RisingFact:Std | CentralO | A000407 | 1 6 60 840 15120 332640 8648640 259459200 8821612800 335221286400 14079294028800 647647525324800 | -| 21 | RisingFact:Std | ColLeft | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 22 | RisingFact:Std | BinConv | A002720 | 1 2 7 34 209 1546 13327 130922 1441729 17572114 234662231 3405357682 53334454417 896324308634 | -| 23 | RisingFact:Std | InvBinConv | A009940 | 1 0 -1 4 -15 56 -185 204 6209 -112400 1520271 -19165420 237686449 -2944654296 36392001815 | -| 24 | RisingFact:Std | TransNat0 | A007526 | 0 1 4 15 64 325 1956 13699 109600 986409 9864100 108505111 1302061344 16926797485 236975164804 | -| 25 | RisingFact:Std | TransNat1 | B111063 | 1 3 9 31 129 651 3913 27399 219201 1972819 19728201 217010223 2604122689 33853594971 473950329609 | -| 26 | RisingFact:Std | TransSqrs | A030297 | 0 1 6 27 124 645 3906 27391 219192 1972809 19728190 217010211 2604122676 33853594957 473950329594 | -| 27 | RisingFact:Std | PosHalf | A010844 | 1 3 13 79 633 6331 75973 1063623 17017969 306323443 6126468861 134782314943 3234775558633 | -| 28 | RisingFact:Std | NegHalf | A000354 | 1 -1 5 -29 233 -2329 27949 -391285 6260561 -112690097 2253801941 -49583642701 1190007424825 | -| 29 | RisingFact:Std | DiagRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 30 | RisingFact:Std | DiagRow2 | B002378 | 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | -| 31 | RisingFact:Std | DiagRow3 | A331433 | 6 24 60 120 210 336 504 720 990 1320 1716 2184 2730 3360 4080 4896 5814 6840 7980 9240 10626 12144 | -| 32 | RisingFact:Std | DiagCol1 | B000142 | 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000 | -| 33 | RisingFact:Std | DiagCol2 | B001710 | 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 3113510400 43589145600 653837184000 | -| 34 | RisingFact:Std | DiagCol3 | A001715 | 1 4 20 120 840 6720 60480 604800 6652800 79833600 1037836800 14529715200 217945728000 3487131648000 | -| 35 | RisingFact:Std | Poly | A134558 | 1 1 1 2 2 1 6 5 3 1 24 16 10 4 1 120 65 38 17 5 1 720 326 168 78 26 6 1 5040 1957 872 393 142 37 7 | -| 36 | RisingFact:Std | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 37 | RisingFact:Std | PolyRow2 | B002522 | 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 38 | RisingFact:Std | PolyRow3 | missing | 6 16 38 78 142 236 366 538 758 1032 1366 1766 2238 2788 3422 4146 4966 5888 6918 8062 9326 10716 | -| 39 | RisingFact:Std | PolyCol2 | A010842 | 1 3 10 38 168 872 5296 37200 297856 2681216 26813184 294947072 3539368960 46011804672 644165281792 | -| 40 | RisingFact:Std | PolyCol3 | A053486 | 1 4 17 78 393 2208 13977 100026 806769 7280604 72865089 801693126 9620848953 125072630712 | -| 41 | RisingFact:Std | PolyDiag | A063170 | 1 2 10 78 824 10970 176112 3309110 71219584 1727242866 46602156800 1384438376222 44902138752000 | -| 42 | RisingFact:Rev | Triangle | A008279 | 1 1 1 1 2 2 1 3 6 6 1 4 12 24 24 1 5 20 60 120 120 1 6 30 120 360 720 720 1 7 42 210 840 2520 5040 | -| 43 | RisingFact:Rev | InvRev | A128229 | 1 -1 1 0 -2 1 0 0 -3 1 0 0 0 -4 1 0 0 0 0 -5 1 0 0 0 0 0 -6 1 0 0 0 0 0 0 -7 1 0 0 0 0 0 0 0 -8 1 0 | -| 44 | RisingFact:Rev | Acc | A347667 | 1 1 2 1 3 5 1 4 10 16 1 5 17 41 65 1 6 26 86 206 326 1 7 37 157 517 1237 1957 1 8 50 260 1100 3620 | -| 45 | RisingFact:Rev | AccRev | missing | 1 1 2 2 4 5 6 12 15 16 24 48 60 64 65 120 240 300 320 325 326 720 1440 1800 1920 1950 1956 1957 | -| 46 | RisingFact:Rev | AntiDiag | A344391 | 1 1 1 1 1 2 1 3 2 1 4 6 1 5 12 6 1 6 20 24 1 7 30 60 24 1 8 42 120 120 1 9 56 210 360 120 1 10 72 | -| 47 | RisingFact:Rev | Diffx1 | A121757 | 1 1 2 1 4 6 1 6 18 24 1 8 36 96 120 1 10 60 240 600 720 1 12 90 480 1800 4320 5040 1 14 126 840 | -| 48 | RisingFact:Rev | RowSum | A000522 | 1 2 5 16 65 326 1957 13700 109601 986410 9864101 108505112 1302061345 16926797486 236975164805 | -| 49 | RisingFact:Rev | EvenSum | A087208 | 1 1 3 7 37 141 1111 5923 62217 426457 5599531 46910271 739138093 7318002277 134523132927 | -| 50 | RisingFact:Rev | OddSum | A002747 | 0 1 2 9 28 185 846 7777 47384 559953 4264570 61594841 562923252 9608795209 102452031878 | -| 51 | RisingFact:Rev | AltSum | A000166 | 1 0 1 -2 9 -44 265 -1854 14833 -133496 1334961 -14684570 176214841 -2290792932 32071101049 | -| 52 | RisingFact:Rev | DiagSum | A122852 | 1 1 2 3 6 11 24 51 122 291 756 1979 5526 15627 46496 140451 442194 1414931 4687212 15785451 | -| 53 | RisingFact:Rev | AccSum | B111063 | 1 3 9 31 129 651 3913 27399 219201 1972819 19728201 217010223 2604122689 33853594971 473950329609 | -| 54 | RisingFact:Rev | AccRevSum | A001339 | 1 3 11 49 261 1631 11743 95901 876809 8877691 98641011 1193556233 15624736141 220048367319 | -| 55 | RisingFact:Rev | RowLcm | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 56 | RisingFact:Rev | RowGcd | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 57 | RisingFact:Rev | RowMax | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 58 | RisingFact:Rev | ColMiddle | A205825 | 1 1 2 3 12 20 120 210 1680 3024 30240 55440 665280 1235520 17297280 32432400 518918400 980179200 | -| 59 | RisingFact:Rev | CentralE | A001813 | 1 2 12 120 1680 30240 665280 17297280 518918400 17643225600 670442572800 28158588057600 | -| 60 | RisingFact:Rev | CentralO | B006963 | 1 3 20 210 3024 55440 1235520 32432400 980179200 33522128640 1279935820800 53970627110400 | -| 61 | RisingFact:Rev | ColRight | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 62 | RisingFact:Rev | BinConv | A002720 | 1 2 7 34 209 1546 13327 130922 1441729 17572114 234662231 3405357682 53334454417 896324308634 | -| 63 | RisingFact:Rev | InvBinConv | A009940 | 1 0 -1 -4 -15 -56 -185 -204 6209 112400 1520271 19165420 237686449 2944654296 36392001815 | -| 64 | RisingFact:Rev | TransNat0 | A093964 | 0 1 6 33 196 1305 9786 82201 767208 7891281 88776910 1085051121 14322674796 203121569833 | -| 65 | RisingFact:Rev | TransNat1 | A001339 | 1 3 11 49 261 1631 11743 95901 876809 8877691 98641011 1193556233 15624736141 220048367319 | -| 66 | RisingFact:Rev | TransSqrs | A343276 | 0 1 10 81 652 5545 50886 506905 5480056 64116657 808856290 10959016321 158851484100 2454385635481 | -| 67 | RisingFact:Rev | PosHalf | A010842 | 1 3 10 38 168 872 5296 37200 297856 2681216 26813184 294947072 3539368960 46011804672 644165281792 | -| 68 | RisingFact:Rev | NegHalf | A000023 | 1 -1 2 -2 8 8 112 656 5504 49024 491264 5401856 64826368 842734592 11798300672 176974477312 | -| 69 | RisingFact:Rev | DiagRow1 | B000142 | 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000 | -| 70 | RisingFact:Rev | DiagRow2 | B001710 | 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 3113510400 43589145600 653837184000 | -| 71 | RisingFact:Rev | DiagRow3 | A001715 | 1 4 20 120 840 6720 60480 604800 6652800 79833600 1037836800 14529715200 217945728000 3487131648000 | -| 72 | RisingFact:Rev | DiagCol1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 73 | RisingFact:Rev | DiagCol2 | B002378 | 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | -| 74 | RisingFact:Rev | DiagCol3 | A331433 | 6 24 60 120 210 336 504 720 990 1320 1716 2184 2730 3360 4080 4896 5814 6840 7980 9240 10626 12144 | -| 75 | RisingFact:Rev | Poly | missing | 1 1 1 1 2 1 1 5 3 1 1 16 13 4 1 1 65 79 25 5 1 1 326 633 226 41 6 1 1 1957 6331 2713 493 61 7 1 1 | -| 76 | RisingFact:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 77 | RisingFact:Rev | PolyRow2 | A001844 | 1 5 13 25 41 61 85 113 145 181 221 265 313 365 421 481 545 613 685 761 841 925 1013 1105 1201 1301 | -| 78 | RisingFact:Rev | PolyRow3 | missing | 1 16 79 226 493 916 1531 2374 3481 4888 6631 8746 11269 14236 17683 21646 26161 31264 36991 43378 | -| 79 | RisingFact:Rev | PolyCol2 | A010844 | 1 3 13 79 633 6331 75973 1063623 17017969 306323443 6126468861 134782314943 3234775558633 | -| 80 | RisingFact:Rev | PolyCol3 | A010845 | 1 4 25 226 2713 40696 732529 15383110 369194641 9968255308 299047659241 9868572754954 | -| 81 | RisingFact:Rev | PolyDiag | A277452 | 1 2 13 226 7889 458026 39684637 4788052298 766526598721 157108817646514 40104442275129101 | -| 82 | RisingFact:Inv | Triangle | A128229 | 1 -1 1 0 -2 1 0 0 -3 1 0 0 0 -4 1 0 0 0 0 -5 1 0 0 0 0 0 -6 1 0 0 0 0 0 0 -7 1 0 0 0 0 0 0 0 -8 1 0 | -| 83 | RisingFact:Inv | Rev | A158821 | 1 1 -1 1 -2 0 1 -3 0 0 1 -4 0 0 0 1 -5 0 0 0 0 1 -6 0 0 0 0 0 1 -7 0 0 0 0 0 0 1 -8 0 0 0 0 0 0 0 1 | -| 84 | RisingFact:Inv | RevInv | A008279 | 1 1 1 1 2 2 1 3 6 6 1 4 12 24 24 1 5 20 60 120 120 1 6 30 120 360 720 720 1 7 42 210 840 2520 5040 | -| 85 | RisingFact:Inv | Acc | missing | 1 -1 0 0 -2 -1 0 0 -3 -2 0 0 0 -4 -3 0 0 0 0 -5 -4 0 0 0 0 0 -6 -5 0 0 0 0 0 0 -7 -6 0 0 0 0 0 0 0 | -| 86 | RisingFact:Inv | AccRev | missing | 1 1 0 1 -1 -1 1 -2 -2 -2 1 -3 -3 -3 -3 1 -4 -4 -4 -4 -4 1 -5 -5 -5 -5 -5 -5 1 -6 -6 -6 -6 -6 -6 -6 | -| 87 | RisingFact:Inv | AntiDiag | missing | 1 -1 0 1 0 -2 0 0 1 0 0 -3 0 0 0 1 0 0 0 -4 0 0 0 0 1 0 0 0 0 -5 0 0 0 0 0 1 0 0 0 0 0 -6 0 0 0 0 0 | -| 88 | RisingFact:Inv | Diffx1 | missing | 1 -1 2 0 -4 3 0 0 -9 4 0 0 0 -16 5 0 0 0 0 -25 6 0 0 0 0 0 -36 7 0 0 0 0 0 0 -49 8 0 0 0 0 0 0 0 | -| 89 | RisingFact:Inv | RowSum | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 90 | RisingFact:Inv | EvenSum | A009001 | 1 -1 1 -3 1 -5 1 -7 1 -9 1 -11 1 -13 1 -15 1 -17 1 -19 1 -21 1 -23 1 -25 1 -27 1 -29 1 -31 | -| 91 | RisingFact:Inv | OddSum | A009531 | 0 1 -2 1 -4 1 -6 1 -8 1 -10 1 -12 1 -14 1 -16 1 -18 1 -20 1 -22 1 -24 1 -26 1 -28 1 -30 1 | -| 92 | RisingFact:Inv | AltSum | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | -| 93 | RisingFact:Inv | DiagSum | A007879 | 1 -1 1 -2 1 -3 1 -4 1 -5 1 -6 1 -7 1 -8 1 -9 1 -10 1 -11 1 -12 1 -13 1 -14 1 -15 1 -16 | -| 94 | RisingFact:Inv | AccSum | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | -| 95 | RisingFact:Inv | AccRevSum | A165900 | 1 1 -1 -5 -11 -19 -29 -41 -55 -71 -89 -109 -131 -155 -181 -209 -239 -271 -305 -341 -379 -419 -461 | -| 96 | RisingFact:Inv | RowLcm | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 97 | RisingFact:Inv | RowGcd | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 98 | RisingFact:Inv | RowMax | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 99 | RisingFact:Inv | ColMiddle | A130779 | 1 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 100 | RisingFact:Inv | CentralE | A130706 | 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 101 | RisingFact:Inv | ColLeft | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 102 | RisingFact:Inv | BinConv | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | -| 103 | RisingFact:Inv | InvBinConv | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 104 | RisingFact:Inv | TransNat0 | A067998 | 0 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | -| 105 | RisingFact:Inv | TransNat1 | A165900 | 1 1 -1 -5 -11 -19 -29 -41 -55 -71 -89 -109 -131 -155 -181 -209 -239 -271 -305 -341 -379 -419 -461 | -| 106 | RisingFact:Inv | TransSqrs | B318765 | 0 1 2 -3 -20 -55 -114 -203 -328 -495 -710 -979 -1308 -1703 -2170 -2715 -3344 -4063 -4878 -5795 | -| 107 | RisingFact:Inv | PosHalf | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | -| 108 | RisingFact:Inv | NegHalf | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | -| 109 | RisingFact:Inv | DiagRow1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | -| 110 | RisingFact:Inv | DiagCol1 | A130706 | 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 111 | RisingFact:Inv | DiagCol2 | A169585 | 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 112 | RisingFact:Inv | DiagCol3 | A274981 | 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 113 | RisingFact:Inv | Poly | missing | 1 -1 1 0 0 1 0 -1 1 1 0 -2 0 2 1 0 -3 -4 3 3 1 0 -4 -16 0 8 4 1 0 -5 -48 -27 16 15 5 1 0 -6 -128 | -| 114 | RisingFact:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | -| 115 | RisingFact:Inv | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | -| 116 | RisingFact:Inv | PolyRow3 | missing | 0 -2 -4 0 16 50 108 196 320 486 700 968 1296 1690 2156 2700 3328 4046 4860 5776 6800 7938 9196 | -| 117 | RisingFact:Inv | PolyCol2 | A159964 | 1 1 0 -4 -16 -48 -128 -320 -768 -1792 -4096 -9216 -20480 -45056 -98304 -212992 -458752 -983040 | -| 118 | RisingFact:Inv | PolyCol3 | missing | 1 2 3 0 -27 -162 -729 -2916 -10935 -39366 -137781 -472392 -1594323 -5314410 -17537553 -57395628 | -| 119 | RisingFact:Inv:Rev | Triangle | A158821 | 1 1 -1 1 -2 0 1 -3 0 0 1 -4 0 0 0 1 -5 0 0 0 0 1 -6 0 0 0 0 0 1 -7 0 0 0 0 0 0 1 -8 0 0 0 0 0 0 0 1 | -| 120 | RisingFact:Inv:Rev | Rev | A128229 | 1 -1 1 0 -2 1 0 0 -3 1 0 0 0 -4 1 0 0 0 0 -5 1 0 0 0 0 0 -6 1 0 0 0 0 0 0 -7 1 0 0 0 0 0 0 0 -8 1 0 | -| 121 | RisingFact:Inv:Rev | InvRev | A094587 | 1 1 1 2 2 1 6 6 3 1 24 24 12 4 1 120 120 60 20 5 1 720 720 360 120 30 6 1 5040 5040 2520 840 210 42 | -| 122 | RisingFact:Inv:Rev | Acc | missing | 1 1 0 1 -1 -1 1 -2 -2 -2 1 -3 -3 -3 -3 1 -4 -4 -4 -4 -4 1 -5 -5 -5 -5 -5 -5 1 -6 -6 -6 -6 -6 -6 -6 | -| 123 | RisingFact:Inv:Rev | AccRev | missing | 1 -1 0 0 -2 -1 0 0 -3 -2 0 0 0 -4 -3 0 0 0 0 -5 -4 0 0 0 0 0 -6 -5 0 0 0 0 0 0 -7 -6 0 0 0 0 0 0 0 | -| 124 | RisingFact:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -2 1 -3 0 1 -4 0 1 -5 0 0 1 -6 0 0 1 -7 0 0 0 1 -8 0 0 0 1 -9 0 0 0 0 1 -10 0 0 0 0 1 | -| 125 | RisingFact:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -4 0 1 -6 0 0 1 -8 0 0 0 1 -10 0 0 0 0 1 -12 0 0 0 0 0 1 -14 0 0 0 0 0 0 1 -16 0 0 0 0 0 0 | -| 126 | RisingFact:Inv:Rev | RowSum | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 127 | RisingFact:Inv:Rev | OddSum | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 128 | RisingFact:Inv:Rev | AltSum | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 129 | RisingFact:Inv:Rev | DiagSum | A105811 | 1 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 | -| 130 | RisingFact:Inv:Rev | AccSum | A165900 | 1 1 -1 -5 -11 -19 -29 -41 -55 -71 -89 -109 -131 -155 -181 -209 -239 -271 -305 -341 -379 -419 -461 | -| 131 | RisingFact:Inv:Rev | AccRevSum | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | -| 132 | RisingFact:Inv:Rev | RowLcm | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 133 | RisingFact:Inv:Rev | RowGcd | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 134 | RisingFact:Inv:Rev | RowMax | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 135 | RisingFact:Inv:Rev | ColMiddle | A173012 | 1 1 -2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 136 | RisingFact:Inv:Rev | CentralE | A130706 | 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 137 | RisingFact:Inv:Rev | CentralO | A169585 | 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 138 | RisingFact:Inv:Rev | ColRight | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 139 | RisingFact:Inv:Rev | BinConv | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | -| 140 | RisingFact:Inv:Rev | InvBinConv | A002522 | 1 -2 5 -10 17 -26 37 -50 65 -82 101 -122 145 -170 197 -226 257 -290 325 -362 401 -442 485 -530 577 | -| 141 | RisingFact:Inv:Rev | TransNat0 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 142 | RisingFact:Inv:Rev | TransNat1 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | -| 143 | RisingFact:Inv:Rev | TransSqrs | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 144 | RisingFact:Inv:Rev | PosHalf | A159964 | 1 1 0 -4 -16 -48 -128 -320 -768 -1792 -4096 -9216 -20480 -45056 -98304 -212992 -458752 -983040 | -| 145 | RisingFact:Inv:Rev | NegHalf | A001792 | 1 -3 8 -20 48 -112 256 -576 1280 -2816 6144 -13312 28672 -61440 131072 -278528 589824 -1245184 | -| 146 | RisingFact:Inv:Rev | DiagRow1 | A130706 | 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 147 | RisingFact:Inv:Rev | DiagRow2 | A169585 | 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 148 | RisingFact:Inv:Rev | DiagRow3 | A274981 | 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 149 | RisingFact:Inv:Rev | DiagCol1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | -| 150 | RisingFact:Inv:Rev | Poly | A176270 | 1 1 1 1 0 1 1 -1 -1 1 1 -2 -3 -2 1 1 -3 -5 -5 -3 1 1 -4 -7 -8 -7 -4 1 1 -5 -9 -11 -11 -9 -5 1 1 -6 | -| 151 | RisingFact:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 152 | RisingFact:Inv:Rev | PolyRow2 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | -| 153 | RisingFact:Inv:Rev | PolyRow3 | A016789 | 1 -2 -5 -8 -11 -14 -17 -20 -23 -26 -29 -32 -35 -38 -41 -44 -47 -50 -53 -56 -59 -62 -65 -68 -71 -74 | -| 154 | RisingFact:Inv:Rev | PolyCol2 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | -| 155 | RisingFact:Inv:Rev | PolyCol3 | A016789 | 1 -2 -5 -8 -11 -14 -17 -20 -23 -26 -29 -32 -35 -38 -41 -44 -47 -50 -53 -56 -59 -62 -65 -68 -71 -74 | -| 156 | RisingFact:Inv:Rev | PolyDiag | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | \ No newline at end of file +| 0 | RisingFact:Std | Triangle | A124320 | 1 1 1 1 2 6 1 3 12 60 1 4 20 120 840 1 5 30 210 1680 15120 1 6 42 336 3024 30240 332640 1 7 56 504 | +| 1 | RisingFact:Std | Rev | missing | 1 1 1 6 2 1 60 12 3 1 840 120 20 4 1 15120 1680 210 30 5 1 332640 30240 3024 336 42 6 1 8648640 | +| 2 | RisingFact:Std | InvRev | missing | 1 -1 1 -4 -2 1 -36 -6 -3 1 -496 -56 -8 -4 1 -9040 -800 -80 -10 -5 1 -203136 -15024 -1200 -108 -12 | +| 3 | RisingFact:Std | Acc | missing | 1 1 2 1 3 9 1 4 16 76 1 5 25 145 985 1 6 36 246 1926 17046 1 7 49 385 3409 33649 366289 1 8 64 568 | +| 4 | RisingFact:Std | AccRev | missing | 1 1 2 6 8 9 60 72 75 76 840 960 980 984 985 15120 16800 17010 17040 17045 17046 332640 362880 | +| 5 | RisingFact:Std | AntiDiag | missing | 1 1 1 1 1 2 1 3 6 1 4 12 1 5 20 60 1 6 30 120 1 7 42 210 840 1 8 56 336 1680 1 9 72 504 3024 15120 | +| 6 | RisingFact:Std | Diffx1 | missing | 1 1 2 1 4 18 1 6 36 240 1 8 60 480 4200 1 10 90 840 8400 90720 1 12 126 1344 15120 181440 2328480 1 | +| 7 | RisingFact:Std | RowSum | A123680 | 1 2 9 76 985 17046 366289 9374968 278095761 9375293170 353906211241 14785127222724 677150215857193 | +| 8 | RisingFact:Std | EvenSum | missing | 1 1 7 13 861 1711 335707 670377 260702713 521092531 336205086471 672212685277 648930517555477 | +| 9 | RisingFact:Std | OddSum | missing | 0 1 2 63 124 15335 30582 8704591 17393048 8854200639 17701124770 14112914537447 28219698301716 | +| 10 | RisingFact:Std | AltSum | missing | 1 0 5 -50 737 -13624 305125 -8034214 243309665 -8333108108 318503961701 -13440701852170 | +| 11 | RisingFact:Std | DiagSum | missing | 1 1 2 3 10 17 86 157 1100 2081 18730 36101 397112 773665 10057646 19726085 295891276 582913217 | +| 12 | RisingFact:Std | AccSum | missing | 1 3 13 97 1161 19261 403789 10168593 298184977 9966246661 373698496821 15528330266329 | +| 13 | RisingFact:Std | AccRevSum | missing | 1 3 23 283 4749 100061 2526523 74206119 2482772633 93161978209 3873176038071 176678323629083 | +| 14 | RisingFact:Std | RowLcm | A000407 | 1 1 6 60 840 15120 332640 8648640 259459200 8821612800 335221286400 14079294028800 647647525324800 | +| 15 | RisingFact:Std | RowGcd | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 16 | RisingFact:Std | RowMax | A000407 | 1 1 6 60 840 15120 332640 8648640 259459200 8821612800 335221286400 14079294028800 647647525324800 | +| 17 | RisingFact:Std | ColMiddle | missing | 1 1 2 3 20 30 336 504 7920 11880 240240 360360 8910720 13366080 390700800 586051200 19769460480 | +| 18 | RisingFact:Std | CentralE | A352601 | 1 2 20 336 7920 240240 8910720 390700800 19769460480 1133836704000 72684900288000 5150244363264000 | +| 19 | RisingFact:Std | CentralO | A064352 | 1 3 30 504 11880 360360 13366080 586051200 29654190720 1700755056000 109027350432000 | +| 20 | RisingFact:Std | ColRight | A000407 | 1 1 6 60 840 15120 332640 8648640 259459200 8821612800 335221286400 14079294028800 647647525324800 | +| 21 | RisingFact:Std | BinConv | A278070 | 1 2 11 106 1457 25946 566827 14665106 438351041 14862109042 563501581931 23624177026682 | +| 22 | RisingFact:Std | InvBinConv | A278069 | 1 0 3 32 465 8544 190435 4996032 150869313 5155334720 196677847971 8286870547680 382200680031313 | +| 23 | RisingFact:Std | TransNat0 | missing | 0 1 14 207 3764 83015 2160234 64831151 2204676872 83786685039 3519269826830 161893196406359 | +| 24 | RisingFact:Std | TransNat1 | missing | 1 3 23 283 4749 100061 2526523 74206119 2482772633 93161978209 3873176038071 176678323629083 | +| 25 | RisingFact:Std | TransSqrs | missing | 0 1 26 591 14604 406895 12782622 449204847 17499943736 749432500119 35016922627290 1773472063683287 | +| 26 | RisingFact:Std | PosHalf | missing | 1 3 14 104 1208 19672 408832 10251712 299911808 10009405376 374956361984 15570161718784 | +| 27 | RisingFact:Std | NegHalf | missing | 1 -1 6 40 664 12408 282112 7506112 229153920 7898352832 303445214464 12859786968576 596006635380736 | +| 28 | RisingFact:Std | DiagRow1 | A001813 | 1 2 12 120 1680 30240 665280 17297280 518918400 17643225600 670442572800 28158588057600 | +| 29 | RisingFact:Std | DiagRow2 | B006963 | 1 3 20 210 3024 55440 1235520 32432400 980179200 33522128640 1279935820800 53970627110400 | +| 30 | RisingFact:Std | DiagRow3 | B001761 | 1 4 30 336 5040 95040 2162160 57657600 1764322560 60949324800 2346549004800 99638080819200 | +| 31 | RisingFact:Std | DiagCol1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 32 | RisingFact:Std | DiagCol2 | B002378 | 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 812 | +| 33 | RisingFact:Std | DiagCol3 | B007531 | 60 120 210 336 504 720 990 1320 1716 2184 2730 3360 4080 4896 5814 6840 7980 9240 10626 12144 13800 | +| 34 | RisingFact:Std | Poly | missing | 1 1 1 1 2 1 1 9 3 1 1 76 29 4 1 1 985 535 61 5 1 1 17046 14489 1738 105 6 1 1 366289 512531 71473 | +| 35 | RisingFact:Std | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 36 | RisingFact:Std | PolyRow2 | A136392 | 1 9 29 61 105 161 229 309 401 505 621 749 889 1041 1205 1381 1569 1769 1981 2205 2441 2689 2949 | +| 37 | RisingFact:Std | PolyRow3 | missing | 1 76 535 1738 4045 7816 13411 21190 31513 44740 61231 81346 105445 133888 167035 205246 248881 | +| 38 | RisingFact:Std | PolyCol2 | missing | 1 3 29 535 14489 512531 22307893 1151462831 68717854385 4653803729899 352558473432461 | +| 39 | RisingFact:Std | PolyCol3 | missing | 1 4 61 1738 71473 3816196 250097293 19413459094 1741065412993 177112972757008 20148313089850141 | +| 40 | RisingFact:Std | PolyDiag | missing | 1 2 29 1738 223057 48327026 15758791309 7201740515026 4389605098172993 3440167561753695082 | +| 41 | RisingFact:Alt | Triangle | A124320 | 1 1 -1 1 -2 6 1 -3 12 -60 1 -4 20 -120 840 1 -5 30 -210 1680 -15120 1 -6 42 -336 3024 -30240 332640 | +| 42 | RisingFact:Alt | Rev | missing | 1 -1 1 6 -2 1 -60 12 -3 1 840 -120 20 -4 1 -15120 1680 -210 30 -5 1 332640 -30240 3024 -336 42 -6 1 | +| 43 | RisingFact:Alt | InvRev | missing | 1 1 1 -4 2 1 36 -6 3 1 -496 56 -8 4 1 9040 -800 80 -10 5 1 -203136 15024 -1200 108 -12 6 1 5401984 | +| 44 | RisingFact:Alt | Acc | missing | 1 1 0 1 -1 5 1 -2 10 -50 1 -3 17 -103 737 1 -4 26 -184 1496 -13624 1 -5 37 -299 2725 -27515 305125 | +| 45 | RisingFact:Alt | AccRev | missing | 1 -1 0 6 4 5 -60 -48 -51 -50 840 720 740 736 737 -15120 -13440 -13650 -13620 -13625 -13624 332640 | +| 46 | RisingFact:Alt | AntiDiag | missing | 1 1 1 -1 1 -2 1 -3 6 1 -4 12 1 -5 20 -60 1 -6 30 -120 1 -7 42 -210 840 1 -8 56 -336 1680 1 -9 72 | +| 47 | RisingFact:Alt | Diffx1 | missing | 1 1 -2 1 -4 18 1 -6 36 -240 1 -8 60 -480 4200 1 -10 90 -840 8400 -90720 1 -12 126 -1344 15120 | +| 48 | RisingFact:Alt | RowSum | missing | 1 0 5 -50 737 -13624 305125 -8034214 243309665 -8333108108 318503961701 -13440701852170 | +| 49 | RisingFact:Alt | EvenSum | missing | 1 1 7 13 861 1711 335707 670377 260702713 521092531 336205086471 672212685277 648930517555477 | +| 50 | RisingFact:Alt | OddSum | missing | 0 -1 -2 -63 -124 -15335 -30582 -8704591 -17393048 -8854200639 -17701124770 -14112914537447 | +| 51 | RisingFact:Alt | AltSum | A123680 | 1 2 9 76 985 17046 366289 9374968 278095761 9375293170 353906211241 14785127222724 677150215857193 | +| 52 | RisingFact:Alt | DiagSum | missing | 1 1 0 -1 4 9 -44 -95 666 1393 -12536 -25839 284230 580921 -7551972 -15353351 230300266 466542945 | +| 53 | RisingFact:Alt | AccSum | missing | 1 1 5 -41 649 -12289 280069 -7466465 228226769 -7873131761 302661429421 -12832375818481 | +| 54 | RisingFact:Alt | AccRevSum | missing | 1 -1 15 -209 3773 -83079 2160931 -64841461 2204869881 -83791057427 3519386110991 -161896748259729 | +| 55 | RisingFact:Alt | RowLcm | A000407 | 1 1 6 60 840 15120 332640 8648640 259459200 8821612800 335221286400 14079294028800 647647525324800 | +| 56 | RisingFact:Alt | RowGcd | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 57 | RisingFact:Alt | RowMax | A000407 | 1 1 6 60 840 15120 332640 8648640 259459200 8821612800 335221286400 14079294028800 647647525324800 | +| 58 | RisingFact:Alt | ColMiddle | missing | 1 1 -2 -3 20 30 -336 -504 7920 11880 -240240 -360360 8910720 13366080 -390700800 -586051200 | +| 59 | RisingFact:Alt | CentralE | A352601 | 1 -2 20 -336 7920 -240240 8910720 -390700800 19769460480 -1133836704000 72684900288000 | +| 60 | RisingFact:Alt | CentralO | A064352 | 1 -3 30 -504 11880 -360360 13366080 -586051200 29654190720 -1700755056000 109027350432000 | +| 61 | RisingFact:Alt | ColRight | A000407 | 1 -1 6 -60 840 -15120 332640 -8648640 259459200 -8821612800 335221286400 -14079294028800 | +| 62 | RisingFact:Alt | BinConv | A278069 | 1 0 3 -32 465 -8544 190435 -4996032 150869313 -5155334720 196677847971 -8286870547680 | +| 63 | RisingFact:Alt | InvBinConv | A278070 | 1 -2 11 -106 1457 -25946 566827 -14665106 438351041 -14862109042 563501581931 -23624177026682 | +| 64 | RisingFact:Alt | TransNat0 | missing | 0 -1 10 -159 3036 -69455 1855806 -56807247 1961560216 -75457949319 3200882149290 -148456046407559 | +| 65 | RisingFact:Alt | TransNat1 | missing | 1 -1 15 -209 3773 -83079 2160931 -64841461 2204869881 -83791057427 3519386110991 -161896748259729 | +| 66 | RisingFact:Alt | TransSqrs | missing | 0 -1 22 -495 12436 -352895 11264562 -401142959 15800045320 -682854888519 32153057599510 | +| 67 | RisingFact:Alt | PosHalf | missing | 1 1 6 -40 664 -12408 282112 -7506112 229153920 -7898352832 303445214464 -12859786968576 | +| 68 | RisingFact:Alt | NegHalf | missing | 1 -3 14 -104 1208 -19672 408832 -10251712 299911808 -10009405376 374956361984 -15570161718784 | +| 69 | RisingFact:Alt | DiagRow1 | A001813 | 1 -2 12 -120 1680 -30240 665280 -17297280 518918400 -17643225600 670442572800 -28158588057600 | +| 70 | RisingFact:Alt | DiagRow2 | B292221 | 1 -3 20 -210 3024 -55440 1235520 -32432400 980179200 -33522128640 1279935820800 -53970627110400 | +| 71 | RisingFact:Alt | DiagRow3 | B292220 | 1 -4 30 -336 5040 -95040 2162160 -57657600 1764322560 -60949324800 2346549004800 -99638080819200 | +| 72 | RisingFact:Alt | DiagCol1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | +| 73 | RisingFact:Alt | DiagCol2 | B002378 | 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 812 | +| 74 | RisingFact:Alt | DiagCol3 | B007531 | -60 -120 -210 -336 -504 -720 -990 -1320 -1716 -2184 -2730 -3360 -4080 -4896 -5814 -6840 -7980 -9240 | +| 75 | RisingFact:Alt | Poly | missing | 1 1 1 1 0 1 1 5 -1 1 1 -50 21 -2 1 1 737 -437 49 -3 1 1 -13624 12553 -1520 89 -4 1 1 305125 -458529 | +| 76 | RisingFact:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 77 | RisingFact:Alt | PolyRow2 | A201279 | 1 5 21 49 89 141 205 281 369 469 581 705 841 989 1149 1321 1505 1701 1909 2129 2361 2605 2861 3129 | +| 78 | RisingFact:Alt | PolyRow3 | missing | 1 -50 -437 -1520 -3659 -7214 -12545 -20012 -29975 -42794 -58829 -78440 -101987 -129830 -162329 | +| 79 | RisingFact:Alt | PolyCol2 | missing | 1 -1 21 -437 12553 -458529 20367133 -1066145261 64283656593 -4387840371737 334477034675941 | +| 80 | RisingFact:Alt | PolyCol3 | missing | 1 -2 49 -1520 64969 -3543494 235382473 -18442663364 1665360881905 -170300571156746 | +| 81 | RisingFact:Alt | PolyDiag | missing | 1 0 21 -1520 207665 -46225524 15288353605 -7045177254016 4317048818201025 -3395489792303713220 | +| 82 | RisingFact:Rev | Triangle | missing | 1 1 1 6 2 1 60 12 3 1 840 120 20 4 1 15120 1680 210 30 5 1 332640 30240 3024 336 42 6 1 8648640 | +| 83 | RisingFact:Rev | Inv | missing | 1 -1 1 -4 -2 1 -36 -6 -3 1 -496 -56 -8 -4 1 -9040 -800 -80 -10 -5 1 -203136 -15024 -1200 -108 -12 | +| 84 | RisingFact:Rev | RevInv | missing | 1 1 -1 1 -2 -4 1 -3 -6 -36 1 -4 -8 -56 -496 1 -5 -10 -80 -800 -9040 1 -6 -12 -108 -1200 -15024 | +| 85 | RisingFact:Rev | Acc | missing | 1 1 2 6 8 9 60 72 75 76 840 960 980 984 985 15120 16800 17010 17040 17045 17046 332640 362880 | +| 86 | RisingFact:Rev | AccRev | missing | 1 1 2 1 3 9 1 4 16 76 1 5 25 145 985 1 6 36 246 1926 17046 1 7 49 385 3409 33649 366289 1 8 64 568 | +| 87 | RisingFact:Rev | AntiDiag | missing | 1 1 6 1 60 2 840 12 1 15120 120 3 332640 1680 20 1 8648640 30240 210 4 259459200 665280 3024 30 1 | +| 88 | RisingFact:Rev | Diffx1 | missing | 1 1 2 6 4 3 60 24 9 4 840 240 60 16 5 15120 3360 630 120 25 6 332640 60480 9072 1344 210 36 7 | +| 89 | RisingFact:Rev | RowSum | A123680 | 1 2 9 76 985 17046 366289 9374968 278095761 9375293170 353906211241 14785127222724 677150215857193 | +| 90 | RisingFact:Rev | EvenSum | missing | 1 1 7 63 861 15335 335707 8704591 260702713 8854200639 336205086471 14112914537447 648930517555477 | +| 91 | RisingFact:Rev | OddSum | missing | 0 1 2 13 124 1711 30582 670377 17393048 521092531 17701124770 672212685277 28219698301716 | +| 92 | RisingFact:Rev | AltSum | missing | 1 0 5 50 737 13624 305125 8034214 243309665 8333108108 318503961701 13440701852170 620710819253761 | +| 93 | RisingFact:Rev | DiagSum | missing | 1 1 7 62 853 15243 334341 8679094 260127535 8838965861 335741445403 14096969782350 648318950246937 | +| 94 | RisingFact:Rev | AccSum | missing | 1 3 23 283 4749 100061 2526523 74206119 2482772633 93161978209 3873176038071 176678323629083 | +| 95 | RisingFact:Rev | AccRevSum | missing | 1 3 13 97 1161 19261 403789 10168593 298184977 9966246661 373698496821 15528330266329 | +| 96 | RisingFact:Rev | RowLcm | A000407 | 1 1 6 60 840 15120 332640 8648640 259459200 8821612800 335221286400 14079294028800 647647525324800 | +| 97 | RisingFact:Rev | RowGcd | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 98 | RisingFact:Rev | RowMax | A000407 | 1 1 6 60 840 15120 332640 8648640 259459200 8821612800 335221286400 14079294028800 647647525324800 | +| 99 | RisingFact:Rev | ColMiddle | missing | 1 1 2 12 20 210 336 5040 7920 154440 240240 5765760 8910720 253955520 390700800 12893126400 | +| 100 | RisingFact:Rev | CentralE | A352601 | 1 2 20 336 7920 240240 8910720 390700800 19769460480 1133836704000 72684900288000 5150244363264000 | +| 101 | RisingFact:Rev | CentralO | missing | 1 12 210 5040 154440 5765760 253955520 12893126400 741354768000 47621141568000 3379847863392000 | +| 102 | RisingFact:Rev | ColLeft | A000407 | 1 1 6 60 840 15120 332640 8648640 259459200 8821612800 335221286400 14079294028800 647647525324800 | +| 103 | RisingFact:Rev | BinConv | A278070 | 1 2 11 106 1457 25946 566827 14665106 438351041 14862109042 563501581931 23624177026682 | +| 104 | RisingFact:Rev | InvBinConv | A278069 | 1 0 3 -32 465 -8544 190435 -4996032 150869313 -5155334720 196677847971 -8286870547680 | +| 105 | RisingFact:Rev | TransNat0 | missing | 0 1 4 21 176 2215 37500 793625 20089216 590953491 19792285580 743203043605 30914356920240 | +| 106 | RisingFact:Rev | TransNat1 | missing | 1 3 13 97 1161 19261 403789 10168593 298184977 9966246661 373698496821 15528330266329 | +| 107 | RisingFact:Rev | TransSqrs | missing | 0 1 6 33 252 2895 46218 942165 23242488 670916187 22147214790 822136692993 33879993308340 | +| 108 | RisingFact:Rev | PosHalf | missing | 1 3 29 535 14489 512531 22307893 1151462831 68717854385 4653803729899 352558473432461 | +| 109 | RisingFact:Rev | NegHalf | missing | 1 -1 21 -437 12553 -458529 20367133 -1066145261 64283656593 -4387840371737 334477034675941 | +| 110 | RisingFact:Rev | DiagRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 111 | RisingFact:Rev | DiagRow2 | B002378 | 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 812 | +| 112 | RisingFact:Rev | DiagRow3 | B007531 | 60 120 210 336 504 720 990 1320 1716 2184 2730 3360 4080 4896 5814 6840 7980 9240 10626 12144 13800 | +| 113 | RisingFact:Rev | DiagCol1 | A001813 | 1 2 12 120 1680 30240 665280 17297280 518918400 17643225600 670442572800 28158588057600 | +| 114 | RisingFact:Rev | DiagCol2 | B006963 | 1 3 20 210 3024 55440 1235520 32432400 980179200 33522128640 1279935820800 53970627110400 | +| 115 | RisingFact:Rev | DiagCol3 | B001761 | 1 4 30 336 5040 95040 2162160 57657600 1764322560 60949324800 2346549004800 99638080819200 | +| 116 | RisingFact:Rev | Poly | missing | 1 1 1 6 2 1 60 9 3 1 840 76 14 4 1 15120 985 104 21 5 1 332640 17046 1208 150 30 6 1 8648640 366289 | +| 117 | RisingFact:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 118 | RisingFact:Rev | PolyRow2 | B117951 | 6 9 14 21 30 41 54 69 86 105 126 149 174 201 230 261 294 329 366 405 446 489 534 581 630 681 734 | +| 119 | RisingFact:Rev | PolyRow3 | missing | 60 76 104 150 220 320 456 634 860 1140 1480 1886 2364 2920 3560 4290 5116 6044 7080 8230 9500 10896 | +| 120 | RisingFact:Rev | PolyCol2 | missing | 1 3 14 104 1208 19672 408832 10251712 299911808 10009405376 374956361984 15570161718784 | +| 121 | RisingFact:Rev | PolyCol3 | missing | 1 4 21 150 1569 23508 465237 11341242 325929825 10745031672 398895975189 16449628071726 | +| 122 | RisingFact:Rev | PolyDiag | missing | 1 2 14 150 2152 38770 843264 21549262 634033280 21141335178 788749062400 32578586797174 | +| 123 | RisingFact:Rev:Inv | Triangle | missing | 1 -1 1 -4 -2 1 -36 -6 -3 1 -496 -56 -8 -4 1 -9040 -800 -80 -10 -5 1 -203136 -15024 -1200 -108 -12 | +| 124 | RisingFact:Rev:Inv | Rev | missing | 1 1 -1 1 -2 -4 1 -3 -6 -36 1 -4 -8 -56 -496 1 -5 -10 -80 -800 -9040 1 -6 -12 -108 -1200 -15024 | +| 125 | RisingFact:Rev:Inv | Inv | missing | 1 1 1 6 2 1 60 12 3 1 840 120 20 4 1 15120 1680 210 30 5 1 332640 30240 3024 336 42 6 1 8648640 | +| 126 | RisingFact:Rev:Inv | RevInv | A124320 | 1 1 1 1 2 6 1 3 12 60 1 4 20 120 840 1 5 30 210 1680 15120 1 6 42 336 3024 30240 332640 1 7 56 504 | +| 127 | RisingFact:Rev:Inv | Acc | missing | 1 -1 0 -4 -6 -5 -36 -42 -45 -44 -496 -552 -560 -564 -563 -9040 -9840 -9920 -9930 -9935 -9934 | +| 128 | RisingFact:Rev:Inv | AccRev | missing | 1 1 0 1 -1 -5 1 -2 -8 -44 1 -3 -11 -67 -563 1 -4 -14 -94 -894 -9934 1 -5 -17 -125 -1325 -16349 | +| 129 | RisingFact:Rev:Inv | AntiDiag | missing | 1 -1 -4 1 -36 -2 -496 -6 1 -9040 -56 -3 -203136 -800 -8 1 -5401984 -15024 -80 -4 -165519616 -345968 | +| 130 | RisingFact:Rev:Inv | Diffx1 | missing | 1 -1 2 -4 -4 3 -36 -12 -9 4 -496 -112 -24 -16 5 -9040 -1600 -240 -40 -25 6 -203136 -30048 -3600 | +| 131 | RisingFact:Rev:Inv | RowSum | missing | 1 0 -5 -44 -563 -9934 -219485 -5773228 -175499655 -6042972554 -232246373889 -9850262502200 | +| 132 | RisingFact:Rev:Inv | EvenSum | missing | 1 -1 -3 -39 -503 -9125 -204347 -5425539 -166077743 -5749682913 -221950389139 -9448177450591 | +| 133 | RisingFact:Rev:Inv | OddSum | missing | 0 1 -2 -5 -60 -809 -15138 -347689 -9421912 -293289641 -10295984750 -402085051609 -17283828113988 | +| 134 | RisingFact:Rev:Inv | AltSum | missing | 1 -2 -1 -34 -443 -8316 -189209 -5077850 -156655831 -5456393272 -211654404389 -9046092398982 | +| 135 | RisingFact:Rev:Inv | DiagSum | missing | 1 -1 -3 -38 -501 -9099 -203943 -5417092 -165866793 -5743580385 -221750217783 -9440844072498 | +| 136 | RisingFact:Rev:Inv | AccSum | missing | 1 -1 -15 -167 -2735 -58599 -1518575 -45787251 -1568883807 -60103592351 -2543376213919 | +| 137 | RisingFact:Rev:Inv | AccRevSum | missing | 1 1 -5 -53 -643 -10939 -237305 -6171801 -186112743 -6369105743 -243580272749 -10289258689181 | +| 138 | RisingFact:Rev:Inv | RowLcm | missing | 1 1 4 36 3472 90400 14305852800 1063695513077120 157260241978386426880 932582012970654073013760 | +| 139 | RisingFact:Rev:Inv | RowGcd | A028310 | 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 140 | RisingFact:Rev:Inv | RowMax | missing | 1 1 4 36 496 9040 203136 5401984 165519616 5734169856 221457226240 9430557047296 438912069279744 | +| 141 | RisingFact:Rev:Inv | ColMiddle | missing | 1 -1 -2 -6 -8 -80 -108 -1708 -2336 -49536 -68480 -1803296 -2515008 -78677248 -110538176 -3991212480 | +| 142 | RisingFact:Rev:Inv | CentralE | missing | 1 -2 -8 -108 -2336 -68480 -2515008 -110538176 -5642382848 -327491107200 -21275730682880 | +| 143 | RisingFact:Rev:Inv | CentralO | missing | -1 -6 -80 -1708 -49536 -1803296 -78677248 -3991212480 -230430401024 -14901804369280 | +| 144 | RisingFact:Rev:Inv | ColLeft | missing | 1 -1 -4 -36 -496 -9040 -203136 -5401984 -165519616 -5734169856 -221457226240 -9430557047296 | +| 145 | RisingFact:Rev:Inv | BinConv | missing | 1 0 -7 -62 -783 -13964 -313655 -8380350 -258295615 -9001013768 -349517244999 -14955985502270 | +| 146 | RisingFact:Rev:Inv | InvBinConv | missing | 1 2 1 28 -303 5766 -128975 3416652 -104195007 3593202778 -138198777279 5863853725500 | +| 147 | RisingFact:Rev:Inv | TransNat0 | missing | 0 1 0 -9 -80 -1005 -17820 -398573 -10613088 -326133189 -11333898860 -438996186981 -18741344742720 | +| 148 | RisingFact:Rev:Inv | TransNat1 | missing | 1 1 -5 -53 -643 -10939 -237305 -6171801 -186112743 -6369105743 -243580272749 -10289258689181 | +| 149 | RisingFact:Rev:Inv | TransSqrs | missing | 0 1 2 -9 -108 -1265 -21102 -457765 -11965272 -362838681 -12480646250 -479412420685 -20325564358452 | +| 150 | RisingFact:Rev:Inv | PosHalf | missing | 1 -1 -19 -317 -8423 -302769 -13501595 -714373477 -43611278287 -3012793579673 -232160352434819 | +| 151 | RisingFact:Rev:Inv | NegHalf | missing | 1 3 -11 271 -7511 277091 -12538307 670034807 -41205979311 2862958130443 -221636060785179 | +| 152 | RisingFact:Rev:Inv | DiagRow1 | A000027 | -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 -27 | +| 153 | RisingFact:Rev:Inv | DiagRow2 | A063127 | -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 -52 | +| 154 | RisingFact:Rev:Inv | DiagRow3 | B139570 | -36 -56 -80 -108 -140 -176 -216 -260 -308 -360 -416 -476 -540 -608 -680 -756 -836 -920 -1008 -1100 | +| 155 | RisingFact:Rev:Inv | DiagCol1 | missing | 1 -2 -6 -56 -800 -15024 -345968 -9387008 -292434048 -10271527040 -401288987264 -17254810337280 | +| 156 | RisingFact:Rev:Inv | DiagCol2 | missing | 1 -3 -8 -80 -1200 -23408 -555776 -15463296 -491899520 -17583209600 -697200377856 -30358972347392 | +| 157 | RisingFact:Rev:Inv | DiagCol3 | missing | 1 -4 -10 -108 -1708 -34720 -852480 -24388960 -794255968 -28962914304 -1168183823872 -51619944527872 | +| 158 | RisingFact:Rev:Inv | Poly | missing | 1 -1 1 -4 0 1 -36 -5 1 1 -496 -44 -4 2 1 -9040 -563 -52 -1 3 1 -203136 -9934 -656 -54 4 4 1 | +| 159 | RisingFact:Rev:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 160 | RisingFact:Rev:Inv | PolyRow2 | A028875 | -4 -5 -4 -1 4 11 20 31 44 59 76 95 116 139 164 191 220 251 284 319 356 395 436 479 524 571 620 671 | +| 161 | RisingFact:Rev:Inv | PolyRow3 | missing | -36 -44 -52 -54 -44 -16 36 118 236 396 604 866 1188 1576 2036 2574 3196 3908 4716 5626 6644 7776 | +| 162 | RisingFact:Rev:Inv | PolyCol2 | missing | 1 1 -4 -52 -656 -11088 -239168 -6204224 -186839296 -6388620544 -244185629696 -10310479881216 | +| 163 | RisingFact:Rev:Inv | PolyCol3 | missing | 1 2 -1 -54 -763 -12592 -263625 -6714334 -199874647 -6778659564 -257479807381 -10817642424586 | +| 164 | RisingFact:Rev:Inv | PolyDiag | missing | 1 0 -4 -54 -848 -16290 -375360 -10128034 -313491712 -10948767282 -425793008640 -18242962464210 | \ No newline at end of file diff --git a/data/md/RisingFact.tbl.md b/data/md/RisingFact.tbl.md index 3be60e8..50a201e 100644 --- a/data/md/RisingFact.tbl.md +++ b/data/md/RisingFact.tbl.md @@ -1,5 +1,5 @@ # RisingFact -['A008279', 'A068424', 'A094587', 'A173333', 'A181511'] +['A124320'] RisingFact Triangle view @@ -7,88 +7,88 @@ RisingFact Triangle view | :--- | :--- | | Row0 | [1] | | Row1 | [1, 1] | -| Row2 | [2, 2, 1] | -| Row3 | [6, 6, 3, 1] | -| Row4 | [24, 24, 12, 4, 1] | -| Row5 | [120, 120, 60, 20, 5, 1] | -| Row6 | [720, 720, 360, 120, 30, 6, 1] | -| Row7 | [5040, 5040, 2520, 840, 210, 42, 7, 1] | -| Row8 | [40320, 40320, 20160, 6720, 1680, 336, 56, 8, 1] | -| Row9 | [362880, 362880, 181440, 60480, 15120, 3024, 504, 72, 9, 1] | +| Row2 | [1, 2, 6] | +| Row3 | [1, 3, 12, 60] | +| Row4 | [1, 4, 20, 120, 840] | +| Row5 | [1, 5, 30, 210, 1680, 15120] | +| Row6 | [1, 6, 42, 336, 3024, 30240, 332640] | +| Row7 | [1, 7, 56, 504, 5040, 55440, 665280, 8648640] | +| Row8 | [1, 8, 72, 720, 7920, 95040, 1235520, 17297280, 259459200] | +| Row9 | [1, 9, 90, 990, 11880, 154440, 2162160, 32432400, 518918400, 8821612800] | RisingFact Triangles | Flat | Seq | | :--- | :--- | -| Triangle | [[1], [1, 1], [2, 2, 1], [6, 6, 3, 1], [24, 24, 12, 4, 1], [120, 120, 60, 20, 5, 1], [720, 720, 360, 120, 30, 6, 1], [5040, 5040, 2520, 840, 210, 42, 7, 1], [40320, 40320, 20160, 6720, 1680, 336, 56, 8, 1], [362880, 362880, 181440, 60480, 15120, 3024, 504, 72, 9, 1]] | -| RevTabl | [[1], [1, 1], [1, 2, 2], [1, 3, 6, 6], [1, 4, 12, 24, 24], [1, 5, 20, 60, 120, 120], [1, 6, 30, 120, 360, 720, 720], [1, 7, 42, 210, 840, 2520, 5040, 5040], [1, 8, 56, 336, 1680, 6720, 20160, 40320, 40320], [1, 9, 72, 504, 3024, 15120, 60480, 181440, 362880, 362880]] | -| AntiDiag | [[1], [1], [2, 1], [6, 2], [24, 6, 1], [120, 24, 3], [720, 120, 12, 1], [5040, 720, 60, 4], [40320, 5040, 360, 20, 1], [362880, 40320, 2520, 120, 5]] | -| AccTabl | [[1], [1, 2], [2, 4, 5], [6, 12, 15, 16], [24, 48, 60, 64, 65], [120, 240, 300, 320, 325, 326], [720, 1440, 1800, 1920, 1950, 1956, 1957], [5040, 10080, 12600, 13440, 13650, 13692, 13699, 13700], [40320, 80640, 100800, 107520, 109200, 109536, 109592, 109600, 109601], [362880, 725760, 907200, 967680, 982800, 985824, 986328, 986400, 986409, 986410]] | -| RevAccTabl | [[1], [2, 1], [5, 4, 2], [16, 15, 12, 6], [65, 64, 60, 48, 24], [326, 325, 320, 300, 240, 120], [1957, 1956, 1950, 1920, 1800, 1440, 720], [13700, 13699, 13692, 13650, 13440, 12600, 10080, 5040], [109601, 109600, 109592, 109536, 109200, 107520, 100800, 80640, 40320], [986410, 986409, 986400, 986328, 985824, 982800, 967680, 907200, 725760, 362880]] | -| AccRevTabl | [[1], [1, 2], [1, 3, 5], [1, 4, 10, 16], [1, 5, 17, 41, 65], [1, 6, 26, 86, 206, 326], [1, 7, 37, 157, 517, 1237, 1957], [1, 8, 50, 260, 1100, 3620, 8660, 13700], [1, 9, 65, 401, 2081, 8801, 28961, 69281, 109601], [1, 10, 82, 586, 3610, 18730, 79210, 260650, 623530, 986410]] | -| DiffxTabl | [[1], [1, 2], [2, 4, 3], [6, 12, 9, 4], [24, 48, 36, 16, 5], [120, 240, 180, 80, 25, 6], [720, 1440, 1080, 480, 150, 36, 7], [5040, 10080, 7560, 3360, 1050, 252, 49, 8], [40320, 80640, 60480, 26880, 8400, 2016, 392, 64, 9], [362880, 725760, 544320, 241920, 75600, 18144, 3528, 576, 81, 10]] | +| Triangle | [[1], [1, 1], [1, 2, 6], [1, 3, 12, 60], [1, 4, 20, 120, 840], [1, 5, 30, 210, 1680, 15120], [1, 6, 42, 336, 3024, 30240, 332640], [1, 7, 56, 504, 5040, 55440, 665280, 8648640], [1, 8, 72, 720, 7920, 95040, 1235520, 17297280, 259459200], [1, 9, 90, 990, 11880, 154440, 2162160, 32432400, 518918400, 8821612800]] | +| RevTabl | [[1], [1, 1], [6, 2, 1], [60, 12, 3, 1], [840, 120, 20, 4, 1], [15120, 1680, 210, 30, 5, 1], [332640, 30240, 3024, 336, 42, 6, 1], [8648640, 665280, 55440, 5040, 504, 56, 7, 1], [259459200, 17297280, 1235520, 95040, 7920, 720, 72, 8, 1], [8821612800, 518918400, 32432400, 2162160, 154440, 11880, 990, 90, 9, 1]] | +| AntiDiag | [[1], [1], [1, 1], [1, 2], [1, 3, 6], [1, 4, 12], [1, 5, 20, 60], [1, 6, 30, 120], [1, 7, 42, 210, 840], [1, 8, 56, 336, 1680]] | +| AccTabl | [[1], [1, 2], [1, 3, 9], [1, 4, 16, 76], [1, 5, 25, 145, 985], [1, 6, 36, 246, 1926, 17046], [1, 7, 49, 385, 3409, 33649, 366289], [1, 8, 64, 568, 5608, 61048, 726328, 9374968], [1, 9, 81, 801, 8721, 103761, 1339281, 18636561, 278095761], [1, 10, 100, 1090, 12970, 167410, 2329570, 34761970, 553680370, 9375293170]] | +| RevAccTabl | [[1], [2, 1], [9, 3, 1], [76, 16, 4, 1], [985, 145, 25, 5, 1], [17046, 1926, 246, 36, 6, 1], [366289, 33649, 3409, 385, 49, 7, 1], [9374968, 726328, 61048, 5608, 568, 64, 8, 1], [278095761, 18636561, 1339281, 103761, 8721, 801, 81, 9, 1], [9375293170, 553680370, 34761970, 2329570, 167410, 12970, 1090, 100, 10, 1]] | +| AccRevTabl | [[1], [1, 2], [6, 8, 9], [60, 72, 75, 76], [840, 960, 980, 984, 985], [15120, 16800, 17010, 17040, 17045, 17046], [332640, 362880, 365904, 366240, 366282, 366288, 366289], [8648640, 9313920, 9369360, 9374400, 9374904, 9374960, 9374967, 9374968], [259459200, 276756480, 277992000, 278087040, 278094960, 278095680, 278095752, 278095760, 278095761], [8821612800, 9340531200, 9372963600, 9375125760, 9375280200, 9375292080, 9375293070, 9375293160, 9375293169, 9375293170]] | +| DiffxTabl | [[1], [1, 2], [1, 4, 18], [1, 6, 36, 240], [1, 8, 60, 480, 4200], [1, 10, 90, 840, 8400, 90720], [1, 12, 126, 1344, 15120, 181440, 2328480], [1, 14, 168, 2016, 25200, 332640, 4656960, 69189120], [1, 16, 216, 2880, 39600, 570240, 8648640, 138378240, 2335132800], [1, 18, 270, 3960, 59400, 926640, 15135120, 259459200, 4670265600, 88216128000]] | RisingFact Row sums | Trait | Seq | | :--- | :--- | -| RowSum | [1, 2, 5, 16, 65, 326, 1957, 13700, 109601, 986410] | -| EvenSum | [1, 1, 3, 9, 37, 185, 1111, 7777, 62217, 559953] | -| OddSum | [0, 1, 2, 7, 28, 141, 846, 5923, 47384, 426457] | -| AltSum | [1, 0, 1, 2, 9, 44, 265, 1854, 14833, 133496] | -| AccSum | [1, 3, 11, 49, 261, 1631, 11743, 95901, 876809, 8877691] | -| AccRevSum | [1, 3, 9, 31, 129, 651, 3913, 27399, 219201, 1972819] | -| DiagSum | [1, 1, 3, 8, 31, 147, 853, 5824, 45741, 405845] | +| RowSum | [1, 2, 9, 76, 985, 17046, 366289, 9374968, 278095761, 9375293170] | +| EvenSum | [1, 1, 7, 13, 861, 1711, 335707, 670377, 260702713, 521092531] | +| OddSum | [0, 1, 2, 63, 124, 15335, 30582, 8704591, 17393048, 8854200639] | +| AltSum | [1, 0, 5, -50, 737, -13624, 305125, -8034214, 243309665, -8333108108] | +| AccSum | [1, 3, 13, 97, 1161, 19261, 403789, 10168593, 298184977, 9966246661] | +| AccRevSum | [1, 3, 23, 283, 4749, 100061, 2526523, 74206119, 2482772633, 93161978209] | +| DiagSum | [1, 1, 2, 3, 10, 17, 86, 157, 1100, 2081] | RisingFact Transforms | Trans | Seq | | :--- | :--- | -| RowLcm | [1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880] | +| RowLcm | [1, 1, 6, 60, 840, 15120, 332640, 8648640, 259459200, 8821612800] | | RowGcd | [1, 1, 2, 3, 4, 5, 6, 7, 8, 9] | -| RowMax | [1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880] | -| CentralE | [1, 2, 12, 120, 1680] | -| CentralO | [1, 6, 60, 840, 15120] | -| ColMiddle | [1, 1, 2, 6, 12, 60, 120, 840, 1680, 15120] | -| ColLeft | [1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880] | -| ColRight | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | -| BinConv | [1, 2, 7, 34, 209, 1546, 13327, 130922, 1441729, 17572114] | -| InvBinConv | [1, 0, -1, 4, -15, 56, -185, 204, 6209, -112400] | -| TransSqrs | [0, 1, 6, 27, 124, 645, 3906, 27391, 219192, 1972809] | -| TransNat0 | [0, 1, 4, 15, 64, 325, 1956, 13699, 109600, 986409] | -| TransNat1 | [1, 3, 9, 31, 129, 651, 3913, 27399, 219201, 1972819] | -| PosHalf | [1, 3, 13, 79, 633, 6331, 75973, 1063623, 17017969, 306323443] | -| NegHalf | [1, -1, 5, -29, 233, -2329, 27949, -391285, 6260561, -112690097] | +| RowMax | [1, 1, 6, 60, 840, 15120, 332640, 8648640, 259459200, 8821612800] | +| CentralE | [1, 2, 20, 336, 7920] | +| CentralO | [1, 3, 30, 504, 11880] | +| ColMiddle | [1, 1, 2, 3, 20, 30, 336, 504, 7920, 11880] | +| ColLeft | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | +| ColRight | [1, 1, 6, 60, 840, 15120, 332640, 8648640, 259459200, 8821612800] | +| BinConv | [1, 2, 11, 106, 1457, 25946, 566827, 14665106, 438351041, 14862109042] | +| InvBinConv | [1, 0, 3, 32, 465, 8544, 190435, 4996032, 150869313, 5155334720] | +| TransSqrs | [0, 1, 26, 591, 14604, 406895, 12782622, 449204847, 17499943736, 749432500119] | +| TransNat0 | [0, 1, 14, 207, 3764, 83015, 2160234, 64831151, 2204676872, 83786685039] | +| TransNat1 | [1, 3, 23, 283, 4749, 100061, 2526523, 74206119, 2482772633, 93161978209] | +| PosHalf | [1, 3, 14, 104, 1208, 19672, 408832, 10251712, 299911808, 10009405376] | +| NegHalf | [1, -1, 6, 40, 664, 12408, 282112, 7506112, 229153920, 7898352832] | RisingFact Diagonals as rows | DiagRow | Seq | | :--- | :--- | -| DiagRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]| -| DiagRow1 | [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]| -| DiagRow2 | [2, 6, 12, 20, 30, 42, 56, 72, 90, 110]| -| DiagRow3 | [6, 24, 60, 120, 210, 336, 504, 720, 990, 1320]| -| DiagRow4 | [24, 120, 360, 840, 1680, 3024, 5040, 7920, 11880, 17160]| -| DiagRow5 | [120, 720, 2520, 6720, 15120, 30240, 55440, 95040, 154440, 240240]| -| DiagRow6 | [720, 5040, 20160, 60480, 151200, 332640, 665280, 1235520, 2162160, 3603600]| -| DiagRow7 | [5040, 40320, 181440, 604800, 1663200, 3991680, 8648640, 17297280, 32432400, 57657600]| -| DiagRow8 | [40320, 362880, 1814400, 6652800, 19958400, 51891840, 121080960, 259459200, 518918400, 980179200]| -| DiagRow9 | [362880, 3628800, 19958400, 79833600, 259459200, 726485760, 1816214400, 4151347200, 8821612800, 17643225600]| +| DiagRow0 | [1, 1, 6, 60, 840, 15120, 332640, 8648640, 259459200, 8821612800]| +| DiagRow1 | [1, 2, 12, 120, 1680, 30240, 665280, 17297280, 518918400, 17643225600]| +| DiagRow2 | [1, 3, 20, 210, 3024, 55440, 1235520, 32432400, 980179200, 33522128640]| +| DiagRow3 | [1, 4, 30, 336, 5040, 95040, 2162160, 57657600, 1764322560, 60949324800]| +| DiagRow4 | [1, 5, 42, 504, 7920, 154440, 3603600, 98017920, 3047466240, 106661318400]| +| DiagRow5 | [1, 6, 56, 720, 11880, 240240, 5765760, 160392960, 5079110400, 180503769600]| +| DiagRow6 | [1, 7, 72, 990, 17160, 360360, 8910720, 253955520, 8204716800, 296541907200]| +| DiagRow7 | [1, 8, 90, 1320, 24024, 524160, 13366080, 390700800, 12893126400, 474467051520]| +| DiagRow8 | [1, 9, 110, 1716, 32760, 742560, 19535040, 586051200, 19769460480, 741354768000]| +| DiagRow9 | [1, 10, 132, 2184, 43680, 1028160, 27907200, 859541760, 29654190720, 1133836704000]| RisingFact Diagonals as columns | DiagCol | Seq | | :--- | :--- | -| DiagCol0 | [1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880] | -| DiagCol1 | [1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800] | -| DiagCol2 | [1, 3, 12, 60, 360, 2520, 20160, 181440, 1814400, 19958400] | -| DiagCol3 | [1, 4, 20, 120, 840, 6720, 60480, 604800, 6652800, 79833600] | -| DiagCol4 | [1, 5, 30, 210, 1680, 15120, 151200, 1663200, 19958400, 259459200] | -| DiagCol5 | [1, 6, 42, 336, 3024, 30240, 332640, 3991680, 51891840, 726485760] | -| DiagCol6 | [1, 7, 56, 504, 5040, 55440, 665280, 8648640, 121080960, 1816214400] | -| DiagCol7 | [1, 8, 72, 720, 7920, 95040, 1235520, 17297280, 259459200, 4151347200] | -| DiagCol8 | [1, 9, 90, 990, 11880, 154440, 2162160, 32432400, 518918400, 8821612800] | -| DiagCol9 | [1, 10, 110, 1320, 17160, 240240, 3603600, 57657600, 980179200, 17643225600] | +| DiagCol0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | +| DiagCol1 | [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] | +| DiagCol2 | [6, 12, 20, 30, 42, 56, 72, 90, 110, 132] | +| DiagCol3 | [60, 120, 210, 336, 504, 720, 990, 1320, 1716, 2184] | +| DiagCol4 | [840, 1680, 3024, 5040, 7920, 11880, 17160, 24024, 32760, 43680] | +| DiagCol5 | [15120, 30240, 55440, 95040, 154440, 240240, 360360, 524160, 742560, 1028160] | +| DiagCol6 | [332640, 665280, 1235520, 2162160, 3603600, 5765760, 8910720, 13366080, 19535040, 27907200] | +| DiagCol7 | [8648640, 17297280, 32432400, 57657600, 98017920, 160392960, 253955520, 390700800, 586051200, 859541760] | +| DiagCol8 | [259459200, 518918400, 980179200, 1764322560, 3047466240, 5079110400, 8204716800, 12893126400, 19769460480, 29654190720] | +| DiagCol9 | [8821612800, 17643225600, 33522128640, 60949324800, 106661318400, 180503769600, 296541907200, 474467051520, 741354768000, 1133836704000] | RisingFact Polynomial values as rows @@ -96,151 +96,29 @@ RisingFact Polynomial values as rows | :--- | :--- | | PolyRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | | PolyRow1 | [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] | -| PolyRow2 | [2, 5, 10, 17, 26, 37, 50, 65, 82, 101] | -| PolyRow3 | [6, 16, 38, 78, 142, 236, 366, 538, 758, 1032] | -| PolyRow4 | [24, 65, 168, 393, 824, 1569, 2760, 4553, 7128, 10689] | -| PolyRow5 | [120, 326, 872, 2208, 5144, 10970, 21576, 39572, 68408, 112494] | -| PolyRow6 | [720, 1957, 5296, 13977, 34960, 81445, 176112, 355081, 672592, 1206405] | -| PolyRow7 | [5040, 13700, 37200, 100026, 261104, 648240, 1512720, 3309110, 6805296, 13227804] | -| PolyRow8 | [40320, 109601, 297856, 806769, 2154368, 5576545, 13781376, 32237681, 71219584, 148869153] | -| PolyRow9 | [362880, 986410, 2681216, 7280604, 19651456, 52142030, 134110080, 330492736, 775193984, 1727242866] | +| PolyRow2 | [1, 9, 29, 61, 105, 161, 229, 309, 401, 505] | +| PolyRow3 | [1, 76, 535, 1738, 4045, 7816, 13411, 21190, 31513, 44740] | +| PolyRow4 | [1, 985, 14489, 71473, 223057, 540521, 1115305, 2059009, 3503393, 5600377] | +| PolyRow5 | [1, 17046, 512531, 3816196, 15926901, 48327026, 119796871, 258229056, 502442921, 903998926] | +| PolyRow6 | [1, 366289, 22307893, 250097293, 1394255545, 5293933081, 15758791309, 39650385013, 88203045553, 178584264865] | +| PolyRow7 | [1, 9374968, 1151462831, 19413459094, 144482398621, 686246464436, 2452542734923, 7201740515026, 18313749397049, 41723041196656] | +| PolyRow8 | [1, 278095761, 68717854385, 1741065412993, 17292476852385, 102722207041841, 440692348915921, 1510122683778465, 4389605098172993, 11252262417802705] | +| PolyRow9 | [1, 9375293170, 4653803729899, 177112972757008, 2347081092007237, 17434983055176046, 89782296766045615, 359002323825104044, 1192791420974551753, 3440167561753695082] | RisingFact Polynomial values as columns | PolyCol | Seq | | :--- | :--- | -| PolyCol0 | [1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880] | -| PolyCol1 | [1, 2, 5, 16, 65, 326, 1957, 13700, 109601, 986410] | -| PolyCol2 | [1, 3, 10, 38, 168, 872, 5296, 37200, 297856, 2681216] | -| PolyCol3 | [1, 4, 17, 78, 393, 2208, 13977, 100026, 806769, 7280604] | -| PolyCol4 | [1, 5, 26, 142, 824, 5144, 34960, 261104, 2154368, 19651456] | -| PolyCol5 | [1, 6, 37, 236, 1569, 10970, 81445, 648240, 5576545, 52142030] | -| PolyCol6 | [1, 7, 50, 366, 2760, 21576, 176112, 1512720, 13781376, 134110080] | -| PolyCol7 | [1, 8, 65, 538, 4553, 39572, 355081, 3309110, 32237681, 330492736] | -| PolyCol8 | [1, 9, 82, 758, 7128, 68408, 672592, 6805296, 71219584, 775193984] | -| PolyCol9 | [1, 10, 101, 1032, 10689, 112494, 1206405, 13227804, 148869153, 1727242866] | - -# RisingFact:Inv -[] - -RisingFact:Inv Triangle view - -| Row | Seq | -| :--- | :--- | -| Row0 | [1] | -| Row1 | [-1, 1] | -| Row2 | [0, -2, 1] | -| Row3 | [0, 0, -3, 1] | -| Row4 | [0, 0, 0, -4, 1] | -| Row5 | [0, 0, 0, 0, -5, 1] | -| Row6 | [0, 0, 0, 0, 0, -6, 1] | -| Row7 | [0, 0, 0, 0, 0, 0, -7, 1] | -| Row8 | [0, 0, 0, 0, 0, 0, 0, -8, 1] | -| Row9 | [0, 0, 0, 0, 0, 0, 0, 0, -9, 1] | - -RisingFact:Inv Triangles - -| Flat | Seq | -| :--- | :--- | -| Triangle | [[1], [-1, 1], [0, -2, 1], [0, 0, -3, 1], [0, 0, 0, -4, 1], [0, 0, 0, 0, -5, 1], [0, 0, 0, 0, 0, -6, 1], [0, 0, 0, 0, 0, 0, -7, 1], [0, 0, 0, 0, 0, 0, 0, -8, 1], [0, 0, 0, 0, 0, 0, 0, 0, -9, 1]] | -| RevTabl | [[1], [1, -1], [1, -2, 0], [1, -3, 0, 0], [1, -4, 0, 0, 0], [1, -5, 0, 0, 0, 0], [1, -6, 0, 0, 0, 0, 0], [1, -7, 0, 0, 0, 0, 0, 0], [1, -8, 0, 0, 0, 0, 0, 0, 0], [1, -9, 0, 0, 0, 0, 0, 0, 0, 0]] | -| AntiDiag | [[1], [-1], [0, 1], [0, -2], [0, 0, 1], [0, 0, -3], [0, 0, 0, 1], [0, 0, 0, -4], [0, 0, 0, 0, 1], [0, 0, 0, 0, -5]] | -| AccTabl | [[1], [-1, 0], [0, -2, -1], [0, 0, -3, -2], [0, 0, 0, -4, -3], [0, 0, 0, 0, -5, -4], [0, 0, 0, 0, 0, -6, -5], [0, 0, 0, 0, 0, 0, -7, -6], [0, 0, 0, 0, 0, 0, 0, -8, -7], [0, 0, 0, 0, 0, 0, 0, 0, -9, -8]] | -| RevAccTabl | [[1], [0, -1], [-1, -2, 0], [-2, -3, 0, 0], [-3, -4, 0, 0, 0], [-4, -5, 0, 0, 0, 0], [-5, -6, 0, 0, 0, 0, 0], [-6, -7, 0, 0, 0, 0, 0, 0], [-7, -8, 0, 0, 0, 0, 0, 0, 0], [-8, -9, 0, 0, 0, 0, 0, 0, 0, 0]] | -| AccRevTabl | [[1], [1, 0], [1, -1, -1], [1, -2, -2, -2], [1, -3, -3, -3, -3], [1, -4, -4, -4, -4, -4], [1, -5, -5, -5, -5, -5, -5], [1, -6, -6, -6, -6, -6, -6, -6], [1, -7, -7, -7, -7, -7, -7, -7, -7], [1, -8, -8, -8, -8, -8, -8, -8, -8, -8]] | -| DiffxTabl | [[1], [-1, 2], [0, -4, 3], [0, 0, -9, 4], [0, 0, 0, -16, 5], [0, 0, 0, 0, -25, 6], [0, 0, 0, 0, 0, -36, 7], [0, 0, 0, 0, 0, 0, -49, 8], [0, 0, 0, 0, 0, 0, 0, -64, 9], [0, 0, 0, 0, 0, 0, 0, 0, -81, 10]] | - -RisingFact:Inv Row sums - -| Trait | Seq | -| :--- | :--- | -| RowSum | [1, 0, -1, -2, -3, -4, -5, -6, -7, -8] | -| EvenSum | [1, -1, 1, -3, 1, -5, 1, -7, 1, -9] | -| OddSum | [0, 1, -2, 1, -4, 1, -6, 1, -8, 1] | -| AltSum | [1, -2, 3, -4, 5, -6, 7, -8, 9, -10] | -| AccSum | [1, -1, -3, -5, -7, -9, -11, -13, -15, -17] | -| AccRevSum | [1, 1, -1, -5, -11, -19, -29, -41, -55, -71] | -| DiagSum | [1, -1, 1, -2, 1, -3, 1, -4, 1, -5] | - -RisingFact:Inv Transforms - -| Trans | Seq | -| :--- | :--- | -| RowLcm | [1, 1, 2, 3, 4, 5, 6, 7, 8, 9] | -| RowGcd | [1, 1, 2, 3, 4, 5, 6, 7, 8, 9] | -| RowMax | [1, 1, 2, 3, 4, 5, 6, 7, 8, 9] | -| CentralE | [1, -2, 0, 0, 0] | -| CentralO | [-1, 0, 0, 0, 0] | -| ColMiddle | [1, -1, -2, 0, 0, 0, 0, 0, 0, 0] | -| ColLeft | [1, -1, 0, 0, 0, 0, 0, 0, 0, 0] | -| ColRight | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | -| BinConv | [1, 0, -3, -8, -15, -24, -35, -48, -63, -80] | -| InvBinConv | [1, 2, 5, 10, 17, 26, 37, 50, 65, 82] | -| TransSqrs | [0, 1, 2, -3, -20, -55, -114, -203, -328, -495] | -| TransNat0 | [0, 1, 0, -3, -8, -15, -24, -35, -48, -63] | -| TransNat1 | [1, 1, -1, -5, -11, -19, -29, -41, -55, -71] | -| PosHalf | [1, -1, -3, -5, -7, -9, -11, -13, -15, -17] | -| NegHalf | [1, 3, 5, 7, 9, 11, 13, 15, 17, 19] | - -RisingFact:Inv Diagonals as rows - -| DiagRow | Seq | -| :--- | :--- | -| DiagRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]| -| DiagRow1 | [-1, -2, -3, -4, -5, -6, -7, -8, -9, -10]| -| DiagRow2 | [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]| -| DiagRow3 | [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]| -| DiagRow4 | [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]| -| DiagRow5 | [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]| -| DiagRow6 | [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]| -| DiagRow7 | [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]| -| DiagRow8 | [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]| -| DiagRow9 | [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]| - -RisingFact:Inv Diagonals as columns - -| DiagCol | Seq | -| :--- | :--- | -| DiagCol0 | [1, -1, 0, 0, 0, 0, 0, 0, 0, 0] | -| DiagCol1 | [1, -2, 0, 0, 0, 0, 0, 0, 0, 0] | -| DiagCol2 | [1, -3, 0, 0, 0, 0, 0, 0, 0, 0] | -| DiagCol3 | [1, -4, 0, 0, 0, 0, 0, 0, 0, 0] | -| DiagCol4 | [1, -5, 0, 0, 0, 0, 0, 0, 0, 0] | -| DiagCol5 | [1, -6, 0, 0, 0, 0, 0, 0, 0, 0] | -| DiagCol6 | [1, -7, 0, 0, 0, 0, 0, 0, 0, 0] | -| DiagCol7 | [1, -8, 0, 0, 0, 0, 0, 0, 0, 0] | -| DiagCol8 | [1, -9, 0, 0, 0, 0, 0, 0, 0, 0] | -| DiagCol9 | [1, -10, 0, 0, 0, 0, 0, 0, 0, 0] | - -RisingFact:Inv Polynomial values as rows - -| PolyRow | Seq | -| :--- | :--- | -| PolyRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | -| PolyRow1 | [-1, 0, 1, 2, 3, 4, 5, 6, 7, 8] | -| PolyRow2 | [0, -1, 0, 3, 8, 15, 24, 35, 48, 63] | -| PolyRow3 | [0, -2, -4, 0, 16, 50, 108, 196, 320, 486] | -| PolyRow4 | [0, -3, -16, -27, 0, 125, 432, 1029, 2048, 3645] | -| PolyRow5 | [0, -4, -48, -162, -256, 0, 1296, 4802, 12288, 26244] | -| PolyRow6 | [0, -5, -128, -729, -2048, -3125, 0, 16807, 65536, 177147] | -| PolyRow7 | [0, -6, -320, -2916, -12288, -31250, -46656, 0, 262144, 1062882] | -| PolyRow8 | [0, -7, -768, -10935, -65536, -234375, -559872, -823543, 0, 4782969] | -| PolyRow9 | [0, -8, -1792, -39366, -327680, -1562500, -5038848, -11529602, -16777216, 0] | - -RisingFact:Inv Polynomial values as columns - -| PolyCol | Seq | -| :--- | :--- | -| PolyCol0 | [1, -1, 0, 0, 0, 0, 0, 0, 0, 0] | -| PolyCol1 | [1, 0, -1, -2, -3, -4, -5, -6, -7, -8] | -| PolyCol2 | [1, 1, 0, -4, -16, -48, -128, -320, -768, -1792] | -| PolyCol3 | [1, 2, 3, 0, -27, -162, -729, -2916, -10935, -39366] | -| PolyCol4 | [1, 3, 8, 16, 0, -256, -2048, -12288, -65536, -327680] | -| PolyCol5 | [1, 4, 15, 50, 125, 0, -3125, -31250, -234375, -1562500] | -| PolyCol6 | [1, 5, 24, 108, 432, 1296, 0, -46656, -559872, -5038848] | -| PolyCol7 | [1, 6, 35, 196, 1029, 4802, 16807, 0, -823543, -11529602] | -| PolyCol8 | [1, 7, 48, 320, 2048, 12288, 65536, 262144, 0, -16777216] | -| PolyCol9 | [1, 8, 63, 486, 3645, 26244, 177147, 1062882, 4782969, 0] | +| PolyCol0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | +| PolyCol1 | [1, 2, 9, 76, 985, 17046, 366289, 9374968, 278095761, 9375293170] | +| PolyCol2 | [1, 3, 29, 535, 14489, 512531, 22307893, 1151462831, 68717854385, 4653803729899] | +| PolyCol3 | [1, 4, 61, 1738, 71473, 3816196, 250097293, 19413459094, 1741065412993, 177112972757008] | +| PolyCol4 | [1, 5, 105, 4045, 223057, 15926901, 1394255545, 144482398621, 17292476852385, 2347081092007237] | +| PolyCol5 | [1, 6, 161, 7816, 540521, 48327026, 5293933081, 686246464436, 102722207041841, 17434983055176046] | +| PolyCol6 | [1, 7, 229, 13411, 1115305, 119796871, 15758791309, 2452542734923, 440692348915921, 89782296766045615] | +| PolyCol7 | [1, 8, 309, 21190, 2059009, 258229056, 39650385013, 7201740515026, 1510122683778465, 359002323825104044] | +| PolyCol8 | [1, 9, 401, 31513, 3503393, 502442921, 88203045553, 18313749397049, 4389605098172993, 1192791420974551753] | +| PolyCol9 | [1, 10, 505, 44740, 5600377, 903998926, 178584264865, 41723041196656, 11252262417802705, 3440167561753695082] | # RisingFact:Rev [] @@ -251,88 +129,88 @@ RisingFact:Rev Triangle view | :--- | :--- | | Row0 | [1] | | Row1 | [1, 1] | -| Row2 | [1, 2, 2] | -| Row3 | [1, 3, 6, 6] | -| Row4 | [1, 4, 12, 24, 24] | -| Row5 | [1, 5, 20, 60, 120, 120] | -| Row6 | [1, 6, 30, 120, 360, 720, 720] | -| Row7 | [1, 7, 42, 210, 840, 2520, 5040, 5040] | -| Row8 | [1, 8, 56, 336, 1680, 6720, 20160, 40320, 40320] | -| Row9 | [1, 9, 72, 504, 3024, 15120, 60480, 181440, 362880, 362880] | +| Row2 | [6, 2, 1] | +| Row3 | [60, 12, 3, 1] | +| Row4 | [840, 120, 20, 4, 1] | +| Row5 | [15120, 1680, 210, 30, 5, 1] | +| Row6 | [332640, 30240, 3024, 336, 42, 6, 1] | +| Row7 | [8648640, 665280, 55440, 5040, 504, 56, 7, 1] | +| Row8 | [259459200, 17297280, 1235520, 95040, 7920, 720, 72, 8, 1] | +| Row9 | [8821612800, 518918400, 32432400, 2162160, 154440, 11880, 990, 90, 9, 1] | RisingFact:Rev Triangles | Flat | Seq | | :--- | :--- | -| Triangle | [[1], [1, 1], [1, 2, 2], [1, 3, 6, 6], [1, 4, 12, 24, 24], [1, 5, 20, 60, 120, 120], [1, 6, 30, 120, 360, 720, 720], [1, 7, 42, 210, 840, 2520, 5040, 5040], [1, 8, 56, 336, 1680, 6720, 20160, 40320, 40320], [1, 9, 72, 504, 3024, 15120, 60480, 181440, 362880, 362880]] | -| RevTabl | [[1], [1, 1], [2, 2, 1], [6, 6, 3, 1], [24, 24, 12, 4, 1], [120, 120, 60, 20, 5, 1], [720, 720, 360, 120, 30, 6, 1], [5040, 5040, 2520, 840, 210, 42, 7, 1], [40320, 40320, 20160, 6720, 1680, 336, 56, 8, 1], [362880, 362880, 181440, 60480, 15120, 3024, 504, 72, 9, 1]] | -| AntiDiag | [[1], [1], [1, 1], [1, 2], [1, 3, 2], [1, 4, 6], [1, 5, 12, 6], [1, 6, 20, 24], [1, 7, 30, 60, 24], [1, 8, 42, 120, 120]] | -| AccTabl | [[1], [1, 2], [1, 3, 5], [1, 4, 10, 16], [1, 5, 17, 41, 65], [1, 6, 26, 86, 206, 326], [1, 7, 37, 157, 517, 1237, 1957], [1, 8, 50, 260, 1100, 3620, 8660, 13700], [1, 9, 65, 401, 2081, 8801, 28961, 69281, 109601], [1, 10, 82, 586, 3610, 18730, 79210, 260650, 623530, 986410]] | -| RevAccTabl | [[1], [2, 1], [5, 3, 1], [16, 10, 4, 1], [65, 41, 17, 5, 1], [326, 206, 86, 26, 6, 1], [1957, 1237, 517, 157, 37, 7, 1], [13700, 8660, 3620, 1100, 260, 50, 8, 1], [109601, 69281, 28961, 8801, 2081, 401, 65, 9, 1], [986410, 623530, 260650, 79210, 18730, 3610, 586, 82, 10, 1]] | -| AccRevTabl | [[1], [1, 2], [2, 4, 5], [6, 12, 15, 16], [24, 48, 60, 64, 65], [120, 240, 300, 320, 325, 326], [720, 1440, 1800, 1920, 1950, 1956, 1957], [5040, 10080, 12600, 13440, 13650, 13692, 13699, 13700], [40320, 80640, 100800, 107520, 109200, 109536, 109592, 109600, 109601], [362880, 725760, 907200, 967680, 982800, 985824, 986328, 986400, 986409, 986410]] | -| DiffxTabl | [[1], [1, 2], [1, 4, 6], [1, 6, 18, 24], [1, 8, 36, 96, 120], [1, 10, 60, 240, 600, 720], [1, 12, 90, 480, 1800, 4320, 5040], [1, 14, 126, 840, 4200, 15120, 35280, 40320], [1, 16, 168, 1344, 8400, 40320, 141120, 322560, 362880], [1, 18, 216, 2016, 15120, 90720, 423360, 1451520, 3265920, 3628800]] | +| Triangle | [[1], [1, 1], [6, 2, 1], [60, 12, 3, 1], [840, 120, 20, 4, 1], [15120, 1680, 210, 30, 5, 1], [332640, 30240, 3024, 336, 42, 6, 1], [8648640, 665280, 55440, 5040, 504, 56, 7, 1], [259459200, 17297280, 1235520, 95040, 7920, 720, 72, 8, 1], [8821612800, 518918400, 32432400, 2162160, 154440, 11880, 990, 90, 9, 1]] | +| RevTabl | [[1], [1, 1], [1, 2, 6], [1, 3, 12, 60], [1, 4, 20, 120, 840], [1, 5, 30, 210, 1680, 15120], [1, 6, 42, 336, 3024, 30240, 332640], [1, 7, 56, 504, 5040, 55440, 665280, 8648640], [1, 8, 72, 720, 7920, 95040, 1235520, 17297280, 259459200], [1, 9, 90, 990, 11880, 154440, 2162160, 32432400, 518918400, 8821612800]] | +| AntiDiag | [[1], [1], [6, 1], [60, 2], [840, 12, 1], [15120, 120, 3], [332640, 1680, 20, 1], [8648640, 30240, 210, 4], [259459200, 665280, 3024, 30, 1], [8821612800, 17297280, 55440, 336, 5]] | +| AccTabl | [[1], [1, 2], [6, 8, 9], [60, 72, 75, 76], [840, 960, 980, 984, 985], [15120, 16800, 17010, 17040, 17045, 17046], [332640, 362880, 365904, 366240, 366282, 366288, 366289], [8648640, 9313920, 9369360, 9374400, 9374904, 9374960, 9374967, 9374968], [259459200, 276756480, 277992000, 278087040, 278094960, 278095680, 278095752, 278095760, 278095761], [8821612800, 9340531200, 9372963600, 9375125760, 9375280200, 9375292080, 9375293070, 9375293160, 9375293169, 9375293170]] | +| RevAccTabl | [[1], [2, 1], [9, 8, 6], [76, 75, 72, 60], [985, 984, 980, 960, 840], [17046, 17045, 17040, 17010, 16800, 15120], [366289, 366288, 366282, 366240, 365904, 362880, 332640], [9374968, 9374967, 9374960, 9374904, 9374400, 9369360, 9313920, 8648640], [278095761, 278095760, 278095752, 278095680, 278094960, 278087040, 277992000, 276756480, 259459200], [9375293170, 9375293169, 9375293160, 9375293070, 9375292080, 9375280200, 9375125760, 9372963600, 9340531200, 8821612800]] | +| AccRevTabl | [[1], [1, 2], [1, 3, 9], [1, 4, 16, 76], [1, 5, 25, 145, 985], [1, 6, 36, 246, 1926, 17046], [1, 7, 49, 385, 3409, 33649, 366289], [1, 8, 64, 568, 5608, 61048, 726328, 9374968], [1, 9, 81, 801, 8721, 103761, 1339281, 18636561, 278095761], [1, 10, 100, 1090, 12970, 167410, 2329570, 34761970, 553680370, 9375293170]] | +| DiffxTabl | [[1], [1, 2], [6, 4, 3], [60, 24, 9, 4], [840, 240, 60, 16, 5], [15120, 3360, 630, 120, 25, 6], [332640, 60480, 9072, 1344, 210, 36, 7], [8648640, 1330560, 166320, 20160, 2520, 336, 49, 8], [259459200, 34594560, 3706560, 380160, 39600, 4320, 504, 64, 9], [8821612800, 1037836800, 97297200, 8648640, 772200, 71280, 6930, 720, 81, 10]] | RisingFact:Rev Row sums | Trait | Seq | | :--- | :--- | -| RowSum | [1, 2, 5, 16, 65, 326, 1957, 13700, 109601, 986410] | -| EvenSum | [1, 1, 3, 7, 37, 141, 1111, 5923, 62217, 426457] | -| OddSum | [0, 1, 2, 9, 28, 185, 846, 7777, 47384, 559953] | -| AltSum | [1, 0, 1, -2, 9, -44, 265, -1854, 14833, -133496] | -| AccSum | [1, 3, 9, 31, 129, 651, 3913, 27399, 219201, 1972819] | -| AccRevSum | [1, 3, 11, 49, 261, 1631, 11743, 95901, 876809, 8877691] | -| DiagSum | [1, 1, 2, 3, 6, 11, 24, 51, 122, 291] | +| RowSum | [1, 2, 9, 76, 985, 17046, 366289, 9374968, 278095761, 9375293170] | +| EvenSum | [1, 1, 7, 63, 861, 15335, 335707, 8704591, 260702713, 8854200639] | +| OddSum | [0, 1, 2, 13, 124, 1711, 30582, 670377, 17393048, 521092531] | +| AltSum | [1, 0, 5, 50, 737, 13624, 305125, 8034214, 243309665, 8333108108] | +| AccSum | [1, 3, 23, 283, 4749, 100061, 2526523, 74206119, 2482772633, 93161978209] | +| AccRevSum | [1, 3, 13, 97, 1161, 19261, 403789, 10168593, 298184977, 9966246661] | +| DiagSum | [1, 1, 7, 62, 853, 15243, 334341, 8679094, 260127535, 8838965861] | RisingFact:Rev Transforms | Trans | Seq | | :--- | :--- | -| RowLcm | [1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880] | +| RowLcm | [1, 1, 6, 60, 840, 15120, 332640, 8648640, 259459200, 8821612800] | | RowGcd | [1, 1, 2, 3, 4, 5, 6, 7, 8, 9] | -| RowMax | [1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880] | -| CentralE | [1, 2, 12, 120, 1680] | -| CentralO | [1, 3, 20, 210, 3024] | -| ColMiddle | [1, 1, 2, 3, 12, 20, 120, 210, 1680, 3024] | -| ColLeft | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | -| ColRight | [1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880] | -| BinConv | [1, 2, 7, 34, 209, 1546, 13327, 130922, 1441729, 17572114] | -| InvBinConv | [1, 0, -1, -4, -15, -56, -185, -204, 6209, 112400] | -| TransSqrs | [0, 1, 10, 81, 652, 5545, 50886, 506905, 5480056, 64116657] | -| TransNat0 | [0, 1, 6, 33, 196, 1305, 9786, 82201, 767208, 7891281] | -| TransNat1 | [1, 3, 11, 49, 261, 1631, 11743, 95901, 876809, 8877691] | -| PosHalf | [1, 3, 10, 38, 168, 872, 5296, 37200, 297856, 2681216] | -| NegHalf | [1, -1, 2, -2, 8, 8, 112, 656, 5504, 49024] | +| RowMax | [1, 1, 6, 60, 840, 15120, 332640, 8648640, 259459200, 8821612800] | +| CentralE | [1, 2, 20, 336, 7920] | +| CentralO | [1, 12, 210, 5040, 154440] | +| ColMiddle | [1, 1, 2, 12, 20, 210, 336, 5040, 7920, 154440] | +| ColLeft | [1, 1, 6, 60, 840, 15120, 332640, 8648640, 259459200, 8821612800] | +| ColRight | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | +| BinConv | [1, 2, 11, 106, 1457, 25946, 566827, 14665106, 438351041, 14862109042] | +| InvBinConv | [1, 0, 3, -32, 465, -8544, 190435, -4996032, 150869313, -5155334720] | +| TransSqrs | [0, 1, 6, 33, 252, 2895, 46218, 942165, 23242488, 670916187] | +| TransNat0 | [0, 1, 4, 21, 176, 2215, 37500, 793625, 20089216, 590953491] | +| TransNat1 | [1, 3, 13, 97, 1161, 19261, 403789, 10168593, 298184977, 9966246661] | +| PosHalf | [1, 3, 29, 535, 14489, 512531, 22307893, 1151462831, 68717854385, 4653803729899] | +| NegHalf | [1, -1, 21, -437, 12553, -458529, 20367133, -1066145261, 64283656593, -4387840371737] | RisingFact:Rev Diagonals as rows | DiagRow | Seq | | :--- | :--- | -| DiagRow0 | [1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880]| -| DiagRow1 | [1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800]| -| DiagRow2 | [1, 3, 12, 60, 360, 2520, 20160, 181440, 1814400, 19958400]| -| DiagRow3 | [1, 4, 20, 120, 840, 6720, 60480, 604800, 6652800, 79833600]| -| DiagRow4 | [1, 5, 30, 210, 1680, 15120, 151200, 1663200, 19958400, 259459200]| -| DiagRow5 | [1, 6, 42, 336, 3024, 30240, 332640, 3991680, 51891840, 726485760]| -| DiagRow6 | [1, 7, 56, 504, 5040, 55440, 665280, 8648640, 121080960, 1816214400]| -| DiagRow7 | [1, 8, 72, 720, 7920, 95040, 1235520, 17297280, 259459200, 4151347200]| -| DiagRow8 | [1, 9, 90, 990, 11880, 154440, 2162160, 32432400, 518918400, 8821612800]| -| DiagRow9 | [1, 10, 110, 1320, 17160, 240240, 3603600, 57657600, 980179200, 17643225600]| +| DiagRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]| +| DiagRow1 | [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]| +| DiagRow2 | [6, 12, 20, 30, 42, 56, 72, 90, 110, 132]| +| DiagRow3 | [60, 120, 210, 336, 504, 720, 990, 1320, 1716, 2184]| +| DiagRow4 | [840, 1680, 3024, 5040, 7920, 11880, 17160, 24024, 32760, 43680]| +| DiagRow5 | [15120, 30240, 55440, 95040, 154440, 240240, 360360, 524160, 742560, 1028160]| +| DiagRow6 | [332640, 665280, 1235520, 2162160, 3603600, 5765760, 8910720, 13366080, 19535040, 27907200]| +| DiagRow7 | [8648640, 17297280, 32432400, 57657600, 98017920, 160392960, 253955520, 390700800, 586051200, 859541760]| +| DiagRow8 | [259459200, 518918400, 980179200, 1764322560, 3047466240, 5079110400, 8204716800, 12893126400, 19769460480, 29654190720]| +| DiagRow9 | [8821612800, 17643225600, 33522128640, 60949324800, 106661318400, 180503769600, 296541907200, 474467051520, 741354768000, 1133836704000]| RisingFact:Rev Diagonals as columns | DiagCol | Seq | | :--- | :--- | -| DiagCol0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | -| DiagCol1 | [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] | -| DiagCol2 | [2, 6, 12, 20, 30, 42, 56, 72, 90, 110] | -| DiagCol3 | [6, 24, 60, 120, 210, 336, 504, 720, 990, 1320] | -| DiagCol4 | [24, 120, 360, 840, 1680, 3024, 5040, 7920, 11880, 17160] | -| DiagCol5 | [120, 720, 2520, 6720, 15120, 30240, 55440, 95040, 154440, 240240] | -| DiagCol6 | [720, 5040, 20160, 60480, 151200, 332640, 665280, 1235520, 2162160, 3603600] | -| DiagCol7 | [5040, 40320, 181440, 604800, 1663200, 3991680, 8648640, 17297280, 32432400, 57657600] | -| DiagCol8 | [40320, 362880, 1814400, 6652800, 19958400, 51891840, 121080960, 259459200, 518918400, 980179200] | -| DiagCol9 | [362880, 3628800, 19958400, 79833600, 259459200, 726485760, 1816214400, 4151347200, 8821612800, 17643225600] | +| DiagCol0 | [1, 1, 6, 60, 840, 15120, 332640, 8648640, 259459200, 8821612800] | +| DiagCol1 | [1, 2, 12, 120, 1680, 30240, 665280, 17297280, 518918400, 17643225600] | +| DiagCol2 | [1, 3, 20, 210, 3024, 55440, 1235520, 32432400, 980179200, 33522128640] | +| DiagCol3 | [1, 4, 30, 336, 5040, 95040, 2162160, 57657600, 1764322560, 60949324800] | +| DiagCol4 | [1, 5, 42, 504, 7920, 154440, 3603600, 98017920, 3047466240, 106661318400] | +| DiagCol5 | [1, 6, 56, 720, 11880, 240240, 5765760, 160392960, 5079110400, 180503769600] | +| DiagCol6 | [1, 7, 72, 990, 17160, 360360, 8910720, 253955520, 8204716800, 296541907200] | +| DiagCol7 | [1, 8, 90, 1320, 24024, 524160, 13366080, 390700800, 12893126400, 474467051520] | +| DiagCol8 | [1, 9, 110, 1716, 32760, 742560, 19535040, 586051200, 19769460480, 741354768000] | +| DiagCol9 | [1, 10, 132, 2184, 43680, 1028160, 27907200, 859541760, 29654190720, 1133836704000] | RisingFact:Rev Polynomial values as rows @@ -340,149 +218,149 @@ RisingFact:Rev Polynomial values as rows | :--- | :--- | | PolyRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | | PolyRow1 | [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] | -| PolyRow2 | [1, 5, 13, 25, 41, 61, 85, 113, 145, 181] | -| PolyRow3 | [1, 16, 79, 226, 493, 916, 1531, 2374, 3481, 4888] | -| PolyRow4 | [1, 65, 633, 2713, 7889, 18321, 36745, 66473, 111393, 175969] | -| PolyRow5 | [1, 326, 6331, 40696, 157781, 458026, 1102351, 2326556, 4455721, 7918606] | -| PolyRow6 | [1, 1957, 75973, 732529, 3786745, 13740781, 39684637, 97715353, 213874609, 427604725] | -| PolyRow7 | [1, 13700, 1063623, 15383110, 106028861, 480927336, 1666754755, 4788052298, 11976978105, 26939097676] | -| PolyRow8 | [1, 109601, 17017969, 369194641, 3392923553, 19237093441, 80004228241, 268130928689, 766526598721, 1939615032673] | -| PolyRow9 | [1, 986410, 306323443, 9968255308, 122145247909, 865669204846, 4320228325015, 16892248507408, 55189915107913, 157108817646514] | +| PolyRow2 | [6, 9, 14, 21, 30, 41, 54, 69, 86, 105] | +| PolyRow3 | [60, 76, 104, 150, 220, 320, 456, 634, 860, 1140] | +| PolyRow4 | [840, 985, 1208, 1569, 2152, 3065, 4440, 6433, 9224, 13017] | +| PolyRow5 | [15120, 17046, 19672, 23508, 29424, 38770, 53496, 76272, 110608, 160974] | +| PolyRow6 | [332640, 366289, 408832, 465237, 544480, 662065, 843264, 1127077, 1570912, 2255985] | +| PolyRow7 | [8648640, 9374968, 10251712, 11341242, 12750784, 14668540, 17419968, 21549262, 27931072, 37917504] | +| PolyRow8 | [259459200, 278095761, 299911808, 325929825, 357755520, 398054225, 451391616, 525620193, 634033280, 798548625] | +| PolyRow9 | [8821612800, 9375293170, 10009405376, 10745031672, 11612666368, 12658903550, 13958827200, 15638155876, 17911008512, 21141335178] | RisingFact:Rev Polynomial values as columns | PolyCol | Seq | | :--- | :--- | -| PolyCol0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | -| PolyCol1 | [1, 2, 5, 16, 65, 326, 1957, 13700, 109601, 986410] | -| PolyCol2 | [1, 3, 13, 79, 633, 6331, 75973, 1063623, 17017969, 306323443] | -| PolyCol3 | [1, 4, 25, 226, 2713, 40696, 732529, 15383110, 369194641, 9968255308] | -| PolyCol4 | [1, 5, 41, 493, 7889, 157781, 3786745, 106028861, 3392923553, 122145247909] | -| PolyCol5 | [1, 6, 61, 916, 18321, 458026, 13740781, 480927336, 19237093441, 865669204846] | -| PolyCol6 | [1, 7, 85, 1531, 36745, 1102351, 39684637, 1666754755, 80004228241, 4320228325015] | -| PolyCol7 | [1, 8, 113, 2374, 66473, 2326556, 97715353, 4788052298, 268130928689, 16892248507408] | -| PolyCol8 | [1, 9, 145, 3481, 111393, 4455721, 213874609, 11976978105, 766526598721, 55189915107913] | -| PolyCol9 | [1, 10, 181, 4888, 175969, 7918606, 427604725, 26939097676, 1939615032673, 157108817646514] | - -# RisingFact:Inv:Rev +| PolyCol0 | [1, 1, 6, 60, 840, 15120, 332640, 8648640, 259459200, 8821612800] | +| PolyCol1 | [1, 2, 9, 76, 985, 17046, 366289, 9374968, 278095761, 9375293170] | +| PolyCol2 | [1, 3, 14, 104, 1208, 19672, 408832, 10251712, 299911808, 10009405376] | +| PolyCol3 | [1, 4, 21, 150, 1569, 23508, 465237, 11341242, 325929825, 10745031672] | +| PolyCol4 | [1, 5, 30, 220, 2152, 29424, 544480, 12750784, 357755520, 11612666368] | +| PolyCol5 | [1, 6, 41, 320, 3065, 38770, 662065, 14668540, 398054225, 12658903550] | +| PolyCol6 | [1, 7, 54, 456, 4440, 53496, 843264, 17419968, 451391616, 13958827200] | +| PolyCol7 | [1, 8, 69, 634, 6433, 76272, 1127077, 21549262, 525620193, 15638155876] | +| PolyCol8 | [1, 9, 86, 860, 9224, 110608, 1570912, 27931072, 634033280, 17911008512] | +| PolyCol9 | [1, 10, 105, 1140, 13017, 160974, 2255985, 37917504, 798548625, 21141335178] | + +# RisingFact:Rev:Inv [] -RisingFact:Inv:Rev Triangle view +RisingFact:Rev:Inv Triangle view | Row | Seq | | :--- | :--- | | Row0 | [1] | -| Row1 | [1, -1] | -| Row2 | [1, -2, 0] | -| Row3 | [1, -3, 0, 0] | -| Row4 | [1, -4, 0, 0, 0] | -| Row5 | [1, -5, 0, 0, 0, 0] | -| Row6 | [1, -6, 0, 0, 0, 0, 0] | -| Row7 | [1, -7, 0, 0, 0, 0, 0, 0] | -| Row8 | [1, -8, 0, 0, 0, 0, 0, 0, 0] | -| Row9 | [1, -9, 0, 0, 0, 0, 0, 0, 0, 0] | - -RisingFact:Inv:Rev Triangles +| Row1 | [-1, 1] | +| Row2 | [-4, -2, 1] | +| Row3 | [-36, -6, -3, 1] | +| Row4 | [-496, -56, -8, -4, 1] | +| Row5 | [-9040, -800, -80, -10, -5, 1] | +| Row6 | [-203136, -15024, -1200, -108, -12, -6, 1] | +| Row7 | [-5401984, -345968, -23408, -1708, -140, -14, -7, 1] | +| Row8 | [-165519616, -9387008, -555776, -34720, -2336, -176, -16, -8, 1] | +| Row9 | [-5734169856, -292434048, -15463296, -852480, -49536, -3096, -216, -18, -9, 1] | + +RisingFact:Rev:Inv Triangles | Flat | Seq | | :--- | :--- | -| Triangle | [[1], [1, -1], [1, -2, 0], [1, -3, 0, 0], [1, -4, 0, 0, 0], [1, -5, 0, 0, 0, 0], [1, -6, 0, 0, 0, 0, 0], [1, -7, 0, 0, 0, 0, 0, 0], [1, -8, 0, 0, 0, 0, 0, 0, 0], [1, -9, 0, 0, 0, 0, 0, 0, 0, 0]] | -| RevTabl | [[1], [-1, 1], [0, -2, 1], [0, 0, -3, 1], [0, 0, 0, -4, 1], [0, 0, 0, 0, -5, 1], [0, 0, 0, 0, 0, -6, 1], [0, 0, 0, 0, 0, 0, -7, 1], [0, 0, 0, 0, 0, 0, 0, -8, 1], [0, 0, 0, 0, 0, 0, 0, 0, -9, 1]] | -| AntiDiag | [[1], [1], [1, -1], [1, -2], [1, -3, 0], [1, -4, 0], [1, -5, 0, 0], [1, -6, 0, 0], [1, -7, 0, 0, 0], [1, -8, 0, 0, 0]] | -| AccTabl | [[1], [1, 0], [1, -1, -1], [1, -2, -2, -2], [1, -3, -3, -3, -3], [1, -4, -4, -4, -4, -4], [1, -5, -5, -5, -5, -5, -5], [1, -6, -6, -6, -6, -6, -6, -6], [1, -7, -7, -7, -7, -7, -7, -7, -7], [1, -8, -8, -8, -8, -8, -8, -8, -8, -8]] | -| RevAccTabl | [[1], [0, 1], [-1, -1, 1], [-2, -2, -2, 1], [-3, -3, -3, -3, 1], [-4, -4, -4, -4, -4, 1], [-5, -5, -5, -5, -5, -5, 1], [-6, -6, -6, -6, -6, -6, -6, 1], [-7, -7, -7, -7, -7, -7, -7, -7, 1], [-8, -8, -8, -8, -8, -8, -8, -8, -8, 1]] | -| AccRevTabl | [[1], [-1, 0], [0, -2, -1], [0, 0, -3, -2], [0, 0, 0, -4, -3], [0, 0, 0, 0, -5, -4], [0, 0, 0, 0, 0, -6, -5], [0, 0, 0, 0, 0, 0, -7, -6], [0, 0, 0, 0, 0, 0, 0, -8, -7], [0, 0, 0, 0, 0, 0, 0, 0, -9, -8]] | -| DiffxTabl | [[1], [1, -2], [1, -4, 0], [1, -6, 0, 0], [1, -8, 0, 0, 0], [1, -10, 0, 0, 0, 0], [1, -12, 0, 0, 0, 0, 0], [1, -14, 0, 0, 0, 0, 0, 0], [1, -16, 0, 0, 0, 0, 0, 0, 0], [1, -18, 0, 0, 0, 0, 0, 0, 0, 0]] | +| Triangle | [[1], [-1, 1], [-4, -2, 1], [-36, -6, -3, 1], [-496, -56, -8, -4, 1], [-9040, -800, -80, -10, -5, 1], [-203136, -15024, -1200, -108, -12, -6, 1], [-5401984, -345968, -23408, -1708, -140, -14, -7, 1], [-165519616, -9387008, -555776, -34720, -2336, -176, -16, -8, 1], [-5734169856, -292434048, -15463296, -852480, -49536, -3096, -216, -18, -9, 1]] | +| RevTabl | [[1], [1, -1], [1, -2, -4], [1, -3, -6, -36], [1, -4, -8, -56, -496], [1, -5, -10, -80, -800, -9040], [1, -6, -12, -108, -1200, -15024, -203136], [1, -7, -14, -140, -1708, -23408, -345968, -5401984], [1, -8, -16, -176, -2336, -34720, -555776, -9387008, -165519616], [1, -9, -18, -216, -3096, -49536, -852480, -15463296, -292434048, -5734169856]] | +| AntiDiag | [[1], [-1], [-4, 1], [-36, -2], [-496, -6, 1], [-9040, -56, -3], [-203136, -800, -8, 1], [-5401984, -15024, -80, -4], [-165519616, -345968, -1200, -10, 1], [-5734169856, -9387008, -23408, -108, -5]] | +| AccTabl | [[1], [-1, 0], [-4, -6, -5], [-36, -42, -45, -44], [-496, -552, -560, -564, -563], [-9040, -9840, -9920, -9930, -9935, -9934], [-203136, -218160, -219360, -219468, -219480, -219486, -219485], [-5401984, -5747952, -5771360, -5773068, -5773208, -5773222, -5773229, -5773228], [-165519616, -174906624, -175462400, -175497120, -175499456, -175499632, -175499648, -175499656, -175499655], [-5734169856, -6026603904, -6042067200, -6042919680, -6042969216, -6042972312, -6042972528, -6042972546, -6042972555, -6042972554]] | +| RevAccTabl | [[1], [0, -1], [-5, -6, -4], [-44, -45, -42, -36], [-563, -564, -560, -552, -496], [-9934, -9935, -9930, -9920, -9840, -9040], [-219485, -219486, -219480, -219468, -219360, -218160, -203136], [-5773228, -5773229, -5773222, -5773208, -5773068, -5771360, -5747952, -5401984], [-175499655, -175499656, -175499648, -175499632, -175499456, -175497120, -175462400, -174906624, -165519616], [-6042972554, -6042972555, -6042972546, -6042972528, -6042972312, -6042969216, -6042919680, -6042067200, -6026603904, -5734169856]] | +| AccRevTabl | [[1], [1, 0], [1, -1, -5], [1, -2, -8, -44], [1, -3, -11, -67, -563], [1, -4, -14, -94, -894, -9934], [1, -5, -17, -125, -1325, -16349, -219485], [1, -6, -20, -160, -1868, -25276, -371244, -5773228], [1, -7, -23, -199, -2535, -37255, -593031, -9980039, -175499655], [1, -8, -26, -242, -3338, -52874, -905354, -16368650, -308802698, -6042972554]] | +| DiffxTabl | [[1], [-1, 2], [-4, -4, 3], [-36, -12, -9, 4], [-496, -112, -24, -16, 5], [-9040, -1600, -240, -40, -25, 6], [-203136, -30048, -3600, -432, -60, -36, 7], [-5401984, -691936, -70224, -6832, -700, -84, -49, 8], [-165519616, -18774016, -1667328, -138880, -11680, -1056, -112, -64, 9], [-5734169856, -584868096, -46389888, -3409920, -247680, -18576, -1512, -144, -81, 10]] | -RisingFact:Inv:Rev Row sums +RisingFact:Rev:Inv Row sums | Trait | Seq | | :--- | :--- | -| RowSum | [1, 0, -1, -2, -3, -4, -5, -6, -7, -8] | -| EvenSum | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | -| OddSum | [0, -1, -2, -3, -4, -5, -6, -7, -8, -9] | -| AltSum | [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] | -| AccSum | [1, 1, -1, -5, -11, -19, -29, -41, -55, -71] | -| AccRevSum | [1, -1, -3, -5, -7, -9, -11, -13, -15, -17] | -| DiagSum | [1, 1, 0, -1, -2, -3, -4, -5, -6, -7] | +| RowSum | [1, 0, -5, -44, -563, -9934, -219485, -5773228, -175499655, -6042972554] | +| EvenSum | [1, -1, -3, -39, -503, -9125, -204347, -5425539, -166077743, -5749682913] | +| OddSum | [0, 1, -2, -5, -60, -809, -15138, -347689, -9421912, -293289641] | +| AltSum | [1, -2, -1, -34, -443, -8316, -189209, -5077850, -156655831, -5456393272] | +| AccSum | [1, -1, -15, -167, -2735, -58599, -1518575, -45787251, -1568883807, -60103592351] | +| AccRevSum | [1, 1, -5, -53, -643, -10939, -237305, -6171801, -186112743, -6369105743] | +| DiagSum | [1, -1, -3, -38, -501, -9099, -203943, -5417092, -165866793, -5743580385] | -RisingFact:Inv:Rev Transforms +RisingFact:Rev:Inv Transforms | Trans | Seq | | :--- | :--- | -| RowLcm | [1, 1, 2, 3, 4, 5, 6, 7, 8, 9] | +| RowLcm | [1, 1, 4, 36, 3472, 90400, 14305852800, 1063695513077120, 157260241978386426880, 932582012970654073013760] | | RowGcd | [1, 1, 2, 3, 4, 5, 6, 7, 8, 9] | -| RowMax | [1, 1, 2, 3, 4, 5, 6, 7, 8, 9] | -| CentralE | [1, -2, 0, 0, 0] | -| CentralO | [1, -3, 0, 0, 0] | -| ColMiddle | [1, 1, -2, -3, 0, 0, 0, 0, 0, 0] | -| ColLeft | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | -| ColRight | [1, -1, 0, 0, 0, 0, 0, 0, 0, 0] | -| BinConv | [1, 0, -3, -8, -15, -24, -35, -48, -63, -80] | -| InvBinConv | [1, -2, 5, -10, 17, -26, 37, -50, 65, -82] | -| TransSqrs | [0, -1, -2, -3, -4, -5, -6, -7, -8, -9] | -| TransNat0 | [0, -1, -2, -3, -4, -5, -6, -7, -8, -9] | -| TransNat1 | [1, -1, -3, -5, -7, -9, -11, -13, -15, -17] | -| PosHalf | [1, 1, 0, -4, -16, -48, -128, -320, -768, -1792] | -| NegHalf | [1, -3, 8, -20, 48, -112, 256, -576, 1280, -2816] | +| RowMax | [1, 1, 4, 36, 496, 9040, 203136, 5401984, 165519616, 5734169856] | +| CentralE | [1, -2, -8, -108, -2336] | +| CentralO | [-1, -6, -80, -1708, -49536] | +| ColMiddle | [1, -1, -2, -6, -8, -80, -108, -1708, -2336, -49536] | +| ColLeft | [1, -1, -4, -36, -496, -9040, -203136, -5401984, -165519616, -5734169856] | +| ColRight | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | +| BinConv | [1, 0, -7, -62, -783, -13964, -313655, -8380350, -258295615, -9001013768] | +| InvBinConv | [1, 2, 1, 28, -303, 5766, -128975, 3416652, -104195007, 3593202778] | +| TransSqrs | [0, 1, 2, -9, -108, -1265, -21102, -457765, -11965272, -362838681] | +| TransNat0 | [0, 1, 0, -9, -80, -1005, -17820, -398573, -10613088, -326133189] | +| TransNat1 | [1, 1, -5, -53, -643, -10939, -237305, -6171801, -186112743, -6369105743] | +| PosHalf | [1, -1, -19, -317, -8423, -302769, -13501595, -714373477, -43611278287, -3012793579673] | +| NegHalf | [1, 3, -11, 271, -7511, 277091, -12538307, 670034807, -41205979311, 2862958130443] | -RisingFact:Inv:Rev Diagonals as rows +RisingFact:Rev:Inv Diagonals as rows | DiagRow | Seq | | :--- | :--- | -| DiagRow0 | [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]| -| DiagRow1 | [1, -2, 0, 0, 0, 0, 0, 0, 0, 0]| -| DiagRow2 | [1, -3, 0, 0, 0, 0, 0, 0, 0, 0]| -| DiagRow3 | [1, -4, 0, 0, 0, 0, 0, 0, 0, 0]| -| DiagRow4 | [1, -5, 0, 0, 0, 0, 0, 0, 0, 0]| -| DiagRow5 | [1, -6, 0, 0, 0, 0, 0, 0, 0, 0]| -| DiagRow6 | [1, -7, 0, 0, 0, 0, 0, 0, 0, 0]| -| DiagRow7 | [1, -8, 0, 0, 0, 0, 0, 0, 0, 0]| -| DiagRow8 | [1, -9, 0, 0, 0, 0, 0, 0, 0, 0]| -| DiagRow9 | [1, -10, 0, 0, 0, 0, 0, 0, 0, 0]| - -RisingFact:Inv:Rev Diagonals as columns +| DiagRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]| +| DiagRow1 | [-1, -2, -3, -4, -5, -6, -7, -8, -9, -10]| +| DiagRow2 | [-4, -6, -8, -10, -12, -14, -16, -18, -20, -22]| +| DiagRow3 | [-36, -56, -80, -108, -140, -176, -216, -260, -308, -360]| +| DiagRow4 | [-496, -800, -1200, -1708, -2336, -3096, -4000, -5060, -6288, -7696]| +| DiagRow5 | [-9040, -15024, -23408, -34720, -49536, -68480, -92224, -121488, -157040, -199696]| +| DiagRow6 | [-203136, -345968, -555776, -852480, -1259360, -1803296, -2515008, -3429296, -4585280, -6026640]| +| DiagRow7 | [-5401984, -9387008, -15463296, -24388960, -37101152, -54740544, -78677248, -110538176, -152235840, -205998592]| +| DiagRow8 | [-165519616, -292434048, -491899520, -794255968, -1238802432, -1875550976, -2767182208, -3991212480, -5642382848, -7835279872]| +| DiagRow9 | [-5734169856, -10271527040, -17583209600, -28962914304, -46153802240, -71460427136, -107879372160, -159250449920, -230430401024, -327491107200]| + +RisingFact:Rev:Inv Diagonals as columns | DiagCol | Seq | | :--- | :--- | -| DiagCol0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | -| DiagCol1 | [-1, -2, -3, -4, -5, -6, -7, -8, -9, -10] | -| DiagCol2 | [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] | -| DiagCol3 | [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] | -| DiagCol4 | [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] | -| DiagCol5 | [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] | -| DiagCol6 | [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] | -| DiagCol7 | [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] | -| DiagCol8 | [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] | -| DiagCol9 | [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] | - -RisingFact:Inv:Rev Polynomial values as rows +| DiagCol0 | [1, -1, -4, -36, -496, -9040, -203136, -5401984, -165519616, -5734169856] | +| DiagCol1 | [1, -2, -6, -56, -800, -15024, -345968, -9387008, -292434048, -10271527040] | +| DiagCol2 | [1, -3, -8, -80, -1200, -23408, -555776, -15463296, -491899520, -17583209600] | +| DiagCol3 | [1, -4, -10, -108, -1708, -34720, -852480, -24388960, -794255968, -28962914304] | +| DiagCol4 | [1, -5, -12, -140, -2336, -49536, -1259360, -37101152, -1238802432, -46153802240] | +| DiagCol5 | [1, -6, -14, -176, -3096, -68480, -1803296, -54740544, -1875550976, -71460427136] | +| DiagCol6 | [1, -7, -16, -216, -4000, -92224, -2515008, -78677248, -2767182208, -107879372160] | +| DiagCol7 | [1, -8, -18, -260, -5060, -121488, -3429296, -110538176, -3991212480, -159250449920] | +| DiagCol8 | [1, -9, -20, -308, -6288, -157040, -4585280, -152235840, -5642382848, -230430401024] | +| DiagCol9 | [1, -10, -22, -360, -7696, -199696, -6026640, -205998592, -7835279872, -327491107200] | + +RisingFact:Rev:Inv Polynomial values as rows | PolyRow | Seq | | :--- | :--- | | PolyRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | -| PolyRow1 | [1, 0, -1, -2, -3, -4, -5, -6, -7, -8] | -| PolyRow2 | [1, -1, -3, -5, -7, -9, -11, -13, -15, -17] | -| PolyRow3 | [1, -2, -5, -8, -11, -14, -17, -20, -23, -26] | -| PolyRow4 | [1, -3, -7, -11, -15, -19, -23, -27, -31, -35] | -| PolyRow5 | [1, -4, -9, -14, -19, -24, -29, -34, -39, -44] | -| PolyRow6 | [1, -5, -11, -17, -23, -29, -35, -41, -47, -53] | -| PolyRow7 | [1, -6, -13, -20, -27, -34, -41, -48, -55, -62] | -| PolyRow8 | [1, -7, -15, -23, -31, -39, -47, -55, -63, -71] | -| PolyRow9 | [1, -8, -17, -26, -35, -44, -53, -62, -71, -80] | - -RisingFact:Inv:Rev Polynomial values as columns +| PolyRow1 | [-1, 0, 1, 2, 3, 4, 5, 6, 7, 8] | +| PolyRow2 | [-4, -5, -4, -1, 4, 11, 20, 31, 44, 59] | +| PolyRow3 | [-36, -44, -52, -54, -44, -16, 36, 118, 236, 396] | +| PolyRow4 | [-496, -563, -656, -763, -848, -851, -688, -251, 592, 1997] | +| PolyRow5 | [-9040, -9934, -11088, -12592, -14416, -16290, -17584, -17188, -13392, -3766] | +| PolyRow6 | [-203136, -219485, -239168, -263625, -294464, -332381, -375360, -416153, -439040, -415869] | +| PolyRow7 | [-5401984, -5773228, -6204224, -6714334, -7332160, -8093024, -9026368, -10128034, -11312384, -12339220] | +| PolyRow8 | [-165519616, -175499655, -186839296, -199874647, -215091456, -233183431, -255051520, -281643351, -313491712, -349770631] | +| PolyRow9 | [-5734169856, -6042972554, -6388620544, -6778659564, -7223236352, -7736461246, -8338017024, -9054046304, -9915261184, -10948767282] | + +RisingFact:Rev:Inv Polynomial values as columns | PolyCol | Seq | | :--- | :--- | -| PolyCol0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] | -| PolyCol1 | [1, 0, -1, -2, -3, -4, -5, -6, -7, -8] | -| PolyCol2 | [1, -1, -3, -5, -7, -9, -11, -13, -15, -17] | -| PolyCol3 | [1, -2, -5, -8, -11, -14, -17, -20, -23, -26] | -| PolyCol4 | [1, -3, -7, -11, -15, -19, -23, -27, -31, -35] | -| PolyCol5 | [1, -4, -9, -14, -19, -24, -29, -34, -39, -44] | -| PolyCol6 | [1, -5, -11, -17, -23, -29, -35, -41, -47, -53] | -| PolyCol7 | [1, -6, -13, -20, -27, -34, -41, -48, -55, -62] | -| PolyCol8 | [1, -7, -15, -23, -31, -39, -47, -55, -63, -71] | -| PolyCol9 | [1, -8, -17, -26, -35, -44, -53, -62, -71, -80] | +| PolyCol0 | [1, -1, -4, -36, -496, -9040, -203136, -5401984, -165519616, -5734169856] | +| PolyCol1 | [1, 0, -5, -44, -563, -9934, -219485, -5773228, -175499655, -6042972554] | +| PolyCol2 | [1, 1, -4, -52, -656, -11088, -239168, -6204224, -186839296, -6388620544] | +| PolyCol3 | [1, 2, -1, -54, -763, -12592, -263625, -6714334, -199874647, -6778659564] | +| PolyCol4 | [1, 3, 4, -44, -848, -14416, -294464, -7332160, -215091456, -7223236352] | +| PolyCol5 | [1, 4, 11, -16, -851, -16290, -332381, -8093024, -233183431, -7736461246] | +| PolyCol6 | [1, 5, 20, 36, -688, -17584, -375360, -9026368, -255051520, -8338017024] | +| PolyCol7 | [1, 6, 31, 118, -251, -17188, -416153, -10128034, -281643351, -9054046304] | +| PolyCol8 | [1, 7, 44, 236, 592, -13392, -439040, -11312384, -313491712, -9915261184] | +| PolyCol9 | [1, 8, 59, 396, 1997, -3766, -415869, -12339220, -349770631, -10948767282] | diff --git a/data/md/Schroeder.md b/data/md/Schroeder.md index bad7b3b..810d01d 100644 --- a/data/md/Schroeder.md +++ b/data/md/Schroeder.md @@ -41,118 +41,159 @@ | 38 | Schroeder:Std | PolyCol2 | A109980 | 1 2 8 36 172 852 4324 22332 116876 618084 3296308 17702412 95627580 519170004 2830862532 | | 39 | Schroeder:Std | PolyCol3 | missing | 1 3 15 81 453 2583 14907 86733 507561 2982987 17588775 103976073 615916269 3654551007 21714187923 | | 40 | Schroeder:Std | PolyDiag | missing | 1 1 8 81 984 14025 231468 4372417 93470576 2237080977 59360130180 1731243895953 55079997072840 | -| 41 | Schroeder:Rev | Triangle | B106579 | 1 1 0 1 2 0 1 4 6 0 1 6 16 22 0 1 8 30 68 90 0 1 10 48 146 304 394 0 1 12 70 264 714 1412 1806 0 1 | -| 42 | Schroeder:Rev | InvRev | A122542 | 1 0 1 0 -2 1 0 2 -4 1 0 -2 8 -6 1 0 2 -12 18 -8 1 0 -2 16 -38 32 -10 1 0 2 -20 66 -88 50 -12 1 0 -2 | -| 43 | Schroeder:Rev | Acc | A144944 | 1 1 1 1 3 3 1 5 11 11 1 7 23 45 45 1 9 39 107 197 197 1 11 59 205 509 903 903 1 13 83 347 1061 2473 | -| 44 | Schroeder:Rev | AccRev | missing | 1 0 1 0 2 3 0 6 10 11 0 22 38 44 45 0 90 158 188 196 197 0 394 698 844 892 902 903 0 1806 3218 3932 | -| 45 | Schroeder:Rev | AntiDiag | missing | 1 1 1 0 1 2 1 4 0 1 6 6 1 8 16 0 1 10 30 22 1 12 48 68 0 1 14 70 146 90 1 16 96 264 304 0 1 18 126 | -| 46 | Schroeder:Rev | Diffx1 | missing | 1 1 0 1 4 0 1 8 18 0 1 12 48 88 0 1 16 90 272 450 0 1 20 144 584 1520 2364 0 1 24 210 1056 3570 | -| 47 | Schroeder:Rev | RowSum | A001003 | 1 1 3 11 45 197 903 4279 20793 103049 518859 2646723 13648869 71039373 372693519 1968801519 | -| 48 | Schroeder:Rev | EvenSum | A227506 | 1 1 1 7 17 121 353 2591 8257 61921 207905 1582791 5501073 42344121 150827073 1170747519 4247388417 | -| 49 | Schroeder:Rev | OddSum | missing | 0 0 2 4 28 76 550 1688 12536 41128 310954 1063932 8147796 28695252 221866446 798054000 6216189936 | -| 50 | Schroeder:Rev | AltSum | A001003 | 1 1 -1 3 -11 45 -197 903 -4279 20793 -103049 518859 -2646723 13648869 -71039373 372693519 | -| 51 | Schroeder:Rev | DiagSum | A026003 | 1 1 1 3 5 13 25 63 129 321 681 1683 3653 8989 19825 48639 108545 265729 598417 1462563 3317445 | -| 52 | Schroeder:Rev | AccSum | A010683 | 1 2 7 28 121 550 2591 12536 61921 310954 1582791 8147796 42344121 221866446 1170747519 6216189936 | -| 53 | Schroeder:Rev | AccRevSum | missing | 1 1 5 27 149 829 4633 25975 146009 822585 4643517 26259603 148740045 843724149 4792348785 | -| 54 | Schroeder:Rev | RowLcm | missing | 1 1 2 12 528 6120 65577360 2384317320 307331984910720 10705170228466855130640 | -| 55 | Schroeder:Rev | RowGcd | A053230 | 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | -| 56 | Schroeder:Rev | RowMax | A086456 | 1 1 2 6 22 90 394 1806 8558 41586 206098 1037718 5293446 27297738 142078746 745387038 3937603038 | -| 57 | Schroeder:Rev | ColMiddle | missing | 1 1 2 4 16 30 146 264 1408 2490 14002 24396 142000 244790 1459810 2496528 15158272 25763058 | -| 58 | Schroeder:Rev | CentralE | A103885 | 1 2 16 146 1408 14002 142000 1459810 15158272 158611106 1669752016 17664712562 187641279616 | -| 59 | Schroeder:Rev | CentralO | A330801 | 1 4 30 264 2490 24396 244790 2496528 25763058 268243860 2812481870 29653804824 314097641130 | -| 60 | Schroeder:Rev | BinConv | A178792 | 1 1 5 31 209 1471 10625 78079 580865 4361215 32978945 250806271 1916280833 14698053631 113104519169 | -| 61 | Schroeder:Rev | InvBinConv | A255047 | 1 -1 -3 -7 -15 -31 -63 -127 -255 -511 -1023 -2047 -4095 -8191 -16383 -32767 -65535 -131071 -262143 | -| 62 | Schroeder:Rev | TransNat0 | missing | 0 0 2 16 104 632 3730 21696 125216 719536 4124658 23612880 135091176 772684776 4419655266 | -| 63 | Schroeder:Rev | TransNat1 | missing | 1 1 5 27 149 829 4633 25975 146009 822585 4643517 26259603 148740045 843724149 4792348785 | -| 64 | Schroeder:Rev | TransSqrs | missing | 0 0 2 28 268 2180 16230 114408 777560 5149752 33461610 214276260 1356538788 8509510620 52981004622 | -| 65 | Schroeder:Rev | PosHalf | A109980 | 1 2 8 36 172 852 4324 22332 116876 618084 3296308 17702412 95627580 519170004 2830862532 | -| 66 | Schroeder:Rev | NegHalf | missing | 1 -2 0 -4 -12 -52 -228 -1052 -5004 -24388 -121140 -611052 -3121596 -16117428 -83974212 -440941884 | -| 67 | Schroeder:Rev | DiagRow1 | A006318 | 1 2 6 22 90 394 1806 8558 41586 206098 1037718 5293446 27297738 142078746 745387038 3937603038 | -| 68 | Schroeder:Rev | DiagRow2 | B006319 | 1 4 16 68 304 1412 6752 33028 164512 831620 4255728 22004292 114781008 603308292 3192216000 | -| 69 | Schroeder:Rev | DiagRow3 | A006320 | 1 6 30 146 714 3534 17718 89898 461010 2386390 12455118 65478978 346448538 1843520670 9859734630 | -| 70 | Schroeder:Rev | DiagCol1 | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 | -| 71 | Schroeder:Rev | DiagCol2 | A054000 | 0 6 16 30 48 70 96 126 160 198 240 286 336 390 448 510 576 646 720 798 880 966 1056 1150 1248 1350 | -| 72 | Schroeder:Rev | DiagCol3 | missing | 0 22 68 146 264 430 652 938 1296 1734 2260 2882 3608 4446 5404 6490 7712 9078 10596 12274 14120 | -| 73 | Schroeder:Rev | Poly | missing | 1 1 1 1 1 1 1 3 1 1 1 11 5 1 1 1 45 33 7 1 1 1 197 253 67 9 1 1 1 903 2121 757 113 11 1 1 1 4279 | -| 74 | Schroeder:Rev | PolyRow2 | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | -| 75 | Schroeder:Rev | PolyRow3 | A080859 | 1 11 33 67 113 171 241 323 417 523 641 771 913 1067 1233 1411 1601 1803 2017 2243 2481 2731 2993 | -| 76 | Schroeder:Rev | PolyCol2 | A330802 | 1 1 5 33 253 2121 18853 174609 1667021 16290969 162171445 1638732129 16765758429 173325794409 | -| 77 | Schroeder:Rev | PolyCol3 | missing | 1 1 7 67 757 9421 124771 1725319 24623881 360020857 5364898687 81184517899 1244208082045 | -| 78 | Schroeder:Rev | PolyDiag | missing | 1 1 5 67 1689 65541 3491053 238013959 19839218801 1957984585993 223488773954181 28979637885896523 | -| 79 | Schroeder:Inv | Triangle | A122542 | 1 0 1 0 -2 1 0 2 -4 1 0 -2 8 -6 1 0 2 -12 18 -8 1 0 -2 16 -38 32 -10 1 0 2 -20 66 -88 50 -12 1 0 -2 | -| 80 | Schroeder:Inv | Rev | A266213 | 1 1 0 1 -2 0 1 -4 2 0 1 -6 8 -2 0 1 -8 18 -12 2 0 1 -10 32 -38 16 -2 0 1 -12 50 -88 66 -20 2 0 1 | -| 81 | Schroeder:Inv | RevInv | B106579 | 1 1 0 1 2 0 1 4 6 0 1 6 16 22 0 1 8 30 68 90 0 1 10 48 146 304 394 0 1 12 70 264 714 1412 1806 0 1 | -| 82 | Schroeder:Inv | Acc | missing | 1 0 1 0 -2 -1 0 2 -2 -1 0 -2 6 0 1 0 2 -10 8 0 1 0 -2 14 -24 8 -2 -1 0 2 -18 48 -40 10 -2 -1 0 -2 | -| 83 | Schroeder:Inv | AccRev | missing | 1 1 1 1 -1 -1 1 -3 -1 -1 1 -5 3 1 1 1 -7 11 -1 1 1 1 -9 23 -15 1 -1 -1 1 -11 39 -49 17 -3 -1 -1 1 | -| 84 | Schroeder:Inv | AntiDiag | missing | 1 0 0 1 0 -2 0 2 1 0 -2 -4 0 2 8 1 0 -2 -12 -6 0 2 16 18 1 0 -2 -20 -38 -8 0 2 24 66 32 1 0 -2 -28 | -| 85 | Schroeder:Inv | Diffx1 | missing | 1 0 2 0 -4 3 0 4 -12 4 0 -4 24 -24 5 0 4 -36 72 -40 6 0 -4 48 -152 160 -60 7 0 4 -60 264 -440 300 | -| 86 | Schroeder:Inv | EvenSum | B111587 | 1 0 1 -4 9 -20 49 -120 289 -696 1681 -4060 9801 -23660 57121 -137904 332929 -803760 1940449 | -| 87 | Schroeder:Inv | OddSum | missing | 0 1 -2 3 -8 21 -50 119 -288 697 -1682 4059 -9800 23661 -57122 137903 -332928 803761 -1940450 | -| 88 | Schroeder:Inv | AltSum | A001333 | 1 -1 3 -7 17 -41 99 -239 577 -1393 3363 -8119 19601 -47321 114243 -275807 665857 -1607521 3880899 | -| 89 | Schroeder:Inv | DiagSum | B078042 | 1 0 1 -2 3 -6 11 -20 37 -68 125 -230 423 -778 1431 -2632 4841 -8904 16377 -30122 55403 -101902 | -| 90 | Schroeder:Inv | AccSum | B093178 | 1 1 -3 -1 5 1 -7 -1 9 1 -11 -1 13 1 -15 -1 17 1 -19 -1 21 1 -23 -1 25 1 -27 -1 29 1 -31 -1 | -| 91 | Schroeder:Inv | AccRevSum | B009531 | 1 2 -1 -4 1 6 -1 -8 1 10 -1 -12 1 14 -1 -16 1 18 -1 -20 1 22 -1 -24 1 26 -1 -28 1 30 -1 -32 | -| 92 | Schroeder:Inv | RowLcm | missing | 1 1 2 4 24 72 3040 6600 342720 12877200 281457792 45725102640 56738793619200 1803731322088080 | -| 93 | Schroeder:Inv | RowGcd | A053230 | 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | -| 94 | Schroeder:Inv | RowMax | A110110 | 1 1 2 4 8 18 38 88 192 450 1002 2364 5336 12642 28814 68464 157184 374274 864146 2060980 4780008 | -| 95 | Schroeder:Inv | ColMiddle | missing | 1 0 -2 2 8 -12 -38 66 192 -360 -1002 1970 5336 -10836 -28814 59906 157184 -332688 -864146 1854882 | -| 96 | Schroeder:Inv | CentralE | A123164 | 1 -2 8 -38 192 -1002 5336 -28814 157184 -864146 4780008 -26572086 148321344 -830764794 4666890936 | -| 97 | Schroeder:Inv | CentralO | missing | 0 2 -12 66 -360 1970 -10836 59906 -332688 1854882 -10377180 58227906 -327572856 1847023698 | -| 98 | Schroeder:Inv | BinConv | missing | 1 1 -3 -5 17 31 -111 -209 769 1471 -5503 -10625 40193 78079 -297727 -580865 2228225 4361215 | -| 99 | Schroeder:Inv | InvBinConv | A240688 | 1 1 5 19 81 351 1553 6959 31489 143551 658305 3033471 14034177 65147135 303285505 1415422719 | -| 100 | Schroeder:Inv | TransNat0 | A167465 | 0 1 0 -3 0 5 0 -7 0 9 0 -11 0 13 0 -15 0 17 0 -19 0 21 0 -23 0 25 0 -27 0 29 0 -31 | -| 101 | Schroeder:Inv | TransNat1 | B009531 | 1 2 -1 -4 1 6 -1 -8 1 10 -1 -12 1 14 -1 -16 1 18 -1 -20 1 22 -1 -24 1 26 -1 -28 1 30 -1 -32 | -| 102 | Schroeder:Inv | TransSqrs | A000982 | 0 1 2 -5 -8 13 18 -25 -32 41 50 -61 -72 85 98 -113 -128 145 162 -181 -200 221 242 -265 -288 313 338 | -| 103 | Schroeder:Inv | PosHalf | A169998 | 1 1 -3 1 5 -7 -3 17 -11 -23 45 1 -91 89 93 -271 85 457 -627 -287 1541 -967 -2115 4049 181 -8279 | -| 104 | Schroeder:Inv | NegHalf | A007483 | 1 1 5 17 61 217 773 2753 9805 34921 124373 442961 1577629 5618809 20011685 71272673 253841389 | -| 105 | Schroeder:Inv | DiagRow1 | A005843 | 0 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 | -| 106 | Schroeder:Inv | DiagRow2 | A001105 | 0 2 8 18 32 50 72 98 128 162 200 242 288 338 392 450 512 578 648 722 800 882 968 1058 1152 1250 | -| 107 | Schroeder:Inv | DiagRow3 | A035597 | 0 -2 -12 -38 -88 -170 -292 -462 -688 -978 -1340 -1782 -2312 -2938 -3668 -4510 -5472 -6562 -7788 | -| 108 | Schroeder:Inv | DiagCol1 | A036452 | 1 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 | -| 109 | Schroeder:Inv | DiagCol2 | A008574 | 1 -4 8 -12 16 -20 24 -28 32 -36 40 -44 48 -52 56 -60 64 -68 72 -76 80 -84 88 -92 96 -100 104 -108 | -| 110 | Schroeder:Inv | DiagCol3 | A005899 | 1 -6 18 -38 66 -102 146 -198 258 -326 402 -486 578 -678 786 -902 1026 -1158 1298 -1446 1602 -1766 | -| 111 | Schroeder:Inv | Poly | missing | 1 0 1 0 1 1 0 -1 2 1 0 -1 0 3 1 0 1 -4 3 4 1 0 1 -4 -3 8 5 1 0 -1 4 -15 8 15 6 1 0 -1 12 -21 -8 35 | -| 112 | Schroeder:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 113 | Schroeder:Inv | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | -| 114 | Schroeder:Inv | PolyRow3 | missing | 0 -1 -4 -3 8 35 84 161 272 423 620 869 1176 1547 1988 2505 3104 3791 4572 5453 6440 7539 8756 10097 | -| 115 | Schroeder:Inv | PolyCol2 | A078050 | 1 2 0 -4 -4 4 12 4 -20 -28 12 68 44 -92 -180 4 364 356 -372 -1084 -340 1828 2508 -1148 -6164 -3868 | -| 116 | Schroeder:Inv | PolyCol3 | missing | 1 3 3 -3 -15 -21 3 69 129 51 -285 -723 -591 987 3747 4533 -2175 -17949 -29373 -4899 78321 171339 | -| 117 | Schroeder:Inv | PolyDiag | missing | 1 1 0 -3 -8 85 2724 62489 1456624 36537417 997685180 29653122389 955955086824 33278514154717 | -| 118 | Schroeder:Inv:Rev | Triangle | A266213 | 1 1 0 1 -2 0 1 -4 2 0 1 -6 8 -2 0 1 -8 18 -12 2 0 1 -10 32 -38 16 -2 0 1 -12 50 -88 66 -20 2 0 1 | -| 119 | Schroeder:Inv:Rev | Rev | A122542 | 1 0 1 0 -2 1 0 2 -4 1 0 -2 8 -6 1 0 2 -12 18 -8 1 0 -2 16 -38 32 -10 1 0 2 -20 66 -88 50 -12 1 0 -2 | -| 120 | Schroeder:Inv:Rev | InvRev | A122538 | 1 0 1 0 2 1 0 6 4 1 0 22 16 6 1 0 90 68 30 8 1 0 394 304 146 48 10 1 0 1806 1412 714 264 70 12 1 0 | -| 121 | Schroeder:Inv:Rev | Acc | missing | 1 1 1 1 -1 -1 1 -3 -1 -1 1 -5 3 1 1 1 -7 11 -1 1 1 1 -9 23 -15 1 -1 -1 1 -11 39 -49 17 -3 -1 -1 1 | -| 122 | Schroeder:Inv:Rev | AccRev | missing | 1 0 1 0 -2 -1 0 2 -2 -1 0 -2 6 0 1 0 2 -10 8 0 1 0 -2 14 -24 8 -2 -1 0 2 -18 48 -40 10 -2 -1 0 -2 | -| 123 | Schroeder:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -2 1 -4 0 1 -6 2 1 -8 8 0 1 -10 18 -2 1 -12 32 -12 0 1 -14 50 -38 2 1 -16 72 -88 16 0 1 | -| 124 | Schroeder:Inv:Rev | Diffx1 | missing | 1 1 0 1 -4 0 1 -8 6 0 1 -12 24 -8 0 1 -16 54 -48 10 0 1 -20 96 -152 80 -12 0 1 -24 150 -352 330 | -| 125 | Schroeder:Inv:Rev | EvenSum | missing | 1 1 1 3 9 21 49 119 289 697 1681 4059 9801 23661 57121 137903 332929 803761 1940449 4684659 | -| 126 | Schroeder:Inv:Rev | OddSum | missing | 0 0 -2 -4 -8 -20 -50 -120 -288 -696 -1682 -4060 -9800 -23660 -57122 -137904 -332928 -803760 | -| 127 | Schroeder:Inv:Rev | AltSum | A001333 | 1 1 3 7 17 41 99 239 577 1393 3363 8119 19601 47321 114243 275807 665857 1607521 3880899 9369319 | -| 128 | Schroeder:Inv:Rev | DiagSum | A180735 | 1 1 1 -1 -3 -3 1 7 9 1 -15 -25 -11 29 65 47 -47 -159 -159 47 365 477 65 -777 -1319 -607 1489 3415 | -| 129 | Schroeder:Inv:Rev | AccSum | B009531 | 1 2 -1 -4 1 6 -1 -8 1 10 -1 -12 1 14 -1 -16 1 18 -1 -20 1 22 -1 -24 1 26 -1 -28 1 30 -1 -32 | -| 130 | Schroeder:Inv:Rev | AccRevSum | B093178 | 1 1 -3 -1 5 1 -7 -1 9 1 -11 -1 13 1 -15 -1 17 1 -19 -1 21 1 -23 -1 25 1 -27 -1 29 1 -31 -1 | -| 131 | Schroeder:Inv:Rev | RowLcm | missing | 1 1 2 4 24 72 3040 6600 342720 12877200 281457792 45725102640 56738793619200 1803731322088080 | -| 132 | Schroeder:Inv:Rev | RowGcd | A053230 | 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | -| 133 | Schroeder:Inv:Rev | RowMax | A110110 | 1 1 2 4 8 18 38 88 192 450 1002 2364 5336 12642 28814 68464 157184 374274 864146 2060980 4780008 | -| 134 | Schroeder:Inv:Rev | ColMiddle | A110110 | 1 1 -2 -4 8 18 -38 -88 192 450 -1002 -2364 5336 12642 -28814 -68464 157184 374274 -864146 -2060980 | -| 135 | Schroeder:Inv:Rev | CentralE | A123164 | 1 -2 8 -38 192 -1002 5336 -28814 157184 -864146 4780008 -26572086 148321344 -830764794 4666890936 | -| 136 | Schroeder:Inv:Rev | CentralO | B050146 | 1 -4 18 -88 450 -2364 12642 -68464 374274 -2060980 11414898 -63521352 354870594 -1989102444 | -| 137 | Schroeder:Inv:Rev | BinConv | missing | 1 1 -3 -5 17 31 -111 -209 769 1471 -5503 -10625 40193 78079 -297727 -580865 2228225 4361215 | -| 138 | Schroeder:Inv:Rev | InvBinConv | A240688 | 1 -1 5 -19 81 -351 1553 -6959 31489 -143551 658305 -3033471 14034177 -65147135 303285505 | -| 139 | Schroeder:Inv:Rev | TransNat0 | A237420 | 0 0 -2 0 4 0 -6 0 8 0 -10 0 12 0 -14 0 16 0 -18 0 20 0 -22 0 24 0 -26 0 28 0 -30 0 | -| 140 | Schroeder:Inv:Rev | TransNat1 | B093178 | 1 1 -3 -1 5 1 -7 -1 9 1 -11 -1 13 1 -15 -1 17 1 -19 -1 21 1 -23 -1 25 1 -27 -1 29 1 -31 -1 | -| 141 | Schroeder:Inv:Rev | TransSqrs | A007590 | 0 0 -2 4 8 -12 -18 24 32 -40 -50 60 72 -84 -98 112 128 -144 -162 180 200 -220 -242 264 288 -312 | -| 142 | Schroeder:Inv:Rev | PosHalf | A078050 | 1 2 0 -4 -4 4 12 4 -20 -28 12 68 44 -92 -180 4 364 356 -372 -1084 -340 1828 2508 -1148 -6164 -3868 | -| 143 | Schroeder:Inv:Rev | NegHalf | A104934 | 1 -2 8 -28 100 -356 1268 -4516 16084 -57284 204020 -726628 2587924 -9217028 32826932 -116914852 | -| 144 | Schroeder:Inv:Rev | DiagRow1 | A036452 | 1 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 | -| 145 | Schroeder:Inv:Rev | DiagRow2 | A008574 | 1 -4 8 -12 16 -20 24 -28 32 -36 40 -44 48 -52 56 -60 64 -68 72 -76 80 -84 88 -92 96 -100 104 -108 | -| 146 | Schroeder:Inv:Rev | DiagRow3 | A005899 | 1 -6 18 -38 66 -102 146 -198 258 -326 402 -486 578 -678 786 -902 1026 -1158 1298 -1446 1602 -1766 | -| 147 | Schroeder:Inv:Rev | DiagCol1 | A005843 | 0 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 | -| 148 | Schroeder:Inv:Rev | DiagCol2 | A001105 | 0 2 8 18 32 50 72 98 128 162 200 242 288 338 392 450 512 578 648 722 800 882 968 1058 1152 1250 | -| 149 | Schroeder:Inv:Rev | DiagCol3 | A035597 | 0 -2 -12 -38 -88 -170 -292 -462 -688 -978 -1340 -1782 -2312 -2938 -3668 -4510 -5472 -6562 -7788 | -| 150 | Schroeder:Inv:Rev | Poly | A065372 | 1 1 1 1 1 1 1 -1 1 1 1 -1 -3 1 1 1 1 1 -5 1 1 1 1 5 7 -7 1 1 1 -1 -7 1 17 -9 1 1 1 -1 -3 -23 -23 31 | -| 151 | Schroeder:Inv:Rev | PolyRow2 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | -| 152 | Schroeder:Inv:Rev | PolyRow3 | A056220 | 1 -1 1 7 17 31 49 71 97 127 161 199 241 287 337 391 449 511 577 647 721 799 881 967 1057 1151 1249 | -| 153 | Schroeder:Inv:Rev | PolyCol2 | A169998 | 1 1 -3 1 5 -7 -3 17 -11 -23 45 1 -91 89 93 -271 85 457 -627 -287 1541 -967 -2115 4049 181 -8279 | -| 154 | Schroeder:Inv:Rev | PolyCol3 | B087455 | 1 1 -5 7 1 -23 43 -17 -95 241 -197 -329 1249 -1511 -725 5983 -9791 1633 26107 -57113 35905 99529 | -| 155 | Schroeder:Inv:Rev | PolyDiag | missing | 1 1 -3 7 -23 161 -1931 29807 -541295 11250433 -263529379 6874282999 -197722407431 6218421457249 | \ No newline at end of file +| 41 | Schroeder:Alt | Triangle | A122538 | 1 0 -1 0 -2 1 0 -6 4 -1 0 -22 16 -6 1 0 -90 68 -30 8 -1 0 -394 304 -146 48 -10 1 0 -1806 1412 -714 | +| 42 | Schroeder:Alt | Rev | B106579 | 1 -1 0 1 -2 0 -1 4 -6 0 1 -6 16 -22 0 -1 8 -30 68 -90 0 1 -10 48 -146 304 -394 0 -1 12 -70 264 -714 | +| 43 | Schroeder:Alt | Inv | missing | 1 0 1 0 2 1 0 -2 -4 1 0 -22 -40 6 1 0 70 132 -18 -8 1 0 1250 2352 -322 -128 10 1 0 -6738 -12692 | +| 44 | Schroeder:Alt | RevInv | missing | 1 1 0 1 2 0 1 -4 -2 0 1 6 -40 -22 0 1 -8 -18 132 70 0 1 10 -128 -322 2352 1250 0 1 -12 -50 712 1734 | +| 45 | Schroeder:Alt | Acc | missing | 1 0 -1 0 -2 -1 0 -6 -2 -3 0 -22 -6 -12 -11 0 -90 -22 -52 -44 -45 0 -394 -90 -236 -188 -198 -197 0 | +| 46 | Schroeder:Alt | AccRev | missing | 1 -1 -1 1 -1 -1 -1 3 -3 -3 1 -5 11 -11 -11 -1 7 -23 45 -45 -45 1 -9 39 -107 197 -197 -197 -1 11 -59 | +| 47 | Schroeder:Alt | AntiDiag | missing | 1 0 0 -1 0 -2 0 -6 1 0 -22 4 0 -90 16 -1 0 -394 68 -6 0 -1806 304 -30 1 0 -8558 1412 -146 8 0 | +| 48 | Schroeder:Alt | Diffx1 | missing | 1 0 -2 0 -4 3 0 -12 12 -4 0 -44 48 -24 5 0 -180 204 -120 40 -6 0 -788 912 -584 240 -60 7 0 -3612 | +| 49 | Schroeder:Alt | RowSum | A001003 | 1 -1 -1 -3 -11 -45 -197 -903 -4279 -20793 -103049 -518859 -2646723 -13648869 -71039373 -372693519 | +| 50 | Schroeder:Alt | EvenSum | B239204 | 1 0 1 4 17 76 353 1688 8257 41128 207905 1063932 5501073 28695252 150827073 798054000 4247388417 | +| 51 | Schroeder:Alt | OddSum | A010683 | 0 -1 -2 -7 -28 -121 -550 -2591 -12536 -61921 -310954 -1582791 -8147796 -42344121 -221866446 | +| 52 | Schroeder:Alt | AltSum | A001003 | 1 1 3 11 45 197 903 4279 20793 103049 518859 2646723 13648869 71039373 372693519 1968801519 | +| 53 | Schroeder:Alt | DiagSum | missing | 1 0 -1 -2 -5 -18 -75 -332 -1531 -7284 -35501 -176350 -889585 -4544710 -23466263 -122267608 | +| 54 | Schroeder:Alt | AccSum | missing | 1 -1 -3 -11 -51 -253 -1303 -6871 -36823 -199673 -1092411 -6018403 -33343467 -185583093 -1036895343 | +| 55 | Schroeder:Alt | AccRevSum | missing | 1 -2 -1 -4 -15 -62 -273 -1256 -5967 -29050 -144177 -726764 -3710655 -19149942 -99734625 -523520592 | +| 56 | Schroeder:Alt | RowLcm | missing | 1 1 2 12 528 6120 65577360 2384317320 307331984910720 10705170228466855130640 | +| 57 | Schroeder:Alt | RowGcd | A053230 | 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | +| 58 | Schroeder:Alt | RowMax | A086456 | 1 1 2 6 22 90 394 1806 8558 41586 206098 1037718 5293446 27297738 142078746 745387038 3937603038 | +| 59 | Schroeder:Alt | ColMiddle | missing | 1 0 -2 -6 16 68 -146 -714 1408 7432 -14002 -77550 142000 812940 -1459810 -8561938 15158272 90560528 | +| 60 | Schroeder:Alt | CentralE | A103885 | 1 -2 16 -146 1408 -14002 142000 -1459810 15158272 -158611106 1669752016 -17664712562 187641279616 | +| 61 | Schroeder:Alt | CentralO | missing | 0 -6 68 -714 7432 -77550 812940 -8561938 90560528 -961474518 10241444820 -109402827226 | +| 62 | Schroeder:Alt | BinConv | A255047 | 1 -1 -3 -7 -15 -31 -63 -127 -255 -511 -1023 -2047 -4095 -8191 -16383 -32767 -65535 -131071 -262143 | +| 63 | Schroeder:Alt | InvBinConv | A178792 | 1 -1 5 -31 209 -1471 10625 -78079 580865 -4361215 32978945 -250806271 1916280833 -14698053631 | +| 64 | Schroeder:Alt | TransNat0 | B239204 | 0 -1 0 -1 -4 -17 -76 -353 -1688 -8257 -41128 -207905 -1063932 -5501073 -28695252 -150827073 | +| 65 | Schroeder:Alt | TransNat1 | missing | 1 -2 -1 -4 -15 -62 -273 -1256 -5967 -29050 -144177 -726764 -3710655 -19149942 -99734625 -523520592 | +| 66 | Schroeder:Alt | TransSqrs | missing | 0 -1 2 1 4 15 62 273 1256 5967 29050 144177 726764 3710655 19149942 99734625 523520592 2766855519 | +| 67 | Schroeder:Alt | PosHalf | A330803 | 1 -1 -3 -17 -123 -1001 -8739 -79969 -756939 -7349657 -72798003 -732681489 -7471545435 -77031538377 | +| 68 | Schroeder:Alt | NegHalf | A330802 | 1 -1 5 -33 253 -2121 18853 -174609 1667021 -16290969 162171445 -1638732129 16765758429 | +| 69 | Schroeder:Alt | DiagRow1 | A005843 | 0 -2 4 -6 8 -10 12 -14 16 -18 20 -22 24 -26 28 -30 32 -34 36 -38 40 -42 44 -46 48 -50 52 -54 56 -58 | +| 70 | Schroeder:Alt | DiagRow2 | A054000 | 0 -6 16 -30 48 -70 96 -126 160 -198 240 -286 336 -390 448 -510 576 -646 720 -798 880 -966 1056 | +| 71 | Schroeder:Alt | DiagRow3 | missing | 0 -22 68 -146 264 -430 652 -938 1296 -1734 2260 -2882 3608 -4446 5404 -6490 7712 -9078 10596 -12274 | +| 72 | Schroeder:Alt | DiagCol1 | A006318 | -1 -2 -6 -22 -90 -394 -1806 -8558 -41586 -206098 -1037718 -5293446 -27297738 -142078746 -745387038 | +| 73 | Schroeder:Alt | DiagCol2 | B006319 | 1 4 16 68 304 1412 6752 33028 164512 831620 4255728 22004292 114781008 603308292 3192216000 | +| 74 | Schroeder:Alt | DiagCol3 | A006320 | -1 -6 -30 -146 -714 -3534 -17718 -89898 -461010 -2386390 -12455118 -65478978 -346448538 -1843520670 | +| 75 | Schroeder:Alt | Poly | missing | 1 0 1 0 -1 1 0 -1 -2 1 0 -3 0 -3 1 0 -11 -4 3 -4 1 0 -45 -12 -9 8 -5 1 0 -197 -52 -3 -24 15 -6 1 0 | +| 76 | Schroeder:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 77 | Schroeder:Alt | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 78 | Schroeder:Alt | PolyRow3 | missing | 0 -3 -4 -9 -24 -55 -108 -189 -304 -459 -660 -913 -1224 -1599 -2044 -2565 -3168 -3859 -4644 -5529 | +| 79 | Schroeder:Alt | PolyCol2 | missing | 1 -2 0 -4 -12 -52 -228 -1052 -5004 -24388 -121140 -611052 -3121596 -16117428 -83974212 -440941884 | +| 80 | Schroeder:Alt | PolyCol3 | missing | 1 -3 3 -9 -3 -63 -201 -1053 -4839 -23931 -118677 -600273 -3069675 -15868791 -82755873 -434906469 | +| 81 | Schroeder:Alt | PolyDiag | missing | 1 -1 0 -9 40 -625 8148 -142737 2814096 -63713601 1615812220 -45439774809 1402642106424 | +| 82 | Schroeder:Rev | Triangle | B106579 | 1 1 0 1 2 0 1 4 6 0 1 6 16 22 0 1 8 30 68 90 0 1 10 48 146 304 394 0 1 12 70 264 714 1412 1806 0 1 | +| 83 | Schroeder:Rev | InvRev | A122542 | 1 0 1 0 -2 1 0 2 -4 1 0 -2 8 -6 1 0 2 -12 18 -8 1 0 -2 16 -38 32 -10 1 0 2 -20 66 -88 50 -12 1 0 -2 | +| 84 | Schroeder:Rev | Acc | A144944 | 1 1 1 1 3 3 1 5 11 11 1 7 23 45 45 1 9 39 107 197 197 1 11 59 205 509 903 903 1 13 83 347 1061 2473 | +| 85 | Schroeder:Rev | AccRev | missing | 1 0 1 0 2 3 0 6 10 11 0 22 38 44 45 0 90 158 188 196 197 0 394 698 844 892 902 903 0 1806 3218 3932 | +| 86 | Schroeder:Rev | AntiDiag | missing | 1 1 1 0 1 2 1 4 0 1 6 6 1 8 16 0 1 10 30 22 1 12 48 68 0 1 14 70 146 90 1 16 96 264 304 0 1 18 126 | +| 87 | Schroeder:Rev | Diffx1 | missing | 1 1 0 1 4 0 1 8 18 0 1 12 48 88 0 1 16 90 272 450 0 1 20 144 584 1520 2364 0 1 24 210 1056 3570 | +| 88 | Schroeder:Rev | RowSum | A001003 | 1 1 3 11 45 197 903 4279 20793 103049 518859 2646723 13648869 71039373 372693519 1968801519 | +| 89 | Schroeder:Rev | EvenSum | A227506 | 1 1 1 7 17 121 353 2591 8257 61921 207905 1582791 5501073 42344121 150827073 1170747519 4247388417 | +| 90 | Schroeder:Rev | OddSum | missing | 0 0 2 4 28 76 550 1688 12536 41128 310954 1063932 8147796 28695252 221866446 798054000 6216189936 | +| 91 | Schroeder:Rev | AltSum | A001003 | 1 1 -1 3 -11 45 -197 903 -4279 20793 -103049 518859 -2646723 13648869 -71039373 372693519 | +| 92 | Schroeder:Rev | DiagSum | A026003 | 1 1 1 3 5 13 25 63 129 321 681 1683 3653 8989 19825 48639 108545 265729 598417 1462563 3317445 | +| 93 | Schroeder:Rev | AccSum | A010683 | 1 2 7 28 121 550 2591 12536 61921 310954 1582791 8147796 42344121 221866446 1170747519 6216189936 | +| 94 | Schroeder:Rev | AccRevSum | missing | 1 1 5 27 149 829 4633 25975 146009 822585 4643517 26259603 148740045 843724149 4792348785 | +| 95 | Schroeder:Rev | RowLcm | missing | 1 1 2 12 528 6120 65577360 2384317320 307331984910720 10705170228466855130640 | +| 96 | Schroeder:Rev | RowGcd | A053230 | 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | +| 97 | Schroeder:Rev | RowMax | A086456 | 1 1 2 6 22 90 394 1806 8558 41586 206098 1037718 5293446 27297738 142078746 745387038 3937603038 | +| 98 | Schroeder:Rev | ColMiddle | missing | 1 1 2 4 16 30 146 264 1408 2490 14002 24396 142000 244790 1459810 2496528 15158272 25763058 | +| 99 | Schroeder:Rev | CentralE | A103885 | 1 2 16 146 1408 14002 142000 1459810 15158272 158611106 1669752016 17664712562 187641279616 | +| 100 | Schroeder:Rev | CentralO | A330801 | 1 4 30 264 2490 24396 244790 2496528 25763058 268243860 2812481870 29653804824 314097641130 | +| 101 | Schroeder:Rev | BinConv | A178792 | 1 1 5 31 209 1471 10625 78079 580865 4361215 32978945 250806271 1916280833 14698053631 113104519169 | +| 102 | Schroeder:Rev | InvBinConv | A255047 | 1 -1 -3 -7 -15 -31 -63 -127 -255 -511 -1023 -2047 -4095 -8191 -16383 -32767 -65535 -131071 -262143 | +| 103 | Schroeder:Rev | TransNat0 | missing | 0 0 2 16 104 632 3730 21696 125216 719536 4124658 23612880 135091176 772684776 4419655266 | +| 104 | Schroeder:Rev | TransNat1 | missing | 1 1 5 27 149 829 4633 25975 146009 822585 4643517 26259603 148740045 843724149 4792348785 | +| 105 | Schroeder:Rev | TransSqrs | missing | 0 0 2 28 268 2180 16230 114408 777560 5149752 33461610 214276260 1356538788 8509510620 52981004622 | +| 106 | Schroeder:Rev | PosHalf | A109980 | 1 2 8 36 172 852 4324 22332 116876 618084 3296308 17702412 95627580 519170004 2830862532 | +| 107 | Schroeder:Rev | NegHalf | missing | 1 -2 0 -4 -12 -52 -228 -1052 -5004 -24388 -121140 -611052 -3121596 -16117428 -83974212 -440941884 | +| 108 | Schroeder:Rev | DiagRow1 | A006318 | 1 2 6 22 90 394 1806 8558 41586 206098 1037718 5293446 27297738 142078746 745387038 3937603038 | +| 109 | Schroeder:Rev | DiagRow2 | B006319 | 1 4 16 68 304 1412 6752 33028 164512 831620 4255728 22004292 114781008 603308292 3192216000 | +| 110 | Schroeder:Rev | DiagRow3 | A006320 | 1 6 30 146 714 3534 17718 89898 461010 2386390 12455118 65478978 346448538 1843520670 9859734630 | +| 111 | Schroeder:Rev | DiagCol1 | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 | +| 112 | Schroeder:Rev | DiagCol2 | A054000 | 0 6 16 30 48 70 96 126 160 198 240 286 336 390 448 510 576 646 720 798 880 966 1056 1150 1248 1350 | +| 113 | Schroeder:Rev | DiagCol3 | missing | 0 22 68 146 264 430 652 938 1296 1734 2260 2882 3608 4446 5404 6490 7712 9078 10596 12274 14120 | +| 114 | Schroeder:Rev | Poly | missing | 1 1 1 1 1 1 1 3 1 1 1 11 5 1 1 1 45 33 7 1 1 1 197 253 67 9 1 1 1 903 2121 757 113 11 1 1 1 4279 | +| 115 | Schroeder:Rev | PolyRow2 | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | +| 116 | Schroeder:Rev | PolyRow3 | A080859 | 1 11 33 67 113 171 241 323 417 523 641 771 913 1067 1233 1411 1601 1803 2017 2243 2481 2731 2993 | +| 117 | Schroeder:Rev | PolyCol2 | A330802 | 1 1 5 33 253 2121 18853 174609 1667021 16290969 162171445 1638732129 16765758429 173325794409 | +| 118 | Schroeder:Rev | PolyCol3 | missing | 1 1 7 67 757 9421 124771 1725319 24623881 360020857 5364898687 81184517899 1244208082045 | +| 119 | Schroeder:Rev | PolyDiag | missing | 1 1 5 67 1689 65541 3491053 238013959 19839218801 1957984585993 223488773954181 28979637885896523 | +| 120 | Schroeder:Inv | Triangle | A122542 | 1 0 1 0 -2 1 0 2 -4 1 0 -2 8 -6 1 0 2 -12 18 -8 1 0 -2 16 -38 32 -10 1 0 2 -20 66 -88 50 -12 1 0 -2 | +| 121 | Schroeder:Inv | Rev | A266213 | 1 1 0 1 -2 0 1 -4 2 0 1 -6 8 -2 0 1 -8 18 -12 2 0 1 -10 32 -38 16 -2 0 1 -12 50 -88 66 -20 2 0 1 | +| 122 | Schroeder:Inv | RevInv | B106579 | 1 1 0 1 2 0 1 4 6 0 1 6 16 22 0 1 8 30 68 90 0 1 10 48 146 304 394 0 1 12 70 264 714 1412 1806 0 1 | +| 123 | Schroeder:Inv | Acc | missing | 1 0 1 0 -2 -1 0 2 -2 -1 0 -2 6 0 1 0 2 -10 8 0 1 0 -2 14 -24 8 -2 -1 0 2 -18 48 -40 10 -2 -1 0 -2 | +| 124 | Schroeder:Inv | AccRev | missing | 1 1 1 1 -1 -1 1 -3 -1 -1 1 -5 3 1 1 1 -7 11 -1 1 1 1 -9 23 -15 1 -1 -1 1 -11 39 -49 17 -3 -1 -1 1 | +| 125 | Schroeder:Inv | AntiDiag | missing | 1 0 0 1 0 -2 0 2 1 0 -2 -4 0 2 8 1 0 -2 -12 -6 0 2 16 18 1 0 -2 -20 -38 -8 0 2 24 66 32 1 0 -2 -28 | +| 126 | Schroeder:Inv | Diffx1 | missing | 1 0 2 0 -4 3 0 4 -12 4 0 -4 24 -24 5 0 4 -36 72 -40 6 0 -4 48 -152 160 -60 7 0 4 -60 264 -440 300 | +| 127 | Schroeder:Inv | EvenSum | B111587 | 1 0 1 -4 9 -20 49 -120 289 -696 1681 -4060 9801 -23660 57121 -137904 332929 -803760 1940449 | +| 128 | Schroeder:Inv | OddSum | missing | 0 1 -2 3 -8 21 -50 119 -288 697 -1682 4059 -9800 23661 -57122 137903 -332928 803761 -1940450 | +| 129 | Schroeder:Inv | AltSum | A001333 | 1 -1 3 -7 17 -41 99 -239 577 -1393 3363 -8119 19601 -47321 114243 -275807 665857 -1607521 3880899 | +| 130 | Schroeder:Inv | DiagSum | B078042 | 1 0 1 -2 3 -6 11 -20 37 -68 125 -230 423 -778 1431 -2632 4841 -8904 16377 -30122 55403 -101902 | +| 131 | Schroeder:Inv | AccSum | B093178 | 1 1 -3 -1 5 1 -7 -1 9 1 -11 -1 13 1 -15 -1 17 1 -19 -1 21 1 -23 -1 25 1 -27 -1 29 1 -31 -1 | +| 132 | Schroeder:Inv | AccRevSum | B009531 | 1 2 -1 -4 1 6 -1 -8 1 10 -1 -12 1 14 -1 -16 1 18 -1 -20 1 22 -1 -24 1 26 -1 -28 1 30 -1 -32 | +| 133 | Schroeder:Inv | RowLcm | missing | 1 1 2 4 24 72 3040 6600 342720 12877200 281457792 45725102640 56738793619200 1803731322088080 | +| 134 | Schroeder:Inv | RowGcd | A053230 | 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | +| 135 | Schroeder:Inv | RowMax | A110110 | 1 1 2 4 8 18 38 88 192 450 1002 2364 5336 12642 28814 68464 157184 374274 864146 2060980 4780008 | +| 136 | Schroeder:Inv | ColMiddle | missing | 1 0 -2 2 8 -12 -38 66 192 -360 -1002 1970 5336 -10836 -28814 59906 157184 -332688 -864146 1854882 | +| 137 | Schroeder:Inv | CentralE | A123164 | 1 -2 8 -38 192 -1002 5336 -28814 157184 -864146 4780008 -26572086 148321344 -830764794 4666890936 | +| 138 | Schroeder:Inv | CentralO | missing | 0 2 -12 66 -360 1970 -10836 59906 -332688 1854882 -10377180 58227906 -327572856 1847023698 | +| 139 | Schroeder:Inv | BinConv | missing | 1 1 -3 -5 17 31 -111 -209 769 1471 -5503 -10625 40193 78079 -297727 -580865 2228225 4361215 | +| 140 | Schroeder:Inv | InvBinConv | A240688 | 1 1 5 19 81 351 1553 6959 31489 143551 658305 3033471 14034177 65147135 303285505 1415422719 | +| 141 | Schroeder:Inv | TransNat0 | A167465 | 0 1 0 -3 0 5 0 -7 0 9 0 -11 0 13 0 -15 0 17 0 -19 0 21 0 -23 0 25 0 -27 0 29 0 -31 | +| 142 | Schroeder:Inv | TransNat1 | B009531 | 1 2 -1 -4 1 6 -1 -8 1 10 -1 -12 1 14 -1 -16 1 18 -1 -20 1 22 -1 -24 1 26 -1 -28 1 30 -1 -32 | +| 143 | Schroeder:Inv | TransSqrs | A000982 | 0 1 2 -5 -8 13 18 -25 -32 41 50 -61 -72 85 98 -113 -128 145 162 -181 -200 221 242 -265 -288 313 338 | +| 144 | Schroeder:Inv | PosHalf | A169998 | 1 1 -3 1 5 -7 -3 17 -11 -23 45 1 -91 89 93 -271 85 457 -627 -287 1541 -967 -2115 4049 181 -8279 | +| 145 | Schroeder:Inv | NegHalf | A007483 | 1 1 5 17 61 217 773 2753 9805 34921 124373 442961 1577629 5618809 20011685 71272673 253841389 | +| 146 | Schroeder:Inv | DiagRow1 | A005843 | 0 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 | +| 147 | Schroeder:Inv | DiagRow2 | A001105 | 0 2 8 18 32 50 72 98 128 162 200 242 288 338 392 450 512 578 648 722 800 882 968 1058 1152 1250 | +| 148 | Schroeder:Inv | DiagRow3 | A035597 | 0 -2 -12 -38 -88 -170 -292 -462 -688 -978 -1340 -1782 -2312 -2938 -3668 -4510 -5472 -6562 -7788 | +| 149 | Schroeder:Inv | DiagCol1 | A036452 | 1 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 | +| 150 | Schroeder:Inv | DiagCol2 | A008574 | 1 -4 8 -12 16 -20 24 -28 32 -36 40 -44 48 -52 56 -60 64 -68 72 -76 80 -84 88 -92 96 -100 104 -108 | +| 151 | Schroeder:Inv | DiagCol3 | A005899 | 1 -6 18 -38 66 -102 146 -198 258 -326 402 -486 578 -678 786 -902 1026 -1158 1298 -1446 1602 -1766 | +| 152 | Schroeder:Inv | Poly | missing | 1 0 1 0 1 1 0 -1 2 1 0 -1 0 3 1 0 1 -4 3 4 1 0 1 -4 -3 8 5 1 0 -1 4 -15 8 15 6 1 0 -1 12 -21 -8 35 | +| 153 | Schroeder:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 154 | Schroeder:Inv | PolyRow2 | A067998 | 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 155 | Schroeder:Inv | PolyRow3 | missing | 0 -1 -4 -3 8 35 84 161 272 423 620 869 1176 1547 1988 2505 3104 3791 4572 5453 6440 7539 8756 10097 | +| 156 | Schroeder:Inv | PolyCol2 | A078050 | 1 2 0 -4 -4 4 12 4 -20 -28 12 68 44 -92 -180 4 364 356 -372 -1084 -340 1828 2508 -1148 -6164 -3868 | +| 157 | Schroeder:Inv | PolyCol3 | missing | 1 3 3 -3 -15 -21 3 69 129 51 -285 -723 -591 987 3747 4533 -2175 -17949 -29373 -4899 78321 171339 | +| 158 | Schroeder:Inv | PolyDiag | missing | 1 1 0 -3 -8 85 2724 62489 1456624 36537417 997685180 29653122389 955955086824 33278514154717 | +| 159 | Schroeder:Inv:Rev | Triangle | A266213 | 1 1 0 1 -2 0 1 -4 2 0 1 -6 8 -2 0 1 -8 18 -12 2 0 1 -10 32 -38 16 -2 0 1 -12 50 -88 66 -20 2 0 1 | +| 160 | Schroeder:Inv:Rev | Rev | A122542 | 1 0 1 0 -2 1 0 2 -4 1 0 -2 8 -6 1 0 2 -12 18 -8 1 0 -2 16 -38 32 -10 1 0 2 -20 66 -88 50 -12 1 0 -2 | +| 161 | Schroeder:Inv:Rev | InvRev | A122538 | 1 0 1 0 2 1 0 6 4 1 0 22 16 6 1 0 90 68 30 8 1 0 394 304 146 48 10 1 0 1806 1412 714 264 70 12 1 0 | +| 162 | Schroeder:Inv:Rev | Acc | missing | 1 1 1 1 -1 -1 1 -3 -1 -1 1 -5 3 1 1 1 -7 11 -1 1 1 1 -9 23 -15 1 -1 -1 1 -11 39 -49 17 -3 -1 -1 1 | +| 163 | Schroeder:Inv:Rev | AccRev | missing | 1 0 1 0 -2 -1 0 2 -2 -1 0 -2 6 0 1 0 2 -10 8 0 1 0 -2 14 -24 8 -2 -1 0 2 -18 48 -40 10 -2 -1 0 -2 | +| 164 | Schroeder:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -2 1 -4 0 1 -6 2 1 -8 8 0 1 -10 18 -2 1 -12 32 -12 0 1 -14 50 -38 2 1 -16 72 -88 16 0 1 | +| 165 | Schroeder:Inv:Rev | Diffx1 | missing | 1 1 0 1 -4 0 1 -8 6 0 1 -12 24 -8 0 1 -16 54 -48 10 0 1 -20 96 -152 80 -12 0 1 -24 150 -352 330 | +| 166 | Schroeder:Inv:Rev | EvenSum | missing | 1 1 1 3 9 21 49 119 289 697 1681 4059 9801 23661 57121 137903 332929 803761 1940449 4684659 | +| 167 | Schroeder:Inv:Rev | OddSum | missing | 0 0 -2 -4 -8 -20 -50 -120 -288 -696 -1682 -4060 -9800 -23660 -57122 -137904 -332928 -803760 | +| 168 | Schroeder:Inv:Rev | AltSum | A001333 | 1 1 3 7 17 41 99 239 577 1393 3363 8119 19601 47321 114243 275807 665857 1607521 3880899 9369319 | +| 169 | Schroeder:Inv:Rev | DiagSum | A180735 | 1 1 1 -1 -3 -3 1 7 9 1 -15 -25 -11 29 65 47 -47 -159 -159 47 365 477 65 -777 -1319 -607 1489 3415 | +| 170 | Schroeder:Inv:Rev | AccSum | B009531 | 1 2 -1 -4 1 6 -1 -8 1 10 -1 -12 1 14 -1 -16 1 18 -1 -20 1 22 -1 -24 1 26 -1 -28 1 30 -1 -32 | +| 171 | Schroeder:Inv:Rev | AccRevSum | B093178 | 1 1 -3 -1 5 1 -7 -1 9 1 -11 -1 13 1 -15 -1 17 1 -19 -1 21 1 -23 -1 25 1 -27 -1 29 1 -31 -1 | +| 172 | Schroeder:Inv:Rev | RowLcm | missing | 1 1 2 4 24 72 3040 6600 342720 12877200 281457792 45725102640 56738793619200 1803731322088080 | +| 173 | Schroeder:Inv:Rev | RowGcd | A053230 | 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | +| 174 | Schroeder:Inv:Rev | RowMax | A110110 | 1 1 2 4 8 18 38 88 192 450 1002 2364 5336 12642 28814 68464 157184 374274 864146 2060980 4780008 | +| 175 | Schroeder:Inv:Rev | ColMiddle | A110110 | 1 1 -2 -4 8 18 -38 -88 192 450 -1002 -2364 5336 12642 -28814 -68464 157184 374274 -864146 -2060980 | +| 176 | Schroeder:Inv:Rev | CentralE | A123164 | 1 -2 8 -38 192 -1002 5336 -28814 157184 -864146 4780008 -26572086 148321344 -830764794 4666890936 | +| 177 | Schroeder:Inv:Rev | CentralO | B050146 | 1 -4 18 -88 450 -2364 12642 -68464 374274 -2060980 11414898 -63521352 354870594 -1989102444 | +| 178 | Schroeder:Inv:Rev | BinConv | missing | 1 1 -3 -5 17 31 -111 -209 769 1471 -5503 -10625 40193 78079 -297727 -580865 2228225 4361215 | +| 179 | Schroeder:Inv:Rev | InvBinConv | A240688 | 1 -1 5 -19 81 -351 1553 -6959 31489 -143551 658305 -3033471 14034177 -65147135 303285505 | +| 180 | Schroeder:Inv:Rev | TransNat0 | A237420 | 0 0 -2 0 4 0 -6 0 8 0 -10 0 12 0 -14 0 16 0 -18 0 20 0 -22 0 24 0 -26 0 28 0 -30 0 | +| 181 | Schroeder:Inv:Rev | TransNat1 | B093178 | 1 1 -3 -1 5 1 -7 -1 9 1 -11 -1 13 1 -15 -1 17 1 -19 -1 21 1 -23 -1 25 1 -27 -1 29 1 -31 -1 | +| 182 | Schroeder:Inv:Rev | TransSqrs | A007590 | 0 0 -2 4 8 -12 -18 24 32 -40 -50 60 72 -84 -98 112 128 -144 -162 180 200 -220 -242 264 288 -312 | +| 183 | Schroeder:Inv:Rev | PosHalf | A078050 | 1 2 0 -4 -4 4 12 4 -20 -28 12 68 44 -92 -180 4 364 356 -372 -1084 -340 1828 2508 -1148 -6164 -3868 | +| 184 | Schroeder:Inv:Rev | NegHalf | A104934 | 1 -2 8 -28 100 -356 1268 -4516 16084 -57284 204020 -726628 2587924 -9217028 32826932 -116914852 | +| 185 | Schroeder:Inv:Rev | DiagRow1 | A036452 | 1 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 2 -2 | +| 186 | Schroeder:Inv:Rev | DiagRow2 | A008574 | 1 -4 8 -12 16 -20 24 -28 32 -36 40 -44 48 -52 56 -60 64 -68 72 -76 80 -84 88 -92 96 -100 104 -108 | +| 187 | Schroeder:Inv:Rev | DiagRow3 | A005899 | 1 -6 18 -38 66 -102 146 -198 258 -326 402 -486 578 -678 786 -902 1026 -1158 1298 -1446 1602 -1766 | +| 188 | Schroeder:Inv:Rev | DiagCol1 | A005843 | 0 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 | +| 189 | Schroeder:Inv:Rev | DiagCol2 | A001105 | 0 2 8 18 32 50 72 98 128 162 200 242 288 338 392 450 512 578 648 722 800 882 968 1058 1152 1250 | +| 190 | Schroeder:Inv:Rev | DiagCol3 | A035597 | 0 -2 -12 -38 -88 -170 -292 -462 -688 -978 -1340 -1782 -2312 -2938 -3668 -4510 -5472 -6562 -7788 | +| 191 | Schroeder:Inv:Rev | Poly | A065372 | 1 1 1 1 1 1 1 -1 1 1 1 -1 -3 1 1 1 1 1 -5 1 1 1 1 5 7 -7 1 1 1 -1 -7 1 17 -9 1 1 1 -1 -3 -23 -23 31 | +| 192 | Schroeder:Inv:Rev | PolyRow2 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | +| 193 | Schroeder:Inv:Rev | PolyRow3 | A056220 | 1 -1 1 7 17 31 49 71 97 127 161 199 241 287 337 391 449 511 577 647 721 799 881 967 1057 1151 1249 | +| 194 | Schroeder:Inv:Rev | PolyCol2 | A169998 | 1 1 -3 1 5 -7 -3 17 -11 -23 45 1 -91 89 93 -271 85 457 -627 -287 1541 -967 -2115 4049 181 -8279 | +| 195 | Schroeder:Inv:Rev | PolyCol3 | B087455 | 1 1 -5 7 1 -23 43 -17 -95 241 -197 -329 1249 -1511 -725 5983 -9791 1633 26107 -57113 35905 99529 | +| 196 | Schroeder:Inv:Rev | PolyDiag | missing | 1 1 -3 7 -23 161 -1931 29807 -541295 11250433 -263529379 6874282999 -197722407431 6218421457249 | \ No newline at end of file diff --git a/data/md/SchroederL.md b/data/md/SchroederL.md index 0ec9912..0253d74 100644 --- a/data/md/SchroederL.md +++ b/data/md/SchroederL.md @@ -40,124 +40,164 @@ | 37 | SchroederL:Std | PolyCol2 | missing | 1 3 15 81 453 2583 14907 86733 507561 2982987 17588775 103976073 615916269 3654551007 21714187923 | | 38 | SchroederL:Std | PolyCol3 | missing | 1 4 24 152 984 6440 42408 280312 1857336 12326792 81903816 544641816 3623887512 24122853096 | | 39 | SchroederL:Std | PolyDiag | missing | 1 2 15 152 1885 27612 468699 9088368 198855801 4856756660 131154927079 3883846354632 | -| 40 | SchroederL:Rev | Triangle | missing | 1 1 1 1 4 3 1 7 17 11 1 10 40 76 45 1 13 72 216 353 197 1 16 113 458 1145 1688 903 1 19 163 829 | -| 41 | SchroederL:Rev | InvRev | A331969 | 1 -1 1 1 -4 1 -1 11 -7 1 1 -26 30 -10 1 -1 57 -102 58 -13 1 1 -120 303 -256 95 -16 1 -1 247 -825 | -| 42 | SchroederL:Rev | Acc | missing | 1 1 2 1 5 8 1 8 25 36 1 11 51 127 172 1 14 86 302 655 852 1 17 130 588 1733 3421 4324 1 20 183 1012 | -| 43 | SchroederL:Rev | AccRev | missing | 1 1 2 3 7 8 11 28 35 36 45 121 161 171 172 197 550 766 838 851 852 903 2591 3736 4194 4307 4323 | -| 44 | SchroederL:Rev | AntiDiag | missing | 1 1 1 1 1 4 1 7 3 1 10 17 1 13 40 11 1 16 72 76 1 19 113 216 45 1 22 163 458 353 1 25 222 829 1145 | -| 45 | SchroederL:Rev | Diffx1 | missing | 1 1 2 1 8 9 1 14 51 44 1 20 120 304 225 1 26 216 864 1765 1182 1 32 339 1832 5725 10128 6321 1 38 | -| 46 | SchroederL:Rev | RowSum | A109980 | 1 2 8 36 172 852 4324 22332 116876 618084 3296308 17702412 95627580 519170004 2830862532 | -| 47 | SchroederL:Rev | EvenSum | A225887 | 1 1 4 18 86 426 2162 11166 58438 309042 1648154 8851206 47813790 259585002 1415431266 7747200558 | -| 48 | SchroederL:Rev | OddSum | A225887 | 0 1 4 18 86 426 2162 11166 58438 309042 1648154 8851206 47813790 259585002 1415431266 7747200558 | -| 49 | SchroederL:Rev | DiagSum | missing | 1 1 2 5 11 28 65 165 394 997 2419 6108 14965 37733 93038 234361 580383 1460984 3629269 9131401 | -| 50 | SchroederL:Rev | AccSum | missing | 1 3 14 70 362 1910 10214 55154 300034 1641742 9026270 49823594 275945706 1532748918 8535244758 | -| 51 | SchroederL:Rev | AccRevSum | missing | 1 3 18 110 670 4054 24378 145834 868726 5157182 30529426 180307762 1062840414 6254801142 | -| 52 | SchroederL:Rev | RowLcm | missing | 1 1 12 1309 6840 195271128 394433795280 249001897016460555 62191124612870563464 | -| 53 | SchroederL:Rev | RowMax | A239204 | 1 1 4 17 76 353 1688 8257 41128 207905 1063932 5501073 28695252 150827073 798054000 4247388417 | -| 54 | SchroederL:Rev | ColMiddle | missing | 1 1 4 7 40 72 458 829 5558 10070 69660 126176 891154 1613150 11563214 20916909 151605142 274056006 | -| 55 | SchroederL:Rev | CentralE | missing | 1 4 40 458 5558 69660 891154 11563214 151605142 2003523032 26643554232 356113250388 4779679565828 | -| 56 | SchroederL:Rev | CentralO | missing | 1 7 72 829 10070 126176 1613150 20916909 274056006 3619503354 48106284072 642654624970 | -| 57 | SchroederL:Rev | ColRight | A001003 | 1 1 3 11 45 197 903 4279 20793 103049 518859 2646723 13648869 71039373 372693519 1968801519 | -| 58 | SchroederL:Rev | BinConv | missing | 1 2 12 84 630 4908 39158 317544 2605590 21571500 179838560 1507705752 12698265060 107358523496 | -| 59 | SchroederL:Rev | InvBinConv | missing | 1 0 -4 -20 -58 -64 390 2948 10934 20320 -37440 -490280 -2216764 -5523504 363818 80771124 451107110 | -| 60 | SchroederL:Rev | TransNat0 | missing | 0 1 10 74 498 3202 20054 123502 751850 4539098 27233118 162605350 967212834 5735631138 33927693222 | -| 61 | SchroederL:Rev | TransNat1 | missing | 1 3 18 110 670 4054 24378 145834 868726 5157182 30529426 180307762 1062840414 6254801142 | -| 62 | SchroederL:Rev | TransSqrs | missing | 0 1 16 174 1574 12818 97618 709950 4993470 34245290 230270378 1524150038 9959253062 64384727058 | -| 63 | SchroederL:Rev | PosHalf | missing | 1 3 15 81 453 2583 14907 86733 507561 2982987 17588775 103976073 615916269 3654551007 21714187923 | -| 64 | SchroederL:Rev | NegHalf | A001003 | 1 -1 -1 -3 -11 -45 -197 -903 -4279 -20793 -103049 -518859 -2646723 -13648869 -71039373 -372693519 | -| 65 | SchroederL:Rev | DiagRow1 | A239204 | 1 4 17 76 353 1688 8257 41128 207905 1063932 5501073 28695252 150827073 798054000 4247388417 | -| 66 | SchroederL:Rev | DiagRow2 | missing | 1 7 40 216 1145 6039 31864 168584 895209 4772655 25546224 137266704 740266449 4005875279 | -| 67 | SchroederL:Rev | DiagRow3 | missing | 1 10 72 458 2745 15932 90776 511548 2863593 15966390 88819632 493510966 2740862033 15222716824 | -| 68 | SchroederL:Rev | DiagCol1 | A016777 | 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94 | -| 69 | SchroederL:Rev | DiagCol2 | missing | 3 17 40 72 113 163 222 290 367 453 548 652 765 887 1018 1158 1307 1465 1632 1808 1993 2187 2390 | -| 70 | SchroederL:Rev | DiagCol3 | missing | 11 76 216 458 829 1356 2066 2986 4143 5564 7276 9306 11681 14428 17574 21146 25171 29676 34688 | -| 71 | SchroederL:Rev | Poly | missing | 1 1 1 1 2 1 1 8 3 1 1 36 21 4 1 1 172 171 40 5 1 1 852 1509 472 65 6 1 1 4324 13995 6088 1005 96 7 | -| 72 | SchroederL:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 73 | SchroederL:Rev | PolyRow2 | B000567 | 1 8 21 40 65 96 133 176 225 280 341 408 481 560 645 736 833 936 1045 1160 1281 1408 1541 1680 1825 | -| 74 | SchroederL:Rev | PolyRow3 | missing | 1 36 171 472 1005 1836 3031 4656 6777 9460 12771 16776 21541 27132 33615 41056 49521 59076 69787 | -| 75 | SchroederL:Rev | PolyCol2 | A331328 | 1 3 21 171 1509 13995 134277 1320651 13237221 134682219 1387100229 14430764043 151415596197 | -| 76 | SchroederL:Rev | PolyCol3 | missing | 1 4 40 472 6088 82984 1174648 17091256 253959016 3836703496 58748174680 909634368856 14217145385224 | -| 77 | SchroederL:Rev | PolyDiag | missing | 1 2 21 472 17065 865116 56843269 4603748976 443998810161 49729649726260 6347382387502981 | -| 78 | SchroederL:Inv | Triangle | A331969 | 1 -1 1 1 -4 1 -1 11 -7 1 1 -26 30 -10 1 -1 57 -102 58 -13 1 1 -120 303 -256 95 -16 1 -1 247 -825 | -| 79 | SchroederL:Inv | Rev | missing | 1 1 -1 1 -4 1 1 -7 11 -1 1 -10 30 -26 1 1 -13 58 -102 57 -1 1 -16 95 -256 303 -120 1 1 -19 141 -515 | -| 80 | SchroederL:Inv | RevInv | missing | 1 1 1 1 4 3 1 7 17 11 1 10 40 76 45 1 13 72 216 353 197 1 16 113 458 1145 1688 903 1 19 163 829 | -| 81 | SchroederL:Inv | InvRev | missing | 1 -1 1 -5 4 1 47 -37 -11 1 1361 -1072 -316 26 1 -72507 57111 16832 -1380 -57 1 -9100733 7168300 | -| 82 | SchroederL:Inv | Acc | missing | 1 -1 0 1 -3 -2 -1 10 3 4 1 -25 5 -5 -4 -1 56 -46 12 -1 0 1 -119 184 -72 23 7 8 -1 246 -579 376 -139 | -| 83 | SchroederL:Inv | AccRev | missing | 1 1 0 1 -3 -2 1 -6 5 4 1 -9 21 -5 -4 1 -12 46 -56 1 0 1 -15 80 -176 127 7 8 1 -18 123 -392 563 -262 | -| 84 | SchroederL:Inv | AntiDiag | A121463 | 1 -1 1 1 -1 -4 1 11 1 -1 -26 -7 1 57 30 1 -1 -120 -102 -10 1 247 303 58 1 -1 -502 -825 -256 -13 1 | -| 85 | SchroederL:Inv | Diffx1 | missing | 1 -1 2 1 -8 3 -1 22 -21 4 1 -52 90 -40 5 -1 114 -306 232 -65 6 1 -240 909 -1024 475 -96 7 -1 494 | -| 86 | SchroederL:Inv | RowSum | A090132 | 1 0 -2 4 -4 0 8 -16 16 0 -32 64 -64 0 128 -256 256 0 -512 1024 -1024 0 2048 -4096 4096 0 -8192 | -| 87 | SchroederL:Inv | EvenSum | missing | 1 -1 2 -8 32 -116 400 -1360 4624 -15760 53792 -183680 627200 -2141504 7311616 -24963328 85229824 | -| 88 | SchroederL:Inv | OddSum | missing | 0 1 -4 12 -36 116 -392 1344 -4608 15760 -53824 183744 -627264 2141504 -7311488 24963072 -85229568 | -| 89 | SchroederL:Inv | AltSum | A006012 | 1 -2 6 -20 68 -232 792 -2704 9232 -31520 107616 -367424 1254464 -4283008 14623104 -49926400 | -| 90 | SchroederL:Inv | DiagSum | A001519 | 1 -1 2 -5 13 -34 89 -233 610 -1597 4181 -10946 28657 -75025 196418 -514229 1346269 -3524578 9227465 | -| 91 | SchroederL:Inv | AccSum | missing | 1 -1 -4 16 -28 20 32 -128 208 -144 -192 768 -1216 832 1024 -4096 6400 -4352 -5120 20480 -31744 | -| 92 | SchroederL:Inv | AccRevSum | missing | 1 1 -4 4 4 -20 32 -16 -48 144 -192 64 320 -832 1024 -256 -1792 4352 -5120 1024 9216 -21504 24576 | -| 93 | SchroederL:Inv | RowLcm | missing | 1 1 4 77 390 730626 7368960 188416682025 147187935422220 9210398405098800 867366479041609225319424 | -| 94 | SchroederL:Inv | RowGcd | B297382 | 1 1 4 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 95 | SchroederL:Inv | RowMax | missing | 1 1 4 11 30 102 303 955 3178 9740 32354 106970 333295 1136799 3748104 11877537 40877760 134581692 | -| 96 | SchroederL:Inv | ColMiddle | missing | 1 -1 -4 11 30 -102 -256 955 2310 -9078 -21504 87374 204204 -849180 -1966080 8316627 19122246 | -| 97 | SchroederL:Inv | CentralE | A091527 | 1 -4 30 -256 2310 -21504 204204 -1966080 19122246 -187432960 1848483780 -18320719872 182327718300 | -| 98 | SchroederL:Inv | CentralO | missing | -1 11 -102 955 -9078 87374 -849180 8316627 -81953190 811645978 -8071975860 80560204894 | -| 99 | SchroederL:Inv | BinConv | missing | 1 0 -6 12 38 -220 36 2632 -6458 -18924 127724 -48136 -1580836 4343976 11041416 -84673648 49912902 | -| 100 | SchroederL:Inv | InvBinConv | missing | 1 2 10 56 326 1952 11908 73600 459334 2888192 18268460 116111360 740945180 4744192000 30464171720 | -| 101 | SchroederL:Inv | TransNat0 | missing | 0 1 -2 0 8 -20 24 0 -64 144 -160 0 384 -832 896 0 -2048 4352 -4608 0 10240 -21504 22528 0 -49152 | -| 102 | SchroederL:Inv | TransNat1 | missing | 1 1 -4 4 4 -20 32 -16 -48 144 -192 64 320 -832 1024 -256 -1792 4352 -5120 1024 9216 -21504 24576 | -| 103 | SchroederL:Inv | TransSqrs | missing | 0 1 0 -8 20 -12 -56 192 -288 80 704 -1920 2496 -448 -5760 14336 -17408 2304 38912 -92160 107520 | -| 104 | SchroederL:Inv | PosHalf | missing | 1 -1 -3 23 -91 271 -627 967 181 -8641 41757 -139657 364229 -703889 605613 2603047 -17860139 | -| 105 | SchroederL:Inv | NegHalf | missing | 1 3 13 67 365 2019 11213 62339 346669 1927971 10722445 59633347 331653869 1844510307 10258341197 | -| 106 | SchroederL:Inv | DiagRow1 | A016777 | -1 -4 -7 -10 -13 -16 -19 -22 -25 -28 -31 -34 -37 -40 -43 -46 -49 -52 -55 -58 -61 -64 -67 -70 -73 | -| 107 | SchroederL:Inv | DiagRow2 | B051682 | 1 11 30 58 95 141 196 260 333 415 506 606 715 833 960 1096 1241 1395 1558 1730 1911 2101 2300 2508 | -| 108 | SchroederL:Inv | DiagRow3 | missing | -1 -26 -102 -256 -515 -906 -1456 -2192 -3141 -4330 -5786 -7536 -9607 -12026 -14820 -18016 -21641 | -| 109 | SchroederL:Inv | DiagCol1 | A125128 | 1 -4 11 -26 57 -120 247 -502 1013 -2036 4083 -8178 16369 -32752 65519 -131054 262125 -524268 | -| 110 | SchroederL:Inv | DiagCol2 | A045889 | 1 -7 30 -102 303 -825 2116 -5200 12381 -28779 65658 -147594 327835 -721069 1573056 -3408084 7340265 | -| 111 | SchroederL:Inv | DiagCol3 | A055583 | 1 -10 58 -256 955 -3178 9740 -28064 77093 -203930 523262 -1309520 3209871 -7731642 18348240 | -| 112 | SchroederL:Inv | Poly | missing | 1 -1 1 1 0 1 -1 -2 1 1 1 4 -3 2 1 -1 -4 1 -2 3 1 1 0 5 -4 1 4 1 -1 8 -7 4 -5 6 5 1 1 -16 -3 8 -7 4 | -| 113 | SchroederL:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | -| 114 | SchroederL:Inv | PolyRow2 | B123968 | 1 -2 -3 -2 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 673 | -| 115 | SchroederL:Inv | PolyRow3 | missing | -1 4 1 -4 -5 4 29 76 151 260 409 604 851 1156 1525 1964 2479 3076 3761 4540 5419 6404 7501 8716 | -| 116 | SchroederL:Inv | PolyCol2 | A169998 | 1 1 -3 1 5 -7 -3 17 -11 -23 45 1 -91 89 93 -271 85 457 -627 -287 1541 -967 -2115 4049 181 -8279 | -| 117 | SchroederL:Inv | PolyCol3 | A060546 | 1 2 -2 -4 4 8 -8 -16 16 32 -32 -64 64 128 -128 -256 256 512 -512 -1024 1024 2048 -2048 -4096 4096 | -| 118 | SchroederL:Inv | PolyDiag | missing | 1 0 -3 -4 -7 -16 253 10352 298321 8420480 248293741 7793136064 261709554889 9405278078208 | -| 119 | SchroederL:Inv:Rev | Triangle | missing | 1 1 -1 1 -4 1 1 -7 11 -1 1 -10 30 -26 1 1 -13 58 -102 57 -1 1 -16 95 -256 303 -120 1 1 -19 141 -515 | -| 120 | SchroederL:Inv:Rev | Rev | A331969 | 1 -1 1 1 -4 1 -1 11 -7 1 1 -26 30 -10 1 -1 57 -102 58 -13 1 1 -120 303 -256 95 -16 1 -1 247 -825 | -| 121 | SchroederL:Inv:Rev | Inv | missing | 1 -1 1 -5 4 1 47 -37 -11 1 1361 -1072 -316 26 1 -72507 57111 16832 -1380 -57 1 -9100733 7168300 | -| 122 | SchroederL:Inv:Rev | RevInv | missing | 1 1 -1 1 4 -5 1 -11 -37 47 1 26 -316 -1072 1361 1 -57 -1380 16832 57111 -72507 1 120 -7143 -173222 | -| 123 | SchroederL:Inv:Rev | InvRev | A172094 | 1 1 1 3 4 1 11 17 7 1 45 76 40 10 1 197 353 216 72 13 1 903 1688 1145 458 113 16 1 4279 8257 6039 | -| 124 | SchroederL:Inv:Rev | Acc | missing | 1 1 0 1 -3 -2 1 -6 5 4 1 -9 21 -5 -4 1 -12 46 -56 1 0 1 -15 80 -176 127 7 8 1 -18 123 -392 563 -262 | -| 125 | SchroederL:Inv:Rev | AccRev | missing | 1 -1 0 1 -3 -2 -1 10 3 4 1 -25 5 -5 -4 -1 56 -46 12 -1 0 1 -119 184 -72 23 7 8 -1 246 -579 376 -139 | -| 126 | SchroederL:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -4 1 -7 1 1 -10 11 1 -13 30 -1 1 -16 58 -26 1 -19 95 -102 1 1 -22 141 -256 57 1 -25 196 | -| 127 | SchroederL:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -8 3 1 -14 33 -4 1 -20 90 -104 5 1 -26 174 -408 285 -6 1 -32 285 -1024 1515 -720 7 1 -38 | -| 128 | SchroederL:Inv:Rev | RowSum | A090132 | 1 0 -2 4 -4 0 8 -16 16 0 -32 64 -64 0 128 -256 256 0 -512 1024 -1024 0 2048 -4096 4096 0 -8192 | -| 129 | SchroederL:Inv:Rev | EvenSum | missing | 1 1 2 12 32 116 400 1344 4624 15760 53792 183744 627200 2141504 7311616 24963072 85229824 290992384 | -| 130 | SchroederL:Inv:Rev | OddSum | missing | 0 -1 -4 -8 -36 -116 -392 -1360 -4608 -15760 -53824 -183680 -627264 -2141504 -7311488 -24963328 | -| 131 | SchroederL:Inv:Rev | AltSum | A006012 | 1 2 6 20 68 232 792 2704 9232 31520 107616 367424 1254464 4283008 14623104 49926400 170459392 | -| 132 | SchroederL:Inv:Rev | DiagSum | missing | 1 1 0 -3 -5 2 17 17 -24 -79 -41 162 333 5 -912 -1251 819 4562 3929 -7255 -20680 -8039 46143 84770 | -| 133 | SchroederL:Inv:Rev | AccSum | missing | 1 1 -4 4 4 -20 32 -16 -48 144 -192 64 320 -832 1024 -256 -1792 4352 -5120 1024 9216 -21504 24576 | -| 134 | SchroederL:Inv:Rev | AccRevSum | missing | 1 -1 -4 16 -28 20 32 -128 208 -144 -192 768 -1216 832 1024 -4096 6400 -4352 -5120 20480 -31744 | -| 135 | SchroederL:Inv:Rev | RowLcm | missing | 1 1 4 77 390 730626 7368960 188416682025 147187935422220 9210398405098800 867366479041609225319424 | -| 136 | SchroederL:Inv:Rev | RowGcd | B297382 | 1 1 4 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 137 | SchroederL:Inv:Rev | RowMax | missing | 1 1 4 11 30 102 303 955 3178 9740 32354 106970 333295 1136799 3748104 11877537 40877760 134581692 | -| 138 | SchroederL:Inv:Rev | ColMiddle | missing | 1 1 -4 -7 30 58 -256 -515 2310 4746 -21504 -44758 204204 428772 -1966080 -4154403 19122246 40599130 | -| 139 | SchroederL:Inv:Rev | CentralE | A091527 | 1 -4 30 -256 2310 -21504 204204 -1966080 19122246 -187432960 1848483780 -18320719872 182327718300 | -| 140 | SchroederL:Inv:Rev | CentralO | B244469 | 1 -7 58 -515 4746 -44758 428772 -4154403 40599130 -399429602 3950996556 -39255152846 391466112324 | -| 141 | SchroederL:Inv:Rev | BinConv | missing | 1 0 -6 12 38 -220 36 2632 -6458 -18924 127724 -48136 -1580836 4343976 11041416 -84673648 49912902 | -| 142 | SchroederL:Inv:Rev | InvBinConv | missing | 1 -2 10 -56 326 -1952 11908 -73600 459334 -2888192 18268460 -116111360 740945180 -4744192000 | -| 143 | SchroederL:Inv:Rev | TransNat0 | missing | 0 -1 -2 12 -24 20 24 -112 192 -144 -160 704 -1152 832 896 -3840 6144 -4352 -4608 19456 -30720 21504 | -| 144 | SchroederL:Inv:Rev | TransNat1 | missing | 1 -1 -4 16 -28 20 32 -128 208 -144 -192 768 -1216 832 1024 -4096 6400 -4352 -5120 20480 -31744 | -| 145 | SchroederL:Inv:Rev | TransSqrs | missing | 0 -1 0 28 -108 188 -56 -592 1760 -2512 704 5824 -15936 21184 -5760 -43264 113664 -145664 38912 | -| 146 | SchroederL:Inv:Rev | PosHalf | A169998 | 1 1 -3 1 5 -7 -3 17 -11 -23 45 1 -91 89 93 -271 85 457 -627 -287 1541 -967 -2115 4049 181 -8279 | -| 147 | SchroederL:Inv:Rev | NegHalf | A052984 | 1 -3 13 -59 269 -1227 5597 -25531 116461 -531243 2423293 -11053979 50423309 -230008587 1049196317 | -| 148 | SchroederL:Inv:Rev | DiagRow1 | A125128 | 1 -4 11 -26 57 -120 247 -502 1013 -2036 4083 -8178 16369 -32752 65519 -131054 262125 -524268 | -| 149 | SchroederL:Inv:Rev | DiagRow2 | A045889 | 1 -7 30 -102 303 -825 2116 -5200 12381 -28779 65658 -147594 327835 -721069 1573056 -3408084 7340265 | -| 150 | SchroederL:Inv:Rev | DiagRow3 | A055583 | 1 -10 58 -256 955 -3178 9740 -28064 77093 -203930 523262 -1309520 3209871 -7731642 18348240 | -| 151 | SchroederL:Inv:Rev | DiagCol1 | A016777 | -1 -4 -7 -10 -13 -16 -19 -22 -25 -28 -31 -34 -37 -40 -43 -46 -49 -52 -55 -58 -61 -64 -67 -70 -73 | -| 152 | SchroederL:Inv:Rev | DiagCol2 | B051682 | 1 11 30 58 95 141 196 260 333 415 506 606 715 833 960 1096 1241 1395 1558 1730 1911 2101 2300 2508 | -| 153 | SchroederL:Inv:Rev | DiagCol3 | missing | -1 -26 -102 -256 -515 -906 -1456 -2192 -3141 -4330 -5786 -7536 -9607 -12026 -14820 -18016 -21641 | -| 154 | SchroederL:Inv:Rev | Poly | missing | 1 1 1 1 0 1 1 -2 -1 1 1 4 -3 -2 1 1 -4 23 -2 -3 1 1 0 -91 52 1 -4 1 1 8 271 -380 85 6 -5 1 1 -16 | -| 155 | SchroederL:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 156 | SchroederL:Inv:Rev | PolyRow2 | B123968 | 1 -2 -3 -2 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 673 | -| 157 | SchroederL:Inv:Rev | PolyRow3 | missing | 1 4 23 52 85 116 139 148 137 100 31 -76 -227 -428 -685 -1004 -1391 -1852 -2393 -3020 -3739 -4556 | -| 158 | SchroederL:Inv:Rev | PolyCol2 | missing | 1 -1 -3 23 -91 271 -627 967 181 -8641 41757 -139657 364229 -703889 605613 2603047 -17860139 | -| 159 | SchroederL:Inv:Rev | PolyCol3 | missing | 1 -2 -2 52 -380 2104 -9992 42064 -156656 496096 -1148960 261952 18585664 -153400448 892661632 | -| 160 | SchroederL:Inv:Rev | PolyDiag | missing | 1 0 -3 52 -967 21136 -545747 16493072 -576422831 23017755520 -1038251338979 52346635191104 | \ No newline at end of file +| 40 | SchroederL:Alt | Triangle | A172094 | 1 1 -1 3 -4 1 11 -17 7 -1 45 -76 40 -10 1 197 -353 216 -72 13 -1 903 -1688 1145 -458 113 -16 1 4279 | +| 41 | SchroederL:Alt | Rev | missing | 1 -1 1 1 -4 3 -1 7 -17 11 1 -10 40 -76 45 -1 13 -72 216 -353 197 1 -16 113 -458 1145 -1688 903 -1 | +| 42 | SchroederL:Alt | Inv | missing | 1 -1 1 -7 4 1 21 -11 -7 1 369 -194 -110 10 1 -2323 1219 710 -58 -13 1 -63823 33496 19439 -1600 -321 | +| 43 | SchroederL:Alt | RevInv | missing | 1 1 -1 1 4 -7 1 -7 -11 21 1 10 -110 -194 369 1 -13 -58 710 1219 -2323 1 16 -321 -1600 19439 33496 | +| 44 | SchroederL:Alt | Acc | missing | 1 1 0 3 -1 0 11 -6 1 0 45 -31 9 -1 0 197 -156 60 -12 1 0 903 -785 360 -98 15 -1 0 4279 -3978 2061 | +| 45 | SchroederL:Alt | AccRev | missing | 1 -1 0 1 -3 0 -1 6 -11 0 1 -9 31 -45 0 -1 12 -60 156 -197 0 1 -15 98 -360 785 -903 0 -1 18 -145 684 | +| 46 | SchroederL:Alt | AntiDiag | missing | 1 1 3 -1 11 -4 45 -17 1 197 -76 7 903 -353 40 -1 4279 -1688 216 -10 20793 -8257 1145 -72 1 103049 | +| 47 | SchroederL:Alt | Diffx1 | missing | 1 1 -2 3 -8 3 11 -34 21 -4 45 -152 120 -40 5 197 -706 648 -288 65 -6 903 -3376 3435 -1832 565 -96 7 | +| 48 | SchroederL:Alt | EvenSum | A225887 | 1 1 4 18 86 426 2162 11166 58438 309042 1648154 8851206 47813790 259585002 1415431266 7747200558 | +| 49 | SchroederL:Alt | OddSum | A225887 | 0 -1 -4 -18 -86 -426 -2162 -11166 -58438 -309042 -1648154 -8851206 -47813790 -259585002 -1415431266 | +| 50 | SchroederL:Alt | AltSum | A109980 | 1 2 8 36 172 852 4324 22332 116876 618084 3296308 17702412 95627580 519170004 2830862532 | +| 51 | SchroederL:Alt | DiagSum | missing | 1 1 2 7 29 128 589 2797 13610 67515 340185 1736256 8957625 46639209 244756098 1293281695 6874880885 | +| 52 | SchroederL:Alt | AccSum | A086456 | 1 1 2 6 22 90 394 1806 8558 41586 206098 1037718 5293446 27297738 142078746 745387038 3937603038 | +| 53 | SchroederL:Alt | AccRevSum | A086456 | 1 -1 -2 -6 -22 -90 -394 -1806 -8558 -41586 -206098 -1037718 -5293446 -27297738 -142078746 | +| 54 | SchroederL:Alt | RowLcm | missing | 1 1 12 1309 6840 195271128 394433795280 249001897016460555 62191124612870563464 | +| 55 | SchroederL:Alt | RowMax | A239204 | 1 1 4 17 76 353 1688 8257 41128 207905 1063932 5501073 28695252 150827073 798054000 4247388417 | +| 56 | SchroederL:Alt | ColMiddle | missing | 1 1 -4 -17 40 216 -458 -2745 5558 35318 -69660 -459546 891154 6034094 -11563214 -79811017 151605142 | +| 57 | SchroederL:Alt | CentralE | missing | 1 -4 40 -458 5558 -69660 891154 -11563214 151605142 -2003523032 26643554232 -356113250388 | +| 58 | SchroederL:Alt | CentralO | missing | 1 -17 216 -2745 35318 -459546 6034094 -79811017 1061893830 -14197476798 190591609992 -2567362517418 | +| 59 | SchroederL:Alt | ColLeft | A001003 | 1 1 3 11 45 197 903 4279 20793 103049 518859 2646723 13648869 71039373 372693519 1968801519 | +| 60 | SchroederL:Alt | BinConv | missing | 1 0 -4 -20 -58 -64 390 2948 10934 20320 -37440 -490280 -2216764 -5523504 363818 80771124 451107110 | +| 61 | SchroederL:Alt | InvBinConv | missing | 1 -2 12 -84 630 -4908 39158 -317544 2605590 -21571500 179838560 -1507705752 12698265060 | +| 62 | SchroederL:Alt | TransNat0 | A006318 | 0 -1 -2 -6 -22 -90 -394 -1806 -8558 -41586 -206098 -1037718 -5293446 -27297738 -142078746 | +| 63 | SchroederL:Alt | TransNat1 | A086456 | 1 -1 -2 -6 -22 -90 -394 -1806 -8558 -41586 -206098 -1037718 -5293446 -27297738 -142078746 | +| 64 | SchroederL:Alt | TransSqrs | missing | 0 -1 0 2 10 46 214 1018 4946 24470 122926 625522 3218010 16710846 87483270 461229546 2446828962 | +| 65 | SchroederL:Alt | PosHalf | A330802 | 1 1 5 33 253 2121 18853 174609 1667021 16290969 162171445 1638732129 16765758429 173325794409 | +| 66 | SchroederL:Alt | NegHalf | A331328 | 1 -3 21 -171 1509 -13995 134277 -1320651 13237221 -134682219 1387100229 -14430764043 151415596197 | +| 67 | SchroederL:Alt | DiagRow1 | A016777 | 1 -4 7 -10 13 -16 19 -22 25 -28 31 -34 37 -40 43 -46 49 -52 55 -58 61 -64 67 -70 73 -76 79 -82 85 | +| 68 | SchroederL:Alt | DiagRow2 | missing | 3 -17 40 -72 113 -163 222 -290 367 -453 548 -652 765 -887 1018 -1158 1307 -1465 1632 -1808 1993 | +| 69 | SchroederL:Alt | DiagRow3 | missing | 11 -76 216 -458 829 -1356 2066 -2986 4143 -5564 7276 -9306 11681 -14428 17574 -21146 25171 -29676 | +| 70 | SchroederL:Alt | DiagCol1 | A239204 | -1 -4 -17 -76 -353 -1688 -8257 -41128 -207905 -1063932 -5501073 -28695252 -150827073 -798054000 | +| 71 | SchroederL:Alt | DiagCol2 | missing | 1 7 40 216 1145 6039 31864 168584 895209 4772655 25546224 137266704 740266449 4005875279 | +| 72 | SchroederL:Alt | DiagCol3 | missing | -1 -10 -72 -458 -2745 -15932 -90776 -511548 -2863593 -15966390 -88819632 -493510966 -2740862033 | +| 73 | SchroederL:Alt | Poly | missing | 1 1 1 3 0 1 11 0 -1 1 45 0 -1 -2 1 197 0 -3 0 -3 1 903 0 -11 -4 3 -4 1 4279 0 -45 -12 -9 8 -5 1 | +| 74 | SchroederL:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | SchroederL:Alt | PolyRow2 | A067998 | 3 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 | +| 76 | SchroederL:Alt | PolyRow3 | missing | 11 0 -3 -4 -9 -24 -55 -108 -189 -304 -459 -660 -913 -1224 -1599 -2044 -2565 -3168 -3859 -4644 -5529 | +| 77 | SchroederL:Alt | PolyCol2 | A001003 | 1 -1 -1 -3 -11 -45 -197 -903 -4279 -20793 -103049 -518859 -2646723 -13648869 -71039373 -372693519 | +| 78 | SchroederL:Alt | PolyCol3 | missing | 1 -2 0 -4 -12 -52 -228 -1052 -5004 -24388 -121140 -611052 -3121596 -16117428 -83974212 -440941884 | +| 79 | SchroederL:Alt | PolyDiag | missing | 1 0 -1 -4 -3 -168 1755 -36468 741881 -17546896 458552439 -13221225180 416526416757 -14242237355448 | +| 80 | SchroederL:Rev | Triangle | missing | 1 1 1 1 4 3 1 7 17 11 1 10 40 76 45 1 13 72 216 353 197 1 16 113 458 1145 1688 903 1 19 163 829 | +| 81 | SchroederL:Rev | InvRev | A331969 | 1 -1 1 1 -4 1 -1 11 -7 1 1 -26 30 -10 1 -1 57 -102 58 -13 1 1 -120 303 -256 95 -16 1 -1 247 -825 | +| 82 | SchroederL:Rev | Acc | missing | 1 1 2 1 5 8 1 8 25 36 1 11 51 127 172 1 14 86 302 655 852 1 17 130 588 1733 3421 4324 1 20 183 1012 | +| 83 | SchroederL:Rev | AccRev | missing | 1 1 2 3 7 8 11 28 35 36 45 121 161 171 172 197 550 766 838 851 852 903 2591 3736 4194 4307 4323 | +| 84 | SchroederL:Rev | AntiDiag | missing | 1 1 1 1 1 4 1 7 3 1 10 17 1 13 40 11 1 16 72 76 1 19 113 216 45 1 22 163 458 353 1 25 222 829 1145 | +| 85 | SchroederL:Rev | Diffx1 | missing | 1 1 2 1 8 9 1 14 51 44 1 20 120 304 225 1 26 216 864 1765 1182 1 32 339 1832 5725 10128 6321 1 38 | +| 86 | SchroederL:Rev | RowSum | A109980 | 1 2 8 36 172 852 4324 22332 116876 618084 3296308 17702412 95627580 519170004 2830862532 | +| 87 | SchroederL:Rev | EvenSum | A225887 | 1 1 4 18 86 426 2162 11166 58438 309042 1648154 8851206 47813790 259585002 1415431266 7747200558 | +| 88 | SchroederL:Rev | OddSum | A225887 | 0 1 4 18 86 426 2162 11166 58438 309042 1648154 8851206 47813790 259585002 1415431266 7747200558 | +| 89 | SchroederL:Rev | DiagSum | missing | 1 1 2 5 11 28 65 165 394 997 2419 6108 14965 37733 93038 234361 580383 1460984 3629269 9131401 | +| 90 | SchroederL:Rev | AccSum | missing | 1 3 14 70 362 1910 10214 55154 300034 1641742 9026270 49823594 275945706 1532748918 8535244758 | +| 91 | SchroederL:Rev | AccRevSum | missing | 1 3 18 110 670 4054 24378 145834 868726 5157182 30529426 180307762 1062840414 6254801142 | +| 92 | SchroederL:Rev | RowLcm | missing | 1 1 12 1309 6840 195271128 394433795280 249001897016460555 62191124612870563464 | +| 93 | SchroederL:Rev | RowMax | A239204 | 1 1 4 17 76 353 1688 8257 41128 207905 1063932 5501073 28695252 150827073 798054000 4247388417 | +| 94 | SchroederL:Rev | ColMiddle | missing | 1 1 4 7 40 72 458 829 5558 10070 69660 126176 891154 1613150 11563214 20916909 151605142 274056006 | +| 95 | SchroederL:Rev | CentralE | missing | 1 4 40 458 5558 69660 891154 11563214 151605142 2003523032 26643554232 356113250388 4779679565828 | +| 96 | SchroederL:Rev | CentralO | missing | 1 7 72 829 10070 126176 1613150 20916909 274056006 3619503354 48106284072 642654624970 | +| 97 | SchroederL:Rev | ColRight | A001003 | 1 1 3 11 45 197 903 4279 20793 103049 518859 2646723 13648869 71039373 372693519 1968801519 | +| 98 | SchroederL:Rev | BinConv | missing | 1 2 12 84 630 4908 39158 317544 2605590 21571500 179838560 1507705752 12698265060 107358523496 | +| 99 | SchroederL:Rev | InvBinConv | missing | 1 0 -4 -20 -58 -64 390 2948 10934 20320 -37440 -490280 -2216764 -5523504 363818 80771124 451107110 | +| 100 | SchroederL:Rev | TransNat0 | missing | 0 1 10 74 498 3202 20054 123502 751850 4539098 27233118 162605350 967212834 5735631138 33927693222 | +| 101 | SchroederL:Rev | TransNat1 | missing | 1 3 18 110 670 4054 24378 145834 868726 5157182 30529426 180307762 1062840414 6254801142 | +| 102 | SchroederL:Rev | TransSqrs | missing | 0 1 16 174 1574 12818 97618 709950 4993470 34245290 230270378 1524150038 9959253062 64384727058 | +| 103 | SchroederL:Rev | PosHalf | missing | 1 3 15 81 453 2583 14907 86733 507561 2982987 17588775 103976073 615916269 3654551007 21714187923 | +| 104 | SchroederL:Rev | NegHalf | A001003 | 1 -1 -1 -3 -11 -45 -197 -903 -4279 -20793 -103049 -518859 -2646723 -13648869 -71039373 -372693519 | +| 105 | SchroederL:Rev | DiagRow1 | A239204 | 1 4 17 76 353 1688 8257 41128 207905 1063932 5501073 28695252 150827073 798054000 4247388417 | +| 106 | SchroederL:Rev | DiagRow2 | missing | 1 7 40 216 1145 6039 31864 168584 895209 4772655 25546224 137266704 740266449 4005875279 | +| 107 | SchroederL:Rev | DiagRow3 | missing | 1 10 72 458 2745 15932 90776 511548 2863593 15966390 88819632 493510966 2740862033 15222716824 | +| 108 | SchroederL:Rev | DiagCol1 | A016777 | 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94 | +| 109 | SchroederL:Rev | DiagCol2 | missing | 3 17 40 72 113 163 222 290 367 453 548 652 765 887 1018 1158 1307 1465 1632 1808 1993 2187 2390 | +| 110 | SchroederL:Rev | DiagCol3 | missing | 11 76 216 458 829 1356 2066 2986 4143 5564 7276 9306 11681 14428 17574 21146 25171 29676 34688 | +| 111 | SchroederL:Rev | Poly | missing | 1 1 1 1 2 1 1 8 3 1 1 36 21 4 1 1 172 171 40 5 1 1 852 1509 472 65 6 1 1 4324 13995 6088 1005 96 7 | +| 112 | SchroederL:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 113 | SchroederL:Rev | PolyRow2 | B000567 | 1 8 21 40 65 96 133 176 225 280 341 408 481 560 645 736 833 936 1045 1160 1281 1408 1541 1680 1825 | +| 114 | SchroederL:Rev | PolyRow3 | missing | 1 36 171 472 1005 1836 3031 4656 6777 9460 12771 16776 21541 27132 33615 41056 49521 59076 69787 | +| 115 | SchroederL:Rev | PolyCol2 | A331328 | 1 3 21 171 1509 13995 134277 1320651 13237221 134682219 1387100229 14430764043 151415596197 | +| 116 | SchroederL:Rev | PolyCol3 | missing | 1 4 40 472 6088 82984 1174648 17091256 253959016 3836703496 58748174680 909634368856 14217145385224 | +| 117 | SchroederL:Rev | PolyDiag | missing | 1 2 21 472 17065 865116 56843269 4603748976 443998810161 49729649726260 6347382387502981 | +| 118 | SchroederL:Inv | Triangle | A331969 | 1 -1 1 1 -4 1 -1 11 -7 1 1 -26 30 -10 1 -1 57 -102 58 -13 1 1 -120 303 -256 95 -16 1 -1 247 -825 | +| 119 | SchroederL:Inv | Rev | missing | 1 1 -1 1 -4 1 1 -7 11 -1 1 -10 30 -26 1 1 -13 58 -102 57 -1 1 -16 95 -256 303 -120 1 1 -19 141 -515 | +| 120 | SchroederL:Inv | RevInv | missing | 1 1 1 1 4 3 1 7 17 11 1 10 40 76 45 1 13 72 216 353 197 1 16 113 458 1145 1688 903 1 19 163 829 | +| 121 | SchroederL:Inv | InvRev | missing | 1 -1 1 -5 4 1 47 -37 -11 1 1361 -1072 -316 26 1 -72507 57111 16832 -1380 -57 1 -9100733 7168300 | +| 122 | SchroederL:Inv | Acc | missing | 1 -1 0 1 -3 -2 -1 10 3 4 1 -25 5 -5 -4 -1 56 -46 12 -1 0 1 -119 184 -72 23 7 8 -1 246 -579 376 -139 | +| 123 | SchroederL:Inv | AccRev | missing | 1 1 0 1 -3 -2 1 -6 5 4 1 -9 21 -5 -4 1 -12 46 -56 1 0 1 -15 80 -176 127 7 8 1 -18 123 -392 563 -262 | +| 124 | SchroederL:Inv | AntiDiag | A121463 | 1 -1 1 1 -1 -4 1 11 1 -1 -26 -7 1 57 30 1 -1 -120 -102 -10 1 247 303 58 1 -1 -502 -825 -256 -13 1 | +| 125 | SchroederL:Inv | Diffx1 | missing | 1 -1 2 1 -8 3 -1 22 -21 4 1 -52 90 -40 5 -1 114 -306 232 -65 6 1 -240 909 -1024 475 -96 7 -1 494 | +| 126 | SchroederL:Inv | RowSum | A090132 | 1 0 -2 4 -4 0 8 -16 16 0 -32 64 -64 0 128 -256 256 0 -512 1024 -1024 0 2048 -4096 4096 0 -8192 | +| 127 | SchroederL:Inv | EvenSum | missing | 1 -1 2 -8 32 -116 400 -1360 4624 -15760 53792 -183680 627200 -2141504 7311616 -24963328 85229824 | +| 128 | SchroederL:Inv | OddSum | missing | 0 1 -4 12 -36 116 -392 1344 -4608 15760 -53824 183744 -627264 2141504 -7311488 24963072 -85229568 | +| 129 | SchroederL:Inv | AltSum | A006012 | 1 -2 6 -20 68 -232 792 -2704 9232 -31520 107616 -367424 1254464 -4283008 14623104 -49926400 | +| 130 | SchroederL:Inv | DiagSum | A001519 | 1 -1 2 -5 13 -34 89 -233 610 -1597 4181 -10946 28657 -75025 196418 -514229 1346269 -3524578 9227465 | +| 131 | SchroederL:Inv | AccSum | missing | 1 -1 -4 16 -28 20 32 -128 208 -144 -192 768 -1216 832 1024 -4096 6400 -4352 -5120 20480 -31744 | +| 132 | SchroederL:Inv | AccRevSum | missing | 1 1 -4 4 4 -20 32 -16 -48 144 -192 64 320 -832 1024 -256 -1792 4352 -5120 1024 9216 -21504 24576 | +| 133 | SchroederL:Inv | RowLcm | missing | 1 1 4 77 390 730626 7368960 188416682025 147187935422220 9210398405098800 867366479041609225319424 | +| 134 | SchroederL:Inv | RowGcd | B297382 | 1 1 4 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 135 | SchroederL:Inv | RowMax | missing | 1 1 4 11 30 102 303 955 3178 9740 32354 106970 333295 1136799 3748104 11877537 40877760 134581692 | +| 136 | SchroederL:Inv | ColMiddle | missing | 1 -1 -4 11 30 -102 -256 955 2310 -9078 -21504 87374 204204 -849180 -1966080 8316627 19122246 | +| 137 | SchroederL:Inv | CentralE | A091527 | 1 -4 30 -256 2310 -21504 204204 -1966080 19122246 -187432960 1848483780 -18320719872 182327718300 | +| 138 | SchroederL:Inv | CentralO | missing | -1 11 -102 955 -9078 87374 -849180 8316627 -81953190 811645978 -8071975860 80560204894 | +| 139 | SchroederL:Inv | BinConv | missing | 1 0 -6 12 38 -220 36 2632 -6458 -18924 127724 -48136 -1580836 4343976 11041416 -84673648 49912902 | +| 140 | SchroederL:Inv | InvBinConv | missing | 1 2 10 56 326 1952 11908 73600 459334 2888192 18268460 116111360 740945180 4744192000 30464171720 | +| 141 | SchroederL:Inv | TransNat0 | missing | 0 1 -2 0 8 -20 24 0 -64 144 -160 0 384 -832 896 0 -2048 4352 -4608 0 10240 -21504 22528 0 -49152 | +| 142 | SchroederL:Inv | TransNat1 | missing | 1 1 -4 4 4 -20 32 -16 -48 144 -192 64 320 -832 1024 -256 -1792 4352 -5120 1024 9216 -21504 24576 | +| 143 | SchroederL:Inv | TransSqrs | missing | 0 1 0 -8 20 -12 -56 192 -288 80 704 -1920 2496 -448 -5760 14336 -17408 2304 38912 -92160 107520 | +| 144 | SchroederL:Inv | PosHalf | missing | 1 -1 -3 23 -91 271 -627 967 181 -8641 41757 -139657 364229 -703889 605613 2603047 -17860139 | +| 145 | SchroederL:Inv | NegHalf | missing | 1 3 13 67 365 2019 11213 62339 346669 1927971 10722445 59633347 331653869 1844510307 10258341197 | +| 146 | SchroederL:Inv | DiagRow1 | A016777 | -1 -4 -7 -10 -13 -16 -19 -22 -25 -28 -31 -34 -37 -40 -43 -46 -49 -52 -55 -58 -61 -64 -67 -70 -73 | +| 147 | SchroederL:Inv | DiagRow2 | B051682 | 1 11 30 58 95 141 196 260 333 415 506 606 715 833 960 1096 1241 1395 1558 1730 1911 2101 2300 2508 | +| 148 | SchroederL:Inv | DiagRow3 | missing | -1 -26 -102 -256 -515 -906 -1456 -2192 -3141 -4330 -5786 -7536 -9607 -12026 -14820 -18016 -21641 | +| 149 | SchroederL:Inv | DiagCol1 | A125128 | 1 -4 11 -26 57 -120 247 -502 1013 -2036 4083 -8178 16369 -32752 65519 -131054 262125 -524268 | +| 150 | SchroederL:Inv | DiagCol2 | A045889 | 1 -7 30 -102 303 -825 2116 -5200 12381 -28779 65658 -147594 327835 -721069 1573056 -3408084 7340265 | +| 151 | SchroederL:Inv | DiagCol3 | A055583 | 1 -10 58 -256 955 -3178 9740 -28064 77093 -203930 523262 -1309520 3209871 -7731642 18348240 | +| 152 | SchroederL:Inv | Poly | missing | 1 -1 1 1 0 1 -1 -2 1 1 1 4 -3 2 1 -1 -4 1 -2 3 1 1 0 5 -4 1 4 1 -1 8 -7 4 -5 6 5 1 1 -16 -3 8 -7 4 | +| 153 | SchroederL:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 154 | SchroederL:Inv | PolyRow2 | B123968 | 1 -2 -3 -2 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 673 | +| 155 | SchroederL:Inv | PolyRow3 | missing | -1 4 1 -4 -5 4 29 76 151 260 409 604 851 1156 1525 1964 2479 3076 3761 4540 5419 6404 7501 8716 | +| 156 | SchroederL:Inv | PolyCol2 | A169998 | 1 1 -3 1 5 -7 -3 17 -11 -23 45 1 -91 89 93 -271 85 457 -627 -287 1541 -967 -2115 4049 181 -8279 | +| 157 | SchroederL:Inv | PolyCol3 | A060546 | 1 2 -2 -4 4 8 -8 -16 16 32 -32 -64 64 128 -128 -256 256 512 -512 -1024 1024 2048 -2048 -4096 4096 | +| 158 | SchroederL:Inv | PolyDiag | missing | 1 0 -3 -4 -7 -16 253 10352 298321 8420480 248293741 7793136064 261709554889 9405278078208 | +| 159 | SchroederL:Inv:Rev | Triangle | missing | 1 1 -1 1 -4 1 1 -7 11 -1 1 -10 30 -26 1 1 -13 58 -102 57 -1 1 -16 95 -256 303 -120 1 1 -19 141 -515 | +| 160 | SchroederL:Inv:Rev | Rev | A331969 | 1 -1 1 1 -4 1 -1 11 -7 1 1 -26 30 -10 1 -1 57 -102 58 -13 1 1 -120 303 -256 95 -16 1 -1 247 -825 | +| 161 | SchroederL:Inv:Rev | Inv | missing | 1 -1 1 -5 4 1 47 -37 -11 1 1361 -1072 -316 26 1 -72507 57111 16832 -1380 -57 1 -9100733 7168300 | +| 162 | SchroederL:Inv:Rev | RevInv | missing | 1 1 -1 1 4 -5 1 -11 -37 47 1 26 -316 -1072 1361 1 -57 -1380 16832 57111 -72507 1 120 -7143 -173222 | +| 163 | SchroederL:Inv:Rev | InvRev | A172094 | 1 1 1 3 4 1 11 17 7 1 45 76 40 10 1 197 353 216 72 13 1 903 1688 1145 458 113 16 1 4279 8257 6039 | +| 164 | SchroederL:Inv:Rev | Acc | missing | 1 1 0 1 -3 -2 1 -6 5 4 1 -9 21 -5 -4 1 -12 46 -56 1 0 1 -15 80 -176 127 7 8 1 -18 123 -392 563 -262 | +| 165 | SchroederL:Inv:Rev | AccRev | missing | 1 -1 0 1 -3 -2 -1 10 3 4 1 -25 5 -5 -4 -1 56 -46 12 -1 0 1 -119 184 -72 23 7 8 -1 246 -579 376 -139 | +| 166 | SchroederL:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -4 1 -7 1 1 -10 11 1 -13 30 -1 1 -16 58 -26 1 -19 95 -102 1 1 -22 141 -256 57 1 -25 196 | +| 167 | SchroederL:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -8 3 1 -14 33 -4 1 -20 90 -104 5 1 -26 174 -408 285 -6 1 -32 285 -1024 1515 -720 7 1 -38 | +| 168 | SchroederL:Inv:Rev | RowSum | A090132 | 1 0 -2 4 -4 0 8 -16 16 0 -32 64 -64 0 128 -256 256 0 -512 1024 -1024 0 2048 -4096 4096 0 -8192 | +| 169 | SchroederL:Inv:Rev | EvenSum | missing | 1 1 2 12 32 116 400 1344 4624 15760 53792 183744 627200 2141504 7311616 24963072 85229824 290992384 | +| 170 | SchroederL:Inv:Rev | OddSum | missing | 0 -1 -4 -8 -36 -116 -392 -1360 -4608 -15760 -53824 -183680 -627264 -2141504 -7311488 -24963328 | +| 171 | SchroederL:Inv:Rev | AltSum | A006012 | 1 2 6 20 68 232 792 2704 9232 31520 107616 367424 1254464 4283008 14623104 49926400 170459392 | +| 172 | SchroederL:Inv:Rev | DiagSum | missing | 1 1 0 -3 -5 2 17 17 -24 -79 -41 162 333 5 -912 -1251 819 4562 3929 -7255 -20680 -8039 46143 84770 | +| 173 | SchroederL:Inv:Rev | AccSum | missing | 1 1 -4 4 4 -20 32 -16 -48 144 -192 64 320 -832 1024 -256 -1792 4352 -5120 1024 9216 -21504 24576 | +| 174 | SchroederL:Inv:Rev | AccRevSum | missing | 1 -1 -4 16 -28 20 32 -128 208 -144 -192 768 -1216 832 1024 -4096 6400 -4352 -5120 20480 -31744 | +| 175 | SchroederL:Inv:Rev | RowLcm | missing | 1 1 4 77 390 730626 7368960 188416682025 147187935422220 9210398405098800 867366479041609225319424 | +| 176 | SchroederL:Inv:Rev | RowGcd | B297382 | 1 1 4 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 177 | SchroederL:Inv:Rev | RowMax | missing | 1 1 4 11 30 102 303 955 3178 9740 32354 106970 333295 1136799 3748104 11877537 40877760 134581692 | +| 178 | SchroederL:Inv:Rev | ColMiddle | missing | 1 1 -4 -7 30 58 -256 -515 2310 4746 -21504 -44758 204204 428772 -1966080 -4154403 19122246 40599130 | +| 179 | SchroederL:Inv:Rev | CentralE | A091527 | 1 -4 30 -256 2310 -21504 204204 -1966080 19122246 -187432960 1848483780 -18320719872 182327718300 | +| 180 | SchroederL:Inv:Rev | CentralO | B244469 | 1 -7 58 -515 4746 -44758 428772 -4154403 40599130 -399429602 3950996556 -39255152846 391466112324 | +| 181 | SchroederL:Inv:Rev | BinConv | missing | 1 0 -6 12 38 -220 36 2632 -6458 -18924 127724 -48136 -1580836 4343976 11041416 -84673648 49912902 | +| 182 | SchroederL:Inv:Rev | InvBinConv | missing | 1 -2 10 -56 326 -1952 11908 -73600 459334 -2888192 18268460 -116111360 740945180 -4744192000 | +| 183 | SchroederL:Inv:Rev | TransNat0 | missing | 0 -1 -2 12 -24 20 24 -112 192 -144 -160 704 -1152 832 896 -3840 6144 -4352 -4608 19456 -30720 21504 | +| 184 | SchroederL:Inv:Rev | TransNat1 | missing | 1 -1 -4 16 -28 20 32 -128 208 -144 -192 768 -1216 832 1024 -4096 6400 -4352 -5120 20480 -31744 | +| 185 | SchroederL:Inv:Rev | TransSqrs | missing | 0 -1 0 28 -108 188 -56 -592 1760 -2512 704 5824 -15936 21184 -5760 -43264 113664 -145664 38912 | +| 186 | SchroederL:Inv:Rev | PosHalf | A169998 | 1 1 -3 1 5 -7 -3 17 -11 -23 45 1 -91 89 93 -271 85 457 -627 -287 1541 -967 -2115 4049 181 -8279 | +| 187 | SchroederL:Inv:Rev | NegHalf | A052984 | 1 -3 13 -59 269 -1227 5597 -25531 116461 -531243 2423293 -11053979 50423309 -230008587 1049196317 | +| 188 | SchroederL:Inv:Rev | DiagRow1 | A125128 | 1 -4 11 -26 57 -120 247 -502 1013 -2036 4083 -8178 16369 -32752 65519 -131054 262125 -524268 | +| 189 | SchroederL:Inv:Rev | DiagRow2 | A045889 | 1 -7 30 -102 303 -825 2116 -5200 12381 -28779 65658 -147594 327835 -721069 1573056 -3408084 7340265 | +| 190 | SchroederL:Inv:Rev | DiagRow3 | A055583 | 1 -10 58 -256 955 -3178 9740 -28064 77093 -203930 523262 -1309520 3209871 -7731642 18348240 | +| 191 | SchroederL:Inv:Rev | DiagCol1 | A016777 | -1 -4 -7 -10 -13 -16 -19 -22 -25 -28 -31 -34 -37 -40 -43 -46 -49 -52 -55 -58 -61 -64 -67 -70 -73 | +| 192 | SchroederL:Inv:Rev | DiagCol2 | B051682 | 1 11 30 58 95 141 196 260 333 415 506 606 715 833 960 1096 1241 1395 1558 1730 1911 2101 2300 2508 | +| 193 | SchroederL:Inv:Rev | DiagCol3 | missing | -1 -26 -102 -256 -515 -906 -1456 -2192 -3141 -4330 -5786 -7536 -9607 -12026 -14820 -18016 -21641 | +| 194 | SchroederL:Inv:Rev | Poly | missing | 1 1 1 1 0 1 1 -2 -1 1 1 4 -3 -2 1 1 -4 23 -2 -3 1 1 0 -91 52 1 -4 1 1 8 271 -380 85 6 -5 1 1 -16 | +| 195 | SchroederL:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 196 | SchroederL:Inv:Rev | PolyRow2 | B123968 | 1 -2 -3 -2 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 673 | +| 197 | SchroederL:Inv:Rev | PolyRow3 | missing | 1 4 23 52 85 116 139 148 137 100 31 -76 -227 -428 -685 -1004 -1391 -1852 -2393 -3020 -3739 -4556 | +| 198 | SchroederL:Inv:Rev | PolyCol2 | missing | 1 -1 -3 23 -91 271 -627 967 181 -8641 41757 -139657 364229 -703889 605613 2603047 -17860139 | +| 199 | SchroederL:Inv:Rev | PolyCol3 | missing | 1 -2 -2 52 -380 2104 -9992 42064 -156656 496096 -1148960 261952 18585664 -153400448 892661632 | +| 200 | SchroederL:Inv:Rev | PolyDiag | missing | 1 0 -3 52 -967 21136 -545747 16493072 -576422831 23017755520 -1038251338979 52346635191104 | \ No newline at end of file diff --git a/data/md/SchroederP.md b/data/md/SchroederP.md index 4475751..c6d304c 100644 --- a/data/md/SchroederP.md +++ b/data/md/SchroederP.md @@ -41,122 +41,163 @@ | 38 | SchroederP:Std | PolyCol2 | A069835 | 1 4 22 136 886 5944 40636 281488 1968934 13875544 98365972 700701808 5011371964 35961808432 | | 39 | SchroederP:Std | PolyCol3 | A084771 | 1 5 33 245 1921 15525 127905 1067925 9004545 76499525 653808673 5614995765 48416454529 418895174885 | | 40 | SchroederP:Std | PolyDiag | A335309 | 1 3 22 245 3606 65527 1411404 35066313 985483270 30869546411 1065442493556 40144438269949 | -| 41 | SchroederP:Rev | Triangle | A063007 | 1 1 2 1 6 6 1 12 30 20 1 20 90 140 70 1 30 210 560 630 252 1 42 420 1680 3150 2772 924 1 56 756 | -| 42 | SchroederP:Rev | InvRev | missing | 1 -2 1 6 -6 1 -32 42 -12 1 310 -440 150 -20 1 -4932 7110 -2540 390 -30 1 116424 -168252 60690 -9660 | -| 43 | SchroederP:Rev | Acc | missing | 1 1 3 1 7 13 1 13 43 63 1 21 111 251 321 1 31 241 801 1431 1683 1 43 463 2143 5293 8065 8989 1 57 | -| 44 | SchroederP:Rev | AccRev | missing | 1 2 3 6 12 13 20 50 62 63 70 210 300 320 321 252 882 1442 1652 1682 1683 924 3696 6846 8526 8946 | -| 45 | SchroederP:Rev | AntiDiag | missing | 1 1 1 2 1 6 1 12 6 1 20 30 1 30 90 20 1 42 210 140 1 56 420 560 70 1 72 756 1680 630 1 90 1260 4200 | -| 46 | SchroederP:Rev | Diffx1 | missing | 1 1 4 1 12 18 1 24 90 80 1 40 270 560 350 1 60 630 2240 3150 1512 1 84 1260 6720 15750 16632 6468 1 | -| 47 | SchroederP:Rev | RowSum | A001850 | 1 3 13 63 321 1683 8989 48639 265729 1462563 8097453 45046719 251595969 1409933619 7923848253 | -| 48 | SchroederP:Rev | EvenSum | missing | 1 1 7 31 161 841 4495 24319 132865 731281 4048727 22523359 125797985 704966809 3961924127 | -| 49 | SchroederP:Rev | OddSum | missing | 0 2 6 32 160 842 4494 24320 132864 731282 4048726 22523360 125797984 704966810 3961924126 | -| 50 | SchroederP:Rev | DiagSum | A002426 | 1 1 3 7 19 51 141 393 1107 3139 8953 25653 73789 212941 616227 1787607 5196627 15134931 44152809 | -| 51 | SchroederP:Rev | AccSum | missing | 1 4 21 120 705 4188 24997 149488 894465 5351220 31997493 191193192 1141524033 6809904780 | -| 52 | SchroederP:Rev | AccRevSum | missing | 1 5 31 195 1221 7593 46915 288263 1762825 10736973 65171943 394414155 2380819533 14339099505 | -| 53 | SchroederP:Rev | RowLcm | missing | 1 2 6 60 1260 5040 277200 5405400 12612600 343062720 58663725120 48886437600 12368268712800 | -| 54 | SchroederP:Rev | RowGcd | missing | 1 2 6 2 10 2 42 2 6 2 22 2 26 2 2 2 34 2 114 2 30 2 46 2 30 2 6 2 58 2 62 2 | -| 55 | SchroederP:Rev | RowMax | missing | 1 2 6 30 140 630 3150 16632 84084 420420 2333760 12471030 64664600 355655300 1963217256 10546208400 | -| 56 | SchroederP:Rev | ColMiddle | missing | 1 1 6 12 90 210 1680 4200 34650 90090 756756 2018016 17153136 46558512 399072960 1097450640 | -| 57 | SchroederP:Rev | CentralE | A006480 | 1 6 90 1680 34650 756756 17153136 399072960 9465511770 227873431500 5550996791340 136526995463040 | -| 58 | SchroederP:Rev | CentralO | missing | 1 12 210 4200 90090 2018016 46558512 1097450640 26293088250 638045608200 15643718230140 | -| 59 | SchroederP:Rev | ColRight | A000984 | 1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 40116600 155117520 601080390 | -| 60 | SchroederP:Rev | BinConv | A005258 | 1 3 19 147 1251 11253 104959 1004307 9793891 96918753 970336269 9807518757 99912156111 | -| 61 | SchroederP:Rev | InvBinConv | missing | 1 1 -5 -35 -29 751 3991 -4115 -137885 -495269 2114245 25786795 50109775 -627370925 -4643568305 | -| 62 | SchroederP:Rev | TransNat0 | missing | 0 2 18 132 900 5910 37926 239624 1497096 9274410 57074490 349367436 2129223564 12929165886 | -| 63 | SchroederP:Rev | TransNat1 | missing | 1 5 31 195 1221 7593 46915 288263 1762825 10736973 65171943 394414155 2380819533 14339099505 | -| 64 | SchroederP:Rev | TransSqrs | missing | 0 2 30 312 2760 22290 169806 1242080 8817696 61178130 416822670 2798399736 18559873800 121839376386 | -| 65 | SchroederP:Rev | PosHalf | A069835 | 1 4 22 136 886 5944 40636 281488 1968934 13875544 98365972 700701808 5011371964 35961808432 | -| 66 | SchroederP:Rev | NegHalf | A126869 | 1 0 -2 0 6 0 -20 0 70 0 -252 0 924 0 -3432 0 12870 0 -48620 0 184756 0 -705432 0 2704156 0 | -| 67 | SchroederP:Rev | DiagRow1 | A002457 | 1 6 30 140 630 2772 12012 51480 218790 923780 3879876 16224936 67603900 280816200 1163381400 | -| 68 | SchroederP:Rev | DiagRow2 | A002544 | 1 12 90 560 3150 16632 84084 411840 1969110 9237800 42678636 194699232 878850700 3931426800 | -| 69 | SchroederP:Rev | DiagRow3 | A007744 | 1 20 210 1680 11550 72072 420420 2333760 12471030 64664600 327202876 1622493600 7909656300 | -| 70 | SchroederP:Rev | DiagCol1 | B002378 | 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | -| 71 | SchroederP:Rev | DiagCol2 | B033487 | 6 30 90 210 420 756 1260 1980 2970 4290 6006 8190 10920 14280 18360 23256 29070 35910 43890 53130 | -| 72 | SchroederP:Rev | DiagCol3 | A105939 | 20 140 560 1680 4200 9240 18480 34320 60060 100100 160160 247520 371280 542640 775200 1085280 | -| 73 | SchroederP:Rev | Poly | missing | 1 1 1 1 3 1 1 13 5 1 1 63 37 7 1 1 321 305 73 9 1 1 1683 2641 847 121 11 1 1 8989 23525 10321 1809 | -| 74 | SchroederP:Rev | PolyRow1 | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | -| 75 | SchroederP:Rev | PolyRow2 | A003154 | 1 13 37 73 121 181 253 337 433 541 661 793 937 1093 1261 1441 1633 1837 2053 2281 2521 2773 3037 | -| 76 | SchroederP:Rev | PolyRow3 | A160674 | 1 63 305 847 1809 3311 5473 8415 12257 17119 23121 30383 39025 49167 60929 74431 89793 107135 | -| 77 | SchroederP:Rev | PolyCol2 | A006442 | 1 5 37 305 2641 23525 213445 1961825 18205345 170195525 1600472677 15122515985 143457011569 | -| 78 | SchroederP:Rev | PolyCol3 | A084768 | 1 7 73 847 10321 129367 1651609 21360031 278905249 3668760487 48543499753 645382441711 | -| 79 | SchroederP:Rev | PolyDiag | A331656 | 1 3 37 847 28401 1256651 69125869 4548342975 348434664769 30463322582899 2993348092318101 | -| 80 | SchroederP:Inv | Triangle | missing | 1 -2 1 6 -6 1 -32 42 -12 1 310 -440 150 -20 1 -4932 7110 -2540 390 -30 1 116424 -168252 60690 -9660 | -| 81 | SchroederP:Inv | Rev | missing | 1 1 -2 1 -6 6 1 -12 42 -32 1 -20 150 -440 310 1 -30 390 -2540 7110 -4932 1 -42 840 -9660 60690 | -| 82 | SchroederP:Inv | RevInv | A063007 | 1 1 2 1 6 6 1 12 30 20 1 20 90 140 70 1 30 210 560 630 252 1 42 420 1680 3150 2772 924 1 56 756 | -| 83 | SchroederP:Inv | Acc | missing | 1 -2 -1 6 0 1 -32 10 -2 -1 310 -130 20 0 1 -4932 2178 -362 28 -2 -1 116424 -51828 8862 -798 42 0 1 | -| 84 | SchroederP:Inv | AccRev | missing | 1 1 -1 1 -5 1 1 -11 31 -1 1 -19 131 -309 1 1 -29 361 -2179 4931 -1 1 -41 799 -8861 51829 -116423 1 | -| 85 | SchroederP:Inv | AntiDiag | missing | 1 -2 6 1 -32 -6 310 42 1 -4932 -440 -12 116424 7110 150 1 -3802752 -168252 -2540 -20 163825974 | -| 86 | SchroederP:Inv | Diffx1 | missing | 1 -2 2 6 -12 3 -32 84 -36 4 310 -880 450 -80 5 -4932 14220 -7620 1560 -150 6 116424 -336504 182070 | -| 87 | SchroederP:Inv | EvenSum | missing | 1 -2 7 -44 461 -7502 177955 -5817800 250675801 -13754614922 935751981407 -77267496160340 | -| 88 | SchroederP:Inv | OddSum | missing | 0 1 -6 43 -460 7501 -177954 5817799 -250675800 13754614921 -935751981406 77267496160339 | -| 89 | SchroederP:Inv | AltSum | missing | 1 -3 13 -87 921 -15003 355909 -11635599 501351601 -27509229843 1871503962813 -154534992320679 | -| 90 | SchroederP:Inv | DiagSum | missing | 1 -2 7 -38 353 -5384 123685 -3973564 169384687 -9227759606 624611157821 -51384379710446 | -| 91 | SchroederP:Inv | AccSum | missing | 1 -3 7 -25 201 -3091 72703 -2373897 102265705 -5611148011 381734646591 -31520799931633 | -| 92 | SchroederP:Inv | AccRevSum | missing | 1 0 -3 20 -195 3084 -72695 2373888 -102265695 5611148000 -381734646579 31520799931620 | -| 93 | SchroederP:Inv | RowLcm | missing | 1 2 6 672 204600 3216379140 7750311334920 131426737497966879360 54722432423401919925487384726080 | -| 94 | SchroederP:Inv | RowGcd | missing | 1 2 6 2 10 2 42 2 6 2 22 2 26 2 2 2 34 2 114 2 30 2 46 2 30 2 6 2 58 2 62 2 | -| 95 | SchroederP:Inv | RowMax | missing | 1 2 6 42 440 7110 168252 5497632 236856384 12996105750 884146372340 73006244474196 7190633348844816 | -| 96 | SchroederP:Inv | ColMiddle | missing | 1 -2 -6 42 150 -2540 -9660 318570 1240470 -68166252 -268199316 22151452092 87622410876 | -| 97 | SchroederP:Inv | CentralE | missing | 1 -6 150 -9660 1240470 -268199316 87622410876 -40261266559800 24737671557915030 | -| 98 | SchroederP:Inv | CentralO | missing | -2 42 -2540 318570 -68166252 22151452092 -10146680307192 6222162826878570 -4918371152543308460 | -| 99 | SchroederP:Inv | ColLeft | missing | 1 -2 6 -32 310 -4932 116424 -3802752 163825974 -8988907100 611529126076 -50495522176992 | -| 100 | SchroederP:Inv | BinConv | missing | 1 -1 -5 59 -629 8969 -163589 3149075 -21014069 -5852034211 899181599845 -115896134963995 | -| 101 | SchroederP:Inv | InvBinConv | missing | 1 3 19 195 3051 69933 2242339 96184707 5316455755 367541743353 31038259817709 3141413180151117 | -| 102 | SchroederP:Inv | TransNat0 | missing | 0 1 -4 21 -196 3085 -72696 2373889 -102265696 5611148001 -381734646580 31520799931621 | -| 103 | SchroederP:Inv | TransNat1 | missing | 1 0 -3 20 -195 3084 -72695 2373888 -102265695 5611148000 -381734646579 31520799931620 | -| 104 | SchroederP:Inv | TransSqrs | A001477 | 0 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 | -| 105 | SchroederP:Inv | PosHalf | missing | 1 -3 13 -111 2001 -62883 2964109 -193594719 16680002593 -1830409796163 249050983487373 | -| 106 | SchroederP:Inv | NegHalf | missing | 1 5 37 449 9121 293525 13886965 907498625 78196256065 8581126634405 1167576334672837 | -| 107 | SchroederP:Inv | DiagRow1 | B002378 | -2 -6 -12 -20 -30 -42 -56 -72 -90 -110 -132 -156 -182 -210 -240 -272 -306 -342 -380 -420 -462 -506 | -| 108 | SchroederP:Inv | DiagRow2 | missing | 6 42 150 390 840 1596 2772 4500 6930 10230 14586 20202 27300 36120 46920 59976 75582 94050 115710 | -| 109 | SchroederP:Inv | DiagRow3 | missing | -32 -440 -2540 -9660 -28560 -71232 -157080 -315480 -588720 -1035320 -1733732 -2786420 -4324320 | -| 110 | SchroederP:Inv | DiagCol1 | missing | 1 -6 42 -440 7110 -168252 5497632 -236856384 12996105750 -884146372340 73006244474196 | -| 111 | SchroederP:Inv | DiagCol2 | missing | 1 -12 150 -2540 60690 -1986432 85606584 -4697384400 319573375110 -26388034855160 2599047970783836 | -| 112 | SchroederP:Inv | DiagCol3 | missing | 1 -20 390 -9660 318570 -13748112 754567800 -51337094160 4239074011590 -417521481514280 | -| 113 | SchroederP:Inv | Poly | missing | 1 -2 1 6 -1 1 -32 1 0 1 310 -1 -2 1 1 -4932 1 12 -3 2 1 116424 -1 -114 13 -2 3 1 -3802752 1 1800 | -| 114 | SchroederP:Inv | PolyRow1 | A022958 | -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | -| 115 | SchroederP:Inv | PolyRow2 | missing | 6 1 -2 -3 -2 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 | -| 116 | SchroederP:Inv | PolyRow3 | missing | -32 -1 12 13 8 3 4 17 48 103 188 309 472 683 948 1273 1664 2127 2668 3293 4008 4819 5732 6753 7888 | -| 117 | SchroederP:Inv | PolyCol2 | missing | 1 0 -2 12 -114 1800 -42440 1386000 -59708810 3276129360 -222879971412 18403766756760 | -| 118 | SchroederP:Inv | PolyCol3 | missing | 1 1 -3 13 -119 1881 -44379 1449477 -62444367 3426233521 -233091877523 19246991221437 | -| 119 | SchroederP:Inv | PolyDiag | missing | 1 -1 -2 13 -74 243 13896 -898375 48043318 -2644884473 153403353676 -8950893339291 436954169955304 | -| 120 | SchroederP:Inv:Rev | Triangle | missing | 1 1 -2 1 -6 6 1 -12 42 -32 1 -20 150 -440 310 1 -30 390 -2540 7110 -4932 1 -42 840 -9660 60690 | -| 121 | SchroederP:Inv:Rev | Rev | missing | 1 -2 1 6 -6 1 -32 42 -12 1 310 -440 150 -20 1 -4932 7110 -2540 390 -30 1 116424 -168252 60690 -9660 | -| 122 | SchroederP:Inv:Rev | InvRev | A104684 | 1 2 1 6 6 1 20 30 12 1 70 140 90 20 1 252 630 560 210 30 1 924 2772 3150 1680 420 42 1 3432 12012 | -| 123 | SchroederP:Inv:Rev | Acc | missing | 1 1 -1 1 -5 1 1 -11 31 -1 1 -19 131 -309 1 1 -29 361 -2179 4931 -1 1 -41 799 -8861 51829 -116423 1 | -| 124 | SchroederP:Inv:Rev | AccRev | missing | 1 -2 -1 6 0 1 -32 10 -2 -1 310 -130 20 0 1 -4932 2178 -362 28 -2 -1 116424 -51828 8862 -798 42 0 1 | -| 125 | SchroederP:Inv:Rev | AntiDiag | missing | 1 1 1 -2 1 -6 1 -12 6 1 -20 42 1 -30 150 -32 1 -42 390 -440 1 -56 840 -2540 310 1 -72 1596 -9660 | -| 126 | SchroederP:Inv:Rev | Diffx1 | missing | 1 1 -4 1 -12 18 1 -24 126 -128 1 -40 450 -1760 1550 1 -60 1170 -10160 35550 -29592 1 -84 2520 | -| 127 | SchroederP:Inv:Rev | EvenSum | missing | 1 1 7 43 461 7501 177955 5817799 250675801 13754614921 935751981407 77267496160339 7610339286733925 | -| 128 | SchroederP:Inv:Rev | OddSum | missing | 0 -2 -6 -44 -460 -7502 -177954 -5817800 -250675800 -13754614922 -935751981406 -77267496160340 | -| 129 | SchroederP:Inv:Rev | AltSum | missing | 1 3 13 87 921 15003 355909 11635599 501351601 27509229843 1871503962813 154534992320679 | -| 130 | SchroederP:Inv:Rev | DiagSum | missing | 1 1 -1 -5 -5 23 89 -91 -1445 -1025 29881 83477 -779819 -4619015 23820935 274709003 -727641013 | -| 131 | SchroederP:Inv:Rev | AccSum | missing | 1 0 -3 20 -195 3084 -72695 2373888 -102265695 5611148000 -381734646579 31520799931620 | -| 132 | SchroederP:Inv:Rev | AccRevSum | missing | 1 -3 7 -25 201 -3091 72703 -2373897 102265705 -5611148011 381734646591 -31520799931633 | -| 133 | SchroederP:Inv:Rev | RowLcm | missing | 1 2 6 672 204600 3216379140 7750311334920 131426737497966879360 54722432423401919925487384726080 | -| 134 | SchroederP:Inv:Rev | RowGcd | missing | 1 2 6 2 10 2 42 2 6 2 22 2 26 2 2 2 34 2 114 2 30 2 46 2 30 2 6 2 58 2 62 2 | -| 135 | SchroederP:Inv:Rev | RowMax | missing | 1 2 6 42 440 7110 168252 5497632 236856384 12996105750 884146372340 73006244474196 7190633348844816 | -| 136 | SchroederP:Inv:Rev | ColMiddle | missing | 1 1 -6 -12 150 390 -9660 -28560 1240470 3936870 -268199316 -889418376 87622410876 299376289212 | -| 137 | SchroederP:Inv:Rev | CentralE | missing | 1 -6 150 -9660 1240470 -268199316 87622410876 -40261266559800 24737671557915030 | -| 138 | SchroederP:Inv:Rev | CentralO | missing | 1 -12 390 -28560 3936870 -889418376 299376289212 -140561186800320 87789560955898230 | -| 139 | SchroederP:Inv:Rev | ColRight | missing | 1 -2 6 -32 310 -4932 116424 -3802752 163825974 -8988907100 611529126076 -50495522176992 | -| 140 | SchroederP:Inv:Rev | BinConv | missing | 1 -1 -5 59 -629 8969 -163589 3149075 -21014069 -5852034211 899181599845 -115896134963995 | -| 141 | SchroederP:Inv:Rev | InvBinConv | missing | 1 -3 19 -195 3051 -69933 2242339 -96184707 5316455755 -367541743353 31038259817709 | -| 142 | SchroederP:Inv:Rev | TransNat0 | missing | 0 -2 6 -24 200 -3090 72702 -2373896 102265704 -5611148010 381734646590 -31520799931632 | -| 143 | SchroederP:Inv:Rev | TransNat1 | missing | 1 -3 7 -25 201 -3091 72703 -2373897 102265705 -5611148011 381734646591 -31520799931633 | -| 144 | SchroederP:Inv:Rev | TransSqrs | missing | 0 -2 18 -132 1580 -30870 872382 -33234488 1636251192 -101000664090 7634692931690 -693457598495772 | -| 145 | SchroederP:Inv:Rev | PosHalf | missing | 1 0 -2 12 -114 1800 -42440 1386000 -59708810 3276129360 -222879971412 18403766756760 | -| 146 | SchroederP:Inv:Rev | NegHalf | missing | 1 -4 22 -172 1966 -32944 787816 -25804048 1112263798 -61034491144 4152344656252 -342870809069848 | -| 147 | SchroederP:Inv:Rev | DiagRow1 | missing | 1 -6 42 -440 7110 -168252 5497632 -236856384 12996105750 -884146372340 73006244474196 | -| 148 | SchroederP:Inv:Rev | DiagRow2 | missing | 1 -12 150 -2540 60690 -1986432 85606584 -4697384400 319573375110 -26388034855160 2599047970783836 | -| 149 | SchroederP:Inv:Rev | DiagRow3 | missing | 1 -20 390 -9660 318570 -13748112 754567800 -51337094160 4239074011590 -417521481514280 | -| 150 | SchroederP:Inv:Rev | DiagCol1 | B002378 | -2 -6 -12 -20 -30 -42 -56 -72 -90 -110 -132 -156 -182 -210 -240 -272 -306 -342 -380 -420 -462 -506 | -| 151 | SchroederP:Inv:Rev | DiagCol2 | missing | 6 42 150 390 840 1596 2772 4500 6930 10230 14586 20202 27300 36120 46920 59976 75582 94050 115710 | -| 152 | SchroederP:Inv:Rev | DiagCol3 | missing | -32 -440 -2540 -9660 -28560 -71232 -157080 -315480 -588720 -1035320 -1733732 -2786420 -4324320 | -| 153 | SchroederP:Inv:Rev | Poly | A257565 | 1 1 1 1 -1 1 1 1 -3 1 1 -1 13 -5 1 1 1 -111 37 -7 1 1 -1 2001 -521 73 -9 1 1 1 -62883 14521 -1423 | -| 154 | SchroederP:Inv:Rev | PolyRow1 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | -| 155 | SchroederP:Inv:Rev | PolyRow2 | A003154 | 1 1 13 37 73 121 181 253 337 433 541 661 793 937 1093 1261 1441 1633 1837 2053 2281 2521 2773 3037 | -| 156 | SchroederP:Inv:Rev | PolyRow3 | missing | 1 -1 -111 -521 -1423 -3009 -5471 -9001 -13791 -20033 -27919 -37641 -49391 -63361 -79743 -98729 | -| 157 | SchroederP:Inv:Rev | PolyCol2 | missing | 1 -3 13 -111 2001 -62883 2964109 -193594719 16680002593 -1830409796163 249050983487373 | -| 158 | SchroederP:Inv:Rev | PolyCol3 | missing | 1 -5 37 -521 14521 -687725 48650365 -4766500625 616022291665 -101400558093845 20695294322230837 | -| 159 | SchroederP:Inv:Rev | PolyDiag | missing | 1 -1 13 -521 53521 -11276649 4200148261 -2517569677489 2273815711683265 -2945117481084267857 | \ No newline at end of file +| 41 | SchroederP:Alt | Triangle | A104684 | 1 2 -1 6 -6 1 20 -30 12 -1 70 -140 90 -20 1 252 -630 560 -210 30 -1 924 -2772 3150 -1680 420 -42 1 | +| 42 | SchroederP:Alt | Rev | A063007 | 1 -1 2 1 -6 6 -1 12 -30 20 1 -20 90 -140 70 -1 30 -210 560 -630 252 1 -42 420 -1680 3150 -2772 924 | +| 43 | SchroederP:Alt | Inv | missing | 1 -2 1 -18 6 1 136 -42 -12 1 3990 -1240 -330 20 1 -82572 25650 6820 -390 -30 1 -4865112 1511412 | +| 44 | SchroederP:Alt | RevInv | missing | 1 1 -2 1 6 -18 1 -12 -42 136 1 20 -330 -1240 3990 1 -30 -390 6820 25650 -82572 1 42 -1680 -23100 | +| 45 | SchroederP:Alt | Acc | missing | 1 2 1 6 0 1 20 -10 2 1 70 -70 20 0 1 252 -378 182 -28 2 1 924 -1848 1302 -378 42 0 1 3432 -8580 | +| 46 | SchroederP:Alt | AccRev | missing | 1 -1 1 1 -5 1 -1 11 -19 1 1 -19 71 -69 1 -1 29 -181 379 -251 1 1 -41 379 -1301 1849 -923 1 -1 55 | +| 47 | SchroederP:Alt | AntiDiag | missing | 1 2 6 -1 20 -6 70 -30 1 252 -140 12 924 -630 90 -1 3432 -2772 560 -20 12870 -12012 3150 -210 1 | +| 48 | SchroederP:Alt | Diffx1 | missing | 1 2 -2 6 -12 3 20 -60 36 -4 70 -280 270 -80 5 252 -1260 1680 -840 150 -6 924 -5544 9450 -6720 2100 | +| 49 | SchroederP:Alt | EvenSum | A226994 | 1 2 7 32 161 842 4495 24320 132865 731282 4048727 22523360 125797985 704966810 3961924127 | +| 50 | SchroederP:Alt | OddSum | A047665 | 0 -1 -6 -31 -160 -841 -4494 -24319 -132864 -731281 -4048726 -22523359 -125797984 -704966809 | +| 51 | SchroederP:Alt | AltSum | A001850 | 1 3 13 63 321 1683 8989 48639 265729 1462563 8097453 45046719 251595969 1409933619 7923848253 | +| 52 | SchroederP:Alt | DiagSum | A108626 | 1 2 5 14 41 124 383 1200 3799 12122 38919 125578 406865 1322772 4313155 14099524 46192483 151628090 | +| 53 | SchroederP:Alt | AccSum | A247890 | 1 3 7 13 21 31 43 57 73 91 111 133 157 183 211 241 273 307 343 381 421 463 507 553 601 651 703 757 | +| 54 | SchroederP:Alt | AccRevSum | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | +| 55 | SchroederP:Alt | RowLcm | missing | 1 2 6 60 1260 5040 277200 5405400 12612600 343062720 58663725120 48886437600 12368268712800 | +| 56 | SchroederP:Alt | RowGcd | missing | 1 2 6 2 10 2 42 2 6 2 22 2 26 2 2 2 34 2 114 2 30 2 46 2 30 2 6 2 58 2 62 2 | +| 57 | SchroederP:Alt | RowMax | missing | 1 2 6 30 140 630 3150 16632 84084 420420 2333760 12471030 64664600 355655300 1963217256 10546208400 | +| 58 | SchroederP:Alt | ColMiddle | missing | 1 2 -6 -30 90 560 -1680 -11550 34650 252252 -756756 -5717712 17153136 133024320 -399072960 | +| 59 | SchroederP:Alt | CentralE | A006480 | 1 -6 90 -1680 34650 -756756 17153136 -399072960 9465511770 -227873431500 5550996791340 | +| 60 | SchroederP:Alt | CentralO | B208881 | 2 -30 560 -11550 252252 -5717712 133024320 -3155170590 75957810500 -1850332263780 45508998487680 | +| 61 | SchroederP:Alt | ColLeft | A000984 | 1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 40116600 155117520 601080390 | +| 62 | SchroederP:Alt | BinConv | missing | 1 1 -5 -35 -29 751 3991 -4115 -137885 -495269 2114245 25786795 50109775 -627370925 -4643568305 | +| 63 | SchroederP:Alt | InvBinConv | A005258 | 1 -3 19 -147 1251 -11253 104959 -1004307 9793891 -96918753 970336269 -9807518757 99912156111 | +| 64 | SchroederP:Alt | TransNat0 | A000290 | 0 -1 -4 -9 -16 -25 -36 -49 -64 -81 -100 -121 -144 -169 -196 -225 -256 -289 -324 -361 -400 -441 -484 | +| 65 | SchroederP:Alt | TransNat1 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | +| 66 | SchroederP:Alt | TransSqrs | missing | 0 -1 -2 9 56 175 414 833 1504 2511 3950 5929 8568 11999 16366 21825 28544 36703 46494 58121 71800 | +| 67 | SchroederP:Alt | PosHalf | A001850 | 1 3 13 63 321 1683 8989 48639 265729 1462563 8097453 45046719 251595969 1409933619 7923848253 | +| 68 | SchroederP:Alt | NegHalf | A006442 | 1 -5 37 -305 2641 -23525 213445 -1961825 18205345 -170195525 1600472677 -15122515985 143457011569 | +| 69 | SchroederP:Alt | DiagRow1 | B002378 | 2 -6 12 -20 30 -42 56 -72 90 -110 132 -156 182 -210 240 -272 306 -342 380 -420 462 -506 552 -600 | +| 70 | SchroederP:Alt | DiagRow2 | B033487 | 6 -30 90 -210 420 -756 1260 -1980 2970 -4290 6006 -8190 10920 -14280 18360 -23256 29070 -35910 | +| 71 | SchroederP:Alt | DiagRow3 | A105939 | 20 -140 560 -1680 4200 -9240 18480 -34320 60060 -100100 160160 -247520 371280 -542640 775200 | +| 72 | SchroederP:Alt | DiagCol1 | A002457 | -1 -6 -30 -140 -630 -2772 -12012 -51480 -218790 -923780 -3879876 -16224936 -67603900 -280816200 | +| 73 | SchroederP:Alt | DiagCol2 | A002544 | 1 12 90 560 3150 16632 84084 411840 1969110 9237800 42678636 194699232 878850700 3931426800 | +| 74 | SchroederP:Alt | DiagCol3 | A007744 | -1 -20 -210 -1680 -11550 -72072 -420420 -2333760 -12471030 -64664600 -327202876 -1622493600 | +| 75 | SchroederP:Alt | Poly | missing | 1 2 1 6 1 1 20 1 0 1 70 1 -2 -1 1 252 1 0 -3 -2 1 924 1 6 11 -2 -3 1 3432 1 0 1 28 1 -4 1 12870 1 | +| 76 | SchroederP:Alt | PolyRow1 | A022958 | 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 | +| 77 | SchroederP:Alt | PolyRow2 | missing | 6 1 -2 -3 -2 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 | +| 78 | SchroederP:Alt | PolyRow3 | missing | 20 1 0 11 28 45 56 55 36 -7 -80 -189 -340 -539 -792 -1105 -1484 -1935 -2464 -3077 -3780 -4579 -5480 | +| 79 | SchroederP:Alt | PolyCol2 | A126869 | 1 0 -2 0 6 0 -20 0 70 0 -252 0 924 0 -3432 0 12870 0 -48620 0 184756 0 -705432 0 2704156 0 | +| 80 | SchroederP:Alt | PolyCol3 | A098332 | 1 -1 -3 11 1 -81 141 363 -1791 479 13597 -29877 -54911 353807 -223443 -2539989 6806529 8302527 | +| 81 | SchroederP:Alt | PolyDiag | A335310 | 1 1 -2 11 -74 477 -804 -84425 3315334 -102211207 3005297956 -88338323709 2627003399164 | +| 82 | SchroederP:Rev | Triangle | A063007 | 1 1 2 1 6 6 1 12 30 20 1 20 90 140 70 1 30 210 560 630 252 1 42 420 1680 3150 2772 924 1 56 756 | +| 83 | SchroederP:Rev | InvRev | missing | 1 -2 1 6 -6 1 -32 42 -12 1 310 -440 150 -20 1 -4932 7110 -2540 390 -30 1 116424 -168252 60690 -9660 | +| 84 | SchroederP:Rev | Acc | missing | 1 1 3 1 7 13 1 13 43 63 1 21 111 251 321 1 31 241 801 1431 1683 1 43 463 2143 5293 8065 8989 1 57 | +| 85 | SchroederP:Rev | AccRev | missing | 1 2 3 6 12 13 20 50 62 63 70 210 300 320 321 252 882 1442 1652 1682 1683 924 3696 6846 8526 8946 | +| 86 | SchroederP:Rev | AntiDiag | missing | 1 1 1 2 1 6 1 12 6 1 20 30 1 30 90 20 1 42 210 140 1 56 420 560 70 1 72 756 1680 630 1 90 1260 4200 | +| 87 | SchroederP:Rev | Diffx1 | missing | 1 1 4 1 12 18 1 24 90 80 1 40 270 560 350 1 60 630 2240 3150 1512 1 84 1260 6720 15750 16632 6468 1 | +| 88 | SchroederP:Rev | RowSum | A001850 | 1 3 13 63 321 1683 8989 48639 265729 1462563 8097453 45046719 251595969 1409933619 7923848253 | +| 89 | SchroederP:Rev | EvenSum | missing | 1 1 7 31 161 841 4495 24319 132865 731281 4048727 22523359 125797985 704966809 3961924127 | +| 90 | SchroederP:Rev | OddSum | missing | 0 2 6 32 160 842 4494 24320 132864 731282 4048726 22523360 125797984 704966810 3961924126 | +| 91 | SchroederP:Rev | DiagSum | A002426 | 1 1 3 7 19 51 141 393 1107 3139 8953 25653 73789 212941 616227 1787607 5196627 15134931 44152809 | +| 92 | SchroederP:Rev | AccSum | missing | 1 4 21 120 705 4188 24997 149488 894465 5351220 31997493 191193192 1141524033 6809904780 | +| 93 | SchroederP:Rev | AccRevSum | missing | 1 5 31 195 1221 7593 46915 288263 1762825 10736973 65171943 394414155 2380819533 14339099505 | +| 94 | SchroederP:Rev | RowLcm | missing | 1 2 6 60 1260 5040 277200 5405400 12612600 343062720 58663725120 48886437600 12368268712800 | +| 95 | SchroederP:Rev | RowGcd | missing | 1 2 6 2 10 2 42 2 6 2 22 2 26 2 2 2 34 2 114 2 30 2 46 2 30 2 6 2 58 2 62 2 | +| 96 | SchroederP:Rev | RowMax | missing | 1 2 6 30 140 630 3150 16632 84084 420420 2333760 12471030 64664600 355655300 1963217256 10546208400 | +| 97 | SchroederP:Rev | ColMiddle | missing | 1 1 6 12 90 210 1680 4200 34650 90090 756756 2018016 17153136 46558512 399072960 1097450640 | +| 98 | SchroederP:Rev | CentralE | A006480 | 1 6 90 1680 34650 756756 17153136 399072960 9465511770 227873431500 5550996791340 136526995463040 | +| 99 | SchroederP:Rev | CentralO | missing | 1 12 210 4200 90090 2018016 46558512 1097450640 26293088250 638045608200 15643718230140 | +| 100 | SchroederP:Rev | ColRight | A000984 | 1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 10400600 40116600 155117520 601080390 | +| 101 | SchroederP:Rev | BinConv | A005258 | 1 3 19 147 1251 11253 104959 1004307 9793891 96918753 970336269 9807518757 99912156111 | +| 102 | SchroederP:Rev | InvBinConv | missing | 1 1 -5 -35 -29 751 3991 -4115 -137885 -495269 2114245 25786795 50109775 -627370925 -4643568305 | +| 103 | SchroederP:Rev | TransNat0 | missing | 0 2 18 132 900 5910 37926 239624 1497096 9274410 57074490 349367436 2129223564 12929165886 | +| 104 | SchroederP:Rev | TransNat1 | missing | 1 5 31 195 1221 7593 46915 288263 1762825 10736973 65171943 394414155 2380819533 14339099505 | +| 105 | SchroederP:Rev | TransSqrs | missing | 0 2 30 312 2760 22290 169806 1242080 8817696 61178130 416822670 2798399736 18559873800 121839376386 | +| 106 | SchroederP:Rev | PosHalf | A069835 | 1 4 22 136 886 5944 40636 281488 1968934 13875544 98365972 700701808 5011371964 35961808432 | +| 107 | SchroederP:Rev | NegHalf | A126869 | 1 0 -2 0 6 0 -20 0 70 0 -252 0 924 0 -3432 0 12870 0 -48620 0 184756 0 -705432 0 2704156 0 | +| 108 | SchroederP:Rev | DiagRow1 | A002457 | 1 6 30 140 630 2772 12012 51480 218790 923780 3879876 16224936 67603900 280816200 1163381400 | +| 109 | SchroederP:Rev | DiagRow2 | A002544 | 1 12 90 560 3150 16632 84084 411840 1969110 9237800 42678636 194699232 878850700 3931426800 | +| 110 | SchroederP:Rev | DiagRow3 | A007744 | 1 20 210 1680 11550 72072 420420 2333760 12471030 64664600 327202876 1622493600 7909656300 | +| 111 | SchroederP:Rev | DiagCol1 | B002378 | 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | +| 112 | SchroederP:Rev | DiagCol2 | B033487 | 6 30 90 210 420 756 1260 1980 2970 4290 6006 8190 10920 14280 18360 23256 29070 35910 43890 53130 | +| 113 | SchroederP:Rev | DiagCol3 | A105939 | 20 140 560 1680 4200 9240 18480 34320 60060 100100 160160 247520 371280 542640 775200 1085280 | +| 114 | SchroederP:Rev | Poly | missing | 1 1 1 1 3 1 1 13 5 1 1 63 37 7 1 1 321 305 73 9 1 1 1683 2641 847 121 11 1 1 8989 23525 10321 1809 | +| 115 | SchroederP:Rev | PolyRow1 | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | +| 116 | SchroederP:Rev | PolyRow2 | A003154 | 1 13 37 73 121 181 253 337 433 541 661 793 937 1093 1261 1441 1633 1837 2053 2281 2521 2773 3037 | +| 117 | SchroederP:Rev | PolyRow3 | A160674 | 1 63 305 847 1809 3311 5473 8415 12257 17119 23121 30383 39025 49167 60929 74431 89793 107135 | +| 118 | SchroederP:Rev | PolyCol2 | A006442 | 1 5 37 305 2641 23525 213445 1961825 18205345 170195525 1600472677 15122515985 143457011569 | +| 119 | SchroederP:Rev | PolyCol3 | A084768 | 1 7 73 847 10321 129367 1651609 21360031 278905249 3668760487 48543499753 645382441711 | +| 120 | SchroederP:Rev | PolyDiag | A331656 | 1 3 37 847 28401 1256651 69125869 4548342975 348434664769 30463322582899 2993348092318101 | +| 121 | SchroederP:Inv | Triangle | missing | 1 -2 1 6 -6 1 -32 42 -12 1 310 -440 150 -20 1 -4932 7110 -2540 390 -30 1 116424 -168252 60690 -9660 | +| 122 | SchroederP:Inv | Rev | missing | 1 1 -2 1 -6 6 1 -12 42 -32 1 -20 150 -440 310 1 -30 390 -2540 7110 -4932 1 -42 840 -9660 60690 | +| 123 | SchroederP:Inv | RevInv | A063007 | 1 1 2 1 6 6 1 12 30 20 1 20 90 140 70 1 30 210 560 630 252 1 42 420 1680 3150 2772 924 1 56 756 | +| 124 | SchroederP:Inv | Acc | missing | 1 -2 -1 6 0 1 -32 10 -2 -1 310 -130 20 0 1 -4932 2178 -362 28 -2 -1 116424 -51828 8862 -798 42 0 1 | +| 125 | SchroederP:Inv | AccRev | missing | 1 1 -1 1 -5 1 1 -11 31 -1 1 -19 131 -309 1 1 -29 361 -2179 4931 -1 1 -41 799 -8861 51829 -116423 1 | +| 126 | SchroederP:Inv | AntiDiag | missing | 1 -2 6 1 -32 -6 310 42 1 -4932 -440 -12 116424 7110 150 1 -3802752 -168252 -2540 -20 163825974 | +| 127 | SchroederP:Inv | Diffx1 | missing | 1 -2 2 6 -12 3 -32 84 -36 4 310 -880 450 -80 5 -4932 14220 -7620 1560 -150 6 116424 -336504 182070 | +| 128 | SchroederP:Inv | EvenSum | missing | 1 -2 7 -44 461 -7502 177955 -5817800 250675801 -13754614922 935751981407 -77267496160340 | +| 129 | SchroederP:Inv | OddSum | missing | 0 1 -6 43 -460 7501 -177954 5817799 -250675800 13754614921 -935751981406 77267496160339 | +| 130 | SchroederP:Inv | AltSum | missing | 1 -3 13 -87 921 -15003 355909 -11635599 501351601 -27509229843 1871503962813 -154534992320679 | +| 131 | SchroederP:Inv | DiagSum | missing | 1 -2 7 -38 353 -5384 123685 -3973564 169384687 -9227759606 624611157821 -51384379710446 | +| 132 | SchroederP:Inv | AccSum | missing | 1 -3 7 -25 201 -3091 72703 -2373897 102265705 -5611148011 381734646591 -31520799931633 | +| 133 | SchroederP:Inv | AccRevSum | missing | 1 0 -3 20 -195 3084 -72695 2373888 -102265695 5611148000 -381734646579 31520799931620 | +| 134 | SchroederP:Inv | RowLcm | missing | 1 2 6 672 204600 3216379140 7750311334920 131426737497966879360 54722432423401919925487384726080 | +| 135 | SchroederP:Inv | RowGcd | missing | 1 2 6 2 10 2 42 2 6 2 22 2 26 2 2 2 34 2 114 2 30 2 46 2 30 2 6 2 58 2 62 2 | +| 136 | SchroederP:Inv | RowMax | missing | 1 2 6 42 440 7110 168252 5497632 236856384 12996105750 884146372340 73006244474196 7190633348844816 | +| 137 | SchroederP:Inv | ColMiddle | missing | 1 -2 -6 42 150 -2540 -9660 318570 1240470 -68166252 -268199316 22151452092 87622410876 | +| 138 | SchroederP:Inv | CentralE | missing | 1 -6 150 -9660 1240470 -268199316 87622410876 -40261266559800 24737671557915030 | +| 139 | SchroederP:Inv | CentralO | missing | -2 42 -2540 318570 -68166252 22151452092 -10146680307192 6222162826878570 -4918371152543308460 | +| 140 | SchroederP:Inv | ColLeft | missing | 1 -2 6 -32 310 -4932 116424 -3802752 163825974 -8988907100 611529126076 -50495522176992 | +| 141 | SchroederP:Inv | BinConv | missing | 1 -1 -5 59 -629 8969 -163589 3149075 -21014069 -5852034211 899181599845 -115896134963995 | +| 142 | SchroederP:Inv | InvBinConv | missing | 1 3 19 195 3051 69933 2242339 96184707 5316455755 367541743353 31038259817709 3141413180151117 | +| 143 | SchroederP:Inv | TransNat0 | missing | 0 1 -4 21 -196 3085 -72696 2373889 -102265696 5611148001 -381734646580 31520799931621 | +| 144 | SchroederP:Inv | TransNat1 | missing | 1 0 -3 20 -195 3084 -72695 2373888 -102265695 5611148000 -381734646579 31520799931620 | +| 145 | SchroederP:Inv | TransSqrs | A001477 | 0 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 | +| 146 | SchroederP:Inv | PosHalf | missing | 1 -3 13 -111 2001 -62883 2964109 -193594719 16680002593 -1830409796163 249050983487373 | +| 147 | SchroederP:Inv | NegHalf | missing | 1 5 37 449 9121 293525 13886965 907498625 78196256065 8581126634405 1167576334672837 | +| 148 | SchroederP:Inv | DiagRow1 | B002378 | -2 -6 -12 -20 -30 -42 -56 -72 -90 -110 -132 -156 -182 -210 -240 -272 -306 -342 -380 -420 -462 -506 | +| 149 | SchroederP:Inv | DiagRow2 | missing | 6 42 150 390 840 1596 2772 4500 6930 10230 14586 20202 27300 36120 46920 59976 75582 94050 115710 | +| 150 | SchroederP:Inv | DiagRow3 | missing | -32 -440 -2540 -9660 -28560 -71232 -157080 -315480 -588720 -1035320 -1733732 -2786420 -4324320 | +| 151 | SchroederP:Inv | DiagCol1 | missing | 1 -6 42 -440 7110 -168252 5497632 -236856384 12996105750 -884146372340 73006244474196 | +| 152 | SchroederP:Inv | DiagCol2 | missing | 1 -12 150 -2540 60690 -1986432 85606584 -4697384400 319573375110 -26388034855160 2599047970783836 | +| 153 | SchroederP:Inv | DiagCol3 | missing | 1 -20 390 -9660 318570 -13748112 754567800 -51337094160 4239074011590 -417521481514280 | +| 154 | SchroederP:Inv | Poly | missing | 1 -2 1 6 -1 1 -32 1 0 1 310 -1 -2 1 1 -4932 1 12 -3 2 1 116424 -1 -114 13 -2 3 1 -3802752 1 1800 | +| 155 | SchroederP:Inv | PolyRow1 | A022958 | -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | +| 156 | SchroederP:Inv | PolyRow2 | missing | 6 1 -2 -3 -2 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 | +| 157 | SchroederP:Inv | PolyRow3 | missing | -32 -1 12 13 8 3 4 17 48 103 188 309 472 683 948 1273 1664 2127 2668 3293 4008 4819 5732 6753 7888 | +| 158 | SchroederP:Inv | PolyCol2 | missing | 1 0 -2 12 -114 1800 -42440 1386000 -59708810 3276129360 -222879971412 18403766756760 | +| 159 | SchroederP:Inv | PolyCol3 | missing | 1 1 -3 13 -119 1881 -44379 1449477 -62444367 3426233521 -233091877523 19246991221437 | +| 160 | SchroederP:Inv | PolyDiag | missing | 1 -1 -2 13 -74 243 13896 -898375 48043318 -2644884473 153403353676 -8950893339291 436954169955304 | +| 161 | SchroederP:Inv:Rev | Triangle | missing | 1 1 -2 1 -6 6 1 -12 42 -32 1 -20 150 -440 310 1 -30 390 -2540 7110 -4932 1 -42 840 -9660 60690 | +| 162 | SchroederP:Inv:Rev | Rev | missing | 1 -2 1 6 -6 1 -32 42 -12 1 310 -440 150 -20 1 -4932 7110 -2540 390 -30 1 116424 -168252 60690 -9660 | +| 163 | SchroederP:Inv:Rev | InvRev | A104684 | 1 2 1 6 6 1 20 30 12 1 70 140 90 20 1 252 630 560 210 30 1 924 2772 3150 1680 420 42 1 3432 12012 | +| 164 | SchroederP:Inv:Rev | Acc | missing | 1 1 -1 1 -5 1 1 -11 31 -1 1 -19 131 -309 1 1 -29 361 -2179 4931 -1 1 -41 799 -8861 51829 -116423 1 | +| 165 | SchroederP:Inv:Rev | AccRev | missing | 1 -2 -1 6 0 1 -32 10 -2 -1 310 -130 20 0 1 -4932 2178 -362 28 -2 -1 116424 -51828 8862 -798 42 0 1 | +| 166 | SchroederP:Inv:Rev | AntiDiag | missing | 1 1 1 -2 1 -6 1 -12 6 1 -20 42 1 -30 150 -32 1 -42 390 -440 1 -56 840 -2540 310 1 -72 1596 -9660 | +| 167 | SchroederP:Inv:Rev | Diffx1 | missing | 1 1 -4 1 -12 18 1 -24 126 -128 1 -40 450 -1760 1550 1 -60 1170 -10160 35550 -29592 1 -84 2520 | +| 168 | SchroederP:Inv:Rev | EvenSum | missing | 1 1 7 43 461 7501 177955 5817799 250675801 13754614921 935751981407 77267496160339 7610339286733925 | +| 169 | SchroederP:Inv:Rev | OddSum | missing | 0 -2 -6 -44 -460 -7502 -177954 -5817800 -250675800 -13754614922 -935751981406 -77267496160340 | +| 170 | SchroederP:Inv:Rev | AltSum | missing | 1 3 13 87 921 15003 355909 11635599 501351601 27509229843 1871503962813 154534992320679 | +| 171 | SchroederP:Inv:Rev | DiagSum | missing | 1 1 -1 -5 -5 23 89 -91 -1445 -1025 29881 83477 -779819 -4619015 23820935 274709003 -727641013 | +| 172 | SchroederP:Inv:Rev | AccSum | missing | 1 0 -3 20 -195 3084 -72695 2373888 -102265695 5611148000 -381734646579 31520799931620 | +| 173 | SchroederP:Inv:Rev | AccRevSum | missing | 1 -3 7 -25 201 -3091 72703 -2373897 102265705 -5611148011 381734646591 -31520799931633 | +| 174 | SchroederP:Inv:Rev | RowLcm | missing | 1 2 6 672 204600 3216379140 7750311334920 131426737497966879360 54722432423401919925487384726080 | +| 175 | SchroederP:Inv:Rev | RowGcd | missing | 1 2 6 2 10 2 42 2 6 2 22 2 26 2 2 2 34 2 114 2 30 2 46 2 30 2 6 2 58 2 62 2 | +| 176 | SchroederP:Inv:Rev | RowMax | missing | 1 2 6 42 440 7110 168252 5497632 236856384 12996105750 884146372340 73006244474196 7190633348844816 | +| 177 | SchroederP:Inv:Rev | ColMiddle | missing | 1 1 -6 -12 150 390 -9660 -28560 1240470 3936870 -268199316 -889418376 87622410876 299376289212 | +| 178 | SchroederP:Inv:Rev | CentralE | missing | 1 -6 150 -9660 1240470 -268199316 87622410876 -40261266559800 24737671557915030 | +| 179 | SchroederP:Inv:Rev | CentralO | missing | 1 -12 390 -28560 3936870 -889418376 299376289212 -140561186800320 87789560955898230 | +| 180 | SchroederP:Inv:Rev | ColRight | missing | 1 -2 6 -32 310 -4932 116424 -3802752 163825974 -8988907100 611529126076 -50495522176992 | +| 181 | SchroederP:Inv:Rev | BinConv | missing | 1 -1 -5 59 -629 8969 -163589 3149075 -21014069 -5852034211 899181599845 -115896134963995 | +| 182 | SchroederP:Inv:Rev | InvBinConv | missing | 1 -3 19 -195 3051 -69933 2242339 -96184707 5316455755 -367541743353 31038259817709 | +| 183 | SchroederP:Inv:Rev | TransNat0 | missing | 0 -2 6 -24 200 -3090 72702 -2373896 102265704 -5611148010 381734646590 -31520799931632 | +| 184 | SchroederP:Inv:Rev | TransNat1 | missing | 1 -3 7 -25 201 -3091 72703 -2373897 102265705 -5611148011 381734646591 -31520799931633 | +| 185 | SchroederP:Inv:Rev | TransSqrs | missing | 0 -2 18 -132 1580 -30870 872382 -33234488 1636251192 -101000664090 7634692931690 -693457598495772 | +| 186 | SchroederP:Inv:Rev | PosHalf | missing | 1 0 -2 12 -114 1800 -42440 1386000 -59708810 3276129360 -222879971412 18403766756760 | +| 187 | SchroederP:Inv:Rev | NegHalf | missing | 1 -4 22 -172 1966 -32944 787816 -25804048 1112263798 -61034491144 4152344656252 -342870809069848 | +| 188 | SchroederP:Inv:Rev | DiagRow1 | missing | 1 -6 42 -440 7110 -168252 5497632 -236856384 12996105750 -884146372340 73006244474196 | +| 189 | SchroederP:Inv:Rev | DiagRow2 | missing | 1 -12 150 -2540 60690 -1986432 85606584 -4697384400 319573375110 -26388034855160 2599047970783836 | +| 190 | SchroederP:Inv:Rev | DiagRow3 | missing | 1 -20 390 -9660 318570 -13748112 754567800 -51337094160 4239074011590 -417521481514280 | +| 191 | SchroederP:Inv:Rev | DiagCol1 | B002378 | -2 -6 -12 -20 -30 -42 -56 -72 -90 -110 -132 -156 -182 -210 -240 -272 -306 -342 -380 -420 -462 -506 | +| 192 | SchroederP:Inv:Rev | DiagCol2 | missing | 6 42 150 390 840 1596 2772 4500 6930 10230 14586 20202 27300 36120 46920 59976 75582 94050 115710 | +| 193 | SchroederP:Inv:Rev | DiagCol3 | missing | -32 -440 -2540 -9660 -28560 -71232 -157080 -315480 -588720 -1035320 -1733732 -2786420 -4324320 | +| 194 | SchroederP:Inv:Rev | Poly | A257565 | 1 1 1 1 -1 1 1 1 -3 1 1 -1 13 -5 1 1 1 -111 37 -7 1 1 -1 2001 -521 73 -9 1 1 1 -62883 14521 -1423 | +| 195 | SchroederP:Inv:Rev | PolyRow1 | A060747 | 1 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | +| 196 | SchroederP:Inv:Rev | PolyRow2 | A003154 | 1 1 13 37 73 121 181 253 337 433 541 661 793 937 1093 1261 1441 1633 1837 2053 2281 2521 2773 3037 | +| 197 | SchroederP:Inv:Rev | PolyRow3 | missing | 1 -1 -111 -521 -1423 -3009 -5471 -9001 -13791 -20033 -27919 -37641 -49391 -63361 -79743 -98729 | +| 198 | SchroederP:Inv:Rev | PolyCol2 | missing | 1 -3 13 -111 2001 -62883 2964109 -193594719 16680002593 -1830409796163 249050983487373 | +| 199 | SchroederP:Inv:Rev | PolyCol3 | missing | 1 -5 37 -521 14521 -687725 48650365 -4766500625 616022291665 -101400558093845 20695294322230837 | +| 200 | SchroederP:Inv:Rev | PolyDiag | missing | 1 -1 13 -521 53521 -11276649 4200148261 -2517569677489 2273815711683265 -2945117481084267857 | \ No newline at end of file diff --git a/data/md/Seidel.md b/data/md/Seidel.md index 84cd2be..c4d7eb4 100644 --- a/data/md/Seidel.md +++ b/data/md/Seidel.md @@ -1,78 +1,117 @@ -| | triangle | trait | anum | seq | -|---:|:-----------|:----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | Seidel:Std | Triangle | A008281 | 1 0 1 0 1 1 0 1 2 2 0 2 4 5 5 0 5 10 14 16 16 0 16 32 46 56 61 61 0 61 122 178 224 256 272 272 0 | -| 1 | Seidel:Std | Rev | missing | 1 1 0 1 1 0 2 2 1 0 5 5 4 2 0 16 16 14 10 5 0 61 61 56 46 32 16 0 272 272 256 224 178 122 61 0 1385 | -| 2 | Seidel:Std | Acc | missing | 1 0 1 0 1 2 0 1 3 5 0 2 6 11 16 0 5 15 29 45 61 0 16 48 94 150 211 272 0 61 183 361 585 841 1113 | -| 3 | Seidel:Std | AccRev | A008282 | 1 1 1 1 2 2 2 4 5 5 5 10 14 16 16 16 32 46 56 61 61 61 122 178 224 256 272 272 272 544 800 1024 | -| 4 | Seidel:Std | AntiDiag | missing | 1 0 0 1 0 1 0 1 1 0 2 2 0 5 4 2 0 16 10 5 0 61 32 14 5 0 272 122 46 16 0 1385 544 178 56 16 0 7936 | -| 5 | Seidel:Std | Diffx1 | missing | 1 0 2 0 2 3 0 2 6 8 0 4 12 20 25 0 10 30 56 80 96 0 32 96 184 280 366 427 0 122 366 712 1120 1536 | -| 6 | Seidel:Std | RowSum | B000111 | 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | -| 7 | Seidel:Std | EvenSum | missing | 1 0 1 2 9 26 149 618 4277 23122 188457 1257154 11812705 93774138 998765725 9196373210 109530858093 | -| 8 | Seidel:Std | OddSum | missing | 0 1 1 3 7 35 123 767 3659 27399 165335 1445611 10555551 105586843 904991587 10195138935 | -| 9 | Seidel:Std | AltSum | missing | 1 -1 0 -1 2 -9 26 -149 618 -4277 23122 -188457 1257154 -11812705 93774138 -998765725 9196373210 | -| 10 | Seidel:Std | DiagSum | missing | 1 0 1 1 2 4 11 31 112 456 2179 11791 71828 485140 3599099 29069251 253828828 2381859192 23897803987 | -| 11 | Seidel:Std | AccSum | B034428 | 1 1 3 9 35 155 791 4529 28839 201939 1542739 12767689 113794603 1086657403 11068604847 119790363489 | -| 12 | Seidel:Std | AccRevSum | B000111 | 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | -| 13 | Seidel:Std | RowLcm | missing | 1 1 1 2 20 560 314272 165389056 23981211622400 281812254093464320 122801591138088344632211198464 | -| 14 | Seidel:Std | RowGcd | A078315 | 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 15 | Seidel:Std | RowMax | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | -| 16 | Seidel:Std | ColMiddle | missing | 1 0 1 1 4 10 46 178 1024 5296 36976 238816 1965664 15214480 144361456 1301989648 13997185024 | -| 17 | Seidel:Std | CentralE | A000657 | 1 1 4 46 1024 36976 1965664 144361456 13997185024 1731678144256 266182076161024 49763143319190016 | -| 18 | Seidel:Std | CentralO | A240561 | 0 1 10 178 5296 238816 15214480 1301989648 144118832896 20040052293376 3419989086092800 | -| 19 | Seidel:Std | ColRight | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | -| 20 | Seidel:Std | BinConv | A001586 | 1 1 3 11 57 361 2763 24611 250737 2873041 36581523 512343611 7828053417 129570724921 2309644635483 | -| 21 | Seidel:Std | TransNat0 | missing | 0 1 3 11 45 211 1113 6551 42585 303271 2348973 19665491 176992725 1704396331 17487754833 | -| 22 | Seidel:Std | TransNat1 | B000111 | 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | -| 23 | Seidel:Std | TransSqrs | missing | 0 1 5 27 143 827 5175 35255 260251 2074623 17780875 163187203 1597600119 16625298739 183309947855 | -| 24 | Seidel:Std | PosHalf | missing | 1 1 3 10 47 264 1799 14288 130683 1353152 15679675 201167616 2832842599 43455063040 721432281231 | -| 25 | Seidel:Std | NegHalf | missing | 1 1 -1 2 -5 40 -205 1808 -14921 159424 -1782409 23039744 -320336237 4917449728 -81231509413 | -| 26 | Seidel:Std | DiagRow1 | B000111 | 0 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | -| 27 | Seidel:Std | DiagRow2 | A006212 | 0 1 4 14 56 256 1324 7664 49136 345856 2652244 22014464 196658216 1881389056 19192151164 | -| 28 | Seidel:Std | DiagRow3 | A006213 | 0 2 10 46 224 1202 7120 46366 329984 2551202 21306880 191252686 1836652544 18793429202 204154071040 | -| 29 | Seidel:Std | DiagCol1 | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | -| 30 | Seidel:Std | DiagCol2 | B001250 | 1 2 4 10 32 122 544 2770 15872 101042 707584 5405530 44736512 398721962 3807514624 38783024290 | -| 31 | Seidel:Std | DiagCol3 | A006216 | 2 5 14 46 178 800 4094 23536 150178 1053440 8057774 66750976 595380178 5688903680 57975175454 | -| 32 | Seidel:Std | Poly | A067347 | 1 0 1 0 1 1 0 2 2 1 0 5 6 3 1 0 16 26 12 4 1 0 61 140 75 20 5 1 0 272 930 582 164 30 6 1 0 1385 | -| 33 | Seidel:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 34 | Seidel:Std | PolyRow2 | A002378 | 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | -| 35 | Seidel:Std | PolyRow3 | A048395 | 0 5 26 75 164 305 510 791 1160 1629 2210 2915 3756 4745 5894 7215 8720 10421 12330 14459 16820 | -| 36 | Seidel:Std | PolyCol2 | missing | 1 2 6 26 140 930 7280 66034 680544 7865098 100760704 1417772682 21738715648 360815821106 | -| 37 | Seidel:Std | PolyCol3 | missing | 1 3 12 75 582 5667 65406 879591 13483518 232328391 4444489830 93487086147 2144540364774 | -| 38 | Seidel:Std | PolyDiag | missing | 1 1 6 75 1672 62025 3404112 260912099 26532106368 3457039470993 561154561362560 111010187189605275 | -| 39 | Seidel:Rev | Triangle | missing | 1 1 0 1 1 0 2 2 1 0 5 5 4 2 0 16 16 14 10 5 0 61 61 56 46 32 16 0 272 272 256 224 178 122 61 0 1385 | -| 40 | Seidel:Rev | Acc | A008282 | 1 1 1 1 2 2 2 4 5 5 5 10 14 16 16 16 32 46 56 61 61 61 122 178 224 256 272 272 272 544 800 1024 | -| 41 | Seidel:Rev | AccRev | missing | 1 0 1 0 1 2 0 1 3 5 0 2 6 11 16 0 5 15 29 45 61 0 16 48 94 150 211 272 0 61 183 361 585 841 1113 | -| 42 | Seidel:Rev | AntiDiag | missing | 1 1 1 0 2 1 5 2 0 16 5 1 61 16 4 0 272 61 14 2 1385 272 56 10 0 7936 1385 256 46 5 50521 7936 1324 | -| 43 | Seidel:Rev | Diffx1 | missing | 1 1 0 1 2 0 2 4 3 0 5 10 12 8 0 16 32 42 40 25 0 61 122 168 184 160 96 0 272 544 768 896 890 732 | -| 44 | Seidel:Rev | RowSum | B000111 | 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | -| 45 | Seidel:Rev | EvenSum | missing | 1 1 1 3 9 35 149 767 4277 27399 188457 1445611 11812705 105586843 998765725 10195138935 | -| 46 | Seidel:Rev | OddSum | missing | 0 0 1 2 7 26 123 618 3659 23122 165335 1257154 10555551 93774138 904991587 9196373210 100334484883 | -| 47 | Seidel:Rev | AltSum | missing | 1 1 0 1 2 9 26 149 618 4277 23122 188457 1257154 11812705 93774138 998765725 9196373210 | -| 48 | Seidel:Rev | DiagSum | missing | 1 1 1 3 7 22 81 349 1723 9628 60037 413373 3113959 25470424 224759577 2128031749 21515944795 | -| 49 | Seidel:Rev | AccSum | B000111 | 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | -| 50 | Seidel:Rev | AccRevSum | B034428 | 1 1 3 9 35 155 791 4529 28839 201939 1542739 12767689 113794603 1086657403 11068604847 119790363489 | -| 51 | Seidel:Rev | RowLcm | missing | 1 1 1 2 20 560 314272 165389056 23981211622400 281812254093464320 122801591138088344632211198464 | -| 52 | Seidel:Rev | RowGcd | A078315 | 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 53 | Seidel:Rev | RowMax | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | -| 54 | Seidel:Rev | ColMiddle | A005437 | 1 1 1 2 4 14 46 224 1024 6320 36976 275792 1965664 17180144 144361456 1446351104 13997185024 | -| 55 | Seidel:Rev | CentralE | A000657 | 1 1 4 46 1024 36976 1965664 144361456 13997185024 1731678144256 266182076161024 49763143319190016 | -| 56 | Seidel:Rev | CentralO | missing | 1 2 14 224 6320 275792 17180144 1446351104 158116017920 21771730437632 3686171162253824 | -| 57 | Seidel:Rev | ColLeft | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | -| 58 | Seidel:Rev | BinConv | A001586 | 1 1 3 11 57 361 2763 24611 250737 2873041 36581523 512343611 7828053417 129570724921 2309644635483 | -| 59 | Seidel:Rev | TransNat0 | B278678 | 0 0 1 4 19 94 519 3144 20903 151418 1188947 10064924 91426347 887296422 9164847535 100398851344 | -| 60 | Seidel:Rev | TransNat1 | B034428 | 1 1 3 9 35 155 791 4529 28839 201939 1542739 12767689 113794603 1086657403 11068604847 119790363489 | -| 61 | Seidel:Rev | TransSqrs | missing | 0 0 1 6 39 242 1611 11406 86795 707946 6180615 57580966 570803583 6002999922 66789245683 | -| 62 | Seidel:Rev | PosHalf | missing | 1 2 6 26 140 930 7280 66034 680544 7865098 100760704 1417772682 21738715648 360815821106 | -| 63 | Seidel:Rev | NegHalf | missing | 1 -2 2 -10 52 -338 2576 -23074 235168 -2698874 34382720 -481855738 7364990464 -121946944610 | -| 64 | Seidel:Rev | DiagRow1 | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | -| 65 | Seidel:Rev | DiagRow2 | B001250 | 1 2 4 10 32 122 544 2770 15872 101042 707584 5405530 44736512 398721962 3807514624 38783024290 | -| 66 | Seidel:Rev | DiagRow3 | A006216 | 2 5 14 46 178 800 4094 23536 150178 1053440 8057774 66750976 595380178 5688903680 57975175454 | -| 67 | Seidel:Rev | DiagCol1 | B000111 | 0 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | -| 68 | Seidel:Rev | DiagCol2 | A006212 | 0 1 4 14 56 256 1324 7664 49136 345856 2652244 22014464 196658216 1881389056 19192151164 | -| 69 | Seidel:Rev | DiagCol3 | A006213 | 0 2 10 46 224 1202 7120 46366 329984 2551202 21306880 191252686 1836652544 18793429202 204154071040 | -| 70 | Seidel:Rev | Poly | A181645 | 1 1 1 1 1 1 2 2 1 1 5 5 3 1 1 16 16 10 4 1 1 61 61 47 17 5 1 1 272 272 264 110 26 6 1 1 1385 1385 | -| 71 | Seidel:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 72 | Seidel:Rev | PolyRow3 | B002522 | 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 73 | Seidel:Rev | PolyCol2 | missing | 1 1 3 10 47 264 1799 14288 130683 1353152 15679675 201167616 2832842599 43455063040 721432281231 | -| 74 | Seidel:Rev | PolyCol3 | missing | 1 1 4 17 110 865 8470 97973 1318694 20221309 348467326 6666557849 140229277838 3216799363033 | -| 75 | Seidel:Rev | PolyDiag | missing | 1 1 3 17 217 4821 178267 9745973 744153009 75404331817 9793388155331 1585130919126105 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:-----------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | Seidel:Std | Triangle | A008281 | 1 0 1 0 1 1 0 1 2 2 0 2 4 5 5 0 5 10 14 16 16 0 16 32 46 56 61 61 0 61 122 178 224 256 272 272 0 | +| 1 | Seidel:Std | Rev | missing | 1 1 0 1 1 0 2 2 1 0 5 5 4 2 0 16 16 14 10 5 0 61 61 56 46 32 16 0 272 272 256 224 178 122 61 0 1385 | +| 2 | Seidel:Std | Acc | missing | 1 0 1 0 1 2 0 1 3 5 0 2 6 11 16 0 5 15 29 45 61 0 16 48 94 150 211 272 0 61 183 361 585 841 1113 | +| 3 | Seidel:Std | AccRev | A008282 | 1 1 1 1 2 2 2 4 5 5 5 10 14 16 16 16 32 46 56 61 61 61 122 178 224 256 272 272 272 544 800 1024 | +| 4 | Seidel:Std | AntiDiag | missing | 1 0 0 1 0 1 0 1 1 0 2 2 0 5 4 2 0 16 10 5 0 61 32 14 5 0 272 122 46 16 0 1385 544 178 56 16 0 7936 | +| 5 | Seidel:Std | Diffx1 | missing | 1 0 2 0 2 3 0 2 6 8 0 4 12 20 25 0 10 30 56 80 96 0 32 96 184 280 366 427 0 122 366 712 1120 1536 | +| 6 | Seidel:Std | RowSum | B000111 | 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 7 | Seidel:Std | EvenSum | missing | 1 0 1 2 9 26 149 618 4277 23122 188457 1257154 11812705 93774138 998765725 9196373210 109530858093 | +| 8 | Seidel:Std | OddSum | missing | 0 1 1 3 7 35 123 767 3659 27399 165335 1445611 10555551 105586843 904991587 10195138935 | +| 9 | Seidel:Std | AltSum | missing | 1 -1 0 -1 2 -9 26 -149 618 -4277 23122 -188457 1257154 -11812705 93774138 -998765725 9196373210 | +| 10 | Seidel:Std | DiagSum | missing | 1 0 1 1 2 4 11 31 112 456 2179 11791 71828 485140 3599099 29069251 253828828 2381859192 23897803987 | +| 11 | Seidel:Std | AccSum | B034428 | 1 1 3 9 35 155 791 4529 28839 201939 1542739 12767689 113794603 1086657403 11068604847 119790363489 | +| 12 | Seidel:Std | AccRevSum | B000111 | 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 13 | Seidel:Std | RowLcm | missing | 1 1 1 2 20 560 314272 165389056 23981211622400 281812254093464320 122801591138088344632211198464 | +| 14 | Seidel:Std | RowGcd | A078315 | 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 15 | Seidel:Std | RowMax | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 16 | Seidel:Std | ColMiddle | missing | 1 0 1 1 4 10 46 178 1024 5296 36976 238816 1965664 15214480 144361456 1301989648 13997185024 | +| 17 | Seidel:Std | CentralE | A000657 | 1 1 4 46 1024 36976 1965664 144361456 13997185024 1731678144256 266182076161024 49763143319190016 | +| 18 | Seidel:Std | CentralO | A240561 | 0 1 10 178 5296 238816 15214480 1301989648 144118832896 20040052293376 3419989086092800 | +| 19 | Seidel:Std | ColRight | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 20 | Seidel:Std | BinConv | A001586 | 1 1 3 11 57 361 2763 24611 250737 2873041 36581523 512343611 7828053417 129570724921 2309644635483 | +| 21 | Seidel:Std | TransNat0 | missing | 0 1 3 11 45 211 1113 6551 42585 303271 2348973 19665491 176992725 1704396331 17487754833 | +| 22 | Seidel:Std | TransNat1 | B000111 | 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 23 | Seidel:Std | TransSqrs | missing | 0 1 5 27 143 827 5175 35255 260251 2074623 17780875 163187203 1597600119 16625298739 183309947855 | +| 24 | Seidel:Std | PosHalf | missing | 1 1 3 10 47 264 1799 14288 130683 1353152 15679675 201167616 2832842599 43455063040 721432281231 | +| 25 | Seidel:Std | NegHalf | missing | 1 1 -1 2 -5 40 -205 1808 -14921 159424 -1782409 23039744 -320336237 4917449728 -81231509413 | +| 26 | Seidel:Std | DiagRow1 | B000111 | 0 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 27 | Seidel:Std | DiagRow2 | A006212 | 0 1 4 14 56 256 1324 7664 49136 345856 2652244 22014464 196658216 1881389056 19192151164 | +| 28 | Seidel:Std | DiagRow3 | A006213 | 0 2 10 46 224 1202 7120 46366 329984 2551202 21306880 191252686 1836652544 18793429202 204154071040 | +| 29 | Seidel:Std | DiagCol1 | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 30 | Seidel:Std | DiagCol2 | B001250 | 1 2 4 10 32 122 544 2770 15872 101042 707584 5405530 44736512 398721962 3807514624 38783024290 | +| 31 | Seidel:Std | DiagCol3 | A006216 | 2 5 14 46 178 800 4094 23536 150178 1053440 8057774 66750976 595380178 5688903680 57975175454 | +| 32 | Seidel:Std | Poly | A067347 | 1 0 1 0 1 1 0 2 2 1 0 5 6 3 1 0 16 26 12 4 1 0 61 140 75 20 5 1 0 272 930 582 164 30 6 1 0 1385 | +| 33 | Seidel:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 34 | Seidel:Std | PolyRow2 | A002378 | 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | +| 35 | Seidel:Std | PolyRow3 | A048395 | 0 5 26 75 164 305 510 791 1160 1629 2210 2915 3756 4745 5894 7215 8720 10421 12330 14459 16820 | +| 36 | Seidel:Std | PolyCol2 | missing | 1 2 6 26 140 930 7280 66034 680544 7865098 100760704 1417772682 21738715648 360815821106 | +| 37 | Seidel:Std | PolyCol3 | missing | 1 3 12 75 582 5667 65406 879591 13483518 232328391 4444489830 93487086147 2144540364774 | +| 38 | Seidel:Std | PolyDiag | missing | 1 1 6 75 1672 62025 3404112 260912099 26532106368 3457039470993 561154561362560 111010187189605275 | +| 39 | Seidel:Alt | Triangle | A008281 | 1 0 -1 0 -1 1 0 -1 2 -2 0 -2 4 -5 5 0 -5 10 -14 16 -16 0 -16 32 -46 56 -61 61 0 -61 122 -178 224 | +| 40 | Seidel:Alt | Rev | missing | 1 -1 0 1 -1 0 -2 2 -1 0 5 -5 4 -2 0 -16 16 -14 10 -5 0 61 -61 56 -46 32 -16 0 -272 272 -256 224 | +| 41 | Seidel:Alt | Acc | missing | 1 0 -1 0 -1 0 0 -1 1 -1 0 -2 2 -3 2 0 -5 5 -9 7 -9 0 -16 16 -30 26 -35 26 0 -61 61 -117 107 -149 | +| 42 | Seidel:Alt | AccRev | missing | 1 -1 -1 1 0 0 -2 0 -1 -1 5 0 4 2 2 -16 0 -14 -4 -9 -9 61 0 56 10 42 26 26 -272 0 -256 -32 -210 -88 | +| 43 | Seidel:Alt | AntiDiag | missing | 1 0 0 -1 0 -1 0 -1 1 0 -2 2 0 -5 4 -2 0 -16 10 -5 0 -61 32 -14 5 0 -272 122 -46 16 0 -1385 544 -178 | +| 44 | Seidel:Alt | Diffx1 | missing | 1 0 -2 0 -2 3 0 -2 6 -8 0 -4 12 -20 25 0 -10 30 -56 80 -96 0 -32 96 -184 280 -366 427 0 -122 366 | +| 45 | Seidel:Alt | RowSum | missing | 1 -1 0 -1 2 -9 26 -149 618 -4277 23122 -188457 1257154 -11812705 93774138 -998765725 9196373210 | +| 46 | Seidel:Alt | EvenSum | missing | 1 0 1 2 9 26 149 618 4277 23122 188457 1257154 11812705 93774138 998765725 9196373210 109530858093 | +| 47 | Seidel:Alt | OddSum | missing | 0 -1 -1 -3 -7 -35 -123 -767 -3659 -27399 -165335 -1445611 -10555551 -105586843 -904991587 | +| 48 | Seidel:Alt | AltSum | B000111 | 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 49 | Seidel:Alt | DiagSum | missing | 1 0 -1 -1 0 0 -3 -11 -38 -180 -979 -5803 -37914 -271920 -2119971 -17850863 -161501642 -1562629860 | +| 50 | Seidel:Alt | AccSum | missing | 1 -1 -1 -1 -1 -11 -13 -185 -269 -5363 -9281 -237601 -477593 -14945227 -34235605 -1266693769 | +| 51 | Seidel:Alt | AccRevSum | missing | 1 -2 1 -4 13 -52 221 -1156 6449 -41684 286745 -2212340 18077749 -162245348 1534621813 -15712323556 | +| 52 | Seidel:Alt | RowLcm | missing | 1 1 1 2 20 560 314272 165389056 23981211622400 281812254093464320 122801591138088344632211198464 | +| 53 | Seidel:Alt | RowGcd | A078315 | 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 54 | Seidel:Alt | RowMax | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 55 | Seidel:Alt | ColMiddle | missing | 1 0 -1 -1 4 10 -46 -178 1024 5296 -36976 -238816 1965664 15214480 -144361456 -1301989648 | +| 56 | Seidel:Alt | CentralE | A000657 | 1 -1 4 -46 1024 -36976 1965664 -144361456 13997185024 -1731678144256 266182076161024 | +| 57 | Seidel:Alt | CentralO | A240561 | 0 -1 10 -178 5296 -238816 15214480 -1301989648 144118832896 -20040052293376 3419989086092800 | +| 58 | Seidel:Alt | ColRight | A000111 | 1 -1 1 -2 5 -16 61 -272 1385 -7936 50521 -353792 2702765 -22368256 199360981 -1903757312 | +| 59 | Seidel:Alt | InvBinConv | A001586 | 1 -1 3 -11 57 -361 2763 -24611 250737 -2873041 36581523 -512343611 7828053417 -129570724921 | +| 60 | Seidel:Alt | TransNat0 | missing | 0 -1 1 -3 11 -43 195 -1007 5831 -37407 263623 -2023883 16820595 -150432643 1440847675 -14713557831 | +| 61 | Seidel:Alt | TransNat1 | missing | 1 -2 1 -4 13 -52 221 -1156 6449 -41684 286745 -2212340 18077749 -162245348 1534621813 -15712323556 | +| 62 | Seidel:Alt | TransSqrs | missing | 0 -1 3 -11 49 -235 1265 -7527 49477 -354543 2764285 -23236083 210034121 -2028328931 20874623065 | +| 63 | Seidel:Alt | PosHalf | missing | 1 -1 -1 -2 -5 -40 -205 -1808 -14921 -159424 -1782409 -23039744 -320336237 -4917449728 -81231509413 | +| 64 | Seidel:Alt | NegHalf | missing | 1 -1 3 -10 47 -264 1799 -14288 130683 -1353152 15679675 -201167616 2832842599 -43455063040 | +| 65 | Seidel:Alt | DiagRow1 | B000111 | 0 -1 2 -5 16 -61 272 -1385 7936 -50521 353792 -2702765 22368256 -199360981 1903757312 -19391512145 | +| 66 | Seidel:Alt | DiagRow2 | A006212 | 0 -1 4 -14 56 -256 1324 -7664 49136 -345856 2652244 -22014464 196658216 -1881389056 19192151164 | +| 67 | Seidel:Alt | DiagRow3 | A006213 | 0 -2 10 -46 224 -1202 7120 -46366 329984 -2551202 21306880 -191252686 1836652544 -18793429202 | +| 68 | Seidel:Alt | DiagCol1 | A000111 | -1 -1 -1 -2 -5 -16 -61 -272 -1385 -7936 -50521 -353792 -2702765 -22368256 -199360981 -1903757312 | +| 69 | Seidel:Alt | DiagCol2 | B001250 | 1 2 4 10 32 122 544 2770 15872 101042 707584 5405530 44736512 398721962 3807514624 38783024290 | +| 70 | Seidel:Alt | DiagCol3 | A006216 | -2 -5 -14 -46 -178 -800 -4094 -23536 -150178 -1053440 -8057774 -66750976 -595380178 -5688903680 | +| 71 | Seidel:Alt | Poly | missing | 1 0 1 0 -1 1 0 0 -2 1 0 -1 2 -3 1 0 2 -10 6 -4 1 0 -9 52 -39 12 -5 1 0 26 -338 300 -100 20 -6 1 0 | +| 72 | Seidel:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 73 | Seidel:Alt | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 74 | Seidel:Alt | PolyRow3 | A059722 | 0 -1 -10 -39 -100 -205 -366 -595 -904 -1305 -1810 -2431 -3180 -4069 -5110 -6315 -7696 -9265 -11034 | +| 75 | Seidel:Alt | PolyCol2 | missing | 1 -2 2 -10 52 -338 2576 -23074 235168 -2698874 34382720 -481855738 7364990464 -121946944610 | +| 76 | Seidel:Alt | PolyCol3 | missing | 1 -3 6 -39 300 -2895 33180 -444531 6796524 -116903427 2233586364 -46939144863 1076013642108 | +| 77 | Seidel:Alt | PolyDiag | missing | 1 -1 2 -39 1016 -41525 2435376 -195823439 20643397504 -2766164252589 459177798931840 | +| 78 | Seidel:Rev | Triangle | missing | 1 1 0 1 1 0 2 2 1 0 5 5 4 2 0 16 16 14 10 5 0 61 61 56 46 32 16 0 272 272 256 224 178 122 61 0 1385 | +| 79 | Seidel:Rev | Acc | A008282 | 1 1 1 1 2 2 2 4 5 5 5 10 14 16 16 16 32 46 56 61 61 61 122 178 224 256 272 272 272 544 800 1024 | +| 80 | Seidel:Rev | AccRev | missing | 1 0 1 0 1 2 0 1 3 5 0 2 6 11 16 0 5 15 29 45 61 0 16 48 94 150 211 272 0 61 183 361 585 841 1113 | +| 81 | Seidel:Rev | AntiDiag | missing | 1 1 1 0 2 1 5 2 0 16 5 1 61 16 4 0 272 61 14 2 1385 272 56 10 0 7936 1385 256 46 5 50521 7936 1324 | +| 82 | Seidel:Rev | Diffx1 | missing | 1 1 0 1 2 0 2 4 3 0 5 10 12 8 0 16 32 42 40 25 0 61 122 168 184 160 96 0 272 544 768 896 890 732 | +| 83 | Seidel:Rev | RowSum | B000111 | 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 84 | Seidel:Rev | EvenSum | missing | 1 1 1 3 9 35 149 767 4277 27399 188457 1445611 11812705 105586843 998765725 10195138935 | +| 85 | Seidel:Rev | OddSum | missing | 0 0 1 2 7 26 123 618 3659 23122 165335 1257154 10555551 93774138 904991587 9196373210 100334484883 | +| 86 | Seidel:Rev | AltSum | missing | 1 1 0 1 2 9 26 149 618 4277 23122 188457 1257154 11812705 93774138 998765725 9196373210 | +| 87 | Seidel:Rev | DiagSum | missing | 1 1 1 3 7 22 81 349 1723 9628 60037 413373 3113959 25470424 224759577 2128031749 21515944795 | +| 88 | Seidel:Rev | AccSum | B000111 | 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 89 | Seidel:Rev | AccRevSum | B034428 | 1 1 3 9 35 155 791 4529 28839 201939 1542739 12767689 113794603 1086657403 11068604847 119790363489 | +| 90 | Seidel:Rev | RowLcm | missing | 1 1 1 2 20 560 314272 165389056 23981211622400 281812254093464320 122801591138088344632211198464 | +| 91 | Seidel:Rev | RowGcd | A078315 | 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 92 | Seidel:Rev | RowMax | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 93 | Seidel:Rev | ColMiddle | A005437 | 1 1 1 2 4 14 46 224 1024 6320 36976 275792 1965664 17180144 144361456 1446351104 13997185024 | +| 94 | Seidel:Rev | CentralE | A000657 | 1 1 4 46 1024 36976 1965664 144361456 13997185024 1731678144256 266182076161024 49763143319190016 | +| 95 | Seidel:Rev | CentralO | missing | 1 2 14 224 6320 275792 17180144 1446351104 158116017920 21771730437632 3686171162253824 | +| 96 | Seidel:Rev | ColLeft | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 97 | Seidel:Rev | BinConv | A001586 | 1 1 3 11 57 361 2763 24611 250737 2873041 36581523 512343611 7828053417 129570724921 2309644635483 | +| 98 | Seidel:Rev | TransNat0 | B278678 | 0 0 1 4 19 94 519 3144 20903 151418 1188947 10064924 91426347 887296422 9164847535 100398851344 | +| 99 | Seidel:Rev | TransNat1 | B034428 | 1 1 3 9 35 155 791 4529 28839 201939 1542739 12767689 113794603 1086657403 11068604847 119790363489 | +| 100 | Seidel:Rev | TransSqrs | missing | 0 0 1 6 39 242 1611 11406 86795 707946 6180615 57580966 570803583 6002999922 66789245683 | +| 101 | Seidel:Rev | PosHalf | missing | 1 2 6 26 140 930 7280 66034 680544 7865098 100760704 1417772682 21738715648 360815821106 | +| 102 | Seidel:Rev | NegHalf | missing | 1 -2 2 -10 52 -338 2576 -23074 235168 -2698874 34382720 -481855738 7364990464 -121946944610 | +| 103 | Seidel:Rev | DiagRow1 | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 104 | Seidel:Rev | DiagRow2 | B001250 | 1 2 4 10 32 122 544 2770 15872 101042 707584 5405530 44736512 398721962 3807514624 38783024290 | +| 105 | Seidel:Rev | DiagRow3 | A006216 | 2 5 14 46 178 800 4094 23536 150178 1053440 8057774 66750976 595380178 5688903680 57975175454 | +| 106 | Seidel:Rev | DiagCol1 | B000111 | 0 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 107 | Seidel:Rev | DiagCol2 | A006212 | 0 1 4 14 56 256 1324 7664 49136 345856 2652244 22014464 196658216 1881389056 19192151164 | +| 108 | Seidel:Rev | DiagCol3 | A006213 | 0 2 10 46 224 1202 7120 46366 329984 2551202 21306880 191252686 1836652544 18793429202 204154071040 | +| 109 | Seidel:Rev | Poly | A181645 | 1 1 1 1 1 1 2 2 1 1 5 5 3 1 1 16 16 10 4 1 1 61 61 47 17 5 1 1 272 272 264 110 26 6 1 1 1385 1385 | +| 110 | Seidel:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 111 | Seidel:Rev | PolyRow3 | B002522 | 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 112 | Seidel:Rev | PolyCol2 | missing | 1 1 3 10 47 264 1799 14288 130683 1353152 15679675 201167616 2832842599 43455063040 721432281231 | +| 113 | Seidel:Rev | PolyCol3 | missing | 1 1 4 17 110 865 8470 97973 1318694 20221309 348467326 6666557849 140229277838 3216799363033 | +| 114 | Seidel:Rev | PolyDiag | missing | 1 1 3 17 217 4821 178267 9745973 744153009 75404331817 9793388155331 1585130919126105 | \ No newline at end of file diff --git a/data/md/SeidelBoust.md b/data/md/SeidelBoust.md index 068fb01..ce90f32 100644 --- a/data/md/SeidelBoust.md +++ b/data/md/SeidelBoust.md @@ -1,80 +1,120 @@ -| | triangle | trait | anum | seq | -|---:|:----------------|:----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | SeidelBoust:Std | Triangle | A008280 | 1 0 1 1 1 0 0 1 2 2 5 5 4 2 0 0 5 10 14 16 16 61 61 56 46 32 16 0 0 61 122 178 224 256 272 272 1385 | -| 1 | SeidelBoust:Std | Rev | A108040 | 1 1 0 0 1 1 2 2 1 0 0 2 4 5 5 16 16 14 10 5 0 0 16 32 46 56 61 61 272 272 256 224 178 122 61 0 0 | -| 2 | SeidelBoust:Std | Acc | missing | 1 0 1 1 2 2 0 1 3 5 5 10 14 16 16 0 5 15 29 45 61 61 122 178 224 256 272 272 0 61 183 361 585 841 | -| 3 | SeidelBoust:Std | AccRev | missing | 1 1 1 0 1 2 2 4 5 5 0 2 6 11 16 16 32 46 56 61 61 0 16 48 94 150 211 272 272 544 800 1024 1202 1324 | -| 4 | SeidelBoust:Std | AntiDiag | missing | 1 0 1 1 0 1 5 1 0 0 5 2 61 5 4 2 0 61 10 2 1385 61 56 14 0 0 1385 122 46 16 50521 1385 1324 178 32 | -| 5 | SeidelBoust:Std | Diffx1 | missing | 1 0 2 1 2 0 0 2 6 8 5 10 12 8 0 0 10 30 56 80 96 61 122 168 184 160 96 0 0 122 366 712 1120 1536 | -| 6 | SeidelBoust:Std | RowSum | B000111 | 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | -| 7 | SeidelBoust:Std | EvenSum | missing | 1 0 1 2 9 26 149 618 4277 23122 188457 1257154 11812705 93774138 998765725 9196373210 109530858093 | -| 8 | SeidelBoust:Std | OddSum | missing | 0 1 1 3 7 35 123 767 3659 27399 165335 1445611 10555551 105586843 904991587 10195138935 | -| 9 | SeidelBoust:Std | AltSum | missing | 1 -1 0 -1 2 -9 26 -149 618 -4277 23122 -188457 1257154 -11812705 93774138 -998765725 9196373210 | -| 10 | SeidelBoust:Std | DiagSum | missing | 1 0 2 1 6 7 72 73 1516 1569 53456 54733 2807796 2856541 204915576 207558625 19798267276 19994607513 | -| 11 | SeidelBoust:Std | AccSum | missing | 1 1 5 9 61 155 1385 4529 50521 201939 2702765 12767689 199360981 1086657403 19391512145 | -| 12 | SeidelBoust:Std | AccRevSum | missing | 1 2 3 16 35 272 791 7936 28839 353792 1542739 22368256 113794603 1903757312 11068604847 | -| 13 | SeidelBoust:Std | RowLcm | missing | 1 1 1 2 20 560 314272 165389056 23981211622400 281812254093464320 122801591138088344632211198464 | -| 14 | SeidelBoust:Std | RowGcd | A078315 | 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 15 | SeidelBoust:Std | RowMax | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | -| 16 | SeidelBoust:Std | ColMiddle | missing | 1 0 1 1 4 10 46 178 1024 5296 36976 238816 1965664 15214480 144361456 1301989648 13997185024 | -| 17 | SeidelBoust:Std | CentralE | A000657 | 1 1 4 46 1024 36976 1965664 144361456 13997185024 1731678144256 266182076161024 49763143319190016 | -| 18 | SeidelBoust:Std | CentralO | A240561 | 0 1 10 178 5296 238816 15214480 1301989648 144118832896 20040052293376 3419989086092800 | -| 19 | SeidelBoust:Std | ColLeft | A122045 | 1 0 1 0 5 0 61 0 1385 0 50521 0 2702765 0 199360981 0 19391512145 0 2404879675441 0 370371188237525 | -| 20 | SeidelBoust:Std | ColRight | A009006 | 1 1 0 2 0 16 0 272 0 7936 0 353792 0 22368256 0 1903757312 0 209865342976 0 29088885112832 0 | -| 21 | SeidelBoust:Std | BinConv | A001586 | 1 1 3 11 57 361 2763 24611 250737 2873041 36581523 512343611 7828053417 129570724921 2309644635483 | -| 22 | SeidelBoust:Std | TransNat0 | missing | 0 1 1 11 19 211 519 6551 20903 303271 1188947 19665491 91426347 1704396331 9164847535 190473830831 | -| 23 | SeidelBoust:Std | TransNat1 | missing | 1 2 3 16 35 272 791 7936 28839 353792 1542739 22368256 113794603 1903757312 11068604847 | -| 24 | SeidelBoust:Std | TransSqrs | missing | 0 1 1 27 39 827 1611 35255 86795 2074623 6180615 163187203 570803583 16625298739 66789245683 | -| 25 | SeidelBoust:Std | PosHalf | missing | 1 1 6 10 140 264 7280 14288 680544 1353152 100760704 201167616 21738715648 43455063040 | -| 26 | SeidelBoust:Std | NegHalf | missing | 1 1 2 2 52 40 2576 1808 235168 159424 34382720 23039744 7364990464 4917449728 2174275241984 | -| 27 | SeidelBoust:Std | DiagRow1 | missing | 0 1 2 2 16 16 272 272 7936 7936 353792 353792 22368256 22368256 1903757312 1903757312 209865342976 | -| 28 | SeidelBoust:Std | DiagRow2 | missing | 1 1 4 14 32 256 544 7664 15872 345856 707584 22014464 44736512 1881389056 3807514624 207961585664 | -| 29 | SeidelBoust:Std | DiagRow3 | missing | 0 5 10 46 224 800 7120 23536 329984 1053440 21306880 66750976 1836652544 5688903680 204154071040 | -| 30 | SeidelBoust:Std | DiagCol1 | A241209 | 1 1 1 5 5 61 61 1385 1385 50521 50521 2702765 2702765 199360981 199360981 19391512145 19391512145 | -| 31 | SeidelBoust:Std | DiagCol2 | missing | 0 2 4 10 56 122 1324 2770 49136 101042 2652244 5405530 196658216 398721962 19192151164 38783024290 | -| 32 | SeidelBoust:Std | DiagCol3 | missing | 2 2 14 46 178 1202 4094 46366 150178 2551202 8057774 191252686 595380178 18793429202 57975175454 | -| 33 | SeidelBoust:Std | Poly | missing | 1 0 1 1 1 1 0 2 2 1 5 5 3 3 1 0 16 26 4 4 1 61 61 47 75 5 5 1 0 272 930 110 164 6 6 1 1385 1385 | -| 34 | SeidelBoust:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 35 | SeidelBoust:Std | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 36 | SeidelBoust:Std | PolyRow3 | A048395 | 0 5 26 75 164 305 510 791 1160 1629 2210 2915 3756 4745 5894 7215 8720 10421 12330 14459 16820 | -| 37 | SeidelBoust:Std | PolyCol2 | missing | 1 2 3 26 47 930 1799 66034 130683 7865098 15679675 1417772682 2832842599 360815821106 721432281231 | -| 38 | SeidelBoust:Std | PolyCol3 | missing | 1 3 4 75 110 5667 8470 879591 1318694 232328391 348467326 93487086147 140229277838 53282993599275 | -| 39 | SeidelBoust:Std | PolyDiag | missing | 1 1 3 75 217 62025 178267 260912099 744153009 3457039470993 9793388155331 111010187189605275 | -| 40 | SeidelBoust:Rev | Triangle | A108040 | 1 1 0 0 1 1 2 2 1 0 0 2 4 5 5 16 16 14 10 5 0 0 16 32 46 56 61 61 272 272 256 224 178 122 61 0 0 | -| 41 | SeidelBoust:Rev | Acc | missing | 1 1 1 0 1 2 2 4 5 5 0 2 6 11 16 16 32 46 56 61 61 0 16 48 94 150 211 272 272 544 800 1024 1202 1324 | -| 42 | SeidelBoust:Rev | AccRev | missing | 1 0 1 1 2 2 0 1 3 5 5 10 14 16 16 0 5 15 29 45 61 61 122 178 224 256 272 272 0 61 183 361 585 841 | -| 43 | SeidelBoust:Rev | AntiDiag | missing | 1 1 0 0 2 1 0 2 1 16 2 1 0 16 4 0 272 16 14 5 0 272 32 10 5 7936 272 256 46 5 0 7936 544 224 56 0 | -| 44 | SeidelBoust:Rev | Diffx1 | missing | 1 1 0 0 2 3 2 4 3 0 0 4 12 20 25 16 32 42 40 25 0 0 32 96 184 280 366 427 272 544 768 896 890 732 | -| 45 | SeidelBoust:Rev | RowSum | B000111 | 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | -| 46 | SeidelBoust:Rev | EvenSum | missing | 1 1 1 3 9 35 149 767 4277 27399 188457 1445611 11812705 105586843 998765725 10195138935 | -| 47 | SeidelBoust:Rev | OddSum | missing | 0 0 1 2 7 26 123 618 3659 23122 165335 1257154 10555551 93774138 904991587 9196373210 100334484883 | -| 48 | SeidelBoust:Rev | AltSum | missing | 1 1 0 1 2 9 26 149 618 4277 23122 188457 1257154 11812705 93774138 998765725 9196373210 | -| 49 | SeidelBoust:Rev | DiagSum | missing | 1 1 0 3 3 19 20 307 319 8515 8760 370431 377991 23099023 23443100 1949542375 1971506347 | -| 50 | SeidelBoust:Rev | AccSum | missing | 1 2 3 16 35 272 791 7936 28839 353792 1542739 22368256 113794603 1903757312 11068604847 | -| 51 | SeidelBoust:Rev | AccRevSum | missing | 1 1 5 9 61 155 1385 4529 50521 201939 2702765 12767689 199360981 1086657403 19391512145 | -| 52 | SeidelBoust:Rev | RowLcm | missing | 1 1 1 2 20 560 314272 165389056 23981211622400 281812254093464320 122801591138088344632211198464 | -| 53 | SeidelBoust:Rev | RowGcd | A078315 | 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 54 | SeidelBoust:Rev | RowMax | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | -| 55 | SeidelBoust:Rev | ColMiddle | A005437 | 1 1 1 2 4 14 46 224 1024 6320 36976 275792 1965664 17180144 144361456 1446351104 13997185024 | -| 56 | SeidelBoust:Rev | CentralE | A000657 | 1 1 4 46 1024 36976 1965664 144361456 13997185024 1731678144256 266182076161024 49763143319190016 | -| 57 | SeidelBoust:Rev | CentralO | missing | 1 2 14 224 6320 275792 17180144 1446351104 158116017920 21771730437632 3686171162253824 | -| 58 | SeidelBoust:Rev | ColLeft | A009006 | 1 1 0 2 0 16 0 272 0 7936 0 353792 0 22368256 0 1903757312 0 209865342976 0 29088885112832 0 | -| 59 | SeidelBoust:Rev | ColRight | A122045 | 1 0 1 0 5 0 61 0 1385 0 50521 0 2702765 0 199360981 0 19391512145 0 2404879675441 0 370371188237525 | -| 60 | SeidelBoust:Rev | BinConv | A001586 | 1 1 3 11 57 361 2763 24611 250737 2873041 36581523 512343611 7828053417 129570724921 2309644635483 | -| 61 | SeidelBoust:Rev | TransNat0 | missing | 0 0 3 4 45 94 1113 3144 42585 151418 2348973 10064924 176992725 887296422 17487754833 100398851344 | -| 62 | SeidelBoust:Rev | TransNat1 | missing | 1 1 5 9 61 155 1385 4529 50521 201939 2702765 12767689 199360981 1086657403 19391512145 | -| 63 | SeidelBoust:Rev | TransSqrs | missing | 0 0 5 6 143 242 5175 11406 260251 707946 17780875 57580966 1597600119 6002999922 183309947855 | -| 64 | SeidelBoust:Rev | PosHalf | missing | 1 2 3 26 47 930 1799 66034 130683 7865098 15679675 1417772682 2832842599 360815821106 721432281231 | -| 65 | SeidelBoust:Rev | NegHalf | missing | 1 -2 -1 -10 -5 -338 -205 -23074 -14921 -2698874 -1782409 -481855738 -320336237 -121946944610 | -| 66 | SeidelBoust:Rev | DiagRow1 | A241209 | 1 1 1 5 5 61 61 1385 1385 50521 50521 2702765 2702765 199360981 199360981 19391512145 19391512145 | -| 67 | SeidelBoust:Rev | DiagRow2 | missing | 0 2 4 10 56 122 1324 2770 49136 101042 2652244 5405530 196658216 398721962 19192151164 38783024290 | -| 68 | SeidelBoust:Rev | DiagRow3 | missing | 2 2 14 46 178 1202 4094 46366 150178 2551202 8057774 191252686 595380178 18793429202 57975175454 | -| 69 | SeidelBoust:Rev | DiagCol1 | missing | 0 1 2 2 16 16 272 272 7936 7936 353792 353792 22368256 22368256 1903757312 1903757312 209865342976 | -| 70 | SeidelBoust:Rev | DiagCol2 | missing | 1 1 4 14 32 256 544 7664 15872 345856 707584 22014464 44736512 1881389056 3807514624 207961585664 | -| 71 | SeidelBoust:Rev | DiagCol3 | missing | 0 5 10 46 224 800 7120 23536 329984 1053440 21306880 66750976 1836652544 5688903680 204154071040 | -| 72 | SeidelBoust:Rev | Poly | missing | 1 1 1 0 1 1 2 2 1 1 0 5 6 1 1 16 16 10 12 1 1 0 61 140 17 20 1 1 272 272 264 582 26 30 1 1 0 1385 | -| 73 | SeidelBoust:Rev | PolyRow2 | A002378 | 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | -| 74 | SeidelBoust:Rev | PolyRow3 | B002522 | 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 75 | SeidelBoust:Rev | PolyCol2 | missing | 1 1 6 10 140 264 7280 14288 680544 1353152 100760704 201167616 21738715648 43455063040 | -| 76 | SeidelBoust:Rev | PolyCol3 | missing | 1 1 12 17 582 865 65406 97973 13483518 20221309 4444489830 6666557849 2144540364774 3216799363033 | -| 77 | SeidelBoust:Rev | PolyDiag | missing | 1 1 6 17 1672 4821 3404112 9745973 26532106368 75404331817 561154561362560 1585130919126105 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:----------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | SeidelBoust:Std | Triangle | A008280 | 1 0 1 1 1 0 0 1 2 2 5 5 4 2 0 0 5 10 14 16 16 61 61 56 46 32 16 0 0 61 122 178 224 256 272 272 1385 | +| 1 | SeidelBoust:Std | Rev | A108040 | 1 1 0 0 1 1 2 2 1 0 0 2 4 5 5 16 16 14 10 5 0 0 16 32 46 56 61 61 272 272 256 224 178 122 61 0 0 | +| 2 | SeidelBoust:Std | Acc | missing | 1 0 1 1 2 2 0 1 3 5 5 10 14 16 16 0 5 15 29 45 61 61 122 178 224 256 272 272 0 61 183 361 585 841 | +| 3 | SeidelBoust:Std | AccRev | missing | 1 1 1 0 1 2 2 4 5 5 0 2 6 11 16 16 32 46 56 61 61 0 16 48 94 150 211 272 272 544 800 1024 1202 1324 | +| 4 | SeidelBoust:Std | AntiDiag | missing | 1 0 1 1 0 1 5 1 0 0 5 2 61 5 4 2 0 61 10 2 1385 61 56 14 0 0 1385 122 46 16 50521 1385 1324 178 32 | +| 5 | SeidelBoust:Std | Diffx1 | missing | 1 0 2 1 2 0 0 2 6 8 5 10 12 8 0 0 10 30 56 80 96 61 122 168 184 160 96 0 0 122 366 712 1120 1536 | +| 6 | SeidelBoust:Std | RowSum | B000111 | 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 7 | SeidelBoust:Std | EvenSum | missing | 1 0 1 2 9 26 149 618 4277 23122 188457 1257154 11812705 93774138 998765725 9196373210 109530858093 | +| 8 | SeidelBoust:Std | OddSum | missing | 0 1 1 3 7 35 123 767 3659 27399 165335 1445611 10555551 105586843 904991587 10195138935 | +| 9 | SeidelBoust:Std | AltSum | missing | 1 -1 0 -1 2 -9 26 -149 618 -4277 23122 -188457 1257154 -11812705 93774138 -998765725 9196373210 | +| 10 | SeidelBoust:Std | DiagSum | missing | 1 0 2 1 6 7 72 73 1516 1569 53456 54733 2807796 2856541 204915576 207558625 19798267276 19994607513 | +| 11 | SeidelBoust:Std | AccSum | missing | 1 1 5 9 61 155 1385 4529 50521 201939 2702765 12767689 199360981 1086657403 19391512145 | +| 12 | SeidelBoust:Std | AccRevSum | missing | 1 2 3 16 35 272 791 7936 28839 353792 1542739 22368256 113794603 1903757312 11068604847 | +| 13 | SeidelBoust:Std | RowLcm | missing | 1 1 1 2 20 560 314272 165389056 23981211622400 281812254093464320 122801591138088344632211198464 | +| 14 | SeidelBoust:Std | RowGcd | A078315 | 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 15 | SeidelBoust:Std | RowMax | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 16 | SeidelBoust:Std | ColMiddle | missing | 1 0 1 1 4 10 46 178 1024 5296 36976 238816 1965664 15214480 144361456 1301989648 13997185024 | +| 17 | SeidelBoust:Std | CentralE | A000657 | 1 1 4 46 1024 36976 1965664 144361456 13997185024 1731678144256 266182076161024 49763143319190016 | +| 18 | SeidelBoust:Std | CentralO | A240561 | 0 1 10 178 5296 238816 15214480 1301989648 144118832896 20040052293376 3419989086092800 | +| 19 | SeidelBoust:Std | ColLeft | A122045 | 1 0 1 0 5 0 61 0 1385 0 50521 0 2702765 0 199360981 0 19391512145 0 2404879675441 0 370371188237525 | +| 20 | SeidelBoust:Std | ColRight | A009006 | 1 1 0 2 0 16 0 272 0 7936 0 353792 0 22368256 0 1903757312 0 209865342976 0 29088885112832 0 | +| 21 | SeidelBoust:Std | BinConv | A001586 | 1 1 3 11 57 361 2763 24611 250737 2873041 36581523 512343611 7828053417 129570724921 2309644635483 | +| 22 | SeidelBoust:Std | TransNat0 | missing | 0 1 1 11 19 211 519 6551 20903 303271 1188947 19665491 91426347 1704396331 9164847535 190473830831 | +| 23 | SeidelBoust:Std | TransNat1 | missing | 1 2 3 16 35 272 791 7936 28839 353792 1542739 22368256 113794603 1903757312 11068604847 | +| 24 | SeidelBoust:Std | TransSqrs | missing | 0 1 1 27 39 827 1611 35255 86795 2074623 6180615 163187203 570803583 16625298739 66789245683 | +| 25 | SeidelBoust:Std | PosHalf | missing | 1 1 6 10 140 264 7280 14288 680544 1353152 100760704 201167616 21738715648 43455063040 | +| 26 | SeidelBoust:Std | NegHalf | missing | 1 1 2 2 52 40 2576 1808 235168 159424 34382720 23039744 7364990464 4917449728 2174275241984 | +| 27 | SeidelBoust:Std | DiagRow1 | missing | 0 1 2 2 16 16 272 272 7936 7936 353792 353792 22368256 22368256 1903757312 1903757312 209865342976 | +| 28 | SeidelBoust:Std | DiagRow2 | missing | 1 1 4 14 32 256 544 7664 15872 345856 707584 22014464 44736512 1881389056 3807514624 207961585664 | +| 29 | SeidelBoust:Std | DiagRow3 | missing | 0 5 10 46 224 800 7120 23536 329984 1053440 21306880 66750976 1836652544 5688903680 204154071040 | +| 30 | SeidelBoust:Std | DiagCol1 | A241209 | 1 1 1 5 5 61 61 1385 1385 50521 50521 2702765 2702765 199360981 199360981 19391512145 19391512145 | +| 31 | SeidelBoust:Std | DiagCol2 | missing | 0 2 4 10 56 122 1324 2770 49136 101042 2652244 5405530 196658216 398721962 19192151164 38783024290 | +| 32 | SeidelBoust:Std | DiagCol3 | missing | 2 2 14 46 178 1202 4094 46366 150178 2551202 8057774 191252686 595380178 18793429202 57975175454 | +| 33 | SeidelBoust:Std | Poly | missing | 1 0 1 1 1 1 0 2 2 1 5 5 3 3 1 0 16 26 4 4 1 61 61 47 75 5 5 1 0 272 930 110 164 6 6 1 1385 1385 | +| 34 | SeidelBoust:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 35 | SeidelBoust:Std | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 36 | SeidelBoust:Std | PolyRow3 | A048395 | 0 5 26 75 164 305 510 791 1160 1629 2210 2915 3756 4745 5894 7215 8720 10421 12330 14459 16820 | +| 37 | SeidelBoust:Std | PolyCol2 | missing | 1 2 3 26 47 930 1799 66034 130683 7865098 15679675 1417772682 2832842599 360815821106 721432281231 | +| 38 | SeidelBoust:Std | PolyCol3 | missing | 1 3 4 75 110 5667 8470 879591 1318694 232328391 348467326 93487086147 140229277838 53282993599275 | +| 39 | SeidelBoust:Std | PolyDiag | missing | 1 1 3 75 217 62025 178267 260912099 744153009 3457039470993 9793388155331 111010187189605275 | +| 40 | SeidelBoust:Alt | Triangle | A008280 | 1 0 -1 1 -1 0 0 -1 2 -2 5 -5 4 -2 0 0 -5 10 -14 16 -16 61 -61 56 -46 32 -16 0 0 -61 122 -178 224 | +| 41 | SeidelBoust:Alt | Rev | A108040 | 1 -1 0 0 -1 1 -2 2 -1 0 0 -2 4 -5 5 -16 16 -14 10 -5 0 0 -16 32 -46 56 -61 61 -272 272 -256 224 | +| 42 | SeidelBoust:Alt | Acc | missing | 1 0 -1 1 0 0 0 -1 1 -1 5 0 4 2 2 0 -5 5 -9 7 -9 61 0 56 10 42 26 26 0 -61 61 -117 107 -149 123 -149 | +| 43 | SeidelBoust:Alt | AccRev | missing | 1 -1 -1 0 -1 0 -2 0 -1 -1 0 -2 2 -3 2 -16 0 -14 -4 -9 -9 0 -16 16 -30 26 -35 26 -272 0 -256 -32 | +| 44 | SeidelBoust:Alt | AntiDiag | missing | 1 0 1 -1 0 -1 5 -1 0 0 -5 2 61 -5 4 -2 0 -61 10 -2 1385 -61 56 -14 0 0 -1385 122 -46 16 50521 -1385 | +| 45 | SeidelBoust:Alt | Diffx1 | missing | 1 0 -2 1 -2 0 0 -2 6 -8 5 -10 12 -8 0 0 -10 30 -56 80 -96 61 -122 168 -184 160 -96 0 0 -122 366 | +| 46 | SeidelBoust:Alt | RowSum | missing | 1 -1 0 -1 2 -9 26 -149 618 -4277 23122 -188457 1257154 -11812705 93774138 -998765725 9196373210 | +| 47 | SeidelBoust:Alt | EvenSum | missing | 1 0 1 2 9 26 149 618 4277 23122 188457 1257154 11812705 93774138 998765725 9196373210 109530858093 | +| 48 | SeidelBoust:Alt | OddSum | missing | 0 -1 -1 -3 -7 -35 -123 -767 -3659 -27399 -165335 -1445611 -10555551 -105586843 -904991587 | +| 49 | SeidelBoust:Alt | AltSum | B000111 | 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 50 | SeidelBoust:Alt | DiagSum | missing | 1 0 0 -1 4 -3 58 -53 1366 -1293 50298 -48745 2698054 -2643321 199196506 -196340237 19382936806 | +| 51 | SeidelBoust:Alt | AccSum | missing | 1 -1 1 -1 13 -11 221 -185 6449 -5363 286745 -237601 18077749 -14945227 1534621813 -1266693769 | +| 52 | SeidelBoust:Alt | AccRevSum | missing | 1 -2 -1 -4 -1 -52 -13 -1156 -269 -41684 -9281 -2212340 -477593 -162245348 -34235605 -15712323556 | +| 53 | SeidelBoust:Alt | RowLcm | missing | 1 1 1 2 20 560 314272 165389056 23981211622400 281812254093464320 122801591138088344632211198464 | +| 54 | SeidelBoust:Alt | RowGcd | A078315 | 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 55 | SeidelBoust:Alt | RowMax | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 56 | SeidelBoust:Alt | ColMiddle | missing | 1 0 -1 -1 4 10 -46 -178 1024 5296 -36976 -238816 1965664 15214480 -144361456 -1301989648 | +| 57 | SeidelBoust:Alt | CentralE | A000657 | 1 -1 4 -46 1024 -36976 1965664 -144361456 13997185024 -1731678144256 266182076161024 | +| 58 | SeidelBoust:Alt | CentralO | A240561 | 0 -1 10 -178 5296 -238816 15214480 -1301989648 144118832896 -20040052293376 3419989086092800 | +| 59 | SeidelBoust:Alt | ColLeft | A122045 | 1 0 1 0 5 0 61 0 1385 0 50521 0 2702765 0 199360981 0 19391512145 0 2404879675441 0 370371188237525 | +| 60 | SeidelBoust:Alt | ColRight | A009006 | 1 -1 0 -2 0 -16 0 -272 0 -7936 0 -353792 0 -22368256 0 -1903757312 0 -209865342976 0 | +| 61 | SeidelBoust:Alt | InvBinConv | A001586 | 1 -1 3 -11 57 -361 2763 -24611 250737 -2873041 36581523 -512343611 7828053417 -129570724921 | +| 62 | SeidelBoust:Alt | TransNat0 | missing | 0 -1 -1 -3 -3 -43 -39 -1007 -887 -37407 -32403 -2023883 -1734747 -150432643 -128009743 -14713557831 | +| 63 | SeidelBoust:Alt | TransNat1 | missing | 1 -2 -1 -4 -1 -52 -13 -1156 -269 -41684 -9281 -2212340 -477593 -162245348 -34235605 -15712323556 | +| 64 | SeidelBoust:Alt | TransSqrs | missing | 0 -1 -1 -11 -7 -235 -139 -7527 -4267 -354543 -195975 -23236083 -12629983 -2028328931 -1089380787 | +| 65 | SeidelBoust:Alt | PosHalf | missing | 1 -1 2 -2 52 -40 2576 -1808 235168 -159424 34382720 -23039744 7364990464 -4917449728 2174275241984 | +| 66 | SeidelBoust:Alt | NegHalf | missing | 1 -1 6 -10 140 -264 7280 -14288 680544 -1353152 100760704 -201167616 21738715648 -43455063040 | +| 67 | SeidelBoust:Alt | DiagRow1 | missing | 0 -1 2 -2 16 -16 272 -272 7936 -7936 353792 -353792 22368256 -22368256 1903757312 -1903757312 | +| 68 | SeidelBoust:Alt | DiagRow2 | missing | 1 -1 4 -14 32 -256 544 -7664 15872 -345856 707584 -22014464 44736512 -1881389056 3807514624 | +| 69 | SeidelBoust:Alt | DiagRow3 | missing | 0 -5 10 -46 224 -800 7120 -23536 329984 -1053440 21306880 -66750976 1836652544 -5688903680 | +| 70 | SeidelBoust:Alt | DiagCol1 | A241209 | -1 -1 -1 -5 -5 -61 -61 -1385 -1385 -50521 -50521 -2702765 -2702765 -199360981 -199360981 | +| 71 | SeidelBoust:Alt | DiagCol2 | missing | 0 2 4 10 56 122 1324 2770 49136 101042 2652244 5405530 196658216 398721962 19192151164 38783024290 | +| 72 | SeidelBoust:Alt | DiagCol3 | missing | -2 -2 -14 -46 -178 -1202 -4094 -46366 -150178 -2551202 -8057774 -191252686 -595380178 -18793429202 | +| 73 | SeidelBoust:Alt | Poly | missing | 1 0 1 1 -1 1 0 0 -2 1 5 -1 -1 -3 1 0 2 -10 -2 -4 1 61 -9 -5 -39 -3 -5 1 0 26 -338 -28 -100 -4 -6 1 | +| 74 | SeidelBoust:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | SeidelBoust:Alt | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 76 | SeidelBoust:Alt | PolyRow3 | A059722 | 0 -1 -10 -39 -100 -205 -366 -595 -904 -1305 -1810 -2431 -3180 -4069 -5110 -6315 -7696 -9265 -11034 | +| 77 | SeidelBoust:Alt | PolyCol2 | missing | 1 -2 -1 -10 -5 -338 -205 -23074 -14921 -2698874 -1782409 -481855738 -320336237 -121946944610 | +| 78 | SeidelBoust:Alt | PolyCol3 | missing | 1 -3 -2 -39 -28 -2895 -2156 -444531 -333052 -116903427 -87664940 -46939144863 -35203682956 | +| 79 | SeidelBoust:Alt | PolyDiag | missing | 1 -1 -1 -39 -79 -41525 -91169 -195823439 -450379487 -2766164252589 -6556820787089 | +| 80 | SeidelBoust:Rev | Triangle | A108040 | 1 1 0 0 1 1 2 2 1 0 0 2 4 5 5 16 16 14 10 5 0 0 16 32 46 56 61 61 272 272 256 224 178 122 61 0 0 | +| 81 | SeidelBoust:Rev | Acc | missing | 1 1 1 0 1 2 2 4 5 5 0 2 6 11 16 16 32 46 56 61 61 0 16 48 94 150 211 272 272 544 800 1024 1202 1324 | +| 82 | SeidelBoust:Rev | AccRev | missing | 1 0 1 1 2 2 0 1 3 5 5 10 14 16 16 0 5 15 29 45 61 61 122 178 224 256 272 272 0 61 183 361 585 841 | +| 83 | SeidelBoust:Rev | AntiDiag | missing | 1 1 0 0 2 1 0 2 1 16 2 1 0 16 4 0 272 16 14 5 0 272 32 10 5 7936 272 256 46 5 0 7936 544 224 56 0 | +| 84 | SeidelBoust:Rev | Diffx1 | missing | 1 1 0 0 2 3 2 4 3 0 0 4 12 20 25 16 32 42 40 25 0 0 32 96 184 280 366 427 272 544 768 896 890 732 | +| 85 | SeidelBoust:Rev | RowSum | B000111 | 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 86 | SeidelBoust:Rev | EvenSum | missing | 1 1 1 3 9 35 149 767 4277 27399 188457 1445611 11812705 105586843 998765725 10195138935 | +| 87 | SeidelBoust:Rev | OddSum | missing | 0 0 1 2 7 26 123 618 3659 23122 165335 1257154 10555551 93774138 904991587 9196373210 100334484883 | +| 88 | SeidelBoust:Rev | AltSum | missing | 1 1 0 1 2 9 26 149 618 4277 23122 188457 1257154 11812705 93774138 998765725 9196373210 | +| 89 | SeidelBoust:Rev | DiagSum | missing | 1 1 0 3 3 19 20 307 319 8515 8760 370431 377991 23099023 23443100 1949542375 1971506347 | +| 90 | SeidelBoust:Rev | AccSum | missing | 1 2 3 16 35 272 791 7936 28839 353792 1542739 22368256 113794603 1903757312 11068604847 | +| 91 | SeidelBoust:Rev | AccRevSum | missing | 1 1 5 9 61 155 1385 4529 50521 201939 2702765 12767689 199360981 1086657403 19391512145 | +| 92 | SeidelBoust:Rev | RowLcm | missing | 1 1 1 2 20 560 314272 165389056 23981211622400 281812254093464320 122801591138088344632211198464 | +| 93 | SeidelBoust:Rev | RowGcd | A078315 | 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 94 | SeidelBoust:Rev | RowMax | A000111 | 1 1 1 2 5 16 61 272 1385 7936 50521 353792 2702765 22368256 199360981 1903757312 19391512145 | +| 95 | SeidelBoust:Rev | ColMiddle | A005437 | 1 1 1 2 4 14 46 224 1024 6320 36976 275792 1965664 17180144 144361456 1446351104 13997185024 | +| 96 | SeidelBoust:Rev | CentralE | A000657 | 1 1 4 46 1024 36976 1965664 144361456 13997185024 1731678144256 266182076161024 49763143319190016 | +| 97 | SeidelBoust:Rev | CentralO | missing | 1 2 14 224 6320 275792 17180144 1446351104 158116017920 21771730437632 3686171162253824 | +| 98 | SeidelBoust:Rev | ColLeft | A009006 | 1 1 0 2 0 16 0 272 0 7936 0 353792 0 22368256 0 1903757312 0 209865342976 0 29088885112832 0 | +| 99 | SeidelBoust:Rev | ColRight | A122045 | 1 0 1 0 5 0 61 0 1385 0 50521 0 2702765 0 199360981 0 19391512145 0 2404879675441 0 370371188237525 | +| 100 | SeidelBoust:Rev | BinConv | A001586 | 1 1 3 11 57 361 2763 24611 250737 2873041 36581523 512343611 7828053417 129570724921 2309644635483 | +| 101 | SeidelBoust:Rev | TransNat0 | missing | 0 0 3 4 45 94 1113 3144 42585 151418 2348973 10064924 176992725 887296422 17487754833 100398851344 | +| 102 | SeidelBoust:Rev | TransNat1 | missing | 1 1 5 9 61 155 1385 4529 50521 201939 2702765 12767689 199360981 1086657403 19391512145 | +| 103 | SeidelBoust:Rev | TransSqrs | missing | 0 0 5 6 143 242 5175 11406 260251 707946 17780875 57580966 1597600119 6002999922 183309947855 | +| 104 | SeidelBoust:Rev | PosHalf | missing | 1 2 3 26 47 930 1799 66034 130683 7865098 15679675 1417772682 2832842599 360815821106 721432281231 | +| 105 | SeidelBoust:Rev | NegHalf | missing | 1 -2 -1 -10 -5 -338 -205 -23074 -14921 -2698874 -1782409 -481855738 -320336237 -121946944610 | +| 106 | SeidelBoust:Rev | DiagRow1 | A241209 | 1 1 1 5 5 61 61 1385 1385 50521 50521 2702765 2702765 199360981 199360981 19391512145 19391512145 | +| 107 | SeidelBoust:Rev | DiagRow2 | missing | 0 2 4 10 56 122 1324 2770 49136 101042 2652244 5405530 196658216 398721962 19192151164 38783024290 | +| 108 | SeidelBoust:Rev | DiagRow3 | missing | 2 2 14 46 178 1202 4094 46366 150178 2551202 8057774 191252686 595380178 18793429202 57975175454 | +| 109 | SeidelBoust:Rev | DiagCol1 | missing | 0 1 2 2 16 16 272 272 7936 7936 353792 353792 22368256 22368256 1903757312 1903757312 209865342976 | +| 110 | SeidelBoust:Rev | DiagCol2 | missing | 1 1 4 14 32 256 544 7664 15872 345856 707584 22014464 44736512 1881389056 3807514624 207961585664 | +| 111 | SeidelBoust:Rev | DiagCol3 | missing | 0 5 10 46 224 800 7120 23536 329984 1053440 21306880 66750976 1836652544 5688903680 204154071040 | +| 112 | SeidelBoust:Rev | Poly | missing | 1 1 1 0 1 1 2 2 1 1 0 5 6 1 1 16 16 10 12 1 1 0 61 140 17 20 1 1 272 272 264 582 26 30 1 1 0 1385 | +| 113 | SeidelBoust:Rev | PolyRow2 | A002378 | 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | +| 114 | SeidelBoust:Rev | PolyRow3 | B002522 | 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 115 | SeidelBoust:Rev | PolyCol2 | missing | 1 1 6 10 140 264 7280 14288 680544 1353152 100760704 201167616 21738715648 43455063040 | +| 116 | SeidelBoust:Rev | PolyCol3 | missing | 1 1 12 17 582 865 65406 97973 13483518 20221309 4444489830 6666557849 2144540364774 3216799363033 | +| 117 | SeidelBoust:Rev | PolyDiag | missing | 1 1 6 17 1672 4821 3404112 9745973 26532106368 75404331817 561154561362560 1585130919126105 | \ No newline at end of file diff --git a/data/md/Sierpinski.md b/data/md/Sierpinski.md index d7a8c56..033eeee 100644 --- a/data/md/Sierpinski.md +++ b/data/md/Sierpinski.md @@ -38,76 +38,114 @@ | 35 | Sierpinski:Std | PolyCol2 | A001317 | 1 3 5 15 17 51 85 255 257 771 1285 3855 4369 13107 21845 65535 65537 196611 327685 983055 1114129 | | 36 | Sierpinski:Std | PolyCol3 | A100307 | 1 4 10 40 82 328 820 3280 6562 26248 65620 262480 538084 2152336 5380840 21523360 43046722 | | 37 | Sierpinski:Std | PolyDiag | missing | 1 2 5 40 257 3756 47989 960800 16777217 430467220 10100000101 313821403248 8916530450689 | -| 38 | Sierpinski:Inv | Triangle | A047999 | 1 -1 1 -1 0 1 1 -1 -1 1 -1 0 0 0 1 1 -1 0 0 -1 1 1 0 -1 0 -1 0 1 -1 1 1 -1 1 -1 -1 1 -1 0 0 0 0 0 0 | -| 39 | Sierpinski:Inv | Rev | A047999 | 1 1 -1 1 0 -1 1 -1 -1 1 1 0 0 0 -1 1 -1 0 0 -1 1 1 0 -1 0 -1 0 1 1 -1 -1 1 -1 1 1 -1 1 0 0 0 0 0 0 | -| 40 | Sierpinski:Inv | RevInv | A047999 | 1 1 1 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 | -| 41 | Sierpinski:Inv | InvRev | missing | 1 -1 1 -1 0 1 -3 1 1 1 -1 0 0 0 1 -3 1 0 0 1 1 -3 0 1 0 1 0 1 5 -1 -1 -1 -1 -1 -1 1 -1 0 0 0 0 0 0 | -| 42 | Sierpinski:Inv | Acc | A054521 | 1 -1 0 -1 -1 0 1 0 -1 0 -1 -1 -1 -1 0 1 0 0 0 -1 0 1 1 0 0 -1 -1 0 -1 0 1 0 1 0 -1 0 -1 -1 -1 -1 -1 | -| 43 | Sierpinski:Inv | AccRev | A054521 | 1 1 0 1 1 0 1 0 -1 0 1 1 1 1 0 1 0 0 0 -1 0 1 1 0 0 -1 -1 0 1 0 -1 0 -1 0 1 0 1 1 1 1 1 1 1 1 0 1 0 | -| 44 | Sierpinski:Inv | AntiDiag | missing | 1 -1 -1 1 1 0 -1 -1 1 1 0 -1 1 -1 0 1 -1 0 0 0 -1 1 -1 0 1 1 0 1 0 -1 1 -1 0 -1 -1 1 -1 0 0 0 1 0 1 | -| 45 | Sierpinski:Inv | Diffx1 | missing | 1 -1 2 -1 0 3 1 -2 -3 4 -1 0 0 0 5 1 -2 0 0 -5 6 1 0 -3 0 -5 0 7 -1 2 3 -4 5 -6 -7 8 -1 0 0 0 0 0 0 | -| 46 | Sierpinski:Inv | EvenSum | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 47 | Sierpinski:Inv | OddSum | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 48 | Sierpinski:Inv | AltSum | A130706 | 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 49 | Sierpinski:Inv | DiagSum | A000484 | 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 | -| 50 | Sierpinski:Inv | AccSum | A087263 | 1 -1 -2 0 -4 0 0 0 -8 0 0 0 0 0 0 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 51 | Sierpinski:Inv | AccRevSum | A087263 | 1 1 2 0 4 0 0 0 8 0 0 0 0 0 0 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 52 | Sierpinski:Inv | ColMiddle | A036987 | 1 -1 0 -1 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 | -| 53 | Sierpinski:Inv | CentralO | A036987 | -1 -1 0 -1 0 0 0 -1 0 0 0 0 0 0 0 -1 | -| 54 | Sierpinski:Inv | BinConv | missing | 1 0 0 -4 0 -8 -28 0 0 -16 -88 0 -988 0 0 1088 0 -32 -304 0 -9688 0 0 -235840 -1470940 0 0 -4264624 | -| 55 | Sierpinski:Inv | InvBinConv | missing | 1 2 0 0 0 0 -28 -96 0 0 -88 -416 -988 -3976 0 0 0 0 -304 -2240 -9688 -52624 0 0 -1470940 -6249048 0 | -| 56 | Sierpinski:Inv | TransNat0 | A048298 | 0 1 2 0 4 0 0 0 8 0 0 0 0 0 0 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 57 | Sierpinski:Inv | TransNat1 | A087263 | 1 1 2 0 4 0 0 0 8 0 0 0 0 0 0 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 58 | Sierpinski:Inv | TransSqrs | missing | 0 1 4 4 16 8 16 0 64 16 32 0 64 0 0 0 256 32 64 0 128 0 0 0 256 0 0 0 0 0 0 0 | -| 59 | Sierpinski:Inv | PosHalf | A100735 | 1 -1 -3 3 -15 15 45 -45 -255 255 765 -765 3825 -3825 -11475 11475 -65535 65535 196605 -196605 | -| 60 | Sierpinski:Inv | NegHalf | A100744 | 1 3 -3 -9 -15 -45 45 135 -255 -765 765 2295 3825 11475 -11475 -34425 -65535 -196605 196605 589815 | -| 61 | Sierpinski:Inv | DiagRow1 | A014581 | -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 | -| 62 | Sierpinski:Inv | DiagRow2 | A128130 | -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 | -| 63 | Sierpinski:Inv | DiagRow3 | A014017 | 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 | -| 64 | Sierpinski:Inv | DiagCol1 | A014581 | 1 0 -1 0 -1 0 1 0 -1 0 1 0 1 0 -1 0 -1 0 1 0 1 0 -1 0 1 0 -1 0 -1 0 1 0 | -| 65 | Sierpinski:Inv | DiagCol2 | A128130 | 1 -1 0 0 -1 1 0 0 -1 1 0 0 1 -1 0 0 -1 1 0 0 1 -1 0 0 1 -1 0 0 -1 1 0 0 | -| 66 | Sierpinski:Inv | DiagCol3 | A014017 | 1 0 0 0 -1 0 0 0 -1 0 0 0 1 0 0 0 -1 0 0 0 1 0 0 0 1 0 0 0 -1 0 0 0 | -| 67 | Sierpinski:Inv | Poly | A107889 | 1 -1 1 -1 0 1 1 0 1 1 -1 0 3 2 1 1 0 3 8 3 1 1 0 15 16 15 4 1 -1 0 15 80 45 24 5 1 -1 0 45 160 255 | -| 68 | Sierpinski:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | -| 69 | Sierpinski:Inv | PolyRow2 | A131386 | -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | -| 70 | Sierpinski:Inv | PolyRow3 | A152618 | 1 0 3 16 45 96 175 288 441 640 891 1200 1573 2016 2535 3136 3825 4608 5491 6480 7581 8800 10143 | -| 71 | Sierpinski:Inv | PolyCol2 | A100735 | 1 1 3 3 15 15 45 45 255 255 765 765 3825 3825 11475 11475 65535 65535 196605 196605 983025 983025 | -| 72 | Sierpinski:Inv | PolyCol3 | A100736 | 1 2 8 16 80 160 640 1280 6560 13120 52480 104960 524800 1049600 4198400 8396800 43046720 86093440 | -| 73 | Sierpinski:Inv | PolyDiag | missing | 1 0 3 16 255 2496 45325 691200 16777215 344373760 9899999901 257230656000 8915670445825 | -| 74 | Sierpinski:Inv:Rev | Triangle | A047999 | 1 1 -1 1 0 -1 1 -1 -1 1 1 0 0 0 -1 1 -1 0 0 -1 1 1 0 -1 0 -1 0 1 1 -1 -1 1 -1 1 1 -1 1 0 0 0 0 0 0 | -| 75 | Sierpinski:Inv:Rev | Rev | A047999 | 1 -1 1 -1 0 1 1 -1 -1 1 -1 0 0 0 1 1 -1 0 0 -1 1 1 0 -1 0 -1 0 1 -1 1 1 -1 1 -1 -1 1 -1 0 0 0 0 0 0 | -| 76 | Sierpinski:Inv:Rev | Inv | missing | 1 -1 1 -1 0 1 -3 1 1 1 -1 0 0 0 1 -3 1 0 0 1 1 -3 0 1 0 1 0 1 5 -1 -1 -1 -1 -1 -1 1 -1 0 0 0 0 0 0 | -| 77 | Sierpinski:Inv:Rev | RevInv | missing | 1 1 -1 1 0 -1 1 1 1 -3 1 0 0 0 -1 1 1 0 0 1 -3 1 0 1 0 1 0 -3 1 -1 -1 -1 -1 -1 -1 5 1 0 0 0 0 0 0 0 | -| 78 | Sierpinski:Inv:Rev | InvRev | A047999 | 1 1 1 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 | -| 79 | Sierpinski:Inv:Rev | Acc | A054521 | 1 1 0 1 1 0 1 0 -1 0 1 1 1 1 0 1 0 0 0 -1 0 1 1 0 0 -1 -1 0 1 0 -1 0 -1 0 1 0 1 1 1 1 1 1 1 1 0 1 0 | -| 80 | Sierpinski:Inv:Rev | AccRev | A054521 | 1 -1 0 -1 -1 0 1 0 -1 0 -1 -1 -1 -1 0 1 0 0 0 -1 0 1 1 0 0 -1 -1 0 -1 0 1 0 1 0 -1 0 -1 -1 -1 -1 -1 | -| 81 | Sierpinski:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 0 1 -1 -1 1 0 -1 1 -1 0 1 1 0 0 0 1 -1 -1 0 -1 1 0 -1 0 -1 1 -1 0 1 -1 1 1 0 0 0 -1 0 1 | -| 82 | Sierpinski:Inv:Rev | Diffx1 | missing | 1 1 -2 1 0 -3 1 -2 -3 4 1 0 0 0 -5 1 -2 0 0 -5 6 1 0 -3 0 -5 0 7 1 -2 -3 4 -5 6 7 -8 1 0 0 0 0 0 0 | -| 83 | Sierpinski:Inv:Rev | EvenSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 84 | Sierpinski:Inv:Rev | OddSum | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 85 | Sierpinski:Inv:Rev | AltSum | A130706 | 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 86 | Sierpinski:Inv:Rev | DiagSum | B005590 | 1 1 0 1 -1 0 1 1 -2 -1 1 0 1 1 0 1 -3 -2 1 -1 2 1 -1 0 1 1 0 1 -1 0 1 1 | -| 87 | Sierpinski:Inv:Rev | AccSum | A087263 | 1 1 2 0 4 0 0 0 8 0 0 0 0 0 0 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 88 | Sierpinski:Inv:Rev | AccRevSum | A087263 | 1 -1 -2 0 -4 0 0 0 -8 0 0 0 0 0 0 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 89 | Sierpinski:Inv:Rev | ColMiddle | A036987 | 1 1 0 -1 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | -| 90 | Sierpinski:Inv:Rev | CentralO | A036987 | 1 -1 0 1 0 0 0 -1 0 0 0 0 0 0 0 1 | -| 91 | Sierpinski:Inv:Rev | BinConv | missing | 1 0 0 -4 0 -8 -28 0 0 -16 -88 0 -988 0 0 1088 0 -32 -304 0 -9688 0 0 -235840 -1470940 0 0 -4264624 | -| 92 | Sierpinski:Inv:Rev | InvBinConv | missing | 1 -2 0 0 0 0 -28 96 0 0 -88 416 -988 3976 0 0 0 0 -304 2240 -9688 52624 0 0 -1470940 6249048 0 0 0 | -| 93 | Sierpinski:Inv:Rev | TransNat0 | A048298 | 0 -1 -2 0 -4 0 0 0 -8 0 0 0 0 0 0 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 94 | Sierpinski:Inv:Rev | TransNat1 | A087263 | 1 -1 -2 0 -4 0 0 0 -8 0 0 0 0 0 0 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 95 | Sierpinski:Inv:Rev | TransSqrs | missing | 0 -1 -4 4 -16 8 16 0 -64 16 32 0 64 0 0 0 -256 32 64 0 128 0 0 0 256 0 0 0 0 0 0 0 | -| 96 | Sierpinski:Inv:Rev | PosHalf | A100735 | 1 1 3 3 15 15 45 45 255 255 765 765 3825 3825 11475 11475 65535 65535 196605 196605 983025 983025 | -| 97 | Sierpinski:Inv:Rev | NegHalf | A100744 | 1 -3 3 -9 15 -45 45 -135 255 -765 765 -2295 3825 -11475 11475 -34425 65535 -196605 196605 -589815 | -| 98 | Sierpinski:Inv:Rev | DiagRow1 | A014581 | 1 0 -1 0 -1 0 1 0 -1 0 1 0 1 0 -1 0 -1 0 1 0 1 0 -1 0 1 0 -1 0 -1 0 1 0 | -| 99 | Sierpinski:Inv:Rev | DiagRow2 | A128130 | 1 -1 0 0 -1 1 0 0 -1 1 0 0 1 -1 0 0 -1 1 0 0 1 -1 0 0 1 -1 0 0 -1 1 0 0 | -| 100 | Sierpinski:Inv:Rev | DiagRow3 | A014017 | 1 0 0 0 -1 0 0 0 -1 0 0 0 1 0 0 0 -1 0 0 0 1 0 0 0 1 0 0 0 -1 0 0 0 | -| 101 | Sierpinski:Inv:Rev | DiagCol1 | A014581 | -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 | -| 102 | Sierpinski:Inv:Rev | DiagCol2 | A128130 | -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 | -| 103 | Sierpinski:Inv:Rev | DiagCol3 | A014017 | 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 | -| 104 | Sierpinski:Inv:Rev | Poly | A107889 | 1 1 1 1 0 1 1 0 -1 1 1 0 -3 -2 1 1 0 3 -8 -3 1 1 0 -15 16 -15 -4 1 1 0 15 -80 45 -24 -5 1 1 0 45 | -| 105 | Sierpinski:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 106 | Sierpinski:Inv:Rev | PolyRow2 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | -| 107 | Sierpinski:Inv:Rev | PolyRow3 | A152618 | 1 0 3 16 45 96 175 288 441 640 891 1200 1573 2016 2535 3136 3825 4608 5491 6480 7581 8800 10143 | -| 108 | Sierpinski:Inv:Rev | PolyCol2 | A100735 | 1 -1 -3 3 -15 15 45 -45 -255 255 765 -765 3825 -3825 -11475 11475 -65535 65535 196605 -196605 | -| 109 | Sierpinski:Inv:Rev | PolyCol3 | A100736 | 1 -2 -8 16 -80 160 640 -1280 -6560 13120 52480 -104960 524800 -1049600 -4198400 8396800 -43046720 | -| 110 | Sierpinski:Inv:Rev | PolyDiag | missing | 1 0 -3 16 -255 2496 45325 -691200 -16777215 344373760 9899999901 -257230656000 8915670445825 | \ No newline at end of file +| 38 | Sierpinski:Alt | Triangle | A047999 | 1 1 -1 1 0 1 1 -1 1 -1 1 0 0 0 1 1 -1 0 0 1 -1 1 0 1 0 1 0 1 1 -1 1 -1 1 -1 1 -1 1 0 0 0 0 0 0 0 1 | +| 39 | Sierpinski:Alt | Rev | A047999 | 1 -1 1 1 0 1 -1 1 -1 1 1 0 0 0 1 -1 1 0 0 -1 1 1 0 1 0 1 0 1 -1 1 -1 1 -1 1 -1 1 1 0 0 0 0 0 0 0 1 | +| 40 | Sierpinski:Alt | Inv | A047999 | 1 -1 1 -1 0 1 -1 1 -1 1 -1 0 0 0 1 -1 1 0 0 -1 1 1 0 -1 0 -1 0 1 -3 3 -1 1 -1 1 -1 1 -1 0 0 0 0 0 0 | +| 41 | Sierpinski:Alt | RevInv | A047999 | 1 1 -1 1 0 -1 1 -1 1 -1 1 0 0 0 -1 1 -1 0 0 1 -1 1 0 -1 0 -1 0 1 1 -1 1 -1 1 -1 3 -3 1 0 0 0 0 0 0 | +| 42 | Sierpinski:Alt | InvRev | A047999 | 1 1 1 -1 0 1 -1 -1 1 1 -1 0 0 0 1 -1 -1 0 0 1 1 1 0 -1 0 -1 0 1 1 1 -1 -1 -1 -1 1 1 -1 0 0 0 0 0 0 | +| 43 | Sierpinski:Alt | Acc | missing | 1 1 0 1 1 2 1 0 1 0 1 1 1 1 2 1 0 0 0 1 0 1 1 2 2 3 3 4 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 2 1 0 0 0 0 | +| 44 | Sierpinski:Alt | AccRev | missing | 1 -1 0 1 1 2 -1 0 -1 0 1 1 1 1 2 -1 0 0 0 -1 0 1 1 2 2 3 3 4 -1 0 -1 0 -1 0 -1 0 1 1 1 1 1 1 1 1 2 | +| 45 | Sierpinski:Alt | AntiDiag | missing | 1 1 1 -1 1 0 1 -1 1 1 0 1 1 -1 0 -1 1 0 0 0 1 -1 1 0 1 1 0 1 0 1 1 -1 0 -1 1 -1 1 0 0 0 1 0 1 -1 1 | +| 46 | Sierpinski:Alt | Diffx1 | missing | 1 1 -2 1 0 3 1 -2 3 -4 1 0 0 0 5 1 -2 0 0 5 -6 1 0 3 0 5 0 7 1 -2 3 -4 5 -6 7 -8 1 0 0 0 0 0 0 0 9 | +| 47 | Sierpinski:Alt | RowSum | missing | 1 0 2 0 2 0 4 0 2 0 4 0 4 0 8 0 2 0 4 0 4 0 8 0 4 0 8 0 8 0 16 0 | +| 48 | Sierpinski:Alt | EvenSum | A060632 | 1 1 2 2 2 2 4 4 2 2 4 4 4 4 8 8 2 2 4 4 4 4 8 8 4 4 8 8 8 8 16 16 | +| 49 | Sierpinski:Alt | OddSum | missing | 0 -1 0 -2 0 -2 0 -4 0 -2 0 -4 0 -4 0 -8 0 -2 0 -4 0 -4 0 -8 0 -4 0 -8 0 -8 0 -16 | +| 50 | Sierpinski:Alt | AltSum | A001316 | 1 2 2 4 2 4 4 8 2 4 4 8 4 8 8 16 2 4 4 8 4 8 8 16 4 8 8 16 8 16 16 32 | +| 51 | Sierpinski:Alt | DiagSum | missing | 1 1 0 1 1 2 -1 1 2 3 -1 2 1 3 -2 1 3 4 -1 3 2 5 -3 2 3 5 -2 3 1 4 -3 1 | +| 52 | Sierpinski:Alt | AccSum | missing | 1 1 4 2 6 2 16 4 10 2 24 4 28 4 64 8 18 2 40 4 44 4 96 8 52 4 112 8 120 8 256 16 | +| 53 | Sierpinski:Alt | AccRevSum | missing | 1 -1 4 -2 6 -2 16 -4 10 -2 24 -4 28 -4 64 -8 18 -2 40 -4 44 -4 96 -8 52 -4 112 -8 120 -8 256 -16 | +| 54 | Sierpinski:Alt | ColMiddle | A036987 | 1 1 0 -1 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 | +| 55 | Sierpinski:Alt | CentralO | A036987 | 1 -1 0 -1 0 0 0 -1 0 0 0 0 0 0 0 -1 | +| 56 | Sierpinski:Alt | BinConv | missing | 1 0 2 0 2 0 32 0 2 0 92 0 992 0 8192 0 2 0 308 0 9692 0 164320 0 1470944 0 13748672 0 67100672 0 | +| 57 | Sierpinski:Alt | InvBinConv | A088560 | 1 -2 2 -8 2 -12 32 -128 2 -20 92 -464 992 -4032 8192 -32768 2 -36 308 -2320 9692 -52712 164320 | +| 58 | Sierpinski:Alt | TransNat0 | missing | 0 -1 2 -2 4 -2 12 -4 8 -2 20 -4 24 -4 56 -8 16 -2 36 -4 40 -4 88 -8 48 -4 104 -8 112 -8 240 -16 | +| 59 | Sierpinski:Alt | TransNat1 | missing | 1 -1 4 -2 6 -2 16 -4 10 -2 24 -4 28 -4 64 -8 18 -2 40 -4 44 -4 96 -8 52 -4 112 -8 120 -8 256 -16 | +| 60 | Sierpinski:Alt | TransSqrs | missing | 0 -1 4 -6 16 -10 56 -28 64 -18 168 -44 224 -52 560 -120 256 -34 584 -76 672 -84 1520 -184 896 -100 | +| 61 | Sierpinski:Alt | PosHalf | missing | 1 1 5 5 17 17 85 85 257 257 1285 1285 4369 4369 21845 21845 65537 65537 327685 327685 1114129 | +| 62 | Sierpinski:Alt | NegHalf | A001317 | 1 -3 5 -15 17 -51 85 -255 257 -771 1285 -3855 4369 -13107 21845 -65535 65537 -196611 327685 -983055 | +| 63 | Sierpinski:Alt | DiagRow1 | A014581 | 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 | +| 64 | Sierpinski:Alt | DiagRow2 | A128130 | 1 -1 0 0 1 -1 0 0 1 -1 0 0 1 -1 0 0 1 -1 0 0 1 -1 0 0 1 -1 0 0 1 -1 0 0 | +| 65 | Sierpinski:Alt | DiagRow3 | A014017 | 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 | +| 66 | Sierpinski:Alt | DiagCol1 | A014581 | -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 | +| 67 | Sierpinski:Alt | DiagCol2 | A128130 | 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 | +| 68 | Sierpinski:Alt | DiagCol3 | A014017 | -1 0 0 0 -1 0 0 0 -1 0 0 0 -1 0 0 0 -1 0 0 0 -1 0 0 0 -1 0 0 0 -1 0 0 0 | +| 69 | Sierpinski:Alt | Poly | missing | 1 1 1 1 0 1 1 2 -1 1 1 0 5 -2 1 1 2 -5 10 -3 1 1 0 17 -20 17 -4 1 1 4 -17 82 -51 26 -5 1 1 0 85 | +| 70 | Sierpinski:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 71 | Sierpinski:Alt | PolyRow2 | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 72 | Sierpinski:Alt | PolyRow3 | A062158 | 1 0 -5 -20 -51 -104 -185 -300 -455 -656 -909 -1220 -1595 -2040 -2561 -3164 -3855 -4640 -5525 -6516 | +| 73 | Sierpinski:Alt | PolyCol2 | missing | 1 -1 5 -5 17 -17 85 -85 257 -257 1285 -1285 4369 -4369 21845 -21845 65537 -65537 327685 -327685 | +| 74 | Sierpinski:Alt | PolyCol3 | missing | 1 -2 10 -20 82 -164 820 -1640 6562 -13124 65620 -131240 538084 -1076168 5380840 -10761680 43046722 | +| 75 | Sierpinski:Alt | PolyDiag | missing | 1 0 5 -20 257 -2504 47989 -720600 16777217 -344373776 10100000101 -261517836040 8916530450689 | +| 76 | Sierpinski:Inv | Triangle | A047999 | 1 -1 1 -1 0 1 1 -1 -1 1 -1 0 0 0 1 1 -1 0 0 -1 1 1 0 -1 0 -1 0 1 -1 1 1 -1 1 -1 -1 1 -1 0 0 0 0 0 0 | +| 77 | Sierpinski:Inv | Rev | A047999 | 1 1 -1 1 0 -1 1 -1 -1 1 1 0 0 0 -1 1 -1 0 0 -1 1 1 0 -1 0 -1 0 1 1 -1 -1 1 -1 1 1 -1 1 0 0 0 0 0 0 | +| 78 | Sierpinski:Inv | RevInv | A047999 | 1 1 1 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 | +| 79 | Sierpinski:Inv | InvRev | missing | 1 -1 1 -1 0 1 -3 1 1 1 -1 0 0 0 1 -3 1 0 0 1 1 -3 0 1 0 1 0 1 5 -1 -1 -1 -1 -1 -1 1 -1 0 0 0 0 0 0 | +| 80 | Sierpinski:Inv | Acc | A054521 | 1 -1 0 -1 -1 0 1 0 -1 0 -1 -1 -1 -1 0 1 0 0 0 -1 0 1 1 0 0 -1 -1 0 -1 0 1 0 1 0 -1 0 -1 -1 -1 -1 -1 | +| 81 | Sierpinski:Inv | AccRev | A054521 | 1 1 0 1 1 0 1 0 -1 0 1 1 1 1 0 1 0 0 0 -1 0 1 1 0 0 -1 -1 0 1 0 -1 0 -1 0 1 0 1 1 1 1 1 1 1 1 0 1 0 | +| 82 | Sierpinski:Inv | AntiDiag | missing | 1 -1 -1 1 1 0 -1 -1 1 1 0 -1 1 -1 0 1 -1 0 0 0 -1 1 -1 0 1 1 0 1 0 -1 1 -1 0 -1 -1 1 -1 0 0 0 1 0 1 | +| 83 | Sierpinski:Inv | Diffx1 | missing | 1 -1 2 -1 0 3 1 -2 -3 4 -1 0 0 0 5 1 -2 0 0 -5 6 1 0 -3 0 -5 0 7 -1 2 3 -4 5 -6 -7 8 -1 0 0 0 0 0 0 | +| 84 | Sierpinski:Inv | EvenSum | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 85 | Sierpinski:Inv | OddSum | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 86 | Sierpinski:Inv | AltSum | A130706 | 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 87 | Sierpinski:Inv | DiagSum | A000484 | 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 | +| 88 | Sierpinski:Inv | AccSum | A087263 | 1 -1 -2 0 -4 0 0 0 -8 0 0 0 0 0 0 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 89 | Sierpinski:Inv | AccRevSum | A087263 | 1 1 2 0 4 0 0 0 8 0 0 0 0 0 0 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 90 | Sierpinski:Inv | ColMiddle | A036987 | 1 -1 0 -1 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 | +| 91 | Sierpinski:Inv | CentralO | A036987 | -1 -1 0 -1 0 0 0 -1 0 0 0 0 0 0 0 -1 | +| 92 | Sierpinski:Inv | BinConv | missing | 1 0 0 -4 0 -8 -28 0 0 -16 -88 0 -988 0 0 1088 0 -32 -304 0 -9688 0 0 -235840 -1470940 0 0 -4264624 | +| 93 | Sierpinski:Inv | InvBinConv | missing | 1 2 0 0 0 0 -28 -96 0 0 -88 -416 -988 -3976 0 0 0 0 -304 -2240 -9688 -52624 0 0 -1470940 -6249048 0 | +| 94 | Sierpinski:Inv | TransNat0 | A048298 | 0 1 2 0 4 0 0 0 8 0 0 0 0 0 0 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 95 | Sierpinski:Inv | TransNat1 | A087263 | 1 1 2 0 4 0 0 0 8 0 0 0 0 0 0 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 96 | Sierpinski:Inv | TransSqrs | missing | 0 1 4 4 16 8 16 0 64 16 32 0 64 0 0 0 256 32 64 0 128 0 0 0 256 0 0 0 0 0 0 0 | +| 97 | Sierpinski:Inv | PosHalf | A100735 | 1 -1 -3 3 -15 15 45 -45 -255 255 765 -765 3825 -3825 -11475 11475 -65535 65535 196605 -196605 | +| 98 | Sierpinski:Inv | NegHalf | A100744 | 1 3 -3 -9 -15 -45 45 135 -255 -765 765 2295 3825 11475 -11475 -34425 -65535 -196605 196605 589815 | +| 99 | Sierpinski:Inv | DiagRow1 | A014581 | -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 | +| 100 | Sierpinski:Inv | DiagRow2 | A128130 | -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 | +| 101 | Sierpinski:Inv | DiagRow3 | A014017 | 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 | +| 102 | Sierpinski:Inv | DiagCol1 | A014581 | 1 0 -1 0 -1 0 1 0 -1 0 1 0 1 0 -1 0 -1 0 1 0 1 0 -1 0 1 0 -1 0 -1 0 1 0 | +| 103 | Sierpinski:Inv | DiagCol2 | A128130 | 1 -1 0 0 -1 1 0 0 -1 1 0 0 1 -1 0 0 -1 1 0 0 1 -1 0 0 1 -1 0 0 -1 1 0 0 | +| 104 | Sierpinski:Inv | DiagCol3 | A014017 | 1 0 0 0 -1 0 0 0 -1 0 0 0 1 0 0 0 -1 0 0 0 1 0 0 0 1 0 0 0 -1 0 0 0 | +| 105 | Sierpinski:Inv | Poly | A107889 | 1 -1 1 -1 0 1 1 0 1 1 -1 0 3 2 1 1 0 3 8 3 1 1 0 15 16 15 4 1 -1 0 15 80 45 24 5 1 -1 0 45 160 255 | +| 106 | Sierpinski:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 107 | Sierpinski:Inv | PolyRow2 | A131386 | -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 728 | +| 108 | Sierpinski:Inv | PolyRow3 | A152618 | 1 0 3 16 45 96 175 288 441 640 891 1200 1573 2016 2535 3136 3825 4608 5491 6480 7581 8800 10143 | +| 109 | Sierpinski:Inv | PolyCol2 | A100735 | 1 1 3 3 15 15 45 45 255 255 765 765 3825 3825 11475 11475 65535 65535 196605 196605 983025 983025 | +| 110 | Sierpinski:Inv | PolyCol3 | A100736 | 1 2 8 16 80 160 640 1280 6560 13120 52480 104960 524800 1049600 4198400 8396800 43046720 86093440 | +| 111 | Sierpinski:Inv | PolyDiag | missing | 1 0 3 16 255 2496 45325 691200 16777215 344373760 9899999901 257230656000 8915670445825 | +| 112 | Sierpinski:Inv:Rev | Triangle | A047999 | 1 1 -1 1 0 -1 1 -1 -1 1 1 0 0 0 -1 1 -1 0 0 -1 1 1 0 -1 0 -1 0 1 1 -1 -1 1 -1 1 1 -1 1 0 0 0 0 0 0 | +| 113 | Sierpinski:Inv:Rev | Rev | A047999 | 1 -1 1 -1 0 1 1 -1 -1 1 -1 0 0 0 1 1 -1 0 0 -1 1 1 0 -1 0 -1 0 1 -1 1 1 -1 1 -1 -1 1 -1 0 0 0 0 0 0 | +| 114 | Sierpinski:Inv:Rev | Inv | missing | 1 -1 1 -1 0 1 -3 1 1 1 -1 0 0 0 1 -3 1 0 0 1 1 -3 0 1 0 1 0 1 5 -1 -1 -1 -1 -1 -1 1 -1 0 0 0 0 0 0 | +| 115 | Sierpinski:Inv:Rev | RevInv | missing | 1 1 -1 1 0 -1 1 1 1 -3 1 0 0 0 -1 1 1 0 0 1 -3 1 0 1 0 1 0 -3 1 -1 -1 -1 -1 -1 -1 5 1 0 0 0 0 0 0 0 | +| 116 | Sierpinski:Inv:Rev | InvRev | A047999 | 1 1 1 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 | +| 117 | Sierpinski:Inv:Rev | Acc | A054521 | 1 1 0 1 1 0 1 0 -1 0 1 1 1 1 0 1 0 0 0 -1 0 1 1 0 0 -1 -1 0 1 0 -1 0 -1 0 1 0 1 1 1 1 1 1 1 1 0 1 0 | +| 118 | Sierpinski:Inv:Rev | AccRev | A054521 | 1 -1 0 -1 -1 0 1 0 -1 0 -1 -1 -1 -1 0 1 0 0 0 -1 0 1 1 0 0 -1 -1 0 -1 0 1 0 1 0 -1 0 -1 -1 -1 -1 -1 | +| 119 | Sierpinski:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 0 1 -1 -1 1 0 -1 1 -1 0 1 1 0 0 0 1 -1 -1 0 -1 1 0 -1 0 -1 1 -1 0 1 -1 1 1 0 0 0 -1 0 1 | +| 120 | Sierpinski:Inv:Rev | Diffx1 | missing | 1 1 -2 1 0 -3 1 -2 -3 4 1 0 0 0 -5 1 -2 0 0 -5 6 1 0 -3 0 -5 0 7 1 -2 -3 4 -5 6 7 -8 1 0 0 0 0 0 0 | +| 121 | Sierpinski:Inv:Rev | EvenSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 122 | Sierpinski:Inv:Rev | OddSum | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 123 | Sierpinski:Inv:Rev | AltSum | A130706 | 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 124 | Sierpinski:Inv:Rev | DiagSum | B005590 | 1 1 0 1 -1 0 1 1 -2 -1 1 0 1 1 0 1 -3 -2 1 -1 2 1 -1 0 1 1 0 1 -1 0 1 1 | +| 125 | Sierpinski:Inv:Rev | AccSum | A087263 | 1 1 2 0 4 0 0 0 8 0 0 0 0 0 0 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 126 | Sierpinski:Inv:Rev | AccRevSum | A087263 | 1 -1 -2 0 -4 0 0 0 -8 0 0 0 0 0 0 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 127 | Sierpinski:Inv:Rev | ColMiddle | A036987 | 1 1 0 -1 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | +| 128 | Sierpinski:Inv:Rev | CentralO | A036987 | 1 -1 0 1 0 0 0 -1 0 0 0 0 0 0 0 1 | +| 129 | Sierpinski:Inv:Rev | BinConv | missing | 1 0 0 -4 0 -8 -28 0 0 -16 -88 0 -988 0 0 1088 0 -32 -304 0 -9688 0 0 -235840 -1470940 0 0 -4264624 | +| 130 | Sierpinski:Inv:Rev | InvBinConv | missing | 1 -2 0 0 0 0 -28 96 0 0 -88 416 -988 3976 0 0 0 0 -304 2240 -9688 52624 0 0 -1470940 6249048 0 0 0 | +| 131 | Sierpinski:Inv:Rev | TransNat0 | A048298 | 0 -1 -2 0 -4 0 0 0 -8 0 0 0 0 0 0 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 132 | Sierpinski:Inv:Rev | TransNat1 | A087263 | 1 -1 -2 0 -4 0 0 0 -8 0 0 0 0 0 0 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 133 | Sierpinski:Inv:Rev | TransSqrs | missing | 0 -1 -4 4 -16 8 16 0 -64 16 32 0 64 0 0 0 -256 32 64 0 128 0 0 0 256 0 0 0 0 0 0 0 | +| 134 | Sierpinski:Inv:Rev | PosHalf | A100735 | 1 1 3 3 15 15 45 45 255 255 765 765 3825 3825 11475 11475 65535 65535 196605 196605 983025 983025 | +| 135 | Sierpinski:Inv:Rev | NegHalf | A100744 | 1 -3 3 -9 15 -45 45 -135 255 -765 765 -2295 3825 -11475 11475 -34425 65535 -196605 196605 -589815 | +| 136 | Sierpinski:Inv:Rev | DiagRow1 | A014581 | 1 0 -1 0 -1 0 1 0 -1 0 1 0 1 0 -1 0 -1 0 1 0 1 0 -1 0 1 0 -1 0 -1 0 1 0 | +| 137 | Sierpinski:Inv:Rev | DiagRow2 | A128130 | 1 -1 0 0 -1 1 0 0 -1 1 0 0 1 -1 0 0 -1 1 0 0 1 -1 0 0 1 -1 0 0 -1 1 0 0 | +| 138 | Sierpinski:Inv:Rev | DiagRow3 | A014017 | 1 0 0 0 -1 0 0 0 -1 0 0 0 1 0 0 0 -1 0 0 0 1 0 0 0 1 0 0 0 -1 0 0 0 | +| 139 | Sierpinski:Inv:Rev | DiagCol1 | A014581 | -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 | +| 140 | Sierpinski:Inv:Rev | DiagCol2 | A128130 | -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 | +| 141 | Sierpinski:Inv:Rev | DiagCol3 | A014017 | 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 | +| 142 | Sierpinski:Inv:Rev | Poly | A107889 | 1 1 1 1 0 1 1 0 -1 1 1 0 -3 -2 1 1 0 3 -8 -3 1 1 0 -15 16 -15 -4 1 1 0 15 -80 45 -24 -5 1 1 0 45 | +| 143 | Sierpinski:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 144 | Sierpinski:Inv:Rev | PolyRow2 | A131386 | 1 0 -3 -8 -15 -24 -35 -48 -63 -80 -99 -120 -143 -168 -195 -224 -255 -288 -323 -360 -399 -440 -483 | +| 145 | Sierpinski:Inv:Rev | PolyRow3 | A152618 | 1 0 3 16 45 96 175 288 441 640 891 1200 1573 2016 2535 3136 3825 4608 5491 6480 7581 8800 10143 | +| 146 | Sierpinski:Inv:Rev | PolyCol2 | A100735 | 1 -1 -3 3 -15 15 45 -45 -255 255 765 -765 3825 -3825 -11475 11475 -65535 65535 196605 -196605 | +| 147 | Sierpinski:Inv:Rev | PolyCol3 | A100736 | 1 -2 -8 16 -80 160 640 -1280 -6560 13120 52480 -104960 524800 -1049600 -4198400 8396800 -43046720 | +| 148 | Sierpinski:Inv:Rev | PolyDiag | missing | 1 0 -3 16 -255 2496 45325 -691200 -16777215 344373760 9899999901 -257230656000 8915670445825 | \ No newline at end of file diff --git a/data/md/StirlingCyc.md b/data/md/StirlingCyc.md index 62c388f..18a878c 100644 --- a/data/md/StirlingCyc.md +++ b/data/md/StirlingCyc.md @@ -40,117 +40,157 @@ | 37 | StirlingCyc:Std | PolyCol2 | B000142 | 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000 | | 38 | StirlingCyc:Std | PolyCol3 | B001710 | 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 3113510400 43589145600 653837184000 | | 39 | StirlingCyc:Std | PolyDiag | A000407 | 1 1 6 60 840 15120 332640 8648640 259459200 8821612800 335221286400 14079294028800 647647525324800 | -| 40 | StirlingCyc:Rev | Triangle | A054654 | 1 1 0 1 1 0 1 3 2 0 1 6 11 6 0 1 10 35 50 24 0 1 15 85 225 274 120 0 1 21 175 735 1624 1764 720 0 1 | -| 41 | StirlingCyc:Rev | InvRev | A048993 | 1 0 1 0 -1 1 0 1 -3 1 0 -1 7 -6 1 0 1 -15 25 -10 1 0 -1 31 -90 65 -15 1 0 1 -63 301 -350 140 -21 1 | -| 42 | StirlingCyc:Rev | Acc | A096747 | 1 1 1 1 2 2 1 4 6 6 1 7 18 24 24 1 11 46 96 120 120 1 16 101 326 600 720 720 1 22 197 932 2556 4320 | -| 43 | StirlingCyc:Rev | AccRev | A349782 | 1 0 1 0 1 2 0 2 5 6 0 6 17 23 24 0 24 74 109 119 120 0 120 394 619 704 719 720 0 720 2484 4108 4843 | -| 44 | StirlingCyc:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 3 0 1 6 2 1 10 11 0 1 15 35 6 1 21 85 50 0 1 28 175 225 24 1 36 322 735 274 0 1 45 | -| 45 | StirlingCyc:Rev | Diffx1 | missing | 1 1 0 1 2 0 1 6 6 0 1 12 33 24 0 1 20 105 200 120 0 1 30 255 900 1370 720 0 1 42 525 2940 8120 | -| 46 | StirlingCyc:Rev | RowSum | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 47 | StirlingCyc:Rev | EvenSum | A001710 | 1 1 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 3113510400 43589145600 653837184000 | -| 48 | StirlingCyc:Rev | OddSum | B001710 | 0 0 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 3113510400 43589145600 653837184000 | -| 49 | StirlingCyc:Rev | AltSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 50 | StirlingCyc:Rev | DiagSum | A124380 | 1 1 1 2 4 9 22 57 157 453 1368 4296 13995 47138 163779 585741 2152349 8113188 31326760 123748871 | -| 51 | StirlingCyc:Rev | AccSum | A000774 | 1 2 5 17 74 394 2484 18108 149904 1389456 14257440 160460640 1965444480 26029779840 370643938560 | -| 52 | StirlingCyc:Rev | AccRevSum | A121586 | 1 1 3 13 70 446 3276 27252 253296 2602224 29288160 358457760 4740577920 67375532160 1024208720640 | -| 53 | StirlingCyc:Rev | RowLcm | B063039 | 1 1 1 6 66 4200 4192200 5115600 19083776176080 10086416728304192640 126556188275836361347200 | -| 54 | StirlingCyc:Rev | RowMax | A065048 | 1 1 1 3 11 50 274 1764 13132 118124 1172700 12753576 150917976 1931559552 26596717056 392156797824 | -| 55 | StirlingCyc:Rev | ColMiddle | missing | 1 1 1 3 11 35 225 735 6769 22449 269325 902055 13339535 44990231 790943153 2681453775 54631129553 | -| 56 | StirlingCyc:Rev | CentralE | A187646 | 1 1 11 225 6769 269325 13339535 790943153 54631129553 4308105301929 381922055502195 | -| 57 | StirlingCyc:Rev | CentralO | A129505 | 1 3 35 735 22449 902055 44990231 2681453775 185953177553 14710753408923 1307535010540395 | -| 58 | StirlingCyc:Rev | BinConv | A211210 | 1 1 3 16 115 1021 10696 128472 1734447 25937683 424852351 7554471156 144767131444 2971727661124 | -| 59 | StirlingCyc:Rev | InvBinConv | A317274 | 1 -1 -1 2 19 79 76 -2640 -36945 -329371 -1861949 4438774 355714228 7292531180 109844527612 | -| 60 | StirlingCyc:Rev | TransNat0 | A067318 | 0 0 1 7 46 326 2556 22212 212976 2239344 25659360 318540960 4261576320 61148511360 937030429440 | -| 61 | StirlingCyc:Rev | TransNat1 | A121586 | 1 1 3 13 70 446 3276 27252 253296 2602224 29288160 358457760 4740577920 67375532160 1024208720640 | -| 62 | StirlingCyc:Rev | TransSqrs | missing | 0 0 1 11 104 984 9764 103340 1172968 14286888 186442992 2600348112 38651163264 610490973312 | -| 63 | StirlingCyc:Rev | PosHalf | B000142 | 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000 | -| 64 | StirlingCyc:Rev | NegHalf | A180215 | 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 65 | StirlingCyc:Rev | DiagRow1 | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 66 | StirlingCyc:Rev | DiagRow2 | B000254 | 1 3 11 50 274 1764 13068 109584 1026576 10628640 120543840 1486442880 19802759040 283465647360 | -| 67 | StirlingCyc:Rev | DiagRow3 | A000399 | 1 6 35 225 1624 13132 118124 1172700 12753576 150917976 1931559552 26596717056 392156797824 | -| 68 | StirlingCyc:Rev | DiagCol1 | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | -| 69 | StirlingCyc:Rev | DiagCol2 | A000914 | 0 2 11 35 85 175 322 546 870 1320 1925 2717 3731 5005 6580 8500 10812 13566 16815 20615 25025 30107 | -| 70 | StirlingCyc:Rev | DiagCol3 | A001303 | 0 6 50 225 735 1960 4536 9450 18150 32670 55770 91091 143325 218400 323680 468180 662796 920550 | -| 71 | StirlingCyc:Rev | Poly | A069777 | 1 1 1 1 1 1 1 2 1 1 1 6 3 1 1 1 24 15 4 1 1 1 120 105 28 5 1 1 1 720 945 280 45 6 1 1 1 5040 10395 | -| 72 | StirlingCyc:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 73 | StirlingCyc:Rev | PolyRow3 | B000384 | 1 6 15 28 45 66 91 120 153 190 231 276 325 378 435 496 561 630 703 780 861 946 1035 1128 1225 1326 | -| 74 | StirlingCyc:Rev | PolyCol2 | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | -| 75 | StirlingCyc:Rev | PolyCol3 | A007559 | 1 1 4 28 280 3640 58240 1106560 24344320 608608000 17041024000 528271744000 17961239296000 | -| 76 | StirlingCyc:Rev | PolyDiag | A092985 | 1 1 3 28 585 22176 1339975 118514880 14454403425 2326680294400 478015854767451 122087424094272000 | -| 77 | StirlingCyc:Inv | Triangle | A048993 | 1 0 1 0 -1 1 0 1 -3 1 0 -1 7 -6 1 0 1 -15 25 -10 1 0 -1 31 -90 65 -15 1 0 1 -63 301 -350 140 -21 1 | -| 78 | StirlingCyc:Inv | Rev | A106800 | 1 1 0 1 -1 0 1 -3 1 0 1 -6 7 -1 0 1 -10 25 -15 1 0 1 -15 65 -90 31 -1 0 1 -21 140 -350 301 -63 1 0 | -| 79 | StirlingCyc:Inv | RevInv | A054654 | 1 1 0 1 1 0 1 3 2 0 1 6 11 6 0 1 10 35 50 24 0 1 15 85 225 274 120 0 1 21 175 735 1624 1764 720 0 1 | -| 80 | StirlingCyc:Inv | Acc | missing | 1 0 1 0 -1 0 0 1 -2 -1 0 -1 6 0 1 0 1 -14 11 1 2 0 -1 30 -60 5 -10 -9 0 1 -62 239 -111 29 8 9 0 -1 | -| 81 | StirlingCyc:Inv | AccRev | missing | 1 1 1 1 0 0 1 -2 -1 -1 1 -5 2 1 1 1 -9 16 1 2 2 1 -14 51 -39 -8 -9 -9 1 -20 120 -230 71 8 9 9 1 -27 | -| 82 | StirlingCyc:Inv | AntiDiag | missing | 1 0 0 1 0 -1 0 1 1 0 -1 -3 0 1 7 1 0 -1 -15 -6 0 1 31 25 1 0 -1 -63 -90 -10 0 1 127 301 65 1 0 -1 | -| 83 | StirlingCyc:Inv | Diffx1 | missing | 1 0 2 0 -2 3 0 2 -9 4 0 -2 21 -24 5 0 2 -45 100 -50 6 0 -2 93 -360 325 -90 7 0 2 -189 1204 -1750 | -| 84 | StirlingCyc:Inv | RowSum | A000587 | 1 1 0 -1 1 2 -9 9 50 -267 413 2180 -17731 50533 110176 -1966797 9938669 -8638718 -278475061 | -| 85 | StirlingCyc:Inv | EvenSum | A024430 | 1 0 1 -3 8 -25 97 -434 2095 -10707 58194 -338195 2097933 -13796952 95504749 -692462671 5245040408 | -| 86 | StirlingCyc:Inv | OddSum | A024429 | 0 1 -1 2 -7 27 -106 443 -2045 10440 -57781 340375 -2115664 13847485 -95394573 690495874 -5235101739 | -| 87 | StirlingCyc:Inv | AltSum | A000110 | 1 -1 2 -5 15 -52 203 -877 4140 -21147 115975 -678570 4213597 -27644437 190899322 -1382958545 | -| 88 | StirlingCyc:Inv | DiagSum | A171367 | 1 0 1 -1 2 -4 9 -22 58 -164 495 -1587 5379 -19195 71872 -281571 1151338 -4902687 21696505 -99598840 | -| 89 | StirlingCyc:Inv | AccSum | missing | 1 1 -1 -2 6 1 -45 113 133 -1990 6310 6249 -162239 767105 -424333 -19563286 150379986 -425333267 | -| 90 | StirlingCyc:Inv | AccRevSum | missing | 1 2 1 -3 0 13 -27 -32 367 -947 -1354 22091 -85995 -9110 2187149 -13872263 28516056 261197625 | -| 91 | StirlingCyc:Inv | RowLcm | A063040 | 1 1 1 3 42 150 36270 270900 9440379900 3332912051700 2004302168707167000 1424191116445997823000 | -| 92 | StirlingCyc:Inv | RowGcd | B089026 | 1 1 1 3 1 5 1 7 1 1 1 11 1 13 1 1 1 17 1 19 1 1 1 23 1 1 1 1 1 29 1 31 | -| 93 | StirlingCyc:Inv | RowMax | A002870 | 1 1 1 3 7 25 90 350 1701 7770 42525 246730 1379400 9321312 63436373 420693273 3281882604 | -| 94 | StirlingCyc:Inv | ColMiddle | A343279 | 1 0 -1 1 7 -15 -90 301 1701 -7770 -42525 246730 1323652 -9321312 -49329280 408741333 2141764053 | -| 95 | StirlingCyc:Inv | CentralE | A007820 | 1 -1 7 -90 1701 -42525 1323652 -49329280 2141764053 -106175395755 5917584964655 -366282500870286 | -| 96 | StirlingCyc:Inv | CentralO | A247238 | 0 1 -15 301 -7770 246730 -9321312 408741333 -20415995028 1144614626805 -71187132291275 | -| 97 | StirlingCyc:Inv | BinConv | A343841 | 1 1 -1 -5 15 56 -455 -237 16947 -64220 -529494 6833608 -8606015 -459331677 4335744673 6800310151 | -| 98 | StirlingCyc:Inv | InvBinConv | A122455 | 1 1 3 13 71 456 3337 27203 243203 2357356 24554426 272908736 3218032897 40065665043 524575892037 | -| 99 | StirlingCyc:Inv | TransNat0 | A101851 | 0 1 1 -2 -1 11 -18 -41 317 -680 -1767 19911 -68264 -59643 2076973 -11905466 18577387 269836343 | -| 100 | StirlingCyc:Inv | TransNat1 | missing | 1 2 1 -3 0 13 -27 -32 367 -947 -1354 22091 -85995 -9110 2187149 -13872263 28516056 261197625 | -| 101 | StirlingCyc:Inv | TransSqrs | missing | 0 1 3 -2 -11 31 14 -349 1047 820 -21265 90355 -26352 -2086083 14092615 -32449650 -241320287 | -| 102 | StirlingCyc:Inv | PosHalf | A009235 | 1 1 -1 -1 9 -23 -25 583 -3087 4401 79087 -902097 4783801 2361049 -348382697 4102879415 -24288551071 | -| 103 | StirlingCyc:Inv | NegHalf | A004211 | 1 1 3 11 49 257 1539 10299 75905 609441 5284451 49134923 487026929 5120905441 56878092067 | -| 104 | StirlingCyc:Inv | DiagRow1 | A000217 | 0 -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 | -| 105 | StirlingCyc:Inv | DiagRow2 | A001296 | 0 1 7 25 65 140 266 462 750 1155 1705 2431 3367 4550 6020 7820 9996 12597 15675 19285 23485 28336 | -| 106 | StirlingCyc:Inv | DiagRow3 | A001297 | 0 -1 -15 -90 -350 -1050 -2646 -5880 -11880 -22275 -39325 -66066 -106470 -165620 -249900 -367200 | -| 107 | StirlingCyc:Inv | DiagCol2 | A060152 | 1 -3 7 -15 31 -63 127 -255 511 -1023 2047 -4095 8191 -16383 32767 -65535 131071 -262143 524287 | -| 108 | StirlingCyc:Inv | DiagCol3 | B000392 | 1 -6 25 -90 301 -966 3025 -9330 28501 -86526 261625 -788970 2375101 -7141686 21457825 -64439010 | -| 109 | StirlingCyc:Inv | Poly | missing | 1 0 1 0 1 1 0 0 2 1 0 -1 2 3 1 0 1 -2 6 4 1 0 2 -6 3 12 5 1 0 -9 14 -21 20 20 6 1 0 9 26 -24 -20 55 | -| 110 | StirlingCyc:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 111 | StirlingCyc:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | -| 112 | StirlingCyc:Inv | PolyRow3 | B318765 | 0 -1 -2 3 20 55 114 203 328 495 710 979 1308 1703 2170 2715 3344 4063 4878 5795 6820 7959 9218 | -| 113 | StirlingCyc:Inv | PolyCol2 | A213170 | 1 2 2 -2 -6 14 26 -178 90 2382 -9446 -13746 287194 -998578 -3687782 56264782 -208446118 -1017677490 | -| 114 | StirlingCyc:Inv | PolyCol3 | A309084 | 1 3 6 3 -21 -24 195 111 -3072 4053 57003 -277854 -697539 12261567 -29861778 -371727465 3511027599 | -| 115 | StirlingCyc:Inv | PolyDiag | A292866 | 1 1 2 3 -20 -370 -4074 -34293 -138312 2932533 106271090 2192834490 32208497124 206343936097 | -| 116 | StirlingCyc:Inv:Rev | Triangle | A106800 | 1 1 0 1 -1 0 1 -3 1 0 1 -6 7 -1 0 1 -10 25 -15 1 0 1 -15 65 -90 31 -1 0 1 -21 140 -350 301 -63 1 0 | -| 117 | StirlingCyc:Inv:Rev | Rev | A048993 | 1 0 1 0 -1 1 0 1 -3 1 0 -1 7 -6 1 0 1 -15 25 -10 1 0 -1 31 -90 65 -15 1 0 1 -63 301 -350 140 -21 1 | -| 118 | StirlingCyc:Inv:Rev | InvRev | A048994 | 1 0 1 0 1 1 0 2 3 1 0 6 11 6 1 0 24 50 35 10 1 0 120 274 225 85 15 1 0 720 1764 1624 735 175 21 1 0 | -| 119 | StirlingCyc:Inv:Rev | Acc | missing | 1 1 1 1 0 0 1 -2 -1 -1 1 -5 2 1 1 1 -9 16 1 2 2 1 -14 51 -39 -8 -9 -9 1 -20 120 -230 71 8 9 9 1 -27 | -| 120 | StirlingCyc:Inv:Rev | AccRev | missing | 1 0 1 0 -1 0 0 1 -2 -1 0 -1 6 0 1 0 1 -14 11 1 2 0 -1 30 -60 5 -10 -9 0 1 -62 239 -111 29 8 9 0 -1 | -| 121 | StirlingCyc:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -1 1 -3 0 1 -6 1 1 -10 7 0 1 -15 25 -1 1 -21 65 -15 0 1 -28 140 -90 1 1 -36 266 -350 31 0 | -| 122 | StirlingCyc:Inv:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 -6 3 0 1 -12 21 -4 0 1 -20 75 -60 5 0 1 -30 195 -360 155 -6 0 1 -42 420 -1400 1505 | -| 123 | StirlingCyc:Inv:Rev | RowSum | A000587 | 1 1 0 -1 1 2 -9 9 50 -267 413 2180 -17731 50533 110176 -1966797 9938669 -8638718 -278475061 | -| 124 | StirlingCyc:Inv:Rev | EvenSum | A096647 | 1 1 1 2 8 27 97 443 2095 10440 58194 340375 2097933 13847485 95504749 690495874 5245040408 | -| 125 | StirlingCyc:Inv:Rev | OddSum | A096648 | 0 0 -1 -3 -7 -25 -106 -434 -2045 -10707 -57781 -338195 -2115664 -13796952 -95394573 -692462671 | -| 126 | StirlingCyc:Inv:Rev | AltSum | A000110 | 1 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | -| 127 | StirlingCyc:Inv:Rev | DiagSum | missing | 1 1 1 0 -2 -4 -2 10 30 24 -88 -332 -312 1196 4932 4552 -22672 -92128 -69032 550920 2055880 839664 | -| 128 | StirlingCyc:Inv:Rev | AccSum | missing | 1 2 1 -3 0 13 -27 -32 367 -947 -1354 22091 -85995 -9110 2187149 -13872263 28516056 261197625 | -| 129 | StirlingCyc:Inv:Rev | AccRevSum | missing | 1 1 -1 -2 6 1 -45 113 133 -1990 6310 6249 -162239 767105 -424333 -19563286 150379986 -425333267 | -| 130 | StirlingCyc:Inv:Rev | RowLcm | A063040 | 1 1 1 3 42 150 36270 270900 9440379900 3332912051700 2004302168707167000 1424191116445997823000 | -| 131 | StirlingCyc:Inv:Rev | RowGcd | B089026 | 1 1 1 3 1 5 1 7 1 1 1 11 1 13 1 1 1 17 1 19 1 1 1 23 1 1 1 1 1 29 1 31 | -| 132 | StirlingCyc:Inv:Rev | RowMax | A002870 | 1 1 1 3 7 25 90 350 1701 7770 42525 246730 1379400 9321312 63436373 420693273 3281882604 | -| 133 | StirlingCyc:Inv:Rev | ColMiddle | A343278 | 1 1 -1 -3 7 25 -90 -350 1701 6951 -42525 -179487 1323652 5715424 -49329280 -216627840 2141764053 | -| 134 | StirlingCyc:Inv:Rev | CentralE | A007820 | 1 -1 7 -90 1701 -42525 1323652 -49329280 2141764053 -106175395755 5917584964655 -366282500870286 | -| 135 | StirlingCyc:Inv:Rev | CentralO | A129506 | 1 -3 25 -350 6951 -179487 5715424 -216627840 9528822303 -477297033785 26826851689001 | -| 136 | StirlingCyc:Inv:Rev | BinConv | A343841 | 1 1 -1 -5 15 56 -455 -237 16947 -64220 -529494 6833608 -8606015 -459331677 4335744673 6800310151 | -| 137 | StirlingCyc:Inv:Rev | InvBinConv | A122455 | 1 -1 3 -13 71 -456 3337 -27203 243203 -2357356 24554426 -272908736 3218032897 -40065665043 | -| 138 | StirlingCyc:Inv:Rev | TransNat0 | missing | 0 0 -1 -1 5 -1 -36 104 83 -1723 5897 4069 -144508 716572 -534509 -17596489 140441317 -416694549 | -| 139 | StirlingCyc:Inv:Rev | TransNat1 | missing | 1 1 -1 -2 6 1 -45 113 133 -1990 6310 6249 -162239 767105 -424333 -19563286 150379986 -425333267 | -| 140 | StirlingCyc:Inv:Rev | TransSqrs | missing | 0 0 -1 1 13 -29 -94 666 -825 -8567 55375 -83907 -941280 8004712 -22468133 -117814995 1708502593 | -| 141 | StirlingCyc:Inv:Rev | PosHalf | A213170 | 1 2 2 -2 -6 14 26 -178 90 2382 -9446 -13746 287194 -998578 -3687782 56264782 -208446118 -1017677490 | -| 142 | StirlingCyc:Inv:Rev | NegHalf | A001861 | 1 -2 6 -22 94 -454 2430 -14214 89918 -610182 4412798 -33827974 273646526 -2326980998 20732504062 | -| 143 | StirlingCyc:Inv:Rev | DiagRow2 | A060152 | 1 -3 7 -15 31 -63 127 -255 511 -1023 2047 -4095 8191 -16383 32767 -65535 131071 -262143 524287 | -| 144 | StirlingCyc:Inv:Rev | DiagRow3 | B000392 | 1 -6 25 -90 301 -966 3025 -9330 28501 -86526 261625 -788970 2375101 -7141686 21457825 -64439010 | -| 145 | StirlingCyc:Inv:Rev | DiagCol1 | A000217 | 0 -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 | -| 146 | StirlingCyc:Inv:Rev | DiagCol2 | A001296 | 0 1 7 25 65 140 266 462 750 1155 1705 2431 3367 4550 6020 7820 9996 12597 15675 19285 23485 28336 | -| 147 | StirlingCyc:Inv:Rev | DiagCol3 | A001297 | 0 -1 -15 -90 -350 -1050 -2646 -5880 -11880 -22275 -39325 -66066 -106470 -165620 -249900 -367200 | -| 148 | StirlingCyc:Inv:Rev | Poly | A053864 | 1 1 1 1 1 1 1 0 1 1 1 -1 -1 1 1 1 1 -1 -2 1 1 1 2 9 1 -3 1 1 1 -9 -23 19 5 -4 1 1 1 9 -25 -128 25 | -| 149 | StirlingCyc:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 150 | StirlingCyc:Inv:Rev | PolyRow3 | A165900 | 1 -1 -1 1 5 11 19 29 41 55 71 89 109 131 155 181 209 239 271 305 341 379 419 461 505 551 599 649 | -| 151 | StirlingCyc:Inv:Rev | PolyCol2 | A009235 | 1 1 -1 -1 9 -23 -25 583 -3087 4401 79087 -902097 4783801 2361049 -348382697 4102879415 -24288551071 | -| 152 | StirlingCyc:Inv:Rev | PolyCol3 | A317996 | 1 1 -2 1 19 -128 379 1549 -32600 261631 -845909 -10713602 237695149 -2513395259 11792378662 | -| 153 | StirlingCyc:Inv:Rev | PolyDiag | A318183 | 1 1 -1 1 25 -674 15211 -331827 5987745 15901597 -13125035449 1292056076070 -103145930581319 | \ No newline at end of file +| 40 | StirlingCyc:Alt | Triangle | A048994 | 1 0 -1 0 -1 1 0 -2 3 -1 0 -6 11 -6 1 0 -24 50 -35 10 -1 0 -120 274 -225 85 -15 1 0 -720 1764 -1624 | +| 41 | StirlingCyc:Alt | Rev | A054654 | 1 -1 0 1 -1 0 -1 3 -2 0 1 -6 11 -6 0 -1 10 -35 50 -24 0 1 -15 85 -225 274 -120 0 -1 21 -175 735 | +| 42 | StirlingCyc:Alt | Inv | missing | 1 0 1 0 1 1 0 -1 -3 1 0 -11 -29 6 1 0 49 135 -25 -10 1 0 1291 3541 -660 -235 15 1 0 -13119 -36057 | +| 43 | StirlingCyc:Alt | RevInv | missing | 1 1 0 1 1 0 1 -3 -1 0 1 6 -29 -11 0 1 -10 -25 135 49 0 1 15 -235 -660 3541 1291 0 1 -21 -140 2450 | +| 44 | StirlingCyc:Alt | Acc | missing | 1 0 -1 0 -1 0 0 -2 1 0 0 -6 5 -1 0 0 -24 26 -9 1 0 0 -120 154 -71 14 -1 0 0 -720 1044 -580 155 -20 | +| 45 | StirlingCyc:Alt | AccRev | missing | 1 -1 -1 1 0 0 -1 2 0 0 1 -5 6 0 0 -1 9 -26 24 0 0 1 -14 71 -154 120 0 0 -1 20 -155 580 -1044 720 0 | +| 46 | StirlingCyc:Alt | AntiDiag | A331327 | 1 0 0 -1 0 -1 0 -2 1 0 -6 3 0 -24 11 -1 0 -120 50 -6 0 -720 274 -35 1 0 -5040 1764 -225 10 0 -40320 | +| 47 | StirlingCyc:Alt | Diffx1 | A360174 | 1 0 -2 0 -2 3 0 -4 9 -4 0 -12 33 -24 5 0 -48 150 -140 50 -6 0 -240 822 -900 425 -90 7 0 -1440 5292 | +| 48 | StirlingCyc:Alt | RowSum | A014026 | 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 49 | StirlingCyc:Alt | EvenSum | A105752 | 1 0 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 3113510400 43589145600 653837184000 | +| 50 | StirlingCyc:Alt | OddSum | B001710 | 0 -1 -1 -3 -12 -60 -360 -2520 -20160 -181440 -1814400 -19958400 -239500800 -3113510400 -43589145600 | +| 51 | StirlingCyc:Alt | AltSum | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 52 | StirlingCyc:Alt | DiagSum | A353253 | 1 0 -1 -1 -1 -3 -14 -76 -480 -3491 -28792 -265708 -2713753 -30395515 -370509784 -4883351213 | +| 53 | StirlingCyc:Alt | AccSum | A159333 | 1 -1 -1 -1 -2 -6 -24 -120 -720 -5040 -40320 -362880 -3628800 -39916800 -479001600 -6227020800 | +| 54 | StirlingCyc:Alt | AccRevSum | B000142 | 1 -2 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 55 | StirlingCyc:Alt | RowLcm | B063039 | 1 1 1 6 66 4200 4192200 5115600 19083776176080 10086416728304192640 126556188275836361347200 | +| 56 | StirlingCyc:Alt | RowMax | A065048 | 1 1 1 3 11 50 274 1764 13132 118124 1172700 12753576 150917976 1931559552 26596717056 392156797824 | +| 57 | StirlingCyc:Alt | ColMiddle | A154415 | 1 0 -1 -2 11 50 -225 -1624 6769 67284 -269325 -3416930 13339535 206070150 -790943153 -14409322928 | +| 58 | StirlingCyc:Alt | CentralE | A187646 | 1 -1 11 -225 6769 -269325 13339535 -790943153 54631129553 -4308105301929 381922055502195 | +| 59 | StirlingCyc:Alt | CentralO | missing | 0 -2 50 -1624 67284 -3416930 206070150 -14409322928 1146901283528 -102417740732658 | +| 60 | StirlingCyc:Alt | BinConv | A317274 | 1 -1 -1 2 19 79 76 -2640 -36945 -329371 -1861949 4438774 355714228 7292531180 109844527612 | +| 61 | StirlingCyc:Alt | InvBinConv | A211210 | 1 -1 3 -16 115 -1021 10696 -128472 1734447 -25937683 424852351 -7554471156 144767131444 | +| 62 | StirlingCyc:Alt | TransNat0 | A358185 | 0 -1 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 63 | StirlingCyc:Alt | TransNat1 | B000142 | 1 -2 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 64 | StirlingCyc:Alt | TransSqrs | A045406 | 0 -1 3 1 0 -4 -28 -188 -1368 -11016 -98208 -964512 -10370880 -121337280 -1535880960 -20924455680 | +| 65 | StirlingCyc:Alt | PosHalf | A330797 | 1 -1 -1 -3 -15 -105 -945 -10395 -135135 -2027025 -34459425 -654729075 -13749310575 -316234143225 | +| 66 | StirlingCyc:Alt | NegHalf | A001147 | 1 -1 3 -15 105 -945 10395 -135135 2027025 -34459425 654729075 -13749310575 316234143225 | +| 67 | StirlingCyc:Alt | DiagRow1 | A000217 | 0 -1 3 -6 10 -15 21 -28 36 -45 55 -66 78 -91 105 -120 136 -153 171 -190 210 -231 253 -276 300 -325 | +| 68 | StirlingCyc:Alt | DiagRow2 | A000914 | 0 -2 11 -35 85 -175 322 -546 870 -1320 1925 -2717 3731 -5005 6580 -8500 10812 -13566 16815 -20615 | +| 69 | StirlingCyc:Alt | DiagRow3 | A001303 | 0 -6 50 -225 735 -1960 4536 -9450 18150 -32670 55770 -91091 143325 -218400 323680 -468180 662796 | +| 70 | StirlingCyc:Alt | DiagCol1 | A000142 | -1 -1 -2 -6 -24 -120 -720 -5040 -40320 -362880 -3628800 -39916800 -479001600 -6227020800 | +| 71 | StirlingCyc:Alt | DiagCol2 | B000254 | 1 3 11 50 274 1764 13068 109584 1026576 10628640 120543840 1486442880 19802759040 283465647360 | +| 72 | StirlingCyc:Alt | DiagCol3 | A000399 | -1 -6 -35 -225 -1624 -13132 -118124 -1172700 -12753576 -150917976 -1931559552 -26596717056 | +| 73 | StirlingCyc:Alt | Poly | A060701 | 1 0 1 0 -1 1 0 0 -2 1 0 0 2 -3 1 0 0 0 6 -4 1 0 0 0 -6 12 -5 1 0 0 0 0 -24 20 -6 1 0 0 0 0 24 -60 | +| 74 | StirlingCyc:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | StirlingCyc:Alt | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 76 | StirlingCyc:Alt | PolyRow3 | A007531 | 0 0 0 -6 -24 -60 -120 -210 -336 -504 -720 -990 -1320 -1716 -2184 -2730 -3360 -4080 -4896 -5814 | +| 77 | StirlingCyc:Alt | PolyCol2 | A180215 | 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 78 | StirlingCyc:Alt | PolyCol3 | B186685 | 1 -3 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 79 | StirlingCyc:Alt | PolyDiag | A000142 | 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | +| 80 | StirlingCyc:Rev | Triangle | A054654 | 1 1 0 1 1 0 1 3 2 0 1 6 11 6 0 1 10 35 50 24 0 1 15 85 225 274 120 0 1 21 175 735 1624 1764 720 0 1 | +| 81 | StirlingCyc:Rev | InvRev | A048993 | 1 0 1 0 -1 1 0 1 -3 1 0 -1 7 -6 1 0 1 -15 25 -10 1 0 -1 31 -90 65 -15 1 0 1 -63 301 -350 140 -21 1 | +| 82 | StirlingCyc:Rev | Acc | A096747 | 1 1 1 1 2 2 1 4 6 6 1 7 18 24 24 1 11 46 96 120 120 1 16 101 326 600 720 720 1 22 197 932 2556 4320 | +| 83 | StirlingCyc:Rev | AccRev | A349782 | 1 0 1 0 1 2 0 2 5 6 0 6 17 23 24 0 24 74 109 119 120 0 120 394 619 704 719 720 0 720 2484 4108 4843 | +| 84 | StirlingCyc:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 3 0 1 6 2 1 10 11 0 1 15 35 6 1 21 85 50 0 1 28 175 225 24 1 36 322 735 274 0 1 45 | +| 85 | StirlingCyc:Rev | Diffx1 | missing | 1 1 0 1 2 0 1 6 6 0 1 12 33 24 0 1 20 105 200 120 0 1 30 255 900 1370 720 0 1 42 525 2940 8120 | +| 86 | StirlingCyc:Rev | RowSum | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 87 | StirlingCyc:Rev | EvenSum | A001710 | 1 1 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 3113510400 43589145600 653837184000 | +| 88 | StirlingCyc:Rev | OddSum | B001710 | 0 0 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 3113510400 43589145600 653837184000 | +| 89 | StirlingCyc:Rev | AltSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 90 | StirlingCyc:Rev | DiagSum | A124380 | 1 1 1 2 4 9 22 57 157 453 1368 4296 13995 47138 163779 585741 2152349 8113188 31326760 123748871 | +| 91 | StirlingCyc:Rev | AccSum | A000774 | 1 2 5 17 74 394 2484 18108 149904 1389456 14257440 160460640 1965444480 26029779840 370643938560 | +| 92 | StirlingCyc:Rev | AccRevSum | A121586 | 1 1 3 13 70 446 3276 27252 253296 2602224 29288160 358457760 4740577920 67375532160 1024208720640 | +| 93 | StirlingCyc:Rev | RowLcm | B063039 | 1 1 1 6 66 4200 4192200 5115600 19083776176080 10086416728304192640 126556188275836361347200 | +| 94 | StirlingCyc:Rev | RowMax | A065048 | 1 1 1 3 11 50 274 1764 13132 118124 1172700 12753576 150917976 1931559552 26596717056 392156797824 | +| 95 | StirlingCyc:Rev | ColMiddle | missing | 1 1 1 3 11 35 225 735 6769 22449 269325 902055 13339535 44990231 790943153 2681453775 54631129553 | +| 96 | StirlingCyc:Rev | CentralE | A187646 | 1 1 11 225 6769 269325 13339535 790943153 54631129553 4308105301929 381922055502195 | +| 97 | StirlingCyc:Rev | CentralO | A129505 | 1 3 35 735 22449 902055 44990231 2681453775 185953177553 14710753408923 1307535010540395 | +| 98 | StirlingCyc:Rev | BinConv | A211210 | 1 1 3 16 115 1021 10696 128472 1734447 25937683 424852351 7554471156 144767131444 2971727661124 | +| 99 | StirlingCyc:Rev | InvBinConv | A317274 | 1 -1 -1 2 19 79 76 -2640 -36945 -329371 -1861949 4438774 355714228 7292531180 109844527612 | +| 100 | StirlingCyc:Rev | TransNat0 | A067318 | 0 0 1 7 46 326 2556 22212 212976 2239344 25659360 318540960 4261576320 61148511360 937030429440 | +| 101 | StirlingCyc:Rev | TransNat1 | A121586 | 1 1 3 13 70 446 3276 27252 253296 2602224 29288160 358457760 4740577920 67375532160 1024208720640 | +| 102 | StirlingCyc:Rev | TransSqrs | missing | 0 0 1 11 104 984 9764 103340 1172968 14286888 186442992 2600348112 38651163264 610490973312 | +| 103 | StirlingCyc:Rev | PosHalf | B000142 | 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 1307674368000 | +| 104 | StirlingCyc:Rev | NegHalf | A180215 | 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 105 | StirlingCyc:Rev | DiagRow1 | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 106 | StirlingCyc:Rev | DiagRow2 | B000254 | 1 3 11 50 274 1764 13068 109584 1026576 10628640 120543840 1486442880 19802759040 283465647360 | +| 107 | StirlingCyc:Rev | DiagRow3 | A000399 | 1 6 35 225 1624 13132 118124 1172700 12753576 150917976 1931559552 26596717056 392156797824 | +| 108 | StirlingCyc:Rev | DiagCol1 | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | +| 109 | StirlingCyc:Rev | DiagCol2 | A000914 | 0 2 11 35 85 175 322 546 870 1320 1925 2717 3731 5005 6580 8500 10812 13566 16815 20615 25025 30107 | +| 110 | StirlingCyc:Rev | DiagCol3 | A001303 | 0 6 50 225 735 1960 4536 9450 18150 32670 55770 91091 143325 218400 323680 468180 662796 920550 | +| 111 | StirlingCyc:Rev | Poly | A069777 | 1 1 1 1 1 1 1 2 1 1 1 6 3 1 1 1 24 15 4 1 1 1 120 105 28 5 1 1 1 720 945 280 45 6 1 1 1 5040 10395 | +| 112 | StirlingCyc:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 113 | StirlingCyc:Rev | PolyRow3 | B000384 | 1 6 15 28 45 66 91 120 153 190 231 276 325 378 435 496 561 630 703 780 861 946 1035 1128 1225 1326 | +| 114 | StirlingCyc:Rev | PolyCol2 | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | +| 115 | StirlingCyc:Rev | PolyCol3 | A007559 | 1 1 4 28 280 3640 58240 1106560 24344320 608608000 17041024000 528271744000 17961239296000 | +| 116 | StirlingCyc:Rev | PolyDiag | A092985 | 1 1 3 28 585 22176 1339975 118514880 14454403425 2326680294400 478015854767451 122087424094272000 | +| 117 | StirlingCyc:Inv | Triangle | A048993 | 1 0 1 0 -1 1 0 1 -3 1 0 -1 7 -6 1 0 1 -15 25 -10 1 0 -1 31 -90 65 -15 1 0 1 -63 301 -350 140 -21 1 | +| 118 | StirlingCyc:Inv | Rev | A106800 | 1 1 0 1 -1 0 1 -3 1 0 1 -6 7 -1 0 1 -10 25 -15 1 0 1 -15 65 -90 31 -1 0 1 -21 140 -350 301 -63 1 0 | +| 119 | StirlingCyc:Inv | RevInv | A054654 | 1 1 0 1 1 0 1 3 2 0 1 6 11 6 0 1 10 35 50 24 0 1 15 85 225 274 120 0 1 21 175 735 1624 1764 720 0 1 | +| 120 | StirlingCyc:Inv | Acc | missing | 1 0 1 0 -1 0 0 1 -2 -1 0 -1 6 0 1 0 1 -14 11 1 2 0 -1 30 -60 5 -10 -9 0 1 -62 239 -111 29 8 9 0 -1 | +| 121 | StirlingCyc:Inv | AccRev | missing | 1 1 1 1 0 0 1 -2 -1 -1 1 -5 2 1 1 1 -9 16 1 2 2 1 -14 51 -39 -8 -9 -9 1 -20 120 -230 71 8 9 9 1 -27 | +| 122 | StirlingCyc:Inv | AntiDiag | missing | 1 0 0 1 0 -1 0 1 1 0 -1 -3 0 1 7 1 0 -1 -15 -6 0 1 31 25 1 0 -1 -63 -90 -10 0 1 127 301 65 1 0 -1 | +| 123 | StirlingCyc:Inv | Diffx1 | missing | 1 0 2 0 -2 3 0 2 -9 4 0 -2 21 -24 5 0 2 -45 100 -50 6 0 -2 93 -360 325 -90 7 0 2 -189 1204 -1750 | +| 124 | StirlingCyc:Inv | RowSum | A000587 | 1 1 0 -1 1 2 -9 9 50 -267 413 2180 -17731 50533 110176 -1966797 9938669 -8638718 -278475061 | +| 125 | StirlingCyc:Inv | EvenSum | A024430 | 1 0 1 -3 8 -25 97 -434 2095 -10707 58194 -338195 2097933 -13796952 95504749 -692462671 5245040408 | +| 126 | StirlingCyc:Inv | OddSum | A024429 | 0 1 -1 2 -7 27 -106 443 -2045 10440 -57781 340375 -2115664 13847485 -95394573 690495874 -5235101739 | +| 127 | StirlingCyc:Inv | AltSum | A000110 | 1 -1 2 -5 15 -52 203 -877 4140 -21147 115975 -678570 4213597 -27644437 190899322 -1382958545 | +| 128 | StirlingCyc:Inv | DiagSum | A171367 | 1 0 1 -1 2 -4 9 -22 58 -164 495 -1587 5379 -19195 71872 -281571 1151338 -4902687 21696505 -99598840 | +| 129 | StirlingCyc:Inv | AccSum | missing | 1 1 -1 -2 6 1 -45 113 133 -1990 6310 6249 -162239 767105 -424333 -19563286 150379986 -425333267 | +| 130 | StirlingCyc:Inv | AccRevSum | missing | 1 2 1 -3 0 13 -27 -32 367 -947 -1354 22091 -85995 -9110 2187149 -13872263 28516056 261197625 | +| 131 | StirlingCyc:Inv | RowLcm | A063040 | 1 1 1 3 42 150 36270 270900 9440379900 3332912051700 2004302168707167000 1424191116445997823000 | +| 132 | StirlingCyc:Inv | RowGcd | B089026 | 1 1 1 3 1 5 1 7 1 1 1 11 1 13 1 1 1 17 1 19 1 1 1 23 1 1 1 1 1 29 1 31 | +| 133 | StirlingCyc:Inv | RowMax | A002870 | 1 1 1 3 7 25 90 350 1701 7770 42525 246730 1379400 9321312 63436373 420693273 3281882604 | +| 134 | StirlingCyc:Inv | ColMiddle | A343279 | 1 0 -1 1 7 -15 -90 301 1701 -7770 -42525 246730 1323652 -9321312 -49329280 408741333 2141764053 | +| 135 | StirlingCyc:Inv | CentralE | A007820 | 1 -1 7 -90 1701 -42525 1323652 -49329280 2141764053 -106175395755 5917584964655 -366282500870286 | +| 136 | StirlingCyc:Inv | CentralO | A247238 | 0 1 -15 301 -7770 246730 -9321312 408741333 -20415995028 1144614626805 -71187132291275 | +| 137 | StirlingCyc:Inv | BinConv | A343841 | 1 1 -1 -5 15 56 -455 -237 16947 -64220 -529494 6833608 -8606015 -459331677 4335744673 6800310151 | +| 138 | StirlingCyc:Inv | InvBinConv | A122455 | 1 1 3 13 71 456 3337 27203 243203 2357356 24554426 272908736 3218032897 40065665043 524575892037 | +| 139 | StirlingCyc:Inv | TransNat0 | A101851 | 0 1 1 -2 -1 11 -18 -41 317 -680 -1767 19911 -68264 -59643 2076973 -11905466 18577387 269836343 | +| 140 | StirlingCyc:Inv | TransNat1 | missing | 1 2 1 -3 0 13 -27 -32 367 -947 -1354 22091 -85995 -9110 2187149 -13872263 28516056 261197625 | +| 141 | StirlingCyc:Inv | TransSqrs | missing | 0 1 3 -2 -11 31 14 -349 1047 820 -21265 90355 -26352 -2086083 14092615 -32449650 -241320287 | +| 142 | StirlingCyc:Inv | PosHalf | A009235 | 1 1 -1 -1 9 -23 -25 583 -3087 4401 79087 -902097 4783801 2361049 -348382697 4102879415 -24288551071 | +| 143 | StirlingCyc:Inv | NegHalf | A004211 | 1 1 3 11 49 257 1539 10299 75905 609441 5284451 49134923 487026929 5120905441 56878092067 | +| 144 | StirlingCyc:Inv | DiagRow1 | A000217 | 0 -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 | +| 145 | StirlingCyc:Inv | DiagRow2 | A001296 | 0 1 7 25 65 140 266 462 750 1155 1705 2431 3367 4550 6020 7820 9996 12597 15675 19285 23485 28336 | +| 146 | StirlingCyc:Inv | DiagRow3 | A001297 | 0 -1 -15 -90 -350 -1050 -2646 -5880 -11880 -22275 -39325 -66066 -106470 -165620 -249900 -367200 | +| 147 | StirlingCyc:Inv | DiagCol2 | A060152 | 1 -3 7 -15 31 -63 127 -255 511 -1023 2047 -4095 8191 -16383 32767 -65535 131071 -262143 524287 | +| 148 | StirlingCyc:Inv | DiagCol3 | B000392 | 1 -6 25 -90 301 -966 3025 -9330 28501 -86526 261625 -788970 2375101 -7141686 21457825 -64439010 | +| 149 | StirlingCyc:Inv | Poly | missing | 1 0 1 0 1 1 0 0 2 1 0 -1 2 3 1 0 1 -2 6 4 1 0 2 -6 3 12 5 1 0 -9 14 -21 20 20 6 1 0 9 26 -24 -20 55 | +| 150 | StirlingCyc:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 151 | StirlingCyc:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 152 | StirlingCyc:Inv | PolyRow3 | B318765 | 0 -1 -2 3 20 55 114 203 328 495 710 979 1308 1703 2170 2715 3344 4063 4878 5795 6820 7959 9218 | +| 153 | StirlingCyc:Inv | PolyCol2 | A213170 | 1 2 2 -2 -6 14 26 -178 90 2382 -9446 -13746 287194 -998578 -3687782 56264782 -208446118 -1017677490 | +| 154 | StirlingCyc:Inv | PolyCol3 | A309084 | 1 3 6 3 -21 -24 195 111 -3072 4053 57003 -277854 -697539 12261567 -29861778 -371727465 3511027599 | +| 155 | StirlingCyc:Inv | PolyDiag | A292866 | 1 1 2 3 -20 -370 -4074 -34293 -138312 2932533 106271090 2192834490 32208497124 206343936097 | +| 156 | StirlingCyc:Inv:Rev | Triangle | A106800 | 1 1 0 1 -1 0 1 -3 1 0 1 -6 7 -1 0 1 -10 25 -15 1 0 1 -15 65 -90 31 -1 0 1 -21 140 -350 301 -63 1 0 | +| 157 | StirlingCyc:Inv:Rev | Rev | A048993 | 1 0 1 0 -1 1 0 1 -3 1 0 -1 7 -6 1 0 1 -15 25 -10 1 0 -1 31 -90 65 -15 1 0 1 -63 301 -350 140 -21 1 | +| 158 | StirlingCyc:Inv:Rev | InvRev | A048994 | 1 0 1 0 1 1 0 2 3 1 0 6 11 6 1 0 24 50 35 10 1 0 120 274 225 85 15 1 0 720 1764 1624 735 175 21 1 0 | +| 159 | StirlingCyc:Inv:Rev | Acc | missing | 1 1 1 1 0 0 1 -2 -1 -1 1 -5 2 1 1 1 -9 16 1 2 2 1 -14 51 -39 -8 -9 -9 1 -20 120 -230 71 8 9 9 1 -27 | +| 160 | StirlingCyc:Inv:Rev | AccRev | missing | 1 0 1 0 -1 0 0 1 -2 -1 0 -1 6 0 1 0 1 -14 11 1 2 0 -1 30 -60 5 -10 -9 0 1 -62 239 -111 29 8 9 0 -1 | +| 161 | StirlingCyc:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -1 1 -3 0 1 -6 1 1 -10 7 0 1 -15 25 -1 1 -21 65 -15 0 1 -28 140 -90 1 1 -36 266 -350 31 0 | +| 162 | StirlingCyc:Inv:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 -6 3 0 1 -12 21 -4 0 1 -20 75 -60 5 0 1 -30 195 -360 155 -6 0 1 -42 420 -1400 1505 | +| 163 | StirlingCyc:Inv:Rev | RowSum | A000587 | 1 1 0 -1 1 2 -9 9 50 -267 413 2180 -17731 50533 110176 -1966797 9938669 -8638718 -278475061 | +| 164 | StirlingCyc:Inv:Rev | EvenSum | A096647 | 1 1 1 2 8 27 97 443 2095 10440 58194 340375 2097933 13847485 95504749 690495874 5245040408 | +| 165 | StirlingCyc:Inv:Rev | OddSum | A096648 | 0 0 -1 -3 -7 -25 -106 -434 -2045 -10707 -57781 -338195 -2115664 -13796952 -95394573 -692462671 | +| 166 | StirlingCyc:Inv:Rev | AltSum | A000110 | 1 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | +| 167 | StirlingCyc:Inv:Rev | DiagSum | missing | 1 1 1 0 -2 -4 -2 10 30 24 -88 -332 -312 1196 4932 4552 -22672 -92128 -69032 550920 2055880 839664 | +| 168 | StirlingCyc:Inv:Rev | AccSum | missing | 1 2 1 -3 0 13 -27 -32 367 -947 -1354 22091 -85995 -9110 2187149 -13872263 28516056 261197625 | +| 169 | StirlingCyc:Inv:Rev | AccRevSum | missing | 1 1 -1 -2 6 1 -45 113 133 -1990 6310 6249 -162239 767105 -424333 -19563286 150379986 -425333267 | +| 170 | StirlingCyc:Inv:Rev | RowLcm | A063040 | 1 1 1 3 42 150 36270 270900 9440379900 3332912051700 2004302168707167000 1424191116445997823000 | +| 171 | StirlingCyc:Inv:Rev | RowGcd | B089026 | 1 1 1 3 1 5 1 7 1 1 1 11 1 13 1 1 1 17 1 19 1 1 1 23 1 1 1 1 1 29 1 31 | +| 172 | StirlingCyc:Inv:Rev | RowMax | A002870 | 1 1 1 3 7 25 90 350 1701 7770 42525 246730 1379400 9321312 63436373 420693273 3281882604 | +| 173 | StirlingCyc:Inv:Rev | ColMiddle | A343278 | 1 1 -1 -3 7 25 -90 -350 1701 6951 -42525 -179487 1323652 5715424 -49329280 -216627840 2141764053 | +| 174 | StirlingCyc:Inv:Rev | CentralE | A007820 | 1 -1 7 -90 1701 -42525 1323652 -49329280 2141764053 -106175395755 5917584964655 -366282500870286 | +| 175 | StirlingCyc:Inv:Rev | CentralO | A129506 | 1 -3 25 -350 6951 -179487 5715424 -216627840 9528822303 -477297033785 26826851689001 | +| 176 | StirlingCyc:Inv:Rev | BinConv | A343841 | 1 1 -1 -5 15 56 -455 -237 16947 -64220 -529494 6833608 -8606015 -459331677 4335744673 6800310151 | +| 177 | StirlingCyc:Inv:Rev | InvBinConv | A122455 | 1 -1 3 -13 71 -456 3337 -27203 243203 -2357356 24554426 -272908736 3218032897 -40065665043 | +| 178 | StirlingCyc:Inv:Rev | TransNat0 | missing | 0 0 -1 -1 5 -1 -36 104 83 -1723 5897 4069 -144508 716572 -534509 -17596489 140441317 -416694549 | +| 179 | StirlingCyc:Inv:Rev | TransNat1 | missing | 1 1 -1 -2 6 1 -45 113 133 -1990 6310 6249 -162239 767105 -424333 -19563286 150379986 -425333267 | +| 180 | StirlingCyc:Inv:Rev | TransSqrs | missing | 0 0 -1 1 13 -29 -94 666 -825 -8567 55375 -83907 -941280 8004712 -22468133 -117814995 1708502593 | +| 181 | StirlingCyc:Inv:Rev | PosHalf | A213170 | 1 2 2 -2 -6 14 26 -178 90 2382 -9446 -13746 287194 -998578 -3687782 56264782 -208446118 -1017677490 | +| 182 | StirlingCyc:Inv:Rev | NegHalf | A001861 | 1 -2 6 -22 94 -454 2430 -14214 89918 -610182 4412798 -33827974 273646526 -2326980998 20732504062 | +| 183 | StirlingCyc:Inv:Rev | DiagRow2 | A060152 | 1 -3 7 -15 31 -63 127 -255 511 -1023 2047 -4095 8191 -16383 32767 -65535 131071 -262143 524287 | +| 184 | StirlingCyc:Inv:Rev | DiagRow3 | B000392 | 1 -6 25 -90 301 -966 3025 -9330 28501 -86526 261625 -788970 2375101 -7141686 21457825 -64439010 | +| 185 | StirlingCyc:Inv:Rev | DiagCol1 | A000217 | 0 -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 | +| 186 | StirlingCyc:Inv:Rev | DiagCol2 | A001296 | 0 1 7 25 65 140 266 462 750 1155 1705 2431 3367 4550 6020 7820 9996 12597 15675 19285 23485 28336 | +| 187 | StirlingCyc:Inv:Rev | DiagCol3 | A001297 | 0 -1 -15 -90 -350 -1050 -2646 -5880 -11880 -22275 -39325 -66066 -106470 -165620 -249900 -367200 | +| 188 | StirlingCyc:Inv:Rev | Poly | A053864 | 1 1 1 1 1 1 1 0 1 1 1 -1 -1 1 1 1 1 -1 -2 1 1 1 2 9 1 -3 1 1 1 -9 -23 19 5 -4 1 1 1 9 -25 -128 25 | +| 189 | StirlingCyc:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 190 | StirlingCyc:Inv:Rev | PolyRow3 | A165900 | 1 -1 -1 1 5 11 19 29 41 55 71 89 109 131 155 181 209 239 271 305 341 379 419 461 505 551 599 649 | +| 191 | StirlingCyc:Inv:Rev | PolyCol2 | A009235 | 1 1 -1 -1 9 -23 -25 583 -3087 4401 79087 -902097 4783801 2361049 -348382697 4102879415 -24288551071 | +| 192 | StirlingCyc:Inv:Rev | PolyCol3 | A317996 | 1 1 -2 1 19 -128 379 1549 -32600 261631 -845909 -10713602 237695149 -2513395259 11792378662 | +| 193 | StirlingCyc:Inv:Rev | PolyDiag | A318183 | 1 1 -1 1 25 -674 15211 -331827 5987745 15901597 -13125035449 1292056076070 -103145930581319 | \ No newline at end of file diff --git a/data/md/StirlingCyc2.md b/data/md/StirlingCyc2.md index 8a05f6f..6819a97 100644 --- a/data/md/StirlingCyc2.md +++ b/data/md/StirlingCyc2.md @@ -1,76 +1,114 @@ -| | triangle | trait | anum | seq | -|---:|:-----------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | StirlingCyc2:Std | Triangle | A358622 | 1 0 0 0 1 0 0 2 0 0 0 6 3 0 0 0 24 20 0 0 0 0 120 130 15 0 0 0 0 720 924 210 0 0 0 0 0 5040 7308 | -| 1 | StirlingCyc2:Std | Rev | missing | 1 0 0 0 1 0 0 0 2 0 0 0 3 6 0 0 0 0 20 24 0 0 0 0 15 130 120 0 0 0 0 0 210 924 720 0 0 0 0 0 105 | -| 2 | StirlingCyc2:Std | Acc | missing | 1 0 0 0 1 1 0 2 2 2 0 6 9 9 9 0 24 44 44 44 44 0 120 250 265 265 265 265 0 720 1644 1854 1854 1854 | -| 3 | StirlingCyc2:Std | AccRev | missing | 1 0 0 0 1 1 0 0 2 2 0 0 3 9 9 0 0 0 20 44 44 0 0 0 15 145 265 265 0 0 0 0 210 1134 1854 1854 0 0 0 | -| 4 | StirlingCyc2:Std | AntiDiag | missing | 1 0 0 0 0 1 0 2 0 0 6 0 0 24 3 0 0 120 20 0 0 720 130 0 0 0 5040 924 15 0 0 40320 7308 210 0 0 0 | -| 5 | StirlingCyc2:Std | Diffx1 | missing | 1 0 0 0 2 0 0 4 0 0 0 12 9 0 0 0 48 60 0 0 0 0 240 390 60 0 0 0 0 1440 2772 840 0 0 0 0 0 10080 | -| 6 | StirlingCyc2:Std | RowSum | A000166 | 1 0 1 2 9 44 265 1854 14833 133496 1334961 14684570 176214841 2290792932 32071101049 481066515734 | -| 7 | StirlingCyc2:Std | EvenSum | A216778 | 1 0 0 0 3 20 130 924 7413 66744 667476 7342280 88107415 1145396460 16035550518 240533257860 | -| 8 | StirlingCyc2:Std | OddSum | A216779 | 0 0 1 2 6 24 135 930 7420 66752 667485 7342290 88107426 1145396472 16035550531 240533257874 | -| 9 | StirlingCyc2:Std | AltSum | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 10 | StirlingCyc2:Std | DiagSum | missing | 1 0 0 1 2 6 27 140 850 5979 47838 429484 4278713 46859940 559722780 7242575921 100933697302 | -| 11 | StirlingCyc2:Std | AccSum | missing | 1 0 2 6 33 200 1430 11634 106281 1076816 11982834 145281070 1906117785 26907579192 406649161750 | -| 12 | StirlingCyc2:Std | AccRevSum | missing | 1 0 2 4 21 108 690 5052 42049 391640 4036698 45618340 560889989 7454314788 106488455034 | -| 13 | StirlingCyc2:Std | RowLcm | missing | 1 1 1 2 6 120 1560 55440 2484720 530490240 1472289436800 3558122838547200 2088986264872103520000 | -| 14 | StirlingCyc2:Std | RowGcd | A330513 | 1 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | -| 15 | StirlingCyc2:Std | RowMax | missing | 1 0 1 2 6 24 130 924 7308 64224 623376 6636960 76998240 967524480 13096736640 190060335360 | -| 16 | StirlingCyc2:Std | ColMiddle | missing | 1 0 1 2 3 20 15 210 105 2520 945 34650 10395 540540 135135 9459450 2027025 183783600 34459425 | -| 17 | StirlingCyc2:Std | CentralE | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | -| 18 | StirlingCyc2:Std | CentralO | A000906 | 0 2 20 210 2520 34650 540540 9459450 183783600 3928374450 91662070500 2319050383650 63246828645000 | -| 19 | StirlingCyc2:Std | BinConv | missing | 1 0 2 6 42 320 2970 31794 385574 5212752 77619060 1260722100 22161819240 418880108712 8465984110402 | -| 20 | StirlingCyc2:Std | InvBinConv | missing | 1 0 -2 6 -6 -80 930 -7014 38374 -46416 -2993220 65145300 -991049400 12507197352 -125646425086 | -| 21 | StirlingCyc2:Std | TransNat0 | A162973 | 0 0 1 2 12 64 425 3198 27216 258144 2701737 30933770 384675148 5163521856 74417353985 1146203362822 | -| 22 | StirlingCyc2:Std | TransNat1 | missing | 1 0 2 4 21 108 690 5052 42049 391640 4036698 45618340 560889989 7454314788 106488455034 | -| 23 | StirlingCyc2:Std | TransSqrs | missing | 0 0 1 2 18 104 775 6306 57372 575424 6318549 75437570 973440094 13505157288 200514112747 | -| 24 | StirlingCyc2:Std | PosHalf | A053871 | 1 0 2 8 60 544 6040 79008 1190672 20314880 387099936 8148296320 187778717632 4702248334848 | -| 25 | StirlingCyc2:Std | NegHalf | A055142 | 1 0 -2 8 -36 224 -1880 19872 -251888 3712256 -62286624 1171487360 -24402416192 557542291968 | -| 26 | StirlingCyc2:Std | DiagRow1 | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 27 | StirlingCyc2:Std | DiagRow2 | B000007 | 0 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 28 | StirlingCyc2:Std | DiagRow3 | missing | 0 6 20 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 29 | StirlingCyc2:Std | DiagCol1 | B000142 | 0 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 30 | StirlingCyc2:Std | DiagCol2 | B000276 | 0 0 3 20 130 924 7308 64224 623376 6636960 76998240 967524480 13096736640 190060335360 | -| 31 | StirlingCyc2:Std | DiagCol3 | B000483 | 0 0 0 15 210 2380 26432 303660 3678840 47324376 647536032 9418945536 145410580224 2377609752960 | -| 32 | StirlingCyc2:Std | Poly | missing | 1 0 1 0 0 1 0 1 0 1 0 2 2 0 1 0 9 4 3 0 1 0 44 24 6 4 0 1 0 265 128 45 8 5 0 1 0 1854 880 252 72 10 | -| 33 | StirlingCyc2:Std | PolyRow2 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 34 | StirlingCyc2:Std | PolyRow3 | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 | -| 35 | StirlingCyc2:Std | PolyCol2 | A087981 | 1 0 2 4 24 128 880 6816 60032 589312 6384384 75630080 972387328 13483769856 200571078656 | -| 36 | StirlingCyc2:Std | PolyCol3 | A137775 | 1 0 3 6 45 252 1935 16146 153657 1616760 18699579 235498590 3207570597 46968796404 735689606535 | -| 37 | StirlingCyc2:Std | PolyDiag | A295182 | 1 0 2 6 72 620 8640 122346 2156672 41367672 905126400 21646532270 570077595648 16268377195044 | -| 38 | StirlingCyc2:Rev | Triangle | missing | 1 0 0 0 1 0 0 0 2 0 0 0 3 6 0 0 0 0 20 24 0 0 0 0 15 130 120 0 0 0 0 0 210 924 720 0 0 0 0 0 105 | -| 39 | StirlingCyc2:Rev | Acc | missing | 1 0 0 0 1 1 0 0 2 2 0 0 3 9 9 0 0 0 20 44 44 0 0 0 15 145 265 265 0 0 0 0 210 1134 1854 1854 0 0 0 | -| 40 | StirlingCyc2:Rev | AccRev | missing | 1 0 0 0 1 1 0 2 2 2 0 6 9 9 9 0 24 44 44 44 44 0 120 250 265 265 265 265 0 720 1644 1854 1854 1854 | -| 41 | StirlingCyc2:Rev | AntiDiag | missing | 1 0 0 0 0 1 0 0 0 0 0 2 0 0 3 0 0 0 0 6 0 0 0 20 0 0 0 0 15 24 0 0 0 0 130 0 0 0 0 0 210 120 0 0 0 | -| 42 | StirlingCyc2:Rev | Diffx1 | missing | 1 0 0 0 2 0 0 0 6 0 0 0 9 24 0 0 0 0 80 120 0 0 0 0 60 650 720 0 0 0 0 0 1050 5544 5040 0 0 0 0 0 | -| 43 | StirlingCyc2:Rev | RowSum | A000166 | 1 0 1 2 9 44 265 1854 14833 133496 1334961 14684570 176214841 2290792932 32071101049 481066515734 | -| 44 | StirlingCyc2:Rev | EvenSum | A003221 | 1 0 0 2 3 24 130 930 7413 66752 667476 7342290 88107415 1145396472 16035550518 240533257874 | -| 45 | StirlingCyc2:Rev | OddSum | A000387 | 0 0 1 0 6 20 135 924 7420 66744 667485 7342280 88107426 1145396460 16035550531 240533257860 | -| 46 | StirlingCyc2:Rev | AltSum | A023443 | 1 0 -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 16 -17 18 -19 20 -21 22 -23 24 -25 26 -27 28 -29 30 | -| 47 | StirlingCyc2:Rev | DiagSum | missing | 1 0 0 1 0 2 3 6 20 39 130 330 1029 3100 9828 32417 108324 378630 1339091 4907970 18276280 69947151 | -| 48 | StirlingCyc2:Rev | AccSum | missing | 1 0 2 4 21 108 690 5052 42049 391640 4036698 45618340 560889989 7454314788 106488455034 | -| 49 | StirlingCyc2:Rev | AccRevSum | missing | 1 0 2 6 33 200 1430 11634 106281 1076816 11982834 145281070 1906117785 26907579192 406649161750 | -| 50 | StirlingCyc2:Rev | RowLcm | missing | 1 1 1 2 6 120 1560 55440 2484720 530490240 1472289436800 3558122838547200 2088986264872103520000 | -| 51 | StirlingCyc2:Rev | RowGcd | A330513 | 1 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | -| 52 | StirlingCyc2:Rev | RowMax | missing | 1 0 1 2 6 24 130 924 7308 64224 623376 6636960 76998240 967524480 13096736640 190060335360 | -| 53 | StirlingCyc2:Rev | ColMiddle | A123023 | 1 0 1 0 3 0 15 0 105 0 945 0 10395 0 135135 0 2027025 0 34459425 0 654729075 0 13749310575 0 | -| 54 | StirlingCyc2:Rev | CentralE | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | -| 55 | StirlingCyc2:Rev | BinConv | missing | 1 0 2 6 42 320 2970 31794 385574 5212752 77619060 1260722100 22161819240 418880108712 8465984110402 | -| 56 | StirlingCyc2:Rev | InvBinConv | missing | 1 0 -2 -6 -6 80 930 7014 38374 46416 -2993220 -65145300 -991049400 -12507197352 -125646425086 | -| 57 | StirlingCyc2:Rev | TransNat0 | missing | 0 0 1 4 24 156 1165 9780 91448 943320 10647873 130596500 1729902944 24616786260 374578060701 | -| 58 | StirlingCyc2:Rev | TransNat1 | missing | 1 0 2 6 33 200 1430 11634 106281 1076816 11982834 145281070 1906117785 26907579192 406649161750 | -| 59 | StirlingCyc2:Rev | TransSqrs | missing | 0 0 1 8 66 564 5215 52380 571228 6742008 85779909 1171727600 17116173646 266397594540 4402764006771 | -| 60 | StirlingCyc2:Rev | PosHalf | A087981 | 1 0 2 4 24 128 880 6816 60032 589312 6384384 75630080 972387328 13483769856 200571078656 | -| 61 | StirlingCyc2:Rev | NegHalf | missing | 1 0 -2 -4 0 32 160 576 1792 5120 13824 35840 90112 221184 532480 1261568 2949120 6815744 15597568 | -| 62 | StirlingCyc2:Rev | DiagRow1 | B000142 | 0 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 63 | StirlingCyc2:Rev | DiagRow2 | B000276 | 0 0 3 20 130 924 7308 64224 623376 6636960 76998240 967524480 13096736640 190060335360 | -| 64 | StirlingCyc2:Rev | DiagRow3 | B000483 | 0 0 0 15 210 2380 26432 303660 3678840 47324376 647536032 9418945536 145410580224 2377609752960 | -| 65 | StirlingCyc2:Rev | DiagCol1 | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 66 | StirlingCyc2:Rev | DiagCol2 | B000007 | 0 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 67 | StirlingCyc2:Rev | DiagCol3 | missing | 0 6 20 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 68 | StirlingCyc2:Rev | Poly | missing | 1 0 1 0 0 1 0 1 0 1 0 2 2 0 1 0 9 8 3 0 1 0 44 60 18 4 0 1 0 265 544 189 32 5 0 1 0 1854 6040 2484 | -| 69 | StirlingCyc2:Rev | PolyRow2 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 70 | StirlingCyc2:Rev | PolyRow3 | A001105 | 0 2 8 18 32 50 72 98 128 162 200 242 288 338 392 450 512 578 648 722 800 882 968 1058 1152 1250 | -| 71 | StirlingCyc2:Rev | PolyCol2 | A053871 | 1 0 2 8 60 544 6040 79008 1190672 20314880 387099936 8148296320 187778717632 4702248334848 | -| 72 | StirlingCyc2:Rev | PolyCol3 | A033030 | 1 0 3 18 189 2484 40095 766422 16936857 424878696 11929019931 370616958810 12624017298453 | -| 73 | StirlingCyc2:Rev | PolyDiag | missing | 1 0 2 18 432 17500 1104840 100741158 12563812352 2057021043768 428298394500000 110573729001184570 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:-----------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | StirlingCyc2:Std | Triangle | A358622 | 1 0 0 0 1 0 0 2 0 0 0 6 3 0 0 0 24 20 0 0 0 0 120 130 15 0 0 0 0 720 924 210 0 0 0 0 0 5040 7308 | +| 1 | StirlingCyc2:Std | Rev | missing | 1 0 0 0 1 0 0 0 2 0 0 0 3 6 0 0 0 0 20 24 0 0 0 0 15 130 120 0 0 0 0 0 210 924 720 0 0 0 0 0 105 | +| 2 | StirlingCyc2:Std | Acc | missing | 1 0 0 0 1 1 0 2 2 2 0 6 9 9 9 0 24 44 44 44 44 0 120 250 265 265 265 265 0 720 1644 1854 1854 1854 | +| 3 | StirlingCyc2:Std | AccRev | missing | 1 0 0 0 1 1 0 0 2 2 0 0 3 9 9 0 0 0 20 44 44 0 0 0 15 145 265 265 0 0 0 0 210 1134 1854 1854 0 0 0 | +| 4 | StirlingCyc2:Std | AntiDiag | missing | 1 0 0 0 0 1 0 2 0 0 6 0 0 24 3 0 0 120 20 0 0 720 130 0 0 0 5040 924 15 0 0 40320 7308 210 0 0 0 | +| 5 | StirlingCyc2:Std | Diffx1 | missing | 1 0 0 0 2 0 0 4 0 0 0 12 9 0 0 0 48 60 0 0 0 0 240 390 60 0 0 0 0 1440 2772 840 0 0 0 0 0 10080 | +| 6 | StirlingCyc2:Std | RowSum | A000166 | 1 0 1 2 9 44 265 1854 14833 133496 1334961 14684570 176214841 2290792932 32071101049 481066515734 | +| 7 | StirlingCyc2:Std | EvenSum | A216778 | 1 0 0 0 3 20 130 924 7413 66744 667476 7342280 88107415 1145396460 16035550518 240533257860 | +| 8 | StirlingCyc2:Std | OddSum | A216779 | 0 0 1 2 6 24 135 930 7420 66752 667485 7342290 88107426 1145396472 16035550531 240533257874 | +| 9 | StirlingCyc2:Std | AltSum | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 10 | StirlingCyc2:Std | DiagSum | missing | 1 0 0 1 2 6 27 140 850 5979 47838 429484 4278713 46859940 559722780 7242575921 100933697302 | +| 11 | StirlingCyc2:Std | AccSum | missing | 1 0 2 6 33 200 1430 11634 106281 1076816 11982834 145281070 1906117785 26907579192 406649161750 | +| 12 | StirlingCyc2:Std | AccRevSum | missing | 1 0 2 4 21 108 690 5052 42049 391640 4036698 45618340 560889989 7454314788 106488455034 | +| 13 | StirlingCyc2:Std | RowLcm | missing | 1 1 1 2 6 120 1560 55440 2484720 530490240 1472289436800 3558122838547200 2088986264872103520000 | +| 14 | StirlingCyc2:Std | RowGcd | A330513 | 1 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 15 | StirlingCyc2:Std | RowMax | missing | 1 0 1 2 6 24 130 924 7308 64224 623376 6636960 76998240 967524480 13096736640 190060335360 | +| 16 | StirlingCyc2:Std | ColMiddle | missing | 1 0 1 2 3 20 15 210 105 2520 945 34650 10395 540540 135135 9459450 2027025 183783600 34459425 | +| 17 | StirlingCyc2:Std | CentralE | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | +| 18 | StirlingCyc2:Std | CentralO | A000906 | 0 2 20 210 2520 34650 540540 9459450 183783600 3928374450 91662070500 2319050383650 63246828645000 | +| 19 | StirlingCyc2:Std | BinConv | missing | 1 0 2 6 42 320 2970 31794 385574 5212752 77619060 1260722100 22161819240 418880108712 8465984110402 | +| 20 | StirlingCyc2:Std | InvBinConv | missing | 1 0 -2 6 -6 -80 930 -7014 38374 -46416 -2993220 65145300 -991049400 12507197352 -125646425086 | +| 21 | StirlingCyc2:Std | TransNat0 | A162973 | 0 0 1 2 12 64 425 3198 27216 258144 2701737 30933770 384675148 5163521856 74417353985 1146203362822 | +| 22 | StirlingCyc2:Std | TransNat1 | missing | 1 0 2 4 21 108 690 5052 42049 391640 4036698 45618340 560889989 7454314788 106488455034 | +| 23 | StirlingCyc2:Std | TransSqrs | missing | 0 0 1 2 18 104 775 6306 57372 575424 6318549 75437570 973440094 13505157288 200514112747 | +| 24 | StirlingCyc2:Std | PosHalf | A053871 | 1 0 2 8 60 544 6040 79008 1190672 20314880 387099936 8148296320 187778717632 4702248334848 | +| 25 | StirlingCyc2:Std | NegHalf | A055142 | 1 0 -2 8 -36 224 -1880 19872 -251888 3712256 -62286624 1171487360 -24402416192 557542291968 | +| 26 | StirlingCyc2:Std | DiagRow1 | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 27 | StirlingCyc2:Std | DiagRow2 | B000007 | 0 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 28 | StirlingCyc2:Std | DiagRow3 | missing | 0 6 20 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 29 | StirlingCyc2:Std | DiagCol1 | B000142 | 0 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 30 | StirlingCyc2:Std | DiagCol2 | B000276 | 0 0 3 20 130 924 7308 64224 623376 6636960 76998240 967524480 13096736640 190060335360 | +| 31 | StirlingCyc2:Std | DiagCol3 | B000483 | 0 0 0 15 210 2380 26432 303660 3678840 47324376 647536032 9418945536 145410580224 2377609752960 | +| 32 | StirlingCyc2:Std | Poly | missing | 1 0 1 0 0 1 0 1 0 1 0 2 2 0 1 0 9 4 3 0 1 0 44 24 6 4 0 1 0 265 128 45 8 5 0 1 0 1854 880 252 72 10 | +| 33 | StirlingCyc2:Std | PolyRow2 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 34 | StirlingCyc2:Std | PolyRow3 | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 | +| 35 | StirlingCyc2:Std | PolyCol2 | A087981 | 1 0 2 4 24 128 880 6816 60032 589312 6384384 75630080 972387328 13483769856 200571078656 | +| 36 | StirlingCyc2:Std | PolyCol3 | A137775 | 1 0 3 6 45 252 1935 16146 153657 1616760 18699579 235498590 3207570597 46968796404 735689606535 | +| 37 | StirlingCyc2:Std | PolyDiag | A295182 | 1 0 2 6 72 620 8640 122346 2156672 41367672 905126400 21646532270 570077595648 16268377195044 | +| 38 | StirlingCyc2:Alt | Triangle | A358622 | 1 0 0 0 -1 0 0 -2 0 0 0 -6 3 0 0 0 -24 20 0 0 0 0 -120 130 -15 0 0 0 0 -720 924 -210 0 0 0 0 0 | +| 39 | StirlingCyc2:Alt | Rev | missing | 1 0 0 0 -1 0 0 0 -2 0 0 0 3 -6 0 0 0 0 20 -24 0 0 0 0 -15 130 -120 0 0 0 0 0 -210 924 -720 0 0 0 0 | +| 40 | StirlingCyc2:Alt | Acc | missing | 1 0 0 0 -1 -1 0 -2 -2 -2 0 -6 -3 -3 -3 0 -24 -4 -4 -4 -4 0 -120 10 -5 -5 -5 -5 0 -720 204 -6 -6 -6 | +| 41 | StirlingCyc2:Alt | AccRev | missing | 1 0 0 0 -1 -1 0 0 -2 -2 0 0 3 -3 -3 0 0 0 20 -4 -4 0 0 0 -15 115 -5 -5 0 0 0 0 -210 714 -6 -6 0 0 0 | +| 42 | StirlingCyc2:Alt | AntiDiag | missing | 1 0 0 0 0 -1 0 -2 0 0 -6 0 0 -24 3 0 0 -120 20 0 0 -720 130 0 0 0 -5040 924 -15 0 0 -40320 7308 | +| 43 | StirlingCyc2:Alt | Diffx1 | missing | 1 0 0 0 -2 0 0 -4 0 0 0 -12 9 0 0 0 -48 60 0 0 0 0 -240 390 -60 0 0 0 0 -1440 2772 -840 0 0 0 0 0 | +| 44 | StirlingCyc2:Alt | RowSum | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 45 | StirlingCyc2:Alt | EvenSum | A216778 | 1 0 0 0 3 20 130 924 7413 66744 667476 7342280 88107415 1145396460 16035550518 240533257860 | +| 46 | StirlingCyc2:Alt | OddSum | A216779 | 0 0 -1 -2 -6 -24 -135 -930 -7420 -66752 -667485 -7342290 -88107426 -1145396472 -16035550531 | +| 47 | StirlingCyc2:Alt | AltSum | A000166 | 1 0 1 2 9 44 265 1854 14833 133496 1334961 14684570 176214841 2290792932 32071101049 481066515734 | +| 48 | StirlingCyc2:Alt | DiagSum | missing | 1 0 0 -1 -2 -6 -21 -100 -590 -4131 -33222 -301036 -3031751 -33580980 -405638100 -5306116321 | +| 49 | StirlingCyc2:Alt | AccSum | missing | 1 0 -2 -6 -15 -40 -130 -546 -2919 -18992 -144666 -1256750 -12232935 -131714232 -1553256874 | +| 50 | StirlingCyc2:Alt | AccRevSum | missing | 1 0 -2 -4 -3 12 90 492 2849 18904 144558 1256620 12232781 131714052 1553256666 19901596764 | +| 51 | StirlingCyc2:Alt | RowLcm | missing | 1 1 1 2 6 120 1560 55440 2484720 530490240 1472289436800 3558122838547200 2088986264872103520000 | +| 52 | StirlingCyc2:Alt | RowGcd | A330513 | 1 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 53 | StirlingCyc2:Alt | RowMax | missing | 1 0 1 2 6 24 130 924 7308 64224 623376 6636960 76998240 967524480 13096736640 190060335360 | +| 54 | StirlingCyc2:Alt | ColMiddle | missing | 1 0 -1 -2 3 20 -15 -210 105 2520 -945 -34650 10395 540540 -135135 -9459450 2027025 183783600 | +| 55 | StirlingCyc2:Alt | CentralE | A001147 | 1 -1 3 -15 105 -945 10395 -135135 2027025 -34459425 654729075 -13749310575 316234143225 | +| 56 | StirlingCyc2:Alt | CentralO | A000906 | 0 -2 20 -210 2520 -34650 540540 -9459450 183783600 -3928374450 91662070500 -2319050383650 | +| 57 | StirlingCyc2:Alt | BinConv | missing | 1 0 -2 -6 -6 80 930 7014 38374 46416 -2993220 -65145300 -991049400 -12507197352 -125646425086 | +| 58 | StirlingCyc2:Alt | InvBinConv | missing | 1 0 2 -6 42 -320 2970 -31794 385574 -5212752 77619060 -1260722100 22161819240 -418880108712 | +| 59 | StirlingCyc2:Alt | TransNat0 | missing | 0 0 -1 -2 0 16 95 498 2856 18912 144567 1256630 12232792 131714064 1553256679 19901596778 | +| 60 | StirlingCyc2:Alt | TransNat1 | missing | 1 0 -2 -4 -3 12 90 492 2849 18904 144558 1256620 12232781 131714052 1553256666 19901596764 | +| 61 | StirlingCyc2:Alt | TransSqrs | missing | 0 0 -1 -2 6 56 265 1086 4452 19008 79659 228350 -1544774 -51436488 -966644731 -16500909026 | +| 62 | StirlingCyc2:Alt | PosHalf | A055142 | 1 0 -2 -8 -36 -224 -1880 -19872 -251888 -3712256 -62286624 -1171487360 -24402416192 -557542291968 | +| 63 | StirlingCyc2:Alt | NegHalf | A053871 | 1 0 2 -8 60 -544 6040 -79008 1190672 -20314880 387099936 -8148296320 187778717632 -4702248334848 | +| 64 | StirlingCyc2:Alt | DiagRow1 | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 65 | StirlingCyc2:Alt | DiagRow2 | B000007 | 0 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 66 | StirlingCyc2:Alt | DiagRow3 | missing | 0 -6 20 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 67 | StirlingCyc2:Alt | DiagCol1 | B000142 | 0 -1 -2 -6 -24 -120 -720 -5040 -40320 -362880 -3628800 -39916800 -479001600 -6227020800 | +| 68 | StirlingCyc2:Alt | DiagCol2 | B000276 | 0 0 3 20 130 924 7308 64224 623376 6636960 76998240 967524480 13096736640 190060335360 | +| 69 | StirlingCyc2:Alt | DiagCol3 | B000483 | 0 0 0 -15 -210 -2380 -26432 -303660 -3678840 -47324376 -647536032 -9418945536 -145410580224 | +| 70 | StirlingCyc2:Alt | Poly | missing | 1 0 1 0 0 1 0 -1 0 1 0 -2 -2 0 1 0 -3 -4 -3 0 1 0 -4 0 -6 -4 0 1 0 -5 32 9 -8 -5 0 1 0 -6 160 108 | +| 71 | StirlingCyc2:Alt | PolyRow2 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 72 | StirlingCyc2:Alt | PolyRow3 | A005843 | 0 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 | +| 73 | StirlingCyc2:Alt | PolyCol2 | missing | 1 0 -2 -4 0 32 160 576 1792 5120 13824 35840 90112 221184 532480 1261568 2949120 6815744 15597568 | +| 74 | StirlingCyc2:Alt | PolyCol3 | missing | 1 0 -3 -6 9 108 405 486 -5103 -52488 -334611 -1771470 -8444007 -37555164 -158900859 -647295138 | +| 75 | StirlingCyc2:Alt | PolyDiag | A277423 | 1 0 -2 -6 24 380 720 -31794 -361088 2104056 101548800 612792290 -25534891008 -593660731404 | +| 76 | StirlingCyc2:Rev | Triangle | missing | 1 0 0 0 1 0 0 0 2 0 0 0 3 6 0 0 0 0 20 24 0 0 0 0 15 130 120 0 0 0 0 0 210 924 720 0 0 0 0 0 105 | +| 77 | StirlingCyc2:Rev | Acc | missing | 1 0 0 0 1 1 0 0 2 2 0 0 3 9 9 0 0 0 20 44 44 0 0 0 15 145 265 265 0 0 0 0 210 1134 1854 1854 0 0 0 | +| 78 | StirlingCyc2:Rev | AccRev | missing | 1 0 0 0 1 1 0 2 2 2 0 6 9 9 9 0 24 44 44 44 44 0 120 250 265 265 265 265 0 720 1644 1854 1854 1854 | +| 79 | StirlingCyc2:Rev | AntiDiag | missing | 1 0 0 0 0 1 0 0 0 0 0 2 0 0 3 0 0 0 0 6 0 0 0 20 0 0 0 0 15 24 0 0 0 0 130 0 0 0 0 0 210 120 0 0 0 | +| 80 | StirlingCyc2:Rev | Diffx1 | missing | 1 0 0 0 2 0 0 0 6 0 0 0 9 24 0 0 0 0 80 120 0 0 0 0 60 650 720 0 0 0 0 0 1050 5544 5040 0 0 0 0 0 | +| 81 | StirlingCyc2:Rev | RowSum | A000166 | 1 0 1 2 9 44 265 1854 14833 133496 1334961 14684570 176214841 2290792932 32071101049 481066515734 | +| 82 | StirlingCyc2:Rev | EvenSum | A003221 | 1 0 0 2 3 24 130 930 7413 66752 667476 7342290 88107415 1145396472 16035550518 240533257874 | +| 83 | StirlingCyc2:Rev | OddSum | A000387 | 0 0 1 0 6 20 135 924 7420 66744 667485 7342280 88107426 1145396460 16035550531 240533257860 | +| 84 | StirlingCyc2:Rev | AltSum | A023443 | 1 0 -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 16 -17 18 -19 20 -21 22 -23 24 -25 26 -27 28 -29 30 | +| 85 | StirlingCyc2:Rev | DiagSum | missing | 1 0 0 1 0 2 3 6 20 39 130 330 1029 3100 9828 32417 108324 378630 1339091 4907970 18276280 69947151 | +| 86 | StirlingCyc2:Rev | AccSum | missing | 1 0 2 4 21 108 690 5052 42049 391640 4036698 45618340 560889989 7454314788 106488455034 | +| 87 | StirlingCyc2:Rev | AccRevSum | missing | 1 0 2 6 33 200 1430 11634 106281 1076816 11982834 145281070 1906117785 26907579192 406649161750 | +| 88 | StirlingCyc2:Rev | RowLcm | missing | 1 1 1 2 6 120 1560 55440 2484720 530490240 1472289436800 3558122838547200 2088986264872103520000 | +| 89 | StirlingCyc2:Rev | RowGcd | A330513 | 1 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 90 | StirlingCyc2:Rev | RowMax | missing | 1 0 1 2 6 24 130 924 7308 64224 623376 6636960 76998240 967524480 13096736640 190060335360 | +| 91 | StirlingCyc2:Rev | ColMiddle | A123023 | 1 0 1 0 3 0 15 0 105 0 945 0 10395 0 135135 0 2027025 0 34459425 0 654729075 0 13749310575 0 | +| 92 | StirlingCyc2:Rev | CentralE | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | +| 93 | StirlingCyc2:Rev | BinConv | missing | 1 0 2 6 42 320 2970 31794 385574 5212752 77619060 1260722100 22161819240 418880108712 8465984110402 | +| 94 | StirlingCyc2:Rev | InvBinConv | missing | 1 0 -2 -6 -6 80 930 7014 38374 46416 -2993220 -65145300 -991049400 -12507197352 -125646425086 | +| 95 | StirlingCyc2:Rev | TransNat0 | missing | 0 0 1 4 24 156 1165 9780 91448 943320 10647873 130596500 1729902944 24616786260 374578060701 | +| 96 | StirlingCyc2:Rev | TransNat1 | missing | 1 0 2 6 33 200 1430 11634 106281 1076816 11982834 145281070 1906117785 26907579192 406649161750 | +| 97 | StirlingCyc2:Rev | TransSqrs | missing | 0 0 1 8 66 564 5215 52380 571228 6742008 85779909 1171727600 17116173646 266397594540 4402764006771 | +| 98 | StirlingCyc2:Rev | PosHalf | A087981 | 1 0 2 4 24 128 880 6816 60032 589312 6384384 75630080 972387328 13483769856 200571078656 | +| 99 | StirlingCyc2:Rev | NegHalf | missing | 1 0 -2 -4 0 32 160 576 1792 5120 13824 35840 90112 221184 532480 1261568 2949120 6815744 15597568 | +| 100 | StirlingCyc2:Rev | DiagRow1 | B000142 | 0 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 101 | StirlingCyc2:Rev | DiagRow2 | B000276 | 0 0 3 20 130 924 7308 64224 623376 6636960 76998240 967524480 13096736640 190060335360 | +| 102 | StirlingCyc2:Rev | DiagRow3 | B000483 | 0 0 0 15 210 2380 26432 303660 3678840 47324376 647536032 9418945536 145410580224 2377609752960 | +| 103 | StirlingCyc2:Rev | DiagCol1 | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 104 | StirlingCyc2:Rev | DiagCol2 | B000007 | 0 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 105 | StirlingCyc2:Rev | DiagCol3 | missing | 0 6 20 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 106 | StirlingCyc2:Rev | Poly | missing | 1 0 1 0 0 1 0 1 0 1 0 2 2 0 1 0 9 8 3 0 1 0 44 60 18 4 0 1 0 265 544 189 32 5 0 1 0 1854 6040 2484 | +| 107 | StirlingCyc2:Rev | PolyRow2 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 108 | StirlingCyc2:Rev | PolyRow3 | A001105 | 0 2 8 18 32 50 72 98 128 162 200 242 288 338 392 450 512 578 648 722 800 882 968 1058 1152 1250 | +| 109 | StirlingCyc2:Rev | PolyCol2 | A053871 | 1 0 2 8 60 544 6040 79008 1190672 20314880 387099936 8148296320 187778717632 4702248334848 | +| 110 | StirlingCyc2:Rev | PolyCol3 | A033030 | 1 0 3 18 189 2484 40095 766422 16936857 424878696 11929019931 370616958810 12624017298453 | +| 111 | StirlingCyc2:Rev | PolyDiag | missing | 1 0 2 18 432 17500 1104840 100741158 12563812352 2057021043768 428298394500000 110573729001184570 | \ No newline at end of file diff --git a/data/md/StirlingCycB.md b/data/md/StirlingCycB.md index d3a1350..de78ba5 100644 --- a/data/md/StirlingCycB.md +++ b/data/md/StirlingCycB.md @@ -40,124 +40,164 @@ | 37 | StirlingCycB:Std | PolyCol2 | B001147 | 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | | 38 | StirlingCycB:Std | PolyCol3 | B002866 | 1 4 24 192 1920 23040 322560 5160960 92897280 1857945600 40874803200 980995276800 25505877196800 | | 39 | StirlingCycB:Std | PolyDiag | missing | 1 2 15 192 3465 80640 2297295 77414400 3011753745 132843110400 6550564395375 357082280755200 | -| 40 | StirlingCycB:Rev | Triangle | A039758 | 1 1 1 1 4 3 1 9 23 15 1 16 86 176 105 1 25 230 950 1689 945 1 36 505 3480 12139 19524 10395 1 49 | -| 41 | StirlingCycB:Rev | InvRev | A039755 | 1 -1 1 1 -4 1 -1 13 -9 1 1 -40 58 -16 1 -1 121 -330 170 -25 1 1 -364 1771 -1520 395 -36 1 -1 1093 | -| 42 | StirlingCycB:Rev | Acc | missing | 1 1 2 1 5 8 1 10 33 48 1 17 103 279 384 1 26 256 1206 2895 3840 1 37 542 4022 16161 35685 46080 1 | -| 43 | StirlingCycB:Rev | AccRev | missing | 1 1 2 3 7 8 15 38 47 48 105 281 367 383 384 945 2634 3584 3814 3839 3840 10395 29919 42058 45538 | -| 44 | StirlingCycB:Rev | AntiDiag | missing | 1 1 1 1 1 4 1 9 3 1 16 23 1 25 86 15 1 36 230 176 1 49 505 950 105 1 64 973 3480 1689 1 81 1708 | -| 45 | StirlingCycB:Rev | Diffx1 | missing | 1 1 2 1 8 9 1 18 69 60 1 32 258 704 525 1 50 690 3800 8445 5670 1 72 1515 13920 60695 117144 72765 | -| 46 | StirlingCycB:Rev | RowSum | A000165 | 1 2 8 48 384 3840 46080 645120 10321920 185794560 3715891200 81749606400 1961990553600 | -| 47 | StirlingCycB:Rev | EvenSum | A002866 | 1 1 4 24 192 1920 23040 322560 5160960 92897280 1857945600 40874803200 980995276800 25505877196800 | -| 48 | StirlingCycB:Rev | OddSum | B002866 | 0 1 4 24 192 1920 23040 322560 5160960 92897280 1857945600 40874803200 980995276800 25505877196800 | -| 49 | StirlingCycB:Rev | DiagSum | A202153 | 1 1 2 5 13 40 127 443 1610 6207 24919 104440 453913 2042537 9488242 45403797 223433077 1128619968 | -| 50 | StirlingCycB:Rev | AccSum | missing | 1 3 14 92 784 8224 102528 1481472 24348672 448598016 9157754880 205186498560 5006225571840 | -| 51 | StirlingCycB:Rev | AccRevSum | missing | 1 3 18 148 1520 18656 266112 4324608 78870528 1595142144 35432939520 857558384640 22461642178560 | -| 52 | StirlingCycB:Rev | RowLcm | missing | 1 1 12 1035 794640 2324992950 4810656157072920 182911242997871793405 409032268138980471585600 | -| 53 | StirlingCycB:Rev | RowMax | A004041 | 1 1 4 23 176 1689 19524 264207 4098240 71697105 1396704420 29985521895 703416314160 17901641997225 | -| 54 | StirlingCycB:Rev | ColMiddle | missing | 1 1 4 9 86 230 3480 10045 208054 626934 16486680 51069018 1628301884 5141534684 192666441968 | -| 55 | StirlingCycB:Rev | CentralE | A293318 | 1 4 86 3480 208054 16486680 1628301884 192666441968 26569595376038 4184718381424152 | -| 56 | StirlingCycB:Rev | CentralO | missing | 1 9 230 10045 626934 51069018 5141534684 617014151325 86014818744998 13663776163658478 | -| 57 | StirlingCycB:Rev | ColRight | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | -| 58 | StirlingCycB:Rev | BinConv | missing | 1 2 12 112 1390 21316 387016 8089152 190810614 5004826108 144299948936 4531481715168 | -| 59 | StirlingCycB:Rev | InvBinConv | missing | 1 0 -4 -28 -146 -176 13096 332856 6220278 100254944 1315515816 7548862936 -376130570804 | -| 60 | StirlingCycB:Rev | TransNat0 | A197130 | 0 1 10 100 1136 14816 220032 3679488 68548608 1409347584 31717048320 775808778240 20499651624960 | -| 61 | StirlingCycB:Rev | TransNat1 | missing | 1 3 18 148 1520 18656 266112 4324608 78870528 1595142144 35432939520 857558384640 22461642178560 | -| 62 | StirlingCycB:Rev | TransSqrs | missing | 0 1 16 236 3624 60144 1089920 21578752 465321472 10881911808 274723540992 7454067646464 | -| 63 | StirlingCycB:Rev | PosHalf | B001147 | 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | -| 64 | StirlingCycB:Rev | NegHalf | A330797 | 1 -1 -1 -3 -15 -105 -945 -10395 -135135 -2027025 -34459425 -654729075 -13749310575 -316234143225 | -| 65 | StirlingCycB:Rev | DiagRow1 | A004041 | 1 4 23 176 1689 19524 264207 4098240 71697105 1396704420 29985521895 703416314160 17901641997225 | -| 66 | StirlingCycB:Rev | DiagRow2 | A028339 | 1 9 86 950 12139 177331 2924172 53809164 1094071221 24372200061 590546123298 15467069396610 | -| 67 | StirlingCycB:Rev | DiagRow3 | A028340 | 1 16 230 3480 57379 1038016 20570444 444647600 10431670821 264300628944 7198061846898 | -| 68 | StirlingCycB:Rev | DiagCol1 | A162395 | 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 | -| 69 | StirlingCycB:Rev | DiagCol2 | A024196 | 3 23 86 230 505 973 1708 2796 4335 6435 9218 12818 17381 23065 30040 38488 48603 60591 74670 91070 | -| 70 | StirlingCycB:Rev | DiagCol3 | A024197 | 15 176 950 3480 10045 24640 53676 106800 197835 345840 576290 922376 1426425 2141440 3132760 | -| 71 | StirlingCycB:Rev | Poly | missing | 1 1 1 1 2 1 1 8 3 1 1 48 21 4 1 1 384 231 40 5 1 1 3840 3465 640 65 6 1 1 46080 65835 14080 1365 96 | -| 72 | StirlingCycB:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 73 | StirlingCycB:Rev | PolyRow2 | B000567 | 1 8 21 40 65 96 133 176 225 280 341 408 481 560 645 736 833 936 1045 1160 1281 1408 1541 1680 1825 | -| 74 | StirlingCycB:Rev | PolyRow3 | missing | 1 48 231 640 1365 2496 4123 6336 9225 12880 17391 22848 29341 36960 45795 55936 67473 80496 95095 | -| 75 | StirlingCycB:Rev | PolyCol2 | A008545 | 1 3 21 231 3465 65835 1514205 40883535 1267389585 44358635475 1729986783525 74389431691575 | -| 76 | StirlingCycB:Rev | PolyCol3 | A049308 | 1 4 40 640 14080 394240 13404160 536166400 24663654400 1282510028800 74385581670400 | -| 77 | StirlingCycB:Rev | PolyDiag | missing | 1 2 21 640 39585 4133376 653309965 145494835200 43403901242625 16705186398208000 | -| 78 | StirlingCycB:Inv | Triangle | A039755 | 1 -1 1 1 -4 1 -1 13 -9 1 1 -40 58 -16 1 -1 121 -330 170 -25 1 1 -364 1771 -1520 395 -36 1 -1 1093 | -| 79 | StirlingCycB:Inv | Rev | A039756 | 1 1 -1 1 -4 1 1 -9 13 -1 1 -16 58 -40 1 1 -25 170 -330 121 -1 1 -36 395 -1520 1771 -364 1 1 -49 791 | -| 80 | StirlingCycB:Inv | RevInv | A039758 | 1 1 1 1 4 3 1 9 23 15 1 16 86 176 105 1 25 230 950 1689 945 1 36 505 3480 12139 19524 10395 1 49 | -| 81 | StirlingCycB:Inv | InvRev | missing | 1 -1 1 -5 4 1 55 -43 -13 1 2473 -1936 -578 40 1 -280259 219411 65478 -4510 -121 1 -106308421 | -| 82 | StirlingCycB:Inv | Acc | missing | 1 -1 0 1 -3 -2 -1 12 3 4 1 -39 19 3 4 -1 120 -210 -40 -65 -64 1 -363 1408 -112 283 247 248 -1 1092 | -| 83 | StirlingCycB:Inv | AccRev | missing | 1 1 0 1 -3 -2 1 -8 5 4 1 -15 43 3 4 1 -24 146 -184 -63 -64 1 -35 360 -1160 611 247 248 1 -48 743 | -| 84 | StirlingCycB:Inv | AntiDiag | missing | 1 -1 1 1 -1 -4 1 13 1 -1 -40 -9 1 121 58 1 -1 -364 -330 -16 1 1093 1771 170 1 -1 -3280 -9219 -1520 | -| 85 | StirlingCycB:Inv | Diffx1 | missing | 1 -1 2 1 -8 3 -1 26 -27 4 1 -80 174 -64 5 -1 242 -990 680 -125 6 1 -728 5313 -6080 1975 -216 7 -1 | -| 86 | StirlingCycB:Inv | RowSum | A334190 | 1 0 -2 4 4 -64 248 -48 -6512 51200 -171296 -830400 17870400 -144684032 441316224 5976726784 | -| 87 | StirlingCycB:Inv | EvenSum | missing | 1 -1 2 -10 60 -356 2168 -14344 106704 -890512 8129440 -79192224 812374720 -8747469888 98997480832 | -| 88 | StirlingCycB:Inv | OddSum | missing | 0 1 -4 14 -56 292 -1920 14296 -113216 941712 -8300736 78361824 -794504320 8602785856 -98556164608 | -| 89 | StirlingCycB:Inv | AltSum | A007405 | 1 -2 6 -24 116 -648 4088 -28640 219920 -1832224 16430176 -157554048 1606879040 -17350255744 | -| 90 | StirlingCycB:Inv | DiagSum | missing | 1 -1 2 -5 15 -50 181 -711 3036 -14045 69837 -369952 2073253 -12235885 75836242 -492557937 | -| 91 | StirlingCycB:Inv | AccSum | missing | 1 -1 -4 18 -12 -260 1712 -3640 -33008 426352 -2299456 -1029600 159973184 -1804918336 9608106752 | -| 92 | StirlingCycB:Inv | AccRevSum | missing | 1 1 -4 2 36 -188 272 3208 -32112 136848 243904 -9765600 90212416 -365342144 -2547047168 65916404864 | -| 93 | StirlingCycB:Inv | RowLcm | missing | 1 1 4 117 2320 308550 24881416560 3415119838107075 10927777609869120 8184449743464324553963740 | -| 94 | StirlingCycB:Inv | RowGcd | B297382 | 1 1 4 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 95 | StirlingCycB:Inv | RowMax | missing | 1 1 4 13 58 330 1771 12411 96096 719860 6289690 61885450 595122671 5929706783 70856013228 | -| 96 | StirlingCycB:Inv | ColMiddle | missing | 1 -1 -4 13 58 -330 -1520 12411 58086 -618870 -2924712 38461522 182959876 -2863440580 -13685763520 | -| 97 | StirlingCycB:Inv | CentralE | missing | 1 -4 58 -1520 58086 -2924712 182959876 -13685763520 1191663940038 -118406147270840 | -| 98 | StirlingCycB:Inv | CentralO | B348087 | -1 13 -330 12411 -618870 38461522 -2863440580 248440887123 -24616763946918 2742625188929990 | -| 99 | StirlingCycB:Inv | BinConv | missing | 1 0 -6 12 126 -1120 -308 87080 -752314 -2251680 128688828 -1301351480 -5093196628 349093094272 | -| 100 | StirlingCycB:Inv | InvBinConv | missing | 1 2 10 68 574 5732 65292 830216 11606854 176361980 2886472156 50523676216 940246612268 | -| 101 | StirlingCycB:Inv | TransNat0 | missing | 0 1 -2 -2 32 -124 24 3256 -25600 85648 415200 -8935200 72342016 -220658112 -2988363392 59939678080 | -| 102 | StirlingCycB:Inv | TransNat1 | missing | 1 1 -4 2 36 -188 272 3208 -32112 136848 243904 -9765600 90212416 -365342144 -2547047168 65916404864 | -| 103 | StirlingCycB:Inv | TransSqrs | missing | 0 1 0 -14 64 -44 -1504 12776 -46080 -182000 4381952 -36586208 119264256 1421839680 -29749180928 | -| 104 | StirlingCycB:Inv | PosHalf | missing | 1 -1 -3 27 -103 -105 6101 -64141 350129 1270447 -63509459 965614155 -8377825207 -7124350649 | -| 105 | StirlingCycB:Inv | NegHalf | A355165 | 1 3 13 79 601 5339 53861 607527 7560625 102637235 1506225085 23726435583 398852249097 7120170905995 | -| 106 | StirlingCycB:Inv | DiagRow1 | A162395 | -1 -4 -9 -16 -25 -36 -49 -64 -81 -100 -121 -144 -169 -196 -225 -256 -289 -324 -361 -400 -441 -484 | -| 107 | StirlingCycB:Inv | DiagRow2 | B103220 | 1 13 58 170 395 791 1428 2388 3765 5665 8206 11518 15743 21035 27560 35496 45033 56373 69730 85330 | -| 108 | StirlingCycB:Inv | DiagRow3 | missing | -1 -40 -330 -1520 -5075 -13776 -32340 -68160 -132165 -239800 -412126 -677040 -1070615 -1638560 | -| 109 | StirlingCycB:Inv | DiagCol1 | B003462 | 1 -4 13 -40 121 -364 1093 -3280 9841 -29524 88573 -265720 797161 -2391484 7174453 -21523360 | -| 110 | StirlingCycB:Inv | DiagCol2 | A016209 | 1 -9 58 -330 1771 -9219 47188 -239220 1205941 -6059229 30384718 -152189310 761743711 -3811110039 | -| 111 | StirlingCycB:Inv | DiagCol3 | A021424 | 1 -16 170 -1520 12411 -96096 719860 -5278240 38153621 -273134576 1942326750 -13748476560 | -| 112 | StirlingCycB:Inv | Poly | missing | 1 -1 1 1 0 1 -1 -2 1 1 1 4 -3 2 1 -1 4 -3 -2 3 1 1 -64 41 -16 1 4 1 -1 248 -87 52 -29 6 5 1 1 -48 | -| 113 | StirlingCycB:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | -| 114 | StirlingCycB:Inv | PolyRow2 | B123968 | 1 -2 -3 -2 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 673 | -| 115 | StirlingCycB:Inv | PolyRow3 | missing | -1 4 -3 -16 -29 -36 -31 -8 39 116 229 384 587 844 1161 1544 1999 2532 3149 3856 4659 5564 6577 7704 | -| 116 | StirlingCycB:Inv | PolyCol2 | A308645 | 1 1 -3 -3 41 -87 -571 5701 -14575 -156655 2094925 -9148851 -63364423 1474212665 -11494853995 | -| 117 | StirlingCycB:Inv | PolyCol3 | missing | 1 2 -2 -16 52 200 -2216 3008 85264 -742624 39904 57578240 -559969472 54927488 63964454272 | -| 118 | StirlingCycB:Inv | PolyDiag | missing | 1 0 -3 -16 1 1104 11893 -19104 -2797951 -41382784 209758861 22229683200 390747598657 -4304791023872 | -| 119 | StirlingCycB:Inv:Rev | Triangle | A039756 | 1 1 -1 1 -4 1 1 -9 13 -1 1 -16 58 -40 1 1 -25 170 -330 121 -1 1 -36 395 -1520 1771 -364 1 1 -49 791 | -| 120 | StirlingCycB:Inv:Rev | Rev | A039755 | 1 -1 1 1 -4 1 -1 13 -9 1 1 -40 58 -16 1 -1 121 -330 170 -25 1 1 -364 1771 -1520 395 -36 1 -1 1093 | -| 121 | StirlingCycB:Inv:Rev | Inv | missing | 1 -1 1 -5 4 1 55 -43 -13 1 2473 -1936 -578 40 1 -280259 219411 65478 -4510 -121 1 -106308421 | -| 122 | StirlingCycB:Inv:Rev | RevInv | missing | 1 1 -1 1 4 -5 1 -13 -43 55 1 40 -578 -1936 2473 1 -121 -4510 65478 219411 -280259 1 364 -45815 | -| 123 | StirlingCycB:Inv:Rev | InvRev | A028338 | 1 1 1 3 4 1 15 23 9 1 105 176 86 16 1 945 1689 950 230 25 1 10395 19524 12139 3480 505 36 1 135135 | -| 124 | StirlingCycB:Inv:Rev | Acc | missing | 1 1 0 1 -3 -2 1 -8 5 4 1 -15 43 3 4 1 -24 146 -184 -63 -64 1 -35 360 -1160 611 247 248 1 -48 743 | -| 125 | StirlingCycB:Inv:Rev | AccRev | missing | 1 -1 0 1 -3 -2 -1 12 3 4 1 -39 19 3 4 -1 120 -210 -40 -65 -64 1 -363 1408 -112 283 247 248 -1 1092 | -| 126 | StirlingCycB:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -4 1 -9 1 1 -16 13 1 -25 58 -1 1 -36 170 -40 1 -49 395 -330 1 1 -64 791 -1520 121 1 -81 | -| 127 | StirlingCycB:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -8 3 1 -18 39 -4 1 -32 174 -160 5 1 -50 510 -1320 605 -6 1 -72 1185 -6080 8855 -2184 7 1 | -| 128 | StirlingCycB:Inv:Rev | RowSum | A334190 | 1 0 -2 4 4 -64 248 -48 -6512 51200 -171296 -830400 17870400 -144684032 441316224 5976726784 | -| 129 | StirlingCycB:Inv:Rev | EvenSum | missing | 1 1 2 14 60 292 2168 14296 106704 941712 8129440 78361824 812374720 8602785856 98997480832 | -| 130 | StirlingCycB:Inv:Rev | OddSum | missing | 0 -1 -4 -10 -56 -356 -1920 -14344 -113216 -890512 -8300736 -79192224 -794504320 -8747469888 | -| 131 | StirlingCycB:Inv:Rev | AltSum | A007405 | 1 2 6 24 116 648 4088 28640 219920 1832224 16430176 157554048 1606879040 17350255744 197553645440 | -| 132 | StirlingCycB:Inv:Rev | DiagSum | missing | 1 1 0 -3 -7 -2 33 95 18 -671 -1957 560 20173 51981 -65768 -784167 -1562147 5090422 36158029 | -| 133 | StirlingCycB:Inv:Rev | AccSum | missing | 1 1 -4 2 36 -188 272 3208 -32112 136848 243904 -9765600 90212416 -365342144 -2547047168 65916404864 | -| 134 | StirlingCycB:Inv:Rev | AccRevSum | missing | 1 -1 -4 18 -12 -260 1712 -3640 -33008 426352 -2299456 -1029600 159973184 -1804918336 9608106752 | -| 135 | StirlingCycB:Inv:Rev | RowLcm | missing | 1 1 4 117 2320 308550 24881416560 3415119838107075 10927777609869120 8184449743464324553963740 | -| 136 | StirlingCycB:Inv:Rev | RowGcd | B297382 | 1 1 4 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 137 | StirlingCycB:Inv:Rev | RowMax | missing | 1 1 4 13 58 330 1771 12411 96096 719860 6289690 61885450 595122671 5929706783 70856013228 | -| 138 | StirlingCycB:Inv:Rev | ColMiddle | missing | 1 1 -4 -9 58 170 -1520 -5075 58086 209622 -2924712 -11115258 182959876 721488196 -13685763520 | -| 139 | StirlingCycB:Inv:Rev | CentralE | missing | 1 -4 58 -1520 58086 -2924712 182959876 -13685763520 1191663940038 -118406147270840 | -| 140 | StirlingCycB:Inv:Rev | CentralO | missing | 1 -9 170 -5075 209622 -11115258 721488196 -55483708995 4936283332838 -498999482959406 | -| 141 | StirlingCycB:Inv:Rev | BinConv | missing | 1 0 -6 12 126 -1120 -308 87080 -752314 -2251680 128688828 -1301351480 -5093196628 349093094272 | -| 142 | StirlingCycB:Inv:Rev | InvBinConv | missing | 1 -2 10 -68 574 -5732 65292 -830216 11606854 -176361980 2886472156 -50523676216 940246612268 | -| 143 | StirlingCycB:Inv:Rev | TransNat0 | missing | 0 -1 -2 14 -16 -196 1464 -3592 -26496 375152 -2128160 -199200 142102784 -1660234304 9166790528 | -| 144 | StirlingCycB:Inv:Rev | TransNat1 | missing | 1 -1 -4 18 -12 -260 1712 -3640 -33008 426352 -2299456 -1029600 159973184 -1804918336 9608106752 | -| 145 | StirlingCycB:Inv:Rev | TransSqrs | missing | 0 -1 0 34 -128 -404 7136 -35160 -53248 2423536 -21051648 59509792 956393472 -17292650816 | -| 146 | StirlingCycB:Inv:Rev | PosHalf | A308645 | 1 1 -3 -3 41 -87 -571 5701 -14575 -156655 2094925 -9148851 -63364423 1474212665 -11494853995 | -| 147 | StirlingCycB:Inv:Rev | NegHalf | A126390 | 1 -3 13 -71 457 -3355 27509 -248127 2434129 -25741939 291397789 -3510328695 44782460313 | -| 148 | StirlingCycB:Inv:Rev | DiagRow1 | B003462 | 1 -4 13 -40 121 -364 1093 -3280 9841 -29524 88573 -265720 797161 -2391484 7174453 -21523360 | -| 149 | StirlingCycB:Inv:Rev | DiagRow2 | A016209 | 1 -9 58 -330 1771 -9219 47188 -239220 1205941 -6059229 30384718 -152189310 761743711 -3811110039 | -| 150 | StirlingCycB:Inv:Rev | DiagRow3 | A021424 | 1 -16 170 -1520 12411 -96096 719860 -5278240 38153621 -273134576 1942326750 -13748476560 | -| 151 | StirlingCycB:Inv:Rev | DiagCol1 | A162395 | -1 -4 -9 -16 -25 -36 -49 -64 -81 -100 -121 -144 -169 -196 -225 -256 -289 -324 -361 -400 -441 -484 | -| 152 | StirlingCycB:Inv:Rev | DiagCol2 | B103220 | 1 13 58 170 395 791 1428 2388 3765 5665 8206 11518 15743 21035 27560 35496 45033 56373 69730 85330 | -| 153 | StirlingCycB:Inv:Rev | DiagCol3 | missing | -1 -40 -330 -1520 -5075 -13776 -32340 -68160 -132165 -239800 -412126 -677040 -1070615 -1638560 | -| 154 | StirlingCycB:Inv:Rev | Poly | missing | 1 1 1 1 0 1 1 -2 -1 1 1 4 -3 -2 1 1 4 27 -2 -3 1 1 -64 -103 64 1 -4 1 1 248 -105 -524 109 6 -5 1 1 | -| 155 | StirlingCycB:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 156 | StirlingCycB:Inv:Rev | PolyRow2 | B123968 | 1 -2 -3 -2 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 673 | -| 157 | StirlingCycB:Inv:Rev | PolyRow3 | missing | 1 4 27 64 109 156 199 232 249 244 211 144 37 -116 -321 -584 -911 -1308 -1781 -2336 -2979 -3716 | -| 158 | StirlingCycB:Inv:Rev | PolyCol2 | missing | 1 -1 -3 27 -103 -105 6101 -64141 350129 1270447 -63509459 965614155 -8377825207 -7124350649 | -| 159 | StirlingCycB:Inv:Rev | PolyCol3 | missing | 1 -2 -2 64 -524 2104 18136 -570368 8227600 -68107040 -288688160 26416365568 -660041056448 | -| 160 | StirlingCycB:Inv:Rev | PolyDiag | missing | 1 0 -3 64 -1439 35376 -802907 919584 2590253825 -373575072896 44301151435501 -4951308848044800 | \ No newline at end of file +| 40 | StirlingCycB:Alt | Triangle | A028338 | 1 1 -1 3 -4 1 15 -23 9 -1 105 -176 86 -16 1 945 -1689 950 -230 25 -1 10395 -19524 12139 -3480 505 | +| 41 | StirlingCycB:Alt | Rev | A039758 | 1 -1 1 1 -4 3 -1 9 -23 15 1 -16 86 -176 105 -1 25 -230 950 -1689 945 1 -36 505 -3480 12139 -19524 | +| 42 | StirlingCycB:Alt | Inv | missing | 1 -1 1 -7 4 1 25 -13 -9 1 721 -376 -230 16 1 -8259 4299 2730 -170 -25 1 -519375 270372 170971 | +| 43 | StirlingCycB:Alt | RevInv | missing | 1 1 -1 1 4 -7 1 -9 -13 25 1 16 -230 -376 721 1 -25 -170 2730 4299 -8259 1 36 -1405 -10720 170971 | +| 44 | StirlingCycB:Alt | Acc | missing | 1 1 0 3 -1 0 15 -8 1 0 105 -71 15 -1 0 945 -744 206 -24 1 0 10395 -9129 3010 -470 35 -1 0 135135 | +| 45 | StirlingCycB:Alt | AccRev | missing | 1 -1 0 1 -3 0 -1 8 -15 0 1 -15 71 -105 0 -1 24 -206 744 -945 0 1 -35 470 -3010 9129 -10395 0 -1 48 | +| 46 | StirlingCycB:Alt | AntiDiag | missing | 1 1 3 -1 15 -4 105 -23 1 945 -176 9 10395 -1689 86 -1 135135 -19524 950 -16 2027025 -264207 12139 | +| 47 | StirlingCycB:Alt | Diffx1 | missing | 1 1 -2 3 -8 3 15 -46 27 -4 105 -352 258 -64 5 945 -3378 2850 -920 125 -6 10395 -39048 36417 -13920 | +| 48 | StirlingCycB:Alt | EvenSum | A002866 | 1 1 4 24 192 1920 23040 322560 5160960 92897280 1857945600 40874803200 980995276800 25505877196800 | +| 49 | StirlingCycB:Alt | OddSum | B002866 | 0 -1 -4 -24 -192 -1920 -23040 -322560 -5160960 -92897280 -1857945600 -40874803200 -980995276800 | +| 50 | StirlingCycB:Alt | AltSum | A000165 | 1 2 8 48 384 3840 46080 645120 10321920 185794560 3715891200 81749606400 1961990553600 | +| 51 | StirlingCycB:Alt | DiagSum | missing | 1 1 2 11 83 778 8791 116545 1774728 30535061 585899267 12405387312 287322329189 7226369369269 | +| 52 | StirlingCycB:Alt | AccSum | A000165 | 1 1 2 8 48 384 3840 46080 645120 10321920 185794560 3715891200 81749606400 1961990553600 | +| 53 | StirlingCycB:Alt | AccRevSum | A000165 | 1 -1 -2 -8 -48 -384 -3840 -46080 -645120 -10321920 -185794560 -3715891200 -81749606400 | +| 54 | StirlingCycB:Alt | RowLcm | missing | 1 1 12 1035 794640 2324992950 4810656157072920 182911242997871793405 409032268138980471585600 | +| 55 | StirlingCycB:Alt | RowMax | A004041 | 1 1 4 23 176 1689 19524 264207 4098240 71697105 1396704420 29985521895 703416314160 17901641997225 | +| 56 | StirlingCycB:Alt | ColMiddle | missing | 1 1 -4 -23 86 950 -3480 -57379 208054 4574934 -16486680 -453714470 1628301884 53845005500 | +| 57 | StirlingCycB:Alt | CentralE | A293318 | 1 -4 86 -3480 208054 -16486680 1628301884 -192666441968 26569595376038 -4184718381424152 | +| 58 | StirlingCycB:Alt | CentralO | missing | 1 -23 950 -57379 4574934 -453714470 53845005500 -7442156684963 1174199725349222 -208251057899323218 | +| 59 | StirlingCycB:Alt | ColLeft | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | +| 60 | StirlingCycB:Alt | BinConv | missing | 1 0 -4 -28 -146 -176 13096 332856 6220278 100254944 1315515816 7548862936 -376130570804 | +| 61 | StirlingCycB:Alt | InvBinConv | missing | 1 -2 12 -112 1390 -21316 387016 -8089152 190810614 -5004826108 144299948936 -4531481715168 | +| 62 | StirlingCycB:Alt | TransNat0 | A000165 | 0 -1 -2 -8 -48 -384 -3840 -46080 -645120 -10321920 -185794560 -3715891200 -81749606400 | +| 63 | StirlingCycB:Alt | TransNat1 | A000165 | 1 -1 -2 -8 -48 -384 -3840 -46080 -645120 -10321920 -185794560 -3715891200 -81749606400 | +| 64 | StirlingCycB:Alt | TransSqrs | missing | 0 -1 0 4 40 416 4928 66816 1027584 17731584 339812352 7167836160 165124177920 4126479482880 | +| 65 | StirlingCycB:Alt | PosHalf | A007696 | 1 1 5 45 585 9945 208845 5221125 151412625 4996616625 184874815125 7579867420125 341094033905625 | +| 66 | StirlingCycB:Alt | NegHalf | A008545 | 1 -3 21 -231 3465 -65835 1514205 -40883535 1267389585 -44358635475 1729986783525 -74389431691575 | +| 67 | StirlingCycB:Alt | DiagRow1 | A162395 | 1 -4 9 -16 25 -36 49 -64 81 -100 121 -144 169 -196 225 -256 289 -324 361 -400 441 -484 529 -576 625 | +| 68 | StirlingCycB:Alt | DiagRow2 | A024196 | 3 -23 86 -230 505 -973 1708 -2796 4335 -6435 9218 -12818 17381 -23065 30040 -38488 48603 -60591 | +| 69 | StirlingCycB:Alt | DiagRow3 | A024197 | 15 -176 950 -3480 10045 -24640 53676 -106800 197835 -345840 576290 -922376 1426425 -2141440 3132760 | +| 70 | StirlingCycB:Alt | DiagCol1 | A004041 | -1 -4 -23 -176 -1689 -19524 -264207 -4098240 -71697105 -1396704420 -29985521895 -703416314160 | +| 71 | StirlingCycB:Alt | DiagCol2 | A028339 | 1 9 86 950 12139 177331 2924172 53809164 1094071221 24372200061 590546123298 15467069396610 | +| 72 | StirlingCycB:Alt | DiagCol3 | A028340 | -1 -16 -230 -3480 -57379 -1038016 -20570444 -444647600 -10431670821 -264300628944 -7198061846898 | +| 73 | StirlingCycB:Alt | Poly | missing | 1 1 1 3 0 1 15 0 -1 1 105 0 -1 -2 1 945 0 -3 0 -3 1 10395 0 -15 0 3 -4 1 135135 0 -105 0 3 8 -5 1 | +| 74 | StirlingCycB:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | StirlingCycB:Alt | PolyRow2 | A067998 | 3 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 | +| 76 | StirlingCycB:Alt | PolyRow3 | missing | 15 0 -3 0 3 0 -15 -48 -105 -192 -315 -480 -693 -960 -1287 -1680 -2145 -2688 -3315 -4032 -4845 -5760 | +| 77 | StirlingCycB:Alt | PolyCol2 | A330797 | 1 -1 -1 -3 -15 -105 -945 -10395 -135135 -2027025 -34459425 -654729075 -13749310575 -316234143225 | +| 78 | StirlingCycB:Alt | PolyCol3 | A130706 | 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 79 | StirlingCycB:Alt | PolyDiag | A177145 | 1 0 -1 0 9 0 -225 0 11025 0 -893025 0 108056025 0 -18261468225 0 4108830350625 0 -1187451971330625 | +| 80 | StirlingCycB:Rev | Triangle | A039758 | 1 1 1 1 4 3 1 9 23 15 1 16 86 176 105 1 25 230 950 1689 945 1 36 505 3480 12139 19524 10395 1 49 | +| 81 | StirlingCycB:Rev | InvRev | A039755 | 1 -1 1 1 -4 1 -1 13 -9 1 1 -40 58 -16 1 -1 121 -330 170 -25 1 1 -364 1771 -1520 395 -36 1 -1 1093 | +| 82 | StirlingCycB:Rev | Acc | missing | 1 1 2 1 5 8 1 10 33 48 1 17 103 279 384 1 26 256 1206 2895 3840 1 37 542 4022 16161 35685 46080 1 | +| 83 | StirlingCycB:Rev | AccRev | missing | 1 1 2 3 7 8 15 38 47 48 105 281 367 383 384 945 2634 3584 3814 3839 3840 10395 29919 42058 45538 | +| 84 | StirlingCycB:Rev | AntiDiag | missing | 1 1 1 1 1 4 1 9 3 1 16 23 1 25 86 15 1 36 230 176 1 49 505 950 105 1 64 973 3480 1689 1 81 1708 | +| 85 | StirlingCycB:Rev | Diffx1 | missing | 1 1 2 1 8 9 1 18 69 60 1 32 258 704 525 1 50 690 3800 8445 5670 1 72 1515 13920 60695 117144 72765 | +| 86 | StirlingCycB:Rev | RowSum | A000165 | 1 2 8 48 384 3840 46080 645120 10321920 185794560 3715891200 81749606400 1961990553600 | +| 87 | StirlingCycB:Rev | EvenSum | A002866 | 1 1 4 24 192 1920 23040 322560 5160960 92897280 1857945600 40874803200 980995276800 25505877196800 | +| 88 | StirlingCycB:Rev | OddSum | B002866 | 0 1 4 24 192 1920 23040 322560 5160960 92897280 1857945600 40874803200 980995276800 25505877196800 | +| 89 | StirlingCycB:Rev | DiagSum | A202153 | 1 1 2 5 13 40 127 443 1610 6207 24919 104440 453913 2042537 9488242 45403797 223433077 1128619968 | +| 90 | StirlingCycB:Rev | AccSum | missing | 1 3 14 92 784 8224 102528 1481472 24348672 448598016 9157754880 205186498560 5006225571840 | +| 91 | StirlingCycB:Rev | AccRevSum | missing | 1 3 18 148 1520 18656 266112 4324608 78870528 1595142144 35432939520 857558384640 22461642178560 | +| 92 | StirlingCycB:Rev | RowLcm | missing | 1 1 12 1035 794640 2324992950 4810656157072920 182911242997871793405 409032268138980471585600 | +| 93 | StirlingCycB:Rev | RowMax | A004041 | 1 1 4 23 176 1689 19524 264207 4098240 71697105 1396704420 29985521895 703416314160 17901641997225 | +| 94 | StirlingCycB:Rev | ColMiddle | missing | 1 1 4 9 86 230 3480 10045 208054 626934 16486680 51069018 1628301884 5141534684 192666441968 | +| 95 | StirlingCycB:Rev | CentralE | A293318 | 1 4 86 3480 208054 16486680 1628301884 192666441968 26569595376038 4184718381424152 | +| 96 | StirlingCycB:Rev | CentralO | missing | 1 9 230 10045 626934 51069018 5141534684 617014151325 86014818744998 13663776163658478 | +| 97 | StirlingCycB:Rev | ColRight | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | +| 98 | StirlingCycB:Rev | BinConv | missing | 1 2 12 112 1390 21316 387016 8089152 190810614 5004826108 144299948936 4531481715168 | +| 99 | StirlingCycB:Rev | InvBinConv | missing | 1 0 -4 -28 -146 -176 13096 332856 6220278 100254944 1315515816 7548862936 -376130570804 | +| 100 | StirlingCycB:Rev | TransNat0 | A197130 | 0 1 10 100 1136 14816 220032 3679488 68548608 1409347584 31717048320 775808778240 20499651624960 | +| 101 | StirlingCycB:Rev | TransNat1 | missing | 1 3 18 148 1520 18656 266112 4324608 78870528 1595142144 35432939520 857558384640 22461642178560 | +| 102 | StirlingCycB:Rev | TransSqrs | missing | 0 1 16 236 3624 60144 1089920 21578752 465321472 10881911808 274723540992 7454067646464 | +| 103 | StirlingCycB:Rev | PosHalf | B001147 | 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | +| 104 | StirlingCycB:Rev | NegHalf | A330797 | 1 -1 -1 -3 -15 -105 -945 -10395 -135135 -2027025 -34459425 -654729075 -13749310575 -316234143225 | +| 105 | StirlingCycB:Rev | DiagRow1 | A004041 | 1 4 23 176 1689 19524 264207 4098240 71697105 1396704420 29985521895 703416314160 17901641997225 | +| 106 | StirlingCycB:Rev | DiagRow2 | A028339 | 1 9 86 950 12139 177331 2924172 53809164 1094071221 24372200061 590546123298 15467069396610 | +| 107 | StirlingCycB:Rev | DiagRow3 | A028340 | 1 16 230 3480 57379 1038016 20570444 444647600 10431670821 264300628944 7198061846898 | +| 108 | StirlingCycB:Rev | DiagCol1 | A162395 | 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 | +| 109 | StirlingCycB:Rev | DiagCol2 | A024196 | 3 23 86 230 505 973 1708 2796 4335 6435 9218 12818 17381 23065 30040 38488 48603 60591 74670 91070 | +| 110 | StirlingCycB:Rev | DiagCol3 | A024197 | 15 176 950 3480 10045 24640 53676 106800 197835 345840 576290 922376 1426425 2141440 3132760 | +| 111 | StirlingCycB:Rev | Poly | missing | 1 1 1 1 2 1 1 8 3 1 1 48 21 4 1 1 384 231 40 5 1 1 3840 3465 640 65 6 1 1 46080 65835 14080 1365 96 | +| 112 | StirlingCycB:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 113 | StirlingCycB:Rev | PolyRow2 | B000567 | 1 8 21 40 65 96 133 176 225 280 341 408 481 560 645 736 833 936 1045 1160 1281 1408 1541 1680 1825 | +| 114 | StirlingCycB:Rev | PolyRow3 | missing | 1 48 231 640 1365 2496 4123 6336 9225 12880 17391 22848 29341 36960 45795 55936 67473 80496 95095 | +| 115 | StirlingCycB:Rev | PolyCol2 | A008545 | 1 3 21 231 3465 65835 1514205 40883535 1267389585 44358635475 1729986783525 74389431691575 | +| 116 | StirlingCycB:Rev | PolyCol3 | A049308 | 1 4 40 640 14080 394240 13404160 536166400 24663654400 1282510028800 74385581670400 | +| 117 | StirlingCycB:Rev | PolyDiag | missing | 1 2 21 640 39585 4133376 653309965 145494835200 43403901242625 16705186398208000 | +| 118 | StirlingCycB:Inv | Triangle | A039755 | 1 -1 1 1 -4 1 -1 13 -9 1 1 -40 58 -16 1 -1 121 -330 170 -25 1 1 -364 1771 -1520 395 -36 1 -1 1093 | +| 119 | StirlingCycB:Inv | Rev | A039756 | 1 1 -1 1 -4 1 1 -9 13 -1 1 -16 58 -40 1 1 -25 170 -330 121 -1 1 -36 395 -1520 1771 -364 1 1 -49 791 | +| 120 | StirlingCycB:Inv | RevInv | A039758 | 1 1 1 1 4 3 1 9 23 15 1 16 86 176 105 1 25 230 950 1689 945 1 36 505 3480 12139 19524 10395 1 49 | +| 121 | StirlingCycB:Inv | InvRev | missing | 1 -1 1 -5 4 1 55 -43 -13 1 2473 -1936 -578 40 1 -280259 219411 65478 -4510 -121 1 -106308421 | +| 122 | StirlingCycB:Inv | Acc | missing | 1 -1 0 1 -3 -2 -1 12 3 4 1 -39 19 3 4 -1 120 -210 -40 -65 -64 1 -363 1408 -112 283 247 248 -1 1092 | +| 123 | StirlingCycB:Inv | AccRev | missing | 1 1 0 1 -3 -2 1 -8 5 4 1 -15 43 3 4 1 -24 146 -184 -63 -64 1 -35 360 -1160 611 247 248 1 -48 743 | +| 124 | StirlingCycB:Inv | AntiDiag | missing | 1 -1 1 1 -1 -4 1 13 1 -1 -40 -9 1 121 58 1 -1 -364 -330 -16 1 1093 1771 170 1 -1 -3280 -9219 -1520 | +| 125 | StirlingCycB:Inv | Diffx1 | missing | 1 -1 2 1 -8 3 -1 26 -27 4 1 -80 174 -64 5 -1 242 -990 680 -125 6 1 -728 5313 -6080 1975 -216 7 -1 | +| 126 | StirlingCycB:Inv | RowSum | A334190 | 1 0 -2 4 4 -64 248 -48 -6512 51200 -171296 -830400 17870400 -144684032 441316224 5976726784 | +| 127 | StirlingCycB:Inv | EvenSum | missing | 1 -1 2 -10 60 -356 2168 -14344 106704 -890512 8129440 -79192224 812374720 -8747469888 98997480832 | +| 128 | StirlingCycB:Inv | OddSum | missing | 0 1 -4 14 -56 292 -1920 14296 -113216 941712 -8300736 78361824 -794504320 8602785856 -98556164608 | +| 129 | StirlingCycB:Inv | AltSum | A007405 | 1 -2 6 -24 116 -648 4088 -28640 219920 -1832224 16430176 -157554048 1606879040 -17350255744 | +| 130 | StirlingCycB:Inv | DiagSum | missing | 1 -1 2 -5 15 -50 181 -711 3036 -14045 69837 -369952 2073253 -12235885 75836242 -492557937 | +| 131 | StirlingCycB:Inv | AccSum | missing | 1 -1 -4 18 -12 -260 1712 -3640 -33008 426352 -2299456 -1029600 159973184 -1804918336 9608106752 | +| 132 | StirlingCycB:Inv | AccRevSum | missing | 1 1 -4 2 36 -188 272 3208 -32112 136848 243904 -9765600 90212416 -365342144 -2547047168 65916404864 | +| 133 | StirlingCycB:Inv | RowLcm | missing | 1 1 4 117 2320 308550 24881416560 3415119838107075 10927777609869120 8184449743464324553963740 | +| 134 | StirlingCycB:Inv | RowGcd | B297382 | 1 1 4 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 135 | StirlingCycB:Inv | RowMax | missing | 1 1 4 13 58 330 1771 12411 96096 719860 6289690 61885450 595122671 5929706783 70856013228 | +| 136 | StirlingCycB:Inv | ColMiddle | missing | 1 -1 -4 13 58 -330 -1520 12411 58086 -618870 -2924712 38461522 182959876 -2863440580 -13685763520 | +| 137 | StirlingCycB:Inv | CentralE | missing | 1 -4 58 -1520 58086 -2924712 182959876 -13685763520 1191663940038 -118406147270840 | +| 138 | StirlingCycB:Inv | CentralO | B348087 | -1 13 -330 12411 -618870 38461522 -2863440580 248440887123 -24616763946918 2742625188929990 | +| 139 | StirlingCycB:Inv | BinConv | missing | 1 0 -6 12 126 -1120 -308 87080 -752314 -2251680 128688828 -1301351480 -5093196628 349093094272 | +| 140 | StirlingCycB:Inv | InvBinConv | missing | 1 2 10 68 574 5732 65292 830216 11606854 176361980 2886472156 50523676216 940246612268 | +| 141 | StirlingCycB:Inv | TransNat0 | missing | 0 1 -2 -2 32 -124 24 3256 -25600 85648 415200 -8935200 72342016 -220658112 -2988363392 59939678080 | +| 142 | StirlingCycB:Inv | TransNat1 | missing | 1 1 -4 2 36 -188 272 3208 -32112 136848 243904 -9765600 90212416 -365342144 -2547047168 65916404864 | +| 143 | StirlingCycB:Inv | TransSqrs | missing | 0 1 0 -14 64 -44 -1504 12776 -46080 -182000 4381952 -36586208 119264256 1421839680 -29749180928 | +| 144 | StirlingCycB:Inv | PosHalf | missing | 1 -1 -3 27 -103 -105 6101 -64141 350129 1270447 -63509459 965614155 -8377825207 -7124350649 | +| 145 | StirlingCycB:Inv | NegHalf | A355165 | 1 3 13 79 601 5339 53861 607527 7560625 102637235 1506225085 23726435583 398852249097 7120170905995 | +| 146 | StirlingCycB:Inv | DiagRow1 | A162395 | -1 -4 -9 -16 -25 -36 -49 -64 -81 -100 -121 -144 -169 -196 -225 -256 -289 -324 -361 -400 -441 -484 | +| 147 | StirlingCycB:Inv | DiagRow2 | B103220 | 1 13 58 170 395 791 1428 2388 3765 5665 8206 11518 15743 21035 27560 35496 45033 56373 69730 85330 | +| 148 | StirlingCycB:Inv | DiagRow3 | missing | -1 -40 -330 -1520 -5075 -13776 -32340 -68160 -132165 -239800 -412126 -677040 -1070615 -1638560 | +| 149 | StirlingCycB:Inv | DiagCol1 | B003462 | 1 -4 13 -40 121 -364 1093 -3280 9841 -29524 88573 -265720 797161 -2391484 7174453 -21523360 | +| 150 | StirlingCycB:Inv | DiagCol2 | A016209 | 1 -9 58 -330 1771 -9219 47188 -239220 1205941 -6059229 30384718 -152189310 761743711 -3811110039 | +| 151 | StirlingCycB:Inv | DiagCol3 | A021424 | 1 -16 170 -1520 12411 -96096 719860 -5278240 38153621 -273134576 1942326750 -13748476560 | +| 152 | StirlingCycB:Inv | Poly | missing | 1 -1 1 1 0 1 -1 -2 1 1 1 4 -3 2 1 -1 4 -3 -2 3 1 1 -64 41 -16 1 4 1 -1 248 -87 52 -29 6 5 1 1 -48 | +| 153 | StirlingCycB:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 154 | StirlingCycB:Inv | PolyRow2 | B123968 | 1 -2 -3 -2 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 673 | +| 155 | StirlingCycB:Inv | PolyRow3 | missing | -1 4 -3 -16 -29 -36 -31 -8 39 116 229 384 587 844 1161 1544 1999 2532 3149 3856 4659 5564 6577 7704 | +| 156 | StirlingCycB:Inv | PolyCol2 | A308645 | 1 1 -3 -3 41 -87 -571 5701 -14575 -156655 2094925 -9148851 -63364423 1474212665 -11494853995 | +| 157 | StirlingCycB:Inv | PolyCol3 | missing | 1 2 -2 -16 52 200 -2216 3008 85264 -742624 39904 57578240 -559969472 54927488 63964454272 | +| 158 | StirlingCycB:Inv | PolyDiag | missing | 1 0 -3 -16 1 1104 11893 -19104 -2797951 -41382784 209758861 22229683200 390747598657 -4304791023872 | +| 159 | StirlingCycB:Inv:Rev | Triangle | A039756 | 1 1 -1 1 -4 1 1 -9 13 -1 1 -16 58 -40 1 1 -25 170 -330 121 -1 1 -36 395 -1520 1771 -364 1 1 -49 791 | +| 160 | StirlingCycB:Inv:Rev | Rev | A039755 | 1 -1 1 1 -4 1 -1 13 -9 1 1 -40 58 -16 1 -1 121 -330 170 -25 1 1 -364 1771 -1520 395 -36 1 -1 1093 | +| 161 | StirlingCycB:Inv:Rev | Inv | missing | 1 -1 1 -5 4 1 55 -43 -13 1 2473 -1936 -578 40 1 -280259 219411 65478 -4510 -121 1 -106308421 | +| 162 | StirlingCycB:Inv:Rev | RevInv | missing | 1 1 -1 1 4 -5 1 -13 -43 55 1 40 -578 -1936 2473 1 -121 -4510 65478 219411 -280259 1 364 -45815 | +| 163 | StirlingCycB:Inv:Rev | InvRev | A028338 | 1 1 1 3 4 1 15 23 9 1 105 176 86 16 1 945 1689 950 230 25 1 10395 19524 12139 3480 505 36 1 135135 | +| 164 | StirlingCycB:Inv:Rev | Acc | missing | 1 1 0 1 -3 -2 1 -8 5 4 1 -15 43 3 4 1 -24 146 -184 -63 -64 1 -35 360 -1160 611 247 248 1 -48 743 | +| 165 | StirlingCycB:Inv:Rev | AccRev | missing | 1 -1 0 1 -3 -2 -1 12 3 4 1 -39 19 3 4 -1 120 -210 -40 -65 -64 1 -363 1408 -112 283 247 248 -1 1092 | +| 166 | StirlingCycB:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -4 1 -9 1 1 -16 13 1 -25 58 -1 1 -36 170 -40 1 -49 395 -330 1 1 -64 791 -1520 121 1 -81 | +| 167 | StirlingCycB:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -8 3 1 -18 39 -4 1 -32 174 -160 5 1 -50 510 -1320 605 -6 1 -72 1185 -6080 8855 -2184 7 1 | +| 168 | StirlingCycB:Inv:Rev | RowSum | A334190 | 1 0 -2 4 4 -64 248 -48 -6512 51200 -171296 -830400 17870400 -144684032 441316224 5976726784 | +| 169 | StirlingCycB:Inv:Rev | EvenSum | missing | 1 1 2 14 60 292 2168 14296 106704 941712 8129440 78361824 812374720 8602785856 98997480832 | +| 170 | StirlingCycB:Inv:Rev | OddSum | missing | 0 -1 -4 -10 -56 -356 -1920 -14344 -113216 -890512 -8300736 -79192224 -794504320 -8747469888 | +| 171 | StirlingCycB:Inv:Rev | AltSum | A007405 | 1 2 6 24 116 648 4088 28640 219920 1832224 16430176 157554048 1606879040 17350255744 197553645440 | +| 172 | StirlingCycB:Inv:Rev | DiagSum | missing | 1 1 0 -3 -7 -2 33 95 18 -671 -1957 560 20173 51981 -65768 -784167 -1562147 5090422 36158029 | +| 173 | StirlingCycB:Inv:Rev | AccSum | missing | 1 1 -4 2 36 -188 272 3208 -32112 136848 243904 -9765600 90212416 -365342144 -2547047168 65916404864 | +| 174 | StirlingCycB:Inv:Rev | AccRevSum | missing | 1 -1 -4 18 -12 -260 1712 -3640 -33008 426352 -2299456 -1029600 159973184 -1804918336 9608106752 | +| 175 | StirlingCycB:Inv:Rev | RowLcm | missing | 1 1 4 117 2320 308550 24881416560 3415119838107075 10927777609869120 8184449743464324553963740 | +| 176 | StirlingCycB:Inv:Rev | RowGcd | B297382 | 1 1 4 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 177 | StirlingCycB:Inv:Rev | RowMax | missing | 1 1 4 13 58 330 1771 12411 96096 719860 6289690 61885450 595122671 5929706783 70856013228 | +| 178 | StirlingCycB:Inv:Rev | ColMiddle | missing | 1 1 -4 -9 58 170 -1520 -5075 58086 209622 -2924712 -11115258 182959876 721488196 -13685763520 | +| 179 | StirlingCycB:Inv:Rev | CentralE | missing | 1 -4 58 -1520 58086 -2924712 182959876 -13685763520 1191663940038 -118406147270840 | +| 180 | StirlingCycB:Inv:Rev | CentralO | missing | 1 -9 170 -5075 209622 -11115258 721488196 -55483708995 4936283332838 -498999482959406 | +| 181 | StirlingCycB:Inv:Rev | BinConv | missing | 1 0 -6 12 126 -1120 -308 87080 -752314 -2251680 128688828 -1301351480 -5093196628 349093094272 | +| 182 | StirlingCycB:Inv:Rev | InvBinConv | missing | 1 -2 10 -68 574 -5732 65292 -830216 11606854 -176361980 2886472156 -50523676216 940246612268 | +| 183 | StirlingCycB:Inv:Rev | TransNat0 | missing | 0 -1 -2 14 -16 -196 1464 -3592 -26496 375152 -2128160 -199200 142102784 -1660234304 9166790528 | +| 184 | StirlingCycB:Inv:Rev | TransNat1 | missing | 1 -1 -4 18 -12 -260 1712 -3640 -33008 426352 -2299456 -1029600 159973184 -1804918336 9608106752 | +| 185 | StirlingCycB:Inv:Rev | TransSqrs | missing | 0 -1 0 34 -128 -404 7136 -35160 -53248 2423536 -21051648 59509792 956393472 -17292650816 | +| 186 | StirlingCycB:Inv:Rev | PosHalf | A308645 | 1 1 -3 -3 41 -87 -571 5701 -14575 -156655 2094925 -9148851 -63364423 1474212665 -11494853995 | +| 187 | StirlingCycB:Inv:Rev | NegHalf | A126390 | 1 -3 13 -71 457 -3355 27509 -248127 2434129 -25741939 291397789 -3510328695 44782460313 | +| 188 | StirlingCycB:Inv:Rev | DiagRow1 | B003462 | 1 -4 13 -40 121 -364 1093 -3280 9841 -29524 88573 -265720 797161 -2391484 7174453 -21523360 | +| 189 | StirlingCycB:Inv:Rev | DiagRow2 | A016209 | 1 -9 58 -330 1771 -9219 47188 -239220 1205941 -6059229 30384718 -152189310 761743711 -3811110039 | +| 190 | StirlingCycB:Inv:Rev | DiagRow3 | A021424 | 1 -16 170 -1520 12411 -96096 719860 -5278240 38153621 -273134576 1942326750 -13748476560 | +| 191 | StirlingCycB:Inv:Rev | DiagCol1 | A162395 | -1 -4 -9 -16 -25 -36 -49 -64 -81 -100 -121 -144 -169 -196 -225 -256 -289 -324 -361 -400 -441 -484 | +| 192 | StirlingCycB:Inv:Rev | DiagCol2 | B103220 | 1 13 58 170 395 791 1428 2388 3765 5665 8206 11518 15743 21035 27560 35496 45033 56373 69730 85330 | +| 193 | StirlingCycB:Inv:Rev | DiagCol3 | missing | -1 -40 -330 -1520 -5075 -13776 -32340 -68160 -132165 -239800 -412126 -677040 -1070615 -1638560 | +| 194 | StirlingCycB:Inv:Rev | Poly | missing | 1 1 1 1 0 1 1 -2 -1 1 1 4 -3 -2 1 1 4 27 -2 -3 1 1 -64 -103 64 1 -4 1 1 248 -105 -524 109 6 -5 1 1 | +| 195 | StirlingCycB:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 196 | StirlingCycB:Inv:Rev | PolyRow2 | B123968 | 1 -2 -3 -2 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 673 | +| 197 | StirlingCycB:Inv:Rev | PolyRow3 | missing | 1 4 27 64 109 156 199 232 249 244 211 144 37 -116 -321 -584 -911 -1308 -1781 -2336 -2979 -3716 | +| 198 | StirlingCycB:Inv:Rev | PolyCol2 | missing | 1 -1 -3 27 -103 -105 6101 -64141 350129 1270447 -63509459 965614155 -8377825207 -7124350649 | +| 199 | StirlingCycB:Inv:Rev | PolyCol3 | missing | 1 -2 -2 64 -524 2104 18136 -570368 8227600 -68107040 -288688160 26416365568 -660041056448 | +| 200 | StirlingCycB:Inv:Rev | PolyDiag | missing | 1 0 -3 64 -1439 35376 -802907 919584 2590253825 -373575072896 44301151435501 -4951308848044800 | \ No newline at end of file diff --git a/data/md/StirlingSet.md b/data/md/StirlingSet.md index 79c5d3d..4cf6647 100644 --- a/data/md/StirlingSet.md +++ b/data/md/StirlingSet.md @@ -40,117 +40,157 @@ | 37 | StirlingSet:Std | PolyCol2 | A001861 | 1 2 6 22 94 454 2430 14214 89918 610182 4412798 33827974 273646526 2326980998 20732504062 | | 38 | StirlingSet:Std | PolyCol3 | A027710 | 1 3 12 57 309 1866 12351 88563 681870 5597643 48718569 447428856 4318854429 43666895343 | | 39 | StirlingSet:Std | PolyDiag | A242817 | 1 1 6 57 756 12880 268098 6593839 187104200 6016681467 216229931110 8588688990640 373625770888956 | -| 40 | StirlingSet:Rev | Triangle | A106800 | 1 1 0 1 1 0 1 3 1 0 1 6 7 1 0 1 10 25 15 1 0 1 15 65 90 31 1 0 1 21 140 350 301 63 1 0 1 28 266 | -| 41 | StirlingSet:Rev | InvRev | A048994 | 1 0 1 0 -1 1 0 2 -3 1 0 -6 11 -6 1 0 24 -50 35 -10 1 0 -120 274 -225 85 -15 1 0 720 -1764 1624 -735 | -| 42 | StirlingSet:Rev | Acc | missing | 1 1 1 1 2 2 1 4 5 5 1 7 14 15 15 1 11 36 51 52 52 1 16 81 171 202 203 203 1 22 162 512 813 876 877 | -| 43 | StirlingSet:Rev | AccRev | A359107 | 1 0 1 0 1 2 0 1 4 5 0 1 8 14 15 0 1 16 41 51 52 0 1 32 122 187 202 203 0 1 64 365 715 855 876 877 0 | -| 44 | StirlingSet:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 3 0 1 6 1 1 10 7 0 1 15 25 1 1 21 65 15 0 1 28 140 90 1 1 36 266 350 31 0 1 45 462 | -| 45 | StirlingSet:Rev | Diffx1 | missing | 1 1 0 1 2 0 1 6 3 0 1 12 21 4 0 1 20 75 60 5 0 1 30 195 360 155 6 0 1 42 420 1400 1505 378 7 0 1 56 | -| 46 | StirlingSet:Rev | RowSum | A000110 | 1 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | -| 47 | StirlingSet:Rev | EvenSum | A096647 | 1 1 1 2 8 27 97 443 2095 10440 58194 340375 2097933 13847485 95504749 690495874 5245040408 | -| 48 | StirlingSet:Rev | OddSum | A096648 | 0 0 1 3 7 25 106 434 2045 10707 57781 338195 2115664 13796952 95394573 692462671 5235101739 | -| 49 | StirlingSet:Rev | AltSum | A000587 | 1 1 0 -1 1 2 -9 9 50 -267 413 2180 -17731 50533 110176 -1966797 9938669 -8638718 -278475061 | -| 50 | StirlingSet:Rev | DiagSum | A024428 | 1 1 1 2 4 8 18 42 102 260 684 1860 5216 15020 44388 134336 415672 1313696 4234904 13911528 46525992 | -| 51 | StirlingSet:Rev | AccSum | A203645 | 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | -| 52 | StirlingSet:Rev | AccRevSum | A359109 | 1 1 3 10 38 161 747 3753 20253 116642 713130 4607813 31345921 223767233 1671430607 13030153118 | -| 53 | StirlingSet:Rev | RowLcm | A063040 | 1 1 1 3 42 150 36270 270900 9440379900 3332912051700 2004302168707167000 1424191116445997823000 | -| 54 | StirlingSet:Rev | RowGcd | B089026 | 1 1 1 3 1 5 1 7 1 1 1 11 1 13 1 1 1 17 1 19 1 1 1 23 1 1 1 1 1 29 1 31 | -| 55 | StirlingSet:Rev | RowMax | A002870 | 1 1 1 3 7 25 90 350 1701 7770 42525 246730 1379400 9321312 63436373 420693273 3281882604 | -| 56 | StirlingSet:Rev | ColMiddle | A343278 | 1 1 1 3 7 25 90 350 1701 6951 42525 179487 1323652 5715424 49329280 216627840 2141764053 9528822303 | -| 57 | StirlingSet:Rev | CentralE | A007820 | 1 1 7 90 1701 42525 1323652 49329280 2141764053 106175395755 5917584964655 366282500870286 | -| 58 | StirlingSet:Rev | CentralO | A129506 | 1 3 25 350 6951 179487 5715424 216627840 9528822303 477297033785 26826851689001 1672162773483930 | -| 59 | StirlingSet:Rev | BinConv | A122455 | 1 1 3 13 71 456 3337 27203 243203 2357356 24554426 272908736 3218032897 40065665043 524575892037 | -| 60 | StirlingSet:Rev | InvBinConv | A343841 | 1 -1 -1 5 15 -56 -455 237 16947 64220 -529494 -6833608 -8606015 459331677 4335744673 -6800310151 | -| 61 | StirlingSet:Rev | TransNat0 | B278677 | 0 0 1 5 23 109 544 2876 16113 95495 597155 3929243 27132324 196122796 1480531285 11647194573 | -| 62 | StirlingSet:Rev | TransNat1 | A359109 | 1 1 3 10 38 161 747 3753 20253 116642 713130 4607813 31345921 223767233 1671430607 13030153118 | -| 63 | StirlingSet:Rev | TransSqrs | missing | 0 0 1 7 43 261 1606 10158 66529 452623 3202057 23553619 180028256 1428442744 11752833925 | -| 64 | StirlingSet:Rev | PosHalf | A001861 | 1 2 6 22 94 454 2430 14214 89918 610182 4412798 33827974 273646526 2326980998 20732504062 | -| 65 | StirlingSet:Rev | NegHalf | A213170 | 1 -2 2 2 -6 -14 26 178 90 -2382 -9446 13746 287194 998578 -3687782 -56264782 -208446118 1017677490 | -| 66 | StirlingSet:Rev | DiagRow2 | A060152 | 1 3 7 15 31 63 127 255 511 1023 2047 4095 8191 16383 32767 65535 131071 262143 524287 1048575 | -| 67 | StirlingSet:Rev | DiagRow3 | B000392 | 1 6 25 90 301 966 3025 9330 28501 86526 261625 788970 2375101 7141686 21457825 64439010 193448101 | -| 68 | StirlingSet:Rev | DiagCol1 | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | -| 69 | StirlingSet:Rev | DiagCol2 | A001296 | 0 1 7 25 65 140 266 462 750 1155 1705 2431 3367 4550 6020 7820 9996 12597 15675 19285 23485 28336 | -| 70 | StirlingSet:Rev | DiagCol3 | A001297 | 0 1 15 90 350 1050 2646 5880 11880 22275 39325 66066 106470 165620 249900 367200 527136 741285 | -| 71 | StirlingSet:Rev | Poly | A008550 | 1 1 1 1 1 1 1 2 1 1 1 5 3 1 1 1 15 11 4 1 1 1 52 49 19 5 1 1 1 203 257 109 29 6 1 1 1 877 1539 742 | -| 72 | StirlingSet:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 73 | StirlingSet:Rev | PolyRow3 | A028387 | 1 5 11 19 29 41 55 71 89 109 131 155 181 209 239 271 305 341 379 419 461 505 551 599 649 701 755 | -| 74 | StirlingSet:Rev | PolyCol2 | A004211 | 1 1 3 11 49 257 1539 10299 75905 609441 5284451 49134923 487026929 5120905441 56878092067 | -| 75 | StirlingSet:Rev | PolyCol3 | A004212 | 1 1 4 19 109 742 5815 51193 498118 5296321 60987817 754940848 9983845261 140329768789 2087182244308 | -| 76 | StirlingSet:Rev | PolyDiag | A301419 | 1 1 3 19 201 3176 69823 2026249 74565473 3376695763 183991725451 11854772145800 890415496931689 | -| 77 | StirlingSet:Inv | Triangle | A048994 | 1 0 1 0 -1 1 0 2 -3 1 0 -6 11 -6 1 0 24 -50 35 -10 1 0 -120 274 -225 85 -15 1 0 720 -1764 1624 -735 | -| 78 | StirlingSet:Inv | Rev | A054654 | 1 1 0 1 -1 0 1 -3 2 0 1 -6 11 -6 0 1 -10 35 -50 24 0 1 -15 85 -225 274 -120 0 1 -21 175 -735 1624 | -| 79 | StirlingSet:Inv | RevInv | A106800 | 1 1 0 1 1 0 1 3 1 0 1 6 7 1 0 1 10 25 15 1 0 1 15 65 90 31 1 0 1 21 140 350 301 63 1 0 1 28 266 | -| 80 | StirlingSet:Inv | Acc | missing | 1 0 1 0 -1 0 0 2 -1 0 0 -6 5 -1 0 0 24 -26 9 -1 0 0 -120 154 -71 14 -1 0 0 720 -1044 580 -155 20 -1 | -| 81 | StirlingSet:Inv | AccRev | missing | 1 1 1 1 0 0 1 -2 0 0 1 -5 6 0 0 1 -9 26 -24 0 0 1 -14 71 -154 120 0 0 1 -20 155 -580 1044 -720 0 0 | -| 82 | StirlingSet:Inv | AntiDiag | A331327 | 1 0 0 1 0 -1 0 2 1 0 -6 -3 0 24 11 1 0 -120 -50 -6 0 720 274 35 1 0 -5040 -1764 -225 -10 0 40320 | -| 83 | StirlingSet:Inv | Diffx1 | A360174 | 1 0 2 0 -2 3 0 4 -9 4 0 -12 33 -24 5 0 48 -150 140 -50 6 0 -240 822 -900 425 -90 7 0 1440 -5292 | -| 84 | StirlingSet:Inv | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 85 | StirlingSet:Inv | EvenSum | A105752 | 1 0 1 -3 12 -60 360 -2520 20160 -181440 1814400 -19958400 239500800 -3113510400 43589145600 | -| 86 | StirlingSet:Inv | OddSum | B001710 | 0 1 -1 3 -12 60 -360 2520 -20160 181440 -1814400 19958400 -239500800 3113510400 -43589145600 | -| 87 | StirlingSet:Inv | AltSum | A000142 | 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | -| 88 | StirlingSet:Inv | DiagSum | A343579 | 1 0 1 -1 3 -9 36 -176 1030 -7039 55098 -486346 4780445 -51787405 613045468 -7873065045 109021348618 | -| 89 | StirlingSet:Inv | AccSum | A159333 | 1 1 -1 1 -2 6 -24 120 -720 5040 -40320 362880 -3628800 39916800 -479001600 6227020800 -87178291200 | -| 90 | StirlingSet:Inv | AccRevSum | B133942 | 1 2 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | -| 91 | StirlingSet:Inv | RowLcm | B063039 | 1 1 1 6 66 4200 4192200 5115600 19083776176080 10086416728304192640 126556188275836361347200 | -| 92 | StirlingSet:Inv | RowMax | A065048 | 1 1 1 3 11 50 274 1764 13132 118124 1172700 12753576 150917976 1931559552 26596717056 392156797824 | -| 93 | StirlingSet:Inv | ColMiddle | A154415 | 1 0 -1 2 11 -50 -225 1624 6769 -67284 -269325 3416930 13339535 -206070150 -790943153 14409322928 | -| 94 | StirlingSet:Inv | CentralE | A187646 | 1 -1 11 -225 6769 -269325 13339535 -790943153 54631129553 -4308105301929 381922055502195 | -| 95 | StirlingSet:Inv | CentralO | missing | 0 2 -50 1624 -67284 3416930 -206070150 14409322928 -1146901283528 102417740732658 | -| 96 | StirlingSet:Inv | BinConv | A317274 | 1 1 -1 -2 19 -79 76 2640 -36945 329371 -1861949 -4438774 355714228 -7292531180 109844527612 | -| 97 | StirlingSet:Inv | InvBinConv | A211210 | 1 1 3 16 115 1021 10696 128472 1734447 25937683 424852351 7554471156 144767131444 2971727661124 | -| 98 | StirlingSet:Inv | TransNat0 | A358185 | 0 1 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | -| 99 | StirlingSet:Inv | TransNat1 | B133942 | 1 2 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | -| 100 | StirlingSet:Inv | TransSqrs | A045406 | 0 1 3 -1 0 4 -28 188 -1368 11016 -98208 964512 -10370880 121337280 -1535880960 20924455680 | -| 101 | StirlingSet:Inv | PosHalf | A330797 | 1 1 -1 3 -15 105 -945 10395 -135135 2027025 -34459425 654729075 -13749310575 316234143225 | -| 102 | StirlingSet:Inv | NegHalf | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | -| 103 | StirlingSet:Inv | DiagRow1 | A000217 | 0 -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 | -| 104 | StirlingSet:Inv | DiagRow2 | A000914 | 0 2 11 35 85 175 322 546 870 1320 1925 2717 3731 5005 6580 8500 10812 13566 16815 20615 25025 30107 | -| 105 | StirlingSet:Inv | DiagRow3 | A001303 | 0 -6 -50 -225 -735 -1960 -4536 -9450 -18150 -32670 -55770 -91091 -143325 -218400 -323680 -468180 | -| 106 | StirlingSet:Inv | DiagCol1 | A000142 | 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | -| 107 | StirlingSet:Inv | DiagCol2 | B081048 | 1 -3 11 -50 274 -1764 13068 -109584 1026576 -10628640 120543840 -1486442880 19802759040 | -| 108 | StirlingSet:Inv | DiagCol3 | A000399 | 1 -6 35 -225 1624 -13132 118124 -1172700 12753576 -150917976 1931559552 -26596717056 392156797824 | -| 109 | StirlingSet:Inv | Poly | A060701 | 1 0 1 0 1 1 0 0 2 1 0 0 2 3 1 0 0 0 6 4 1 0 0 0 6 12 5 1 0 0 0 0 24 20 6 1 0 0 0 0 24 60 30 7 1 0 0 | -| 110 | StirlingSet:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 111 | StirlingSet:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | -| 112 | StirlingSet:Inv | PolyRow3 | A007531 | 0 0 0 6 24 60 120 210 336 504 720 990 1320 1716 2184 2730 3360 4080 4896 5814 6840 7980 9240 10626 | -| 113 | StirlingSet:Inv | PolyCol2 | A180215 | 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 114 | StirlingSet:Inv | PolyCol3 | B186685 | 1 3 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 115 | StirlingSet:Inv | PolyDiag | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 116 | StirlingSet:Inv:Rev | Triangle | A054654 | 1 1 0 1 -1 0 1 -3 2 0 1 -6 11 -6 0 1 -10 35 -50 24 0 1 -15 85 -225 274 -120 0 1 -21 175 -735 1624 | -| 117 | StirlingSet:Inv:Rev | Rev | A048994 | 1 0 1 0 -1 1 0 2 -3 1 0 -6 11 -6 1 0 24 -50 35 -10 1 0 -120 274 -225 85 -15 1 0 720 -1764 1624 -735 | -| 118 | StirlingSet:Inv:Rev | InvRev | A048993 | 1 0 1 0 1 1 0 1 3 1 0 1 7 6 1 0 1 15 25 10 1 0 1 31 90 65 15 1 0 1 63 301 350 140 21 1 0 1 127 966 | -| 119 | StirlingSet:Inv:Rev | Acc | missing | 1 1 1 1 0 0 1 -2 0 0 1 -5 6 0 0 1 -9 26 -24 0 0 1 -14 71 -154 120 0 0 1 -20 155 -580 1044 -720 0 0 | -| 120 | StirlingSet:Inv:Rev | AccRev | missing | 1 0 1 0 -1 0 0 2 -1 0 0 -6 5 -1 0 0 24 -26 9 -1 0 0 -120 154 -71 14 -1 0 0 720 -1044 580 -155 20 -1 | -| 121 | StirlingSet:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -1 1 -3 0 1 -6 2 1 -10 11 0 1 -15 35 -6 1 -21 85 -50 0 1 -28 175 -225 24 1 -36 322 -735 | -| 122 | StirlingSet:Inv:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 -6 6 0 1 -12 33 -24 0 1 -20 105 -200 120 0 1 -30 255 -900 1370 -720 0 1 -42 525 | -| 123 | StirlingSet:Inv:Rev | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 124 | StirlingSet:Inv:Rev | EvenSum | A001710 | 1 1 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 3113510400 43589145600 653837184000 | -| 125 | StirlingSet:Inv:Rev | OddSum | B001710 | 0 0 -1 -3 -12 -60 -360 -2520 -20160 -181440 -1814400 -19958400 -239500800 -3113510400 -43589145600 | -| 126 | StirlingSet:Inv:Rev | AltSum | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 127 | StirlingSet:Inv:Rev | DiagSum | missing | 1 1 1 0 -2 -3 2 15 15 -53 -174 46 1285 1842 -7245 -28511 17321 310250 367570 -2744761 -9129932 | -| 128 | StirlingSet:Inv:Rev | AccSum | B133942 | 1 2 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | -| 129 | StirlingSet:Inv:Rev | AccRevSum | A159333 | 1 1 -1 1 -2 6 -24 120 -720 5040 -40320 362880 -3628800 39916800 -479001600 6227020800 -87178291200 | -| 130 | StirlingSet:Inv:Rev | RowLcm | B063039 | 1 1 1 6 66 4200 4192200 5115600 19083776176080 10086416728304192640 126556188275836361347200 | -| 131 | StirlingSet:Inv:Rev | RowMax | A065048 | 1 1 1 3 11 50 274 1764 13132 118124 1172700 12753576 150917976 1931559552 26596717056 392156797824 | -| 132 | StirlingSet:Inv:Rev | ColMiddle | missing | 1 1 -1 -3 11 35 -225 -735 6769 22449 -269325 -902055 13339535 44990231 -790943153 -2681453775 | -| 133 | StirlingSet:Inv:Rev | CentralE | A187646 | 1 -1 11 -225 6769 -269325 13339535 -790943153 54631129553 -4308105301929 381922055502195 | -| 134 | StirlingSet:Inv:Rev | CentralO | A129505 | 1 -3 35 -735 22449 -902055 44990231 -2681453775 185953177553 -14710753408923 1307535010540395 | -| 135 | StirlingSet:Inv:Rev | BinConv | A317274 | 1 1 -1 -2 19 -79 76 2640 -36945 329371 -1861949 -4438774 355714228 -7292531180 109844527612 | -| 136 | StirlingSet:Inv:Rev | InvBinConv | A211210 | 1 -1 3 -16 115 -1021 10696 -128472 1734447 -25937683 424852351 -7554471156 144767131444 | -| 137 | StirlingSet:Inv:Rev | TransNat0 | A104150 | 0 0 -1 1 -2 6 -24 120 -720 5040 -40320 362880 -3628800 39916800 -479001600 6227020800 -87178291200 | -| 138 | StirlingSet:Inv:Rev | TransNat1 | A159333 | 1 1 -1 1 -2 6 -24 120 -720 5040 -40320 362880 -3628800 39916800 -479001600 6227020800 -87178291200 | -| 139 | StirlingSet:Inv:Rev | TransSqrs | missing | 0 0 -1 5 -16 64 -316 1868 -12888 101736 -904608 8947872 -97462080 1159174080 -14947925760 | -| 140 | StirlingSet:Inv:Rev | PosHalf | A180215 | 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 141 | StirlingSet:Inv:Rev | NegHalf | B155456 | 1 -2 6 -24 120 -720 5040 -40320 362880 -3628800 39916800 -479001600 6227020800 -87178291200 | -| 142 | StirlingSet:Inv:Rev | DiagRow1 | A000142 | 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | -| 143 | StirlingSet:Inv:Rev | DiagRow2 | B081048 | 1 -3 11 -50 274 -1764 13068 -109584 1026576 -10628640 120543840 -1486442880 19802759040 | -| 144 | StirlingSet:Inv:Rev | DiagRow3 | A000399 | 1 -6 35 -225 1624 -13132 118124 -1172700 12753576 -150917976 1931559552 -26596717056 392156797824 | -| 145 | StirlingSet:Inv:Rev | DiagCol1 | A000217 | 0 -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 | -| 146 | StirlingSet:Inv:Rev | DiagCol2 | A000914 | 0 2 11 35 85 175 322 546 870 1320 1925 2717 3731 5005 6580 8500 10812 13566 16815 20615 25025 30107 | -| 147 | StirlingSet:Inv:Rev | DiagCol3 | A001303 | 0 -6 -50 -225 -735 -1960 -4536 -9450 -18150 -32670 -55770 -91091 -143325 -218400 -323680 -468180 | -| 148 | StirlingSet:Inv:Rev | Poly | A071024 | 1 1 1 1 1 1 1 0 1 1 1 0 -1 1 1 1 0 3 -2 1 1 1 0 -15 10 -3 1 1 1 0 105 -80 21 -4 1 1 1 0 -945 880 | -| 149 | StirlingSet:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 150 | StirlingSet:Inv:Rev | PolyRow3 | A014105 | 1 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | -| 151 | StirlingSet:Inv:Rev | PolyCol2 | A330797 | 1 1 -1 3 -15 105 -945 10395 -135135 2027025 -34459425 654729075 -13749310575 316234143225 | -| 152 | StirlingSet:Inv:Rev | PolyCol3 | A008544 | 1 1 -2 10 -80 880 -12320 209440 -4188800 96342400 -2504902400 72642169600 -2324549427200 | -| 153 | StirlingSet:Inv:Rev | PolyDiag | A349731 | 1 1 -1 10 -231 9576 -623645 58715280 -7547514975 1270453824640 -271252029133449 71635824470246400 | \ No newline at end of file +| 40 | StirlingSet:Alt | Triangle | A048993 | 1 0 -1 0 -1 1 0 -1 3 -1 0 -1 7 -6 1 0 -1 15 -25 10 -1 0 -1 31 -90 65 -15 1 0 -1 63 -301 350 -140 21 | +| 41 | StirlingSet:Alt | Rev | A106800 | 1 -1 0 1 -1 0 -1 3 -1 0 1 -6 7 -1 0 -1 10 -25 15 -1 0 1 -15 65 -90 31 -1 0 -1 21 -140 350 -301 63 | +| 42 | StirlingSet:Alt | Inv | missing | 1 0 1 0 1 1 0 -2 -3 1 0 -18 -25 6 1 0 116 160 -35 -10 1 0 2700 3724 -825 -215 15 1 0 -34824 -48020 | +| 43 | StirlingSet:Alt | RevInv | missing | 1 1 0 1 1 0 1 -3 -2 0 1 6 -25 -18 0 1 -10 -35 160 116 0 1 15 -215 -825 3724 2700 0 1 -21 -175 2765 | +| 44 | StirlingSet:Alt | Acc | missing | 1 0 -1 0 -1 0 0 -1 2 1 0 -1 6 0 1 0 -1 14 -11 -1 -2 0 -1 30 -60 5 -10 -9 0 -1 62 -239 111 -29 -8 -9 | +| 45 | StirlingSet:Alt | AccRev | missing | 1 -1 -1 1 0 0 -1 2 1 1 1 -5 2 1 1 -1 9 -16 -1 -2 -2 1 -14 51 -39 -8 -9 -9 -1 20 -120 230 -71 -8 -9 | +| 46 | StirlingSet:Alt | AntiDiag | missing | 1 0 0 -1 0 -1 0 -1 1 0 -1 3 0 -1 7 -1 0 -1 15 -6 0 -1 31 -25 1 0 -1 63 -90 10 0 -1 127 -301 65 -1 0 | +| 47 | StirlingSet:Alt | Diffx1 | missing | 1 0 -2 0 -2 3 0 -2 9 -4 0 -2 21 -24 5 0 -2 45 -100 50 -6 0 -2 93 -360 325 -90 7 0 -2 189 -1204 1750 | +| 48 | StirlingSet:Alt | RowSum | A000587 | 1 -1 0 1 1 -2 -9 -9 50 267 413 -2180 -17731 -50533 110176 1966797 9938669 8638718 -278475061 | +| 49 | StirlingSet:Alt | EvenSum | A024430 | 1 0 1 3 8 25 97 434 2095 10707 58194 338195 2097933 13796952 95504749 692462671 5245040408 | +| 50 | StirlingSet:Alt | OddSum | A024429 | 0 -1 -1 -2 -7 -27 -106 -443 -2045 -10440 -57781 -340375 -2115664 -13847485 -95394573 -690495874 | +| 51 | StirlingSet:Alt | AltSum | A000110 | 1 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | +| 52 | StirlingSet:Alt | DiagSum | A353260 | 1 0 -1 -1 0 2 5 8 6 -18 -111 -377 -953 -1567 964 23411 133702 554185 1801323 3910514 -2415952 | +| 53 | StirlingSet:Alt | AccSum | missing | 1 -1 -1 2 6 -1 -45 -113 133 1990 6310 -6249 -162239 -767105 -424333 19563286 150379986 425333267 | +| 54 | StirlingSet:Alt | AccRevSum | missing | 1 -2 1 3 0 -13 -27 32 367 947 -1354 -22091 -85995 9110 2187149 13872263 28516056 -261197625 | +| 55 | StirlingSet:Alt | RowLcm | A063040 | 1 1 1 3 42 150 36270 270900 9440379900 3332912051700 2004302168707167000 1424191116445997823000 | +| 56 | StirlingSet:Alt | RowGcd | B089026 | 1 1 1 3 1 5 1 7 1 1 1 11 1 13 1 1 1 17 1 19 1 1 1 23 1 1 1 1 1 29 1 31 | +| 57 | StirlingSet:Alt | RowMax | A002870 | 1 1 1 3 7 25 90 350 1701 7770 42525 246730 1379400 9321312 63436373 420693273 3281882604 | +| 58 | StirlingSet:Alt | ColMiddle | A343279 | 1 0 -1 -1 7 15 -90 -301 1701 7770 -42525 -246730 1323652 9321312 -49329280 -408741333 2141764053 | +| 59 | StirlingSet:Alt | CentralE | A007820 | 1 -1 7 -90 1701 -42525 1323652 -49329280 2141764053 -106175395755 5917584964655 -366282500870286 | +| 60 | StirlingSet:Alt | CentralO | A247238 | 0 -1 15 -301 7770 -246730 9321312 -408741333 20415995028 -1144614626805 71187132291275 | +| 61 | StirlingSet:Alt | BinConv | A343841 | 1 -1 -1 5 15 -56 -455 237 16947 64220 -529494 -6833608 -8606015 459331677 4335744673 -6800310151 | +| 62 | StirlingSet:Alt | InvBinConv | A122455 | 1 -1 3 -13 71 -456 3337 -27203 243203 -2357356 24554426 -272908736 3218032897 -40065665043 | +| 63 | StirlingSet:Alt | TransNat0 | A101851 | 0 -1 1 2 -1 -11 -18 41 317 680 -1767 -19911 -68264 59643 2076973 11905466 18577387 -269836343 | +| 64 | StirlingSet:Alt | TransNat1 | missing | 1 -2 1 3 0 -13 -27 32 367 947 -1354 -22091 -85995 9110 2187149 13872263 28516056 -261197625 | +| 65 | StirlingSet:Alt | TransSqrs | missing | 0 -1 3 2 -11 -31 14 349 1047 -820 -21265 -90355 -26352 2086083 14092615 32449650 -241320287 | +| 66 | StirlingSet:Alt | PosHalf | A009235 | 1 -1 -1 1 9 23 -25 -583 -3087 -4401 79087 902097 4783801 -2361049 -348382697 -4102879415 | +| 67 | StirlingSet:Alt | NegHalf | A004211 | 1 -1 3 -11 49 -257 1539 -10299 75905 -609441 5284451 -49134923 487026929 -5120905441 56878092067 | +| 68 | StirlingSet:Alt | DiagRow1 | A000217 | 0 -1 3 -6 10 -15 21 -28 36 -45 55 -66 78 -91 105 -120 136 -153 171 -190 210 -231 253 -276 300 -325 | +| 69 | StirlingSet:Alt | DiagRow2 | A001296 | 0 -1 7 -25 65 -140 266 -462 750 -1155 1705 -2431 3367 -4550 6020 -7820 9996 -12597 15675 -19285 | +| 70 | StirlingSet:Alt | DiagRow3 | A001297 | 0 -1 15 -90 350 -1050 2646 -5880 11880 -22275 39325 -66066 106470 -165620 249900 -367200 527136 | +| 71 | StirlingSet:Alt | DiagCol2 | A060152 | 1 3 7 15 31 63 127 255 511 1023 2047 4095 8191 16383 32767 65535 131071 262143 524287 1048575 | +| 72 | StirlingSet:Alt | DiagCol3 | B000392 | -1 -6 -25 -90 -301 -966 -3025 -9330 -28501 -86526 -261625 -788970 -2375101 -7141686 -21457825 | +| 73 | StirlingSet:Alt | Poly | missing | 1 0 1 0 -1 1 0 0 -2 1 0 1 2 -3 1 0 1 2 6 -4 1 0 -2 -6 -3 12 -5 1 0 -9 -14 -21 -20 20 -6 1 0 -9 26 | +| 74 | StirlingSet:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | StirlingSet:Alt | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 76 | StirlingSet:Alt | PolyRow3 | B318765 | 0 1 2 -3 -20 -55 -114 -203 -328 -495 -710 -979 -1308 -1703 -2170 -2715 -3344 -4063 -4878 -5795 | +| 77 | StirlingSet:Alt | PolyCol2 | A213170 | 1 -2 2 2 -6 -14 26 178 90 -2382 -9446 13746 287194 998578 -3687782 -56264782 -208446118 1017677490 | +| 78 | StirlingSet:Alt | PolyCol3 | A309084 | 1 -3 6 -3 -21 24 195 -111 -3072 -4053 57003 277854 -697539 -12261567 -29861778 371727465 3511027599 | +| 79 | StirlingSet:Alt | PolyDiag | A292866 | 1 -1 2 -3 -20 370 -4074 34293 -138312 -2932533 106271090 -2192834490 32208497124 -206343936097 | +| 80 | StirlingSet:Rev | Triangle | A106800 | 1 1 0 1 1 0 1 3 1 0 1 6 7 1 0 1 10 25 15 1 0 1 15 65 90 31 1 0 1 21 140 350 301 63 1 0 1 28 266 | +| 81 | StirlingSet:Rev | InvRev | A048994 | 1 0 1 0 -1 1 0 2 -3 1 0 -6 11 -6 1 0 24 -50 35 -10 1 0 -120 274 -225 85 -15 1 0 720 -1764 1624 -735 | +| 82 | StirlingSet:Rev | Acc | missing | 1 1 1 1 2 2 1 4 5 5 1 7 14 15 15 1 11 36 51 52 52 1 16 81 171 202 203 203 1 22 162 512 813 876 877 | +| 83 | StirlingSet:Rev | AccRev | A359107 | 1 0 1 0 1 2 0 1 4 5 0 1 8 14 15 0 1 16 41 51 52 0 1 32 122 187 202 203 0 1 64 365 715 855 876 877 0 | +| 84 | StirlingSet:Rev | AntiDiag | missing | 1 1 1 0 1 1 1 3 0 1 6 1 1 10 7 0 1 15 25 1 1 21 65 15 0 1 28 140 90 1 1 36 266 350 31 0 1 45 462 | +| 85 | StirlingSet:Rev | Diffx1 | missing | 1 1 0 1 2 0 1 6 3 0 1 12 21 4 0 1 20 75 60 5 0 1 30 195 360 155 6 0 1 42 420 1400 1505 378 7 0 1 56 | +| 86 | StirlingSet:Rev | RowSum | A000110 | 1 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | +| 87 | StirlingSet:Rev | EvenSum | A096647 | 1 1 1 2 8 27 97 443 2095 10440 58194 340375 2097933 13847485 95504749 690495874 5245040408 | +| 88 | StirlingSet:Rev | OddSum | A096648 | 0 0 1 3 7 25 106 434 2045 10707 57781 338195 2115664 13796952 95394573 692462671 5235101739 | +| 89 | StirlingSet:Rev | AltSum | A000587 | 1 1 0 -1 1 2 -9 9 50 -267 413 2180 -17731 50533 110176 -1966797 9938669 -8638718 -278475061 | +| 90 | StirlingSet:Rev | DiagSum | A024428 | 1 1 1 2 4 8 18 42 102 260 684 1860 5216 15020 44388 134336 415672 1313696 4234904 13911528 46525992 | +| 91 | StirlingSet:Rev | AccSum | A203645 | 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 190899322 1382958545 10480142147 | +| 92 | StirlingSet:Rev | AccRevSum | A359109 | 1 1 3 10 38 161 747 3753 20253 116642 713130 4607813 31345921 223767233 1671430607 13030153118 | +| 93 | StirlingSet:Rev | RowLcm | A063040 | 1 1 1 3 42 150 36270 270900 9440379900 3332912051700 2004302168707167000 1424191116445997823000 | +| 94 | StirlingSet:Rev | RowGcd | B089026 | 1 1 1 3 1 5 1 7 1 1 1 11 1 13 1 1 1 17 1 19 1 1 1 23 1 1 1 1 1 29 1 31 | +| 95 | StirlingSet:Rev | RowMax | A002870 | 1 1 1 3 7 25 90 350 1701 7770 42525 246730 1379400 9321312 63436373 420693273 3281882604 | +| 96 | StirlingSet:Rev | ColMiddle | A343278 | 1 1 1 3 7 25 90 350 1701 6951 42525 179487 1323652 5715424 49329280 216627840 2141764053 9528822303 | +| 97 | StirlingSet:Rev | CentralE | A007820 | 1 1 7 90 1701 42525 1323652 49329280 2141764053 106175395755 5917584964655 366282500870286 | +| 98 | StirlingSet:Rev | CentralO | A129506 | 1 3 25 350 6951 179487 5715424 216627840 9528822303 477297033785 26826851689001 1672162773483930 | +| 99 | StirlingSet:Rev | BinConv | A122455 | 1 1 3 13 71 456 3337 27203 243203 2357356 24554426 272908736 3218032897 40065665043 524575892037 | +| 100 | StirlingSet:Rev | InvBinConv | A343841 | 1 -1 -1 5 15 -56 -455 237 16947 64220 -529494 -6833608 -8606015 459331677 4335744673 -6800310151 | +| 101 | StirlingSet:Rev | TransNat0 | B278677 | 0 0 1 5 23 109 544 2876 16113 95495 597155 3929243 27132324 196122796 1480531285 11647194573 | +| 102 | StirlingSet:Rev | TransNat1 | A359109 | 1 1 3 10 38 161 747 3753 20253 116642 713130 4607813 31345921 223767233 1671430607 13030153118 | +| 103 | StirlingSet:Rev | TransSqrs | missing | 0 0 1 7 43 261 1606 10158 66529 452623 3202057 23553619 180028256 1428442744 11752833925 | +| 104 | StirlingSet:Rev | PosHalf | A001861 | 1 2 6 22 94 454 2430 14214 89918 610182 4412798 33827974 273646526 2326980998 20732504062 | +| 105 | StirlingSet:Rev | NegHalf | A213170 | 1 -2 2 2 -6 -14 26 178 90 -2382 -9446 13746 287194 998578 -3687782 -56264782 -208446118 1017677490 | +| 106 | StirlingSet:Rev | DiagRow2 | A060152 | 1 3 7 15 31 63 127 255 511 1023 2047 4095 8191 16383 32767 65535 131071 262143 524287 1048575 | +| 107 | StirlingSet:Rev | DiagRow3 | B000392 | 1 6 25 90 301 966 3025 9330 28501 86526 261625 788970 2375101 7141686 21457825 64439010 193448101 | +| 108 | StirlingSet:Rev | DiagCol1 | A000217 | 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276 300 325 351 378 406 | +| 109 | StirlingSet:Rev | DiagCol2 | A001296 | 0 1 7 25 65 140 266 462 750 1155 1705 2431 3367 4550 6020 7820 9996 12597 15675 19285 23485 28336 | +| 110 | StirlingSet:Rev | DiagCol3 | A001297 | 0 1 15 90 350 1050 2646 5880 11880 22275 39325 66066 106470 165620 249900 367200 527136 741285 | +| 111 | StirlingSet:Rev | Poly | A008550 | 1 1 1 1 1 1 1 2 1 1 1 5 3 1 1 1 15 11 4 1 1 1 52 49 19 5 1 1 1 203 257 109 29 6 1 1 1 877 1539 742 | +| 112 | StirlingSet:Rev | PolyRow2 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 113 | StirlingSet:Rev | PolyRow3 | A028387 | 1 5 11 19 29 41 55 71 89 109 131 155 181 209 239 271 305 341 379 419 461 505 551 599 649 701 755 | +| 114 | StirlingSet:Rev | PolyCol2 | A004211 | 1 1 3 11 49 257 1539 10299 75905 609441 5284451 49134923 487026929 5120905441 56878092067 | +| 115 | StirlingSet:Rev | PolyCol3 | A004212 | 1 1 4 19 109 742 5815 51193 498118 5296321 60987817 754940848 9983845261 140329768789 2087182244308 | +| 116 | StirlingSet:Rev | PolyDiag | A301419 | 1 1 3 19 201 3176 69823 2026249 74565473 3376695763 183991725451 11854772145800 890415496931689 | +| 117 | StirlingSet:Inv | Triangle | A048994 | 1 0 1 0 -1 1 0 2 -3 1 0 -6 11 -6 1 0 24 -50 35 -10 1 0 -120 274 -225 85 -15 1 0 720 -1764 1624 -735 | +| 118 | StirlingSet:Inv | Rev | A054654 | 1 1 0 1 -1 0 1 -3 2 0 1 -6 11 -6 0 1 -10 35 -50 24 0 1 -15 85 -225 274 -120 0 1 -21 175 -735 1624 | +| 119 | StirlingSet:Inv | RevInv | A106800 | 1 1 0 1 1 0 1 3 1 0 1 6 7 1 0 1 10 25 15 1 0 1 15 65 90 31 1 0 1 21 140 350 301 63 1 0 1 28 266 | +| 120 | StirlingSet:Inv | Acc | missing | 1 0 1 0 -1 0 0 2 -1 0 0 -6 5 -1 0 0 24 -26 9 -1 0 0 -120 154 -71 14 -1 0 0 720 -1044 580 -155 20 -1 | +| 121 | StirlingSet:Inv | AccRev | missing | 1 1 1 1 0 0 1 -2 0 0 1 -5 6 0 0 1 -9 26 -24 0 0 1 -14 71 -154 120 0 0 1 -20 155 -580 1044 -720 0 0 | +| 122 | StirlingSet:Inv | AntiDiag | A331327 | 1 0 0 1 0 -1 0 2 1 0 -6 -3 0 24 11 1 0 -120 -50 -6 0 720 274 35 1 0 -5040 -1764 -225 -10 0 40320 | +| 123 | StirlingSet:Inv | Diffx1 | A360174 | 1 0 2 0 -2 3 0 4 -9 4 0 -12 33 -24 5 0 48 -150 140 -50 6 0 -240 822 -900 425 -90 7 0 1440 -5292 | +| 124 | StirlingSet:Inv | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 125 | StirlingSet:Inv | EvenSum | A105752 | 1 0 1 -3 12 -60 360 -2520 20160 -181440 1814400 -19958400 239500800 -3113510400 43589145600 | +| 126 | StirlingSet:Inv | OddSum | B001710 | 0 1 -1 3 -12 60 -360 2520 -20160 181440 -1814400 19958400 -239500800 3113510400 -43589145600 | +| 127 | StirlingSet:Inv | AltSum | A000142 | 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | +| 128 | StirlingSet:Inv | DiagSum | A343579 | 1 0 1 -1 3 -9 36 -176 1030 -7039 55098 -486346 4780445 -51787405 613045468 -7873065045 109021348618 | +| 129 | StirlingSet:Inv | AccSum | A159333 | 1 1 -1 1 -2 6 -24 120 -720 5040 -40320 362880 -3628800 39916800 -479001600 6227020800 -87178291200 | +| 130 | StirlingSet:Inv | AccRevSum | B133942 | 1 2 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | +| 131 | StirlingSet:Inv | RowLcm | B063039 | 1 1 1 6 66 4200 4192200 5115600 19083776176080 10086416728304192640 126556188275836361347200 | +| 132 | StirlingSet:Inv | RowMax | A065048 | 1 1 1 3 11 50 274 1764 13132 118124 1172700 12753576 150917976 1931559552 26596717056 392156797824 | +| 133 | StirlingSet:Inv | ColMiddle | A154415 | 1 0 -1 2 11 -50 -225 1624 6769 -67284 -269325 3416930 13339535 -206070150 -790943153 14409322928 | +| 134 | StirlingSet:Inv | CentralE | A187646 | 1 -1 11 -225 6769 -269325 13339535 -790943153 54631129553 -4308105301929 381922055502195 | +| 135 | StirlingSet:Inv | CentralO | missing | 0 2 -50 1624 -67284 3416930 -206070150 14409322928 -1146901283528 102417740732658 | +| 136 | StirlingSet:Inv | BinConv | A317274 | 1 1 -1 -2 19 -79 76 2640 -36945 329371 -1861949 -4438774 355714228 -7292531180 109844527612 | +| 137 | StirlingSet:Inv | InvBinConv | A211210 | 1 1 3 16 115 1021 10696 128472 1734447 25937683 424852351 7554471156 144767131444 2971727661124 | +| 138 | StirlingSet:Inv | TransNat0 | A358185 | 0 1 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | +| 139 | StirlingSet:Inv | TransNat1 | B133942 | 1 2 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | +| 140 | StirlingSet:Inv | TransSqrs | A045406 | 0 1 3 -1 0 4 -28 188 -1368 11016 -98208 964512 -10370880 121337280 -1535880960 20924455680 | +| 141 | StirlingSet:Inv | PosHalf | A330797 | 1 1 -1 3 -15 105 -945 10395 -135135 2027025 -34459425 654729075 -13749310575 316234143225 | +| 142 | StirlingSet:Inv | NegHalf | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | +| 143 | StirlingSet:Inv | DiagRow1 | A000217 | 0 -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 | +| 144 | StirlingSet:Inv | DiagRow2 | A000914 | 0 2 11 35 85 175 322 546 870 1320 1925 2717 3731 5005 6580 8500 10812 13566 16815 20615 25025 30107 | +| 145 | StirlingSet:Inv | DiagRow3 | A001303 | 0 -6 -50 -225 -735 -1960 -4536 -9450 -18150 -32670 -55770 -91091 -143325 -218400 -323680 -468180 | +| 146 | StirlingSet:Inv | DiagCol1 | A000142 | 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | +| 147 | StirlingSet:Inv | DiagCol2 | B081048 | 1 -3 11 -50 274 -1764 13068 -109584 1026576 -10628640 120543840 -1486442880 19802759040 | +| 148 | StirlingSet:Inv | DiagCol3 | A000399 | 1 -6 35 -225 1624 -13132 118124 -1172700 12753576 -150917976 1931559552 -26596717056 392156797824 | +| 149 | StirlingSet:Inv | Poly | A060701 | 1 0 1 0 1 1 0 0 2 1 0 0 2 3 1 0 0 0 6 4 1 0 0 0 6 12 5 1 0 0 0 0 24 20 6 1 0 0 0 0 24 60 30 7 1 0 0 | +| 150 | StirlingSet:Inv | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 151 | StirlingSet:Inv | PolyRow2 | A279019 | 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 152 | StirlingSet:Inv | PolyRow3 | A007531 | 0 0 0 6 24 60 120 210 336 504 720 990 1320 1716 2184 2730 3360 4080 4896 5814 6840 7980 9240 10626 | +| 153 | StirlingSet:Inv | PolyCol2 | A180215 | 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 154 | StirlingSet:Inv | PolyCol3 | B186685 | 1 3 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 155 | StirlingSet:Inv | PolyDiag | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 156 | StirlingSet:Inv:Rev | Triangle | A054654 | 1 1 0 1 -1 0 1 -3 2 0 1 -6 11 -6 0 1 -10 35 -50 24 0 1 -15 85 -225 274 -120 0 1 -21 175 -735 1624 | +| 157 | StirlingSet:Inv:Rev | Rev | A048994 | 1 0 1 0 -1 1 0 2 -3 1 0 -6 11 -6 1 0 24 -50 35 -10 1 0 -120 274 -225 85 -15 1 0 720 -1764 1624 -735 | +| 158 | StirlingSet:Inv:Rev | InvRev | A048993 | 1 0 1 0 1 1 0 1 3 1 0 1 7 6 1 0 1 15 25 10 1 0 1 31 90 65 15 1 0 1 63 301 350 140 21 1 0 1 127 966 | +| 159 | StirlingSet:Inv:Rev | Acc | missing | 1 1 1 1 0 0 1 -2 0 0 1 -5 6 0 0 1 -9 26 -24 0 0 1 -14 71 -154 120 0 0 1 -20 155 -580 1044 -720 0 0 | +| 160 | StirlingSet:Inv:Rev | AccRev | missing | 1 0 1 0 -1 0 0 2 -1 0 0 -6 5 -1 0 0 24 -26 9 -1 0 0 -120 154 -71 14 -1 0 0 720 -1044 580 -155 20 -1 | +| 161 | StirlingSet:Inv:Rev | AntiDiag | missing | 1 1 1 0 1 -1 1 -3 0 1 -6 2 1 -10 11 0 1 -15 35 -6 1 -21 85 -50 0 1 -28 175 -225 24 1 -36 322 -735 | +| 162 | StirlingSet:Inv:Rev | Diffx1 | missing | 1 1 0 1 -2 0 1 -6 6 0 1 -12 33 -24 0 1 -20 105 -200 120 0 1 -30 255 -900 1370 -720 0 1 -42 525 | +| 163 | StirlingSet:Inv:Rev | RowSum | A014026 | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 164 | StirlingSet:Inv:Rev | EvenSum | A001710 | 1 1 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 3113510400 43589145600 653837184000 | +| 165 | StirlingSet:Inv:Rev | OddSum | B001710 | 0 0 -1 -3 -12 -60 -360 -2520 -20160 -181440 -1814400 -19958400 -239500800 -3113510400 -43589145600 | +| 166 | StirlingSet:Inv:Rev | AltSum | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 167 | StirlingSet:Inv:Rev | DiagSum | missing | 1 1 1 0 -2 -3 2 15 15 -53 -174 46 1285 1842 -7245 -28511 17321 310250 367570 -2744761 -9129932 | +| 168 | StirlingSet:Inv:Rev | AccSum | B133942 | 1 2 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | +| 169 | StirlingSet:Inv:Rev | AccRevSum | A159333 | 1 1 -1 1 -2 6 -24 120 -720 5040 -40320 362880 -3628800 39916800 -479001600 6227020800 -87178291200 | +| 170 | StirlingSet:Inv:Rev | RowLcm | B063039 | 1 1 1 6 66 4200 4192200 5115600 19083776176080 10086416728304192640 126556188275836361347200 | +| 171 | StirlingSet:Inv:Rev | RowMax | A065048 | 1 1 1 3 11 50 274 1764 13132 118124 1172700 12753576 150917976 1931559552 26596717056 392156797824 | +| 172 | StirlingSet:Inv:Rev | ColMiddle | missing | 1 1 -1 -3 11 35 -225 -735 6769 22449 -269325 -902055 13339535 44990231 -790943153 -2681453775 | +| 173 | StirlingSet:Inv:Rev | CentralE | A187646 | 1 -1 11 -225 6769 -269325 13339535 -790943153 54631129553 -4308105301929 381922055502195 | +| 174 | StirlingSet:Inv:Rev | CentralO | A129505 | 1 -3 35 -735 22449 -902055 44990231 -2681453775 185953177553 -14710753408923 1307535010540395 | +| 175 | StirlingSet:Inv:Rev | BinConv | A317274 | 1 1 -1 -2 19 -79 76 2640 -36945 329371 -1861949 -4438774 355714228 -7292531180 109844527612 | +| 176 | StirlingSet:Inv:Rev | InvBinConv | A211210 | 1 -1 3 -16 115 -1021 10696 -128472 1734447 -25937683 424852351 -7554471156 144767131444 | +| 177 | StirlingSet:Inv:Rev | TransNat0 | A104150 | 0 0 -1 1 -2 6 -24 120 -720 5040 -40320 362880 -3628800 39916800 -479001600 6227020800 -87178291200 | +| 178 | StirlingSet:Inv:Rev | TransNat1 | A159333 | 1 1 -1 1 -2 6 -24 120 -720 5040 -40320 362880 -3628800 39916800 -479001600 6227020800 -87178291200 | +| 179 | StirlingSet:Inv:Rev | TransSqrs | missing | 0 0 -1 5 -16 64 -316 1868 -12888 101736 -904608 8947872 -97462080 1159174080 -14947925760 | +| 180 | StirlingSet:Inv:Rev | PosHalf | A180215 | 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 181 | StirlingSet:Inv:Rev | NegHalf | B155456 | 1 -2 6 -24 120 -720 5040 -40320 362880 -3628800 39916800 -479001600 6227020800 -87178291200 | +| 182 | StirlingSet:Inv:Rev | DiagRow1 | A000142 | 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | +| 183 | StirlingSet:Inv:Rev | DiagRow2 | B081048 | 1 -3 11 -50 274 -1764 13068 -109584 1026576 -10628640 120543840 -1486442880 19802759040 | +| 184 | StirlingSet:Inv:Rev | DiagRow3 | A000399 | 1 -6 35 -225 1624 -13132 118124 -1172700 12753576 -150917976 1931559552 -26596717056 392156797824 | +| 185 | StirlingSet:Inv:Rev | DiagCol1 | A000217 | 0 -1 -3 -6 -10 -15 -21 -28 -36 -45 -55 -66 -78 -91 -105 -120 -136 -153 -171 -190 -210 -231 -253 | +| 186 | StirlingSet:Inv:Rev | DiagCol2 | A000914 | 0 2 11 35 85 175 322 546 870 1320 1925 2717 3731 5005 6580 8500 10812 13566 16815 20615 25025 30107 | +| 187 | StirlingSet:Inv:Rev | DiagCol3 | A001303 | 0 -6 -50 -225 -735 -1960 -4536 -9450 -18150 -32670 -55770 -91091 -143325 -218400 -323680 -468180 | +| 188 | StirlingSet:Inv:Rev | Poly | A071024 | 1 1 1 1 1 1 1 0 1 1 1 0 -1 1 1 1 0 3 -2 1 1 1 0 -15 10 -3 1 1 1 0 105 -80 21 -4 1 1 1 0 -945 880 | +| 189 | StirlingSet:Inv:Rev | PolyRow2 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 190 | StirlingSet:Inv:Rev | PolyRow3 | A014105 | 1 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | +| 191 | StirlingSet:Inv:Rev | PolyCol2 | A330797 | 1 1 -1 3 -15 105 -945 10395 -135135 2027025 -34459425 654729075 -13749310575 316234143225 | +| 192 | StirlingSet:Inv:Rev | PolyCol3 | A008544 | 1 1 -2 10 -80 880 -12320 209440 -4188800 96342400 -2504902400 72642169600 -2324549427200 | +| 193 | StirlingSet:Inv:Rev | PolyDiag | A349731 | 1 1 -1 10 -231 9576 -623645 58715280 -7547514975 1270453824640 -271252029133449 71635824470246400 | \ No newline at end of file diff --git a/data/md/StirlingSet2.md b/data/md/StirlingSet2.md index 026d65d..4dfb594 100644 --- a/data/md/StirlingSet2.md +++ b/data/md/StirlingSet2.md @@ -1,76 +1,114 @@ -| | triangle | trait | anum | seq | -|---:|:-----------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | StirlingSet2:Std | Triangle | A358623 | 1 0 0 0 1 0 0 1 0 0 0 1 3 0 0 0 1 10 0 0 0 0 1 25 15 0 0 0 0 1 56 105 0 0 0 0 0 1 119 490 105 0 0 0 | -| 1 | StirlingSet2:Std | Rev | missing | 1 0 0 0 1 0 0 0 1 0 0 0 3 1 0 0 0 0 10 1 0 0 0 0 15 25 1 0 0 0 0 0 105 56 1 0 0 0 0 0 105 490 119 1 | -| 2 | StirlingSet2:Std | Acc | missing | 1 0 0 0 1 1 0 1 1 1 0 1 4 4 4 0 1 11 11 11 11 0 1 26 41 41 41 41 0 1 57 162 162 162 162 162 0 1 120 | -| 3 | StirlingSet2:Std | AccRev | missing | 1 0 0 0 1 1 0 0 1 1 0 0 3 4 4 0 0 0 10 11 11 0 0 0 15 40 41 41 0 0 0 0 105 161 162 162 0 0 0 0 105 | -| 4 | StirlingSet2:Std | AntiDiag | missing | 1 0 0 0 0 1 0 1 0 0 1 0 0 1 3 0 0 1 10 0 0 1 25 0 0 0 1 56 15 0 0 1 119 105 0 0 0 1 246 490 0 0 0 1 | -| 5 | StirlingSet2:Std | Diffx1 | missing | 1 0 0 0 2 0 0 2 0 0 0 2 9 0 0 0 2 30 0 0 0 0 2 75 60 0 0 0 0 2 168 420 0 0 0 0 0 2 357 1960 525 0 0 | -| 6 | StirlingSet2:Std | RowSum | A000296 | 1 0 1 1 4 11 41 162 715 3425 17722 98253 580317 3633280 24011157 166888165 1216070380 9264071767 | -| 7 | StirlingSet2:Std | EvenSum | A097763 | 1 0 0 0 3 10 25 56 224 1506 9951 57992 315425 1761552 11022180 78474748 603715831 4771273414 | -| 8 | StirlingSet2:Std | OddSum | A097762 | 0 0 1 1 1 1 16 106 491 1919 7771 40261 264892 1871728 12988977 88413417 612354549 4492798353 | -| 9 | StirlingSet2:Std | AltSum | A014182 | 1 0 -1 -1 2 9 9 -50 -267 -413 2180 17731 50533 -110176 -1966797 -9938669 -8638718 278475061 | -| 10 | StirlingSet2:Std | DiagSum | missing | 1 0 0 1 1 1 4 11 26 72 225 737 2525 9098 34421 136324 563590 2425875 10847031 50288497 241342066 | -| 11 | StirlingSet2:Std | AccSum | missing | 1 0 2 3 13 45 191 868 4306 22963 130939 793661 5089877 34398884 244145110 1814307615 14079335333 | -| 12 | StirlingSet2:Std | AccRevSum | missing | 1 0 2 2 11 32 137 590 2844 14712 81725 483628 3034561 20100316 140033402 1022791190 7809931507 | -| 13 | StirlingSet2:Std | RowLcm | missing | 1 1 1 1 3 10 75 840 24990 7077420 20515950 8197427700 37491431739300 658988595064800 | -| 14 | StirlingSet2:Std | RowGcd | missing | 1 1 1 1 3 10 5 7 7 2 3 11 11 13 13 1 1 34 17 19 19 1 1 23 23 1 5 1 3 29 29 31 | -| 15 | StirlingSet2:Std | RowMax | missing | 1 0 1 1 3 10 25 105 490 1918 9450 56980 302995 1636635 12122110 81431350 510880370 4104160060 | -| 16 | StirlingSet2:Std | ColMiddle | B259877 | 1 0 1 1 3 10 15 105 105 1260 945 17325 10395 270270 135135 4729725 2027025 91891800 34459425 | -| 17 | StirlingSet2:Std | CentralE | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | -| 18 | StirlingSet2:Std | CentralO | A000457 | 0 1 10 105 1260 17325 270270 4729725 91891800 1964187225 45831035250 1159525191825 31623414322500 | -| 19 | StirlingSet2:Std | BinConv | missing | 1 0 2 3 22 105 681 4858 38130 328737 3064195 30647496 327006747 3701035286 44230746938 556023501335 | -| 20 | StirlingSet2:Std | InvBinConv | missing | 1 0 -2 3 14 -95 69 2506 -16766 -6495 949895 -7070624 -7563117 646135854 -5766448338 -4025622145 | -| 21 | StirlingSet2:Std | TransNat0 | missing | 0 0 1 1 7 21 96 428 2129 11287 64003 385375 2454244 16467036 116022245 855903025 6593861127 | -| 22 | StirlingSet2:Std | TransNat1 | missing | 1 0 2 2 11 32 137 590 2844 14712 81725 483628 3034561 20100316 140033402 1022791190 7809931507 | -| 23 | StirlingSet2:Std | TransSqrs | missing | 0 0 1 1 13 41 236 1170 6567 38407 238255 1555269 10663500 76572952 574498601 4493360097 36562942537 | -| 24 | StirlingSet2:Std | PosHalf | A337038 | 1 0 2 4 20 96 552 3536 25104 194816 1637408 14792768 142761280 1464117760 15886137984 181667507456 | -| 25 | StirlingSet2:Std | NegHalf | A334190 | 1 0 -2 4 4 -64 248 -48 -6512 51200 -171296 -830400 17870400 -144684032 441316224 5976726784 | -| 26 | StirlingSet2:Std | DiagRow1 | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 27 | StirlingSet2:Std | DiagRow2 | A169585 | 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 28 | StirlingSet2:Std | DiagRow3 | missing | 0 1 10 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 29 | StirlingSet2:Std | DiagCol1 | A011584 | 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 30 | StirlingSet2:Std | DiagCol2 | A000247 | 0 0 3 10 25 56 119 246 501 1012 2035 4082 8177 16368 32751 65518 131053 262124 524267 1048554 | -| 31 | StirlingSet2:Std | DiagCol3 | B000478 | 0 0 0 15 105 490 1918 6825 22935 74316 235092 731731 2252341 6879678 20900922 63259533 190957923 | -| 32 | StirlingSet2:Std | Poly | A341279 | 1 0 1 0 0 1 0 1 0 1 0 1 2 0 1 0 4 2 3 0 1 0 11 14 3 4 0 1 0 41 42 30 4 5 0 1 0 162 222 93 52 5 6 0 | -| 33 | StirlingSet2:Std | PolyRow2 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 34 | StirlingSet2:Std | PolyRow3 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 35 | StirlingSet2:Std | PolyCol2 | A194689 | 1 0 2 2 14 42 222 1066 6078 36490 238046 1653610 12214270 95361866 784071966 6764984362 61066919230 | -| 36 | StirlingSet2:Std | PolyCol3 | missing | 1 0 3 3 30 93 633 3342 22809 156063 1183872 9453711 80455125 721576560 6809391111 67332650007 | -| 37 | StirlingSet2:Std | PolyDiag | A337057 | 1 0 2 3 52 255 4146 38766 688584 9685017 195875110 3655101703 84872077500 1955205893680 | -| 38 | StirlingSet2:Rev | Triangle | missing | 1 0 0 0 1 0 0 0 1 0 0 0 3 1 0 0 0 0 10 1 0 0 0 0 15 25 1 0 0 0 0 0 105 56 1 0 0 0 0 0 105 490 119 1 | -| 39 | StirlingSet2:Rev | Acc | missing | 1 0 0 0 1 1 0 0 1 1 0 0 3 4 4 0 0 0 10 11 11 0 0 0 15 40 41 41 0 0 0 0 105 161 162 162 0 0 0 0 105 | -| 40 | StirlingSet2:Rev | AccRev | missing | 1 0 0 0 1 1 0 1 1 1 0 1 4 4 4 0 1 11 11 11 11 0 1 26 41 41 41 41 0 1 57 162 162 162 162 162 0 1 120 | -| 41 | StirlingSet2:Rev | AntiDiag | A092669 | 1 0 0 0 0 1 0 0 0 0 0 1 0 0 3 0 0 0 0 1 0 0 0 10 0 0 0 0 15 1 0 0 0 0 25 0 0 0 0 0 105 1 0 0 0 0 | -| 42 | StirlingSet2:Rev | Diffx1 | missing | 1 0 0 0 2 0 0 0 3 0 0 0 9 4 0 0 0 0 40 5 0 0 0 0 60 125 6 0 0 0 0 0 525 336 7 0 0 0 0 0 525 2940 | -| 43 | StirlingSet2:Rev | RowSum | A000296 | 1 0 1 1 4 11 41 162 715 3425 17722 98253 580317 3633280 24011157 166888165 1216070380 9264071767 | -| 44 | StirlingSet2:Rev | EvenSum | missing | 1 0 0 1 3 1 25 106 224 1919 9951 40261 315425 1871728 11022180 88413417 603715831 4492798353 | -| 45 | StirlingSet2:Rev | OddSum | missing | 0 0 1 0 1 10 16 56 491 1506 7771 57992 264892 1761552 12988977 78474748 612354549 4771273414 | -| 46 | StirlingSet2:Rev | AltSum | A014182 | 1 0 -1 1 2 -9 9 50 -267 413 2180 -17731 50533 110176 -1966797 9938669 -8638718 -278475061 | -| 47 | StirlingSet2:Rev | DiagSum | missing | 1 0 0 1 0 1 3 1 10 16 25 106 161 491 1379 2864 9696 24151 67876 213511 574277 1846087 5588330 | -| 48 | StirlingSet2:Rev | AccSum | missing | 1 0 2 2 11 32 137 590 2844 14712 81725 483628 3034561 20100316 140033402 1022791190 7809931507 | -| 49 | StirlingSet2:Rev | AccRevSum | missing | 1 0 2 3 13 45 191 868 4306 22963 130939 793661 5089877 34398884 244145110 1814307615 14079335333 | -| 50 | StirlingSet2:Rev | RowLcm | missing | 1 1 1 1 3 10 75 840 24990 7077420 20515950 8197427700 37491431739300 658988595064800 | -| 51 | StirlingSet2:Rev | RowGcd | missing | 1 1 1 1 3 10 5 7 7 2 3 11 11 13 13 1 1 34 17 19 19 1 1 23 23 1 5 1 3 29 29 31 | -| 52 | StirlingSet2:Rev | RowMax | missing | 1 0 1 1 3 10 25 105 490 1918 9450 56980 302995 1636635 12122110 81431350 510880370 4104160060 | -| 53 | StirlingSet2:Rev | ColMiddle | A123023 | 1 0 1 0 3 0 15 0 105 0 945 0 10395 0 135135 0 2027025 0 34459425 0 654729075 0 13749310575 0 | -| 54 | StirlingSet2:Rev | CentralE | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | -| 55 | StirlingSet2:Rev | BinConv | missing | 1 0 2 3 22 105 681 4858 38130 328737 3064195 30647496 327006747 3701035286 44230746938 556023501335 | -| 56 | StirlingSet2:Rev | InvBinConv | missing | 1 0 -2 -3 14 95 69 -2506 -16766 6495 949895 7070624 -7563117 -646135854 -5766448338 4025622145 | -| 57 | StirlingSet2:Rev | TransNat0 | missing | 0 0 1 2 9 34 150 706 3591 19538 113217 695408 4509560 30765604 220133953 1647419450 12863264953 | -| 58 | StirlingSet2:Rev | TransNat1 | missing | 1 0 2 3 13 45 191 868 4306 22963 130939 793661 5089877 34398884 244145110 1814307615 14079335333 | -| 59 | StirlingSet2:Rev | TransSqrs | missing | 0 0 1 4 21 106 560 3116 18263 112666 730395 4965632 35327292 262454336 2032062513 16366106472 | -| 60 | StirlingSet2:Rev | PosHalf | A194689 | 1 0 2 2 14 42 222 1066 6078 36490 238046 1653610 12214270 95361866 784071966 6764984362 61066919230 | -| 61 | StirlingSet2:Rev | NegHalf | missing | 1 0 -2 -2 10 38 -22 -618 -1766 5798 68362 177846 -1171590 -13144250 -38045334 306530902 4044308698 | -| 62 | StirlingSet2:Rev | DiagRow1 | A011584 | 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 63 | StirlingSet2:Rev | DiagRow2 | A000247 | 0 0 3 10 25 56 119 246 501 1012 2035 4082 8177 16368 32751 65518 131053 262124 524267 1048554 | -| 64 | StirlingSet2:Rev | DiagRow3 | B000478 | 0 0 0 15 105 490 1918 6825 22935 74316 235092 731731 2252341 6879678 20900922 63259533 190957923 | -| 65 | StirlingSet2:Rev | DiagCol1 | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 66 | StirlingSet2:Rev | DiagCol2 | A169585 | 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 67 | StirlingSet2:Rev | DiagCol3 | missing | 0 1 10 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 68 | StirlingSet2:Rev | Poly | A341279 | 1 0 1 0 0 1 0 1 0 1 0 1 2 0 1 0 4 4 3 0 1 0 11 20 9 4 0 1 0 41 96 54 16 5 0 1 0 162 552 351 112 25 | -| 69 | StirlingSet2:Rev | PolyRow2 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 70 | StirlingSet2:Rev | PolyRow3 | A000290 | 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 | -| 71 | StirlingSet2:Rev | PolyCol2 | A337038 | 1 0 2 4 20 96 552 3536 25104 194816 1637408 14792768 142761280 1464117760 15886137984 181667507456 | -| 72 | StirlingSet2:Rev | PolyCol3 | A337039 | 1 0 3 9 54 351 2673 22842 216513 2248965 25351704 307699965 3995419365 55207193328 808078734999 | -| 73 | StirlingSet2:Rev | PolyDiag | A337043 | 1 0 2 9 112 1875 43416 1310946 49778688 2313362673 128894500000 8469572721533 647341071298560 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:-----------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | StirlingSet2:Std | Triangle | A358623 | 1 0 0 0 1 0 0 1 0 0 0 1 3 0 0 0 1 10 0 0 0 0 1 25 15 0 0 0 0 1 56 105 0 0 0 0 0 1 119 490 105 0 0 0 | +| 1 | StirlingSet2:Std | Rev | missing | 1 0 0 0 1 0 0 0 1 0 0 0 3 1 0 0 0 0 10 1 0 0 0 0 15 25 1 0 0 0 0 0 105 56 1 0 0 0 0 0 105 490 119 1 | +| 2 | StirlingSet2:Std | Acc | missing | 1 0 0 0 1 1 0 1 1 1 0 1 4 4 4 0 1 11 11 11 11 0 1 26 41 41 41 41 0 1 57 162 162 162 162 162 0 1 120 | +| 3 | StirlingSet2:Std | AccRev | missing | 1 0 0 0 1 1 0 0 1 1 0 0 3 4 4 0 0 0 10 11 11 0 0 0 15 40 41 41 0 0 0 0 105 161 162 162 0 0 0 0 105 | +| 4 | StirlingSet2:Std | AntiDiag | missing | 1 0 0 0 0 1 0 1 0 0 1 0 0 1 3 0 0 1 10 0 0 1 25 0 0 0 1 56 15 0 0 1 119 105 0 0 0 1 246 490 0 0 0 1 | +| 5 | StirlingSet2:Std | Diffx1 | missing | 1 0 0 0 2 0 0 2 0 0 0 2 9 0 0 0 2 30 0 0 0 0 2 75 60 0 0 0 0 2 168 420 0 0 0 0 0 2 357 1960 525 0 0 | +| 6 | StirlingSet2:Std | RowSum | A000296 | 1 0 1 1 4 11 41 162 715 3425 17722 98253 580317 3633280 24011157 166888165 1216070380 9264071767 | +| 7 | StirlingSet2:Std | EvenSum | A097763 | 1 0 0 0 3 10 25 56 224 1506 9951 57992 315425 1761552 11022180 78474748 603715831 4771273414 | +| 8 | StirlingSet2:Std | OddSum | A097762 | 0 0 1 1 1 1 16 106 491 1919 7771 40261 264892 1871728 12988977 88413417 612354549 4492798353 | +| 9 | StirlingSet2:Std | AltSum | A014182 | 1 0 -1 -1 2 9 9 -50 -267 -413 2180 17731 50533 -110176 -1966797 -9938669 -8638718 278475061 | +| 10 | StirlingSet2:Std | DiagSum | missing | 1 0 0 1 1 1 4 11 26 72 225 737 2525 9098 34421 136324 563590 2425875 10847031 50288497 241342066 | +| 11 | StirlingSet2:Std | AccSum | missing | 1 0 2 3 13 45 191 868 4306 22963 130939 793661 5089877 34398884 244145110 1814307615 14079335333 | +| 12 | StirlingSet2:Std | AccRevSum | missing | 1 0 2 2 11 32 137 590 2844 14712 81725 483628 3034561 20100316 140033402 1022791190 7809931507 | +| 13 | StirlingSet2:Std | RowLcm | missing | 1 1 1 1 3 10 75 840 24990 7077420 20515950 8197427700 37491431739300 658988595064800 | +| 14 | StirlingSet2:Std | RowGcd | missing | 1 1 1 1 3 10 5 7 7 2 3 11 11 13 13 1 1 34 17 19 19 1 1 23 23 1 5 1 3 29 29 31 | +| 15 | StirlingSet2:Std | RowMax | missing | 1 0 1 1 3 10 25 105 490 1918 9450 56980 302995 1636635 12122110 81431350 510880370 4104160060 | +| 16 | StirlingSet2:Std | ColMiddle | B259877 | 1 0 1 1 3 10 15 105 105 1260 945 17325 10395 270270 135135 4729725 2027025 91891800 34459425 | +| 17 | StirlingSet2:Std | CentralE | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | +| 18 | StirlingSet2:Std | CentralO | A000457 | 0 1 10 105 1260 17325 270270 4729725 91891800 1964187225 45831035250 1159525191825 31623414322500 | +| 19 | StirlingSet2:Std | BinConv | missing | 1 0 2 3 22 105 681 4858 38130 328737 3064195 30647496 327006747 3701035286 44230746938 556023501335 | +| 20 | StirlingSet2:Std | InvBinConv | missing | 1 0 -2 3 14 -95 69 2506 -16766 -6495 949895 -7070624 -7563117 646135854 -5766448338 -4025622145 | +| 21 | StirlingSet2:Std | TransNat0 | missing | 0 0 1 1 7 21 96 428 2129 11287 64003 385375 2454244 16467036 116022245 855903025 6593861127 | +| 22 | StirlingSet2:Std | TransNat1 | missing | 1 0 2 2 11 32 137 590 2844 14712 81725 483628 3034561 20100316 140033402 1022791190 7809931507 | +| 23 | StirlingSet2:Std | TransSqrs | missing | 0 0 1 1 13 41 236 1170 6567 38407 238255 1555269 10663500 76572952 574498601 4493360097 36562942537 | +| 24 | StirlingSet2:Std | PosHalf | A337038 | 1 0 2 4 20 96 552 3536 25104 194816 1637408 14792768 142761280 1464117760 15886137984 181667507456 | +| 25 | StirlingSet2:Std | NegHalf | A334190 | 1 0 -2 4 4 -64 248 -48 -6512 51200 -171296 -830400 17870400 -144684032 441316224 5976726784 | +| 26 | StirlingSet2:Std | DiagRow1 | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 27 | StirlingSet2:Std | DiagRow2 | A169585 | 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 28 | StirlingSet2:Std | DiagRow3 | missing | 0 1 10 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 29 | StirlingSet2:Std | DiagCol1 | A011584 | 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 30 | StirlingSet2:Std | DiagCol2 | A000247 | 0 0 3 10 25 56 119 246 501 1012 2035 4082 8177 16368 32751 65518 131053 262124 524267 1048554 | +| 31 | StirlingSet2:Std | DiagCol3 | B000478 | 0 0 0 15 105 490 1918 6825 22935 74316 235092 731731 2252341 6879678 20900922 63259533 190957923 | +| 32 | StirlingSet2:Std | Poly | A341279 | 1 0 1 0 0 1 0 1 0 1 0 1 2 0 1 0 4 2 3 0 1 0 11 14 3 4 0 1 0 41 42 30 4 5 0 1 0 162 222 93 52 5 6 0 | +| 33 | StirlingSet2:Std | PolyRow2 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 34 | StirlingSet2:Std | PolyRow3 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 35 | StirlingSet2:Std | PolyCol2 | A194689 | 1 0 2 2 14 42 222 1066 6078 36490 238046 1653610 12214270 95361866 784071966 6764984362 61066919230 | +| 36 | StirlingSet2:Std | PolyCol3 | missing | 1 0 3 3 30 93 633 3342 22809 156063 1183872 9453711 80455125 721576560 6809391111 67332650007 | +| 37 | StirlingSet2:Std | PolyDiag | A337057 | 1 0 2 3 52 255 4146 38766 688584 9685017 195875110 3655101703 84872077500 1955205893680 | +| 38 | StirlingSet2:Alt | Triangle | A358623 | 1 0 0 0 -1 0 0 -1 0 0 0 -1 3 0 0 0 -1 10 0 0 0 0 -1 25 -15 0 0 0 0 -1 56 -105 0 0 0 0 0 -1 119 -490 | +| 39 | StirlingSet2:Alt | Rev | missing | 1 0 0 0 -1 0 0 0 -1 0 0 0 3 -1 0 0 0 0 10 -1 0 0 0 0 -15 25 -1 0 0 0 0 0 -105 56 -1 0 0 0 0 0 105 | +| 40 | StirlingSet2:Alt | Acc | missing | 1 0 0 0 -1 -1 0 -1 -1 -1 0 -1 2 2 2 0 -1 9 9 9 9 0 -1 24 9 9 9 9 0 -1 55 -50 -50 -50 -50 -50 0 -1 | +| 41 | StirlingSet2:Alt | AccRev | missing | 1 0 0 0 -1 -1 0 0 -1 -1 0 0 3 2 2 0 0 0 10 9 9 0 0 0 -15 10 9 9 0 0 0 0 -105 -49 -50 -50 0 0 0 0 | +| 42 | StirlingSet2:Alt | AntiDiag | missing | 1 0 0 0 0 -1 0 -1 0 0 -1 0 0 -1 3 0 0 -1 10 0 0 -1 25 0 0 0 -1 56 -15 0 0 -1 119 -105 0 0 0 -1 246 | +| 43 | StirlingSet2:Alt | Diffx1 | missing | 1 0 0 0 -2 0 0 -2 0 0 0 -2 9 0 0 0 -2 30 0 0 0 0 -2 75 -60 0 0 0 0 -2 168 -420 0 0 0 0 0 -2 357 | +| 44 | StirlingSet2:Alt | RowSum | A014182 | 1 0 -1 -1 2 9 9 -50 -267 -413 2180 17731 50533 -110176 -1966797 -9938669 -8638718 278475061 | +| 45 | StirlingSet2:Alt | EvenSum | A097763 | 1 0 0 0 3 10 25 56 224 1506 9951 57992 315425 1761552 11022180 78474748 603715831 4771273414 | +| 46 | StirlingSet2:Alt | OddSum | A097762 | 0 0 -1 -1 -1 -1 -16 -106 -491 -1919 -7771 -40261 -264892 -1871728 -12988977 -88413417 -612354549 | +| 47 | StirlingSet2:Alt | AltSum | A000296 | 1 0 1 1 4 11 41 162 715 3425 17722 98253 580317 3633280 24011157 166888165 1216070380 9264071767 | +| 48 | StirlingSet2:Alt | DiagSum | missing | 1 0 0 -1 -1 -1 2 9 24 40 13 -245 -1313 -4554 -11451 -14200 58754 581261 3069077 12284919 36677520 | +| 49 | StirlingSet2:Alt | AccSum | missing | 1 0 -2 -3 5 35 59 -196 -1590 -3907 10379 138259 554333 -232596 -18020822 -120878031 -266314563 | +| 50 | StirlingSet2:Alt | AccRevSum | missing | 1 0 -2 -2 7 28 13 -254 -1080 -636 15781 92244 153129 -1420044 -13447930 -48079342 110817639 | +| 51 | StirlingSet2:Alt | RowLcm | missing | 1 1 1 1 3 10 75 840 24990 7077420 20515950 8197427700 37491431739300 658988595064800 | +| 52 | StirlingSet2:Alt | RowGcd | missing | 1 1 1 1 3 10 5 7 7 2 3 11 11 13 13 1 1 34 17 19 19 1 1 23 23 1 5 1 3 29 29 31 | +| 53 | StirlingSet2:Alt | RowMax | missing | 1 0 1 1 3 10 25 105 490 1918 9450 56980 302995 1636635 12122110 81431350 510880370 4104160060 | +| 54 | StirlingSet2:Alt | ColMiddle | B259877 | 1 0 -1 -1 3 10 -15 -105 105 1260 -945 -17325 10395 270270 -135135 -4729725 2027025 91891800 | +| 55 | StirlingSet2:Alt | CentralE | A001147 | 1 -1 3 -15 105 -945 10395 -135135 2027025 -34459425 654729075 -13749310575 316234143225 | +| 56 | StirlingSet2:Alt | CentralO | A000457 | 0 -1 10 -105 1260 -17325 270270 -4729725 91891800 -1964187225 45831035250 -1159525191825 | +| 57 | StirlingSet2:Alt | BinConv | missing | 1 0 -2 -3 14 95 69 -2506 -16766 6495 949895 7070624 -7563117 -646135854 -5766448338 4025622145 | +| 58 | StirlingSet2:Alt | InvBinConv | missing | 1 0 2 -3 22 -105 681 -4858 38130 -328737 3064195 -30647496 327006747 -3701035286 44230746938 | +| 59 | StirlingSet2:Alt | TransNat0 | missing | 0 0 -1 -1 5 19 4 -204 -813 -223 13601 74513 102596 -1309868 -11481133 -38140673 119456357 | +| 60 | StirlingSet2:Alt | TransNat1 | missing | 1 0 -2 -2 7 28 13 -254 -1080 -636 15781 92244 153129 -1420044 -13447930 -48079342 110817639 | +| 61 | StirlingSet2:Alt | TransSqrs | missing | 0 0 -1 -1 11 39 -36 -722 -2255 3881 68153 276187 -202940 -9490456 -58021289 -82262593 1624828831 | +| 62 | StirlingSet2:Alt | PosHalf | A334190 | 1 0 -2 -4 4 64 248 48 -6512 -51200 -171296 830400 17870400 144684032 441316224 -5976726784 | +| 63 | StirlingSet2:Alt | NegHalf | A337038 | 1 0 2 -4 20 -96 552 -3536 25104 -194816 1637408 -14792768 142761280 -1464117760 15886137984 | +| 64 | StirlingSet2:Alt | DiagRow1 | A033683 | 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 65 | StirlingSet2:Alt | DiagRow2 | A169585 | 0 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 66 | StirlingSet2:Alt | DiagRow3 | missing | 0 -1 10 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 67 | StirlingSet2:Alt | DiagCol1 | A011584 | 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 | +| 68 | StirlingSet2:Alt | DiagCol2 | A000247 | 0 0 3 10 25 56 119 246 501 1012 2035 4082 8177 16368 32751 65518 131053 262124 524267 1048554 | +| 69 | StirlingSet2:Alt | DiagCol3 | B000478 | 0 0 0 -15 -105 -490 -1918 -6825 -22935 -74316 -235092 -731731 -2252341 -6879678 -20900922 -63259533 | +| 70 | StirlingSet2:Alt | Poly | A341279 | 1 0 1 0 0 1 0 -1 0 1 0 -1 -2 0 1 0 2 -2 -3 0 1 0 9 10 -3 -4 0 1 0 9 38 24 -4 -5 0 1 0 -50 -22 87 44 | +| 71 | StirlingSet2:Alt | PolyRow2 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 72 | StirlingSet2:Alt | PolyRow3 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 73 | StirlingSet2:Alt | PolyCol2 | missing | 1 0 -2 -2 10 38 -22 -618 -1766 5798 68362 177846 -1171590 -13144250 -38045334 306530902 4044308698 | +| 74 | StirlingSet2:Alt | PolyCol3 | missing | 1 0 -3 -3 24 87 -183 -2334 -3657 52485 356046 -204735 -16177395 -86523024 287451681 6947570337 | +| 75 | StirlingSet2:Alt | PolyDiag | A334243 | 1 0 -2 -3 44 245 -2346 -33278 186808 6888555 -6774910 -1986368439 -10227075420 738830661296 | +| 76 | StirlingSet2:Rev | Triangle | missing | 1 0 0 0 1 0 0 0 1 0 0 0 3 1 0 0 0 0 10 1 0 0 0 0 15 25 1 0 0 0 0 0 105 56 1 0 0 0 0 0 105 490 119 1 | +| 77 | StirlingSet2:Rev | Acc | missing | 1 0 0 0 1 1 0 0 1 1 0 0 3 4 4 0 0 0 10 11 11 0 0 0 15 40 41 41 0 0 0 0 105 161 162 162 0 0 0 0 105 | +| 78 | StirlingSet2:Rev | AccRev | missing | 1 0 0 0 1 1 0 1 1 1 0 1 4 4 4 0 1 11 11 11 11 0 1 26 41 41 41 41 0 1 57 162 162 162 162 162 0 1 120 | +| 79 | StirlingSet2:Rev | AntiDiag | A092669 | 1 0 0 0 0 1 0 0 0 0 0 1 0 0 3 0 0 0 0 1 0 0 0 10 0 0 0 0 15 1 0 0 0 0 25 0 0 0 0 0 105 1 0 0 0 0 | +| 80 | StirlingSet2:Rev | Diffx1 | missing | 1 0 0 0 2 0 0 0 3 0 0 0 9 4 0 0 0 0 40 5 0 0 0 0 60 125 6 0 0 0 0 0 525 336 7 0 0 0 0 0 525 2940 | +| 81 | StirlingSet2:Rev | RowSum | A000296 | 1 0 1 1 4 11 41 162 715 3425 17722 98253 580317 3633280 24011157 166888165 1216070380 9264071767 | +| 82 | StirlingSet2:Rev | EvenSum | missing | 1 0 0 1 3 1 25 106 224 1919 9951 40261 315425 1871728 11022180 88413417 603715831 4492798353 | +| 83 | StirlingSet2:Rev | OddSum | missing | 0 0 1 0 1 10 16 56 491 1506 7771 57992 264892 1761552 12988977 78474748 612354549 4771273414 | +| 84 | StirlingSet2:Rev | AltSum | A014182 | 1 0 -1 1 2 -9 9 50 -267 413 2180 -17731 50533 110176 -1966797 9938669 -8638718 -278475061 | +| 85 | StirlingSet2:Rev | DiagSum | missing | 1 0 0 1 0 1 3 1 10 16 25 106 161 491 1379 2864 9696 24151 67876 213511 574277 1846087 5588330 | +| 86 | StirlingSet2:Rev | AccSum | missing | 1 0 2 2 11 32 137 590 2844 14712 81725 483628 3034561 20100316 140033402 1022791190 7809931507 | +| 87 | StirlingSet2:Rev | AccRevSum | missing | 1 0 2 3 13 45 191 868 4306 22963 130939 793661 5089877 34398884 244145110 1814307615 14079335333 | +| 88 | StirlingSet2:Rev | RowLcm | missing | 1 1 1 1 3 10 75 840 24990 7077420 20515950 8197427700 37491431739300 658988595064800 | +| 89 | StirlingSet2:Rev | RowGcd | missing | 1 1 1 1 3 10 5 7 7 2 3 11 11 13 13 1 1 34 17 19 19 1 1 23 23 1 5 1 3 29 29 31 | +| 90 | StirlingSet2:Rev | RowMax | missing | 1 0 1 1 3 10 25 105 490 1918 9450 56980 302995 1636635 12122110 81431350 510880370 4104160060 | +| 91 | StirlingSet2:Rev | ColMiddle | A123023 | 1 0 1 0 3 0 15 0 105 0 945 0 10395 0 135135 0 2027025 0 34459425 0 654729075 0 13749310575 0 | +| 92 | StirlingSet2:Rev | CentralE | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | +| 93 | StirlingSet2:Rev | BinConv | missing | 1 0 2 3 22 105 681 4858 38130 328737 3064195 30647496 327006747 3701035286 44230746938 556023501335 | +| 94 | StirlingSet2:Rev | InvBinConv | missing | 1 0 -2 -3 14 95 69 -2506 -16766 6495 949895 7070624 -7563117 -646135854 -5766448338 4025622145 | +| 95 | StirlingSet2:Rev | TransNat0 | missing | 0 0 1 2 9 34 150 706 3591 19538 113217 695408 4509560 30765604 220133953 1647419450 12863264953 | +| 96 | StirlingSet2:Rev | TransNat1 | missing | 1 0 2 3 13 45 191 868 4306 22963 130939 793661 5089877 34398884 244145110 1814307615 14079335333 | +| 97 | StirlingSet2:Rev | TransSqrs | missing | 0 0 1 4 21 106 560 3116 18263 112666 730395 4965632 35327292 262454336 2032062513 16366106472 | +| 98 | StirlingSet2:Rev | PosHalf | A194689 | 1 0 2 2 14 42 222 1066 6078 36490 238046 1653610 12214270 95361866 784071966 6764984362 61066919230 | +| 99 | StirlingSet2:Rev | NegHalf | missing | 1 0 -2 -2 10 38 -22 -618 -1766 5798 68362 177846 -1171590 -13144250 -38045334 306530902 4044308698 | +| 100 | StirlingSet2:Rev | DiagRow1 | A011584 | 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 101 | StirlingSet2:Rev | DiagRow2 | A000247 | 0 0 3 10 25 56 119 246 501 1012 2035 4082 8177 16368 32751 65518 131053 262124 524267 1048554 | +| 102 | StirlingSet2:Rev | DiagRow3 | B000478 | 0 0 0 15 105 490 1918 6825 22935 74316 235092 731731 2252341 6879678 20900922 63259533 190957923 | +| 103 | StirlingSet2:Rev | DiagCol1 | A033683 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 104 | StirlingSet2:Rev | DiagCol2 | A169585 | 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 105 | StirlingSet2:Rev | DiagCol3 | missing | 0 1 10 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 106 | StirlingSet2:Rev | Poly | A341279 | 1 0 1 0 0 1 0 1 0 1 0 1 2 0 1 0 4 4 3 0 1 0 11 20 9 4 0 1 0 41 96 54 16 5 0 1 0 162 552 351 112 25 | +| 107 | StirlingSet2:Rev | PolyRow2 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 108 | StirlingSet2:Rev | PolyRow3 | A000290 | 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 | +| 109 | StirlingSet2:Rev | PolyCol2 | A337038 | 1 0 2 4 20 96 552 3536 25104 194816 1637408 14792768 142761280 1464117760 15886137984 181667507456 | +| 110 | StirlingSet2:Rev | PolyCol3 | A337039 | 1 0 3 9 54 351 2673 22842 216513 2248965 25351704 307699965 3995419365 55207193328 808078734999 | +| 111 | StirlingSet2:Rev | PolyDiag | A337043 | 1 0 2 9 112 1875 43416 1310946 49778688 2313362673 128894500000 8469572721533 647341071298560 | \ No newline at end of file diff --git a/data/md/StirlingSetB.md b/data/md/StirlingSetB.md index a8b0822..bed41c7 100644 --- a/data/md/StirlingSetB.md +++ b/data/md/StirlingSetB.md @@ -40,124 +40,164 @@ | 37 | StirlingSetB:Std | PolyCol2 | missing | 1 3 15 93 681 5691 53079 544053 6058545 72652179 931542207 12697268205 183092096409 2781622021899 | | 38 | StirlingSetB:Std | PolyCol3 | A308543 | 1 4 24 176 1504 14528 155520 1819392 23019008 312413184 4518705152 69279690752 1120856170496 | | 39 | StirlingSetB:Std | PolyDiag | missing | 1 2 15 176 2865 59712 1517607 45521408 1574116353 61652866560 2697657422911 130420902973440 | -| 40 | StirlingSetB:Rev | Triangle | missing | 1 1 1 1 4 3 1 9 19 11 1 16 70 104 49 1 25 190 550 641 257 1 36 425 2080 4531 4380 1539 1 49 833 | -| 41 | StirlingSetB:Rev | InvRev | missing | 1 -1 1 1 -4 1 -1 17 -9 1 1 -96 74 -16 1 -1 729 -690 210 -25 1 1 -7060 7579 -2840 475 -36 1 -1 83033 | -| 42 | StirlingSetB:Rev | Acc | missing | 1 1 2 1 5 8 1 10 29 40 1 17 87 191 240 1 26 216 766 1407 1664 1 37 462 2542 7073 11453 12992 1 50 | -| 43 | StirlingSetB:Rev | AccRev | missing | 1 1 2 3 7 8 11 30 39 40 49 153 223 239 240 257 898 1448 1638 1663 1664 1539 5919 10450 12530 12955 | -| 44 | StirlingSetB:Rev | AntiDiag | missing | 1 1 1 1 1 4 1 9 3 1 16 19 1 25 70 11 1 36 190 104 1 49 425 550 49 1 64 833 2080 641 1 81 1484 6265 | -| 45 | StirlingSetB:Rev | Diffx1 | missing | 1 1 2 1 8 9 1 18 57 44 1 32 210 416 245 1 50 570 2200 3205 1542 1 72 1275 8320 22655 26280 10773 1 | -| 46 | StirlingSetB:Rev | RowSum | A055882 | 1 2 8 40 240 1664 12992 112256 1059840 10827264 118758400 1389711360 17258893312 226463227904 | -| 47 | StirlingSetB:Rev | EvenSum | missing | 1 1 4 20 120 832 6496 56128 529920 5413632 59379200 694855680 8629446656 113231613952 1563847245824 | -| 48 | StirlingSetB:Rev | OddSum | missing | 0 1 4 20 120 832 6496 56128 529920 5413632 59379200 694855680 8629446656 113231613952 1563847245824 | -| 49 | StirlingSetB:Rev | DiagSum | missing | 1 1 2 5 13 36 107 331 1074 3619 12619 45448 168441 641385 2504234 10008581 40893469 170585916 | -| 50 | StirlingSetB:Rev | AccSum | missing | 1 3 14 80 536 4080 34560 321088 3236736 35103232 406807040 5009579008 65245253632 895155236864 | -| 51 | StirlingSetB:Rev | AccRevSum | missing | 1 3 18 120 904 7568 69376 689216 7361664 83996672 1018293760 13056668672 176379252736 2501793181696 | -| 52 | StirlingSetB:Rev | RowLcm | missing | 1 1 12 1881 50960 1721501650 89999024637600 2559252346698100095 2696411135497225545898058560 | -| 53 | StirlingSetB:Rev | RowMax | missing | 1 1 4 19 104 641 4531 39515 365324 3575820 36971461 402741581 4991365808 65268062938 885442472096 | -| 54 | StirlingSetB:Rev | ColMiddle | missing | 1 1 4 9 70 190 2080 6265 87206 281190 4719624 15982890 312957436 1100247148 24567605920 88980093345 | -| 55 | StirlingSetB:Rev | CentralE | missing | 1 4 70 2080 87206 4719624 312957436 24567605920 2228251766598 229294798634616 26395503979168116 | -| 56 | StirlingSetB:Rev | CentralO | missing | 1 9 190 6265 281190 15982890 1100247148 88980093345 8269472552198 868501427798862 | -| 57 | StirlingSetB:Rev | ColRight | A004211 | 1 1 3 11 49 257 1539 10299 75905 609441 5284451 49134923 487026929 5120905441 56878092067 | -| 58 | StirlingSetB:Rev | BinConv | missing | 1 2 12 96 950 10988 143976 2094032 33318534 573707692 10600961800 208798553824 4359572223292 | -| 59 | StirlingSetB:Rev | InvBinConv | missing | 1 0 -4 -20 -10 776 7784 25432 -416634 -8540368 -72453016 140179304 15367107260 263768178480 | -| 60 | StirlingSetB:Rev | TransNat0 | missing | 0 1 10 80 664 5904 56384 576960 6301824 73169408 899535360 11666957312 159120359424 2275329953792 | -| 61 | StirlingSetB:Rev | TransNat1 | missing | 1 3 18 120 904 7568 69376 689216 7361664 83996672 1018293760 13056668672 176379252736 2501793181696 | -| 62 | StirlingSetB:Rev | TransSqrs | missing | 0 1 16 184 2016 22416 257856 3093056 38803456 509346304 6990144512 100167148544 1496466268160 | -| 63 | StirlingSetB:Rev | PosHalf | missing | 1 3 15 93 681 5691 53079 544053 6058545 72652179 931542207 12697268205 183092096409 2781622021899 | -| 64 | StirlingSetB:Rev | NegHalf | A009235 | 1 -1 -1 1 9 23 -25 -583 -3087 -4401 79087 902097 4783801 -2361049 -348382697 -4102879415 | -| 65 | StirlingSetB:Rev | DiagRow1 | missing | 1 4 19 104 641 4380 32803 266768 2337505 21925236 218946003 2316939256 25878593313 304020964876 | -| 66 | StirlingSetB:Rev | DiagRow2 | missing | 1 9 70 550 4531 39515 365324 3575820 36971461 402741581 4610187154 55316069874 694067320311 | -| 67 | StirlingSetB:Rev | DiagRow3 | missing | 1 16 190 2080 22491 247072 2792476 32659840 396255541 4991365808 65268062938 885442472096 | -| 68 | StirlingSetB:Rev | DiagCol1 | A162395 | 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 | -| 69 | StirlingSetB:Rev | DiagCol2 | missing | 3 19 70 190 425 833 1484 2460 3855 5775 8338 11674 15925 21245 27800 35768 45339 56715 70110 85750 | -| 70 | StirlingSetB:Rev | DiagCol3 | missing | 11 104 550 2080 6265 16016 36204 74400 141735 253880 432146 704704 1107925 1687840 2501720 3619776 | -| 71 | StirlingSetB:Rev | Poly | missing | 1 1 1 1 2 1 1 8 3 1 1 40 21 4 1 1 240 183 40 5 1 1 1664 1929 496 65 6 1 1 12992 23691 7456 1045 96 | -| 72 | StirlingSetB:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 73 | StirlingSetB:Rev | PolyRow2 | B000567 | 1 8 21 40 65 96 133 176 225 280 341 408 481 560 645 736 833 936 1045 1160 1281 1408 1541 1680 1825 | -| 74 | StirlingSetB:Rev | PolyRow3 | missing | 1 40 183 496 1045 1896 3115 4768 6921 9640 12991 17040 21853 27496 34035 41536 50065 59688 70471 | -| 75 | StirlingSetB:Rev | PolyCol2 | missing | 1 3 21 183 1929 23691 329565 5095551 86394513 1589803923 31491693093 667027338951 15023947341081 | -| 76 | StirlingSetB:Rev | PolyCol3 | missing | 1 4 40 496 7456 131008 2613376 58038016 1415303680 37501484032 1070712260608 32716451246080 | -| 77 | StirlingSetB:Rev | PolyDiag | missing | 1 2 21 496 20385 1277376 112199437 13061229056 1937156666625 355391191221760 78810303550006501 | -| 78 | StirlingSetB:Inv | Triangle | missing | 1 -1 1 1 -4 1 -1 17 -9 1 1 -96 74 -16 1 -1 729 -690 210 -25 1 1 -7060 7579 -2840 475 -36 1 -1 83033 | -| 79 | StirlingSetB:Inv | Rev | missing | 1 1 -1 1 -4 1 1 -9 17 -1 1 -16 74 -96 1 1 -25 210 -690 729 -1 1 -36 475 -2840 7579 -7060 1 1 -49 | -| 80 | StirlingSetB:Inv | RevInv | missing | 1 1 1 1 4 3 1 9 19 11 1 16 70 104 49 1 25 190 550 641 257 1 36 425 2080 4531 4380 1539 1 49 833 | -| 81 | StirlingSetB:Inv | InvRev | missing | 1 -1 1 -5 4 1 75 -59 -17 1 7553 -5944 -1706 96 1 -5453363 4291651 1231734 -69294 -729 1 | -| 82 | StirlingSetB:Inv | Acc | missing | 1 -1 0 1 -3 -2 -1 16 7 8 1 -95 -21 -37 -36 -1 728 38 248 223 224 1 -7059 520 -2320 -1845 -1881 | -| 83 | StirlingSetB:Inv | AccRev | missing | 1 1 0 1 -3 -2 1 -8 9 8 1 -15 59 -37 -36 1 -24 186 -504 225 224 1 -35 440 -2400 5179 -1881 -1880 1 | -| 84 | StirlingSetB:Inv | AntiDiag | missing | 1 -1 1 1 -1 -4 1 17 1 -1 -96 -9 1 729 74 1 -1 -7060 -690 -16 1 83033 7579 210 1 -1 -1146656 -97307 | -| 85 | StirlingSetB:Inv | Diffx1 | missing | 1 -1 2 1 -8 3 -1 34 -27 4 1 -192 222 -64 5 -1 1458 -2070 840 -125 6 1 -14120 22737 -11360 2375 -216 | -| 86 | StirlingSetB:Inv | RowSum | A055142 | 1 0 -2 8 -36 224 -1880 19872 -251888 3712256 -62286624 1171487360 -24402416192 557542291968 | -| 87 | StirlingSetB:Inv | EvenSum | missing | 1 -1 2 -10 76 -716 8056 -106072 1604240 -27431056 523457056 -11029720736 254368729792 | -| 88 | StirlingSetB:Inv | OddSum | missing | 0 1 -4 18 -112 940 -9936 125944 -1856128 31143312 -585743680 12201208096 -278771145984 | -| 89 | StirlingSetB:Inv | AltSum | A084262 | 1 -2 6 -28 188 -1656 17992 -232016 3460368 -58574368 1109200736 -23230928832 533139875776 | -| 90 | StirlingSetB:Inv | DiagSum | missing | 1 -1 2 -5 19 -106 805 -7767 90824 -1246829 19643613 -349194840 6912083749 -150747838597 | -| 91 | StirlingSetB:Inv | AccSum | missing | 1 -1 -4 30 -188 1460 -14464 175112 -2494512 40756592 -750182336 15348043744 -345356548800 | -| 92 | StirlingSetB:Inv | AccRevSum | missing | 1 1 -4 10 -28 108 -576 3736 -24368 78224 2742848 -118708064 3722722112 -110898753344 3344119104000 | -| 93 | StirlingSetB:Inv | RowLcm | missing | 1 1 4 153 3552 5868450 6496374713400 2674413767201758365 8381602311980946048 | -| 94 | StirlingSetB:Inv | RowGcd | B297382 | 1 1 4 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 95 | StirlingSetB:Inv | RowMax | missing | 1 1 4 17 96 729 7579 97307 1436532 24010788 448512021 9263024749 209633261694 5159752220246 | -| 96 | StirlingSetB:Inv | ColMiddle | missing | 1 -1 -4 17 74 -690 -2840 41979 166054 -3370710 -13006392 336073562 1275590756 -40044216212 | -| 97 | StirlingSetB:Inv | CentralE | missing | 1 -4 74 -2840 166054 -13006392 1275590756 -150231628976 20649462986438 -3244340330395736 | -| 98 | StirlingSetB:Inv | CentralO | missing | -1 17 -690 41979 -3370710 336073562 -40044216212 5551818806963 -878088454231846 156041241001898174 | -| 99 | StirlingSetB:Inv | BinConv | missing | 1 0 -6 24 -2 -1280 21436 -278768 2992326 -17511744 -391589412 22121578512 -738807000788 | -| 100 | StirlingSetB:Inv | InvBinConv | missing | 1 2 10 80 894 12772 220188 4418864 100793542 2568997340 72233184316 2218158930176 73792960032300 | -| 101 | StirlingSetB:Inv | TransNat0 | missing | 0 1 -2 2 8 -116 1304 -16136 227520 -3634032 65029472 -1290195424 28125138304 -668441045312 | -| 102 | StirlingSetB:Inv | TransNat1 | missing | 1 1 -4 10 -28 108 -576 3736 -24368 78224 2742848 -118708064 3722722112 -110898753344 3344119104000 | -| 103 | StirlingSetB:Inv | TransSqrs | missing | 0 1 0 -10 72 -516 4432 -46264 573248 -8228592 134240384 -2452463520 49592005504 -1099501147200 | -| 104 | StirlingSetB:Inv | PosHalf | missing | 1 -1 -3 43 -487 6903 -125483 2805731 -74339151 2273625199 -78771713491 3047750237211 | -| 105 | StirlingSetB:Inv | NegHalf | missing | 1 3 13 95 1113 18107 371941 9173271 263542705 8636905331 317864233149 12977209598927 | -| 106 | StirlingSetB:Inv | DiagRow1 | A162395 | -1 -4 -9 -16 -25 -36 -49 -64 -81 -100 -121 -144 -169 -196 -225 -256 -289 -324 -361 -400 -441 -484 | -| 107 | StirlingSetB:Inv | DiagRow2 | missing | 1 17 74 210 475 931 1652 2724 4245 6325 9086 12662 17199 22855 29800 38216 48297 60249 74290 90650 | -| 108 | StirlingSetB:Inv | DiagRow3 | missing | -1 -96 -690 -2840 -8715 -22176 -49476 -100080 -187605 -330880 -555126 -893256 -1387295 -2089920 | -| 109 | StirlingSetB:Inv | DiagCol1 | B353546 | 1 -4 17 -96 729 -7060 83033 -1146656 18164625 -324488068 6450956929 -141233271872 3376008830505 | -| 110 | StirlingSetB:Inv | DiagCol2 | missing | 1 -9 74 -690 7579 -97307 1436532 -24010788 448512021 -9263024749 209633261694 -5159752220246 | -| 111 | StirlingSetB:Inv | DiagCol3 | missing | 1 -16 210 -2840 41979 -687232 12447812 -248149040 5410685621 -128249515152 3286014685590 | -| 112 | StirlingSetB:Inv | Poly | missing | 1 -1 1 1 0 1 -1 -2 1 1 1 8 -3 2 1 -1 -36 5 -2 3 1 1 224 -7 -4 1 4 1 -1 -1880 9 28 -13 6 5 1 1 19872 | -| 113 | StirlingSetB:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | -| 114 | StirlingSetB:Inv | PolyRow2 | B123968 | 1 -2 -3 -2 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 673 | -| 115 | StirlingSetB:Inv | PolyRow3 | missing | -1 8 5 -4 -13 -16 -7 20 71 152 269 428 635 896 1217 1604 2063 2600 3221 3932 4739 5648 6665 7796 | -| 116 | StirlingSetB:Inv | PolyCol2 | A060747 | 1 1 -3 5 -7 9 -11 13 -15 17 -19 21 -23 25 -27 29 -31 33 -35 37 -39 41 -43 45 -47 49 -51 53 -55 57 | -| 117 | StirlingSetB:Inv | PolyCol3 | missing | 1 2 -2 -4 28 -136 808 -6448 66064 -821728 11958496 -198818368 3713280448 -76920529024 1749547404928 | -| 118 | StirlingSetB:Inv | PolyDiag | missing | 1 0 -3 -4 33 144 -635 -6672 17409 432512 -618579 -40015680 26978017 5267018496 -1393988427 | -| 119 | StirlingSetB:Inv:Rev | Triangle | missing | 1 1 -1 1 -4 1 1 -9 17 -1 1 -16 74 -96 1 1 -25 210 -690 729 -1 1 -36 475 -2840 7579 -7060 1 1 -49 | -| 120 | StirlingSetB:Inv:Rev | Rev | missing | 1 -1 1 1 -4 1 -1 17 -9 1 1 -96 74 -16 1 -1 729 -690 210 -25 1 1 -7060 7579 -2840 475 -36 1 -1 83033 | -| 121 | StirlingSetB:Inv:Rev | Inv | missing | 1 -1 1 -5 4 1 75 -59 -17 1 7553 -5944 -1706 96 1 -5453363 4291651 1231734 -69294 -729 1 | -| 122 | StirlingSetB:Inv:Rev | RevInv | missing | 1 1 -1 1 4 -5 1 -17 -59 75 1 96 -1706 -5944 7553 1 -729 -69294 1231734 4291651 -5453363 1 7060 | -| 123 | StirlingSetB:Inv:Rev | InvRev | A154602 | 1 1 1 3 4 1 11 19 9 1 49 104 70 16 1 257 641 550 190 25 1 1539 4380 4531 2080 425 36 1 10299 32803 | -| 124 | StirlingSetB:Inv:Rev | Acc | missing | 1 1 0 1 -3 -2 1 -8 9 8 1 -15 59 -37 -36 1 -24 186 -504 225 224 1 -35 440 -2400 5179 -1881 -1880 1 | -| 125 | StirlingSetB:Inv:Rev | AccRev | missing | 1 -1 0 1 -3 -2 -1 16 7 8 1 -95 -21 -37 -36 -1 728 38 248 223 224 1 -7059 520 -2320 -1845 -1881 | -| 126 | StirlingSetB:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -4 1 -9 1 1 -16 17 1 -25 74 -1 1 -36 210 -96 1 -49 475 -690 1 1 -64 931 -2840 729 1 -81 | -| 127 | StirlingSetB:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -8 3 1 -18 51 -4 1 -32 222 -384 5 1 -50 630 -2760 3645 -6 1 -72 1425 -11360 37895 -42360 7 | -| 128 | StirlingSetB:Inv:Rev | RowSum | A055142 | 1 0 -2 8 -36 224 -1880 19872 -251888 3712256 -62286624 1171487360 -24402416192 557542291968 | -| 129 | StirlingSetB:Inv:Rev | EvenSum | missing | 1 1 2 18 76 940 8056 125944 1604240 31143312 523457056 12201208096 254368729792 6930818385088 | -| 130 | StirlingSetB:Inv:Rev | OddSum | missing | 0 -1 -4 -10 -112 -716 -9936 -106072 -1856128 -27431056 -585743680 -11029720736 -278771145984 | -| 131 | StirlingSetB:Inv:Rev | AltSum | A084262 | 1 2 6 28 188 1656 17992 232016 3460368 58574368 1109200736 23230928832 533139875776 13304094478208 | -| 132 | StirlingSetB:Inv:Rev | DiagSum | missing | 1 1 0 -3 -7 2 49 79 -262 -1243 435 15368 23397 -169947 -674408 1462009 14436085 853010 -279329147 | -| 133 | StirlingSetB:Inv:Rev | AccSum | missing | 1 1 -4 10 -28 108 -576 3736 -24368 78224 2742848 -118708064 3722722112 -110898753344 3344119104000 | -| 134 | StirlingSetB:Inv:Rev | AccRevSum | missing | 1 -1 -4 30 -188 1460 -14464 175112 -2494512 40756592 -750182336 15348043744 -345356548800 | -| 135 | StirlingSetB:Inv:Rev | RowLcm | missing | 1 1 4 153 3552 5868450 6496374713400 2674413767201758365 8381602311980946048 | -| 136 | StirlingSetB:Inv:Rev | RowGcd | B297382 | 1 1 4 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 137 | StirlingSetB:Inv:Rev | RowMax | missing | 1 1 4 17 96 729 7579 97307 1436532 24010788 448512021 9263024749 209633261694 5159752220246 | -| 138 | StirlingSetB:Inv:Rev | ColMiddle | missing | 1 1 -4 -9 74 210 -2840 -8715 166054 528150 -13006392 -42224490 1275590756 4196756564 -150231628976 | -| 139 | StirlingSetB:Inv:Rev | CentralE | missing | 1 -4 74 -2840 166054 -13006392 1275590756 -150231628976 20649462986438 -3244340330395736 | -| 140 | StirlingSetB:Inv:Rev | CentralO | missing | 1 -9 210 -8715 528150 -42224490 4196756564 -498945642195 69063422294438 -10910079074278670 | -| 141 | StirlingSetB:Inv:Rev | BinConv | missing | 1 0 -6 24 -2 -1280 21436 -278768 2992326 -17511744 -391589412 22121578512 -738807000788 | -| 142 | StirlingSetB:Inv:Rev | InvBinConv | missing | 1 -2 10 -80 894 -12772 220188 -4418864 100793542 -2568997340 72233184316 -2218158930176 | -| 143 | StirlingSetB:Inv:Rev | TransNat0 | missing | 0 -1 -2 22 -152 1236 -12584 155240 -2242624 37044336 -687895712 14176556384 -320954132608 | -| 144 | StirlingSetB:Inv:Rev | TransNat1 | missing | 1 -1 -4 30 -188 1460 -14464 175112 -2494512 40756592 -750182336 15348043744 -345356548800 | -| 145 | StirlingSetB:Inv:Rev | TransSqrs | missing | 0 -1 0 50 -568 6244 -78896 1153368 -19187904 357876720 -7395011456 167681806368 -4139359245440 | -| 146 | StirlingSetB:Inv:Rev | PosHalf | A060747 | 1 1 -3 5 -7 9 -11 13 -15 17 -19 21 -23 25 -27 29 -31 33 -35 37 -39 41 -43 45 -47 49 -51 53 -55 57 | -| 147 | StirlingSetB:Inv:Rev | NegHalf | A010844 | 1 -3 13 -79 633 -6331 75973 -1063623 17017969 -306323443 6126468861 -134782314943 3234775558633 | -| 148 | StirlingSetB:Inv:Rev | DiagRow1 | B353546 | 1 -4 17 -96 729 -7060 83033 -1146656 18164625 -324488068 6450956929 -141233271872 3376008830505 | -| 149 | StirlingSetB:Inv:Rev | DiagRow2 | missing | 1 -9 74 -690 7579 -97307 1436532 -24010788 448512021 -9263024749 209633261694 -5159752220246 | -| 150 | StirlingSetB:Inv:Rev | DiagRow3 | missing | 1 -16 210 -2840 41979 -687232 12447812 -248149040 5410685621 -128249515152 3286014685590 | -| 151 | StirlingSetB:Inv:Rev | DiagCol1 | A162395 | -1 -4 -9 -16 -25 -36 -49 -64 -81 -100 -121 -144 -169 -196 -225 -256 -289 -324 -361 -400 -441 -484 | -| 152 | StirlingSetB:Inv:Rev | DiagCol2 | missing | 1 17 74 210 475 931 1652 2724 4245 6325 9086 12662 17199 22855 29800 38216 48297 60249 74290 90650 | -| 153 | StirlingSetB:Inv:Rev | DiagCol3 | missing | -1 -96 -690 -2840 -8715 -22176 -49476 -100080 -187605 -330880 -555126 -893256 -1387295 -2089920 | -| 154 | StirlingSetB:Inv:Rev | Poly | missing | 1 1 1 1 0 1 1 -2 -1 1 1 8 -3 -2 1 1 -36 43 -2 -3 1 1 224 -487 100 1 -4 1 1 -1880 6903 -1892 173 6 | -| 155 | StirlingSetB:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 156 | StirlingSetB:Inv:Rev | PolyRow2 | B123968 | 1 -2 -3 -2 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 673 | -| 157 | StirlingSetB:Inv:Rev | PolyRow3 | missing | 1 8 43 100 173 256 343 428 505 568 611 628 613 560 463 316 113 -152 -485 -892 -1379 -1952 -2617 | -| 158 | StirlingSetB:Inv:Rev | PolyCol2 | missing | 1 -1 -3 43 -487 6903 -125483 2805731 -74339151 2273625199 -78771713491 3047750237211 | -| 159 | StirlingSetB:Inv:Rev | PolyCol3 | missing | 1 -2 -2 100 -1892 41992 -1173464 40056496 -1614629360 74963332576 -3936376667936 230561953548352 | -| 160 | StirlingSetB:Inv:Rev | PolyDiag | missing | 1 0 -3 100 -4767 371376 -45626075 8230334736 -2049967211775 673503972300928 -282046130324276499 | \ No newline at end of file +| 40 | StirlingSetB:Alt | Triangle | A154602 | 1 1 -1 3 -4 1 11 -19 9 -1 49 -104 70 -16 1 257 -641 550 -190 25 -1 1539 -4380 4531 -2080 425 -36 1 | +| 41 | StirlingSetB:Alt | Rev | missing | 1 -1 1 1 -4 3 -1 9 -19 11 1 -16 70 -104 49 -1 25 -190 550 -641 257 1 -36 425 -2080 4531 -4380 1539 | +| 42 | StirlingSetB:Alt | Inv | missing | 1 -1 1 -7 4 1 33 -17 -9 1 865 -448 -214 16 1 -12403 6411 3090 -210 -25 1 -719695 372092 178939 | +| 43 | StirlingSetB:Alt | RevInv | missing | 1 1 -1 1 4 -7 1 -9 -17 33 1 16 -214 -448 865 1 -25 -210 3090 6411 -12403 1 36 -1325 -12280 178939 | +| 44 | StirlingSetB:Alt | Acc | missing | 1 1 0 3 -1 0 11 -8 1 0 49 -55 15 -1 0 257 -384 166 -24 1 0 1539 -2841 1690 -390 35 -1 0 10299 | +| 45 | StirlingSetB:Alt | AccRev | missing | 1 -1 0 1 -3 0 -1 8 -11 0 1 -15 55 -49 0 -1 24 -166 384 -257 0 1 -35 390 -1690 2841 -1539 0 -1 48 | +| 46 | StirlingSetB:Alt | AntiDiag | missing | 1 1 3 -1 11 -4 49 -19 1 257 -104 9 1539 -641 70 -1 10299 -4380 550 -16 75905 -32803 4531 -190 1 | +| 47 | StirlingSetB:Alt | Diffx1 | missing | 1 1 -2 3 -8 3 11 -38 27 -4 49 -208 210 -64 5 257 -1282 1650 -760 125 -6 1539 -8760 13593 -8320 2125 | +| 48 | StirlingSetB:Alt | EvenSum | missing | 1 1 4 20 120 832 6496 56128 529920 5413632 59379200 694855680 8629446656 113231613952 1563847245824 | +| 49 | StirlingSetB:Alt | OddSum | missing | 0 -1 -4 -20 -120 -832 -6496 -56128 -529920 -5413632 -59379200 -694855680 -8629446656 -113231613952 | +| 50 | StirlingSetB:Alt | AltSum | A055882 | 1 2 8 40 240 1664 12992 112256 1059840 10827264 118758400 1389711360 17258893312 226463227904 | +| 51 | StirlingSetB:Alt | DiagSum | missing | 1 1 2 7 31 162 967 6453 47444 380133 3290203 30544664 302346285 3175224045 35229483810 411445931955 | +| 52 | StirlingSetB:Alt | AccSum | A011782 | 1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 53 | StirlingSetB:Alt | AccRevSum | A011782 | 1 -1 -2 -4 -8 -16 -32 -64 -128 -256 -512 -1024 -2048 -4096 -8192 -16384 -32768 -65536 -131072 | +| 54 | StirlingSetB:Alt | RowLcm | missing | 1 1 12 1881 50960 1721501650 89999024637600 2559252346698100095 2696411135497225545898058560 | +| 55 | StirlingSetB:Alt | RowMax | missing | 1 1 4 19 104 641 4531 39515 365324 3575820 36971461 402741581 4991365808 65268062938 885442472096 | +| 56 | StirlingSetB:Alt | ColMiddle | missing | 1 1 -4 -19 70 550 -2080 -22491 87206 1192086 -4719624 -77684398 312957436 6009565276 -24567605920 | +| 57 | StirlingSetB:Alt | CentralE | missing | 1 -4 70 -2080 87206 -4719624 312957436 -24567605920 2228251766598 -229294798634616 | +| 58 | StirlingSetB:Alt | CentralO | missing | 1 -19 550 -22491 1192086 -77684398 6009565276 -538271502483 54792517079014 -6247940153497978 | +| 59 | StirlingSetB:Alt | ColLeft | A004211 | 1 1 3 11 49 257 1539 10299 75905 609441 5284451 49134923 487026929 5120905441 56878092067 | +| 60 | StirlingSetB:Alt | BinConv | missing | 1 0 -4 -20 -10 776 7784 25432 -416634 -8540368 -72453016 140179304 15367107260 263768178480 | +| 61 | StirlingSetB:Alt | InvBinConv | missing | 1 -2 12 -96 950 -10988 143976 -2094032 33318534 -573707692 10600961800 -208798553824 4359572223292 | +| 62 | StirlingSetB:Alt | TransNat0 | A131577 | 0 -1 -2 -4 -8 -16 -32 -64 -128 -256 -512 -1024 -2048 -4096 -8192 -16384 -32768 -65536 -131072 | +| 63 | StirlingSetB:Alt | TransNat1 | A011782 | 1 -1 -2 -4 -8 -16 -32 -64 -128 -256 -512 -1024 -2048 -4096 -8192 -16384 -32768 -65536 -131072 | +| 64 | StirlingSetB:Alt | TransSqrs | B211012 | 0 -1 0 8 48 224 960 3968 16128 65024 261120 1046528 4190208 16769024 67092480 268402688 1073676288 | +| 65 | StirlingSetB:Alt | PosHalf | A004213 | 1 1 5 29 201 1657 15821 170389 2032785 26546673 376085653 5736591885 93614616409 1625661357673 | +| 66 | StirlingSetB:Alt | NegHalf | missing | 1 -3 21 -183 1929 -23691 329565 -5095551 86394513 -1589803923 31491693093 -667027338951 | +| 67 | StirlingSetB:Alt | DiagRow1 | A162395 | 1 -4 9 -16 25 -36 49 -64 81 -100 121 -144 169 -196 225 -256 289 -324 361 -400 441 -484 529 -576 625 | +| 68 | StirlingSetB:Alt | DiagRow2 | missing | 3 -19 70 -190 425 -833 1484 -2460 3855 -5775 8338 -11674 15925 -21245 27800 -35768 45339 -56715 | +| 69 | StirlingSetB:Alt | DiagRow3 | missing | 11 -104 550 -2080 6265 -16016 36204 -74400 141735 -253880 432146 -704704 1107925 -1687840 2501720 | +| 70 | StirlingSetB:Alt | DiagCol1 | missing | -1 -4 -19 -104 -641 -4380 -32803 -266768 -2337505 -21925236 -218946003 -2316939256 -25878593313 | +| 71 | StirlingSetB:Alt | DiagCol2 | missing | 1 9 70 550 4531 39515 365324 3575820 36971461 402741581 4610187154 55316069874 694067320311 | +| 72 | StirlingSetB:Alt | DiagCol3 | missing | -1 -16 -190 -2080 -22491 -247072 -2792476 -32659840 -396255541 -4991365808 -65268062938 | +| 73 | StirlingSetB:Alt | Poly | missing | 1 1 1 3 0 1 11 0 -1 1 49 0 -1 -2 1 257 0 1 0 -3 1 1539 0 9 8 3 -4 1 10299 0 23 16 15 8 -5 1 75905 0 | +| 74 | StirlingSetB:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 75 | StirlingSetB:Alt | PolyRow2 | A067998 | 3 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 | +| 76 | StirlingSetB:Alt | PolyRow3 | missing | 11 0 1 8 15 16 5 -24 -77 -160 -279 -440 -649 -912 -1235 -1624 -2085 -2624 -3247 -3960 -4769 -5680 | +| 77 | StirlingSetB:Alt | PolyCol2 | A009235 | 1 -1 -1 1 9 23 -25 -583 -3087 -4401 79087 902097 4783801 -2361049 -348382697 -4102879415 | +| 78 | StirlingSetB:Alt | PolyCol3 | A308536 | 1 -2 0 8 16 -64 -576 -1152 12800 136704 422912 -4464640 -72626176 -413966336 1805123584 64448004096 | +| 79 | StirlingSetB:Alt | PolyDiag | missing | 1 0 -1 8 -15 -448 6615 -14208 -1213695 24336384 -25561809 -10091888640 241410805361 407872978944 | +| 80 | StirlingSetB:Rev | Triangle | missing | 1 1 1 1 4 3 1 9 19 11 1 16 70 104 49 1 25 190 550 641 257 1 36 425 2080 4531 4380 1539 1 49 833 | +| 81 | StirlingSetB:Rev | InvRev | missing | 1 -1 1 1 -4 1 -1 17 -9 1 1 -96 74 -16 1 -1 729 -690 210 -25 1 1 -7060 7579 -2840 475 -36 1 -1 83033 | +| 82 | StirlingSetB:Rev | Acc | missing | 1 1 2 1 5 8 1 10 29 40 1 17 87 191 240 1 26 216 766 1407 1664 1 37 462 2542 7073 11453 12992 1 50 | +| 83 | StirlingSetB:Rev | AccRev | missing | 1 1 2 3 7 8 11 30 39 40 49 153 223 239 240 257 898 1448 1638 1663 1664 1539 5919 10450 12530 12955 | +| 84 | StirlingSetB:Rev | AntiDiag | missing | 1 1 1 1 1 4 1 9 3 1 16 19 1 25 70 11 1 36 190 104 1 49 425 550 49 1 64 833 2080 641 1 81 1484 6265 | +| 85 | StirlingSetB:Rev | Diffx1 | missing | 1 1 2 1 8 9 1 18 57 44 1 32 210 416 245 1 50 570 2200 3205 1542 1 72 1275 8320 22655 26280 10773 1 | +| 86 | StirlingSetB:Rev | RowSum | A055882 | 1 2 8 40 240 1664 12992 112256 1059840 10827264 118758400 1389711360 17258893312 226463227904 | +| 87 | StirlingSetB:Rev | EvenSum | missing | 1 1 4 20 120 832 6496 56128 529920 5413632 59379200 694855680 8629446656 113231613952 1563847245824 | +| 88 | StirlingSetB:Rev | OddSum | missing | 0 1 4 20 120 832 6496 56128 529920 5413632 59379200 694855680 8629446656 113231613952 1563847245824 | +| 89 | StirlingSetB:Rev | DiagSum | missing | 1 1 2 5 13 36 107 331 1074 3619 12619 45448 168441 641385 2504234 10008581 40893469 170585916 | +| 90 | StirlingSetB:Rev | AccSum | missing | 1 3 14 80 536 4080 34560 321088 3236736 35103232 406807040 5009579008 65245253632 895155236864 | +| 91 | StirlingSetB:Rev | AccRevSum | missing | 1 3 18 120 904 7568 69376 689216 7361664 83996672 1018293760 13056668672 176379252736 2501793181696 | +| 92 | StirlingSetB:Rev | RowLcm | missing | 1 1 12 1881 50960 1721501650 89999024637600 2559252346698100095 2696411135497225545898058560 | +| 93 | StirlingSetB:Rev | RowMax | missing | 1 1 4 19 104 641 4531 39515 365324 3575820 36971461 402741581 4991365808 65268062938 885442472096 | +| 94 | StirlingSetB:Rev | ColMiddle | missing | 1 1 4 9 70 190 2080 6265 87206 281190 4719624 15982890 312957436 1100247148 24567605920 88980093345 | +| 95 | StirlingSetB:Rev | CentralE | missing | 1 4 70 2080 87206 4719624 312957436 24567605920 2228251766598 229294798634616 26395503979168116 | +| 96 | StirlingSetB:Rev | CentralO | missing | 1 9 190 6265 281190 15982890 1100247148 88980093345 8269472552198 868501427798862 | +| 97 | StirlingSetB:Rev | ColRight | A004211 | 1 1 3 11 49 257 1539 10299 75905 609441 5284451 49134923 487026929 5120905441 56878092067 | +| 98 | StirlingSetB:Rev | BinConv | missing | 1 2 12 96 950 10988 143976 2094032 33318534 573707692 10600961800 208798553824 4359572223292 | +| 99 | StirlingSetB:Rev | InvBinConv | missing | 1 0 -4 -20 -10 776 7784 25432 -416634 -8540368 -72453016 140179304 15367107260 263768178480 | +| 100 | StirlingSetB:Rev | TransNat0 | missing | 0 1 10 80 664 5904 56384 576960 6301824 73169408 899535360 11666957312 159120359424 2275329953792 | +| 101 | StirlingSetB:Rev | TransNat1 | missing | 1 3 18 120 904 7568 69376 689216 7361664 83996672 1018293760 13056668672 176379252736 2501793181696 | +| 102 | StirlingSetB:Rev | TransSqrs | missing | 0 1 16 184 2016 22416 257856 3093056 38803456 509346304 6990144512 100167148544 1496466268160 | +| 103 | StirlingSetB:Rev | PosHalf | missing | 1 3 15 93 681 5691 53079 544053 6058545 72652179 931542207 12697268205 183092096409 2781622021899 | +| 104 | StirlingSetB:Rev | NegHalf | A009235 | 1 -1 -1 1 9 23 -25 -583 -3087 -4401 79087 902097 4783801 -2361049 -348382697 -4102879415 | +| 105 | StirlingSetB:Rev | DiagRow1 | missing | 1 4 19 104 641 4380 32803 266768 2337505 21925236 218946003 2316939256 25878593313 304020964876 | +| 106 | StirlingSetB:Rev | DiagRow2 | missing | 1 9 70 550 4531 39515 365324 3575820 36971461 402741581 4610187154 55316069874 694067320311 | +| 107 | StirlingSetB:Rev | DiagRow3 | missing | 1 16 190 2080 22491 247072 2792476 32659840 396255541 4991365808 65268062938 885442472096 | +| 108 | StirlingSetB:Rev | DiagCol1 | A162395 | 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 | +| 109 | StirlingSetB:Rev | DiagCol2 | missing | 3 19 70 190 425 833 1484 2460 3855 5775 8338 11674 15925 21245 27800 35768 45339 56715 70110 85750 | +| 110 | StirlingSetB:Rev | DiagCol3 | missing | 11 104 550 2080 6265 16016 36204 74400 141735 253880 432146 704704 1107925 1687840 2501720 3619776 | +| 111 | StirlingSetB:Rev | Poly | missing | 1 1 1 1 2 1 1 8 3 1 1 40 21 4 1 1 240 183 40 5 1 1 1664 1929 496 65 6 1 1 12992 23691 7456 1045 96 | +| 112 | StirlingSetB:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 113 | StirlingSetB:Rev | PolyRow2 | B000567 | 1 8 21 40 65 96 133 176 225 280 341 408 481 560 645 736 833 936 1045 1160 1281 1408 1541 1680 1825 | +| 114 | StirlingSetB:Rev | PolyRow3 | missing | 1 40 183 496 1045 1896 3115 4768 6921 9640 12991 17040 21853 27496 34035 41536 50065 59688 70471 | +| 115 | StirlingSetB:Rev | PolyCol2 | missing | 1 3 21 183 1929 23691 329565 5095551 86394513 1589803923 31491693093 667027338951 15023947341081 | +| 116 | StirlingSetB:Rev | PolyCol3 | missing | 1 4 40 496 7456 131008 2613376 58038016 1415303680 37501484032 1070712260608 32716451246080 | +| 117 | StirlingSetB:Rev | PolyDiag | missing | 1 2 21 496 20385 1277376 112199437 13061229056 1937156666625 355391191221760 78810303550006501 | +| 118 | StirlingSetB:Inv | Triangle | missing | 1 -1 1 1 -4 1 -1 17 -9 1 1 -96 74 -16 1 -1 729 -690 210 -25 1 1 -7060 7579 -2840 475 -36 1 -1 83033 | +| 119 | StirlingSetB:Inv | Rev | missing | 1 1 -1 1 -4 1 1 -9 17 -1 1 -16 74 -96 1 1 -25 210 -690 729 -1 1 -36 475 -2840 7579 -7060 1 1 -49 | +| 120 | StirlingSetB:Inv | RevInv | missing | 1 1 1 1 4 3 1 9 19 11 1 16 70 104 49 1 25 190 550 641 257 1 36 425 2080 4531 4380 1539 1 49 833 | +| 121 | StirlingSetB:Inv | InvRev | missing | 1 -1 1 -5 4 1 75 -59 -17 1 7553 -5944 -1706 96 1 -5453363 4291651 1231734 -69294 -729 1 | +| 122 | StirlingSetB:Inv | Acc | missing | 1 -1 0 1 -3 -2 -1 16 7 8 1 -95 -21 -37 -36 -1 728 38 248 223 224 1 -7059 520 -2320 -1845 -1881 | +| 123 | StirlingSetB:Inv | AccRev | missing | 1 1 0 1 -3 -2 1 -8 9 8 1 -15 59 -37 -36 1 -24 186 -504 225 224 1 -35 440 -2400 5179 -1881 -1880 1 | +| 124 | StirlingSetB:Inv | AntiDiag | missing | 1 -1 1 1 -1 -4 1 17 1 -1 -96 -9 1 729 74 1 -1 -7060 -690 -16 1 83033 7579 210 1 -1 -1146656 -97307 | +| 125 | StirlingSetB:Inv | Diffx1 | missing | 1 -1 2 1 -8 3 -1 34 -27 4 1 -192 222 -64 5 -1 1458 -2070 840 -125 6 1 -14120 22737 -11360 2375 -216 | +| 126 | StirlingSetB:Inv | RowSum | A055142 | 1 0 -2 8 -36 224 -1880 19872 -251888 3712256 -62286624 1171487360 -24402416192 557542291968 | +| 127 | StirlingSetB:Inv | EvenSum | missing | 1 -1 2 -10 76 -716 8056 -106072 1604240 -27431056 523457056 -11029720736 254368729792 | +| 128 | StirlingSetB:Inv | OddSum | missing | 0 1 -4 18 -112 940 -9936 125944 -1856128 31143312 -585743680 12201208096 -278771145984 | +| 129 | StirlingSetB:Inv | AltSum | A084262 | 1 -2 6 -28 188 -1656 17992 -232016 3460368 -58574368 1109200736 -23230928832 533139875776 | +| 130 | StirlingSetB:Inv | DiagSum | missing | 1 -1 2 -5 19 -106 805 -7767 90824 -1246829 19643613 -349194840 6912083749 -150747838597 | +| 131 | StirlingSetB:Inv | AccSum | missing | 1 -1 -4 30 -188 1460 -14464 175112 -2494512 40756592 -750182336 15348043744 -345356548800 | +| 132 | StirlingSetB:Inv | AccRevSum | missing | 1 1 -4 10 -28 108 -576 3736 -24368 78224 2742848 -118708064 3722722112 -110898753344 3344119104000 | +| 133 | StirlingSetB:Inv | RowLcm | missing | 1 1 4 153 3552 5868450 6496374713400 2674413767201758365 8381602311980946048 | +| 134 | StirlingSetB:Inv | RowGcd | B297382 | 1 1 4 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 135 | StirlingSetB:Inv | RowMax | missing | 1 1 4 17 96 729 7579 97307 1436532 24010788 448512021 9263024749 209633261694 5159752220246 | +| 136 | StirlingSetB:Inv | ColMiddle | missing | 1 -1 -4 17 74 -690 -2840 41979 166054 -3370710 -13006392 336073562 1275590756 -40044216212 | +| 137 | StirlingSetB:Inv | CentralE | missing | 1 -4 74 -2840 166054 -13006392 1275590756 -150231628976 20649462986438 -3244340330395736 | +| 138 | StirlingSetB:Inv | CentralO | missing | -1 17 -690 41979 -3370710 336073562 -40044216212 5551818806963 -878088454231846 156041241001898174 | +| 139 | StirlingSetB:Inv | BinConv | missing | 1 0 -6 24 -2 -1280 21436 -278768 2992326 -17511744 -391589412 22121578512 -738807000788 | +| 140 | StirlingSetB:Inv | InvBinConv | missing | 1 2 10 80 894 12772 220188 4418864 100793542 2568997340 72233184316 2218158930176 73792960032300 | +| 141 | StirlingSetB:Inv | TransNat0 | missing | 0 1 -2 2 8 -116 1304 -16136 227520 -3634032 65029472 -1290195424 28125138304 -668441045312 | +| 142 | StirlingSetB:Inv | TransNat1 | missing | 1 1 -4 10 -28 108 -576 3736 -24368 78224 2742848 -118708064 3722722112 -110898753344 3344119104000 | +| 143 | StirlingSetB:Inv | TransSqrs | missing | 0 1 0 -10 72 -516 4432 -46264 573248 -8228592 134240384 -2452463520 49592005504 -1099501147200 | +| 144 | StirlingSetB:Inv | PosHalf | missing | 1 -1 -3 43 -487 6903 -125483 2805731 -74339151 2273625199 -78771713491 3047750237211 | +| 145 | StirlingSetB:Inv | NegHalf | missing | 1 3 13 95 1113 18107 371941 9173271 263542705 8636905331 317864233149 12977209598927 | +| 146 | StirlingSetB:Inv | DiagRow1 | A162395 | -1 -4 -9 -16 -25 -36 -49 -64 -81 -100 -121 -144 -169 -196 -225 -256 -289 -324 -361 -400 -441 -484 | +| 147 | StirlingSetB:Inv | DiagRow2 | missing | 1 17 74 210 475 931 1652 2724 4245 6325 9086 12662 17199 22855 29800 38216 48297 60249 74290 90650 | +| 148 | StirlingSetB:Inv | DiagRow3 | missing | -1 -96 -690 -2840 -8715 -22176 -49476 -100080 -187605 -330880 -555126 -893256 -1387295 -2089920 | +| 149 | StirlingSetB:Inv | DiagCol1 | B353546 | 1 -4 17 -96 729 -7060 83033 -1146656 18164625 -324488068 6450956929 -141233271872 3376008830505 | +| 150 | StirlingSetB:Inv | DiagCol2 | missing | 1 -9 74 -690 7579 -97307 1436532 -24010788 448512021 -9263024749 209633261694 -5159752220246 | +| 151 | StirlingSetB:Inv | DiagCol3 | missing | 1 -16 210 -2840 41979 -687232 12447812 -248149040 5410685621 -128249515152 3286014685590 | +| 152 | StirlingSetB:Inv | Poly | missing | 1 -1 1 1 0 1 -1 -2 1 1 1 8 -3 2 1 -1 -36 5 -2 3 1 1 224 -7 -4 1 4 1 -1 -1880 9 28 -13 6 5 1 1 19872 | +| 153 | StirlingSetB:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 154 | StirlingSetB:Inv | PolyRow2 | B123968 | 1 -2 -3 -2 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 673 | +| 155 | StirlingSetB:Inv | PolyRow3 | missing | -1 8 5 -4 -13 -16 -7 20 71 152 269 428 635 896 1217 1604 2063 2600 3221 3932 4739 5648 6665 7796 | +| 156 | StirlingSetB:Inv | PolyCol2 | A060747 | 1 1 -3 5 -7 9 -11 13 -15 17 -19 21 -23 25 -27 29 -31 33 -35 37 -39 41 -43 45 -47 49 -51 53 -55 57 | +| 157 | StirlingSetB:Inv | PolyCol3 | missing | 1 2 -2 -4 28 -136 808 -6448 66064 -821728 11958496 -198818368 3713280448 -76920529024 1749547404928 | +| 158 | StirlingSetB:Inv | PolyDiag | missing | 1 0 -3 -4 33 144 -635 -6672 17409 432512 -618579 -40015680 26978017 5267018496 -1393988427 | +| 159 | StirlingSetB:Inv:Rev | Triangle | missing | 1 1 -1 1 -4 1 1 -9 17 -1 1 -16 74 -96 1 1 -25 210 -690 729 -1 1 -36 475 -2840 7579 -7060 1 1 -49 | +| 160 | StirlingSetB:Inv:Rev | Rev | missing | 1 -1 1 1 -4 1 -1 17 -9 1 1 -96 74 -16 1 -1 729 -690 210 -25 1 1 -7060 7579 -2840 475 -36 1 -1 83033 | +| 161 | StirlingSetB:Inv:Rev | Inv | missing | 1 -1 1 -5 4 1 75 -59 -17 1 7553 -5944 -1706 96 1 -5453363 4291651 1231734 -69294 -729 1 | +| 162 | StirlingSetB:Inv:Rev | RevInv | missing | 1 1 -1 1 4 -5 1 -17 -59 75 1 96 -1706 -5944 7553 1 -729 -69294 1231734 4291651 -5453363 1 7060 | +| 163 | StirlingSetB:Inv:Rev | InvRev | A154602 | 1 1 1 3 4 1 11 19 9 1 49 104 70 16 1 257 641 550 190 25 1 1539 4380 4531 2080 425 36 1 10299 32803 | +| 164 | StirlingSetB:Inv:Rev | Acc | missing | 1 1 0 1 -3 -2 1 -8 9 8 1 -15 59 -37 -36 1 -24 186 -504 225 224 1 -35 440 -2400 5179 -1881 -1880 1 | +| 165 | StirlingSetB:Inv:Rev | AccRev | missing | 1 -1 0 1 -3 -2 -1 16 7 8 1 -95 -21 -37 -36 -1 728 38 248 223 224 1 -7059 520 -2320 -1845 -1881 | +| 166 | StirlingSetB:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -4 1 -9 1 1 -16 17 1 -25 74 -1 1 -36 210 -96 1 -49 475 -690 1 1 -64 931 -2840 729 1 -81 | +| 167 | StirlingSetB:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -8 3 1 -18 51 -4 1 -32 222 -384 5 1 -50 630 -2760 3645 -6 1 -72 1425 -11360 37895 -42360 7 | +| 168 | StirlingSetB:Inv:Rev | RowSum | A055142 | 1 0 -2 8 -36 224 -1880 19872 -251888 3712256 -62286624 1171487360 -24402416192 557542291968 | +| 169 | StirlingSetB:Inv:Rev | EvenSum | missing | 1 1 2 18 76 940 8056 125944 1604240 31143312 523457056 12201208096 254368729792 6930818385088 | +| 170 | StirlingSetB:Inv:Rev | OddSum | missing | 0 -1 -4 -10 -112 -716 -9936 -106072 -1856128 -27431056 -585743680 -11029720736 -278771145984 | +| 171 | StirlingSetB:Inv:Rev | AltSum | A084262 | 1 2 6 28 188 1656 17992 232016 3460368 58574368 1109200736 23230928832 533139875776 13304094478208 | +| 172 | StirlingSetB:Inv:Rev | DiagSum | missing | 1 1 0 -3 -7 2 49 79 -262 -1243 435 15368 23397 -169947 -674408 1462009 14436085 853010 -279329147 | +| 173 | StirlingSetB:Inv:Rev | AccSum | missing | 1 1 -4 10 -28 108 -576 3736 -24368 78224 2742848 -118708064 3722722112 -110898753344 3344119104000 | +| 174 | StirlingSetB:Inv:Rev | AccRevSum | missing | 1 -1 -4 30 -188 1460 -14464 175112 -2494512 40756592 -750182336 15348043744 -345356548800 | +| 175 | StirlingSetB:Inv:Rev | RowLcm | missing | 1 1 4 153 3552 5868450 6496374713400 2674413767201758365 8381602311980946048 | +| 176 | StirlingSetB:Inv:Rev | RowGcd | B297382 | 1 1 4 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 177 | StirlingSetB:Inv:Rev | RowMax | missing | 1 1 4 17 96 729 7579 97307 1436532 24010788 448512021 9263024749 209633261694 5159752220246 | +| 178 | StirlingSetB:Inv:Rev | ColMiddle | missing | 1 1 -4 -9 74 210 -2840 -8715 166054 528150 -13006392 -42224490 1275590756 4196756564 -150231628976 | +| 179 | StirlingSetB:Inv:Rev | CentralE | missing | 1 -4 74 -2840 166054 -13006392 1275590756 -150231628976 20649462986438 -3244340330395736 | +| 180 | StirlingSetB:Inv:Rev | CentralO | missing | 1 -9 210 -8715 528150 -42224490 4196756564 -498945642195 69063422294438 -10910079074278670 | +| 181 | StirlingSetB:Inv:Rev | BinConv | missing | 1 0 -6 24 -2 -1280 21436 -278768 2992326 -17511744 -391589412 22121578512 -738807000788 | +| 182 | StirlingSetB:Inv:Rev | InvBinConv | missing | 1 -2 10 -80 894 -12772 220188 -4418864 100793542 -2568997340 72233184316 -2218158930176 | +| 183 | StirlingSetB:Inv:Rev | TransNat0 | missing | 0 -1 -2 22 -152 1236 -12584 155240 -2242624 37044336 -687895712 14176556384 -320954132608 | +| 184 | StirlingSetB:Inv:Rev | TransNat1 | missing | 1 -1 -4 30 -188 1460 -14464 175112 -2494512 40756592 -750182336 15348043744 -345356548800 | +| 185 | StirlingSetB:Inv:Rev | TransSqrs | missing | 0 -1 0 50 -568 6244 -78896 1153368 -19187904 357876720 -7395011456 167681806368 -4139359245440 | +| 186 | StirlingSetB:Inv:Rev | PosHalf | A060747 | 1 1 -3 5 -7 9 -11 13 -15 17 -19 21 -23 25 -27 29 -31 33 -35 37 -39 41 -43 45 -47 49 -51 53 -55 57 | +| 187 | StirlingSetB:Inv:Rev | NegHalf | A010844 | 1 -3 13 -79 633 -6331 75973 -1063623 17017969 -306323443 6126468861 -134782314943 3234775558633 | +| 188 | StirlingSetB:Inv:Rev | DiagRow1 | B353546 | 1 -4 17 -96 729 -7060 83033 -1146656 18164625 -324488068 6450956929 -141233271872 3376008830505 | +| 189 | StirlingSetB:Inv:Rev | DiagRow2 | missing | 1 -9 74 -690 7579 -97307 1436532 -24010788 448512021 -9263024749 209633261694 -5159752220246 | +| 190 | StirlingSetB:Inv:Rev | DiagRow3 | missing | 1 -16 210 -2840 41979 -687232 12447812 -248149040 5410685621 -128249515152 3286014685590 | +| 191 | StirlingSetB:Inv:Rev | DiagCol1 | A162395 | -1 -4 -9 -16 -25 -36 -49 -64 -81 -100 -121 -144 -169 -196 -225 -256 -289 -324 -361 -400 -441 -484 | +| 192 | StirlingSetB:Inv:Rev | DiagCol2 | missing | 1 17 74 210 475 931 1652 2724 4245 6325 9086 12662 17199 22855 29800 38216 48297 60249 74290 90650 | +| 193 | StirlingSetB:Inv:Rev | DiagCol3 | missing | -1 -96 -690 -2840 -8715 -22176 -49476 -100080 -187605 -330880 -555126 -893256 -1387295 -2089920 | +| 194 | StirlingSetB:Inv:Rev | Poly | missing | 1 1 1 1 0 1 1 -2 -1 1 1 8 -3 -2 1 1 -36 43 -2 -3 1 1 224 -487 100 1 -4 1 1 -1880 6903 -1892 173 6 | +| 195 | StirlingSetB:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 196 | StirlingSetB:Inv:Rev | PolyRow2 | B123968 | 1 -2 -3 -2 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 673 | +| 197 | StirlingSetB:Inv:Rev | PolyRow3 | missing | 1 8 43 100 173 256 343 428 505 568 611 628 613 560 463 316 113 -152 -485 -892 -1379 -1952 -2617 | +| 198 | StirlingSetB:Inv:Rev | PolyCol2 | missing | 1 -1 -3 43 -487 6903 -125483 2805731 -74339151 2273625199 -78771713491 3047750237211 | +| 199 | StirlingSetB:Inv:Rev | PolyCol3 | missing | 1 -2 -2 100 -1892 41992 -1173464 40056496 -1614629360 74963332576 -3936376667936 230561953548352 | +| 200 | StirlingSetB:Inv:Rev | PolyDiag | missing | 1 0 -3 100 -4767 371376 -45626075 8230334736 -2049967211775 673503972300928 -282046130324276499 | \ No newline at end of file diff --git a/data/md/Sylvester.md b/data/md/Sylvester.md index 2dc4abc..378639b 100644 --- a/data/md/Sylvester.md +++ b/data/md/Sylvester.md @@ -1,81 +1,121 @@ -| | triangle | trait | anum | seq | -|---:|:--------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | Sylvester:Std | Triangle | A341101 | 1 0 2 0 1 4 0 2 6 8 0 6 19 24 16 0 24 80 110 80 32 0 120 418 615 500 240 64 0 720 2604 4046 3570 | -| 1 | Sylvester:Std | Rev | missing | 1 2 0 4 1 0 8 6 2 0 16 24 19 6 0 32 80 110 80 24 0 64 240 500 615 418 120 0 128 672 1960 3570 4046 | -| 2 | Sylvester:Std | Acc | missing | 1 0 2 0 1 5 0 2 8 16 0 6 25 49 65 0 24 104 214 294 326 0 120 538 1153 1653 1893 1957 0 720 3324 | -| 3 | Sylvester:Std | AccRev | missing | 1 2 2 4 5 5 8 14 16 16 16 40 59 65 65 32 112 222 302 326 326 64 304 804 1419 1837 1957 1957 128 800 | -| 4 | Sylvester:Std | AntiDiag | missing | 1 0 0 2 0 1 0 2 4 0 6 6 0 24 19 8 0 120 80 24 0 720 418 110 16 0 5040 2604 615 80 0 40320 18828 | -| 5 | Sylvester:Std | Diffx1 | missing | 1 0 4 0 2 12 0 4 18 32 0 12 57 96 80 0 48 240 440 400 192 0 240 1254 2460 2500 1440 448 0 1440 7812 | -| 6 | Sylvester:Std | RowSum | A000522 | 1 2 5 16 65 326 1957 13700 109601 986410 9864101 108505112 1302061345 16926797486 236975164805 | -| 7 | Sylvester:Std | EvenSum | missing | 1 0 4 6 35 160 982 6846 54805 493200 4932056 54252550 651030679 8463398736 118487582410 | -| 8 | Sylvester:Std | OddSum | missing | 0 2 1 10 30 166 975 6854 54796 493210 4932045 54252562 651030666 8463398750 118487582395 | -| 9 | Sylvester:Std | AltSum | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | -| 10 | Sylvester:Std | DiagSum | missing | 1 0 2 1 6 12 51 224 1264 8339 63726 552238 5351033 57309548 672108878 8564808105 117824815906 | -| 11 | Sylvester:Std | AccSum | missing | 1 2 6 26 145 962 7314 62526 593737 6204370 70795718 876281826 11697961961 167578760338 | -| 12 | Sylvester:Std | AccRevSum | missing | 1 4 14 54 245 1320 8342 60774 502273 4646140 47573494 534284630 6530896869 86323201952 | -| 13 | Sylvester:Std | RowLcm | missing | 1 2 4 24 912 5280 205656000 2528588160 5874643821231360 916835503928037603840 | -| 14 | Sylvester:Std | RowGcd | B000034 | 1 2 4 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 | -| 15 | Sylvester:Std | RowMax | missing | 1 2 4 8 24 110 615 4046 30604 261656 2579380 28167920 334925404 4308766176 59645959464 884178662640 | -| 16 | Sylvester:Std | ColMiddle | missing | 1 0 1 2 19 80 615 4046 28777 259056 1769985 20268050 135131755 1880186880 12330989671 202043487646 | -| 17 | Sylvester:Std | CentralE | missing | 1 1 19 615 28777 1769985 135131755 12330989671 1309509778577 158670146018241 21603959342147715 | -| 18 | Sylvester:Std | CentralO | missing | 0 2 80 4046 259056 20268050 1880186880 202043487646 24699845506336 3386443161237474 | -| 19 | Sylvester:Std | ColRight | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 20 | Sylvester:Std | BinConv | missing | 1 2 6 32 250 2452 28294 372276 5476902 88843388 1572182524 30095481528 618922505656 13596524483960 | -| 21 | Sylvester:Std | InvBinConv | missing | 1 2 2 -4 10 52 -626 3600 -4378 -209092 3583684 -37666352 228658456 1320343832 -74742710402 | -| 22 | Sylvester:Std | TransNat0 | missing | 0 2 9 38 180 994 6385 47074 392672 3659730 37709393 425779518 5228835524 69396404466 989898002665 | -| 23 | Sylvester:Std | TransNat1 | missing | 1 4 14 54 245 1320 8342 60774 502273 4646140 47573494 534284630 6530896869 86323201952 | -| 24 | Sylvester:Std | TransSqrs | missing | 0 2 17 98 554 3414 23631 184134 1604396 15497994 164595605 1907674394 23971232006 324703850366 | -| 25 | Sylvester:Std | PosHalf | A084262 | 1 2 6 28 188 1656 17992 232016 3460368 58574368 1109200736 23230928832 533139875776 13304094478208 | -| 26 | Sylvester:Std | NegHalf | missing | 1 2 2 4 -4 56 -488 5552 -73456 1117216 -19197664 367902272 -7780394048 179998323584 -4522250011264 | -| 27 | Sylvester:Std | DiagRow1 | A001788 | 0 1 6 24 80 240 672 1792 4608 11520 28160 67584 159744 372736 860160 1966080 4456448 10027008 | -| 28 | Sylvester:Std | DiagRow2 | missing | 0 2 19 110 500 1960 6944 22848 71040 211200 605440 1683968 4566016 12113920 31539200 80773120 | -| 29 | Sylvester:Std | DiagRow3 | missing | 0 6 80 615 3570 17360 74592 292320 1066560 3674880 12080640 38182144 116712960 346644480 1004093440 | -| 30 | Sylvester:Std | DiagCol1 | B000142 | 2 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 31 | Sylvester:Std | DiagCol2 | missing | 4 6 19 80 418 2604 18828 154944 1429776 14620320 164089440 2005361280 26508781440 376870959360 | -| 32 | Sylvester:Std | DiagCol3 | missing | 8 24 110 615 4046 30604 261656 2495340 26263512 302411736 3781675872 51039346176 739493351424 | -| 33 | Sylvester:Std | Poly | missing | 1 0 1 0 2 1 0 5 4 1 0 16 18 6 1 0 65 92 39 8 1 0 326 536 276 68 10 1 0 1957 3552 2133 616 105 12 1 | -| 34 | Sylvester:Std | PolyRow1 | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 | -| 35 | Sylvester:Std | PolyRow2 | A007742 | 0 5 18 39 68 105 150 203 264 333 410 495 588 689 798 915 1040 1173 1314 1463 1620 1785 1958 2139 | -| 36 | Sylvester:Std | PolyRow3 | missing | 0 16 92 276 616 1160 1956 3052 4496 6336 8620 11396 14712 18616 23156 28380 34336 41072 48636 57076 | -| 37 | Sylvester:Std | PolyCol2 | A081923 | 1 4 18 92 536 3552 26608 223456 2085504 21450752 241320704 2949474816 38933066752 552141672448 | -| 38 | Sylvester:Std | PolyCol3 | missing | 1 6 39 276 2133 18018 166203 1670112 18221193 215014014 2733237999 37281387564 543586734621 | -| 39 | Sylvester:Std | PolyDiag | A295183 | 1 2 18 276 5960 165870 5648832 227507336 10577029248 557457222330 32843470246400 2139014862736092 | -| 40 | Sylvester:Rev | Triangle | missing | 1 2 0 4 1 0 8 6 2 0 16 24 19 6 0 32 80 110 80 24 0 64 240 500 615 418 120 0 128 672 1960 3570 4046 | -| 41 | Sylvester:Rev | Acc | missing | 1 2 2 4 5 5 8 14 16 16 16 40 59 65 65 32 112 222 302 326 326 64 304 804 1419 1837 1957 1957 128 800 | -| 42 | Sylvester:Rev | AccRev | missing | 1 0 2 0 1 5 0 2 8 16 0 6 25 49 65 0 24 104 214 294 326 0 120 538 1153 1653 1893 1957 0 720 3324 | -| 43 | Sylvester:Rev | AntiDiag | missing | 1 2 4 0 8 1 16 6 0 32 24 2 64 80 19 0 128 240 110 6 256 672 500 80 0 512 1792 1960 615 24 1024 4608 | -| 44 | Sylvester:Rev | Diffx1 | missing | 1 2 0 4 2 0 8 12 6 0 16 48 57 24 0 32 160 330 320 120 0 64 480 1500 2460 2090 720 0 128 1344 5880 | -| 45 | Sylvester:Rev | RowSum | A000522 | 1 2 5 16 65 326 1957 13700 109601 986410 9864101 108505112 1302061345 16926797486 236975164805 | -| 46 | Sylvester:Rev | EvenSum | missing | 1 2 4 10 35 166 982 6854 54805 493210 4932056 54252562 651030679 8463398750 118487582410 | -| 47 | Sylvester:Rev | OddSum | A038155 | 0 0 1 6 30 160 975 6846 54796 493200 4932045 54252550 651030666 8463398736 118487582395 | -| 48 | Sylvester:Rev | AltSum | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 49 | Sylvester:Rev | DiagSum | missing | 1 2 4 9 22 58 163 484 1508 4903 16564 57942 209269 778494 2976848 11679985 46950810 193094310 | -| 50 | Sylvester:Rev | AccSum | missing | 1 4 14 54 245 1320 8342 60774 502273 4646140 47573494 534284630 6530896869 86323201952 | -| 51 | Sylvester:Rev | AccRevSum | missing | 1 2 6 26 145 962 7314 62526 593737 6204370 70795718 876281826 11697961961 167578760338 | -| 52 | Sylvester:Rev | RowLcm | missing | 1 2 4 24 912 5280 205656000 2528588160 5874643821231360 916835503928037603840 | -| 53 | Sylvester:Rev | RowGcd | B000034 | 1 2 4 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 | -| 54 | Sylvester:Rev | RowMax | missing | 1 2 4 8 24 110 615 4046 30604 261656 2579380 28167920 334925404 4308766176 59645959464 884178662640 | -| 55 | Sylvester:Rev | ColMiddle | missing | 1 2 1 6 19 110 615 3570 28777 167874 1769985 10369590 135131755 794409902 12330989671 72692509890 | -| 56 | Sylvester:Rev | CentralE | missing | 1 1 19 615 28777 1769985 135131755 12330989671 1309509778577 158670146018241 21603959342147715 | -| 57 | Sylvester:Rev | CentralO | missing | 2 6 110 3570 167874 10369590 794409902 72692509890 7737183602434 939252936527334 128086499559331950 | -| 58 | Sylvester:Rev | ColLeft | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | -| 59 | Sylvester:Rev | BinConv | missing | 1 2 6 32 250 2452 28294 372276 5476902 88843388 1572182524 30095481528 618922505656 13596524483960 | -| 60 | Sylvester:Rev | InvBinConv | missing | 1 -2 2 4 10 -52 -626 -3600 -4378 209092 3583684 37666352 228658456 -1320343832 -74742710402 | -| 61 | Sylvester:Rev | TransNat0 | missing | 0 0 1 10 80 636 5357 48826 484136 5217960 60931617 767776714 10395900616 150651962852 2327754304605 | -| 62 | Sylvester:Rev | TransNat1 | missing | 1 2 6 26 145 962 7314 62526 593737 6204370 70795718 876281826 11697961961 167578760338 | -| 63 | Sylvester:Rev | TransSqrs | missing | 0 0 1 14 154 1624 17463 196398 2336108 29522064 396817845 5669643550 85976013110 1381026109384 | -| 64 | Sylvester:Rev | PosHalf | A081923 | 1 4 18 92 536 3552 26608 223456 2085504 21450752 241320704 2949474816 38933066752 552141672448 | -| 65 | Sylvester:Rev | NegHalf | A007466 | 1 -4 14 -44 128 -352 928 -2368 5888 -14336 34304 -80896 188416 -434176 991232 -2244608 5046272 | -| 66 | Sylvester:Rev | DiagRow1 | B000142 | 2 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 67 | Sylvester:Rev | DiagRow2 | missing | 4 6 19 80 418 2604 18828 154944 1429776 14620320 164089440 2005361280 26508781440 376870959360 | -| 68 | Sylvester:Rev | DiagRow3 | missing | 8 24 110 615 4046 30604 261656 2495340 26263512 302411736 3781675872 51039346176 739493351424 | -| 69 | Sylvester:Rev | DiagCol1 | A001788 | 0 1 6 24 80 240 672 1792 4608 11520 28160 67584 159744 372736 860160 1966080 4456448 10027008 | -| 70 | Sylvester:Rev | DiagCol2 | missing | 0 2 19 110 500 1960 6944 22848 71040 211200 605440 1683968 4566016 12113920 31539200 80773120 | -| 71 | Sylvester:Rev | DiagCol3 | missing | 0 6 80 615 3570 17360 74592 292320 1066560 3674880 12080640 38182144 116712960 346644480 1004093440 | -| 72 | Sylvester:Rev | Poly | missing | 1 2 1 4 2 1 8 5 2 1 16 16 6 2 1 32 65 28 7 2 1 64 326 188 44 8 2 1 128 1957 1656 421 64 9 2 1 256 | -| 73 | Sylvester:Rev | PolyRow1 | A007395 | 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | -| 74 | Sylvester:Rev | PolyRow2 | A020705 | 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 | -| 75 | Sylvester:Rev | PolyRow3 | B137882 | 8 16 28 44 64 88 116 148 184 224 268 316 368 424 484 548 616 688 764 844 928 1016 1108 1204 1304 | -| 76 | Sylvester:Rev | PolyCol2 | A084262 | 1 2 6 28 188 1656 17992 232016 3460368 58574368 1109200736 23230928832 533139875776 13304094478208 | -| 77 | Sylvester:Rev | PolyCol3 | A346258 | 1 2 7 44 421 5366 84907 1601552 35052649 872931626 24368595631 753607111412 25572085243597 | -| 78 | Sylvester:Rev | PolyDiag | missing | 1 2 6 44 800 28182 1627192 139512536 16635343104 2632245555050 533576186400224 134812040651954052 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:--------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | Sylvester:Std | Triangle | A341101 | 1 0 2 0 1 4 0 2 6 8 0 6 19 24 16 0 24 80 110 80 32 0 120 418 615 500 240 64 0 720 2604 4046 3570 | +| 1 | Sylvester:Std | Rev | missing | 1 2 0 4 1 0 8 6 2 0 16 24 19 6 0 32 80 110 80 24 0 64 240 500 615 418 120 0 128 672 1960 3570 4046 | +| 2 | Sylvester:Std | Acc | missing | 1 0 2 0 1 5 0 2 8 16 0 6 25 49 65 0 24 104 214 294 326 0 120 538 1153 1653 1893 1957 0 720 3324 | +| 3 | Sylvester:Std | AccRev | missing | 1 2 2 4 5 5 8 14 16 16 16 40 59 65 65 32 112 222 302 326 326 64 304 804 1419 1837 1957 1957 128 800 | +| 4 | Sylvester:Std | AntiDiag | missing | 1 0 0 2 0 1 0 2 4 0 6 6 0 24 19 8 0 120 80 24 0 720 418 110 16 0 5040 2604 615 80 0 40320 18828 | +| 5 | Sylvester:Std | Diffx1 | missing | 1 0 4 0 2 12 0 4 18 32 0 12 57 96 80 0 48 240 440 400 192 0 240 1254 2460 2500 1440 448 0 1440 7812 | +| 6 | Sylvester:Std | RowSum | A000522 | 1 2 5 16 65 326 1957 13700 109601 986410 9864101 108505112 1302061345 16926797486 236975164805 | +| 7 | Sylvester:Std | EvenSum | missing | 1 0 4 6 35 160 982 6846 54805 493200 4932056 54252550 651030679 8463398736 118487582410 | +| 8 | Sylvester:Std | OddSum | missing | 0 2 1 10 30 166 975 6854 54796 493210 4932045 54252562 651030666 8463398750 118487582395 | +| 9 | Sylvester:Std | AltSum | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 10 | Sylvester:Std | DiagSum | missing | 1 0 2 1 6 12 51 224 1264 8339 63726 552238 5351033 57309548 672108878 8564808105 117824815906 | +| 11 | Sylvester:Std | AccSum | missing | 1 2 6 26 145 962 7314 62526 593737 6204370 70795718 876281826 11697961961 167578760338 | +| 12 | Sylvester:Std | AccRevSum | missing | 1 4 14 54 245 1320 8342 60774 502273 4646140 47573494 534284630 6530896869 86323201952 | +| 13 | Sylvester:Std | RowLcm | missing | 1 2 4 24 912 5280 205656000 2528588160 5874643821231360 916835503928037603840 | +| 14 | Sylvester:Std | RowGcd | B000034 | 1 2 4 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 | +| 15 | Sylvester:Std | RowMax | missing | 1 2 4 8 24 110 615 4046 30604 261656 2579380 28167920 334925404 4308766176 59645959464 884178662640 | +| 16 | Sylvester:Std | ColMiddle | missing | 1 0 1 2 19 80 615 4046 28777 259056 1769985 20268050 135131755 1880186880 12330989671 202043487646 | +| 17 | Sylvester:Std | CentralE | missing | 1 1 19 615 28777 1769985 135131755 12330989671 1309509778577 158670146018241 21603959342147715 | +| 18 | Sylvester:Std | CentralO | missing | 0 2 80 4046 259056 20268050 1880186880 202043487646 24699845506336 3386443161237474 | +| 19 | Sylvester:Std | ColRight | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 20 | Sylvester:Std | BinConv | missing | 1 2 6 32 250 2452 28294 372276 5476902 88843388 1572182524 30095481528 618922505656 13596524483960 | +| 21 | Sylvester:Std | InvBinConv | missing | 1 2 2 -4 10 52 -626 3600 -4378 -209092 3583684 -37666352 228658456 1320343832 -74742710402 | +| 22 | Sylvester:Std | TransNat0 | missing | 0 2 9 38 180 994 6385 47074 392672 3659730 37709393 425779518 5228835524 69396404466 989898002665 | +| 23 | Sylvester:Std | TransNat1 | missing | 1 4 14 54 245 1320 8342 60774 502273 4646140 47573494 534284630 6530896869 86323201952 | +| 24 | Sylvester:Std | TransSqrs | missing | 0 2 17 98 554 3414 23631 184134 1604396 15497994 164595605 1907674394 23971232006 324703850366 | +| 25 | Sylvester:Std | PosHalf | A084262 | 1 2 6 28 188 1656 17992 232016 3460368 58574368 1109200736 23230928832 533139875776 13304094478208 | +| 26 | Sylvester:Std | NegHalf | missing | 1 2 2 4 -4 56 -488 5552 -73456 1117216 -19197664 367902272 -7780394048 179998323584 -4522250011264 | +| 27 | Sylvester:Std | DiagRow1 | A001788 | 0 1 6 24 80 240 672 1792 4608 11520 28160 67584 159744 372736 860160 1966080 4456448 10027008 | +| 28 | Sylvester:Std | DiagRow2 | missing | 0 2 19 110 500 1960 6944 22848 71040 211200 605440 1683968 4566016 12113920 31539200 80773120 | +| 29 | Sylvester:Std | DiagRow3 | missing | 0 6 80 615 3570 17360 74592 292320 1066560 3674880 12080640 38182144 116712960 346644480 1004093440 | +| 30 | Sylvester:Std | DiagCol1 | B000142 | 2 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 31 | Sylvester:Std | DiagCol2 | missing | 4 6 19 80 418 2604 18828 154944 1429776 14620320 164089440 2005361280 26508781440 376870959360 | +| 32 | Sylvester:Std | DiagCol3 | missing | 8 24 110 615 4046 30604 261656 2495340 26263512 302411736 3781675872 51039346176 739493351424 | +| 33 | Sylvester:Std | Poly | missing | 1 0 1 0 2 1 0 5 4 1 0 16 18 6 1 0 65 92 39 8 1 0 326 536 276 68 10 1 0 1957 3552 2133 616 105 12 1 | +| 34 | Sylvester:Std | PolyRow1 | A005843 | 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 | +| 35 | Sylvester:Std | PolyRow2 | A007742 | 0 5 18 39 68 105 150 203 264 333 410 495 588 689 798 915 1040 1173 1314 1463 1620 1785 1958 2139 | +| 36 | Sylvester:Std | PolyRow3 | missing | 0 16 92 276 616 1160 1956 3052 4496 6336 8620 11396 14712 18616 23156 28380 34336 41072 48636 57076 | +| 37 | Sylvester:Std | PolyCol2 | A081923 | 1 4 18 92 536 3552 26608 223456 2085504 21450752 241320704 2949474816 38933066752 552141672448 | +| 38 | Sylvester:Std | PolyCol3 | missing | 1 6 39 276 2133 18018 166203 1670112 18221193 215014014 2733237999 37281387564 543586734621 | +| 39 | Sylvester:Std | PolyDiag | A295183 | 1 2 18 276 5960 165870 5648832 227507336 10577029248 557457222330 32843470246400 2139014862736092 | +| 40 | Sylvester:Alt | Triangle | A341101 | 1 0 -2 0 -1 4 0 -2 6 -8 0 -6 19 -24 16 0 -24 80 -110 80 -32 0 -120 418 -615 500 -240 64 0 -720 2604 | +| 41 | Sylvester:Alt | Rev | missing | 1 -2 0 4 -1 0 -8 6 -2 0 16 -24 19 -6 0 -32 80 -110 80 -24 0 64 -240 500 -615 418 -120 0 -128 672 | +| 42 | Sylvester:Alt | Acc | missing | 1 0 -2 0 -1 3 0 -2 4 -4 0 -6 13 -11 5 0 -24 56 -54 26 -6 0 -120 298 -317 183 -57 7 0 -720 1884 | +| 43 | Sylvester:Alt | AccRev | missing | 1 -2 -2 4 3 3 -8 -2 -4 -4 16 -8 11 5 5 -32 48 -62 18 -6 -6 64 -176 324 -291 127 7 7 -128 544 -1416 | +| 44 | Sylvester:Alt | AntiDiag | missing | 1 0 0 -2 0 -1 0 -2 4 0 -6 6 0 -24 19 -8 0 -120 80 -24 0 -720 418 -110 16 0 -5040 2604 -615 80 0 | +| 45 | Sylvester:Alt | Diffx1 | missing | 1 0 -4 0 -2 12 0 -4 18 -32 0 -12 57 -96 80 0 -48 240 -440 400 -192 0 -240 1254 -2460 2500 -1440 448 | +| 46 | Sylvester:Alt | RowSum | A000027 | 1 -2 3 -4 5 -6 7 -8 9 -10 11 -12 13 -14 15 -16 17 -18 19 -20 21 -22 23 -24 25 -26 27 -28 29 -30 31 | +| 47 | Sylvester:Alt | EvenSum | missing | 1 0 4 6 35 160 982 6846 54805 493200 4932056 54252550 651030679 8463398736 118487582410 | +| 48 | Sylvester:Alt | OddSum | missing | 0 -2 -1 -10 -30 -166 -975 -6854 -54796 -493210 -4932045 -54252562 -651030666 -8463398750 | +| 49 | Sylvester:Alt | AltSum | A000522 | 1 2 5 16 65 326 1957 13700 109601 986410 9864101 108505112 1302061345 16926797486 236975164805 | +| 50 | Sylvester:Alt | DiagSum | missing | 1 0 -2 -1 2 0 -13 -64 -396 -2971 -25070 -235210 -2433799 -27549452 -338757350 -4497600521 | +| 51 | Sylvester:Alt | AccSum | missing | 1 -2 2 -2 1 -2 -6 -30 -199 -1426 -11782 -108506 -1106167 -12363730 -150381214 -1977666774 | +| 52 | Sylvester:Alt | AccRevSum | missing | 1 -4 10 -18 29 -40 62 -42 289 1316 11914 108350 1106349 12363520 150381454 1977666502 27965386593 | +| 53 | Sylvester:Alt | RowLcm | missing | 1 2 4 24 912 5280 205656000 2528588160 5874643821231360 916835503928037603840 | +| 54 | Sylvester:Alt | RowGcd | B000034 | 1 2 4 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 | +| 55 | Sylvester:Alt | RowMax | missing | 1 2 4 8 24 110 615 4046 30604 261656 2579380 28167920 334925404 4308766176 59645959464 884178662640 | +| 56 | Sylvester:Alt | ColMiddle | missing | 1 0 -1 -2 19 80 -615 -4046 28777 259056 -1769985 -20268050 135131755 1880186880 -12330989671 | +| 57 | Sylvester:Alt | CentralE | missing | 1 -1 19 -615 28777 -1769985 135131755 -12330989671 1309509778577 -158670146018241 21603959342147715 | +| 58 | Sylvester:Alt | CentralO | missing | 0 -2 80 -4046 259056 -20268050 1880186880 -202043487646 24699845506336 -3386443161237474 | +| 59 | Sylvester:Alt | ColRight | A000079 | 1 -2 4 -8 16 -32 64 -128 256 -512 1024 -2048 4096 -8192 16384 -32768 65536 -131072 262144 -524288 | +| 60 | Sylvester:Alt | BinConv | missing | 1 -2 2 4 10 -52 -626 -3600 -4378 209092 3583684 37666352 228658456 -1320343832 -74742710402 | +| 61 | Sylvester:Alt | InvBinConv | missing | 1 -2 6 -32 250 -2452 28294 -372276 5476902 -88843388 1572182524 -30095481528 618922505656 | +| 62 | Sylvester:Alt | TransNat0 | missing | 0 -2 7 -14 24 -34 55 -34 280 1326 11903 108362 1106336 12363534 150381439 1977666518 27965386576 | +| 63 | Sylvester:Alt | TransNat1 | missing | 1 -4 10 -18 29 -40 62 -42 289 1316 11914 108350 1106349 12363520 150381454 1977666502 27965386593 | +| 64 | Sylvester:Alt | TransSqrs | missing | 0 -2 15 -50 110 -214 321 -678 -172 -8202 -59125 -576234 -6007918 -68818814 -855799091 -11488399518 | +| 65 | Sylvester:Alt | PosHalf | missing | 1 -2 2 -4 -4 -56 -488 -5552 -73456 -1117216 -19197664 -367902272 -7780394048 -179998323584 | +| 66 | Sylvester:Alt | NegHalf | A084262 | 1 -2 6 -28 188 -1656 17992 -232016 3460368 -58574368 1109200736 -23230928832 533139875776 | +| 67 | Sylvester:Alt | DiagRow1 | A001788 | 0 -1 6 -24 80 -240 672 -1792 4608 -11520 28160 -67584 159744 -372736 860160 -1966080 4456448 | +| 68 | Sylvester:Alt | DiagRow2 | missing | 0 -2 19 -110 500 -1960 6944 -22848 71040 -211200 605440 -1683968 4566016 -12113920 31539200 | +| 69 | Sylvester:Alt | DiagRow3 | missing | 0 -6 80 -615 3570 -17360 74592 -292320 1066560 -3674880 12080640 -38182144 116712960 -346644480 | +| 70 | Sylvester:Alt | DiagCol1 | B000142 | -2 -1 -2 -6 -24 -120 -720 -5040 -40320 -362880 -3628800 -39916800 -479001600 -6227020800 | +| 71 | Sylvester:Alt | DiagCol2 | missing | 4 6 19 80 418 2604 18828 154944 1429776 14620320 164089440 2005361280 26508781440 376870959360 | +| 72 | Sylvester:Alt | DiagCol3 | missing | -8 -24 -110 -615 -4046 -30604 -261656 -2495340 -26263512 -302411736 -3781675872 -51039346176 | +| 73 | Sylvester:Alt | Poly | missing | 1 0 1 0 -2 1 0 3 -4 1 0 -4 14 -6 1 0 5 -44 33 -8 1 0 -6 128 -168 60 -10 1 0 7 -352 801 -424 95 -12 | +| 74 | Sylvester:Alt | PolyRow1 | A005843 | 0 -2 -4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44 -46 -48 -50 | +| 75 | Sylvester:Alt | PolyRow2 | A033991 | 0 3 14 33 60 95 138 189 248 315 390 473 564 663 770 885 1008 1139 1278 1425 1580 1743 1914 2093 | +| 76 | Sylvester:Alt | PolyRow3 | missing | 0 -4 -44 -168 -424 -860 -1524 -2464 -3728 -5364 -7420 -9944 -12984 -16588 -20804 -25680 -31264 | +| 77 | Sylvester:Alt | PolyCol2 | A007466 | 1 -4 14 -44 128 -352 928 -2368 5888 -14336 34304 -80896 188416 -434176 991232 -2244608 5046272 | +| 78 | Sylvester:Alt | PolyCol3 | missing | 1 -6 33 -168 801 -3618 15633 -65124 263169 -1036638 3995649 -15116544 56273697 -206553402 748800369 | +| 79 | Sylvester:Alt | PolyDiag | A277373 | 1 -2 14 -168 2840 -61870 1649232 -51988748 1891712384 -78031713690 3598075308800 -183396819358192 | +| 80 | Sylvester:Rev | Triangle | missing | 1 2 0 4 1 0 8 6 2 0 16 24 19 6 0 32 80 110 80 24 0 64 240 500 615 418 120 0 128 672 1960 3570 4046 | +| 81 | Sylvester:Rev | Acc | missing | 1 2 2 4 5 5 8 14 16 16 16 40 59 65 65 32 112 222 302 326 326 64 304 804 1419 1837 1957 1957 128 800 | +| 82 | Sylvester:Rev | AccRev | missing | 1 0 2 0 1 5 0 2 8 16 0 6 25 49 65 0 24 104 214 294 326 0 120 538 1153 1653 1893 1957 0 720 3324 | +| 83 | Sylvester:Rev | AntiDiag | missing | 1 2 4 0 8 1 16 6 0 32 24 2 64 80 19 0 128 240 110 6 256 672 500 80 0 512 1792 1960 615 24 1024 4608 | +| 84 | Sylvester:Rev | Diffx1 | missing | 1 2 0 4 2 0 8 12 6 0 16 48 57 24 0 32 160 330 320 120 0 64 480 1500 2460 2090 720 0 128 1344 5880 | +| 85 | Sylvester:Rev | RowSum | A000522 | 1 2 5 16 65 326 1957 13700 109601 986410 9864101 108505112 1302061345 16926797486 236975164805 | +| 86 | Sylvester:Rev | EvenSum | missing | 1 2 4 10 35 166 982 6854 54805 493210 4932056 54252562 651030679 8463398750 118487582410 | +| 87 | Sylvester:Rev | OddSum | A038155 | 0 0 1 6 30 160 975 6846 54796 493200 4932045 54252550 651030666 8463398736 118487582395 | +| 88 | Sylvester:Rev | AltSum | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 89 | Sylvester:Rev | DiagSum | missing | 1 2 4 9 22 58 163 484 1508 4903 16564 57942 209269 778494 2976848 11679985 46950810 193094310 | +| 90 | Sylvester:Rev | AccSum | missing | 1 4 14 54 245 1320 8342 60774 502273 4646140 47573494 534284630 6530896869 86323201952 | +| 91 | Sylvester:Rev | AccRevSum | missing | 1 2 6 26 145 962 7314 62526 593737 6204370 70795718 876281826 11697961961 167578760338 | +| 92 | Sylvester:Rev | RowLcm | missing | 1 2 4 24 912 5280 205656000 2528588160 5874643821231360 916835503928037603840 | +| 93 | Sylvester:Rev | RowGcd | B000034 | 1 2 4 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 | +| 94 | Sylvester:Rev | RowMax | missing | 1 2 4 8 24 110 615 4046 30604 261656 2579380 28167920 334925404 4308766176 59645959464 884178662640 | +| 95 | Sylvester:Rev | ColMiddle | missing | 1 2 1 6 19 110 615 3570 28777 167874 1769985 10369590 135131755 794409902 12330989671 72692509890 | +| 96 | Sylvester:Rev | CentralE | missing | 1 1 19 615 28777 1769985 135131755 12330989671 1309509778577 158670146018241 21603959342147715 | +| 97 | Sylvester:Rev | CentralO | missing | 2 6 110 3570 167874 10369590 794409902 72692509890 7737183602434 939252936527334 128086499559331950 | +| 98 | Sylvester:Rev | ColLeft | A000079 | 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 | +| 99 | Sylvester:Rev | BinConv | missing | 1 2 6 32 250 2452 28294 372276 5476902 88843388 1572182524 30095481528 618922505656 13596524483960 | +| 100 | Sylvester:Rev | InvBinConv | missing | 1 -2 2 4 10 -52 -626 -3600 -4378 209092 3583684 37666352 228658456 -1320343832 -74742710402 | +| 101 | Sylvester:Rev | TransNat0 | missing | 0 0 1 10 80 636 5357 48826 484136 5217960 60931617 767776714 10395900616 150651962852 2327754304605 | +| 102 | Sylvester:Rev | TransNat1 | missing | 1 2 6 26 145 962 7314 62526 593737 6204370 70795718 876281826 11697961961 167578760338 | +| 103 | Sylvester:Rev | TransSqrs | missing | 0 0 1 14 154 1624 17463 196398 2336108 29522064 396817845 5669643550 85976013110 1381026109384 | +| 104 | Sylvester:Rev | PosHalf | A081923 | 1 4 18 92 536 3552 26608 223456 2085504 21450752 241320704 2949474816 38933066752 552141672448 | +| 105 | Sylvester:Rev | NegHalf | A007466 | 1 -4 14 -44 128 -352 928 -2368 5888 -14336 34304 -80896 188416 -434176 991232 -2244608 5046272 | +| 106 | Sylvester:Rev | DiagRow1 | B000142 | 2 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 107 | Sylvester:Rev | DiagRow2 | missing | 4 6 19 80 418 2604 18828 154944 1429776 14620320 164089440 2005361280 26508781440 376870959360 | +| 108 | Sylvester:Rev | DiagRow3 | missing | 8 24 110 615 4046 30604 261656 2495340 26263512 302411736 3781675872 51039346176 739493351424 | +| 109 | Sylvester:Rev | DiagCol1 | A001788 | 0 1 6 24 80 240 672 1792 4608 11520 28160 67584 159744 372736 860160 1966080 4456448 10027008 | +| 110 | Sylvester:Rev | DiagCol2 | missing | 0 2 19 110 500 1960 6944 22848 71040 211200 605440 1683968 4566016 12113920 31539200 80773120 | +| 111 | Sylvester:Rev | DiagCol3 | missing | 0 6 80 615 3570 17360 74592 292320 1066560 3674880 12080640 38182144 116712960 346644480 1004093440 | +| 112 | Sylvester:Rev | Poly | missing | 1 2 1 4 2 1 8 5 2 1 16 16 6 2 1 32 65 28 7 2 1 64 326 188 44 8 2 1 128 1957 1656 421 64 9 2 1 256 | +| 113 | Sylvester:Rev | PolyRow1 | A007395 | 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 | +| 114 | Sylvester:Rev | PolyRow2 | A020705 | 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 | +| 115 | Sylvester:Rev | PolyRow3 | B137882 | 8 16 28 44 64 88 116 148 184 224 268 316 368 424 484 548 616 688 764 844 928 1016 1108 1204 1304 | +| 116 | Sylvester:Rev | PolyCol2 | A084262 | 1 2 6 28 188 1656 17992 232016 3460368 58574368 1109200736 23230928832 533139875776 13304094478208 | +| 117 | Sylvester:Rev | PolyCol3 | A346258 | 1 2 7 44 421 5366 84907 1601552 35052649 872931626 24368595631 753607111412 25572085243597 | +| 118 | Sylvester:Rev | PolyDiag | missing | 1 2 6 44 800 28182 1627192 139512536 16635343104 2632245555050 533576186400224 134812040651954052 | \ No newline at end of file diff --git a/data/md/SymPoly.md b/data/md/SymPoly.md index aa0c013..db9c6c5 100644 --- a/data/md/SymPoly.md +++ b/data/md/SymPoly.md @@ -41,122 +41,163 @@ | 38 | SymPoly:Std | PolyCol2 | missing | 1 3 12 56 300 1836 12760 99912 873696 8458976 89952192 1043100480 13107099904 177471036672 | | 39 | SymPoly:Std | PolyCol3 | missing | 1 4 20 111 678 4569 34038 280197 2541654 25295193 274793742 3241326429 41300996526 565775501697 | | 40 | SymPoly:Std | PolyDiag | missing | 1 2 12 111 1344 19965 350856 7117677 163705344 4209578829 119679019200 3727636057101 | -| 41 | SymPoly:Rev | Triangle | A105954 | 1 1 1 1 3 2 1 5 11 6 1 7 26 50 24 1 9 47 154 274 120 1 11 74 342 1044 1764 720 1 13 107 638 2754 | -| 42 | SymPoly:Rev | InvRev | missing | 1 -1 1 1 -3 1 0 4 -5 1 0 0 9 -7 1 0 0 0 16 -9 1 0 0 0 0 25 -11 1 0 0 0 0 0 36 -13 1 0 0 0 0 0 0 49 | -| 43 | SymPoly:Rev | Acc | missing | 1 1 2 1 4 6 1 6 17 23 1 8 34 84 108 1 10 57 211 485 605 1 12 86 428 1472 3236 3956 1 14 121 759 | -| 44 | SymPoly:Rev | AccRev | missing | 1 1 2 2 5 6 6 17 22 23 24 74 100 107 108 120 394 548 595 604 605 720 2484 3528 3870 3944 3955 3956 | -| 45 | SymPoly:Rev | AntiDiag | missing | 1 1 1 1 1 3 1 5 2 1 7 11 1 9 26 6 1 11 47 50 1 13 74 154 24 1 15 107 342 274 1 17 146 638 1044 120 | -| 46 | SymPoly:Rev | Diffx1 | missing | 1 1 2 1 6 6 1 10 33 24 1 14 78 200 120 1 18 141 616 1370 720 1 22 222 1368 5220 10584 5040 1 26 321 | -| 47 | SymPoly:Rev | RowSum | A093345 | 1 2 6 23 108 605 3956 29649 250892 2367629 24662700 281153801 3482350724 46572620757 668943488084 | -| 48 | SymPoly:Rev | EvenSum | missing | 1 1 3 12 51 322 1839 15930 115675 1279170 11311047 152467714 1591143315 25324834410 304787011135 | -| 49 | SymPoly:Rev | OddSum | missing | 0 1 3 11 57 283 2117 13719 135217 1088459 13351653 128686087 1891207409 21247786347 364156476949 | -| 50 | SymPoly:Rev | AltSum | missing | 1 0 0 1 -6 39 -278 2211 -19542 190711 -2040606 23781627 -300064094 4077048063 -59369465814 | -| 51 | SymPoly:Rev | DiagSum | missing | 1 1 2 4 8 19 42 109 266 739 1966 5795 16606 51631 157814 515203 1666726 5691287 19366846 68939899 | -| 52 | SymPoly:Rev | AccSum | missing | 1 3 11 47 235 1369 9191 70207 602755 5753597 60495199 695039491 8665989227 116564043985 | -| 53 | SymPoly:Rev | AccRevSum | missing | 1 3 13 68 413 2866 22457 196634 1906165 20290322 235457201 2959959922 40086920909 582025267370 | -| 54 | SymPoly:Rev | RowLcm | missing | 1 1 6 330 54600 178489080 7911786960 839338855795440 11191805812769662080 | -| 55 | SymPoly:Rev | RowMax | B000254 | 1 1 3 11 50 274 1764 13068 109584 1026576 10628640 120543840 1486442880 19802759040 283465647360 | -| 56 | SymPoly:Rev | ColMiddle | missing | 1 1 3 5 26 47 342 638 5944 11274 127860 245004 3272688 6314664 97053936 188204400 3270729600 | -| 57 | SymPoly:Rev | CentralE | missing | 1 3 26 342 5944 127860 3272688 97053936 3270729600 123418922400 5154170774400 235977273544320 | -| 58 | SymPoly:Rev | CentralO | A058806 | 1 5 47 638 11274 245004 6314664 188204400 6366517200 240947474400 10086271796160 462688566802560 | -| 59 | SymPoly:Rev | ColRight | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 60 | SymPoly:Rev | BinConv | missing | 1 2 9 55 409 3546 34981 386163 4711281 62903242 911810321 14254347735 238977876457 4275994190482 | -| 61 | SymPoly:Rev | InvBinConv | missing | 1 0 -3 -13 -47 -136 1 5935 88481 1060568 11963541 131894883 1423461073 14655258656 132538911961 | -| 62 | SymPoly:Rev | TransNat0 | missing | 0 1 7 45 305 2261 18501 166985 1655273 17922693 210794501 2678806121 36604570185 535452646613 | -| 63 | SymPoly:Rev | TransNat1 | missing | 1 3 13 68 413 2866 22457 196634 1906165 20290322 235457201 2959959922 40086920909 582025267370 | -| 64 | SymPoly:Rev | TransSqrs | missing | 0 1 11 103 945 8967 90109 968355 11162697 137997271 1826219517 25806039699 388296685225 | -| 65 | SymPoly:Rev | PosHalf | missing | 1 3 12 56 300 1836 12760 99912 873696 8458976 89952192 1043100480 13107099904 177471036672 | -| 66 | SymPoly:Rev | NegHalf | missing | 1 -1 0 -4 -12 -76 -472 -3528 -29536 -276832 -2866368 -32512576 -400954624 -5342062848 -76474349056 | -| 67 | SymPoly:Rev | DiagRow1 | B000254 | 1 3 11 50 274 1764 13068 109584 1026576 10628640 120543840 1486442880 19802759040 283465647360 | -| 68 | SymPoly:Rev | DiagRow2 | B001705 | 1 5 26 154 1044 8028 69264 663696 6999840 80627040 1007441280 13575738240 196287356160 | -| 69 | SymPoly:Rev | DiagRow3 | A001711 | 1 7 47 342 2754 24552 241128 2592720 30334320 383970240 5231113920 76349105280 1188825724800 | -| 70 | SymPoly:Rev | DiagCol1 | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | -| 71 | SymPoly:Rev | DiagCol2 | A080663 | 2 11 26 47 74 107 146 191 242 299 362 431 506 587 674 767 866 971 1082 1199 1322 1451 1586 1727 | -| 72 | SymPoly:Rev | DiagCol3 | A165676 | 6 50 154 342 638 1066 1650 2414 3382 4578 6026 7750 9774 12122 14818 17886 21350 25234 29562 34358 | -| 73 | SymPoly:Rev | Poly | missing | 1 1 1 1 2 1 1 6 3 1 1 23 15 4 1 1 108 103 28 5 1 1 605 903 277 45 6 1 1 3956 9663 3550 581 66 7 1 1 | -| 74 | SymPoly:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 75 | SymPoly:Rev | PolyRow2 | B000384 | 1 6 15 28 45 66 91 120 153 190 231 276 325 378 435 496 561 630 703 780 861 946 1035 1128 1225 1326 | -| 76 | SymPoly:Rev | PolyRow3 | missing | 1 23 103 277 581 1051 1723 2633 3817 5311 7151 9373 12013 15107 18691 22801 27473 32743 38647 45221 | -| 77 | SymPoly:Rev | PolyCol2 | missing | 1 3 15 103 903 9663 122287 1787991 29671479 551104591 11328415263 255351604647 6263220826471 | -| 78 | SymPoly:Rev | PolyCol3 | missing | 1 4 28 277 3550 55963 1048030 22741159 561170926 15520809643 475592544598 15993601630975 | -| 79 | SymPoly:Rev | PolyDiag | missing | 1 2 15 277 9789 566721 48738811 5829856971 925258217721 188084091286261 47643226823678391 | -| 80 | SymPoly:Inv | Triangle | missing | 1 -1 1 1 -3 1 0 4 -5 1 0 0 9 -7 1 0 0 0 16 -9 1 0 0 0 0 25 -11 1 0 0 0 0 0 36 -13 1 0 0 0 0 0 0 49 | -| 81 | SymPoly:Inv | Rev | missing | 1 1 -1 1 -3 1 1 -5 4 0 1 -7 9 0 0 1 -9 16 0 0 0 1 -11 25 0 0 0 0 1 -13 36 0 0 0 0 0 1 -15 49 0 0 0 | -| 82 | SymPoly:Inv | RevInv | A105954 | 1 1 1 1 3 2 1 5 11 6 1 7 26 50 24 1 9 47 154 274 120 1 11 74 342 1044 1764 720 1 13 107 638 2754 | -| 83 | SymPoly:Inv | Acc | missing | 1 -1 0 1 -2 -1 0 4 -1 0 0 0 9 2 3 0 0 0 16 7 8 0 0 0 0 25 14 15 0 0 0 0 0 36 23 24 0 0 0 0 0 0 49 | -| 84 | SymPoly:Inv | AccRev | missing | 1 1 0 1 -2 -1 1 -4 0 0 1 -6 3 3 3 1 -8 8 8 8 8 1 -10 15 15 15 15 15 1 -12 24 24 24 24 24 24 1 -14 | -| 85 | SymPoly:Inv | AntiDiag | missing | 1 -1 1 1 0 -3 0 4 1 0 0 -5 0 0 9 1 0 0 0 -7 0 0 0 16 1 0 0 0 0 -9 0 0 0 0 25 1 0 0 0 0 0 -11 0 0 0 | -| 86 | SymPoly:Inv | Diffx1 | missing | 1 -1 2 1 -6 3 0 8 -15 4 0 0 27 -28 5 0 0 0 64 -45 6 0 0 0 0 125 -66 7 0 0 0 0 0 216 -91 8 0 0 0 0 0 | -| 87 | SymPoly:Inv | RowSum | A067998 | 1 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 | -| 88 | SymPoly:Inv | EvenSum | missing | 1 -1 2 -5 10 -9 26 -13 50 -17 82 -21 122 -25 170 -29 226 -33 290 -37 362 -41 442 -45 530 -49 626 | -| 89 | SymPoly:Inv | OddSum | missing | 0 1 -3 5 -7 17 -11 37 -15 65 -19 101 -23 145 -27 197 -31 257 -35 325 -39 401 -43 485 -47 577 -51 | -| 90 | SymPoly:Inv | AltSum | A002522 | 1 -2 5 -10 17 -26 37 -50 65 -82 101 -122 145 -170 197 -226 257 -290 325 -362 401 -442 485 -530 577 | -| 91 | SymPoly:Inv | DiagSum | missing | 1 -1 2 -3 5 -5 10 -7 17 -9 26 -11 37 -13 50 -15 65 -17 82 -19 101 -21 122 -23 145 -25 170 -27 197 | -| 92 | SymPoly:Inv | AccSum | missing | 1 -1 -2 3 14 31 54 83 118 159 206 259 318 383 454 531 614 703 798 899 1006 1119 1238 1363 1494 1631 | -| 93 | SymPoly:Inv | AccRevSum | missing | 1 1 -2 -3 4 25 66 133 232 369 550 781 1068 1417 1834 2325 2896 3553 4302 5149 6100 7161 8338 9637 | -| 94 | SymPoly:Inv | RowLcm | B099721 | 1 1 3 20 63 144 275 468 735 1088 1539 2100 2783 3600 4563 5684 6975 8448 10115 11988 14079 16400 | -| 95 | SymPoly:Inv | RowGcd | A103755 | 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 96 | SymPoly:Inv | RowMax | missing | 1 1 3 5 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 | -| 97 | SymPoly:Inv | ColMiddle | missing | 1 -1 -3 4 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 98 | SymPoly:Inv | CentralE | B010054 | 1 -3 9 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 99 | SymPoly:Inv | CentralO | A274981 | -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 100 | SymPoly:Inv | ColLeft | A014060 | 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 101 | SymPoly:Inv | BinConv | missing | 1 0 -4 -2 27 116 310 666 1253 2152 3456 5270 7711 10908 15002 20146 26505 34256 43588 54702 67811 | -| 102 | SymPoly:Inv | InvBinConv | missing | 1 2 8 28 83 206 442 848 1493 2458 3836 5732 8263 11558 15758 21016 27497 35378 44848 56108 69371 | -| 103 | SymPoly:Inv | TransNat0 | missing | 0 1 -1 -3 1 17 51 109 197 321 487 701 969 1297 1691 2157 2701 3329 4047 4861 5777 6801 7939 9197 | -| 104 | SymPoly:Inv | TransNat1 | missing | 1 1 -2 -3 4 25 66 133 232 369 550 781 1068 1417 1834 2325 2896 3553 4302 5149 6100 7161 8338 9637 | -| 105 | SymPoly:Inv | TransSqrs | missing | 0 1 1 -7 -11 25 161 481 1093 2129 3745 6121 9461 13993 19969 27665 37381 49441 64193 82009 103285 | -| 106 | SymPoly:Inv | PosHalf | B073577 | 1 -1 -1 7 23 47 79 119 167 223 287 359 439 527 623 727 839 959 1087 1223 1367 1519 1679 1847 2023 | -| 107 | SymPoly:Inv | NegHalf | A164897 | 1 3 11 27 51 83 123 171 227 291 363 443 531 627 731 843 963 1091 1227 1371 1523 1683 1851 2027 2211 | -| 108 | SymPoly:Inv | DiagRow1 | A005408 | -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 -51 | -| 109 | SymPoly:Inv | DiagRow2 | A162395 | 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 | -| 110 | SymPoly:Inv | DiagCol1 | B000007 | 1 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 111 | SymPoly:Inv | DiagCol2 | B000007 | 1 -5 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 112 | SymPoly:Inv | DiagCol3 | B000007 | 1 -7 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 113 | SymPoly:Inv | Poly | missing | 1 -1 1 1 0 1 0 -1 1 1 0 0 -1 2 1 0 3 -4 1 3 1 0 8 -4 -6 5 4 1 0 15 16 -27 0 11 5 1 0 24 112 -54 -48 | -| 114 | SymPoly:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | -| 115 | SymPoly:Inv | PolyRow2 | A165900 | 1 -1 -1 1 5 11 19 29 41 55 71 89 109 131 155 181 209 239 271 305 341 379 419 461 505 551 599 649 | -| 116 | SymPoly:Inv | PolyRow3 | missing | 0 0 -4 -6 0 20 60 126 224 360 540 770 1056 1404 1820 2310 2880 3536 4284 5130 6080 7140 8316 9614 | -| 117 | SymPoly:Inv | PolyCol2 | missing | 1 1 -1 -4 -4 16 112 448 1472 4352 12032 31744 80896 200704 487424 1163264 2736128 6356992 14614528 | -| 118 | SymPoly:Inv | PolyCol3 | missing | 1 2 1 -6 -27 -54 81 1458 9477 48114 216513 905418 3601989 13817466 51549777 188130114 674398629 | -| 119 | SymPoly:Inv | PolyDiag | A053506 | 1 0 -1 -6 -48 -500 -6480 -100842 -1835008 -38263752 -900000000 -23579476910 -681091006464 | -| 120 | SymPoly:Inv:Rev | Triangle | missing | 1 1 -1 1 -3 1 1 -5 4 0 1 -7 9 0 0 1 -9 16 0 0 0 1 -11 25 0 0 0 0 1 -13 36 0 0 0 0 0 1 -15 49 0 0 0 | -| 121 | SymPoly:Inv:Rev | Rev | missing | 1 -1 1 1 -3 1 0 4 -5 1 0 0 9 -7 1 0 0 0 16 -9 1 0 0 0 0 25 -11 1 0 0 0 0 0 36 -13 1 0 0 0 0 0 0 49 | -| 122 | SymPoly:Inv:Rev | InvRev | A165675 | 1 1 1 2 3 1 6 11 5 1 24 50 26 7 1 120 274 154 47 9 1 720 1764 1044 342 74 11 1 5040 13068 8028 2754 | -| 123 | SymPoly:Inv:Rev | Acc | missing | 1 1 0 1 -2 -1 1 -4 0 0 1 -6 3 3 3 1 -8 8 8 8 8 1 -10 15 15 15 15 15 1 -12 24 24 24 24 24 24 1 -14 | -| 124 | SymPoly:Inv:Rev | AccRev | missing | 1 -1 0 1 -2 -1 0 4 -1 0 0 0 9 2 3 0 0 0 16 7 8 0 0 0 0 25 14 15 0 0 0 0 0 36 23 24 0 0 0 0 0 0 49 | -| 125 | SymPoly:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -3 1 -5 1 1 -7 4 1 -9 9 0 1 -11 16 0 1 -13 25 0 0 1 -15 36 0 0 1 -17 49 0 0 0 1 -19 64 0 | -| 126 | SymPoly:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -6 3 1 -10 12 0 1 -14 27 0 0 1 -18 48 0 0 0 1 -22 75 0 0 0 0 1 -26 108 0 0 0 0 0 1 -30 147 | -| 127 | SymPoly:Inv:Rev | RowSum | A067998 | 1 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 | -| 128 | SymPoly:Inv:Rev | EvenSum | A002522 | 1 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 | -| 129 | SymPoly:Inv:Rev | OddSum | A004273 | 0 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | -| 130 | SymPoly:Inv:Rev | AltSum | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | -| 131 | SymPoly:Inv:Rev | DiagSum | missing | 1 1 0 -2 -3 -2 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 | -| 132 | SymPoly:Inv:Rev | AccSum | missing | 1 1 -2 -3 4 25 66 133 232 369 550 781 1068 1417 1834 2325 2896 3553 4302 5149 6100 7161 8338 9637 | -| 133 | SymPoly:Inv:Rev | AccRevSum | missing | 1 -1 -2 3 14 31 54 83 118 159 206 259 318 383 454 531 614 703 798 899 1006 1119 1238 1363 1494 1631 | -| 134 | SymPoly:Inv:Rev | RowLcm | B099721 | 1 1 3 20 63 144 275 468 735 1088 1539 2100 2783 3600 4563 5684 6975 8448 10115 11988 14079 16400 | -| 135 | SymPoly:Inv:Rev | RowGcd | A103755 | 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | -| 136 | SymPoly:Inv:Rev | RowMax | missing | 1 1 3 5 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 | -| 137 | SymPoly:Inv:Rev | ColMiddle | missing | 1 1 -3 -5 9 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 138 | SymPoly:Inv:Rev | CentralE | B010054 | 1 -3 9 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 139 | SymPoly:Inv:Rev | CentralO | B010054 | 1 -5 16 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 140 | SymPoly:Inv:Rev | ColRight | A014060 | 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 141 | SymPoly:Inv:Rev | BinConv | missing | 1 0 -4 -2 27 116 310 666 1253 2152 3456 5270 7711 10908 15002 20146 26505 34256 43588 54702 67811 | -| 142 | SymPoly:Inv:Rev | InvBinConv | missing | 1 -2 8 -28 83 -206 442 -848 1493 -2458 3836 -5732 8263 -11558 15758 -21016 27497 -35378 44848 | -| 143 | SymPoly:Inv:Rev | TransNat0 | B142463 | 0 -1 -1 3 11 23 39 59 83 111 143 179 219 263 311 363 419 479 543 611 683 759 839 923 1011 1103 1199 | -| 144 | SymPoly:Inv:Rev | TransNat1 | missing | 1 -1 -2 3 14 31 54 83 118 159 206 259 318 383 454 531 614 703 798 899 1006 1119 1238 1363 1494 1631 | -| 145 | SymPoly:Inv:Rev | TransSqrs | B082108 | 0 -1 1 11 29 55 89 131 181 239 305 379 461 551 649 755 869 991 1121 1259 1405 1559 1721 1891 2069 | -| 146 | SymPoly:Inv:Rev | PosHalf | missing | 1 1 -1 -4 -4 16 112 448 1472 4352 12032 31744 80896 200704 487424 1163264 2736128 6356992 14614528 | -| 147 | SymPoly:Inv:Rev | NegHalf | missing | 1 -3 11 -36 108 -304 816 -2112 5312 -13056 31488 -74752 175104 -405504 929792 -2113536 4767744 | -| 148 | SymPoly:Inv:Rev | DiagRow1 | B000007 | 1 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 149 | SymPoly:Inv:Rev | DiagRow2 | B000007 | 1 -5 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 150 | SymPoly:Inv:Rev | DiagRow3 | B000007 | 1 -7 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -| 151 | SymPoly:Inv:Rev | DiagCol1 | A005408 | -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 -51 | -| 152 | SymPoly:Inv:Rev | DiagCol2 | A162395 | 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 | -| 153 | SymPoly:Inv:Rev | Poly | missing | 1 1 1 1 0 1 1 -1 -1 1 1 0 -1 -2 1 1 3 7 1 -3 1 1 8 23 22 5 -4 1 1 15 47 61 45 11 -5 1 1 24 79 118 | -| 154 | SymPoly:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | -| 155 | SymPoly:Inv:Rev | PolyRow2 | A165900 | 1 -1 -1 1 5 11 19 29 41 55 71 89 109 131 155 181 209 239 271 305 341 379 419 461 505 551 599 649 | -| 156 | SymPoly:Inv:Rev | PolyRow3 | A033954 | 1 0 7 22 45 76 115 162 217 280 351 430 517 612 715 826 945 1072 1207 1350 1501 1660 1827 2002 2185 | -| 157 | SymPoly:Inv:Rev | PolyCol2 | B073577 | 1 -1 -1 7 23 47 79 119 167 223 287 359 439 527 623 727 839 959 1087 1223 1367 1519 1679 1847 2023 | -| 158 | SymPoly:Inv:Rev | PolyCol3 | missing | 1 -2 1 22 61 118 193 286 397 526 673 838 1021 1222 1441 1678 1933 2206 2497 2806 3133 3478 3841 | -| 159 | SymPoly:Inv:Rev | PolyDiag | missing | 1 0 -1 22 117 356 835 1674 3017 5032 7911 11870 17149 24012 32747 43666 57105 73424 93007 116262 | \ No newline at end of file +| 41 | SymPoly:Alt | Triangle | A165675 | 1 1 -1 2 -3 1 6 -11 5 -1 24 -50 26 -7 1 120 -274 154 -47 9 -1 720 -1764 1044 -342 74 -11 1 5040 | +| 42 | SymPoly:Alt | Rev | A105954 | 1 -1 1 1 -3 2 -1 5 -11 6 1 -7 26 -50 24 -1 9 -47 154 -274 120 1 -11 74 -342 1044 -1764 720 -1 13 | +| 43 | SymPoly:Alt | Inv | missing | 1 -1 1 -5 3 1 8 -4 -5 1 112 -56 -61 7 1 -256 128 160 -16 -9 1 -5632 2816 3520 -352 -173 11 1 18432 | +| 44 | SymPoly:Alt | RevInv | missing | 1 1 -1 1 3 -5 1 -5 -4 8 1 7 -61 -56 112 1 -9 -16 160 128 -256 1 11 -173 -352 3520 2816 -5632 1 -13 | +| 45 | SymPoly:Alt | Acc | missing | 1 1 0 2 -1 0 6 -5 0 -1 24 -26 0 -7 -6 120 -154 0 -47 -38 -39 720 -1044 0 -342 -268 -279 -278 5040 | +| 46 | SymPoly:Alt | AccRev | missing | 1 -1 0 1 -2 0 -1 4 -7 -1 1 -6 20 -30 -6 -1 8 -39 115 -159 -39 1 -10 64 -278 766 -998 -278 -1 12 -95 | +| 47 | SymPoly:Alt | AntiDiag | missing | 1 1 2 -1 6 -3 24 -11 1 120 -50 5 720 -274 26 -1 5040 -1764 154 -7 40320 -13068 1044 -47 1 362880 | +| 48 | SymPoly:Alt | Diffx1 | missing | 1 1 -2 2 -6 3 6 -22 15 -4 24 -100 78 -28 5 120 -548 462 -188 45 -6 720 -3528 3132 -1368 370 -66 7 | +| 49 | SymPoly:Alt | RowSum | missing | 1 0 0 -1 -6 -39 -278 -2211 -19542 -190711 -2040606 -23781627 -300064094 -4077048063 -59369465814 | +| 50 | SymPoly:Alt | EvenSum | missing | 1 1 3 11 51 283 1839 13719 115675 1088459 11311047 128686087 1591143315 21247786347 304787011135 | +| 51 | SymPoly:Alt | OddSum | missing | 0 -1 -3 -12 -57 -322 -2117 -15930 -135217 -1279170 -13351653 -152467714 -1891207409 -25324834410 | +| 52 | SymPoly:Alt | AltSum | A093345 | 1 2 6 23 108 605 3956 29649 250892 2367629 24662700 281153801 3482350724 46572620757 668943488084 | +| 53 | SymPoly:Alt | DiagSum | missing | 1 1 1 3 14 75 471 3423 28250 260991 2668807 29927931 365222310 4818671403 68353290631 1037408256255 | +| 54 | SymPoly:Alt | AccSum | missing | 1 1 1 0 -15 -158 -1491 -14502 -150391 -1677726 -20152827 -260147294 -3598046463 -53142445014 | +| 55 | SymPoly:Alt | AccRevSum | missing | 1 -1 -1 -5 -21 -115 -733 -5397 -45029 -420095 -4334445 -49013857 -602850853 -8013275931 | +| 56 | SymPoly:Alt | RowLcm | missing | 1 1 6 330 54600 178489080 7911786960 839338855795440 11191805812769662080 | +| 57 | SymPoly:Alt | RowMax | B000254 | 1 1 3 11 50 274 1764 13068 109584 1026576 10628640 120543840 1486442880 19802759040 283465647360 | +| 58 | SymPoly:Alt | ColMiddle | missing | 1 1 -3 -11 26 154 -342 -2754 5944 60216 -127860 -1557660 3272688 46536624 -97053936 -1576890000 | +| 59 | SymPoly:Alt | CentralE | missing | 1 -3 26 -342 5944 -127860 3272688 -97053936 3270729600 -123418922400 5154170774400 -235977273544320 | +| 60 | SymPoly:Alt | CentralO | missing | 1 -11 154 -2754 60216 -1557660 46536624 -1576890000 59753750400 -2503748556000 114942011990400 | +| 61 | SymPoly:Alt | ColLeft | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 62 | SymPoly:Alt | BinConv | missing | 1 0 -3 -13 -47 -136 1 5935 88481 1060568 11963541 131894883 1423461073 14655258656 132538911961 | +| 63 | SymPoly:Alt | InvBinConv | missing | 1 -2 9 -55 409 -3546 34981 -386163 4711281 -62903242 911810321 -14254347735 238977876457 | +| 64 | SymPoly:Alt | TransNat0 | A002467 | 0 -1 -1 -4 -15 -76 -455 -3186 -25487 -229384 -2293839 -25232230 -302786759 -3936227868 -55107190151 | +| 65 | SymPoly:Alt | TransNat1 | missing | 1 -1 -1 -5 -21 -115 -733 -5397 -45029 -420095 -4334445 -49013857 -602850853 -8013275931 | +| 66 | SymPoly:Alt | TransSqrs | missing | 0 -1 1 0 7 38 279 2210 19543 190710 2040607 23781626 300064095 4077048062 59369465815 922613088258 | +| 67 | SymPoly:Alt | PosHalf | missing | 1 1 3 13 75 517 3875 26301 29531 -5729003 -227270157 -7253745395 -223673532181 -7005519261531 | +| 68 | SymPoly:Alt | NegHalf | missing | 1 -3 15 -103 903 -9663 122287 -1787991 29671479 -551104591 11328415263 -255351604647 6263220826471 | +| 69 | SymPoly:Alt | DiagRow1 | A005408 | 1 -3 5 -7 9 -11 13 -15 17 -19 21 -23 25 -27 29 -31 33 -35 37 -39 41 -43 45 -47 49 -51 53 -55 57 -59 | +| 70 | SymPoly:Alt | DiagRow2 | A080663 | 2 -11 26 -47 74 -107 146 -191 242 -299 362 -431 506 -587 674 -767 866 -971 1082 -1199 1322 -1451 | +| 71 | SymPoly:Alt | DiagRow3 | A165676 | 6 -50 154 -342 638 -1066 1650 -2414 3382 -4578 6026 -7750 9774 -12122 14818 -17886 21350 -25234 | +| 72 | SymPoly:Alt | DiagCol1 | B000254 | -1 -3 -11 -50 -274 -1764 -13068 -109584 -1026576 -10628640 -120543840 -1486442880 -19802759040 | +| 73 | SymPoly:Alt | DiagCol2 | B001705 | 1 5 26 154 1044 8028 69264 663696 6999840 80627040 1007441280 13575738240 196287356160 | +| 74 | SymPoly:Alt | DiagCol3 | A001711 | -1 -7 -47 -342 -2754 -24552 -241128 -2592720 -30334320 -383970240 -5231113920 -76349105280 | +| 75 | SymPoly:Alt | Poly | missing | 1 1 1 2 0 1 6 0 -1 1 24 -1 0 -2 1 120 -6 -4 2 -3 1 720 -39 -12 -9 6 -4 1 5040 -278 -76 0 -22 12 -5 | +| 76 | SymPoly:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 77 | SymPoly:Alt | PolyRow2 | A279019 | 2 0 0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 | +| 78 | SymPoly:Alt | PolyRow3 | missing | 6 -1 -4 -9 -22 -49 -96 -169 -274 -417 -604 -841 -1134 -1489 -1912 -2409 -2986 -3649 -4404 -5257 | +| 79 | SymPoly:Alt | PolyCol2 | missing | 1 -1 0 -4 -12 -76 -472 -3528 -29536 -276832 -2866368 -32512576 -400954624 -5342062848 -76474349056 | +| 80 | SymPoly:Alt | PolyCol3 | missing | 1 -2 2 -9 0 -99 -360 -3303 -25344 -239139 -2431728 -27329535 -333808776 -4411360683 -62688272328 | +| 81 | SymPoly:Alt | PolyDiag | missing | 1 0 0 -9 48 -775 10872 -198303 4034816 -93836151 2429006400 -69522690127 2177588261376 | +| 82 | SymPoly:Rev | Triangle | A105954 | 1 1 1 1 3 2 1 5 11 6 1 7 26 50 24 1 9 47 154 274 120 1 11 74 342 1044 1764 720 1 13 107 638 2754 | +| 83 | SymPoly:Rev | InvRev | missing | 1 -1 1 1 -3 1 0 4 -5 1 0 0 9 -7 1 0 0 0 16 -9 1 0 0 0 0 25 -11 1 0 0 0 0 0 36 -13 1 0 0 0 0 0 0 49 | +| 84 | SymPoly:Rev | Acc | missing | 1 1 2 1 4 6 1 6 17 23 1 8 34 84 108 1 10 57 211 485 605 1 12 86 428 1472 3236 3956 1 14 121 759 | +| 85 | SymPoly:Rev | AccRev | missing | 1 1 2 2 5 6 6 17 22 23 24 74 100 107 108 120 394 548 595 604 605 720 2484 3528 3870 3944 3955 3956 | +| 86 | SymPoly:Rev | AntiDiag | missing | 1 1 1 1 1 3 1 5 2 1 7 11 1 9 26 6 1 11 47 50 1 13 74 154 24 1 15 107 342 274 1 17 146 638 1044 120 | +| 87 | SymPoly:Rev | Diffx1 | missing | 1 1 2 1 6 6 1 10 33 24 1 14 78 200 120 1 18 141 616 1370 720 1 22 222 1368 5220 10584 5040 1 26 321 | +| 88 | SymPoly:Rev | RowSum | A093345 | 1 2 6 23 108 605 3956 29649 250892 2367629 24662700 281153801 3482350724 46572620757 668943488084 | +| 89 | SymPoly:Rev | EvenSum | missing | 1 1 3 12 51 322 1839 15930 115675 1279170 11311047 152467714 1591143315 25324834410 304787011135 | +| 90 | SymPoly:Rev | OddSum | missing | 0 1 3 11 57 283 2117 13719 135217 1088459 13351653 128686087 1891207409 21247786347 364156476949 | +| 91 | SymPoly:Rev | AltSum | missing | 1 0 0 1 -6 39 -278 2211 -19542 190711 -2040606 23781627 -300064094 4077048063 -59369465814 | +| 92 | SymPoly:Rev | DiagSum | missing | 1 1 2 4 8 19 42 109 266 739 1966 5795 16606 51631 157814 515203 1666726 5691287 19366846 68939899 | +| 93 | SymPoly:Rev | AccSum | missing | 1 3 11 47 235 1369 9191 70207 602755 5753597 60495199 695039491 8665989227 116564043985 | +| 94 | SymPoly:Rev | AccRevSum | missing | 1 3 13 68 413 2866 22457 196634 1906165 20290322 235457201 2959959922 40086920909 582025267370 | +| 95 | SymPoly:Rev | RowLcm | missing | 1 1 6 330 54600 178489080 7911786960 839338855795440 11191805812769662080 | +| 96 | SymPoly:Rev | RowMax | B000254 | 1 1 3 11 50 274 1764 13068 109584 1026576 10628640 120543840 1486442880 19802759040 283465647360 | +| 97 | SymPoly:Rev | ColMiddle | missing | 1 1 3 5 26 47 342 638 5944 11274 127860 245004 3272688 6314664 97053936 188204400 3270729600 | +| 98 | SymPoly:Rev | CentralE | missing | 1 3 26 342 5944 127860 3272688 97053936 3270729600 123418922400 5154170774400 235977273544320 | +| 99 | SymPoly:Rev | CentralO | A058806 | 1 5 47 638 11274 245004 6314664 188204400 6366517200 240947474400 10086271796160 462688566802560 | +| 100 | SymPoly:Rev | ColRight | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 101 | SymPoly:Rev | BinConv | missing | 1 2 9 55 409 3546 34981 386163 4711281 62903242 911810321 14254347735 238977876457 4275994190482 | +| 102 | SymPoly:Rev | InvBinConv | missing | 1 0 -3 -13 -47 -136 1 5935 88481 1060568 11963541 131894883 1423461073 14655258656 132538911961 | +| 103 | SymPoly:Rev | TransNat0 | missing | 0 1 7 45 305 2261 18501 166985 1655273 17922693 210794501 2678806121 36604570185 535452646613 | +| 104 | SymPoly:Rev | TransNat1 | missing | 1 3 13 68 413 2866 22457 196634 1906165 20290322 235457201 2959959922 40086920909 582025267370 | +| 105 | SymPoly:Rev | TransSqrs | missing | 0 1 11 103 945 8967 90109 968355 11162697 137997271 1826219517 25806039699 388296685225 | +| 106 | SymPoly:Rev | PosHalf | missing | 1 3 12 56 300 1836 12760 99912 873696 8458976 89952192 1043100480 13107099904 177471036672 | +| 107 | SymPoly:Rev | NegHalf | missing | 1 -1 0 -4 -12 -76 -472 -3528 -29536 -276832 -2866368 -32512576 -400954624 -5342062848 -76474349056 | +| 108 | SymPoly:Rev | DiagRow1 | B000254 | 1 3 11 50 274 1764 13068 109584 1026576 10628640 120543840 1486442880 19802759040 283465647360 | +| 109 | SymPoly:Rev | DiagRow2 | B001705 | 1 5 26 154 1044 8028 69264 663696 6999840 80627040 1007441280 13575738240 196287356160 | +| 110 | SymPoly:Rev | DiagRow3 | A001711 | 1 7 47 342 2754 24552 241128 2592720 30334320 383970240 5231113920 76349105280 1188825724800 | +| 111 | SymPoly:Rev | DiagCol1 | A005408 | 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 | +| 112 | SymPoly:Rev | DiagCol2 | A080663 | 2 11 26 47 74 107 146 191 242 299 362 431 506 587 674 767 866 971 1082 1199 1322 1451 1586 1727 | +| 113 | SymPoly:Rev | DiagCol3 | A165676 | 6 50 154 342 638 1066 1650 2414 3382 4578 6026 7750 9774 12122 14818 17886 21350 25234 29562 34358 | +| 114 | SymPoly:Rev | Poly | missing | 1 1 1 1 2 1 1 6 3 1 1 23 15 4 1 1 108 103 28 5 1 1 605 903 277 45 6 1 1 3956 9663 3550 581 66 7 1 1 | +| 115 | SymPoly:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 116 | SymPoly:Rev | PolyRow2 | B000384 | 1 6 15 28 45 66 91 120 153 190 231 276 325 378 435 496 561 630 703 780 861 946 1035 1128 1225 1326 | +| 117 | SymPoly:Rev | PolyRow3 | missing | 1 23 103 277 581 1051 1723 2633 3817 5311 7151 9373 12013 15107 18691 22801 27473 32743 38647 45221 | +| 118 | SymPoly:Rev | PolyCol2 | missing | 1 3 15 103 903 9663 122287 1787991 29671479 551104591 11328415263 255351604647 6263220826471 | +| 119 | SymPoly:Rev | PolyCol3 | missing | 1 4 28 277 3550 55963 1048030 22741159 561170926 15520809643 475592544598 15993601630975 | +| 120 | SymPoly:Rev | PolyDiag | missing | 1 2 15 277 9789 566721 48738811 5829856971 925258217721 188084091286261 47643226823678391 | +| 121 | SymPoly:Inv | Triangle | missing | 1 -1 1 1 -3 1 0 4 -5 1 0 0 9 -7 1 0 0 0 16 -9 1 0 0 0 0 25 -11 1 0 0 0 0 0 36 -13 1 0 0 0 0 0 0 49 | +| 122 | SymPoly:Inv | Rev | missing | 1 1 -1 1 -3 1 1 -5 4 0 1 -7 9 0 0 1 -9 16 0 0 0 1 -11 25 0 0 0 0 1 -13 36 0 0 0 0 0 1 -15 49 0 0 0 | +| 123 | SymPoly:Inv | RevInv | A105954 | 1 1 1 1 3 2 1 5 11 6 1 7 26 50 24 1 9 47 154 274 120 1 11 74 342 1044 1764 720 1 13 107 638 2754 | +| 124 | SymPoly:Inv | Acc | missing | 1 -1 0 1 -2 -1 0 4 -1 0 0 0 9 2 3 0 0 0 16 7 8 0 0 0 0 25 14 15 0 0 0 0 0 36 23 24 0 0 0 0 0 0 49 | +| 125 | SymPoly:Inv | AccRev | missing | 1 1 0 1 -2 -1 1 -4 0 0 1 -6 3 3 3 1 -8 8 8 8 8 1 -10 15 15 15 15 15 1 -12 24 24 24 24 24 24 1 -14 | +| 126 | SymPoly:Inv | AntiDiag | missing | 1 -1 1 1 0 -3 0 4 1 0 0 -5 0 0 9 1 0 0 0 -7 0 0 0 16 1 0 0 0 0 -9 0 0 0 0 25 1 0 0 0 0 0 -11 0 0 0 | +| 127 | SymPoly:Inv | Diffx1 | missing | 1 -1 2 1 -6 3 0 8 -15 4 0 0 27 -28 5 0 0 0 64 -45 6 0 0 0 0 125 -66 7 0 0 0 0 0 216 -91 8 0 0 0 0 0 | +| 128 | SymPoly:Inv | RowSum | A067998 | 1 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 | +| 129 | SymPoly:Inv | EvenSum | missing | 1 -1 2 -5 10 -9 26 -13 50 -17 82 -21 122 -25 170 -29 226 -33 290 -37 362 -41 442 -45 530 -49 626 | +| 130 | SymPoly:Inv | OddSum | missing | 0 1 -3 5 -7 17 -11 37 -15 65 -19 101 -23 145 -27 197 -31 257 -35 325 -39 401 -43 485 -47 577 -51 | +| 131 | SymPoly:Inv | AltSum | A002522 | 1 -2 5 -10 17 -26 37 -50 65 -82 101 -122 145 -170 197 -226 257 -290 325 -362 401 -442 485 -530 577 | +| 132 | SymPoly:Inv | DiagSum | missing | 1 -1 2 -3 5 -5 10 -7 17 -9 26 -11 37 -13 50 -15 65 -17 82 -19 101 -21 122 -23 145 -25 170 -27 197 | +| 133 | SymPoly:Inv | AccSum | missing | 1 -1 -2 3 14 31 54 83 118 159 206 259 318 383 454 531 614 703 798 899 1006 1119 1238 1363 1494 1631 | +| 134 | SymPoly:Inv | AccRevSum | missing | 1 1 -2 -3 4 25 66 133 232 369 550 781 1068 1417 1834 2325 2896 3553 4302 5149 6100 7161 8338 9637 | +| 135 | SymPoly:Inv | RowLcm | B099721 | 1 1 3 20 63 144 275 468 735 1088 1539 2100 2783 3600 4563 5684 6975 8448 10115 11988 14079 16400 | +| 136 | SymPoly:Inv | RowGcd | A103755 | 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 137 | SymPoly:Inv | RowMax | missing | 1 1 3 5 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 | +| 138 | SymPoly:Inv | ColMiddle | missing | 1 -1 -3 4 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 139 | SymPoly:Inv | CentralE | B010054 | 1 -3 9 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 140 | SymPoly:Inv | CentralO | A274981 | -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 141 | SymPoly:Inv | ColLeft | A014060 | 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 142 | SymPoly:Inv | BinConv | missing | 1 0 -4 -2 27 116 310 666 1253 2152 3456 5270 7711 10908 15002 20146 26505 34256 43588 54702 67811 | +| 143 | SymPoly:Inv | InvBinConv | missing | 1 2 8 28 83 206 442 848 1493 2458 3836 5732 8263 11558 15758 21016 27497 35378 44848 56108 69371 | +| 144 | SymPoly:Inv | TransNat0 | missing | 0 1 -1 -3 1 17 51 109 197 321 487 701 969 1297 1691 2157 2701 3329 4047 4861 5777 6801 7939 9197 | +| 145 | SymPoly:Inv | TransNat1 | missing | 1 1 -2 -3 4 25 66 133 232 369 550 781 1068 1417 1834 2325 2896 3553 4302 5149 6100 7161 8338 9637 | +| 146 | SymPoly:Inv | TransSqrs | missing | 0 1 1 -7 -11 25 161 481 1093 2129 3745 6121 9461 13993 19969 27665 37381 49441 64193 82009 103285 | +| 147 | SymPoly:Inv | PosHalf | B073577 | 1 -1 -1 7 23 47 79 119 167 223 287 359 439 527 623 727 839 959 1087 1223 1367 1519 1679 1847 2023 | +| 148 | SymPoly:Inv | NegHalf | A164897 | 1 3 11 27 51 83 123 171 227 291 363 443 531 627 731 843 963 1091 1227 1371 1523 1683 1851 2027 2211 | +| 149 | SymPoly:Inv | DiagRow1 | A005408 | -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 -51 | +| 150 | SymPoly:Inv | DiagRow2 | A162395 | 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 | +| 151 | SymPoly:Inv | DiagCol1 | B000007 | 1 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 152 | SymPoly:Inv | DiagCol2 | B000007 | 1 -5 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 153 | SymPoly:Inv | DiagCol3 | B000007 | 1 -7 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 154 | SymPoly:Inv | Poly | missing | 1 -1 1 1 0 1 0 -1 1 1 0 0 -1 2 1 0 3 -4 1 3 1 0 8 -4 -6 5 4 1 0 15 16 -27 0 11 5 1 0 24 112 -54 -48 | +| 155 | SymPoly:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 156 | SymPoly:Inv | PolyRow2 | A165900 | 1 -1 -1 1 5 11 19 29 41 55 71 89 109 131 155 181 209 239 271 305 341 379 419 461 505 551 599 649 | +| 157 | SymPoly:Inv | PolyRow3 | missing | 0 0 -4 -6 0 20 60 126 224 360 540 770 1056 1404 1820 2310 2880 3536 4284 5130 6080 7140 8316 9614 | +| 158 | SymPoly:Inv | PolyCol2 | missing | 1 1 -1 -4 -4 16 112 448 1472 4352 12032 31744 80896 200704 487424 1163264 2736128 6356992 14614528 | +| 159 | SymPoly:Inv | PolyCol3 | missing | 1 2 1 -6 -27 -54 81 1458 9477 48114 216513 905418 3601989 13817466 51549777 188130114 674398629 | +| 160 | SymPoly:Inv | PolyDiag | A053506 | 1 0 -1 -6 -48 -500 -6480 -100842 -1835008 -38263752 -900000000 -23579476910 -681091006464 | +| 161 | SymPoly:Inv:Rev | Triangle | missing | 1 1 -1 1 -3 1 1 -5 4 0 1 -7 9 0 0 1 -9 16 0 0 0 1 -11 25 0 0 0 0 1 -13 36 0 0 0 0 0 1 -15 49 0 0 0 | +| 162 | SymPoly:Inv:Rev | Rev | missing | 1 -1 1 1 -3 1 0 4 -5 1 0 0 9 -7 1 0 0 0 16 -9 1 0 0 0 0 25 -11 1 0 0 0 0 0 36 -13 1 0 0 0 0 0 0 49 | +| 163 | SymPoly:Inv:Rev | InvRev | A165675 | 1 1 1 2 3 1 6 11 5 1 24 50 26 7 1 120 274 154 47 9 1 720 1764 1044 342 74 11 1 5040 13068 8028 2754 | +| 164 | SymPoly:Inv:Rev | Acc | missing | 1 1 0 1 -2 -1 1 -4 0 0 1 -6 3 3 3 1 -8 8 8 8 8 1 -10 15 15 15 15 15 1 -12 24 24 24 24 24 24 1 -14 | +| 165 | SymPoly:Inv:Rev | AccRev | missing | 1 -1 0 1 -2 -1 0 4 -1 0 0 0 9 2 3 0 0 0 16 7 8 0 0 0 0 25 14 15 0 0 0 0 0 36 23 24 0 0 0 0 0 0 49 | +| 166 | SymPoly:Inv:Rev | AntiDiag | missing | 1 1 1 -1 1 -3 1 -5 1 1 -7 4 1 -9 9 0 1 -11 16 0 1 -13 25 0 0 1 -15 36 0 0 1 -17 49 0 0 0 1 -19 64 0 | +| 167 | SymPoly:Inv:Rev | Diffx1 | missing | 1 1 -2 1 -6 3 1 -10 12 0 1 -14 27 0 0 1 -18 48 0 0 0 1 -22 75 0 0 0 0 1 -26 108 0 0 0 0 0 1 -30 147 | +| 168 | SymPoly:Inv:Rev | RowSum | A067998 | 1 0 -1 0 3 8 15 24 35 48 63 80 99 120 143 168 195 224 255 288 323 360 399 440 483 528 575 624 675 | +| 169 | SymPoly:Inv:Rev | EvenSum | A002522 | 1 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 | +| 170 | SymPoly:Inv:Rev | OddSum | A004273 | 0 -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 | +| 171 | SymPoly:Inv:Rev | AltSum | A002522 | 1 2 5 10 17 26 37 50 65 82 101 122 145 170 197 226 257 290 325 362 401 442 485 530 577 626 677 730 | +| 172 | SymPoly:Inv:Rev | DiagSum | missing | 1 1 0 -2 -3 -2 1 6 13 22 33 46 61 78 97 118 141 166 193 222 253 286 321 358 397 438 481 526 573 622 | +| 173 | SymPoly:Inv:Rev | AccSum | missing | 1 1 -2 -3 4 25 66 133 232 369 550 781 1068 1417 1834 2325 2896 3553 4302 5149 6100 7161 8338 9637 | +| 174 | SymPoly:Inv:Rev | AccRevSum | missing | 1 -1 -2 3 14 31 54 83 118 159 206 259 318 383 454 531 614 703 798 899 1006 1119 1238 1363 1494 1631 | +| 175 | SymPoly:Inv:Rev | RowLcm | B099721 | 1 1 3 20 63 144 275 468 735 1088 1539 2100 2783 3600 4563 5684 6975 8448 10115 11988 14079 16400 | +| 176 | SymPoly:Inv:Rev | RowGcd | A103755 | 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 | +| 177 | SymPoly:Inv:Rev | RowMax | missing | 1 1 3 5 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 | +| 178 | SymPoly:Inv:Rev | ColMiddle | missing | 1 1 -3 -5 9 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 179 | SymPoly:Inv:Rev | CentralE | B010054 | 1 -3 9 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 180 | SymPoly:Inv:Rev | CentralO | B010054 | 1 -5 16 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 181 | SymPoly:Inv:Rev | ColRight | A014060 | 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 182 | SymPoly:Inv:Rev | BinConv | missing | 1 0 -4 -2 27 116 310 666 1253 2152 3456 5270 7711 10908 15002 20146 26505 34256 43588 54702 67811 | +| 183 | SymPoly:Inv:Rev | InvBinConv | missing | 1 -2 8 -28 83 -206 442 -848 1493 -2458 3836 -5732 8263 -11558 15758 -21016 27497 -35378 44848 | +| 184 | SymPoly:Inv:Rev | TransNat0 | B142463 | 0 -1 -1 3 11 23 39 59 83 111 143 179 219 263 311 363 419 479 543 611 683 759 839 923 1011 1103 1199 | +| 185 | SymPoly:Inv:Rev | TransNat1 | missing | 1 -1 -2 3 14 31 54 83 118 159 206 259 318 383 454 531 614 703 798 899 1006 1119 1238 1363 1494 1631 | +| 186 | SymPoly:Inv:Rev | TransSqrs | B082108 | 0 -1 1 11 29 55 89 131 181 239 305 379 461 551 649 755 869 991 1121 1259 1405 1559 1721 1891 2069 | +| 187 | SymPoly:Inv:Rev | PosHalf | missing | 1 1 -1 -4 -4 16 112 448 1472 4352 12032 31744 80896 200704 487424 1163264 2736128 6356992 14614528 | +| 188 | SymPoly:Inv:Rev | NegHalf | missing | 1 -3 11 -36 108 -304 816 -2112 5312 -13056 31488 -74752 175104 -405504 929792 -2113536 4767744 | +| 189 | SymPoly:Inv:Rev | DiagRow1 | B000007 | 1 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 190 | SymPoly:Inv:Rev | DiagRow2 | B000007 | 1 -5 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 191 | SymPoly:Inv:Rev | DiagRow3 | B000007 | 1 -7 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +| 192 | SymPoly:Inv:Rev | DiagCol1 | A005408 | -1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41 -43 -45 -47 -49 -51 | +| 193 | SymPoly:Inv:Rev | DiagCol2 | A162395 | 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 | +| 194 | SymPoly:Inv:Rev | Poly | missing | 1 1 1 1 0 1 1 -1 -1 1 1 0 -1 -2 1 1 3 7 1 -3 1 1 8 23 22 5 -4 1 1 15 47 61 45 11 -5 1 1 24 79 118 | +| 195 | SymPoly:Inv:Rev | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 196 | SymPoly:Inv:Rev | PolyRow2 | A165900 | 1 -1 -1 1 5 11 19 29 41 55 71 89 109 131 155 181 209 239 271 305 341 379 419 461 505 551 599 649 | +| 197 | SymPoly:Inv:Rev | PolyRow3 | A033954 | 1 0 7 22 45 76 115 162 217 280 351 430 517 612 715 826 945 1072 1207 1350 1501 1660 1827 2002 2185 | +| 198 | SymPoly:Inv:Rev | PolyCol2 | B073577 | 1 -1 -1 7 23 47 79 119 167 223 287 359 439 527 623 727 839 959 1087 1223 1367 1519 1679 1847 2023 | +| 199 | SymPoly:Inv:Rev | PolyCol3 | missing | 1 -2 1 22 61 118 193 286 397 526 673 838 1021 1222 1441 1678 1933 2206 2497 2806 3133 3478 3841 | +| 200 | SymPoly:Inv:Rev | PolyDiag | missing | 1 0 -1 22 117 356 835 1674 3017 5032 7911 11870 17149 24012 32747 43666 57105 73424 93007 116262 | \ No newline at end of file diff --git a/data/md/TernaryTrees.md b/data/md/TernaryTrees.md index ef7fe0d..079068c 100644 --- a/data/md/TernaryTrees.md +++ b/data/md/TernaryTrees.md @@ -1,78 +1,117 @@ -| | triangle | trait | anum | seq | -|---:|:-----------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | TernaryTrees:Std | Triangle | A355172 | 1 0 1 0 1 3 0 1 5 12 0 1 7 25 55 0 1 9 42 130 273 0 1 11 63 245 700 1428 0 1 13 88 408 1428 3876 | -| 1 | TernaryTrees:Std | Rev | missing | 1 1 0 3 1 0 12 5 1 0 55 25 7 1 0 273 130 42 9 1 0 1428 700 245 63 11 1 0 7752 3876 1428 408 88 13 1 | -| 2 | TernaryTrees:Std | Acc | missing | 1 0 1 0 1 4 0 1 6 18 0 1 8 33 88 0 1 10 52 182 455 0 1 12 75 320 1020 2448 0 1 14 102 510 1938 5814 | -| 3 | TernaryTrees:Std | AccRev | missing | 1 1 1 3 4 4 12 17 18 18 55 80 87 88 88 273 403 445 454 455 455 1428 2128 2373 2436 2447 2448 2448 | -| 4 | TernaryTrees:Std | AntiDiag | missing | 1 0 0 1 0 1 0 1 3 0 1 5 0 1 7 12 0 1 9 25 0 1 11 42 55 0 1 13 63 130 0 1 15 88 245 273 0 1 17 117 | -| 5 | TernaryTrees:Std | Diffx1 | missing | 1 0 2 0 2 9 0 2 15 48 0 2 21 100 275 0 2 27 168 650 1638 0 2 33 252 1225 4200 9996 0 2 39 352 2040 | -| 6 | TernaryTrees:Std | RowSum | A006629 | 1 1 4 18 88 455 2448 13566 76912 444015 2601300 15426840 92431584 558685348 3402497504 20858916870 | -| 7 | TernaryTrees:Std | EvenSum | missing | 1 0 3 5 62 139 1684 4297 52284 143366 1755839 5040716 62096408 184034460 2278156640 6911492673 | -| 8 | TernaryTrees:Std | OddSum | missing | 0 1 1 13 26 316 764 9269 24628 300649 845461 10386124 30335176 374650888 1124340864 13947424197 | -| 9 | TernaryTrees:Std | AltSum | missing | 1 -1 2 -8 36 -177 920 -4972 27656 -157283 910378 -5345408 31761232 -190616428 1153815776 | -| 10 | TernaryTrees:Std | DiagSum | missing | 1 0 1 1 4 6 20 35 109 207 622 1243 3653 7560 21883 46461 133004 287970 817432 1797476 5068346 | -| 11 | TernaryTrees:Std | AccSum | B102893 | 1 1 5 25 130 700 3876 21945 126500 740025 4382625 26225628 158331880 963250600 5899491640 | -| 12 | TernaryTrees:Std | AccRevSum | missing | 1 2 11 65 398 2485 15708 100149 642620 4144140 26832975 174323292 1135710296 7417029620 48540468424 | -| 13 | TernaryTrees:Std | RowLcm | missing | 1 1 3 60 1925 8190 8246700 7759752 413377965 135616981500 152499911850 612145495962000 | -| 14 | TernaryTrees:Std | RowGcd | A349509 | 1 1 3 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 | -| 15 | TernaryTrees:Std | RowMax | A001764 | 1 1 3 12 55 273 1428 7752 43263 246675 1430715 8414640 50067108 300830572 1822766520 11124755664 | -| 16 | TernaryTrees:Std | ColMiddle | missing | 1 0 1 1 7 9 63 88 627 910 6578 9750 71253 106981 788392 1193808 8855691 13489164 100591491 | -| 17 | TernaryTrees:Std | CentralE | missing | 1 1 7 63 627 6578 71253 788392 8855691 100591491 1152499502 13294840650 154215056385 1797023139408 | -| 18 | TernaryTrees:Std | CentralO | missing | 0 1 9 88 910 9750 106981 1193808 13489164 153883455 1768786250 20455114680 237739812414 | -| 19 | TernaryTrees:Std | ColRight | A001764 | 1 1 3 12 55 273 1428 7752 43263 246675 1430715 8414640 50067108 300830572 1822766520 11124755664 | -| 20 | TernaryTrees:Std | BinConv | missing | 1 1 5 30 201 1438 10734 82512 647945 5170710 41782726 341013236 2805832506 23241121660 193591773704 | -| 21 | TernaryTrees:Std | InvBinConv | A246434 | 1 1 1 0 -7 -42 -198 -858 -3575 -14586 -58786 -235144 -936054 -3714500 -14709420 -58169070 | -| 22 | TernaryTrees:Std | TransNat0 | missing | 0 1 7 47 310 2030 13260 86583 565708 3700125 24231675 158896452 1043278712 6858344272 45137970920 | -| 23 | TernaryTrees:Std | TransNat1 | missing | 1 2 11 65 398 2485 15708 100149 642620 4144140 26832975 174323292 1135710296 7417029620 48540468424 | -| 24 | TernaryTrees:Std | TransSqrs | missing | 0 1 13 129 1134 9320 73440 562457 4221052 31202145 227981325 1650553212 11861686488 84727522776 | -| 25 | TernaryTrees:Std | PosHalf | missing | 1 1 5 26 141 789 4520 26368 156053 934451 5650213 34445894 211475644 1306245628 8111488952 | -| 26 | TernaryTrees:Std | NegHalf | missing | 1 1 1 6 25 125 648 3504 19489 110835 641505 3766530 22378956 134302876 812914520 4956949440 | -| 27 | TernaryTrees:Std | DiagRow1 | B102893 | 0 1 5 25 130 700 3876 21945 126500 740025 4382625 26225628 158331880 963250600 5899491640 | -| 28 | TernaryTrees:Std | DiagRow2 | B102594 | 0 1 7 42 245 1428 8379 49588 296010 1781325 10798788 65900296 404565252 2496994136 15486165555 | -| 29 | TernaryTrees:Std | DiagRow3 | A230547 | 0 1 9 63 408 2565 15939 98670 610740 3786588 23535820 146710476 917263152 5752004349 36174046743 | -| 30 | TernaryTrees:Std | DiagCol2 | A081874 | 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 | -| 31 | TernaryTrees:Std | DiagCol3 | B071355 | 12 25 42 63 88 117 150 187 228 273 322 375 432 493 558 627 700 777 858 943 1032 1125 1222 1323 1428 | -| 32 | TernaryTrees:Std | Poly | missing | 1 0 1 0 1 1 0 4 2 1 0 18 14 3 1 0 88 118 30 4 1 0 455 1110 372 52 5 1 0 2448 11190 5196 852 80 6 1 | -| 33 | TernaryTrees:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 34 | TernaryTrees:Std | PolyRow2 | A049451 | 0 4 14 30 52 80 114 154 200 252 310 374 444 520 602 690 784 884 990 1102 1220 1344 1474 1610 1752 | -| 35 | TernaryTrees:Std | PolyRow3 | missing | 0 18 118 372 852 1630 2778 4368 6472 9162 12510 16588 21468 27222 33922 41640 50448 60418 71622 | -| 36 | TernaryTrees:Std | PolyCol2 | missing | 1 2 14 118 1110 11190 118262 1293302 14513654 166200310 1934366710 22815703030 272122413046 | -| 37 | TernaryTrees:Std | PolyCol3 | missing | 1 3 30 372 5196 78087 1232760 20161776 338627928 5806446033 101228109222 1788916572048 | -| 38 | TernaryTrees:Std | PolyDiag | missing | 1 1 14 372 15796 939855 72399498 6865123692 774137880008 101258263989207 15077791200638910 | -| 39 | TernaryTrees:Rev | Triangle | missing | 1 1 0 3 1 0 12 5 1 0 55 25 7 1 0 273 130 42 9 1 0 1428 700 245 63 11 1 0 7752 3876 1428 408 88 13 1 | -| 40 | TernaryTrees:Rev | Acc | missing | 1 1 1 3 4 4 12 17 18 18 55 80 87 88 88 273 403 445 454 455 455 1428 2128 2373 2436 2447 2448 2448 | -| 41 | TernaryTrees:Rev | AccRev | missing | 1 0 1 0 1 4 0 1 6 18 0 1 8 33 88 0 1 10 52 182 455 0 1 12 75 320 1020 2448 0 1 14 102 510 1938 5814 | -| 42 | TernaryTrees:Rev | AntiDiag | missing | 1 1 3 0 12 1 55 5 0 273 25 1 1428 130 7 0 7752 700 42 1 43263 3876 245 9 0 246675 21945 1428 63 1 | -| 43 | TernaryTrees:Rev | Diffx1 | missing | 1 1 0 3 2 0 12 10 3 0 55 50 21 4 0 273 260 126 36 5 0 1428 1400 735 252 55 6 0 7752 7752 4284 1632 | -| 44 | TernaryTrees:Rev | RowSum | A006629 | 1 1 4 18 88 455 2448 13566 76912 444015 2601300 15426840 92431584 558685348 3402497504 20858916870 | -| 45 | TernaryTrees:Rev | EvenSum | missing | 1 1 3 13 62 316 1684 9269 52284 300649 1755839 10386124 62096408 374650888 2278156640 13947424197 | -| 46 | TernaryTrees:Rev | OddSum | missing | 0 0 1 5 26 139 764 4297 24628 143366 845461 5040716 30335176 184034460 1124340864 6911492673 | -| 47 | TernaryTrees:Rev | AltSum | missing | 1 1 2 8 36 177 920 4972 27656 157283 910378 5345408 31761232 190616428 1153815776 7035931524 | -| 48 | TernaryTrees:Rev | DiagSum | missing | 1 1 3 13 60 299 1565 8495 47393 270112 1566013 9206907 54762322 328940548 1992536683 12157880057 | -| 49 | TernaryTrees:Rev | AccSum | missing | 1 2 11 65 398 2485 15708 100149 642620 4144140 26832975 174323292 1135710296 7417029620 48540468424 | -| 50 | TernaryTrees:Rev | AccRevSum | B102893 | 1 1 5 25 130 700 3876 21945 126500 740025 4382625 26225628 158331880 963250600 5899491640 | -| 51 | TernaryTrees:Rev | RowLcm | missing | 1 1 3 60 1925 8190 8246700 7759752 413377965 135616981500 152499911850 612145495962000 | -| 52 | TernaryTrees:Rev | RowGcd | A349509 | 1 1 3 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 | -| 53 | TernaryTrees:Rev | RowMax | A001764 | 1 1 3 12 55 273 1428 7752 43263 246675 1430715 8414640 50067108 300830572 1822766520 11124755664 | -| 54 | TernaryTrees:Rev | ColMiddle | missing | 1 1 1 5 7 42 63 408 627 4235 6578 45630 71253 503440 788392 5645904 8855691 64073529 100591491 | -| 55 | TernaryTrees:Rev | CentralE | missing | 1 1 7 63 627 6578 71253 788392 8855691 100591491 1152499502 13294840650 154215056385 1797023139408 | -| 56 | TernaryTrees:Rev | CentralO | missing | 1 5 42 408 4235 45630 503440 5645904 64073529 733734155 8461873420 98143227000 1143610476957 | -| 57 | TernaryTrees:Rev | ColLeft | A001764 | 1 1 3 12 55 273 1428 7752 43263 246675 1430715 8414640 50067108 300830572 1822766520 11124755664 | -| 58 | TernaryTrees:Rev | BinConv | missing | 1 1 5 30 201 1438 10734 82512 647945 5170710 41782726 341013236 2805832506 23241121660 193591773704 | -| 59 | TernaryTrees:Rev | InvBinConv | A246434 | 1 -1 1 0 -7 42 -198 858 -3575 14586 -58786 235144 -936054 3714500 -14709420 58169070 -229824855 | -| 60 | TernaryTrees:Rev | TransNat0 | B102594 | 0 0 1 7 42 245 1428 8379 49588 296010 1781325 10798788 65900296 404565252 2496994136 15486165555 | -| 61 | TernaryTrees:Rev | TransNat1 | B102893 | 1 1 5 25 130 700 3876 21945 126500 740025 4382625 26225628 158331880 963250600 5899491640 | -| 62 | TernaryTrees:Rev | TransSqrs | missing | 0 0 1 9 62 395 2448 15029 92092 565110 3477825 21478908 133145496 828395516 5172344996 32403825405 | -| 63 | TernaryTrees:Rev | PosHalf | missing | 1 2 14 118 1110 11190 118262 1293302 14513654 166200310 1934366710 22815703030 272122413046 | -| 64 | TernaryTrees:Rev | NegHalf | missing | 1 -2 10 -78 706 -6958 72450 -784014 8729698 -99362862 1150897602 -13521492942 160744835874 | -| 65 | TernaryTrees:Rev | DiagRow2 | A081874 | 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 | -| 66 | TernaryTrees:Rev | DiagRow3 | B071355 | 12 25 42 63 88 117 150 187 228 273 322 375 432 493 558 627 700 777 858 943 1032 1125 1222 1323 1428 | -| 67 | TernaryTrees:Rev | DiagCol1 | B102893 | 0 1 5 25 130 700 3876 21945 126500 740025 4382625 26225628 158331880 963250600 5899491640 | -| 68 | TernaryTrees:Rev | DiagCol2 | B102594 | 0 1 7 42 245 1428 8379 49588 296010 1781325 10798788 65900296 404565252 2496994136 15486165555 | -| 69 | TernaryTrees:Rev | DiagCol3 | A230547 | 0 1 9 63 408 2565 15939 98670 610740 3786588 23535820 146710476 917263152 5752004349 36174046743 | -| 70 | TernaryTrees:Rev | Poly | missing | 1 1 1 3 1 1 12 4 1 1 55 18 5 1 1 273 88 26 6 1 1 1428 455 141 36 7 1 1 7752 2448 789 220 48 8 1 1 | -| 71 | TernaryTrees:Rev | PolyRow2 | A009056 | 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 | -| 72 | TernaryTrees:Rev | PolyRow3 | B027691 | 12 18 26 36 48 62 78 96 116 138 162 188 216 246 278 312 348 386 426 468 512 558 606 656 708 762 818 | -| 73 | TernaryTrees:Rev | PolyCol2 | missing | 1 1 5 26 141 789 4520 26368 156053 934451 5650213 34445894 211475644 1306245628 8111488952 | -| 74 | TernaryTrees:Rev | PolyCol3 | A004319 | 1 1 6 36 220 1365 8568 54264 346104 2220075 14307150 92561040 600805296 3910797436 25518731280 | -| 75 | TernaryTrees:Rev | PolyDiag | missing | 1 1 5 36 331 3723 50088 792228 14499719 302615103 7108201965 185800892720 5352508635444 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:-----------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | TernaryTrees:Std | Triangle | A355172 | 1 0 1 0 1 3 0 1 5 12 0 1 7 25 55 0 1 9 42 130 273 0 1 11 63 245 700 1428 0 1 13 88 408 1428 3876 | +| 1 | TernaryTrees:Std | Rev | missing | 1 1 0 3 1 0 12 5 1 0 55 25 7 1 0 273 130 42 9 1 0 1428 700 245 63 11 1 0 7752 3876 1428 408 88 13 1 | +| 2 | TernaryTrees:Std | Acc | missing | 1 0 1 0 1 4 0 1 6 18 0 1 8 33 88 0 1 10 52 182 455 0 1 12 75 320 1020 2448 0 1 14 102 510 1938 5814 | +| 3 | TernaryTrees:Std | AccRev | missing | 1 1 1 3 4 4 12 17 18 18 55 80 87 88 88 273 403 445 454 455 455 1428 2128 2373 2436 2447 2448 2448 | +| 4 | TernaryTrees:Std | AntiDiag | missing | 1 0 0 1 0 1 0 1 3 0 1 5 0 1 7 12 0 1 9 25 0 1 11 42 55 0 1 13 63 130 0 1 15 88 245 273 0 1 17 117 | +| 5 | TernaryTrees:Std | Diffx1 | missing | 1 0 2 0 2 9 0 2 15 48 0 2 21 100 275 0 2 27 168 650 1638 0 2 33 252 1225 4200 9996 0 2 39 352 2040 | +| 6 | TernaryTrees:Std | RowSum | A006629 | 1 1 4 18 88 455 2448 13566 76912 444015 2601300 15426840 92431584 558685348 3402497504 20858916870 | +| 7 | TernaryTrees:Std | EvenSum | missing | 1 0 3 5 62 139 1684 4297 52284 143366 1755839 5040716 62096408 184034460 2278156640 6911492673 | +| 8 | TernaryTrees:Std | OddSum | missing | 0 1 1 13 26 316 764 9269 24628 300649 845461 10386124 30335176 374650888 1124340864 13947424197 | +| 9 | TernaryTrees:Std | AltSum | missing | 1 -1 2 -8 36 -177 920 -4972 27656 -157283 910378 -5345408 31761232 -190616428 1153815776 | +| 10 | TernaryTrees:Std | DiagSum | missing | 1 0 1 1 4 6 20 35 109 207 622 1243 3653 7560 21883 46461 133004 287970 817432 1797476 5068346 | +| 11 | TernaryTrees:Std | AccSum | B102893 | 1 1 5 25 130 700 3876 21945 126500 740025 4382625 26225628 158331880 963250600 5899491640 | +| 12 | TernaryTrees:Std | AccRevSum | missing | 1 2 11 65 398 2485 15708 100149 642620 4144140 26832975 174323292 1135710296 7417029620 48540468424 | +| 13 | TernaryTrees:Std | RowLcm | missing | 1 1 3 60 1925 8190 8246700 7759752 413377965 135616981500 152499911850 612145495962000 | +| 14 | TernaryTrees:Std | RowGcd | A349509 | 1 1 3 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 | +| 15 | TernaryTrees:Std | RowMax | A001764 | 1 1 3 12 55 273 1428 7752 43263 246675 1430715 8414640 50067108 300830572 1822766520 11124755664 | +| 16 | TernaryTrees:Std | ColMiddle | missing | 1 0 1 1 7 9 63 88 627 910 6578 9750 71253 106981 788392 1193808 8855691 13489164 100591491 | +| 17 | TernaryTrees:Std | CentralE | missing | 1 1 7 63 627 6578 71253 788392 8855691 100591491 1152499502 13294840650 154215056385 1797023139408 | +| 18 | TernaryTrees:Std | CentralO | missing | 0 1 9 88 910 9750 106981 1193808 13489164 153883455 1768786250 20455114680 237739812414 | +| 19 | TernaryTrees:Std | ColRight | A001764 | 1 1 3 12 55 273 1428 7752 43263 246675 1430715 8414640 50067108 300830572 1822766520 11124755664 | +| 20 | TernaryTrees:Std | BinConv | missing | 1 1 5 30 201 1438 10734 82512 647945 5170710 41782726 341013236 2805832506 23241121660 193591773704 | +| 21 | TernaryTrees:Std | InvBinConv | A246434 | 1 1 1 0 -7 -42 -198 -858 -3575 -14586 -58786 -235144 -936054 -3714500 -14709420 -58169070 | +| 22 | TernaryTrees:Std | TransNat0 | missing | 0 1 7 47 310 2030 13260 86583 565708 3700125 24231675 158896452 1043278712 6858344272 45137970920 | +| 23 | TernaryTrees:Std | TransNat1 | missing | 1 2 11 65 398 2485 15708 100149 642620 4144140 26832975 174323292 1135710296 7417029620 48540468424 | +| 24 | TernaryTrees:Std | TransSqrs | missing | 0 1 13 129 1134 9320 73440 562457 4221052 31202145 227981325 1650553212 11861686488 84727522776 | +| 25 | TernaryTrees:Std | PosHalf | missing | 1 1 5 26 141 789 4520 26368 156053 934451 5650213 34445894 211475644 1306245628 8111488952 | +| 26 | TernaryTrees:Std | NegHalf | missing | 1 1 1 6 25 125 648 3504 19489 110835 641505 3766530 22378956 134302876 812914520 4956949440 | +| 27 | TernaryTrees:Std | DiagRow1 | B102893 | 0 1 5 25 130 700 3876 21945 126500 740025 4382625 26225628 158331880 963250600 5899491640 | +| 28 | TernaryTrees:Std | DiagRow2 | B102594 | 0 1 7 42 245 1428 8379 49588 296010 1781325 10798788 65900296 404565252 2496994136 15486165555 | +| 29 | TernaryTrees:Std | DiagRow3 | A230547 | 0 1 9 63 408 2565 15939 98670 610740 3786588 23535820 146710476 917263152 5752004349 36174046743 | +| 30 | TernaryTrees:Std | DiagCol2 | A081874 | 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 | +| 31 | TernaryTrees:Std | DiagCol3 | B071355 | 12 25 42 63 88 117 150 187 228 273 322 375 432 493 558 627 700 777 858 943 1032 1125 1222 1323 1428 | +| 32 | TernaryTrees:Std | Poly | missing | 1 0 1 0 1 1 0 4 2 1 0 18 14 3 1 0 88 118 30 4 1 0 455 1110 372 52 5 1 0 2448 11190 5196 852 80 6 1 | +| 33 | TernaryTrees:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 34 | TernaryTrees:Std | PolyRow2 | A049451 | 0 4 14 30 52 80 114 154 200 252 310 374 444 520 602 690 784 884 990 1102 1220 1344 1474 1610 1752 | +| 35 | TernaryTrees:Std | PolyRow3 | missing | 0 18 118 372 852 1630 2778 4368 6472 9162 12510 16588 21468 27222 33922 41640 50448 60418 71622 | +| 36 | TernaryTrees:Std | PolyCol2 | missing | 1 2 14 118 1110 11190 118262 1293302 14513654 166200310 1934366710 22815703030 272122413046 | +| 37 | TernaryTrees:Std | PolyCol3 | missing | 1 3 30 372 5196 78087 1232760 20161776 338627928 5806446033 101228109222 1788916572048 | +| 38 | TernaryTrees:Std | PolyDiag | missing | 1 1 14 372 15796 939855 72399498 6865123692 774137880008 101258263989207 15077791200638910 | +| 39 | TernaryTrees:Alt | Triangle | A355172 | 1 0 -1 0 -1 3 0 -1 5 -12 0 -1 7 -25 55 0 -1 9 -42 130 -273 0 -1 11 -63 245 -700 1428 0 -1 13 -88 | +| 40 | TernaryTrees:Alt | Rev | missing | 1 -1 0 3 -1 0 -12 5 -1 0 55 -25 7 -1 0 -273 130 -42 9 -1 0 1428 -700 245 -63 11 -1 0 -7752 3876 | +| 41 | TernaryTrees:Alt | Acc | missing | 1 0 -1 0 -1 2 0 -1 4 -8 0 -1 6 -19 36 0 -1 8 -34 96 -177 0 -1 10 -53 192 -508 920 0 -1 12 -76 332 | +| 42 | TernaryTrees:Alt | AccRev | missing | 1 -1 -1 3 2 2 -12 -7 -8 -8 55 30 37 36 36 -273 -143 -185 -176 -177 -177 1428 728 973 910 921 920 | +| 43 | TernaryTrees:Alt | AntiDiag | missing | 1 0 0 -1 0 -1 0 -1 3 0 -1 5 0 -1 7 -12 0 -1 9 -25 0 -1 11 -42 55 0 -1 13 -63 130 0 -1 15 -88 245 | +| 44 | TernaryTrees:Alt | Diffx1 | missing | 1 0 -2 0 -2 9 0 -2 15 -48 0 -2 21 -100 275 0 -2 27 -168 650 -1638 0 -2 33 -252 1225 -4200 9996 0 -2 | +| 45 | TernaryTrees:Alt | RowSum | missing | 1 -1 2 -8 36 -177 920 -4972 27656 -157283 910378 -5345408 31761232 -190616428 1153815776 | +| 46 | TernaryTrees:Alt | EvenSum | missing | 1 0 3 5 62 139 1684 4297 52284 143366 1755839 5040716 62096408 184034460 2278156640 6911492673 | +| 47 | TernaryTrees:Alt | OddSum | missing | 0 -1 -1 -13 -26 -316 -764 -9269 -24628 -300649 -845461 -10386124 -30335176 -374650888 -1124340864 | +| 48 | TernaryTrees:Alt | AltSum | A006629 | 1 1 4 18 88 455 2448 13566 76912 444015 2601300 15426840 92431584 558685348 3402497504 20858916870 | +| 49 | TernaryTrees:Alt | DiagSum | missing | 1 0 -1 -1 2 4 -6 -17 23 79 -102 -393 495 2054 -2549 -11133 13682 62032 -75714 -353168 428882 | +| 50 | TernaryTrees:Alt | AccSum | missing | 1 -1 1 -5 22 -108 560 -3021 16780 -95321 551217 -3234028 19203256 -115184440 696881572 -4247759901 | +| 51 | TernaryTrees:Alt | AccRevSum | missing | 1 -2 7 -35 194 -1131 6800 -41727 259780 -1634792 10373319 -66256276 425453992 -2744061980 | +| 52 | TernaryTrees:Alt | RowLcm | missing | 1 1 3 60 1925 8190 8246700 7759752 413377965 135616981500 152499911850 612145495962000 | +| 53 | TernaryTrees:Alt | RowGcd | A349509 | 1 1 3 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 | +| 54 | TernaryTrees:Alt | RowMax | A001764 | 1 1 3 12 55 273 1428 7752 43263 246675 1430715 8414640 50067108 300830572 1822766520 11124755664 | +| 55 | TernaryTrees:Alt | ColMiddle | missing | 1 0 -1 -1 7 9 -63 -88 627 910 -6578 -9750 71253 106981 -788392 -1193808 8855691 13489164 -100591491 | +| 56 | TernaryTrees:Alt | CentralE | missing | 1 -1 7 -63 627 -6578 71253 -788392 8855691 -100591491 1152499502 -13294840650 154215056385 | +| 57 | TernaryTrees:Alt | CentralO | missing | 0 -1 9 -88 910 -9750 106981 -1193808 13489164 -153883455 1768786250 -20455114680 237739812414 | +| 58 | TernaryTrees:Alt | ColRight | A001764 | 1 -1 3 -12 55 -273 1428 -7752 43263 -246675 1430715 -8414640 50067108 -300830572 1822766520 | +| 59 | TernaryTrees:Alt | BinConv | A246434 | 1 -1 1 0 -7 42 -198 858 -3575 14586 -58786 235144 -936054 3714500 -14709420 58169070 -229824855 | +| 60 | TernaryTrees:Alt | InvBinConv | missing | 1 -1 5 -30 201 -1438 10734 -82512 647945 -5170710 41782726 -341013236 2805832506 -23241121660 | +| 61 | TernaryTrees:Alt | TransNat0 | missing | 0 -1 5 -27 158 -954 5880 -36755 232124 -1477509 9462941 -60910868 393692760 -2553445552 16610355068 | +| 62 | TernaryTrees:Alt | TransNat1 | missing | 1 -2 7 -35 194 -1131 6800 -41727 259780 -1634792 10373319 -66256276 425453992 -2744061980 | +| 63 | TernaryTrees:Alt | TransSqrs | missing | 0 -1 11 -89 682 -5088 37304 -270225 1940084 -13833281 98095347 -692513564 4870697416 -34149698824 | +| 64 | TernaryTrees:Alt | PosHalf | missing | 1 -1 1 -6 25 -125 648 -3504 19489 -110835 641505 -3766530 22378956 -134302876 812914520 -4956949440 | +| 65 | TernaryTrees:Alt | NegHalf | missing | 1 -1 5 -26 141 -789 4520 -26368 156053 -934451 5650213 -34445894 211475644 -1306245628 8111488952 | +| 66 | TernaryTrees:Alt | DiagRow1 | B102893 | 0 -1 5 -25 130 -700 3876 -21945 126500 -740025 4382625 -26225628 158331880 -963250600 5899491640 | +| 67 | TernaryTrees:Alt | DiagRow2 | B102594 | 0 -1 7 -42 245 -1428 8379 -49588 296010 -1781325 10798788 -65900296 404565252 -2496994136 | +| 68 | TernaryTrees:Alt | DiagRow3 | A230547 | 0 -1 9 -63 408 -2565 15939 -98670 610740 -3786588 23535820 -146710476 917263152 -5752004349 | +| 69 | TernaryTrees:Alt | DiagCol2 | A081874 | 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 | +| 70 | TernaryTrees:Alt | DiagCol3 | B071355 | -12 -25 -42 -63 -88 -117 -150 -187 -228 -273 -322 -375 -432 -493 -558 -627 -700 -777 -858 -943 | +| 71 | TernaryTrees:Alt | Poly | missing | 1 0 1 0 -1 1 0 2 -2 1 0 -8 10 -3 1 0 36 -78 24 -4 1 0 -177 706 -282 44 -5 1 0 920 -6958 3840 -692 | +| 72 | TernaryTrees:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 73 | TernaryTrees:Alt | PolyRow2 | A049450 | 0 2 10 24 44 70 102 140 184 234 290 352 420 494 574 660 752 850 954 1064 1180 1302 1430 1564 1704 | +| 74 | TernaryTrees:Alt | PolyRow3 | missing | 0 -8 -78 -282 -692 -1380 -2418 -3878 -5832 -8352 -11510 -15378 -20028 -25532 -31962 -39390 -47888 | +| 75 | TernaryTrees:Alt | PolyCol2 | missing | 1 -2 10 -78 706 -6958 72450 -784014 8729698 -99362862 1150897602 -13521492942 160744835874 | +| 76 | TernaryTrees:Alt | PolyCol3 | missing | 1 -3 24 -282 3840 -56865 889152 -14444238 241387584 -4123126245 71661495480 -1263256390200 | +| 77 | TernaryTrees:Alt | PolyDiag | missing | 1 -1 10 -282 12588 -776905 61485870 -5951148154 681925659064 -90350490356235 13595766484664890 | +| 78 | TernaryTrees:Rev | Triangle | missing | 1 1 0 3 1 0 12 5 1 0 55 25 7 1 0 273 130 42 9 1 0 1428 700 245 63 11 1 0 7752 3876 1428 408 88 13 1 | +| 79 | TernaryTrees:Rev | Acc | missing | 1 1 1 3 4 4 12 17 18 18 55 80 87 88 88 273 403 445 454 455 455 1428 2128 2373 2436 2447 2448 2448 | +| 80 | TernaryTrees:Rev | AccRev | missing | 1 0 1 0 1 4 0 1 6 18 0 1 8 33 88 0 1 10 52 182 455 0 1 12 75 320 1020 2448 0 1 14 102 510 1938 5814 | +| 81 | TernaryTrees:Rev | AntiDiag | missing | 1 1 3 0 12 1 55 5 0 273 25 1 1428 130 7 0 7752 700 42 1 43263 3876 245 9 0 246675 21945 1428 63 1 | +| 82 | TernaryTrees:Rev | Diffx1 | missing | 1 1 0 3 2 0 12 10 3 0 55 50 21 4 0 273 260 126 36 5 0 1428 1400 735 252 55 6 0 7752 7752 4284 1632 | +| 83 | TernaryTrees:Rev | RowSum | A006629 | 1 1 4 18 88 455 2448 13566 76912 444015 2601300 15426840 92431584 558685348 3402497504 20858916870 | +| 84 | TernaryTrees:Rev | EvenSum | missing | 1 1 3 13 62 316 1684 9269 52284 300649 1755839 10386124 62096408 374650888 2278156640 13947424197 | +| 85 | TernaryTrees:Rev | OddSum | missing | 0 0 1 5 26 139 764 4297 24628 143366 845461 5040716 30335176 184034460 1124340864 6911492673 | +| 86 | TernaryTrees:Rev | AltSum | missing | 1 1 2 8 36 177 920 4972 27656 157283 910378 5345408 31761232 190616428 1153815776 7035931524 | +| 87 | TernaryTrees:Rev | DiagSum | missing | 1 1 3 13 60 299 1565 8495 47393 270112 1566013 9206907 54762322 328940548 1992536683 12157880057 | +| 88 | TernaryTrees:Rev | AccSum | missing | 1 2 11 65 398 2485 15708 100149 642620 4144140 26832975 174323292 1135710296 7417029620 48540468424 | +| 89 | TernaryTrees:Rev | AccRevSum | B102893 | 1 1 5 25 130 700 3876 21945 126500 740025 4382625 26225628 158331880 963250600 5899491640 | +| 90 | TernaryTrees:Rev | RowLcm | missing | 1 1 3 60 1925 8190 8246700 7759752 413377965 135616981500 152499911850 612145495962000 | +| 91 | TernaryTrees:Rev | RowGcd | A349509 | 1 1 3 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 | +| 92 | TernaryTrees:Rev | RowMax | A001764 | 1 1 3 12 55 273 1428 7752 43263 246675 1430715 8414640 50067108 300830572 1822766520 11124755664 | +| 93 | TernaryTrees:Rev | ColMiddle | missing | 1 1 1 5 7 42 63 408 627 4235 6578 45630 71253 503440 788392 5645904 8855691 64073529 100591491 | +| 94 | TernaryTrees:Rev | CentralE | missing | 1 1 7 63 627 6578 71253 788392 8855691 100591491 1152499502 13294840650 154215056385 1797023139408 | +| 95 | TernaryTrees:Rev | CentralO | missing | 1 5 42 408 4235 45630 503440 5645904 64073529 733734155 8461873420 98143227000 1143610476957 | +| 96 | TernaryTrees:Rev | ColLeft | A001764 | 1 1 3 12 55 273 1428 7752 43263 246675 1430715 8414640 50067108 300830572 1822766520 11124755664 | +| 97 | TernaryTrees:Rev | BinConv | missing | 1 1 5 30 201 1438 10734 82512 647945 5170710 41782726 341013236 2805832506 23241121660 193591773704 | +| 98 | TernaryTrees:Rev | InvBinConv | A246434 | 1 -1 1 0 -7 42 -198 858 -3575 14586 -58786 235144 -936054 3714500 -14709420 58169070 -229824855 | +| 99 | TernaryTrees:Rev | TransNat0 | B102594 | 0 0 1 7 42 245 1428 8379 49588 296010 1781325 10798788 65900296 404565252 2496994136 15486165555 | +| 100 | TernaryTrees:Rev | TransNat1 | B102893 | 1 1 5 25 130 700 3876 21945 126500 740025 4382625 26225628 158331880 963250600 5899491640 | +| 101 | TernaryTrees:Rev | TransSqrs | missing | 0 0 1 9 62 395 2448 15029 92092 565110 3477825 21478908 133145496 828395516 5172344996 32403825405 | +| 102 | TernaryTrees:Rev | PosHalf | missing | 1 2 14 118 1110 11190 118262 1293302 14513654 166200310 1934366710 22815703030 272122413046 | +| 103 | TernaryTrees:Rev | NegHalf | missing | 1 -2 10 -78 706 -6958 72450 -784014 8729698 -99362862 1150897602 -13521492942 160744835874 | +| 104 | TernaryTrees:Rev | DiagRow2 | A081874 | 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 | +| 105 | TernaryTrees:Rev | DiagRow3 | B071355 | 12 25 42 63 88 117 150 187 228 273 322 375 432 493 558 627 700 777 858 943 1032 1125 1222 1323 1428 | +| 106 | TernaryTrees:Rev | DiagCol1 | B102893 | 0 1 5 25 130 700 3876 21945 126500 740025 4382625 26225628 158331880 963250600 5899491640 | +| 107 | TernaryTrees:Rev | DiagCol2 | B102594 | 0 1 7 42 245 1428 8379 49588 296010 1781325 10798788 65900296 404565252 2496994136 15486165555 | +| 108 | TernaryTrees:Rev | DiagCol3 | A230547 | 0 1 9 63 408 2565 15939 98670 610740 3786588 23535820 146710476 917263152 5752004349 36174046743 | +| 109 | TernaryTrees:Rev | Poly | missing | 1 1 1 3 1 1 12 4 1 1 55 18 5 1 1 273 88 26 6 1 1 1428 455 141 36 7 1 1 7752 2448 789 220 48 8 1 1 | +| 110 | TernaryTrees:Rev | PolyRow2 | A009056 | 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 | +| 111 | TernaryTrees:Rev | PolyRow3 | B027691 | 12 18 26 36 48 62 78 96 116 138 162 188 216 246 278 312 348 386 426 468 512 558 606 656 708 762 818 | +| 112 | TernaryTrees:Rev | PolyCol2 | missing | 1 1 5 26 141 789 4520 26368 156053 934451 5650213 34445894 211475644 1306245628 8111488952 | +| 113 | TernaryTrees:Rev | PolyCol3 | A004319 | 1 1 6 36 220 1365 8568 54264 346104 2220075 14307150 92561040 600805296 3910797436 25518731280 | +| 114 | TernaryTrees:Rev | PolyDiag | missing | 1 1 5 36 331 3723 50088 792228 14499719 302615103 7108201965 185800892720 5352508635444 | \ No newline at end of file diff --git a/data/md/WardSet.md b/data/md/WardSet.md index 45b802c..efd8859 100644 --- a/data/md/WardSet.md +++ b/data/md/WardSet.md @@ -1,78 +1,117 @@ -| | triangle | trait | anum | seq | -|---:|:------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | WardSet:Std | Triangle | A269939 | 1 0 1 0 1 3 0 1 10 15 0 1 25 105 105 0 1 56 490 1260 945 0 1 119 1918 9450 17325 10395 0 1 246 6825 | -| 1 | WardSet:Std | Rev | missing | 1 1 0 3 1 0 15 10 1 0 105 105 25 1 0 945 1260 490 56 1 0 10395 17325 9450 1918 119 1 0 135135 | -| 2 | WardSet:Std | Acc | missing | 1 0 1 0 1 4 0 1 11 26 0 1 26 131 236 0 1 57 547 1807 2752 0 1 120 2038 11488 28813 39208 0 1 247 | -| 3 | WardSet:Std | AccRev | missing | 1 1 1 3 4 4 15 25 26 26 105 210 235 236 236 945 2205 2695 2751 2752 2752 10395 27720 37170 39088 | -| 4 | WardSet:Std | AntiDiag | A137375 | 1 0 0 1 0 1 0 1 3 0 1 10 0 1 25 15 0 1 56 105 0 1 119 490 105 0 1 246 1918 1260 0 1 501 6825 9450 | -| 5 | WardSet:Std | Diffx1 | missing | 1 0 2 0 2 9 0 2 30 60 0 2 75 420 525 0 2 168 1960 6300 5670 0 2 357 7672 47250 103950 72765 0 2 738 | -| 6 | WardSet:Std | RowSum | B000311 | 1 1 4 26 236 2752 39208 660032 12818912 282137824 6939897856 188666182784 5617349020544 | -| 7 | WardSet:Std | EvenSum | missing | 1 0 3 10 130 1316 19964 327496 6429616 140887472 3471763328 94313132992 2808914011072 | -| 8 | WardSet:Std | OddSum | missing | 0 1 1 16 106 1436 19244 332536 6389296 141250352 3468134528 94353049792 2808435009472 | -| 9 | WardSet:Std | AltSum | A000142 | 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | -| 10 | WardSet:Std | DiagSum | A000296 | 1 0 1 1 4 11 41 162 715 3425 17722 98253 580317 3633280 24011157 166888165 1216070380 9264071767 | -| 11 | WardSet:Std | AccSum | missing | 1 1 5 38 394 5164 81668 1510928 31986400 762118432 20175223232 587316779840 18642954295744 | -| 12 | WardSet:Std | AccRevSum | missing | 1 2 11 92 1022 14100 231996 4429360 96202720 2341397632 63103551040 1865343596352 59999931991872 | -| 13 | WardSet:Std | RowLcm | missing | 1 1 3 30 525 52920 242099550 45099954900 367310208815775225 127007737277649228000 | -| 14 | WardSet:Std | RowGcd | B110560 | 1 1 3 5 5 7 7 1 1 11 11 13 13 1 1 17 17 19 19 1 1 23 23 1 1 1 1 29 29 31 31 1 | -| 15 | WardSet:Std | RowMax | missing | 1 1 3 15 105 1260 17325 270270 4729725 94594500 2343240900 62199262125 1764494857125 53338158823950 | -| 16 | WardSet:Std | ColMiddle | missing | 1 0 1 1 25 56 1918 6825 302995 1487200 81431350 510880370 33309926650 254752658160 19282395272140 | -| 17 | WardSet:Std | CentralE | missing | 1 1 25 1918 302995 81431350 33309926650 19282395272140 15006064187108995 15112611709896650950 | -| 18 | WardSet:Std | CentralO | missing | 0 1 56 6825 1487200 510880370 254752658160 174073797222325 156226380361251200 178278935386370568750 | -| 19 | WardSet:Std | ColRight | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | -| 20 | WardSet:Std | BinConv | missing | 1 1 5 48 679 12710 296246 8267448 268799091 9978566310 416461324630 19303231146496 983832736305574 | -| 21 | WardSet:Std | InvBinConv | missing | 1 1 1 -12 -169 -1010 11614 484736 7251635 -31586634 -5267648770 -152227865064 -803876214010 | -| 22 | WardSet:Std | TransNat0 | missing | 0 1 7 66 786 11348 192788 3769328 83383808 2059259808 56163653184 1676677413568 54382582971328 | -| 23 | WardSet:Std | TransNat1 | missing | 1 2 11 92 1022 14100 231996 4429360 96202720 2341397632 63103551040 1865343596352 59999931991872 | -| 24 | WardSet:Std | TransSqrs | missing | 0 1 13 176 2726 48420 976284 22089800 555025760 15345208528 463187349472 15160891200768 | -| 25 | WardSet:Std | PosHalf | missing | 1 1 5 39 423 5889 100125 2010951 46589967 1223110881 35883307125 1163450728359 41312822139063 | -| 26 | WardSet:Std | NegHalf | B001662 | 1 1 1 -1 -13 -47 73 2447 16811 -15551 -1726511 -18994849 -10979677 2983409137 48421103257 | -| 27 | WardSet:Std | DiagRow1 | A000457 | 0 1 10 105 1260 17325 270270 4729725 91891800 1964187225 45831035250 1159525191825 31623414322500 | -| 28 | WardSet:Std | DiagRow2 | A000497 | 0 1 25 490 9450 190575 4099095 94594500 2343240900 62199262125 1764494857125 53338158823950 | -| 29 | WardSet:Std | DiagRow3 | A000504 | 0 1 56 1918 56980 1636635 47507460 1422280860 44346982680 1446733012725 49473074851200 | -| 30 | WardSet:Std | DiagCol2 | B000247 | 3 10 25 56 119 246 501 1012 2035 4082 8177 16368 32751 65518 131053 262124 524267 1048554 2097129 | -| 31 | WardSet:Std | DiagCol3 | A000478 | 15 105 490 1918 6825 22935 74316 235092 731731 2252341 6879678 20900922 63259533 190957923 | -| 32 | WardSet:Std | Poly | missing | 1 0 1 0 1 1 0 4 2 1 0 26 14 3 1 0 236 162 30 4 1 0 2752 2622 498 52 5 1 0 39208 54546 11568 1124 80 | -| 33 | WardSet:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | -| 34 | WardSet:Std | PolyRow2 | A049451 | 0 4 14 30 52 80 114 154 200 252 310 374 444 520 602 690 784 884 990 1102 1220 1344 1474 1610 1752 | -| 35 | WardSet:Std | PolyRow3 | missing | 0 26 162 498 1124 2130 3606 5642 8328 11754 16010 21186 27372 34658 43134 52890 64016 76602 90738 | -| 36 | WardSet:Std | PolyCol2 | A201465 | 1 2 14 162 2622 54546 1386702 41660226 1444071006 56728401138 2490626473326 120858220146978 | -| 37 | WardSet:Std | PolyCol3 | A201466 | 1 3 30 498 11568 345432 12606240 543678672 27054328512 1525746223488 96167433279360 | -| 38 | WardSet:Std | PolyDiag | missing | 1 1 14 498 34004 3803280 632374098 146428634576 45056223763272 17784343544317920 | -| 39 | WardSet:Rev | Triangle | missing | 1 1 0 3 1 0 15 10 1 0 105 105 25 1 0 945 1260 490 56 1 0 10395 17325 9450 1918 119 1 0 135135 | -| 40 | WardSet:Rev | Acc | missing | 1 1 1 3 4 4 15 25 26 26 105 210 235 236 236 945 2205 2695 2751 2752 2752 10395 27720 37170 39088 | -| 41 | WardSet:Rev | AccRev | missing | 1 0 1 0 1 4 0 1 11 26 0 1 26 131 236 0 1 57 547 1807 2752 0 1 120 2038 11488 28813 39208 0 1 247 | -| 42 | WardSet:Rev | AntiDiag | missing | 1 1 3 0 15 1 105 10 0 945 105 1 10395 1260 25 0 135135 17325 490 1 2027025 270270 9450 56 0 | -| 43 | WardSet:Rev | Diffx1 | missing | 1 1 0 3 2 0 15 20 3 0 105 210 75 4 0 945 2520 1470 224 5 0 10395 34650 28350 7672 595 6 0 135135 | -| 44 | WardSet:Rev | RowSum | B000311 | 1 1 4 26 236 2752 39208 660032 12818912 282137824 6939897856 188666182784 5617349020544 | -| 45 | WardSet:Rev | EvenSum | missing | 1 1 3 16 130 1436 19964 332536 6429616 141250352 3471763328 94353049792 2808914011072 | -| 46 | WardSet:Rev | OddSum | missing | 0 0 1 10 106 1316 19244 327496 6389296 140887472 3468134528 94313132992 2808435009472 | -| 47 | WardSet:Rev | AltSum | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 48 | WardSet:Rev | DiagSum | missing | 1 1 3 16 115 1051 11680 152951 2306801 39381644 750777069 15809735761 364456230076 9129012460481 | -| 49 | WardSet:Rev | AccSum | missing | 1 2 11 92 1022 14100 231996 4429360 96202720 2341397632 63103551040 1865343596352 59999931991872 | -| 50 | WardSet:Rev | AccRevSum | missing | 1 1 5 38 394 5164 81668 1510928 31986400 762118432 20175223232 587316779840 18642954295744 | -| 51 | WardSet:Rev | RowLcm | missing | 1 1 3 30 525 52920 242099550 45099954900 367310208815775225 127007737277649228000 | -| 52 | WardSet:Rev | RowGcd | B110560 | 1 1 3 5 5 7 7 1 1 11 11 13 13 1 1 17 17 19 19 1 1 23 23 1 1 1 1 29 29 31 31 1 | -| 53 | WardSet:Rev | RowMax | missing | 1 1 3 15 105 1260 17325 270270 4729725 94594500 2343240900 62199262125 1764494857125 53338158823950 | -| 54 | WardSet:Rev | ColMiddle | missing | 1 1 1 10 25 490 1918 56980 302995 12122110 81431350 4104160060 33309926650 2026763158420 | -| 55 | WardSet:Rev | CentralE | missing | 1 1 25 1918 302995 81431350 33309926650 19282395272140 15006064187108995 15112611709896650950 | -| 56 | WardSet:Rev | CentralO | missing | 1 10 490 56980 12122110 4104160060 2026763158420 1375295856374440 1227858424500457750 | -| 57 | WardSet:Rev | ColLeft | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | -| 58 | WardSet:Rev | BinConv | missing | 1 1 5 48 679 12710 296246 8267448 268799091 9978566310 416461324630 19303231146496 983832736305574 | -| 59 | WardSet:Rev | InvBinConv | missing | 1 -1 1 12 -169 1010 11614 -484736 7251635 31586634 -5267648770 152227865064 -803876214010 | -| 60 | WardSet:Rev | TransNat0 | missing | 0 0 1 12 158 2412 42460 850896 19167488 479980608 13235325376 398650597056 13025605275200 | -| 61 | WardSet:Rev | TransNat1 | missing | 1 1 5 38 394 5164 81668 1510928 31986400 762118432 20175223232 587316779840 18642954295744 | -| 62 | WardSet:Rev | TransSqrs | missing | 0 0 1 14 214 3740 74316 1660776 41295200 1131695728 33904071392 1102596219136 38689467601152 | -| 63 | WardSet:Rev | PosHalf | A201465 | 1 2 14 162 2622 54546 1386702 41660226 1444071006 56728401138 2490626473326 120858220146978 | -| 64 | WardSet:Rev | NegHalf | A112487 | 1 -2 10 -82 938 -13778 247210 -5240338 128149802 -3551246162 109979486890 -3764281873042 | -| 65 | WardSet:Rev | DiagRow2 | B000247 | 3 10 25 56 119 246 501 1012 2035 4082 8177 16368 32751 65518 131053 262124 524267 1048554 2097129 | -| 66 | WardSet:Rev | DiagRow3 | A000478 | 15 105 490 1918 6825 22935 74316 235092 731731 2252341 6879678 20900922 63259533 190957923 | -| 67 | WardSet:Rev | DiagCol1 | A000457 | 0 1 10 105 1260 17325 270270 4729725 91891800 1964187225 45831035250 1159525191825 31623414322500 | -| 68 | WardSet:Rev | DiagCol2 | A000497 | 0 1 25 490 9450 190575 4099095 94594500 2343240900 62199262125 1764494857125 53338158823950 | -| 69 | WardSet:Rev | DiagCol3 | A000504 | 0 1 56 1918 56980 1636635 47507460 1422280860 44346982680 1446733012725 49473074851200 | -| 70 | WardSet:Rev | Poly | missing | 1 1 1 3 1 1 15 4 1 1 105 26 5 1 1 945 236 39 6 1 1 10395 2752 423 54 7 1 1 135135 39208 5889 672 71 | -| 71 | WardSet:Rev | PolyRow2 | A009056 | 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 | -| 72 | WardSet:Rev | PolyRow3 | missing | 15 26 39 54 71 90 111 134 159 186 215 246 279 314 351 390 431 474 519 566 615 666 719 774 831 890 | -| 73 | WardSet:Rev | PolyCol2 | missing | 1 1 5 39 423 5889 100125 2010951 46589967 1223110881 35883307125 1163450728359 41312822139063 | -| 74 | WardSet:Rev | PolyCol3 | missing | 1 1 6 54 672 10728 209088 4812912 127780416 3843863424 129211334784 4800040010496 195279931289088 | -| 75 | WardSet:Rev | PolyDiag | missing | 1 1 5 54 989 27120 1030833 51548336 3266196921 254885395680 23959128651325 2664724081561344 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | WardSet:Std | Triangle | A269939 | 1 0 1 0 1 3 0 1 10 15 0 1 25 105 105 0 1 56 490 1260 945 0 1 119 1918 9450 17325 10395 0 1 246 6825 | +| 1 | WardSet:Std | Rev | missing | 1 1 0 3 1 0 15 10 1 0 105 105 25 1 0 945 1260 490 56 1 0 10395 17325 9450 1918 119 1 0 135135 | +| 2 | WardSet:Std | Acc | missing | 1 0 1 0 1 4 0 1 11 26 0 1 26 131 236 0 1 57 547 1807 2752 0 1 120 2038 11488 28813 39208 0 1 247 | +| 3 | WardSet:Std | AccRev | missing | 1 1 1 3 4 4 15 25 26 26 105 210 235 236 236 945 2205 2695 2751 2752 2752 10395 27720 37170 39088 | +| 4 | WardSet:Std | AntiDiag | A137375 | 1 0 0 1 0 1 0 1 3 0 1 10 0 1 25 15 0 1 56 105 0 1 119 490 105 0 1 246 1918 1260 0 1 501 6825 9450 | +| 5 | WardSet:Std | Diffx1 | missing | 1 0 2 0 2 9 0 2 30 60 0 2 75 420 525 0 2 168 1960 6300 5670 0 2 357 7672 47250 103950 72765 0 2 738 | +| 6 | WardSet:Std | RowSum | B000311 | 1 1 4 26 236 2752 39208 660032 12818912 282137824 6939897856 188666182784 5617349020544 | +| 7 | WardSet:Std | EvenSum | missing | 1 0 3 10 130 1316 19964 327496 6429616 140887472 3471763328 94313132992 2808914011072 | +| 8 | WardSet:Std | OddSum | missing | 0 1 1 16 106 1436 19244 332536 6389296 141250352 3468134528 94353049792 2808435009472 | +| 9 | WardSet:Std | AltSum | A000142 | 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | +| 10 | WardSet:Std | DiagSum | A000296 | 1 0 1 1 4 11 41 162 715 3425 17722 98253 580317 3633280 24011157 166888165 1216070380 9264071767 | +| 11 | WardSet:Std | AccSum | missing | 1 1 5 38 394 5164 81668 1510928 31986400 762118432 20175223232 587316779840 18642954295744 | +| 12 | WardSet:Std | AccRevSum | missing | 1 2 11 92 1022 14100 231996 4429360 96202720 2341397632 63103551040 1865343596352 59999931991872 | +| 13 | WardSet:Std | RowLcm | missing | 1 1 3 30 525 52920 242099550 45099954900 367310208815775225 127007737277649228000 | +| 14 | WardSet:Std | RowGcd | B110560 | 1 1 3 5 5 7 7 1 1 11 11 13 13 1 1 17 17 19 19 1 1 23 23 1 1 1 1 29 29 31 31 1 | +| 15 | WardSet:Std | RowMax | missing | 1 1 3 15 105 1260 17325 270270 4729725 94594500 2343240900 62199262125 1764494857125 53338158823950 | +| 16 | WardSet:Std | ColMiddle | missing | 1 0 1 1 25 56 1918 6825 302995 1487200 81431350 510880370 33309926650 254752658160 19282395272140 | +| 17 | WardSet:Std | CentralE | missing | 1 1 25 1918 302995 81431350 33309926650 19282395272140 15006064187108995 15112611709896650950 | +| 18 | WardSet:Std | CentralO | missing | 0 1 56 6825 1487200 510880370 254752658160 174073797222325 156226380361251200 178278935386370568750 | +| 19 | WardSet:Std | ColRight | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | +| 20 | WardSet:Std | BinConv | missing | 1 1 5 48 679 12710 296246 8267448 268799091 9978566310 416461324630 19303231146496 983832736305574 | +| 21 | WardSet:Std | InvBinConv | missing | 1 1 1 -12 -169 -1010 11614 484736 7251635 -31586634 -5267648770 -152227865064 -803876214010 | +| 22 | WardSet:Std | TransNat0 | missing | 0 1 7 66 786 11348 192788 3769328 83383808 2059259808 56163653184 1676677413568 54382582971328 | +| 23 | WardSet:Std | TransNat1 | missing | 1 2 11 92 1022 14100 231996 4429360 96202720 2341397632 63103551040 1865343596352 59999931991872 | +| 24 | WardSet:Std | TransSqrs | missing | 0 1 13 176 2726 48420 976284 22089800 555025760 15345208528 463187349472 15160891200768 | +| 25 | WardSet:Std | PosHalf | missing | 1 1 5 39 423 5889 100125 2010951 46589967 1223110881 35883307125 1163450728359 41312822139063 | +| 26 | WardSet:Std | NegHalf | B001662 | 1 1 1 -1 -13 -47 73 2447 16811 -15551 -1726511 -18994849 -10979677 2983409137 48421103257 | +| 27 | WardSet:Std | DiagRow1 | A000457 | 0 1 10 105 1260 17325 270270 4729725 91891800 1964187225 45831035250 1159525191825 31623414322500 | +| 28 | WardSet:Std | DiagRow2 | A000497 | 0 1 25 490 9450 190575 4099095 94594500 2343240900 62199262125 1764494857125 53338158823950 | +| 29 | WardSet:Std | DiagRow3 | A000504 | 0 1 56 1918 56980 1636635 47507460 1422280860 44346982680 1446733012725 49473074851200 | +| 30 | WardSet:Std | DiagCol2 | B000247 | 3 10 25 56 119 246 501 1012 2035 4082 8177 16368 32751 65518 131053 262124 524267 1048554 2097129 | +| 31 | WardSet:Std | DiagCol3 | A000478 | 15 105 490 1918 6825 22935 74316 235092 731731 2252341 6879678 20900922 63259533 190957923 | +| 32 | WardSet:Std | Poly | missing | 1 0 1 0 1 1 0 4 2 1 0 26 14 3 1 0 236 162 30 4 1 0 2752 2622 498 52 5 1 0 39208 54546 11568 1124 80 | +| 33 | WardSet:Std | PolyRow1 | A001477 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | +| 34 | WardSet:Std | PolyRow2 | A049451 | 0 4 14 30 52 80 114 154 200 252 310 374 444 520 602 690 784 884 990 1102 1220 1344 1474 1610 1752 | +| 35 | WardSet:Std | PolyRow3 | missing | 0 26 162 498 1124 2130 3606 5642 8328 11754 16010 21186 27372 34658 43134 52890 64016 76602 90738 | +| 36 | WardSet:Std | PolyCol2 | A201465 | 1 2 14 162 2622 54546 1386702 41660226 1444071006 56728401138 2490626473326 120858220146978 | +| 37 | WardSet:Std | PolyCol3 | A201466 | 1 3 30 498 11568 345432 12606240 543678672 27054328512 1525746223488 96167433279360 | +| 38 | WardSet:Std | PolyDiag | missing | 1 1 14 498 34004 3803280 632374098 146428634576 45056223763272 17784343544317920 | +| 39 | WardSet:Alt | Triangle | A269939 | 1 0 -1 0 -1 3 0 -1 10 -15 0 -1 25 -105 105 0 -1 56 -490 1260 -945 0 -1 119 -1918 9450 -17325 10395 | +| 40 | WardSet:Alt | Rev | missing | 1 -1 0 3 -1 0 -15 10 -1 0 105 -105 25 -1 0 -945 1260 -490 56 -1 0 10395 -17325 9450 -1918 119 -1 0 | +| 41 | WardSet:Alt | Acc | missing | 1 0 -1 0 -1 2 0 -1 9 -6 0 -1 24 -81 24 0 -1 55 -435 825 -120 0 -1 118 -1800 7650 -9675 720 0 -1 245 | +| 42 | WardSet:Alt | AccRev | missing | 1 -1 -1 3 2 2 -15 -5 -6 -6 105 0 25 24 24 -945 315 -175 -119 -120 -120 10395 -6930 2520 602 721 720 | +| 43 | WardSet:Alt | AntiDiag | A137375 | 1 0 0 -1 0 -1 0 -1 3 0 -1 10 0 -1 25 -15 0 -1 56 -105 0 -1 119 -490 105 0 -1 246 -1918 1260 0 -1 | +| 44 | WardSet:Alt | Diffx1 | missing | 1 0 -2 0 -2 9 0 -2 30 -60 0 -2 75 -420 525 0 -2 168 -1960 6300 -5670 0 -2 357 -7672 47250 -103950 | +| 45 | WardSet:Alt | RowSum | A000142 | 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | +| 46 | WardSet:Alt | EvenSum | missing | 1 0 3 10 130 1316 19964 327496 6429616 140887472 3471763328 94313132992 2808914011072 | +| 47 | WardSet:Alt | OddSum | missing | 0 -1 -1 -16 -106 -1436 -19244 -332536 -6389296 -141250352 -3468134528 -94353049792 -2808435009472 | +| 48 | WardSet:Alt | AltSum | B000311 | 1 1 4 26 236 2752 39208 660032 12818912 282137824 6939897856 188666182784 5617349020544 | +| 49 | WardSet:Alt | DiagSum | A014182 | 1 0 -1 -1 2 9 9 -50 -267 -413 2180 17731 50533 -110176 -1966797 -9938669 -8638718 278475061 | +| 50 | WardSet:Alt | AccSum | B323618 | 1 -1 1 2 -34 324 -2988 28944 -300816 3371040 -40710240 528439680 -7348717440 109109064960 | +| 51 | WardSet:Alt | AccRevSum | A121555 | 1 -2 7 -32 178 -1164 8748 -74304 704016 -7362720 84255840 -1047358080 14054739840 -202514376960 | +| 52 | WardSet:Alt | RowLcm | missing | 1 1 3 30 525 52920 242099550 45099954900 367310208815775225 127007737277649228000 | +| 53 | WardSet:Alt | RowGcd | B110560 | 1 1 3 5 5 7 7 1 1 11 11 13 13 1 1 17 17 19 19 1 1 23 23 1 1 1 1 29 29 31 31 1 | +| 54 | WardSet:Alt | RowMax | missing | 1 1 3 15 105 1260 17325 270270 4729725 94594500 2343240900 62199262125 1764494857125 53338158823950 | +| 55 | WardSet:Alt | ColMiddle | missing | 1 0 -1 -1 25 56 -1918 -6825 302995 1487200 -81431350 -510880370 33309926650 254752658160 | +| 56 | WardSet:Alt | CentralE | missing | 1 -1 25 -1918 302995 -81431350 33309926650 -19282395272140 15006064187108995 -15112611709896650950 | +| 57 | WardSet:Alt | CentralO | missing | 0 -1 56 -6825 1487200 -510880370 254752658160 -174073797222325 156226380361251200 | +| 58 | WardSet:Alt | ColRight | A001147 | 1 -1 3 -15 105 -945 10395 -135135 2027025 -34459425 654729075 -13749310575 316234143225 | +| 59 | WardSet:Alt | BinConv | missing | 1 -1 1 12 -169 1010 11614 -484736 7251635 31586634 -5267648770 152227865064 -803876214010 | +| 60 | WardSet:Alt | InvBinConv | missing | 1 -1 5 -48 679 -12710 296246 -8267448 268799091 -9978566310 416461324630 -19303231146496 | +| 61 | WardSet:Alt | TransNat0 | A001705 | 0 -1 5 -26 154 -1044 8028 -69264 663696 -6999840 80627040 -1007441280 13575738240 -196287356160 | +| 62 | WardSet:Alt | TransNat1 | A121555 | 1 -2 7 -32 178 -1164 8748 -74304 704016 -7362720 84255840 -1047358080 14054739840 -202514376960 | +| 63 | WardSet:Alt | TransSqrs | missing | 0 -1 11 -96 834 -7652 75508 -805032 9268128 -114922512 1529695584 -21780381312 330590371968 | +| 64 | WardSet:Alt | PosHalf | B001662 | 1 -1 1 1 -13 47 73 -2447 16811 15551 -1726511 18994849 -10979677 -2983409137 48421103257 | +| 65 | WardSet:Alt | NegHalf | missing | 1 -1 5 -39 423 -5889 100125 -2010951 46589967 -1223110881 35883307125 -1163450728359 41312822139063 | +| 66 | WardSet:Alt | DiagRow1 | A000457 | 0 -1 10 -105 1260 -17325 270270 -4729725 91891800 -1964187225 45831035250 -1159525191825 | +| 67 | WardSet:Alt | DiagRow2 | A000497 | 0 -1 25 -490 9450 -190575 4099095 -94594500 2343240900 -62199262125 1764494857125 -53338158823950 | +| 68 | WardSet:Alt | DiagRow3 | A000504 | 0 -1 56 -1918 56980 -1636635 47507460 -1422280860 44346982680 -1446733012725 49473074851200 | +| 69 | WardSet:Alt | DiagCol2 | B000247 | 3 10 25 56 119 246 501 1012 2035 4082 8177 16368 32751 65518 131053 262124 524267 1048554 2097129 | +| 70 | WardSet:Alt | DiagCol3 | A000478 | -15 -105 -490 -1918 -6825 -22935 -74316 -235092 -731731 -2252341 -6879678 -20900922 -63259533 | +| 71 | WardSet:Alt | Poly | missing | 1 0 1 0 -1 1 0 2 -2 1 0 -6 10 -3 1 0 24 -82 24 -4 1 0 -120 938 -318 44 -5 1 0 720 -13778 5892 -804 | +| 72 | WardSet:Alt | PolyRow1 | A001477 | 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 73 | WardSet:Alt | PolyRow2 | A049450 | 0 2 10 24 44 70 102 140 184 234 290 352 420 494 574 660 752 850 954 1064 1180 1302 1430 1564 1704 | +| 74 | WardSet:Alt | PolyRow3 | missing | 0 -6 -82 -318 -804 -1630 -2886 -4662 -7048 -10134 -14010 -18766 -24492 -31278 -39214 -48390 -58896 | +| 75 | WardSet:Alt | PolyCol2 | A112487 | 1 -2 10 -82 938 -13778 247210 -5240338 128149802 -3551246162 109979486890 -3764281873042 | +| 76 | WardSet:Alt | PolyCol3 | missing | 1 -3 24 -318 5892 -140304 4082712 -140389824 5569868256 -250435202592 12584594167296 | +| 77 | WardSet:Alt | PolyDiag | missing | 1 -1 10 -318 20556 -2225480 362107110 -82561002048 25111037280056 -9822547851440256 | +| 78 | WardSet:Rev | Triangle | missing | 1 1 0 3 1 0 15 10 1 0 105 105 25 1 0 945 1260 490 56 1 0 10395 17325 9450 1918 119 1 0 135135 | +| 79 | WardSet:Rev | Acc | missing | 1 1 1 3 4 4 15 25 26 26 105 210 235 236 236 945 2205 2695 2751 2752 2752 10395 27720 37170 39088 | +| 80 | WardSet:Rev | AccRev | missing | 1 0 1 0 1 4 0 1 11 26 0 1 26 131 236 0 1 57 547 1807 2752 0 1 120 2038 11488 28813 39208 0 1 247 | +| 81 | WardSet:Rev | AntiDiag | missing | 1 1 3 0 15 1 105 10 0 945 105 1 10395 1260 25 0 135135 17325 490 1 2027025 270270 9450 56 0 | +| 82 | WardSet:Rev | Diffx1 | missing | 1 1 0 3 2 0 15 20 3 0 105 210 75 4 0 945 2520 1470 224 5 0 10395 34650 28350 7672 595 6 0 135135 | +| 83 | WardSet:Rev | RowSum | B000311 | 1 1 4 26 236 2752 39208 660032 12818912 282137824 6939897856 188666182784 5617349020544 | +| 84 | WardSet:Rev | EvenSum | missing | 1 1 3 16 130 1436 19964 332536 6429616 141250352 3471763328 94353049792 2808914011072 | +| 85 | WardSet:Rev | OddSum | missing | 0 0 1 10 106 1316 19244 327496 6389296 140887472 3468134528 94313132992 2808435009472 | +| 86 | WardSet:Rev | AltSum | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 87 | WardSet:Rev | DiagSum | missing | 1 1 3 16 115 1051 11680 152951 2306801 39381644 750777069 15809735761 364456230076 9129012460481 | +| 88 | WardSet:Rev | AccSum | missing | 1 2 11 92 1022 14100 231996 4429360 96202720 2341397632 63103551040 1865343596352 59999931991872 | +| 89 | WardSet:Rev | AccRevSum | missing | 1 1 5 38 394 5164 81668 1510928 31986400 762118432 20175223232 587316779840 18642954295744 | +| 90 | WardSet:Rev | RowLcm | missing | 1 1 3 30 525 52920 242099550 45099954900 367310208815775225 127007737277649228000 | +| 91 | WardSet:Rev | RowGcd | B110560 | 1 1 3 5 5 7 7 1 1 11 11 13 13 1 1 17 17 19 19 1 1 23 23 1 1 1 1 29 29 31 31 1 | +| 92 | WardSet:Rev | RowMax | missing | 1 1 3 15 105 1260 17325 270270 4729725 94594500 2343240900 62199262125 1764494857125 53338158823950 | +| 93 | WardSet:Rev | ColMiddle | missing | 1 1 1 10 25 490 1918 56980 302995 12122110 81431350 4104160060 33309926650 2026763158420 | +| 94 | WardSet:Rev | CentralE | missing | 1 1 25 1918 302995 81431350 33309926650 19282395272140 15006064187108995 15112611709896650950 | +| 95 | WardSet:Rev | CentralO | missing | 1 10 490 56980 12122110 4104160060 2026763158420 1375295856374440 1227858424500457750 | +| 96 | WardSet:Rev | ColLeft | A001147 | 1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 316234143225 7905853580625 | +| 97 | WardSet:Rev | BinConv | missing | 1 1 5 48 679 12710 296246 8267448 268799091 9978566310 416461324630 19303231146496 983832736305574 | +| 98 | WardSet:Rev | InvBinConv | missing | 1 -1 1 12 -169 1010 11614 -484736 7251635 31586634 -5267648770 152227865064 -803876214010 | +| 99 | WardSet:Rev | TransNat0 | missing | 0 0 1 12 158 2412 42460 850896 19167488 479980608 13235325376 398650597056 13025605275200 | +| 100 | WardSet:Rev | TransNat1 | missing | 1 1 5 38 394 5164 81668 1510928 31986400 762118432 20175223232 587316779840 18642954295744 | +| 101 | WardSet:Rev | TransSqrs | missing | 0 0 1 14 214 3740 74316 1660776 41295200 1131695728 33904071392 1102596219136 38689467601152 | +| 102 | WardSet:Rev | PosHalf | A201465 | 1 2 14 162 2622 54546 1386702 41660226 1444071006 56728401138 2490626473326 120858220146978 | +| 103 | WardSet:Rev | NegHalf | A112487 | 1 -2 10 -82 938 -13778 247210 -5240338 128149802 -3551246162 109979486890 -3764281873042 | +| 104 | WardSet:Rev | DiagRow2 | B000247 | 3 10 25 56 119 246 501 1012 2035 4082 8177 16368 32751 65518 131053 262124 524267 1048554 2097129 | +| 105 | WardSet:Rev | DiagRow3 | A000478 | 15 105 490 1918 6825 22935 74316 235092 731731 2252341 6879678 20900922 63259533 190957923 | +| 106 | WardSet:Rev | DiagCol1 | A000457 | 0 1 10 105 1260 17325 270270 4729725 91891800 1964187225 45831035250 1159525191825 31623414322500 | +| 107 | WardSet:Rev | DiagCol2 | A000497 | 0 1 25 490 9450 190575 4099095 94594500 2343240900 62199262125 1764494857125 53338158823950 | +| 108 | WardSet:Rev | DiagCol3 | A000504 | 0 1 56 1918 56980 1636635 47507460 1422280860 44346982680 1446733012725 49473074851200 | +| 109 | WardSet:Rev | Poly | missing | 1 1 1 3 1 1 15 4 1 1 105 26 5 1 1 945 236 39 6 1 1 10395 2752 423 54 7 1 1 135135 39208 5889 672 71 | +| 110 | WardSet:Rev | PolyRow2 | A009056 | 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 | +| 111 | WardSet:Rev | PolyRow3 | missing | 15 26 39 54 71 90 111 134 159 186 215 246 279 314 351 390 431 474 519 566 615 666 719 774 831 890 | +| 112 | WardSet:Rev | PolyCol2 | missing | 1 1 5 39 423 5889 100125 2010951 46589967 1223110881 35883307125 1163450728359 41312822139063 | +| 113 | WardSet:Rev | PolyCol3 | missing | 1 1 6 54 672 10728 209088 4812912 127780416 3843863424 129211334784 4800040010496 195279931289088 | +| 114 | WardSet:Rev | PolyDiag | missing | 1 1 5 54 989 27120 1030833 51548336 3266196921 254885395680 23959128651325 2664724081561344 | \ No newline at end of file diff --git a/data/md/Worpitzky.md b/data/md/Worpitzky.md index 00bcfd4..7060725 100644 --- a/data/md/Worpitzky.md +++ b/data/md/Worpitzky.md @@ -39,84 +39,120 @@ | 36 | Worpitzky:Std | PolyCol2 | A201339 | 1 3 15 111 1095 13503 199815 3449631 68062695 1510769343 37260156615 1010843385951 29916558512295 | | 37 | Worpitzky:Std | PolyCol3 | A201354 | 1 4 28 292 4060 70564 1471708 35810212 995827420 31153998244 1082931514588 41407678132132 | | 38 | Worpitzky:Std | PolyDiag | missing | 1 2 15 292 10845 653406 58018051 7123041416 1155276253305 239189245299010 61550396579410431 | -| 39 | Worpitzky:Rev | Triangle | A075263 | 1 1 1 2 3 1 6 12 7 1 24 60 50 15 1 120 360 390 180 31 1 720 2520 3360 2100 602 63 1 5040 20160 | -| 40 | Worpitzky:Rev | Inv | A106340 | 1 -1 1 1 -3 1 -1 9 -7 1 1 -45 55 -15 1 -1 585 -835 285 -31 1 1 -21105 30835 -11025 1351 -63 1 -1 | -| 41 | Worpitzky:Rev | RevInv | missing | 1 1 -1 1 -3 1 1 -7 9 -1 1 -15 55 -45 1 1 -31 285 -835 585 -1 1 -63 1351 -11025 30835 -21105 1 1 | -| 42 | Worpitzky:Rev | Acc | A054255 | 1 1 2 2 5 6 6 18 25 26 24 84 134 149 150 120 480 870 1050 1081 1082 720 3240 6600 8700 9302 9365 | -| 43 | Worpitzky:Rev | AccRev | missing | 1 1 2 1 4 6 1 8 20 26 1 16 66 126 150 1 32 212 602 962 1082 1 64 666 2766 6126 8646 9366 1 128 2060 | -| 44 | Worpitzky:Rev | AntiDiag | missing | 1 1 2 1 6 3 24 12 1 120 60 7 720 360 50 1 5040 2520 390 15 40320 20160 3360 180 1 362880 181440 | -| 45 | Worpitzky:Rev | Diffx1 | missing | 1 1 2 2 6 3 6 24 21 4 24 120 150 60 5 120 720 1170 720 155 6 720 5040 10080 8400 3010 378 7 5040 | -| 46 | Worpitzky:Rev | RowSum | A000629 | 1 2 6 26 150 1082 9366 94586 1091670 14174522 204495126 3245265146 56183135190 1053716696762 | -| 47 | Worpitzky:Rev | EvenSum | A000670 | 1 1 3 13 75 541 4683 47293 545835 7087261 102247563 1622632573 28091567595 526858348381 | -| 48 | Worpitzky:Rev | OddSum | B000670 | 0 1 3 13 75 541 4683 47293 545835 7087261 102247563 1622632573 28091567595 526858348381 | -| 49 | Worpitzky:Rev | DiagSum | missing | 1 1 3 9 37 187 1131 7965 64021 578371 5801643 63982989 769474357 10021902787 140534274891 | -| 50 | Worpitzky:Rev | AccSum | B000670 | 1 3 13 75 541 4683 47293 545835 7087261 102247563 1622632573 28091567595 526858348381 | -| 51 | Worpitzky:Rev | AccRevSum | missing | 1 3 11 55 359 2891 27635 305439 3829439 53672179 831308939 14096879303 259705544279 5164407480987 | -| 52 | Worpitzky:Rev | RowLcm | missing | 1 1 6 84 600 145080 2167200 453138235200 319959556963200 481032520489720080000 | -| 53 | Worpitzky:Rev | RowMax | missing | 1 1 3 12 60 390 3360 31920 332640 4233600 59875200 898128000 14495120640 273158645760 5368729766400 | -| 54 | Worpitzky:Rev | ColMiddle | missing | 1 1 3 12 50 390 2100 25200 166824 2739240 21538440 451725120 4115105280 105398092800 1091804313600 | -| 55 | Worpitzky:Rev | CentralE | B185157 | 1 3 50 2100 166824 21538440 4115105280 1091804313600 384202115256960 173201547619900800 | -| 56 | Worpitzky:Rev | CentralO | missing | 1 12 390 25200 2739240 451725120 105398092800 33094020960000 13467262000832640 6897777008118796800 | -| 57 | Worpitzky:Rev | ColLeft | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | -| 58 | Worpitzky:Rev | BinConv | A000169 | 1 2 9 64 625 7776 117649 2097152 43046721 1000000000 25937424601 743008370688 23298085122481 | -| 59 | Worpitzky:Rev | InvBinConv | A343584 | 1 0 -3 10 25 -574 2653 30234 -644079 2438722 102934381 -2094370486 680814121 762930678498 | -| 60 | Worpitzky:Rev | TransNat0 | missing | 0 1 5 29 209 1809 18269 210853 2737769 39497657 626813813 10851614157 203522409089 4110690784225 | -| 61 | Worpitzky:Rev | TransNat1 | missing | 1 3 11 55 359 2891 27635 305439 3829439 53672179 831308939 14096879303 259705544279 5164407480987 | -| 62 | Worpitzky:Rev | TransSqrs | missing | 0 1 7 49 411 4061 46103 590857 8434723 132693445 2280461151 42503949137 853875100235 18391793396653 | -| 63 | Worpitzky:Rev | PosHalf | A201339 | 1 3 15 111 1095 13503 199815 3449631 68062695 1510769343 37260156615 1010843385951 29916558512295 | -| 64 | Worpitzky:Rev | NegHalf | A000670 | 1 -1 3 -13 75 -541 4683 -47293 545835 -7087261 102247563 -1622632573 28091567595 -526858348381 | -| 65 | Worpitzky:Rev | DiagRow1 | A060152 | 1 3 7 15 31 63 127 255 511 1023 2047 4095 8191 16383 32767 65535 131071 262143 524287 1048575 | -| 66 | Worpitzky:Rev | DiagRow2 | B028243 | 2 12 50 180 602 1932 6050 18660 57002 173052 523250 1577940 4750202 14283372 42915650 128878020 | -| 67 | Worpitzky:Rev | DiagRow3 | B028244 | 6 60 390 2100 10206 46620 204630 874500 3669006 15195180 62350470 254135700 1030793406 4166023740 | -| 68 | Worpitzky:Rev | DiagCol1 | B001710 | 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 3113510400 43589145600 653837184000 | -| 69 | Worpitzky:Rev | DiagCol2 | A005460 | 1 7 50 390 3360 31920 332640 3780000 46569600 618710400 8821612800 134399865600 2179457280000 | -| 70 | Worpitzky:Rev | DiagCol3 | A005461 | 1 15 180 2100 25200 317520 4233600 59875200 898128000 14270256000 239740300800 4249941696000 | -| 71 | Worpitzky:Rev | Poly | missing | 1 1 1 2 2 1 6 6 3 1 24 26 12 4 1 120 150 66 20 5 1 720 1082 480 132 30 6 1 5040 9366 4368 1140 230 | -| 72 | Worpitzky:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | -| 73 | Worpitzky:Rev | PolyRow2 | B002378 | 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | -| 74 | Worpitzky:Rev | PolyRow3 | missing | 6 26 66 132 230 366 546 776 1062 1410 1826 2316 2886 3542 4290 5136 6086 7146 8322 9620 11046 12606 | -| 75 | Worpitzky:Rev | PolyCol2 | A123227 | 1 3 12 66 480 4368 47712 608016 8855040 145083648 2641216512 52891055616 1155444326400 | -| 76 | Worpitzky:Rev | PolyCol3 | A201355 | 1 4 20 132 1140 12324 160020 2424132 41967540 817374564 17688328020 421061260932 10934334077940 | -| 77 | Worpitzky:Rev | PolyDiag | missing | 1 2 12 132 2280 56670 1907136 83094536 4533828480 302029998210 24079005772800 2260195356904716 | -| 78 | Worpitzky:Rev:Inv | Triangle | A106340 | 1 -1 1 1 -3 1 -1 9 -7 1 1 -45 55 -15 1 -1 585 -835 285 -31 1 1 -21105 30835 -11025 1351 -63 1 -1 | -| 79 | Worpitzky:Rev:Inv | Rev | missing | 1 1 -1 1 -3 1 1 -7 9 -1 1 -15 55 -45 1 1 -31 285 -835 585 -1 1 -63 1351 -11025 30835 -21105 1 1 | -| 80 | Worpitzky:Rev:Inv | Inv | A075263 | 1 1 1 2 3 1 6 12 7 1 24 60 50 15 1 120 360 390 180 31 1 720 2520 3360 2100 602 63 1 5040 20160 | -| 81 | Worpitzky:Rev:Inv | RevInv | A028246 | 1 1 1 1 3 2 1 7 12 6 1 15 50 60 24 1 31 180 390 360 120 1 63 602 2100 3360 2520 720 1 127 1932 | -| 82 | Worpitzky:Rev:Inv | InvRev | missing | 1 -1 1 -4 3 1 28 -20 -9 1 1464 -1050 -460 45 1 -831952 596726 261300 -25490 -585 1 -17603175360 | -| 83 | Worpitzky:Rev:Inv | Acc | missing | 1 -1 0 1 -2 -1 -1 8 1 2 1 -44 11 -4 -3 -1 584 -251 34 3 4 1 -21104 9731 -1294 57 -6 -5 -1 1858184 | -| 84 | Worpitzky:Rev:Inv | AccRev | missing | 1 1 0 1 -2 -1 1 -6 3 2 1 -14 41 -4 -3 1 -30 255 -580 5 4 1 -62 1289 -9736 21099 -6 -5 1 -126 5943 | -| 85 | Worpitzky:Rev:Inv | AntiDiag | missing | 1 -1 1 1 -1 -3 1 9 1 -1 -45 -7 1 585 55 1 -1 -21105 -835 -15 1 1858185 30835 285 1 -1 -367958745 | -| 86 | Worpitzky:Rev:Inv | Diffx1 | missing | 1 -1 2 1 -6 3 -1 18 -21 4 1 -90 165 -60 5 -1 1170 -2505 1140 -155 6 1 -42210 92505 -44100 6755 -378 | -| 87 | Worpitzky:Rev:Inv | RowSum | A023443 | 1 0 -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 16 -17 18 -19 20 -21 22 -23 24 -25 26 -27 28 -29 30 | -| 88 | Worpitzky:Rev:Inv | EvenSum | missing | 1 -1 2 -8 57 -867 32188 -2841694 562821143 -240405740633 216164051384514 -402860797699465140 | -| 89 | Worpitzky:Rev:Inv | OddSum | missing | 0 1 -3 10 -60 871 -32193 2841700 -562821150 240405740641 -216164051384523 402860797699465150 | -| 90 | Worpitzky:Rev:Inv | AltSum | missing | 1 -2 5 -18 117 -1738 64381 -5683394 1125642293 -480811481274 432328102769037 -805721595398930290 | -| 91 | Worpitzky:Rev:Inv | DiagSum | missing | 1 -1 2 -4 11 -53 642 -21956 1889307 -370689477 157709127298 -141551266403940 263584195784100907 | -| 92 | Worpitzky:Rev:Inv | AccSum | missing | 1 -1 -2 10 -39 373 -12620 1106852 -219148685 93606371383 -84167343442434 156861056845864270 | -| 93 | Worpitzky:Rev:Inv | AccRevSum | missing | 1 1 -2 0 21 -345 12580 -1106798 219148615 -93606371295 84167343442326 -156861056845864140 | -| 94 | Worpitzky:Rev:Inv | RowLcm | missing | 1 1 3 63 495 57542355 125599126275 16844027146592997737925 4147431491472964184928637039792321755 | -| 95 | Worpitzky:Rev:Inv | RowGcd | A090585 | 1 1 3 1 5 1 7 1 1 1 11 1 13 1 1 1 17 1 19 1 1 1 23 1 1 1 1 1 29 1 31 1 | -| 96 | Worpitzky:Rev:Inv | RowMax | missing | 1 1 3 9 55 835 30835 2719675 538607755 230061795355 206863086384955 385526761633044955 | -| 97 | Worpitzky:Rev:Inv | ColMiddle | missing | 1 -1 -3 9 55 -835 -11025 977445 24187051 -10332652771 -466233951645 868912857645525 | -| 98 | Worpitzky:Rev:Inv | CentralE | missing | 1 -3 55 -11025 24187051 -466233951645 72359887737458035 -88047674103739207102245 | -| 99 | Worpitzky:Rev:Inv | CentralO | missing | -1 9 -835 977445 -10332652771 868912857645525 -563456403054687663235 2806102018204396870180667445 | -| 100 | Worpitzky:Rev:Inv | BinConv | missing | 1 0 -4 6 92 -2730 135284 -14034930 2918895692 -1156949125050 806123604863612 -756668870152193922 | -| 101 | Worpitzky:Rev:Inv | InvBinConv | missing | 1 2 8 50 572 14282 830300 108725570 30630800492 18013225703162 21717959315898452 | -| 102 | Worpitzky:Rev:Inv | TransNat0 | missing | 0 1 -1 -2 24 -349 12585 -1106804 219148622 -93606371303 84167343442335 -156861056845864150 | -| 103 | Worpitzky:Rev:Inv | TransNat1 | missing | 1 1 -2 0 21 -345 12580 -1106798 219148615 -93606371295 84167343442326 -156861056845864140 | -| 104 | Worpitzky:Rev:Inv | TransSqrs | missing | 0 1 1 -10 56 -661 23087 -2026564 401232330 -171380368359 154098780819457 -287190927310026510 | -| 105 | Worpitzky:Rev:Inv | PosHalf | missing | 1 -1 -1 15 -153 3727 -264857 46582127 -18447200377 15758979504975 -28339771840307673 | -| 106 | Worpitzky:Rev:Inv | NegHalf | missing | 1 3 11 59 627 17275 1262515 222592347 88163189843 75316269568187 135443220585953139 | -| 107 | Worpitzky:Rev:Inv | DiagRow1 | A060152 | -1 -3 -7 -15 -31 -63 -127 -255 -511 -1023 -2047 -4095 -8191 -16383 -32767 -65535 -131071 -262143 | -| 108 | Worpitzky:Rev:Inv | DiagRow2 | A016269 | 1 9 55 285 1351 6069 26335 111645 465751 1921029 7859215 31964205 129442951 522538389 2104469695 | -| 109 | Worpitzky:Rev:Inv | DiagRow3 | missing | -1 -45 -835 -11025 -121891 -1213065 -11291995 -100551825 -868631731 -7346524185 -61207137355 | -| 110 | Worpitzky:Rev:Inv | DiagCol1 | A106341 | 1 -3 9 -45 585 -21105 1858185 -367958745 157169540745 -141321010837545 263377249955934345 | -| 111 | Worpitzky:Rev:Inv | DiagCol2 | missing | 1 -7 55 -835 30835 -2719675 538607755 -230061795355 206863086384955 -385526761633044955 | -| 112 | Worpitzky:Rev:Inv | DiagCol3 | missing | 1 -15 285 -11025 977445 -193649085 82717588485 -74376706042485 138614447472278085 | -| 113 | Worpitzky:Rev:Inv | Poly | A253667 | 1 -1 1 1 0 1 -1 -1 1 1 1 2 -1 2 1 -1 -3 -3 1 3 1 1 4 27 -10 5 4 1 -1 -5 -355 37 -13 11 5 1 1 6 | -| 114 | Worpitzky:Rev:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | -| 115 | Worpitzky:Rev:Inv | PolyRow2 | A165900 | 1 -1 -1 1 5 11 19 29 41 55 71 89 109 131 155 181 209 239 271 305 341 379 419 461 505 551 599 649 | -| 116 | Worpitzky:Rev:Inv | PolyRow3 | missing | -1 2 -3 -10 -13 -6 17 62 135 242 389 582 827 1130 1497 1934 2447 3042 3725 4502 5379 6362 7457 8670 | -| 117 | Worpitzky:Rev:Inv | PolyCol2 | missing | 1 1 -1 -3 27 -355 12595 -1106819 219148643 -93606371331 84167343442371 -156861056845864195 | -| 118 | Worpitzky:Rev:Inv | PolyCol3 | missing | 1 2 1 -10 37 -334 11377 -1000306 198091693 -84613108150 76080983338153 -141790667219471962 | -| 119 | Worpitzky:Rev:Inv | PolyDiag | missing | 1 0 -1 -10 -3 1424 -90305 10230366 -1915092487 416356246736 376832674245051 -2887257899812368490 | \ No newline at end of file +| 39 | Worpitzky:Alt | Triangle | A028246 | 1 1 -1 1 -3 2 1 -7 12 -6 1 -15 50 -60 24 1 -31 180 -390 360 -120 1 -63 602 -2100 3360 -2520 720 1 | +| 40 | Worpitzky:Alt | Rev | A075263 | 1 -1 1 2 -3 1 -6 12 -7 1 24 -60 50 -15 1 -120 360 -390 180 -31 1 720 -2520 3360 -2100 602 -63 1 | +| 41 | Worpitzky:Alt | InvRev | A106340 | 1 1 1 1 3 1 1 9 7 1 1 45 55 15 1 1 585 835 285 31 1 1 21105 30835 11025 1351 63 1 1 1858185 2719675 | +| 42 | Worpitzky:Alt | Acc | B131689 | 1 1 0 1 -2 0 1 -6 6 0 1 -14 36 -24 0 1 -30 150 -240 120 0 1 -62 540 -1560 1800 -720 0 1 -126 1806 | +| 43 | Worpitzky:Alt | AccRev | missing | 1 -1 0 2 -1 0 -6 6 -1 0 24 -36 14 -1 0 -120 240 -150 30 -1 0 720 -1800 1560 -540 62 -1 0 -5040 | +| 44 | Worpitzky:Alt | AntiDiag | missing | 1 1 1 -1 1 -3 1 -7 2 1 -15 12 1 -31 50 -6 1 -63 180 -60 1 -127 602 -390 24 1 -255 1932 -2100 360 1 | +| 45 | Worpitzky:Alt | Diffx1 | A019538 | 1 1 -2 1 -6 6 1 -14 36 -24 1 -30 150 -240 120 1 -62 540 -1560 1800 -720 1 -126 1806 -8400 16800 | +| 46 | Worpitzky:Alt | EvenSum | A000670 | 1 1 3 13 75 541 4683 47293 545835 7087261 102247563 1622632573 28091567595 526858348381 | +| 47 | Worpitzky:Alt | OddSum | B000670 | 0 -1 -3 -13 -75 -541 -4683 -47293 -545835 -7087261 -102247563 -1622632573 -28091567595 | +| 48 | Worpitzky:Alt | AltSum | A000629 | 1 2 6 26 150 1082 9366 94586 1091670 14174522 204495126 3245265146 56183135190 1053716696762 | +| 49 | Worpitzky:Alt | DiagSum | missing | 1 1 0 -2 -4 -2 14 58 110 -62 -1426 -6302 -14050 17698 355934 1985698 6063710 -3010142 -182151586 | +| 50 | Worpitzky:Alt | RowLcm | missing | 1 1 6 84 600 145080 2167200 453138235200 319959556963200 481032520489720080000 | +| 51 | Worpitzky:Alt | RowMax | missing | 1 1 3 12 60 390 3360 31920 332640 4233600 59875200 898128000 14495120640 273158645760 5368729766400 | +| 52 | Worpitzky:Alt | ColMiddle | missing | 1 1 -3 -7 50 180 -2100 -10206 166824 1020600 -21538440 -158838240 4115105280 35517081600 | +| 53 | Worpitzky:Alt | CentralE | B185157 | 1 -3 50 -2100 166824 -21538440 4115105280 -1091804313600 384202115256960 -173201547619900800 | +| 54 | Worpitzky:Alt | CentralO | missing | 1 -7 180 -10206 1020600 -158838240 35517081600 -10794490827120 4280991956841600 | +| 55 | Worpitzky:Alt | ColRight | A000142 | 1 -1 2 -6 24 -120 720 -5040 40320 -362880 3628800 -39916800 479001600 -6227020800 87178291200 | +| 56 | Worpitzky:Alt | BinConv | A343584 | 1 0 -3 10 25 -574 2653 30234 -644079 2438722 102934381 -2094370486 680814121 762930678498 | +| 57 | Worpitzky:Alt | InvBinConv | A000169 | 1 -2 9 -64 625 -7776 117649 -2097152 43046721 -1000000000 25937424601 -743008370688 23298085122481 | +| 58 | Worpitzky:Alt | TransNat0 | A011584 | 0 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 | +| 59 | Worpitzky:Alt | TransSqrs | A344920 | 0 -1 5 -13 29 -61 125 -253 509 -1021 2045 -4093 8189 -16381 32765 -65533 131069 -262141 524285 | +| 60 | Worpitzky:Alt | PosHalf | A009006 | 1 1 0 -2 0 16 0 -272 0 7936 0 -353792 0 22368256 0 -1903757312 0 209865342976 0 -29088885112832 0 | +| 61 | Worpitzky:Alt | NegHalf | A123227 | 1 -3 12 -66 480 -4368 47712 -608016 8855040 -145083648 2641216512 -52891055616 1155444326400 | +| 62 | Worpitzky:Alt | DiagRow1 | B105752 | 1 -3 12 -60 360 -2520 20160 -181440 1814400 -19958400 239500800 -3113510400 43589145600 | +| 63 | Worpitzky:Alt | DiagRow2 | A005460 | 1 -7 50 -390 3360 -31920 332640 -3780000 46569600 -618710400 8821612800 -134399865600 2179457280000 | +| 64 | Worpitzky:Alt | DiagRow3 | A005461 | 1 -15 180 -2100 25200 -317520 4233600 -59875200 898128000 -14270256000 239740300800 -4249941696000 | +| 65 | Worpitzky:Alt | DiagCol1 | A060152 | -1 -3 -7 -15 -31 -63 -127 -255 -511 -1023 -2047 -4095 -8191 -16383 -32767 -65535 -131071 -262143 | +| 66 | Worpitzky:Alt | DiagCol2 | B028243 | 2 12 50 180 602 1932 6050 18660 57002 173052 523250 1577940 4750202 14283372 42915650 128878020 | +| 67 | Worpitzky:Alt | DiagCol3 | B028244 | -6 -60 -390 -2100 -10206 -46620 -204630 -874500 -3669006 -15195180 -62350470 -254135700 -1030793406 | +| 68 | Worpitzky:Alt | Poly | A107889 | 1 1 1 1 0 1 1 0 -1 1 1 0 3 -2 1 1 0 -13 10 -3 1 1 0 75 -74 21 -4 1 1 0 -541 730 -219 36 -5 1 1 0 | +| 69 | Worpitzky:Alt | PolyRow1 | A023443 | 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -25 -26 | +| 70 | Worpitzky:Alt | PolyRow2 | A014105 | 1 0 3 10 21 36 55 78 105 136 171 210 253 300 351 406 465 528 595 666 741 820 903 990 1081 1176 1275 | +| 71 | Worpitzky:Alt | PolyRow3 | B094421 | 1 0 -13 -74 -219 -484 -905 -1518 -2359 -3464 -4869 -6610 -8723 -11244 -14209 -17654 -21615 -26128 | +| 72 | Worpitzky:Alt | PolyCol2 | A000670 | 1 -1 3 -13 75 -541 4683 -47293 545835 -7087261 102247563 -1622632573 28091567595 -526858348381 | +| 73 | Worpitzky:Alt | PolyCol3 | A004123 | 1 -2 10 -74 730 -9002 133210 -2299754 45375130 -1007179562 24840104410 -673895590634 19944372341530 | +| 74 | Worpitzky:Alt | PolyDiag | missing | 1 0 3 -74 3045 -194404 17919055 -2258233998 373405001865 -78468091562888 20431783142389971 | +| 75 | Worpitzky:Rev | Triangle | A075263 | 1 1 1 2 3 1 6 12 7 1 24 60 50 15 1 120 360 390 180 31 1 720 2520 3360 2100 602 63 1 5040 20160 | +| 76 | Worpitzky:Rev | Inv | A106340 | 1 -1 1 1 -3 1 -1 9 -7 1 1 -45 55 -15 1 -1 585 -835 285 -31 1 1 -21105 30835 -11025 1351 -63 1 -1 | +| 77 | Worpitzky:Rev | RevInv | missing | 1 1 -1 1 -3 1 1 -7 9 -1 1 -15 55 -45 1 1 -31 285 -835 585 -1 1 -63 1351 -11025 30835 -21105 1 1 | +| 78 | Worpitzky:Rev | Acc | A054255 | 1 1 2 2 5 6 6 18 25 26 24 84 134 149 150 120 480 870 1050 1081 1082 720 3240 6600 8700 9302 9365 | +| 79 | Worpitzky:Rev | AccRev | missing | 1 1 2 1 4 6 1 8 20 26 1 16 66 126 150 1 32 212 602 962 1082 1 64 666 2766 6126 8646 9366 1 128 2060 | +| 80 | Worpitzky:Rev | AntiDiag | missing | 1 1 2 1 6 3 24 12 1 120 60 7 720 360 50 1 5040 2520 390 15 40320 20160 3360 180 1 362880 181440 | +| 81 | Worpitzky:Rev | Diffx1 | missing | 1 1 2 2 6 3 6 24 21 4 24 120 150 60 5 120 720 1170 720 155 6 720 5040 10080 8400 3010 378 7 5040 | +| 82 | Worpitzky:Rev | RowSum | A000629 | 1 2 6 26 150 1082 9366 94586 1091670 14174522 204495126 3245265146 56183135190 1053716696762 | +| 83 | Worpitzky:Rev | EvenSum | A000670 | 1 1 3 13 75 541 4683 47293 545835 7087261 102247563 1622632573 28091567595 526858348381 | +| 84 | Worpitzky:Rev | OddSum | B000670 | 0 1 3 13 75 541 4683 47293 545835 7087261 102247563 1622632573 28091567595 526858348381 | +| 85 | Worpitzky:Rev | DiagSum | missing | 1 1 3 9 37 187 1131 7965 64021 578371 5801643 63982989 769474357 10021902787 140534274891 | +| 86 | Worpitzky:Rev | AccSum | B000670 | 1 3 13 75 541 4683 47293 545835 7087261 102247563 1622632573 28091567595 526858348381 | +| 87 | Worpitzky:Rev | AccRevSum | missing | 1 3 11 55 359 2891 27635 305439 3829439 53672179 831308939 14096879303 259705544279 5164407480987 | +| 88 | Worpitzky:Rev | RowLcm | missing | 1 1 6 84 600 145080 2167200 453138235200 319959556963200 481032520489720080000 | +| 89 | Worpitzky:Rev | RowMax | missing | 1 1 3 12 60 390 3360 31920 332640 4233600 59875200 898128000 14495120640 273158645760 5368729766400 | +| 90 | Worpitzky:Rev | ColMiddle | missing | 1 1 3 12 50 390 2100 25200 166824 2739240 21538440 451725120 4115105280 105398092800 1091804313600 | +| 91 | Worpitzky:Rev | CentralE | B185157 | 1 3 50 2100 166824 21538440 4115105280 1091804313600 384202115256960 173201547619900800 | +| 92 | Worpitzky:Rev | CentralO | missing | 1 12 390 25200 2739240 451725120 105398092800 33094020960000 13467262000832640 6897777008118796800 | +| 93 | Worpitzky:Rev | ColLeft | A000142 | 1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 6227020800 87178291200 | +| 94 | Worpitzky:Rev | BinConv | A000169 | 1 2 9 64 625 7776 117649 2097152 43046721 1000000000 25937424601 743008370688 23298085122481 | +| 95 | Worpitzky:Rev | InvBinConv | A343584 | 1 0 -3 10 25 -574 2653 30234 -644079 2438722 102934381 -2094370486 680814121 762930678498 | +| 96 | Worpitzky:Rev | TransNat0 | missing | 0 1 5 29 209 1809 18269 210853 2737769 39497657 626813813 10851614157 203522409089 4110690784225 | +| 97 | Worpitzky:Rev | TransNat1 | missing | 1 3 11 55 359 2891 27635 305439 3829439 53672179 831308939 14096879303 259705544279 5164407480987 | +| 98 | Worpitzky:Rev | TransSqrs | missing | 0 1 7 49 411 4061 46103 590857 8434723 132693445 2280461151 42503949137 853875100235 18391793396653 | +| 99 | Worpitzky:Rev | PosHalf | A201339 | 1 3 15 111 1095 13503 199815 3449631 68062695 1510769343 37260156615 1010843385951 29916558512295 | +| 100 | Worpitzky:Rev | NegHalf | A000670 | 1 -1 3 -13 75 -541 4683 -47293 545835 -7087261 102247563 -1622632573 28091567595 -526858348381 | +| 101 | Worpitzky:Rev | DiagRow1 | A060152 | 1 3 7 15 31 63 127 255 511 1023 2047 4095 8191 16383 32767 65535 131071 262143 524287 1048575 | +| 102 | Worpitzky:Rev | DiagRow2 | B028243 | 2 12 50 180 602 1932 6050 18660 57002 173052 523250 1577940 4750202 14283372 42915650 128878020 | +| 103 | Worpitzky:Rev | DiagRow3 | B028244 | 6 60 390 2100 10206 46620 204630 874500 3669006 15195180 62350470 254135700 1030793406 4166023740 | +| 104 | Worpitzky:Rev | DiagCol1 | B001710 | 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 3113510400 43589145600 653837184000 | +| 105 | Worpitzky:Rev | DiagCol2 | A005460 | 1 7 50 390 3360 31920 332640 3780000 46569600 618710400 8821612800 134399865600 2179457280000 | +| 106 | Worpitzky:Rev | DiagCol3 | A005461 | 1 15 180 2100 25200 317520 4233600 59875200 898128000 14270256000 239740300800 4249941696000 | +| 107 | Worpitzky:Rev | Poly | missing | 1 1 1 2 2 1 6 6 3 1 24 26 12 4 1 120 150 66 20 5 1 720 1082 480 132 30 6 1 5040 9366 4368 1140 230 | +| 108 | Worpitzky:Rev | PolyRow1 | A000027 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | +| 109 | Worpitzky:Rev | PolyRow2 | B002378 | 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 420 462 506 552 600 650 702 756 | +| 110 | Worpitzky:Rev | PolyRow3 | missing | 6 26 66 132 230 366 546 776 1062 1410 1826 2316 2886 3542 4290 5136 6086 7146 8322 9620 11046 12606 | +| 111 | Worpitzky:Rev | PolyCol2 | A123227 | 1 3 12 66 480 4368 47712 608016 8855040 145083648 2641216512 52891055616 1155444326400 | +| 112 | Worpitzky:Rev | PolyCol3 | A201355 | 1 4 20 132 1140 12324 160020 2424132 41967540 817374564 17688328020 421061260932 10934334077940 | +| 113 | Worpitzky:Rev | PolyDiag | missing | 1 2 12 132 2280 56670 1907136 83094536 4533828480 302029998210 24079005772800 2260195356904716 | +| 114 | Worpitzky:Rev:Inv | Triangle | A106340 | 1 -1 1 1 -3 1 -1 9 -7 1 1 -45 55 -15 1 -1 585 -835 285 -31 1 1 -21105 30835 -11025 1351 -63 1 -1 | +| 115 | Worpitzky:Rev:Inv | Rev | missing | 1 1 -1 1 -3 1 1 -7 9 -1 1 -15 55 -45 1 1 -31 285 -835 585 -1 1 -63 1351 -11025 30835 -21105 1 1 | +| 116 | Worpitzky:Rev:Inv | Inv | A075263 | 1 1 1 2 3 1 6 12 7 1 24 60 50 15 1 120 360 390 180 31 1 720 2520 3360 2100 602 63 1 5040 20160 | +| 117 | Worpitzky:Rev:Inv | RevInv | A028246 | 1 1 1 1 3 2 1 7 12 6 1 15 50 60 24 1 31 180 390 360 120 1 63 602 2100 3360 2520 720 1 127 1932 | +| 118 | Worpitzky:Rev:Inv | InvRev | missing | 1 -1 1 -4 3 1 28 -20 -9 1 1464 -1050 -460 45 1 -831952 596726 261300 -25490 -585 1 -17603175360 | +| 119 | Worpitzky:Rev:Inv | Acc | missing | 1 -1 0 1 -2 -1 -1 8 1 2 1 -44 11 -4 -3 -1 584 -251 34 3 4 1 -21104 9731 -1294 57 -6 -5 -1 1858184 | +| 120 | Worpitzky:Rev:Inv | AccRev | missing | 1 1 0 1 -2 -1 1 -6 3 2 1 -14 41 -4 -3 1 -30 255 -580 5 4 1 -62 1289 -9736 21099 -6 -5 1 -126 5943 | +| 121 | Worpitzky:Rev:Inv | AntiDiag | missing | 1 -1 1 1 -1 -3 1 9 1 -1 -45 -7 1 585 55 1 -1 -21105 -835 -15 1 1858185 30835 285 1 -1 -367958745 | +| 122 | Worpitzky:Rev:Inv | Diffx1 | missing | 1 -1 2 1 -6 3 -1 18 -21 4 1 -90 165 -60 5 -1 1170 -2505 1140 -155 6 1 -42210 92505 -44100 6755 -378 | +| 123 | Worpitzky:Rev:Inv | RowSum | A023443 | 1 0 -1 2 -3 4 -5 6 -7 8 -9 10 -11 12 -13 14 -15 16 -17 18 -19 20 -21 22 -23 24 -25 26 -27 28 -29 30 | +| 124 | Worpitzky:Rev:Inv | EvenSum | missing | 1 -1 2 -8 57 -867 32188 -2841694 562821143 -240405740633 216164051384514 -402860797699465140 | +| 125 | Worpitzky:Rev:Inv | OddSum | missing | 0 1 -3 10 -60 871 -32193 2841700 -562821150 240405740641 -216164051384523 402860797699465150 | +| 126 | Worpitzky:Rev:Inv | AltSum | missing | 1 -2 5 -18 117 -1738 64381 -5683394 1125642293 -480811481274 432328102769037 -805721595398930290 | +| 127 | Worpitzky:Rev:Inv | DiagSum | missing | 1 -1 2 -4 11 -53 642 -21956 1889307 -370689477 157709127298 -141551266403940 263584195784100907 | +| 128 | Worpitzky:Rev:Inv | AccSum | missing | 1 -1 -2 10 -39 373 -12620 1106852 -219148685 93606371383 -84167343442434 156861056845864270 | +| 129 | Worpitzky:Rev:Inv | AccRevSum | missing | 1 1 -2 0 21 -345 12580 -1106798 219148615 -93606371295 84167343442326 -156861056845864140 | +| 130 | Worpitzky:Rev:Inv | RowLcm | missing | 1 1 3 63 495 57542355 125599126275 16844027146592997737925 4147431491472964184928637039792321755 | +| 131 | Worpitzky:Rev:Inv | RowGcd | A090585 | 1 1 3 1 5 1 7 1 1 1 11 1 13 1 1 1 17 1 19 1 1 1 23 1 1 1 1 1 29 1 31 1 | +| 132 | Worpitzky:Rev:Inv | RowMax | missing | 1 1 3 9 55 835 30835 2719675 538607755 230061795355 206863086384955 385526761633044955 | +| 133 | Worpitzky:Rev:Inv | ColMiddle | missing | 1 -1 -3 9 55 -835 -11025 977445 24187051 -10332652771 -466233951645 868912857645525 | +| 134 | Worpitzky:Rev:Inv | CentralE | missing | 1 -3 55 -11025 24187051 -466233951645 72359887737458035 -88047674103739207102245 | +| 135 | Worpitzky:Rev:Inv | CentralO | missing | -1 9 -835 977445 -10332652771 868912857645525 -563456403054687663235 2806102018204396870180667445 | +| 136 | Worpitzky:Rev:Inv | BinConv | missing | 1 0 -4 6 92 -2730 135284 -14034930 2918895692 -1156949125050 806123604863612 -756668870152193922 | +| 137 | Worpitzky:Rev:Inv | InvBinConv | missing | 1 2 8 50 572 14282 830300 108725570 30630800492 18013225703162 21717959315898452 | +| 138 | Worpitzky:Rev:Inv | TransNat0 | missing | 0 1 -1 -2 24 -349 12585 -1106804 219148622 -93606371303 84167343442335 -156861056845864150 | +| 139 | Worpitzky:Rev:Inv | TransNat1 | missing | 1 1 -2 0 21 -345 12580 -1106798 219148615 -93606371295 84167343442326 -156861056845864140 | +| 140 | Worpitzky:Rev:Inv | TransSqrs | missing | 0 1 1 -10 56 -661 23087 -2026564 401232330 -171380368359 154098780819457 -287190927310026510 | +| 141 | Worpitzky:Rev:Inv | PosHalf | missing | 1 -1 -1 15 -153 3727 -264857 46582127 -18447200377 15758979504975 -28339771840307673 | +| 142 | Worpitzky:Rev:Inv | NegHalf | missing | 1 3 11 59 627 17275 1262515 222592347 88163189843 75316269568187 135443220585953139 | +| 143 | Worpitzky:Rev:Inv | DiagRow1 | A060152 | -1 -3 -7 -15 -31 -63 -127 -255 -511 -1023 -2047 -4095 -8191 -16383 -32767 -65535 -131071 -262143 | +| 144 | Worpitzky:Rev:Inv | DiagRow2 | A016269 | 1 9 55 285 1351 6069 26335 111645 465751 1921029 7859215 31964205 129442951 522538389 2104469695 | +| 145 | Worpitzky:Rev:Inv | DiagRow3 | missing | -1 -45 -835 -11025 -121891 -1213065 -11291995 -100551825 -868631731 -7346524185 -61207137355 | +| 146 | Worpitzky:Rev:Inv | DiagCol1 | A106341 | 1 -3 9 -45 585 -21105 1858185 -367958745 157169540745 -141321010837545 263377249955934345 | +| 147 | Worpitzky:Rev:Inv | DiagCol2 | missing | 1 -7 55 -835 30835 -2719675 538607755 -230061795355 206863086384955 -385526761633044955 | +| 148 | Worpitzky:Rev:Inv | DiagCol3 | missing | 1 -15 285 -11025 977445 -193649085 82717588485 -74376706042485 138614447472278085 | +| 149 | Worpitzky:Rev:Inv | Poly | A253667 | 1 -1 1 1 0 1 -1 -1 1 1 1 2 -1 2 1 -1 -3 -3 1 3 1 1 4 27 -10 5 4 1 -1 -5 -355 37 -13 11 5 1 1 6 | +| 150 | Worpitzky:Rev:Inv | PolyRow1 | A023443 | -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | +| 151 | Worpitzky:Rev:Inv | PolyRow2 | A165900 | 1 -1 -1 1 5 11 19 29 41 55 71 89 109 131 155 181 209 239 271 305 341 379 419 461 505 551 599 649 | +| 152 | Worpitzky:Rev:Inv | PolyRow3 | missing | -1 2 -3 -10 -13 -6 17 62 135 242 389 582 827 1130 1497 1934 2447 3042 3725 4502 5379 6362 7457 8670 | +| 153 | Worpitzky:Rev:Inv | PolyCol2 | missing | 1 1 -1 -3 27 -355 12595 -1106819 219148643 -93606371331 84167343442371 -156861056845864195 | +| 154 | Worpitzky:Rev:Inv | PolyCol3 | missing | 1 2 1 -10 37 -334 11377 -1000306 198091693 -84613108150 76080983338153 -141790667219471962 | +| 155 | Worpitzky:Rev:Inv | PolyDiag | missing | 1 0 -1 -10 -3 1424 -90305 10230366 -1915092487 416356246736 376832674245051 -2887257899812368490 | \ No newline at end of file diff --git a/data/md/Zarankiewicz.md b/data/md/Zarankiewicz.md index 6f1fff6..3a6e674 100644 --- a/data/md/Zarankiewicz.md +++ b/data/md/Zarankiewicz.md @@ -1,83 +1,124 @@ -| | triangle | trait | anum | seq | -|---:|:-----------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| -| 0 | Zarankiewicz:Std | Triangle | missing | 1 2 4 4 8 16 6 12 24 36 9 18 36 54 81 12 24 48 72 108 144 16 32 64 96 144 192 256 20 40 80 120 180 | -| 1 | Zarankiewicz:Std | Rev | missing | 1 4 2 16 8 4 36 24 12 6 81 54 36 18 9 144 108 72 48 24 12 256 192 144 96 64 32 16 400 320 240 180 | -| 2 | Zarankiewicz:Std | Acc | missing | 1 2 6 4 12 28 6 18 42 78 9 27 63 117 198 12 36 84 156 264 408 16 48 112 208 352 544 800 20 60 140 | -| 3 | Zarankiewicz:Std | AccRev | missing | 1 4 6 16 24 28 36 60 72 78 81 135 171 189 198 144 252 324 372 396 408 256 448 592 688 752 784 800 | -| 4 | Zarankiewicz:Std | AntiDiag | missing | 1 2 4 4 6 8 9 12 16 12 18 24 16 24 36 36 20 32 48 54 25 40 64 72 81 30 50 80 96 108 36 60 100 120 | -| 5 | Zarankiewicz:Std | Diffx1 | missing | 1 2 8 4 16 48 6 24 72 144 9 36 108 216 405 12 48 144 288 540 864 16 64 192 384 720 1152 1792 20 80 | -| 6 | Zarankiewicz:Std | RowSum | missing | 1 6 28 78 198 408 800 1400 2375 3750 5796 8526 12348 17248 23808 31968 42525 55350 71500 90750 | -| 7 | Zarankiewicz:Std | EvenSum | missing | 1 2 20 30 126 168 480 600 1375 1650 3276 3822 6860 7840 13056 14688 23085 25650 38500 42350 61226 | -| 8 | Zarankiewicz:Std | OddSum | missing | 0 4 8 48 72 240 320 800 1000 2100 2520 4704 5488 9408 10752 17280 19440 29700 33000 48400 53240 | -| 9 | Zarankiewicz:Std | AltSum | missing | 1 -2 12 -18 54 -72 160 -200 375 -450 756 -882 1372 -1568 2304 -2592 3645 -4050 5500 -6050 7986 | -| 10 | Zarankiewicz:Std | DiagSum | missing | 1 2 8 14 37 54 112 154 282 364 604 756 1178 1428 2108 2508 3563 4158 5708 6578 8799 10010 13076 | -| 11 | Zarankiewicz:Std | AccSum | missing | 1 8 44 144 414 960 2080 4000 7375 12600 20916 32928 50764 75264 109824 155520 217485 297000 401500 | -| 12 | Zarankiewicz:Std | AccRevSum | missing | 1 10 68 246 774 1896 4320 8600 16375 28650 48636 77910 122108 183456 271104 387936 547965 754650 | -| 13 | Zarankiewicz:Std | RowLcm | missing | 1 4 16 72 324 432 2304 14400 90000 108000 129600 1058400 8643600 9878400 45158400 50803200 | -| 14 | Zarankiewicz:Std | RowGcd | A025699 | 1 2 4 6 9 12 16 20 25 30 36 42 49 56 64 72 81 90 100 110 121 132 144 156 169 182 196 210 225 240 | -| 15 | Zarankiewicz:Std | RowMax | B030179 | 1 4 16 36 81 144 256 400 625 900 1296 1764 2401 3136 4096 5184 6561 8100 10000 12100 14641 17424 | -| 16 | Zarankiewicz:Std | ColMiddle | missing | 1 2 8 12 36 48 96 120 225 270 432 504 784 896 1280 1440 2025 2250 3000 3300 4356 4752 6048 6552 | -| 17 | Zarankiewicz:Std | CentralE | missing | 1 8 36 96 225 432 784 1280 2025 3000 4356 6048 8281 10976 14400 18432 | -| 18 | Zarankiewicz:Std | CentralO | missing | 2 12 48 120 270 504 896 1440 2250 3300 4752 6552 8918 11760 15360 19584 | -| 19 | Zarankiewicz:Std | ColLeft | A025699 | 1 2 4 6 9 12 16 20 25 30 36 42 49 56 64 72 81 90 100 110 121 132 144 156 169 182 196 210 225 240 | -| 20 | Zarankiewicz:Std | ColRight | B030179 | 1 4 16 36 81 144 256 400 625 900 1296 1764 2401 3136 4096 5184 6561 8100 10000 12100 14641 17424 | -| 21 | Zarankiewicz:Std | BinConv | missing | 1 6 36 150 594 2016 6656 20160 60000 168960 470016 1257984 3336704 8601600 22020096 55148544 | -| 22 | Zarankiewicz:Std | InvBinConv | missing | 1 2 4 -6 18 -48 128 -320 800 -1920 4608 -10752 25088 -57344 131072 -294912 663552 -1474560 3276800 | -| 23 | Zarankiewicz:Std | TransNat0 | missing | 0 4 40 168 576 1488 3520 7200 14000 24900 42840 69384 109760 166208 247296 355968 505440 699300 | -| 24 | Zarankiewicz:Std | TransNat1 | missing | 1 10 68 246 774 1896 4320 8600 16375 28650 48636 77910 122108 183456 271104 387936 547965 754650 | -| 25 | Zarankiewicz:Std | TransSqrs | missing | 0 4 72 432 1944 6192 17472 41440 91800 183060 349272 620928 1070160 1753024 2806272 4323456 6543504 | -| 26 | Zarankiewicz:Std | PosHalf | missing | 1 8 48 180 621 1800 5056 13040 33225 80640 194832 456372 1067269 2442608 5587200 12576384 28303425 | -| 27 | Zarankiewicz:Std | NegHalf | missing | 1 0 16 -12 117 -168 704 -1360 4025 -8760 22320 -50316 119805 -270704 622848 -1396224 3148065 | -| 28 | Zarankiewicz:Std | DiagRow1 | B330520 | 2 8 24 54 108 192 320 500 750 1080 1512 2058 2744 3584 4608 5832 7290 9000 11000 13310 15972 19008 | -| 29 | Zarankiewicz:Std | DiagRow2 | B307182 | 4 12 36 72 144 240 400 600 900 1260 1764 2352 3136 4032 5184 6480 8100 9900 12100 14520 17424 20592 | -| 30 | Zarankiewicz:Std | DiagRow3 | missing | 6 18 48 96 180 300 480 720 1050 1470 2016 2688 3528 4536 5760 7200 8910 10890 13200 15840 18876 | -| 31 | Zarankiewicz:Std | DiagCol1 | B007590 | 4 8 12 18 24 32 40 50 60 72 84 98 112 128 144 162 180 200 220 242 264 288 312 338 364 392 420 450 | -| 32 | Zarankiewicz:Std | DiagCol2 | B137932 | 16 24 36 48 64 80 100 120 144 168 196 224 256 288 324 360 400 440 484 528 576 624 676 728 784 840 | -| 33 | Zarankiewicz:Std | DiagCol3 | B319127 | 36 54 72 96 120 150 180 216 252 294 336 384 432 486 540 600 660 726 792 864 936 1014 1092 1176 1260 | -| 34 | Zarankiewicz:Std | Poly | missing | 1 2 1 4 6 1 6 28 10 1 9 78 84 14 1 12 198 414 172 18 1 16 408 1917 1230 292 22 1 20 800 7164 8406 | -| 35 | Zarankiewicz:Std | PolyRow1 | A016825 | 2 6 10 14 18 22 26 30 34 38 42 46 50 54 58 62 66 70 74 78 82 86 90 94 98 102 106 110 114 118 122 | -| 36 | Zarankiewicz:Std | PolyRow2 | missing | 4 28 84 172 292 444 628 844 1092 1372 1684 2028 2404 2812 3252 3724 4228 4764 5332 5932 6564 7228 | -| 37 | Zarankiewicz:Std | PolyRow3 | missing | 6 78 414 1230 2742 5166 8718 13614 20070 28302 38526 50958 65814 83310 103662 127086 153798 184014 | -| 38 | Zarankiewicz:Std | PolyCol2 | missing | 1 10 84 414 1917 7164 25936 83620 264525 778230 2260980 6250482 17126725 45263512 118838592 | -| 39 | Zarankiewicz:Std | PolyCol3 | missing | 1 14 172 1230 8406 46200 248224 1185080 5581975 24413070 105823188 435947694 1784595484 7039334624 | -| 40 | Zarankiewicz:Std | PolyDiag | missing | 1 6 84 1230 24849 527832 13646800 371576120 11650029225 384111524550 14137822671156 545720910643566 | -| 41 | Zarankiewicz:Rev | Triangle | missing | 1 4 2 16 8 4 36 24 12 6 81 54 36 18 9 144 108 72 48 24 12 256 192 144 96 64 32 16 400 320 240 180 | -| 42 | Zarankiewicz:Rev | Acc | missing | 1 4 6 16 24 28 36 60 72 78 81 135 171 189 198 144 252 324 372 396 408 256 448 592 688 752 784 800 | -| 43 | Zarankiewicz:Rev | AccRev | missing | 1 2 6 4 12 28 6 18 42 78 9 27 63 117 198 12 36 84 156 264 408 16 48 112 208 352 544 800 20 60 140 | -| 44 | Zarankiewicz:Rev | AntiDiag | missing | 1 4 16 2 36 8 81 24 4 144 54 12 256 108 36 6 400 192 72 18 625 320 144 48 9 900 500 240 96 24 1296 | -| 45 | Zarankiewicz:Rev | Diffx1 | missing | 1 4 4 16 16 12 36 48 36 24 81 108 108 72 45 144 216 216 192 120 72 256 384 432 384 320 192 112 400 | -| 46 | Zarankiewicz:Rev | RowSum | missing | 1 6 28 78 198 408 800 1400 2375 3750 5796 8526 12348 17248 23808 31968 42525 55350 71500 90750 | -| 47 | Zarankiewicz:Rev | EvenSum | missing | 1 4 20 48 126 240 480 800 1375 2100 3276 4704 6860 9408 13056 17280 23085 29700 38500 48400 61226 | -| 48 | Zarankiewicz:Rev | OddSum | missing | 0 2 8 30 72 168 320 600 1000 1650 2520 3822 5488 7840 10752 14688 19440 25650 33000 42350 53240 | -| 49 | Zarankiewicz:Rev | AltSum | missing | 1 2 12 18 54 72 160 200 375 450 756 882 1372 1568 2304 2592 3645 4050 5500 6050 7986 8712 11232 | -| 50 | Zarankiewicz:Rev | DiagSum | missing | 1 4 18 44 109 210 406 682 1146 1760 2702 3896 5614 7724 10620 14092 18687 24092 31042 39092 49203 | -| 51 | Zarankiewicz:Rev | AccSum | missing | 1 10 68 246 774 1896 4320 8600 16375 28650 48636 77910 122108 183456 271104 387936 547965 754650 | -| 52 | Zarankiewicz:Rev | AccRevSum | missing | 1 8 44 144 414 960 2080 4000 7375 12600 20916 32928 50764 75264 109824 155520 217485 297000 401500 | -| 53 | Zarankiewicz:Rev | RowLcm | missing | 1 4 16 72 324 432 2304 14400 90000 108000 129600 1058400 8643600 9878400 45158400 50803200 | -| 54 | Zarankiewicz:Rev | RowGcd | A025699 | 1 2 4 6 9 12 16 20 25 30 36 42 49 56 64 72 81 90 100 110 121 132 144 156 169 182 196 210 225 240 | -| 55 | Zarankiewicz:Rev | RowMax | B030179 | 1 4 16 36 81 144 256 400 625 900 1296 1764 2401 3136 4096 5184 6561 8100 10000 12100 14641 17424 | -| 56 | Zarankiewicz:Rev | ColMiddle | missing | 1 4 8 24 36 72 96 180 225 360 432 672 784 1120 1280 1800 2025 2700 3000 3960 4356 5544 6048 7644 | -| 57 | Zarankiewicz:Rev | CentralE | missing | 1 8 36 96 225 432 784 1280 2025 3000 4356 6048 8281 10976 14400 18432 | -| 58 | Zarankiewicz:Rev | CentralO | missing | 4 24 72 180 360 672 1120 1800 2700 3960 5544 7644 10192 13440 17280 22032 | -| 59 | Zarankiewicz:Rev | ColLeft | B030179 | 1 4 16 36 81 144 256 400 625 900 1296 1764 2401 3136 4096 5184 6561 8100 10000 12100 14641 17424 | -| 60 | Zarankiewicz:Rev | ColRight | A025699 | 1 2 4 6 9 12 16 20 25 30 36 42 49 56 64 72 81 90 100 110 121 132 144 156 169 182 196 210 225 240 | -| 61 | Zarankiewicz:Rev | BinConv | missing | 1 6 36 150 594 2016 6656 20160 60000 168960 470016 1257984 3336704 8601600 22020096 55148544 | -| 62 | Zarankiewicz:Rev | InvBinConv | missing | 1 -2 4 6 18 48 128 320 800 1920 4608 10752 25088 57344 131072 294912 663552 1474560 3276800 7208960 | -| 63 | Zarankiewicz:Rev | TransNat0 | missing | 0 2 16 66 216 552 1280 2600 5000 8850 15120 24402 38416 58016 86016 123552 174960 241650 330000 | -| 64 | Zarankiewicz:Rev | TransNat1 | missing | 1 8 44 144 414 960 2080 4000 7375 12600 20916 32928 50764 75264 109824 155520 217485 297000 401500 | -| 65 | Zarankiewicz:Rev | TransSqrs | missing | 0 2 24 126 504 1512 4032 9240 19800 38610 72072 126126 214032 346528 548352 837216 1255824 1831410 | -| 66 | Zarankiewicz:Rev | PosHalf | missing | 1 10 84 414 1917 7164 25936 83620 264525 778230 2260980 6250482 17126725 45263512 118838592 | -| 67 | Zarankiewicz:Rev | NegHalf | missing | 1 -6 52 -210 981 -3300 11984 -36220 114725 -323130 939348 -2516766 6898269 -17806376 46758720 | -| 68 | Zarankiewicz:Rev | DiagRow1 | B007590 | 4 8 12 18 24 32 40 50 60 72 84 98 112 128 144 162 180 200 220 242 264 288 312 338 364 392 420 450 | -| 69 | Zarankiewicz:Rev | DiagRow2 | B137932 | 16 24 36 48 64 80 100 120 144 168 196 224 256 288 324 360 400 440 484 528 576 624 676 728 784 840 | -| 70 | Zarankiewicz:Rev | DiagRow3 | B319127 | 36 54 72 96 120 150 180 216 252 294 336 384 432 486 540 600 660 726 792 864 936 1014 1092 1176 1260 | -| 71 | Zarankiewicz:Rev | DiagCol1 | B330520 | 2 8 24 54 108 192 320 500 750 1080 1512 2058 2744 3584 4608 5832 7290 9000 11000 13310 15972 19008 | -| 72 | Zarankiewicz:Rev | DiagCol2 | B307182 | 4 12 36 72 144 240 400 600 900 1260 1764 2352 3136 4032 5184 6480 8100 9900 12100 14520 17424 20592 | -| 73 | Zarankiewicz:Rev | DiagCol3 | missing | 6 18 48 96 180 300 480 720 1050 1470 2016 2688 3528 4536 5760 7200 8910 10890 13200 15840 18876 | -| 74 | Zarankiewicz:Rev | Poly | missing | 1 4 1 16 6 1 36 28 8 1 81 78 48 10 1 144 198 180 76 12 1 256 408 621 378 112 14 1 400 800 1800 1782 | -| 75 | Zarankiewicz:Rev | PolyRow1 | A063127 | 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 | -| 76 | Zarankiewicz:Rev | PolyRow2 | missing | 16 28 48 76 112 156 208 268 336 412 496 588 688 796 912 1036 1168 1308 1456 1612 1776 1948 2128 | -| 77 | Zarankiewicz:Rev | PolyRow3 | missing | 36 78 180 378 708 1206 1908 2850 4068 5598 7476 9738 12420 15558 19188 23346 28068 33390 39348 | -| 78 | Zarankiewicz:Rev | PolyCol2 | missing | 1 8 48 180 621 1800 5056 13040 33225 80640 194832 456372 1067269 2442608 5587200 12576384 28303425 | -| 79 | Zarankiewicz:Rev | PolyCol3 | missing | 1 10 76 378 1782 7272 29344 110440 414775 1494090 5380020 18831834 65913820 225993376 774838528 | -| 80 | Zarankiewicz:Rev | PolyDiag | missing | 1 6 48 378 4329 60984 1105600 22885640 556523025 14893744950 448933782096 14620368592746 | \ No newline at end of file +| | triangle | trait | anum | seq | +|----:|:-----------------|:-----------|:--------|:----------------------------------------------------------------------------------------------------| +| 0 | Zarankiewicz:Std | Triangle | missing | 1 2 4 4 8 16 6 12 24 36 9 18 36 54 81 12 24 48 72 108 144 16 32 64 96 144 192 256 20 40 80 120 180 | +| 1 | Zarankiewicz:Std | Rev | missing | 1 4 2 16 8 4 36 24 12 6 81 54 36 18 9 144 108 72 48 24 12 256 192 144 96 64 32 16 400 320 240 180 | +| 2 | Zarankiewicz:Std | Acc | missing | 1 2 6 4 12 28 6 18 42 78 9 27 63 117 198 12 36 84 156 264 408 16 48 112 208 352 544 800 20 60 140 | +| 3 | Zarankiewicz:Std | AccRev | missing | 1 4 6 16 24 28 36 60 72 78 81 135 171 189 198 144 252 324 372 396 408 256 448 592 688 752 784 800 | +| 4 | Zarankiewicz:Std | AntiDiag | missing | 1 2 4 4 6 8 9 12 16 12 18 24 16 24 36 36 20 32 48 54 25 40 64 72 81 30 50 80 96 108 36 60 100 120 | +| 5 | Zarankiewicz:Std | Diffx1 | missing | 1 2 8 4 16 48 6 24 72 144 9 36 108 216 405 12 48 144 288 540 864 16 64 192 384 720 1152 1792 20 80 | +| 6 | Zarankiewicz:Std | RowSum | missing | 1 6 28 78 198 408 800 1400 2375 3750 5796 8526 12348 17248 23808 31968 42525 55350 71500 90750 | +| 7 | Zarankiewicz:Std | EvenSum | missing | 1 2 20 30 126 168 480 600 1375 1650 3276 3822 6860 7840 13056 14688 23085 25650 38500 42350 61226 | +| 8 | Zarankiewicz:Std | OddSum | missing | 0 4 8 48 72 240 320 800 1000 2100 2520 4704 5488 9408 10752 17280 19440 29700 33000 48400 53240 | +| 9 | Zarankiewicz:Std | AltSum | missing | 1 -2 12 -18 54 -72 160 -200 375 -450 756 -882 1372 -1568 2304 -2592 3645 -4050 5500 -6050 7986 | +| 10 | Zarankiewicz:Std | DiagSum | missing | 1 2 8 14 37 54 112 154 282 364 604 756 1178 1428 2108 2508 3563 4158 5708 6578 8799 10010 13076 | +| 11 | Zarankiewicz:Std | AccSum | missing | 1 8 44 144 414 960 2080 4000 7375 12600 20916 32928 50764 75264 109824 155520 217485 297000 401500 | +| 12 | Zarankiewicz:Std | AccRevSum | missing | 1 10 68 246 774 1896 4320 8600 16375 28650 48636 77910 122108 183456 271104 387936 547965 754650 | +| 13 | Zarankiewicz:Std | RowLcm | missing | 1 4 16 72 324 432 2304 14400 90000 108000 129600 1058400 8643600 9878400 45158400 50803200 | +| 14 | Zarankiewicz:Std | RowGcd | A025699 | 1 2 4 6 9 12 16 20 25 30 36 42 49 56 64 72 81 90 100 110 121 132 144 156 169 182 196 210 225 240 | +| 15 | Zarankiewicz:Std | RowMax | B030179 | 1 4 16 36 81 144 256 400 625 900 1296 1764 2401 3136 4096 5184 6561 8100 10000 12100 14641 17424 | +| 16 | Zarankiewicz:Std | ColMiddle | missing | 1 2 8 12 36 48 96 120 225 270 432 504 784 896 1280 1440 2025 2250 3000 3300 4356 4752 6048 6552 | +| 17 | Zarankiewicz:Std | CentralE | missing | 1 8 36 96 225 432 784 1280 2025 3000 4356 6048 8281 10976 14400 18432 | +| 18 | Zarankiewicz:Std | CentralO | missing | 2 12 48 120 270 504 896 1440 2250 3300 4752 6552 8918 11760 15360 19584 | +| 19 | Zarankiewicz:Std | ColLeft | A025699 | 1 2 4 6 9 12 16 20 25 30 36 42 49 56 64 72 81 90 100 110 121 132 144 156 169 182 196 210 225 240 | +| 20 | Zarankiewicz:Std | ColRight | B030179 | 1 4 16 36 81 144 256 400 625 900 1296 1764 2401 3136 4096 5184 6561 8100 10000 12100 14641 17424 | +| 21 | Zarankiewicz:Std | BinConv | missing | 1 6 36 150 594 2016 6656 20160 60000 168960 470016 1257984 3336704 8601600 22020096 55148544 | +| 22 | Zarankiewicz:Std | InvBinConv | missing | 1 2 4 -6 18 -48 128 -320 800 -1920 4608 -10752 25088 -57344 131072 -294912 663552 -1474560 3276800 | +| 23 | Zarankiewicz:Std | TransNat0 | missing | 0 4 40 168 576 1488 3520 7200 14000 24900 42840 69384 109760 166208 247296 355968 505440 699300 | +| 24 | Zarankiewicz:Std | TransNat1 | missing | 1 10 68 246 774 1896 4320 8600 16375 28650 48636 77910 122108 183456 271104 387936 547965 754650 | +| 25 | Zarankiewicz:Std | TransSqrs | missing | 0 4 72 432 1944 6192 17472 41440 91800 183060 349272 620928 1070160 1753024 2806272 4323456 6543504 | +| 26 | Zarankiewicz:Std | PosHalf | missing | 1 8 48 180 621 1800 5056 13040 33225 80640 194832 456372 1067269 2442608 5587200 12576384 28303425 | +| 27 | Zarankiewicz:Std | NegHalf | missing | 1 0 16 -12 117 -168 704 -1360 4025 -8760 22320 -50316 119805 -270704 622848 -1396224 3148065 | +| 28 | Zarankiewicz:Std | DiagRow1 | B330520 | 2 8 24 54 108 192 320 500 750 1080 1512 2058 2744 3584 4608 5832 7290 9000 11000 13310 15972 19008 | +| 29 | Zarankiewicz:Std | DiagRow2 | B307182 | 4 12 36 72 144 240 400 600 900 1260 1764 2352 3136 4032 5184 6480 8100 9900 12100 14520 17424 20592 | +| 30 | Zarankiewicz:Std | DiagRow3 | missing | 6 18 48 96 180 300 480 720 1050 1470 2016 2688 3528 4536 5760 7200 8910 10890 13200 15840 18876 | +| 31 | Zarankiewicz:Std | DiagCol1 | B007590 | 4 8 12 18 24 32 40 50 60 72 84 98 112 128 144 162 180 200 220 242 264 288 312 338 364 392 420 450 | +| 32 | Zarankiewicz:Std | DiagCol2 | B137932 | 16 24 36 48 64 80 100 120 144 168 196 224 256 288 324 360 400 440 484 528 576 624 676 728 784 840 | +| 33 | Zarankiewicz:Std | DiagCol3 | B319127 | 36 54 72 96 120 150 180 216 252 294 336 384 432 486 540 600 660 726 792 864 936 1014 1092 1176 1260 | +| 34 | Zarankiewicz:Std | Poly | missing | 1 2 1 4 6 1 6 28 10 1 9 78 84 14 1 12 198 414 172 18 1 16 408 1917 1230 292 22 1 20 800 7164 8406 | +| 35 | Zarankiewicz:Std | PolyRow1 | A016825 | 2 6 10 14 18 22 26 30 34 38 42 46 50 54 58 62 66 70 74 78 82 86 90 94 98 102 106 110 114 118 122 | +| 36 | Zarankiewicz:Std | PolyRow2 | missing | 4 28 84 172 292 444 628 844 1092 1372 1684 2028 2404 2812 3252 3724 4228 4764 5332 5932 6564 7228 | +| 37 | Zarankiewicz:Std | PolyRow3 | missing | 6 78 414 1230 2742 5166 8718 13614 20070 28302 38526 50958 65814 83310 103662 127086 153798 184014 | +| 38 | Zarankiewicz:Std | PolyCol2 | missing | 1 10 84 414 1917 7164 25936 83620 264525 778230 2260980 6250482 17126725 45263512 118838592 | +| 39 | Zarankiewicz:Std | PolyCol3 | missing | 1 14 172 1230 8406 46200 248224 1185080 5581975 24413070 105823188 435947694 1784595484 7039334624 | +| 40 | Zarankiewicz:Std | PolyDiag | missing | 1 6 84 1230 24849 527832 13646800 371576120 11650029225 384111524550 14137822671156 545720910643566 | +| 41 | Zarankiewicz:Alt | Triangle | missing | 1 2 -4 4 -8 16 6 -12 24 -36 9 -18 36 -54 81 12 -24 48 -72 108 -144 16 -32 64 -96 144 -192 256 20 | +| 42 | Zarankiewicz:Alt | Rev | missing | 1 -4 2 16 -8 4 -36 24 -12 6 81 -54 36 -18 9 -144 108 -72 48 -24 12 256 -192 144 -96 64 -32 16 -400 | +| 43 | Zarankiewicz:Alt | Acc | missing | 1 2 -2 4 -4 12 6 -6 18 -18 9 -9 27 -27 54 12 -12 36 -36 72 -72 16 -16 48 -48 96 -96 160 20 -20 60 | +| 44 | Zarankiewicz:Alt | AccRev | missing | 1 -4 -2 16 8 12 -36 -12 -24 -18 81 27 63 45 54 -144 -36 -108 -60 -84 -72 256 64 208 112 176 144 160 | +| 45 | Zarankiewicz:Alt | AntiDiag | missing | 1 2 4 -4 6 -8 9 -12 16 12 -18 24 16 -24 36 -36 20 -32 48 -54 25 -40 64 -72 81 30 -50 80 -96 108 36 | +| 46 | Zarankiewicz:Alt | Diffx1 | missing | 1 2 -8 4 -16 48 6 -24 72 -144 9 -36 108 -216 405 12 -48 144 -288 540 -864 16 -64 192 -384 720 -1152 | +| 47 | Zarankiewicz:Alt | RowSum | missing | 1 -2 12 -18 54 -72 160 -200 375 -450 756 -882 1372 -1568 2304 -2592 3645 -4050 5500 -6050 7986 | +| 48 | Zarankiewicz:Alt | EvenSum | missing | 1 2 20 30 126 168 480 600 1375 1650 3276 3822 6860 7840 13056 14688 23085 25650 38500 42350 61226 | +| 49 | Zarankiewicz:Alt | OddSum | missing | 0 -4 -8 -48 -72 -240 -320 -800 -1000 -2100 -2520 -4704 -5488 -9408 -10752 -17280 -19440 -29700 | +| 50 | Zarankiewicz:Alt | AltSum | missing | 1 6 28 78 198 408 800 1400 2375 3750 5796 8526 12348 17248 23808 31968 42525 55350 71500 90750 | +| 51 | Zarankiewicz:Alt | DiagSum | missing | 1 2 0 -2 13 18 -8 -18 58 72 -44 -72 170 200 -140 -200 395 450 -340 -450 791 882 -700 -882 1428 1568 | +| 52 | Zarankiewicz:Alt | AccSum | missing | 1 0 12 0 54 0 160 0 375 0 756 0 1372 0 2304 0 3645 0 5500 0 7986 0 11232 0 15379 0 20580 0 27000 0 | +| 53 | Zarankiewicz:Alt | AccRevSum | missing | 1 -6 36 -90 270 -504 1120 -1800 3375 -4950 8316 -11466 17836 -23520 34560 -44064 61965 -76950 | +| 54 | Zarankiewicz:Alt | RowLcm | missing | 1 4 16 72 324 432 2304 14400 90000 108000 129600 1058400 8643600 9878400 45158400 50803200 | +| 55 | Zarankiewicz:Alt | RowGcd | A025699 | 1 2 4 6 9 12 16 20 25 30 36 42 49 56 64 72 81 90 100 110 121 132 144 156 169 182 196 210 225 240 | +| 56 | Zarankiewicz:Alt | RowMax | B030179 | 1 4 16 36 81 144 256 400 625 900 1296 1764 2401 3136 4096 5184 6561 8100 10000 12100 14641 17424 | +| 57 | Zarankiewicz:Alt | ColMiddle | missing | 1 2 -8 -12 36 48 -96 -120 225 270 -432 -504 784 896 -1280 -1440 2025 2250 -3000 -3300 4356 4752 | +| 58 | Zarankiewicz:Alt | CentralE | missing | 1 -8 36 -96 225 -432 784 -1280 2025 -3000 4356 -6048 8281 -10976 14400 -18432 | +| 59 | Zarankiewicz:Alt | CentralO | missing | 2 -12 48 -120 270 -504 896 -1440 2250 -3300 4752 -6552 8918 -11760 15360 -19584 | +| 60 | Zarankiewicz:Alt | ColLeft | A025699 | 1 2 4 6 9 12 16 20 25 30 36 42 49 56 64 72 81 90 100 110 121 132 144 156 169 182 196 210 225 240 | +| 61 | Zarankiewicz:Alt | ColRight | B030179 | 1 -4 16 -36 81 -144 256 -400 625 -900 1296 -1764 2401 -3136 4096 -5184 6561 -8100 10000 -12100 | +| 62 | Zarankiewicz:Alt | BinConv | missing | 1 -2 4 6 18 48 128 320 800 1920 4608 10752 25088 57344 131072 294912 663552 1474560 3276800 7208960 | +| 63 | Zarankiewicz:Alt | InvBinConv | missing | 1 -6 36 -150 594 -2016 6656 -20160 60000 -168960 470016 -1257984 3336704 -8601600 22020096 | +| 64 | Zarankiewicz:Alt | TransNat0 | missing | 0 -4 24 -72 216 -432 960 -1600 3000 -4500 7560 -10584 16464 -21952 32256 -41472 58320 -72900 99000 | +| 65 | Zarankiewicz:Alt | TransNat1 | missing | 1 -6 36 -90 270 -504 1120 -1800 3375 -4950 8316 -11466 17836 -23520 34560 -44064 61965 -76950 | +| 66 | Zarankiewicz:Alt | TransSqrs | missing | 0 -4 56 -240 936 -2352 6080 -12000 25000 -42900 78120 -122304 203056 -297920 462336 -646272 952560 | +| 67 | Zarankiewicz:Alt | PosHalf | missing | 1 0 16 12 117 168 704 1360 4025 8760 22320 50316 119805 270704 622848 1396224 3148065 6987600 | +| 68 | Zarankiewicz:Alt | NegHalf | missing | 1 -8 48 -180 621 -1800 5056 -13040 33225 -80640 194832 -456372 1067269 -2442608 5587200 -12576384 | +| 69 | Zarankiewicz:Alt | DiagRow1 | B330520 | 2 -8 24 -54 108 -192 320 -500 750 -1080 1512 -2058 2744 -3584 4608 -5832 7290 -9000 11000 -13310 | +| 70 | Zarankiewicz:Alt | DiagRow2 | B307182 | 4 -12 36 -72 144 -240 400 -600 900 -1260 1764 -2352 3136 -4032 5184 -6480 8100 -9900 12100 -14520 | +| 71 | Zarankiewicz:Alt | DiagRow3 | missing | 6 -18 48 -96 180 -300 480 -720 1050 -1470 2016 -2688 3528 -4536 5760 -7200 8910 -10890 13200 -15840 | +| 72 | Zarankiewicz:Alt | DiagCol1 | B007590 | -4 -8 -12 -18 -24 -32 -40 -50 -60 -72 -84 -98 -112 -128 -144 -162 -180 -200 -220 -242 -264 -288 | +| 73 | Zarankiewicz:Alt | DiagCol2 | B137932 | 16 24 36 48 64 80 100 120 144 168 196 224 256 288 324 360 400 440 484 528 576 624 676 728 784 840 | +| 74 | Zarankiewicz:Alt | DiagCol3 | B319127 | -36 -54 -72 -96 -120 -150 -180 -216 -252 -294 -336 -384 -432 -486 -540 -600 -660 -726 -792 -864 | +| 75 | Zarankiewicz:Alt | Poly | missing | 1 2 1 4 -2 1 6 12 -6 1 9 -18 52 -10 1 12 54 -210 124 -14 1 16 -72 981 -786 228 -18 1 20 160 -3300 | +| 76 | Zarankiewicz:Alt | PolyRow1 | A016825 | 2 -2 -6 -10 -14 -18 -22 -26 -30 -34 -38 -42 -46 -50 -54 -58 -62 -66 -70 -74 -78 -82 -86 -90 -94 -98 | +| 77 | Zarankiewicz:Alt | PolyRow2 | missing | 4 12 52 124 228 364 532 732 964 1228 1524 1852 2212 2604 3028 3484 3972 4492 5044 5628 6244 6892 | +| 78 | Zarankiewicz:Alt | PolyRow3 | missing | 6 -18 -210 -786 -1962 -3954 -6978 -11250 -16986 -24402 -33714 -45138 -58890 -75186 -94242 -116274 | +| 79 | Zarankiewicz:Alt | PolyCol2 | missing | 1 -6 52 -210 981 -3300 11984 -36220 114725 -323130 939348 -2516766 6898269 -17806376 46758720 | +| 80 | Zarankiewicz:Alt | PolyCol3 | missing | 1 -10 124 -786 5382 -27816 149536 -687880 3240775 -13825770 59936580 -242561298 993001660 | +| 81 | Zarankiewicz:Alt | PolyDiag | missing | 1 -2 52 -786 17793 -390408 10618960 -295408520 9533062025 -319027697250 11963335837716 | +| 82 | Zarankiewicz:Rev | Triangle | missing | 1 4 2 16 8 4 36 24 12 6 81 54 36 18 9 144 108 72 48 24 12 256 192 144 96 64 32 16 400 320 240 180 | +| 83 | Zarankiewicz:Rev | Acc | missing | 1 4 6 16 24 28 36 60 72 78 81 135 171 189 198 144 252 324 372 396 408 256 448 592 688 752 784 800 | +| 84 | Zarankiewicz:Rev | AccRev | missing | 1 2 6 4 12 28 6 18 42 78 9 27 63 117 198 12 36 84 156 264 408 16 48 112 208 352 544 800 20 60 140 | +| 85 | Zarankiewicz:Rev | AntiDiag | missing | 1 4 16 2 36 8 81 24 4 144 54 12 256 108 36 6 400 192 72 18 625 320 144 48 9 900 500 240 96 24 1296 | +| 86 | Zarankiewicz:Rev | Diffx1 | missing | 1 4 4 16 16 12 36 48 36 24 81 108 108 72 45 144 216 216 192 120 72 256 384 432 384 320 192 112 400 | +| 87 | Zarankiewicz:Rev | RowSum | missing | 1 6 28 78 198 408 800 1400 2375 3750 5796 8526 12348 17248 23808 31968 42525 55350 71500 90750 | +| 88 | Zarankiewicz:Rev | EvenSum | missing | 1 4 20 48 126 240 480 800 1375 2100 3276 4704 6860 9408 13056 17280 23085 29700 38500 48400 61226 | +| 89 | Zarankiewicz:Rev | OddSum | missing | 0 2 8 30 72 168 320 600 1000 1650 2520 3822 5488 7840 10752 14688 19440 25650 33000 42350 53240 | +| 90 | Zarankiewicz:Rev | AltSum | missing | 1 2 12 18 54 72 160 200 375 450 756 882 1372 1568 2304 2592 3645 4050 5500 6050 7986 8712 11232 | +| 91 | Zarankiewicz:Rev | DiagSum | missing | 1 4 18 44 109 210 406 682 1146 1760 2702 3896 5614 7724 10620 14092 18687 24092 31042 39092 49203 | +| 92 | Zarankiewicz:Rev | AccSum | missing | 1 10 68 246 774 1896 4320 8600 16375 28650 48636 77910 122108 183456 271104 387936 547965 754650 | +| 93 | Zarankiewicz:Rev | AccRevSum | missing | 1 8 44 144 414 960 2080 4000 7375 12600 20916 32928 50764 75264 109824 155520 217485 297000 401500 | +| 94 | Zarankiewicz:Rev | RowLcm | missing | 1 4 16 72 324 432 2304 14400 90000 108000 129600 1058400 8643600 9878400 45158400 50803200 | +| 95 | Zarankiewicz:Rev | RowGcd | A025699 | 1 2 4 6 9 12 16 20 25 30 36 42 49 56 64 72 81 90 100 110 121 132 144 156 169 182 196 210 225 240 | +| 96 | Zarankiewicz:Rev | RowMax | B030179 | 1 4 16 36 81 144 256 400 625 900 1296 1764 2401 3136 4096 5184 6561 8100 10000 12100 14641 17424 | +| 97 | Zarankiewicz:Rev | ColMiddle | missing | 1 4 8 24 36 72 96 180 225 360 432 672 784 1120 1280 1800 2025 2700 3000 3960 4356 5544 6048 7644 | +| 98 | Zarankiewicz:Rev | CentralE | missing | 1 8 36 96 225 432 784 1280 2025 3000 4356 6048 8281 10976 14400 18432 | +| 99 | Zarankiewicz:Rev | CentralO | missing | 4 24 72 180 360 672 1120 1800 2700 3960 5544 7644 10192 13440 17280 22032 | +| 100 | Zarankiewicz:Rev | ColLeft | B030179 | 1 4 16 36 81 144 256 400 625 900 1296 1764 2401 3136 4096 5184 6561 8100 10000 12100 14641 17424 | +| 101 | Zarankiewicz:Rev | ColRight | A025699 | 1 2 4 6 9 12 16 20 25 30 36 42 49 56 64 72 81 90 100 110 121 132 144 156 169 182 196 210 225 240 | +| 102 | Zarankiewicz:Rev | BinConv | missing | 1 6 36 150 594 2016 6656 20160 60000 168960 470016 1257984 3336704 8601600 22020096 55148544 | +| 103 | Zarankiewicz:Rev | InvBinConv | missing | 1 -2 4 6 18 48 128 320 800 1920 4608 10752 25088 57344 131072 294912 663552 1474560 3276800 7208960 | +| 104 | Zarankiewicz:Rev | TransNat0 | missing | 0 2 16 66 216 552 1280 2600 5000 8850 15120 24402 38416 58016 86016 123552 174960 241650 330000 | +| 105 | Zarankiewicz:Rev | TransNat1 | missing | 1 8 44 144 414 960 2080 4000 7375 12600 20916 32928 50764 75264 109824 155520 217485 297000 401500 | +| 106 | Zarankiewicz:Rev | TransSqrs | missing | 0 2 24 126 504 1512 4032 9240 19800 38610 72072 126126 214032 346528 548352 837216 1255824 1831410 | +| 107 | Zarankiewicz:Rev | PosHalf | missing | 1 10 84 414 1917 7164 25936 83620 264525 778230 2260980 6250482 17126725 45263512 118838592 | +| 108 | Zarankiewicz:Rev | NegHalf | missing | 1 -6 52 -210 981 -3300 11984 -36220 114725 -323130 939348 -2516766 6898269 -17806376 46758720 | +| 109 | Zarankiewicz:Rev | DiagRow1 | B007590 | 4 8 12 18 24 32 40 50 60 72 84 98 112 128 144 162 180 200 220 242 264 288 312 338 364 392 420 450 | +| 110 | Zarankiewicz:Rev | DiagRow2 | B137932 | 16 24 36 48 64 80 100 120 144 168 196 224 256 288 324 360 400 440 484 528 576 624 676 728 784 840 | +| 111 | Zarankiewicz:Rev | DiagRow3 | B319127 | 36 54 72 96 120 150 180 216 252 294 336 384 432 486 540 600 660 726 792 864 936 1014 1092 1176 1260 | +| 112 | Zarankiewicz:Rev | DiagCol1 | B330520 | 2 8 24 54 108 192 320 500 750 1080 1512 2058 2744 3584 4608 5832 7290 9000 11000 13310 15972 19008 | +| 113 | Zarankiewicz:Rev | DiagCol2 | B307182 | 4 12 36 72 144 240 400 600 900 1260 1764 2352 3136 4032 5184 6480 8100 9900 12100 14520 17424 20592 | +| 114 | Zarankiewicz:Rev | DiagCol3 | missing | 6 18 48 96 180 300 480 720 1050 1470 2016 2688 3528 4536 5760 7200 8910 10890 13200 15840 18876 | +| 115 | Zarankiewicz:Rev | Poly | missing | 1 4 1 16 6 1 36 28 8 1 81 78 48 10 1 144 198 180 76 12 1 256 408 621 378 112 14 1 400 800 1800 1782 | +| 116 | Zarankiewicz:Rev | PolyRow1 | A063127 | 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 | +| 117 | Zarankiewicz:Rev | PolyRow2 | missing | 16 28 48 76 112 156 208 268 336 412 496 588 688 796 912 1036 1168 1308 1456 1612 1776 1948 2128 | +| 118 | Zarankiewicz:Rev | PolyRow3 | missing | 36 78 180 378 708 1206 1908 2850 4068 5598 7476 9738 12420 15558 19188 23346 28068 33390 39348 | +| 119 | Zarankiewicz:Rev | PolyCol2 | missing | 1 8 48 180 621 1800 5056 13040 33225 80640 194832 456372 1067269 2442608 5587200 12576384 28303425 | +| 120 | Zarankiewicz:Rev | PolyCol3 | missing | 1 10 76 378 1782 7272 29344 110440 414775 1494090 5380020 18831834 65913820 225993376 774838528 | +| 121 | Zarankiewicz:Rev | PolyDiag | missing | 1 6 48 378 4329 60984 1105600 22885640 556523025 14893744950 448933782096 14620368592746 | \ No newline at end of file diff --git a/src/BinomialMinus.py b/src/BinomialMinus.py new file mode 100644 index 0000000..2c5078d --- /dev/null +++ b/src/BinomialMinus.py @@ -0,0 +1,39 @@ +from functools import cache +from _tabltypes import MakeTriangle + +"""Binomial coefficients (-n, k), signless. + +[0] [1] +[1] [1, 1] +[2] [1, 2, 3] +[3] [1, 3, 6, 10] +[4] [1, 4, 10, 20, 35] +[5] [1, 5, 15, 35, 70, 126] +[6] [1, 6, 21, 56, 126, 252, 462] +[7] [1, 7, 28, 84, 210, 462, 924, 1716] +[8] [1, 8, 36, 120, 330, 792, 1716, 3432, 6435] +[9] [1, 9, 45, 165, 495, 1287, 3003, 6435, 12870, 24310] +""" + + +@cache +def binomialminus(n: int) -> list[int]: + if n == 0: + return [1] + + row = [1 for _ in range(n + 1)] + row[1] = n + for k in range(1, n): + row[k + 1] = (row[k] * (n + k)) // (k + 1) + return row + + +@MakeTriangle(binomialminus, "BinomialMinus", ["A059481", "A027555"], True) +def BinomialMinus(n: int, k: int) -> int: + return binomialminus(n)[k] + + +if __name__ == "__main__": + from _tabltest import TablTest + + TablTest(BinomialMinus) diff --git a/src/_statictics.txt b/src/_oldstatistics.txt similarity index 97% rename from src/_statictics.txt rename to src/_oldstatistics.txt index 19bea2f..fbcdc3e 100644 --- a/src/_statictics.txt +++ b/src/_oldstatistics.txt @@ -316,9 +316,9 @@ The number of ... distinct hashes is 54. core triangles is 1. distinct types is 2. - missing sequences is 18. - all A-numbers is 63. - distinct A-numbers is 40. + missing sequences is 17. + all A-numbers is 64. + distinct A-numbers is 41. * Statistic about FussCatalan: The number of ... @@ -602,13 +602,13 @@ The number of ... * Statistic about RisingFact: The number of ... - all hashes is 168. + all hashes is 127. distinct hashes is 88. core triangles is 1. - distinct types is 4. - missing sequences is 18. - all A-numbers is 150. - distinct A-numbers is 73. + distinct types is 3. + missing sequences is 83. + all A-numbers is 44. + distinct A-numbers is 21. * Statistic about Schroeder: The number of ... @@ -792,19 +792,18 @@ The number of ... * Statistic about traits: The number of ... - all hashes is 9700. - distinct hashes is 4480. + all hashes is 9659. + distinct hashes is 4556. core triangles is 79. distinct types is 5. - missing sequences is 3948. - all A-numbers is 5752. - distinct A-numbers is 1712. + missing sequences is 4012. + all A-numbers is 5647. + distinct A-numbers is 1722. Ranking of triangles with regard to their impact: [87] ('A048993', 'StirlingSet', 168, 102, 1, 4, 17, 151, 87) [82] ('A132393', 'StirlingCyc', 168, 103, 1, 4, 25, 143, 82) -[73] ('A008279', 'RisingFact', 168, 88, 1, 4, 18, 150, 73) [67] ('A008279', 'FallingFact', 127, 80, 1, 3, 14, 113, 67) [65] ('A064189', 'MotzkinGF', 168, 101, 1, 4, 49, 119, 65) [65] ('A072233', 'Partition', 168, 98, 1, 4, 45, 123, 65) @@ -813,7 +812,7 @@ Ranking of triangles with regard to their impact: [61] ('A122538', 'Schroeder', 168, 103, 1, 4, 49, 119, 61) [60] ('A113704', 'Divisibility', 168, 88, 1, 4, 36, 132, 60) [60] ('A363914', 'MoebiusMat', 168, 88, 1, 4, 36, 132, 60) -# ... >= 60 + [58] ('A038207', 'BinaryPell', 168, 71, 1, 4, 19, 149, 58) [55] ('A137452', 'Abel', 168, 105, 1, 4, 69, 99, 55) [55] ('A271703', 'Lah', 168, 74, 1, 4, 33, 135, 55) @@ -823,15 +822,15 @@ Ranking of triangles with regard to their impact: [47] ('A049310', 'ChebyshevS', 168, 87, 1, 4, 56, 112, 47) [47] ('A008290', 'Rencontres', 168, 99, 1, 4, 69, 99, 47) [46] ('A119879', 'EulerSec', 168, 89, 1, 4, 63, 105, 46) -# 45 <= ... < 60 + [43] ('A173018', 'Eulerian', 127, 88, 1, 3, 49, 78, 43) [43] ('A002262', 'Ordinals', 81, 46, 1, 2, 2, 79, 43) [42] ('A124644', 'BinomialCatalan', 127, 92, 1, 3, 62, 65, 42) [42] ('A028338', 'StirlingCycB', 171, 104, 1, 4, 84, 87, 42) [41] ('A106465', 'ChristTree', 128, 62, 1, 3, 26, 102, 41) [41] ('A008288', 'Delannoy', 128, 79, 1, 3, 41, 87, 41) +[41] ('A131689', 'Fubini', 81, 54, 1, 2, 17, 64, 41) [41] ('A000012', 'One', 128, 43, 1, 3, 2, 126, 41) -[40] ('A131689', 'Fubini', 81, 54, 1, 2, 18, 63, 40) [40] ('A021009', 'Laguerre', 168, 73, 1, 4, 57, 111, 40) [38] ('A007318', 'Binomial', 131, 40, 1, 3, 3, 128, 38) [36] ('A056857', 'BinomialBell', 168, 101, 1, 4, 97, 71, 36) @@ -848,7 +847,7 @@ Ranking of triangles with regard to their impact: [30] ('A022166', 'Gaussq2', 128, 79, 1, 3, 55, 73, 30) [30] ('A354794', 'Lehmer', 168, 105, 1, 4, 105, 63, 30) [30] ('A172094', 'SchroederL', 171, 104, 1, 4, 104, 67, 30) -# 30 <= ... < 45 + [28] ('A000027', 'Naturals', 81, 55, 1, 2, 34, 47, 28) [28] ('A358622', 'StirlingCyc2', 81, 51, 1, 2, 36, 45, 28) [27] ('A034851', 'Lozanic', 128, 77, 1, 3, 78, 50, 27) @@ -867,6 +866,7 @@ Ranking of triangles with regard to their impact: [23] ('A139600', 'Polygonal', 81, 53, 1, 2, 41, 40, 23) [23] ('A196347', 'PowLaguerre', 41, 29, 1, 1, 7, 34, 23) [21] ('A026820', 'PartitionMax', 81, 53, 1, 2, 44, 37, 21) +[21] ('A124320', 'RisingFact', 127, 88, 1, 3, 83, 44, 21) [21] ('A269939', 'WardSet', 81, 55, 1, 2, 47, 34, 21) [20] ('A354267', 'Fibonacci', 84, 53, 1, 2, 46, 38, 20) [20] ('A154602', 'StirlingSetB', 171, 104, 1, 4, 129, 42, 20) @@ -883,4 +883,4 @@ Ranking of triangles with regard to their impact: [15] ('A060821', 'HermiteH', 81, 49, 1, 2, 50, 31, 15) [15] ('A360603', 'LabeledGraphs', 81, 54, 1, 2, 54, 27, 15) [10] ('A297703', 'Genocchi', 81, 53, 1, 2, 59, 22, 10) -[9] ('A298368', 'Zarankiewicz', 81, 54, 1, 2, 61, 20, 9) +[9] ('A298368', 'Zarankiewicz', 81, 54, 1, 2, 61, 20, 9) diff --git a/src/_statistics.txt b/src/_statistics.txt new file mode 100644 index 0000000..52102e9 --- /dev/null +++ b/src/_statistics.txt @@ -0,0 +1,899 @@ +And here are the new statistics with the current ranking: + + +* Statistic about Abel: +The number of ... + all hashes is 211. + distinct hashes is 118. + core triangles is 1. + distinct types is 5. + missing sequences is 86. + all A-numbers is 125. + distinct A-numbers is 60. + +* Statistic about Baxter: +The number of ... + all hashes is 127. + distinct hashes is 69. + core triangles is 1. + distinct types is 3. + missing sequences is 82. + all A-numbers is 45. + distinct A-numbers is 18. + +* Statistic about Bell: +The number of ... + all hashes is 122. + distinct hashes is 67. + core triangles is 1. + distinct types is 3. + missing sequences is 57. + all A-numbers is 65. + distinct A-numbers is 25. + +* Statistic about Bessel: +The number of ... + all hashes is 211. + distinct hashes is 116. + core triangles is 1. + distinct types is 5. + missing sequences is 89. + all A-numbers is 122. + distinct A-numbers is 55. + +* Statistic about Bessel2: +The number of ... + all hashes is 169. + distinct hashes is 65. + core triangles is 1. + distinct types is 4. + missing sequences is 78. + all A-numbers is 91. + distinct A-numbers is 25. + +* Statistic about BinaryPell: +The number of ... + all hashes is 211. + distinct hashes is 74. + core triangles is 1. + distinct types is 5. + missing sequences is 26. + all A-numbers is 185. + distinct A-numbers is 59. + +* Statistic about Binomial: +The number of ... + all hashes is 175. + distinct hashes is 40. + core triangles is 1. + distinct types is 4. + missing sequences is 5. + all A-numbers is 170. + distinct A-numbers is 38. + +* Statistic about BinomialBell: +The number of ... + all hashes is 211. + distinct hashes is 113. + core triangles is 1. + distinct types is 5. + missing sequences is 119. + all A-numbers is 92. + distinct A-numbers is 38. + +* Statistic about BinomialCatalan: +The number of ... + all hashes is 169. + distinct hashes is 104. + core triangles is 1. + distinct types is 4. + missing sequences is 75. + all A-numbers is 94. + distinct A-numbers is 47. + +* Statistic about BinomialMinus: +The number of ... + all hashes is 170. + distinct hashes is 99. + core triangles is 1. + distinct types is 4. + missing sequences is 55. + all A-numbers is 115. + distinct A-numbers is 56. + +* Statistic about Catalan: +The number of ... + all hashes is 211. + distinct hashes is 118. + core triangles is 1. + distinct types is 5. + missing sequences is 75. + all A-numbers is 136. + distinct A-numbers is 67. + +* Statistic about CatalanAer: +The number of ... + all hashes is 211. + distinct hashes is 88. + core triangles is 1. + distinct types is 5. + missing sequences is 68. + all A-numbers is 143. + distinct A-numbers is 48. + +* Statistic about CatalanSqr: +The number of ... + all hashes is 214. + distinct hashes is 113. + core triangles is 1. + distinct types is 5. + missing sequences is 64. + all A-numbers is 150. + distinct A-numbers is 72. + +* Statistic about CentralCycle: +The number of ... + all hashes is 122. + distinct hashes is 66. + core triangles is 1. + distinct types is 3. + missing sequences is 66. + all A-numbers is 56. + distinct A-numbers is 26. + +* Statistic about CentralSet: +The number of ... + all hashes is 211. + distinct hashes is 117. + core triangles is 1. + distinct types is 5. + missing sequences is 119. + all A-numbers is 92. + distinct A-numbers is 33. + +* Statistic about ChebyshevS: +The number of ... + all hashes is 211. + distinct hashes is 88. + core triangles is 1. + distinct types is 5. + missing sequences is 71. + all A-numbers is 140. + distinct A-numbers is 48. + +* Statistic about ChebyshevT: +The number of ... + all hashes is 122. + distinct hashes is 48. + core triangles is 1. + distinct types is 3. + missing sequences is 47. + all A-numbers is 75. + distinct A-numbers is 26. + +* Statistic about ChebyshevU: +The number of ... + all hashes is 122. + distinct hashes is 49. + core triangles is 1. + distinct types is 3. + missing sequences is 52. + all A-numbers is 70. + distinct A-numbers is 25. + +* Statistic about Composition: +The number of ... + all hashes is 211. + distinct hashes is 115. + core triangles is 1. + distinct types is 5. + missing sequences is 125. + all A-numbers is 86. + distinct A-numbers is 36. + +* Statistic about CompositionMax: +The number of ... + all hashes is 122. + distinct hashes is 66. + core triangles is 1. + distinct types is 3. + missing sequences is 76. + all A-numbers is 46. + distinct A-numbers is 18. + +* Statistic about ChristTree: +The number of ... + all hashes is 172. + distinct hashes is 71. + core triangles is 1. + distinct types is 4. + missing sequences is 35. + all A-numbers is 137. + distinct A-numbers is 45. + +* Statistic about Delannoy: +The number of ... + all hashes is 172. + distinct hashes is 91. + core triangles is 1. + distinct types is 4. + missing sequences is 54. + all A-numbers is 118. + distinct A-numbers is 46. + +* Statistic about Divisibility: +The number of ... + all hashes is 211. + distinct hashes is 98. + core triangles is 1. + distinct types is 5. + missing sequences is 48. + all A-numbers is 163. + distinct A-numbers is 64. + +* Statistic about Euclid: +The number of ... + all hashes is 82. + distinct hashes is 38. + core triangles is 1. + distinct types is 2. + missing sequences is 20. + all A-numbers is 62. + distinct A-numbers is 25. + +* Statistic about Euler: +The number of ... + all hashes is 211. + distinct hashes is 75. + core triangles is 1. + distinct types is 5. + missing sequences is 77. + all A-numbers is 134. + distinct A-numbers is 36. + +* Statistic about Eulerian: +The number of ... + all hashes is 169. + distinct hashes is 100. + core triangles is 1. + distinct types is 4. + missing sequences is 60. + all A-numbers is 109. + distinct A-numbers is 48. + +* Statistic about Eulerian2: +The number of ... + all hashes is 122. + distinct hashes is 67. + core triangles is 1. + distinct types is 3. + missing sequences is 62. + all A-numbers is 60. + distinct A-numbers is 25. + +* Statistic about EulerianB: +The number of ... + all hashes is 172. + distinct hashes is 91. + core triangles is 1. + distinct types is 4. + missing sequences is 115. + all A-numbers is 57. + distinct A-numbers is 18. + +* Statistic about EulerSec: +The number of ... + all hashes is 211. + distinct hashes is 90. + core triangles is 1. + distinct types is 5. + missing sequences is 80. + all A-numbers is 131. + distinct A-numbers is 46. + +* Statistic about EulerTan: +The number of ... + all hashes is 122. + distinct hashes is 49. + core triangles is 1. + distinct types is 3. + missing sequences is 71. + all A-numbers is 51. + distinct A-numbers is 16. + +* Statistic about FallingFact: +The number of ... + all hashes is 169. + distinct hashes is 91. + core triangles is 1. + distinct types is 4. + missing sequences is 18. + all A-numbers is 151. + distinct A-numbers is 76. + +* Statistic about Fibonacci: +The number of ... + all hashes is 127. + distinct hashes is 67. + core triangles is 1. + distinct types is 3. + missing sequences is 64. + all A-numbers is 63. + distinct A-numbers is 26. + +* Statistic about Fubini: +The number of ... + all hashes is 122. + distinct hashes is 66. + core triangles is 1. + distinct types is 3. + missing sequences is 26. + all A-numbers is 96. + distinct A-numbers is 47. + +* Statistic about FussCatalan: +The number of ... + all hashes is 122. + distinct hashes is 65. + core triangles is 1. + distinct types is 3. + missing sequences is 56. + all A-numbers is 66. + distinct A-numbers is 29. + +* Statistic about Gaussq2: +The number of ... + all hashes is 172. + distinct hashes is 91. + core triangles is 1. + distinct types is 4. + missing sequences is 78. + all A-numbers is 94. + distinct A-numbers is 31. + +* Statistic about Genocchi: +The number of ... + all hashes is 122. + distinct hashes is 66. + core triangles is 1. + distinct types is 3. + missing sequences is 90. + all A-numbers is 32. + distinct A-numbers is 13. + +* Statistic about Harmonic: +The number of ... + all hashes is 211. + distinct hashes is 118. + core triangles is 1. + distinct types is 5. + missing sequences is 125. + all A-numbers is 86. + distinct A-numbers is 35. + +* Statistic about HermiteE: +The number of ... + all hashes is 211. + distinct hashes is 72. + core triangles is 1. + distinct types is 5. + missing sequences is 102. + all A-numbers is 109. + distinct A-numbers is 27. + +* Statistic about HermiteH: +The number of ... + all hashes is 122. + distinct hashes is 50. + core triangles is 1. + distinct types is 3. + missing sequences is 76. + all A-numbers is 46. + distinct A-numbers is 15. + +* Statistic about LabeledGraphs: +The number of ... + all hashes is 122. + distinct hashes is 66. + core triangles is 1. + distinct types is 3. + missing sequences is 83. + all A-numbers is 39. + distinct A-numbers is 16. + +* Statistic about Laguerre: +The number of ... + all hashes is 211. + distinct hashes is 76. + core triangles is 1. + distinct types is 5. + missing sequences is 73. + all A-numbers is 138. + distinct A-numbers is 41. + +* Statistic about Lah: +The number of ... + all hashes is 211. + distinct hashes is 77. + core triangles is 1. + distinct types is 5. + missing sequences is 43. + all A-numbers is 168. + distinct A-numbers is 56. + +* Statistic about Lehmer: +The number of ... + all hashes is 211. + distinct hashes is 118. + core triangles is 1. + distinct types is 5. + missing sequences is 133. + all A-numbers is 78. + distinct A-numbers is 31. + +* Statistic about Leibniz: +The number of ... + all hashes is 82. + distinct hashes is 39. + core triangles is 1. + distinct types is 2. + missing sequences is 9. + all A-numbers is 73. + distinct A-numbers is 32. + +* Statistic about Levin: +The number of ... + all hashes is 82. + distinct hashes is 39. + core triangles is 1. + distinct types is 2. + missing sequences is 31. + all A-numbers is 51. + distinct A-numbers is 22. + +* Statistic about Lozanic: +The number of ... + all hashes is 172. + distinct hashes is 89. + core triangles is 1. + distinct types is 4. + missing sequences is 99. + all A-numbers is 73. + distinct A-numbers is 29. + +* Statistic about MoebiusMat: +The number of ... + all hashes is 211. + distinct hashes is 98. + core triangles is 1. + distinct types is 5. + missing sequences is 49. + all A-numbers is 162. + distinct A-numbers is 64. + +* Statistic about Motzkin: +The number of ... + all hashes is 169. + distinct hashes is 78. + core triangles is 1. + distinct types is 4. + missing sequences is 90. + all A-numbers is 79. + distinct A-numbers is 25. + +* Statistic about MotzkinGF: +The number of ... + all hashes is 211. + distinct hashes is 114. + core triangles is 1. + distinct types is 5. + missing sequences is 59. + all A-numbers is 152. + distinct A-numbers is 70. + +* Statistic about Narayana: +The number of ... + all hashes is 211. + distinct hashes is 116. + core triangles is 1. + distinct types is 5. + missing sequences is 76. + all A-numbers is 135. + distinct A-numbers is 58. + +* Statistic about Naturals: +The number of ... + all hashes is 122. + distinct hashes is 68. + core triangles is 1. + distinct types is 3. + missing sequences is 53. + all A-numbers is 69. + distinct A-numbers is 29. + +* Statistic about Nicomachus: +The number of ... + all hashes is 122. + distinct hashes is 66. + core triangles is 1. + distinct types is 3. + missing sequences is 41. + all A-numbers is 81. + distinct A-numbers is 34. + +* Statistic about One: +The number of ... + all hashes is 172. + distinct hashes is 52. + core triangles is 1. + distinct types is 4. + missing sequences is 5. + all A-numbers is 167. + distinct A-numbers is 47. + +* Statistic about Ordinals: +The number of ... + all hashes is 122. + distinct hashes is 57. + core triangles is 1. + distinct types is 3. + missing sequences is 8. + all A-numbers is 114. + distinct A-numbers is 49. + +* Statistic about OrderedCycle: +The number of ... + all hashes is 122. + distinct hashes is 67. + core triangles is 1. + distinct types is 3. + missing sequences is 48. + all A-numbers is 74. + distinct A-numbers is 37. + +* Statistic about Partition: +The number of ... + all hashes is 211. + distinct hashes is 111. + core triangles is 1. + distinct types is 5. + missing sequences is 57. + all A-numbers is 154. + distinct A-numbers is 70. + +* Statistic about PartitionDist: +The number of ... + all hashes is 122. + distinct hashes is 65. + core triangles is 1. + distinct types is 3. + missing sequences is 58. + all A-numbers is 64. + distinct A-numbers is 30. + +* Statistic about PartitionMax: +The number of ... + all hashes is 122. + distinct hashes is 65. + core triangles is 1. + distinct types is 3. + missing sequences is 68. + all A-numbers is 54. + distinct A-numbers is 22. + +* Statistic about Polygonal: +The number of ... + all hashes is 122. + distinct hashes is 65. + core triangles is 1. + distinct types is 3. + missing sequences is 61. + all A-numbers is 61. + distinct A-numbers is 26. + +* Statistic about PowLaguerre: +The number of ... + all hashes is 82. + distinct hashes is 39. + core triangles is 1. + distinct types is 2. + missing sequences is 14. + all A-numbers is 68. + distinct A-numbers is 30. + +* Statistic about Rencontres: +The number of ... + all hashes is 211. + distinct hashes is 110. + core triangles is 1. + distinct types is 5. + missing sequences is 83. + all A-numbers is 128. + distinct A-numbers is 52. + +* Statistic about RisingFact: +The number of ... + all hashes is 169. + distinct hashes is 100. + core triangles is 1. + distinct types is 4. + missing sequences is 106. + all A-numbers is 63. + distinct A-numbers is 24. + +* Statistic about Schroeder: +The number of ... + all hashes is 211. + distinct hashes is 116. + core triangles is 1. + distinct types is 5. + missing sequences is 69. + all A-numbers is 142. + distinct A-numbers is 61. + +* Statistic about SchroederL: +The number of ... + all hashes is 214. + distinct hashes is 117. + core triangles is 1. + distinct types is 5. + missing sequences is 127. + all A-numbers is 87. + distinct A-numbers is 33. + +* Statistic about SchroederP: +The number of ... + all hashes is 211. + distinct hashes is 119. + core triangles is 1. + distinct types is 5. + missing sequences is 122. + all A-numbers is 89. + distinct A-numbers is 41. + +* Statistic about Seidel: +The number of ... + all hashes is 122. + distinct hashes is 65. + core triangles is 1. + distinct types is 3. + missing sequences is 55. + all A-numbers is 67. + distinct A-numbers is 26. + +* Statistic about SeidelBoust: +The number of ... + all hashes is 122. + distinct hashes is 67. + core triangles is 1. + distinct types is 3. + missing sequences is 78. + all A-numbers is 44. + distinct A-numbers is 20. + +* Statistic about Sierpinski: +The number of ... + all hashes is 175. + distinct hashes is 58. + core triangles is 1. + distinct types is 4. + missing sequences is 45. + all A-numbers is 130. + distinct A-numbers is 34. + +* Statistic about StirlingCyc: +The number of ... + all hashes is 211. + distinct hashes is 115. + core triangles is 1. + distinct types is 5. + missing sequences is 30. + all A-numbers is 181. + distinct A-numbers is 89. + +* Statistic about StirlingCyc2: +The number of ... + all hashes is 122. + distinct hashes is 60. + core triangles is 1. + distinct types is 3. + missing sequences is 56. + all A-numbers is 66. + distinct A-numbers is 29. + +* Statistic about StirlingCycB: +The number of ... + all hashes is 214. + distinct hashes is 117. + core triangles is 1. + distinct types is 5. + missing sequences is 99. + all A-numbers is 115. + distinct A-numbers is 45. + +* Statistic about StirlingSet: +The number of ... + all hashes is 211. + distinct hashes is 115. + core triangles is 1. + distinct types is 5. + missing sequences is 28. + all A-numbers is 183. + distinct A-numbers is 92. + +* Statistic about StirlingSet2: +The number of ... + all hashes is 122. + distinct hashes is 59. + core triangles is 1. + distinct types is 3. + missing sequences is 56. + all A-numbers is 66. + distinct A-numbers is 27. + +* Statistic about StirlingSetB: +The number of ... + all hashes is 214. + distinct hashes is 117. + core triangles is 1. + distinct types is 5. + missing sequences is 155. + all A-numbers is 59. + distinct A-numbers is 25. + +* Statistic about Sylvester: +The number of ... + all hashes is 122. + distinct hashes is 68. + core triangles is 1. + distinct types is 3. + missing sequences is 81. + all A-numbers is 41. + distinct A-numbers is 21. + +* Statistic about SymPoly: +The number of ... + all hashes is 211. + distinct hashes is 120. + core triangles is 1. + distinct types is 5. + missing sequences is 122. + all A-numbers is 89. + distinct A-numbers is 36. + +* Statistic about TernaryTrees: +The number of ... + all hashes is 122. + distinct hashes is 66. + core triangles is 1. + distinct types is 3. + missing sequences is 72. + all A-numbers is 50. + distinct A-numbers is 18. + +* Statistic about WardSet: +The number of ... + all hashes is 122. + distinct hashes is 67. + core triangles is 1. + distinct types is 3. + missing sequences is 66. + all A-numbers is 56. + distinct A-numbers is 26. + +* Statistic about Worpitzky: +The number of ... + all hashes is 170. + distinct hashes is 98. + core triangles is 1. + distinct types is 4. + missing sequences is 66. + all A-numbers is 104. + distinct A-numbers is 44. + +* Statistic about Zarankiewicz: +The number of ... + all hashes is 122. + distinct hashes is 67. + core triangles is 1. + distinct types is 3. + missing sequences is 92. + all A-numbers is 30. + distinct A-numbers is 9. + +* Statistic about traits: +The number of ... + all hashes is 13165. + distinct hashes is 5296. + core triangles is 80. + distinct types is 6. + missing sequences is 5458. + all A-numbers is 7707. + distinct A-numbers is 1888. + +Ranking of triangles with regard to their impact: + +[92] ('A048993', 'StirlingSet', 211, 115, 1, 5, 28, 183, 92) +[89] ('A132393', 'StirlingCyc', 211, 115, 1, 5, 30, 181, 89) +[76] ('A008279', 'FallingFact', 169, 91, 1, 4, 18, 151, 76) +[72] ('A039599', 'CatalanSqr', 214, 113, 1, 5, 64, 150, 72) +[70] ('A064189', 'MotzkinGF', 211, 114, 1, 5, 59, 152, 70) +[70] ('A072233', 'Partition', 211, 111, 1, 5, 57, 154, 70) +[67] ('A128899', 'Catalan', 211, 118, 1, 5, 75, 136, 67) +[64] ('A113704', 'Divisibility', 211, 98, 1, 5, 48, 163, 64) +[64] ('A363914', 'MoebiusMat', 211, 98, 1, 5, 49, 162, 64) +[61] ('A122538', 'Schroeder', 211, 116, 1, 5, 69, 142, 61) +[60] ('A137452', 'Abel', 211, 118, 1, 5, 86, 125, 60) + +[59] ('A038207', 'BinaryPell', 211, 74, 1, 5, 26, 185, 59) +[58] ('A090181', 'Narayana', 211, 116, 1, 5, 76, 135, 58) +[56] ('A059481', 'BinomialMinus', 170, 99, 1, 4, 55, 115, 56) +[56] ('A271703', 'Lah', 211, 77, 1, 5, 43, 168, 56) +[55] ('A132062', 'Bessel', 211, 116, 1, 5, 89, 122, 55) +[52] ('A008290', 'Rencontres', 211, 110, 1, 5, 83, 128, 52) +[49] ('A002262', 'Ordinals', 122, 57, 1, 3, 8, 114, 49) +[48] ('A053121', 'CatalanAer', 211, 88, 1, 5, 68, 143, 48) +[48] ('A049310', 'ChebyshevS', 211, 88, 1, 5, 71, 140, 48) +[48] ('A173018', 'Eulerian', 169, 100, 1, 4, 60, 109, 48) +[47] ('A124644', 'BinomialCatalan', 169, 104, 1, 4, 75, 94, 47) +[47] ('A131689', 'Fubini', 122, 66, 1, 3, 26, 96, 47) +[47] ('A000012', 'One', 172, 52, 1, 4, 5, 167, 47) +[46] ('A008288', 'Delannoy', 172, 91, 1, 4, 54, 118, 46) +[46] ('A119879', 'EulerSec', 211, 90, 1, 5, 80, 131, 46) +[45] ('A106465', 'ChristTree', 172, 71, 1, 4, 35, 137, 45) +[45] ('A028338', 'StirlingCycB', 214, 117, 1, 5, 99, 115, 45) + +[44] ('A028246', 'Worpitzky', 170, 98, 1, 4, 66, 104, 44) +[41] ('A021009', 'Laguerre', 211, 76, 1, 5, 73, 138, 41) +[41] ('A104684', 'SchroederP', 211, 119, 1, 5, 122, 89, 41) +[38] ('A007318', 'Binomial', 175, 40, 1, 4, 5, 170, 38) +[38] ('A056857', 'BinomialBell', 211, 113, 1, 5, 119, 92, 38) +[37] ('A225479', 'OrderedCycle', 122, 67, 1, 3, 48, 74, 37) +[36] ('A048004', 'Composition', 211, 115, 1, 5, 125, 86, 36) +[36] ('A247453', 'Euler', 211, 75, 1, 5, 77, 134, 36) +[36] ('A165675', 'SymPoly', 211, 120, 1, 5, 122, 89, 36) +[35] ('A358694', 'Harmonic', 211, 118, 1, 5, 125, 86, 35) +[34] ('A036561', 'Nicomachus', 122, 66, 1, 3, 41, 81, 34) +[34] ('A047999', 'Sierpinski', 175, 58, 1, 4, 45, 130, 34) +[33] ('A269945', 'CentralSet', 211, 117, 1, 5, 119, 92, 33) +[33] ('A172094', 'SchroederL', 214, 117, 1, 5, 127, 87, 33) +[32] ('A003506', 'Leibniz', 82, 39, 1, 2, 9, 73, 32) +[31] ('A022166', 'Gaussq2', 172, 91, 1, 4, 78, 94, 31) +[31] ('A354794', 'Lehmer', 211, 118, 1, 5, 133, 78, 31) +[30] ('A365676', 'PartitionDist', 122, 65, 1, 3, 58, 64, 30) +[30] ('A196347', 'PowLaguerre', 82, 39, 1, 2, 14, 68, 30) +[29] ('A355173', 'FussCatalan', 122, 65, 1, 3, 56, 66, 29) +[29] ('A034851', 'Lozanic', 172, 89, 1, 4, 99, 73, 29) +[29] ('A000027', 'Naturals', 122, 68, 1, 3, 53, 69, 29) +[29] ('A358622', 'StirlingCyc2', 122, 60, 1, 3, 56, 66, 29) +[27] ('A099174', 'HermiteE', 211, 72, 1, 5, 102, 109, 27) +[27] ('A358623', 'StirlingSet2', 122, 59, 1, 3, 56, 66, 27) +[26] ('A269940', 'CentralCycle', 122, 66, 1, 3, 66, 56, 26) +[26] ('A053120', 'ChebyshevT', 122, 48, 1, 3, 47, 75, 26) +[26] ('A354267', 'Fibonacci', 127, 67, 1, 3, 64, 63, 26) +[26] ('A139600', 'Polygonal', 122, 65, 1, 3, 61, 61, 26) +[26] ('A008281', 'Seidel', 122, 65, 1, 3, 55, 67, 26) +[26] ('A269939', 'WardSet', 122, 67, 1, 3, 66, 56, 26) +[25] ('A011971', 'Bell', 122, 67, 1, 3, 57, 65, 25) +[25] ('A359760', 'Bessel2', 169, 65, 1, 4, 78, 91, 25) +[25] ('A053117', 'ChebyshevU', 122, 49, 1, 3, 52, 70, 25) +[25] ('A217831', 'Euclid', 82, 38, 1, 2, 20, 62, 25) +[25] ('A340556', 'Eulerian2', 122, 67, 1, 3, 62, 60, 25) +[25] ('A359364', 'Motzkin', 169, 78, 1, 4, 90, 79, 25) +[25] ('A154602', 'StirlingSetB', 214, 117, 1, 5, 155, 59, 25) +[24] ('A124320', 'RisingFact', 169, 100, 1, 4, 106, 63, 24) +[22] ('A356546', 'Levin', 82, 39, 1, 2, 31, 51, 22) +[22] ('A026820', 'PartitionMax', 122, 65, 1, 3, 68, 54, 22) +[21] ('A341101', 'Sylvester', 122, 68, 1, 3, 81, 41, 21) +[20] ('A008280', 'SeidelBoust', 122, 67, 1, 3, 78, 44, 20) +[18] ('A359363', 'Baxter', 127, 69, 1, 3, 82, 45, 18) +[18] ('A126198', 'CompositionMax', 122, 66, 1, 3, 76, 46, 18) +[18] ('A060187', 'EulerianB', 172, 91, 1, 4, 115, 57, 18) +[18] ('A355172', 'TernaryTrees', 122, 66, 1, 3, 72, 50, 18) +[16] ('A162660', 'EulerTan', 122, 49, 1, 3, 71, 51, 16) +[16] ('A360603', 'LabeledGraphs', 122, 66, 1, 3, 83, 39, 16) +[15] ('A060821', 'HermiteH', 122, 50, 1, 3, 76, 46, 15) +[13] ('A297703', 'Genocchi', 122, 66, 1, 3, 90, 32, 13) +[9] ('A298368', 'Zarankiewicz', 122, 67, 1, 3, 92, 30, 9) + +The statistics were created on 2023-11-24 19:26:37.963379 . diff --git a/src/_tabldata.py b/src/_tabldata.py index d9440eb..0d7d073 100644 --- a/src/_tabldata.py +++ b/src/_tabldata.py @@ -9,7 +9,7 @@ from requests import get import pandas as pd from _tablpaths import GetDataPath, strippedpath -from _tabltypes import tgen, InvTable, RevTable, SeqString +from _tabltypes import tgen, InvTable, RevTable, AltTable, SeqString from _tabltraits import RegisterTraits, is_tabletrait @@ -319,8 +319,8 @@ def QueryOeis(H: str, seq: list[int], db_cur: sqlite3.Cursor) -> str: def GetType(name: str) -> str: """ - There are 6 types: - ["", "Std", "Rev", "Inv", "Rev:Inv", "Inv:Rev"] + There are 7 types: + ["", "Std", "Rev", "Inv", "Rev:Inv", "Inv:Rev", "Alt"] """ sp = name.split(":", 1) if len(sp) == 1: @@ -336,6 +336,19 @@ def InsertTable(name: str) -> str: return f"INSERT INTO {name} VALUES(?, ?, ?, ?, ?, ?)" +def FilterTraits(anum: str) -> bool: + """ + Filter traits to remove traits that are not interresting. + + Args: + anumber (str): The traits as A-number. + + Returns: + True if the trait should be discarded. + """ + return anum in ["A000012", "A000007", "A000004"] + + def GetMaxStrLen() -> int: return 100 @@ -379,6 +392,9 @@ def SaveTraits(fun: tgen, size: int, traits_cur: sqlite3.Cursor, oeis_cur: sqlit # anum = queryminioeis(hash, seq, oeis_cur) # local anum = QueryOeis(fnvhash, seq, oeis_cur) # with internet + if FilterTraits(anum): # discard traits that are not interresting + continue + seqstr = "" maxl = 0 for trm in seq: @@ -420,6 +436,9 @@ def SaveExtendedTraitsToDB(fun: tgen, size: int, traits_cur: sqlite3.Cursor, oei SaveTraits(fun, size, traits_cur, oeis_cur, table, TRAITS) fun.id = Tid + a = AltTable(fun, tim) + SaveTraits(a, size, traits_cur, oeis_cur, table, TRAITS) + r = RevTable(fun, tim) rhash = FNVhash(r.tab(MINTERMS)) if thash != rhash: @@ -687,11 +706,11 @@ def test33(): # GetCompressed() # SaveAllTraitsToDBandCSVandMD(tabl_fun[2:3]) # SaveTraitsToDB(tabl_fun[3]) - # test7() + test7() # for fun in tabl_fun: # ConvertDBtoCSVandMD(GetDataPath(fun.id, "db"), fun.id) - test22("d7e6f639f03bf659") + # test22("d7e6f639f03bf659") # ConvertLocalDBtoCSVandMD() # test33() diff --git a/src/_tablexport.py b/src/_tablexport.py index aa3a3ae..7fb49ba 100644 --- a/src/_tablexport.py +++ b/src/_tablexport.py @@ -3,12 +3,7 @@ import contextlib from _tablpaths import GetRoot, GetDataPath from _tablviews import PrintViews -from _tabltypes import ( - InvTable, - RevTable, - RevInvTable, - InvRevTable, -) +from _tabltypes import (InvTable, RevTable, RevInvTable, InvRevTable) ''' Memo for the developer: @@ -33,9 +28,12 @@ def CrossReferences(name: str = "README.md") -> None: - """Writes the crossreferences as a md-table to the root. """ + Writes the crossreferences as a md-table to the root. + Args: + name (str, optional): The name of the file to write the crossreferences to. Defaults to "README.md". + """ path = GetRoot(name) with open(path, "w+", encoding='utf-8') as xrefs: @@ -57,7 +55,12 @@ def CrossReferences(name: str = "README.md") -> None: def SaveExtendedTables(dim: int = 10) -> None: + """ + Saves the extended tables to the data/md folder. + Args: + dim (int, optional): The dimension of the tables. Defaults to 10. + """ tim: int = dim + dim for fun in tabl_fun: diff --git a/src/_tablhtml.py b/src/_tablhtml.py index 064e81e..5511959 100644 --- a/src/_tablhtml.py +++ b/src/_tablhtml.py @@ -140,6 +140,15 @@ def navbar(fun: tgen) -> list[str]: def CsvToHtml(fun: tgen) -> None: + """ + Converts a CSV file to an HTML file. + + Args: + fun (tgen): The generator object of the triangle. + + Returns: + None + """ name = fun.id csvfile = GetDataPath(name, "csv") diff --git a/src/_tablinverse.py b/src/_tablinverse.py index fba29b1..ec6663f 100644 --- a/src/_tablinverse.py +++ b/src/_tablinverse.py @@ -1,9 +1,37 @@ +import numpy as np + +def NumpyInvertTabl(L: list[list[int]]) -> list[list[int]]: + """ NOT YET TESTED! """ + n = len(L) + inv = np.zeros((n, n)) + + for k in range(n): + if L[k][k] == 0: + return [] # Inverse does not exist + + inv[k][k] = 1 / L[k][k] + + for j in range(k + 1, n): + inv[k][j] = -np.dot(inv[k][:k], L[k][:k+1:-1]) / L[k][k] + + return inv.tolist() + # #@ def InvertTabl(L: list[list[int]]) -> list[list[int]]: - # Inverse of a lower triangular matrix + """ + Calculates the inverse of a lower triangular matrix. + + Args: + L (list[list[int]]): The lower triangular matrix. + + Returns: + list[list[int]]: The integer inverse of the lower triangular matrix if it exists. + []: If the inverse does not exist. + + """ n = len(L) inv = [[0 for i in range(n)] for _ in range(n)] # Identity matrix for i in range(n): @@ -16,10 +44,12 @@ def InvertTabl(L: list[list[int]]) -> list[list[int]]: b = L[k][k] if b == 0: # print("Warning: Inverse does not exist!") + # raise ValueError("Inverse does not exist!") return [] a, r = divmod(a, b) # make sure that a is integer if r != 0: # print("Warning: Integer terms do not exist!") + # raise ValueError("Integer terms do not exist!") return [] return [row[0:n + 1] for n, row in enumerate(inv)] diff --git a/src/_tabljson.py b/src/_tabljson.py index 5161ef4..a6d7bce 100644 --- a/src/_tabljson.py +++ b/src/_tabljson.py @@ -141,8 +141,17 @@ # #@ - def search(query: str) -> str: + """ + Search for a sequence in the OEIS (Online Encyclopedia of Integer Sequences). + + Args: + query (str): The sequence query. + + Returns: + str: The sequence number in the OEIS format (e.g., A000001). + + """ jdata = get(f"https://oeis.org/search?q={query}&fmt=json", timeout=10).json() count = jdata["count"] print(count) diff --git a/src/_tablmake.py b/src/_tablmake.py index 39869f4..8ac20b1 100644 --- a/src/_tablmake.py +++ b/src/_tablmake.py @@ -19,6 +19,7 @@ "Binomial.py", "BinomialBell.py", "BinomialCatalan.py", + "BinomialMinus.py", "Catalan.py", "CatalanAer.py", "CatalanSqr.py", @@ -118,6 +119,7 @@ Binomial, BinomialBell, BinomialCatalan, + BinomialMinus, Catalan, CatalanAer, CatalanSqr, @@ -192,6 +194,7 @@ import_header: list[str] = [ # "from os import remove\n", + "import datetime\n", "from functools import cache, reduce\n", "from itertools import accumulate\n", "from math import lcm, gcd, factorial\n", @@ -215,6 +218,17 @@ def make() -> None: + """ + This function generates a 'tabl.py' file by combining the contents of multiple source files. + It reads the source files from the 'src' directory and writes the combined content to 'tabl.py'. + The function also sets the recursion limit and the maximum number of digits for integer conversion. + + Parameters: + None + + Returns: + None + """ dir = join(getcwd(), "src") dest = open("tabl.py", "w+", encoding="utf-8") diff --git a/src/_tablstatistic.py b/src/_tablstatistic.py index 4dc0a99..f89b640 100644 --- a/src/_tablstatistic.py +++ b/src/_tablstatistic.py @@ -1,3 +1,4 @@ +import datetime import sqlite3 from _tablpaths import GetDataPath from tabl import tabl_fun @@ -108,6 +109,7 @@ def TuttiStats(name: str = "traitsstats") -> None: cur.close() + print("The statistics were created on", datetime.datetime.now(), ".\n") print(f"Created database {name}.db in data/db.") diff --git a/src/_tabltabls.py b/src/_tabltabls.py index e994130..f2f8489 100644 --- a/src/_tabltabls.py +++ b/src/_tabltabls.py @@ -38,6 +38,12 @@ def AccRevTabl(T: tabl) -> tabl: return AccTabl(RevTabl(T)) +def AltSignTabl(T: tabl) -> tabl: + return [[(-1)**k * T[n][k] + for k in range(n + 1)] + for n in range(len(T))] + + def Diffx1(T: tabl) -> trow: # flat tabl return [(k + 1) * c for row in T for k, c in enumerate(row)] @@ -98,6 +104,10 @@ def AccRev(T: tabl) -> trow: return [i for row in AccRevTabl(T) for i in row] +def AltSign(T: tabl) -> trow: + return [i for row in AltSignTabl(T) for i in row] + + def PrintTabls(g: tgen, size: int = 8, mdformat: bool = True) -> None: TABLSTRAIT: dict[str, Callable[[tabl], trow]] = {} @@ -139,12 +149,20 @@ def RegisterTablsTrait(f: Callable[[tabl], trow]) -> None: from StirlingSet import StirlingSet from LabeledGraphs import LabeledGraphs + T = Abel.tab(8) + A = AltSignTabl(T) + print(T) + print(A) + + # print(RevTabl(Abel.tab(6))) + # print(Rev(Abel.tab(6))) + # print(RevTabl(Abel.tab(6))) # print(Rev(Abel.tab(6))) - PrintTabls(Abel, 6) - PrintTabls(StirlingSet, 6, False) - PrintTabls(LabeledGraphs, 6) + # PrintTabls(Abel, 6) + # PrintTabls(StirlingSet, 6, False) + # PrintTabls(LabeledGraphs, 6) # T = LabeledGraphs.tab(9) # print(T) diff --git a/src/_tabltraits.py b/src/_tabltraits.py index 312238b..5eec527 100644 --- a/src/_tabltraits.py +++ b/src/_tabltraits.py @@ -29,23 +29,19 @@ ) -""" -Traits come in two flavors: +# #@ - The 'table' type: - TYPE: Callable[[tabl], trow]]: - The 'generic' type: - TYPE: Callable[[rgen, int], trow]] +def is_tabletrait(f: Callable): + """ + Traits come in two flavors: + + (a) The 'table' type: Callable[[tabl], trow]]: + (b) The 'generic' type: Callable[[rgen, int], trow]] To diffenrentiate use the function 'is_tabletrait(f)' that returns 'True' if 'f' is of table-type. """ - -# #@ - - -def is_tabletrait(f: Callable): sig = signature(f) ann = list(sig.parameters.values())[0].annotation return ann == list[list[int]] diff --git a/src/_tabltypes.py b/src/_tabltypes.py index a382ead..8ad971f 100644 --- a/src/_tabltypes.py +++ b/src/_tabltypes.py @@ -22,7 +22,7 @@ """Type: table row""" trow: TypeAlias = list[int] -"""Type: table""" +"""Type: triangle (resp. table)""" tabl: TypeAlias = list[list[int]] """Type: sequence generator""" @@ -31,19 +31,10 @@ """Type: row generator""" rgen: TypeAlias = Callable[[int], trow] -"""Type: table generator""" +"""Type: triangle (resp. table) generator""" # tgen: TypeAlias = Callable[[int, int], list[int] | int] | Callable[[int], list[int] | int] tgen: TypeAlias = Callable[[int, int], int] -"""Type: triangle""" -tri: TypeAlias = Callable[[int, int], int] - -# Two types of traits: -# print(signature(EvenSum)) -# (t: list[list[int]]) -> list[int] -# print(signature(DiagRow0)) -# (g: Callable[[int], list[int]], size: int) -> list[int] - def Flat(T: tabl) -> list[int]: """Flatten table to sequence @@ -60,6 +51,18 @@ def Flat(T: tabl) -> list[int]: def SeqString(seq: list[int], maxlen: int, offset: int = 0) -> str: + """ + Converts a sequence of integers into a string representation. + + Args: + seq (list[int]): The sequence of integers to be converted. + maxlen (int): The maximum length of the resulting string. + offset (int, optional): The starting index of the sequence. Defaults to 0. + + Returns: + str: The string representation of the sequence. + + """ seqstr = "" maxl = 0 for trm in seq[offset:]: @@ -72,14 +75,16 @@ def SeqString(seq: list[int], maxlen: int, offset: int = 0) -> str: def InvTable(T: tgen, size: int) -> tgen | None: - """_summary_ + """ + Returns a generator for the inverse triangle if the triangle is ivertible. Args: - T (tgen): _description_ - size (int): _description_ + T (tgen): The generator of the triangle. + size (int): Size of the inverse triangle to be generated. Returns: - tgen | None: _description_ + tgen : The generator of the inverse triangle. + None : If the inverse triangle does not exist. """ t = T.inv(size) @@ -98,14 +103,15 @@ def Psgen(n: int, k: int) -> int: def RevTable(T: tgen, size: int) -> tgen: - """_summary_ + """ + Returns a generator for the reversed triangle. Args: - T (tgen): _description_ - size (int): _description_ + T (tgen): The generator of the triangle. + size (int): Size of the reversed triangle to be generated. Returns: - tgen: _description_ + tgen: The generator of the reversed triangle. """ t = T.tab(size) @@ -122,6 +128,34 @@ def Rsgen(n: int, k: int) -> int: return Rsgen +def AltTable(T: tgen, size: int = 0) -> tgen: + """ + Returns a generator for the triangle with alternating signs. + + Args: + T (tgen): The generator of the triangle. + size (int): Size of the sign-changed triangle to be generated. + + Returns: + tgen: The generator of the sign-changed triangle. + """ + + #t = T.tab(size) + r = T.gen + + @cache + def asgen(n: int) -> trow: + #row = t[n] + return [(-1) ** k * term for k, term in enumerate(r(n))] + + @MakeTriangle(asgen, T.id + ":Alt", [], True) + def Asgen(n: int, k: int) -> int: + return asgen(n)[k] + + return Asgen + + + def RevInvTable(T: tgen, size: int) -> tgen | None: """First inverse, then reverse. read: Rev(Inv(T)) @@ -178,10 +212,35 @@ def Tigen(n: int, k: int) -> int: def SubTriangle(g: rgen, N: int, K: int, size: int) -> tabl: + """ + Generates a sub-triangle of a given size from a given row generator function. + + Args: + g (rgen): The row generator function used to generate the elements of the triangle. + N (int): The starting row index of the sub-triangle. + K (int): The starting column index of the sub-triangle. + size (int): The size of the sub-triangle. + + Returns: + tabl: The generated sub-triangle. + + """ return [[g(n)[k] for k in range(K, K - N + n + 1)] for n in range(N, N + size)] def AbsSubTriangle(g: rgen, N: int, K: int, size: int) -> tabl: + """ + Generates a sub-triangle with absolute values of a given size from a given row generator function. + + Args: + g (rgen): The row generator function used to generate the elements of the triangle. + N (int): The starting row index of the sub-triangle. + K (int): The starting column index of the sub-triangle. + size (int): The size of the sub-triangle. + + Returns: + tabl: The generated sub-triangle with absolute values. + """ return [[abs(g(n)[k]) for k in range(K, K - N + n + 1)] for n in range(N, N + size)] @@ -264,7 +323,8 @@ def Triangle(f: Callable[[int, int], int]) -> Callable[[int, int], int]: print(Abel.tab(7)) print() - def abel11(n): return Abel.sub(1, 1)(n) + def abel11(n): + return Abel.sub(1, 1)(n) @MakeTriangle(abel11, "Abel11", ["A359", "A05"], False) def Abel11(n: int, k: int) -> int: diff --git a/src/tabl.py b/src/tabl.py index f464304..976db36 100644 --- a/src/tabl.py +++ b/src/tabl.py @@ -1,3 +1,4 @@ +import datetime from functools import cache, reduce from itertools import accumulate from math import lcm, gcd, factorial @@ -51,7 +52,14 @@ def EnsureDataDirectories() -> None: def InvertTabl(L: list[list[int]]) -> list[list[int]]: - # Inverse of a lower triangular matrix + """ + Calculates the inverse of a lower triangular matrix. + Args: + L (list[list[int]]): The lower triangular matrix. + Returns: + list[list[int]]: The integer inverse of the lower triangular matrix if it exists. + []: If the inverse does not exist. + """ n = len(L) inv = [[0 for i in range(n)] for _ in range(n)] # Identity matrix for i in range(n): @@ -64,10 +72,12 @@ def InvertTabl(L: list[list[int]]) -> list[list[int]]: b = L[k][k] if b == 0: # print("Warning: Inverse does not exist!") + # raise ValueError("Inverse does not exist!") return [] a, r = divmod(a, b) # make sure that a is integer if r != 0: # print("Warning: Integer terms do not exist!") + # raise ValueError("Integer terms do not exist!") return [] return [row[0 : n + 1] for n, row in enumerate(inv)] @@ -79,16 +89,14 @@ def InvertTriangle(r, dim: int) -> list[list[int]]: """Type: table row""" trow: TypeAlias = list[int] -"""Type: table""" +"""Type: triangle (resp. table)""" tabl: TypeAlias = list[list[int]] """Type: sequence generator""" seq: TypeAlias = Callable[[int], int] """Type: row generator""" rgen: TypeAlias = Callable[[int], trow] -"""Type: table generator""" +"""Type: triangle (resp. table) generator""" tgen: TypeAlias = Callable[[int, int], int] -"""Type: triangle""" -tri: TypeAlias = Callable[[int, int], int] def Flat(T: tabl) -> list[int]: @@ -104,6 +112,15 @@ def Flat(T: tabl) -> list[int]: def SeqString(seq: list[int], maxlen: int, offset: int = 0) -> str: + """ + Converts a sequence of integers into a string representation. + Args: + seq (list[int]): The sequence of integers to be converted. + maxlen (int): The maximum length of the resulting string. + offset (int, optional): The starting index of the sequence. Defaults to 0. + Returns: + str: The string representation of the sequence. + """ seqstr = "" maxl = 0 for trm in seq[offset:]: @@ -116,12 +133,14 @@ def SeqString(seq: list[int], maxlen: int, offset: int = 0) -> str: def InvTable(T: tgen, size: int) -> tgen | None: - """_summary_ + """ + Returns a generator for the inverse triangle if the triangle is ivertible. Args: - T (tgen): _description_ - size (int): _description_ + T (tgen): The generator of the triangle. + size (int): Size of the inverse triangle to be generated. Returns: - tgen | None: _description_ + tgen : The generator of the inverse triangle. + None : If the inverse triangle does not exist. """ t = T.inv(size) if t == []: @@ -139,12 +158,13 @@ def Psgen(n: int, k: int) -> int: def RevTable(T: tgen, size: int) -> tgen: - """_summary_ + """ + Returns a generator for the reversed triangle. Args: - T (tgen): _description_ - size (int): _description_ + T (tgen): The generator of the triangle. + size (int): Size of the reversed triangle to be generated. Returns: - tgen: _description_ + tgen: The generator of the reversed triangle. """ t = T.tab(size) @@ -160,6 +180,30 @@ def Rsgen(n: int, k: int) -> int: return Rsgen +def AltTable(T: tgen, size: int = 0) -> tgen: + """ + Returns a generator for the triangle with alternating signs. + Args: + T (tgen): The generator of the triangle. + size (int): Size of the sign-changed triangle to be generated. + Returns: + tgen: The generator of the sign-changed triangle. + """ + # t = T.tab(size) + r = T.gen + + @cache + def asgen(n: int) -> trow: + # row = t[n] + return [(-1) ** k * term for k, term in enumerate(r(n))] + + @MakeTriangle(asgen, T.id + ":Alt", [], True) + def Asgen(n: int, k: int) -> int: + return asgen(n)[k] + + return Asgen + + def RevInvTable(T: tgen, size: int) -> tgen | None: """First inverse, then reverse. read: Rev(Inv(T)) @@ -211,10 +255,30 @@ def Tigen(n: int, k: int) -> int: def SubTriangle(g: rgen, N: int, K: int, size: int) -> tabl: + """ + Generates a sub-triangle of a given size from a given row generator function. + Args: + g (rgen): The row generator function used to generate the elements of the triangle. + N (int): The starting row index of the sub-triangle. + K (int): The starting column index of the sub-triangle. + size (int): The size of the sub-triangle. + Returns: + tabl: The generated sub-triangle. + """ return [[g(n)[k] for k in range(K, K - N + n + 1)] for n in range(N, N + size)] def AbsSubTriangle(g: rgen, N: int, K: int, size: int) -> tabl: + """ + Generates a sub-triangle with absolute values of a given size from a given row generator function. + Args: + g (rgen): The row generator function used to generate the elements of the triangle. + N (int): The starting row index of the sub-triangle. + K (int): The starting column index of the sub-triangle. + size (int): The size of the sub-triangle. + Returns: + tabl: The generated sub-triangle with absolute values. + """ return [[abs(g(n)[k]) for k in range(K, K - N + n + 1)] for n in range(N, N + size)] @@ -321,6 +385,10 @@ def AccRevTabl(T: tabl) -> tabl: return AccTabl(RevTabl(T)) +def AltSignTabl(T: tabl) -> tabl: + return [[(-1) ** k * T[n][k] for k in range(n + 1)] for n in range(len(T))] + + def Diffx1(T: tabl) -> trow: # flat tabl return [(k + 1) * c for row in T for k, c in enumerate(row)] @@ -381,6 +449,10 @@ def AccRev(T: tabl) -> trow: return [i for row in AccRevTabl(T) for i in row] +def AltSign(T: tabl) -> trow: + return [i for row in AltSignTabl(T) for i in row] + + def PrintTabls(g: tgen, size: int = 8, mdformat: bool = True) -> None: TABLSTRAIT: dict[str, Callable[[tabl], trow]] = {} @@ -1295,13 +1367,28 @@ def BinomialCatalan(n: int, k: int) -> int: return binomialcatalan(n)[k] +@cache +def binomialminus(n: int) -> list[int]: + if n == 0: + return [1] + row = [1 for _ in range(n + 1)] + row[1] = n + for k in range(1, n): + row[k + 1] = (row[k] * (n + k)) // (k + 1) + return row + + +@MakeTriangle(binomialminus, "BinomialMinus", ["A059481", "A027555"], True) +def BinomialMinus(n: int, k: int) -> int: + return binomialminus(n)[k] + + @cache def catalan(n: int) -> list[int]: if n == 0: return [1] if n == 1: return [0, 1] - pow = catalan(n - 1) + [0] row = pow.copy() for k in range(n - 1, 0, -1): @@ -2186,18 +2273,14 @@ def Rencontres(n: int, k: int) -> int: def risingfactorial(n: int) -> list[int]: if n == 0: return [1] - row = [0] + risingfactorial(n - 1) - for k in range(0, n): - row[k] += (n - k) * row[k + 1] + row = [1 for _ in range(n + 1)] + row[1] = n + for k in range(1, n): + row[k + 1] = row[k] * (n + k) return row -@MakeTriangle( - risingfactorial, - "RisingFact", - ["A008279", "A068424", "A094587", "A173333", "A181511"], - True, -) +@MakeTriangle(risingfactorial, "RisingFact", ["A124320"], False) def RisingFactorial(n: int, k: int) -> int: return risingfactorial(n)[k] @@ -2580,6 +2663,7 @@ def riordan_num(n: int) -> int: Binomial, BinomialBell, BinomialCatalan, + BinomialMinus, Catalan, CatalanAer, CatalanSqr, @@ -2660,7 +2744,11 @@ def riordan_num(n: int) -> int: def CrossReferences(name: str = "README.md") -> None: - """Writes the crossreferences as a md-table to the root.""" + """ + Writes the crossreferences as a md-table to the root. + Args: + name (str, optional): The name of the file to write the crossreferences to. Defaults to "README.md". + """ path = GetRoot(name) with open(path, "w+", encoding="utf-8") as xrefs: xrefs.write(readme_header) @@ -2680,6 +2768,11 @@ def CrossReferences(name: str = "README.md") -> None: def SaveExtendedTables(dim: int = 10) -> None: + """ + Saves the extended tables to the data/md folder. + Args: + dim (int, optional): The dimension of the tables. Defaults to 10. + """ tim: int = dim + dim for fun in tabl_fun: tablpath = GetDataPath(fun.id + ".tbl", "md") @@ -2768,11 +2861,13 @@ def SaveExtendedTables(dim: int = 10) -> None: "prepareAdvancedTable()\n", "\n" "

 

", ] -Footer = [ - "

Note: The A-numbers are based on a finite number of numerical comparisons. The B-numbers are
", - "A-numbers of sligthly different variants. They ignore the sign and the OEIS-offset and might differ
", - "in the first few values. Since the offset of all triangles is 0 also the offset of all sequences is 0.

", -] +Footer = ( + "

" + "Note: The A-numbers are based on a finite number of numerical comparisons. " + "The B-numbers are A-numbers of sligthly different variants. They ignore the sign " + "and the OEIS-offset and might differ in the first few values. Since the offset " + "of all triangles is 0 also the offset of all sequences is 0.

" +) def HtmlTriangle(fun: tgen) -> str: @@ -2826,6 +2921,13 @@ def navbar(fun: tgen) -> list[str]: def CsvToHtml(fun: tgen) -> None: + """ + Converts a CSV file to an HTML file. + Args: + fun (tgen): The generator object of the triangle. + Returns: + None + """ name = fun.id csvfile = GetDataPath(name, "csv") outfile = GetDataPath(name, "html") @@ -2891,8 +2993,7 @@ def CsvToHtml(fun: tgen) -> None: outfile.write("") for h in navbar(fun): outfile.write(h) - for h in Footer: - outfile.write(h) + outfile.write(Footer) for h in SCRIPT: outfile.write(h) @@ -2904,6 +3005,12 @@ def AllCsvToHtml() -> None: def is_tabletrait(f: Callable): + """ + Traits come in two flavors: + (a) The 'table' type: Callable[[tabl], trow]]: + (b) The 'generic' type: Callable[[rgen, int], trow]] + To diffenrentiate use the function 'is_tabletrait(f)' + that returns 'True' if 'f' is of table-type.""" sig = signature(f) ann = list(sig.parameters.values())[0].annotation return ann == list[list[int]] @@ -3277,8 +3384,8 @@ def QueryOeis(H: str, seq: list[int], db_cur: sqlite3.Cursor) -> str: def GetType(name: str) -> str: """ - There are 6 types: - ["", "Std", "Rev", "Inv", "Rev:Inv", "Inv:Rev"] + There are 7 types: + ["", "Std", "Rev", "Inv", "Rev:Inv", "Inv:Rev", "Alt"] """ sp = name.split(":", 1) if len(sp) == 1: @@ -3377,6 +3484,8 @@ def SaveExtendedTraitsToDB( thash = FNVhash(fun.tab(MINTERMS)) SaveTraits(fun, size, traits_cur, oeis_cur, table, TRAITS) fun.id = Tid + a = AltTable(fun, tim) + SaveTraits(a, size, traits_cur, oeis_cur, table, TRAITS) r = RevTable(fun, tim) rhash = FNVhash(r.tab(MINTERMS)) if thash != rhash: diff --git a/tabl.py b/tabl.py new file mode 100644 index 0000000..2c41f8d --- /dev/null +++ b/tabl.py @@ -0,0 +1,2825 @@ +import datetime +from functools import cache, reduce +from itertools import accumulate +from math import lcm, gcd, factorial +from sys import setrecursionlimit, set_int_max_str_digits +from typing import Callable, TypeAlias +from inspect import signature +import contextlib +import csv +import urllib.request +import urllib.error +import requests +from requests import get +import time +import gzip +import sqlite3 +import pandas as pd +from fractions import Fraction as frac +from pathlib import Path +setrecursionlimit(3000) +set_int_max_str_digits(5000) +path = Path(__file__).parent.parent +strippedpath = (path / "data/stripped").resolve() +def GetRoot(name: str = '') -> Path: + return (path / name).resolve() +def GetData(name: str) -> Path: + relpath = f"data/{name}" + return (path / relpath).resolve() +def GetDataPath(name: str, fix: str) -> Path: + relpath = f"data/{fix}/{name}.{fix}" + return (path / relpath).resolve() +def MakeDirectory(dir: Path) -> None: + """Checks if a path exists, and if not, + creates the new path.""" + Path(dir).mkdir(parents=True, exist_ok=True) +def EnsureDataDirectories() -> None: + MakeDirectory(GetRoot("data/csv")) + MakeDirectory(GetRoot("data/db")) + MakeDirectory(GetRoot("data/html")) + MakeDirectory(GetRoot("data/md")) +def InvertTabl(L: list[list[int]]) -> list[list[int]]: + """ + Calculates the inverse of a lower triangular matrix. + Args: + L (list[list[int]]): The lower triangular matrix. + Returns: + list[list[int]]: The integer inverse of the lower triangular matrix if it exists. + []: If the inverse does not exist. + """ + n = len(L) + inv = [[0 for i in range(n)] for _ in range(n)] # Identity matrix + for i in range(n): + inv[i][i] = 1 + for k in range(n): + for j in range(n): + for i in range(k): + inv[k][j] -= inv[i][j] * L[k][i] + a = inv[k][j] + b = L[k][k] + if b == 0: + # print("Warning: Inverse does not exist!") + # raise ValueError("Inverse does not exist!") + return [] + a, r = divmod(a, b) # make sure that a is integer + if r != 0: + # print("Warning: Integer terms do not exist!") + # raise ValueError("Integer terms do not exist!") + return [] + return [row[0:n + 1] for n, row in enumerate(inv)] +def InvertTriangle(r, dim: int) -> list[list[int]]: + M = [[r(n)[k] if k <= n else 0 for k in range(dim)] for n in range(dim)] + return InvertTabl(M) +"""Type: table row""" +trow: TypeAlias = list[int] +"""Type: triangle (resp. table)""" +tabl: TypeAlias = list[list[int]] +"""Type: sequence generator""" +seq: TypeAlias = Callable[[int], int] +"""Type: row generator""" +rgen: TypeAlias = Callable[[int], trow] +"""Type: triangle (resp. table) generator""" +tgen: TypeAlias = Callable[[int, int], int] +def Flat(T: tabl) -> list[int]: + """Flatten table to sequence + Args: + T (tabl): table + Returns: + list[int]: sequence + """ + if T == []: + return [] + return [i for row in T for i in row] +def SeqString(seq: list[int], maxlen: int, offset: int = 0) -> str: + """ + Converts a sequence of integers into a string representation. + Args: + seq (list[int]): The sequence of integers to be converted. + maxlen (int): The maximum length of the resulting string. + offset (int, optional): The starting index of the sequence. Defaults to 0. + Returns: + str: The string representation of the sequence. + """ + seqstr = "" + maxl = 0 + for trm in seq[offset:]: + s = str(trm) + "," + maxl += len(s) + if maxl > maxlen: + break + seqstr += s + return seqstr +def InvTable(T: tgen, size: int) -> tgen | None: + """ + Returns a generator for the inverse triangle if the triangle is ivertible. + Args: + T (tgen): The generator of the triangle. + size (int): Size of the inverse triangle to be generated. + Returns: + tgen : The generator of the inverse triangle. + None : If the inverse triangle does not exist. + """ + t = T.inv(size) + if t == []: + return None + @cache + def psgen(n: int) -> trow: + return list(t[n]) + @MakeTriangle(psgen, T.id + ":Inv", [], True) + def Psgen(n: int, k: int) -> int: + return psgen(n)[k] + return Psgen +def RevTable(T: tgen, size: int) -> tgen: + """ + Returns a generator for the reversed triangle. + Args: + T (tgen): The generator of the triangle. + size (int): Size of the reversed triangle to be generated. + Returns: + tgen: The generator of the reversed triangle. + """ + t = T.tab(size) + @cache + def rsgen(n: int) -> trow: + row = t[n] + return [row[n - i] for i in range(n + 1)] + @MakeTriangle(rsgen, T.id + ":Rev", [], True) + def Rsgen(n: int, k: int) -> int: + return rsgen(n)[k] + return Rsgen +def AltTable(T: tgen, size: int = 0) -> tgen: + """ + Returns a generator for the triangle with alternating signs. + Args: + T (tgen): The generator of the triangle. + size (int): Size of the sign-changed triangle to be generated. + Returns: + tgen: The generator of the sign-changed triangle. + """ + #t = T.tab(size) + r = T.gen + @cache + def asgen(n: int) -> trow: + #row = t[n] + return [(-1) ** k * term for k, term in enumerate(r(n))] + @MakeTriangle(asgen, T.id + ":Alt", [], True) + def Asgen(n: int, k: int) -> int: + return asgen(n)[k] + return Asgen +def RevInvTable(T: tgen, size: int) -> tgen | None: + """First inverse, then reverse. + read: Rev(Inv(T)) + Args: + T (tgen): _description_ + size (int): _description_ + Returns: + tgen | None: _description_ + """ + V = InvTable(T, size) + if V is None: + return None + J = RevTable(V, size) + @cache + def rigen(n: int) -> trow: + return list(J.gen(n)) + @MakeTriangle(rigen, J.id, [], True) + def Rigen(n: int, k: int) -> int: + return rigen(n)[k] + return Rigen +def InvRevTable(T: tgen, size: int) -> tgen | None: + """First reverse, then inverse. + read: Inv(Rev(T)) + Args: + T (tgen): _description_ + size (int): _description_ + Returns: + tgen | None: _description_ + """ + R = RevTable(T, size) + S = InvTable(R, size) + if S is None: + return None + @cache + def tigen(n: int) -> trow: + return list(S.gen(n)) + @MakeTriangle(tigen, S.id, [], True) + def Tigen(n: int, k: int) -> int: + return tigen(n)[k] + return Tigen +def SubTriangle(g: rgen, N: int, K: int, size: int) -> tabl: + """ + Generates a sub-triangle of a given size from a given row generator function. + Args: + g (rgen): The row generator function used to generate the elements of the triangle. + N (int): The starting row index of the sub-triangle. + K (int): The starting column index of the sub-triangle. + size (int): The size of the sub-triangle. + Returns: + tabl: The generated sub-triangle. + """ + return [[g(n)[k] for k in range(K, K - N + n + 1)] for n in range(N, N + size)] +def AbsSubTriangle(g: rgen, N: int, K: int, size: int) -> tabl: + """ + Generates a sub-triangle with absolute values of a given size from a given row generator function. + Args: + g (rgen): The row generator function used to generate the elements of the triangle. + N (int): The starting row index of the sub-triangle. + K (int): The starting column index of the sub-triangle. + size (int): The size of the sub-triangle. + Returns: + tabl: The generated sub-triangle with absolute values. + """ + return [[abs(g(n)[k]) for k in range(K, K - N + n + 1)] for n in range(N, N + size)] +def MakeTriangle( + gen: rgen, id: str, sim: list[str], vert: bool = False +) -> Callable[..., Callable[[int, int], int]]: + def makerow(n: int) -> trow: + return list(gen(n)) + def maketab(size: int) -> tabl: + return [list(gen(n)) for n in range(size)] + def makerev(size: int) -> tabl: + return [list(reversed(gen(n))) for n in range(size)] + def makemat(size: int) -> tabl: + return [[gen(n)[k] if k <= n else 0 for k in range(size)] for n in range(size)] + def makeflat(size: int) -> trow: + return [gen(n)[k] for n in range(size) for k in range(n + 1)] + def makeinv(size: int) -> tabl: + if not vert: + return [] + return InvertTriangle(gen, size) + def makerevinv(size: int) -> tabl: + if not vert: + return [] + V = InvertTriangle(gen, size) + if V == []: + return [] + return [[V[n][n - k] for k in range(n + 1)] for n in range(size)] + def makeinvrev(size: int) -> tabl: + R = [list(reversed(gen(n))) for n in range(size)] + M = [[R[n][k] if k <= n else 0 for k in range(size)] for n in range(size)] + return InvertTabl(M) + def sub(N: int, K: int) -> Callable[[int], tabl]: + def gsub(size: int) -> tabl: + return [ + [gen(n)[k] for k in range(K, K - N + n + 1)] for n in range(N, N + size) + ] + return gsub + def abssub(N: int, K: int) -> Callable[[int], tabl]: + def gabssub(size: int) -> tabl: + return [ + [abs(gen(n)[k]) for k in range(K, K - N + n + 1)] + for n in range(N, N + size) + ] + return gabssub + def Triangle(f: Callable[[int, int], int]) -> Callable[[int, int], int]: + f.tab = maketab + f.rev = makerev + f.mat = makemat + f.inv = makeinv + f.flat = makeflat + f.row = makerow + f.revinv = makerevinv + f.invrev = makeinvrev + f.sub = sub + f.abssub = abssub + f.sim = sim + f.id = id + f.gen = gen + return f + return Triangle +def AntiDiagTabl(T: tabl) -> tabl: + """Return the table of (upward) anti-diagonals.""" + return [[T[n - k - 1][k] + for k in range((n + 1) // 2)] + for n in range(1, len(T) + 1)] +def AccTabl(T: tabl) -> tabl: + return [list(accumulate(row)) for row in T] +def RevTabl(T: tabl) -> tabl: + return [list(reversed(row)) for row in T] +def InvTabl(T: tabl) -> tabl: + return InvertTabl(T) +def InvRevTabl(T: tabl) -> tabl: + return InvertTabl(RevTabl(T)) +def RevAccTabl(T: tabl) -> tabl: + return RevTabl(AccTabl(T)) +def AccRevTabl(T: tabl) -> tabl: + return AccTabl(RevTabl(T)) +def AltSignTabl(T: tabl) -> tabl: + return [[(-1)**k * T[n][k] + for k in range(n + 1)] + for n in range(len(T))] +def Diffx1(T: tabl) -> trow: # flat tabl + return [(k + 1) * c for row in T for k, c in enumerate(row)] +def Diffx1Tabl(T: tabl) -> tabl: + return [[(k + 1) * c for k, c in enumerate(row)] for row in T] +def Diffx0(T: tabl) -> trow: # flat tabl + return [k * c for row in T for k, c in enumerate(row)] +def Diffx0Tabl(T: tabl) -> tabl: + return [[k * c for k, c in enumerate(row)] for row in T] +def Triangle(T: tabl) -> trow: + return [i for row in T for i in row] +def Triangle_(g: rgen, row: int) -> trow: + return g(row) +def Inv(T: tabl) -> trow: + IT = InvTabl(T) + if InvTabl(T) == []: + return [] + return [i for row in IT for i in row] +def Rev(T: tabl) -> trow: + return [i for row in RevTabl(T) for i in row] +def InvRev(T: tabl) -> trow: + return [i for row in InvTabl(RevTabl(T)) for i in row] +def RevInv(T: tabl) -> trow: + IT = InvTabl(T) + return [i for row in RevTabl(IT) for i in row] +def AntiDiag(T: tabl) -> trow: + return [i for row in AntiDiagTabl(T) for i in row] +def Acc(T: tabl) -> trow: + return [i for row in AccTabl(T) for i in row] +def RevAcc(T: tabl) -> trow: + return [i for row in RevAccTabl(T) for i in row] +def AccRev(T: tabl) -> trow: + return [i for row in AccRevTabl(T) for i in row] +def AltSign(T: tabl) -> trow: + return [i for row in AltSignTabl(T) for i in row] +def PrintTabls(g: tgen, size: int = 8, mdformat: bool = True) -> None: + TABLSTRAIT: dict[str, Callable[[tabl], trow]] = {} + def RegisterTablsTrait(f: Callable[[tabl], trow]) -> None: + TABLSTRAIT[f.__name__] = f + T = g.tab(size) + RegisterTablsTrait(Triangle) + RegisterTablsTrait(Rev) + RegisterTablsTrait(Inv) + RegisterTablsTrait(InvRev) + RegisterTablsTrait(RevInv) + RegisterTablsTrait(Acc) + RegisterTablsTrait(RevAcc) + RegisterTablsTrait(AccRev) + RegisterTablsTrait(AntiDiag) + RegisterTablsTrait(Diffx0) + trianglename = g.id + if mdformat: + print("#", trianglename, ": Tables") + print() # reqiured! + print("| Trait | Seq |") + print("| :--- | :--- |") + for traitname, trait in TABLSTRAIT.items(): + print(f'| {traitname:<15} | {trait(T)} |') + else: + for traitname, trait in TABLSTRAIT.items(): + print(f'{trianglename+":"+traitname:<21} {trait(T)}') +def PolyEval_(g: rgen, n: int, x: int) -> int: + row = g(n) + return sum(c * (x ** j) for (j, c) in enumerate(row)) +def PolyEval(T: tabl, n: int, x: int) -> int: + return sum(T[n][k] * (x ** k) for k in range(n + 1)) +def PolyRow(g: rgen, size: int, row: int) -> trow: + return [PolyEval_(g, row, x) for x in range(size)] +def PolyRow0(g: rgen, size: int) -> trow: return PolyRow(g, size, 0) +def PolyRow1(g: rgen, size: int) -> trow: return PolyRow(g, size, 1) +def PolyRow2(g: rgen, size: int) -> trow: return PolyRow(g, size, 2) +def PolyRow3(g: rgen, size: int) -> trow: return PolyRow(g, size, 3) +def PolyCol(g: rgen, size: int, col: int) -> trow: + return [PolyEval_(g, k, col) for k in range(size)] +def PolyCol0(g: rgen, size: int) -> trow: return PolyCol(g, size, 0) +def PolyCol1(g: rgen, size: int) -> trow: return PolyCol(g, size, 1) +def PolyCol2(g: rgen, size: int) -> trow: return PolyCol(g, size, 2) +def PolyCol3(g: rgen, size: int) -> trow: return PolyCol(g, size, 3) +def PolyDiag(g: rgen, size: int) -> trow: + return [PolyEval_(g, n, n) for n in range(size)] +def AntiDiagPoly(g: rgen, n: int) -> trow: + return [PolyEval_(g, n - k, k) for k in range(n + 1)] +def PolyDiagTabl(g: rgen, size: int) -> tabl: + return [AntiDiagPoly(g, n) for n in range(size)] +def Poly(g: rgen, size: int) -> trow: + return [i for row in PolyDiagTabl(g, size) for i in row] +def PolyFrac(T: tabl, x: frac) -> list[frac | int]: + return [sum(c * (x ** k) for (k, c) in enumerate(row)) for row in T] +def PosHalf_(g: rgen, size: int) -> trow: + T = [g(n) for n in range(size)] + R = PolyFrac(T, frac(1, 2)) + return [((2 ** n) * r).numerator for n, r in enumerate(R)] +def PosHalf(T: tabl) -> trow: + R = PolyFrac(T, frac(1, 2)) + return [((2 ** n) * r).numerator for n, r in enumerate(R)] +def NegHalf_(g: rgen, size: int) -> trow: + T = [g(n) for n in range(size)] + R = PolyFrac(T, frac(-1, 2)) + return [(((-2) ** n) * r).numerator for n, r in enumerate(R)] +def NegHalf(T: tabl) -> trow: + R = PolyFrac(T, frac(-1, 2)) + return [(((-2) ** n) * r).numerator for n, r in enumerate(R)] +def PrintPolys(t: tgen, size: int = 8, mdformat: bool = True) -> None: + POLYTRAIT: dict[str, Callable[[t.gen, int], trow]] = {} + def RegisterPolyTrait(f: Callable[[t.gen, int], trow]) -> None: + POLYTRAIT[f.__name__] = f + RegisterPolyTrait(Poly) + RegisterPolyTrait(PolyRow0) + RegisterPolyTrait(PolyRow1) + RegisterPolyTrait(PolyRow2) + RegisterPolyTrait(PolyRow3) + RegisterPolyTrait(PolyCol0) + RegisterPolyTrait(PolyCol1) + RegisterPolyTrait(PolyCol2) + RegisterPolyTrait(PolyCol3) + RegisterPolyTrait(PolyDiag) + RegisterPolyTrait(PosHalf_) + RegisterPolyTrait(NegHalf_) + trianglename = t.id + gen = t.gen + if mdformat: + print("#", trianglename, ": Polynomial values") + print("| Trait | Seq |") + print("| :--- | :--- |") + for traitname, trait in POLYTRAIT.items(): + print(f'| {traitname:<8} | {trait(gen, size)} |') + print() + else: + for traitname, trait in POLYTRAIT.items(): + print(f'{trianglename+":"+traitname:<14} {trait(gen, size)}') +def LinMap_(g: rgen, V: seq, size: int) -> trow: + return [sum(g(n)[k] * V(k) for k in range(n + 1)) for n in range(size)] +def LinMap(T: tabl, V: seq) -> trow: + return [sum(T[n][k] * V(k) for k in range(n + 1)) for n in range(len(T))] +def BinMap(V: seq, size: int) -> trow: + return [sum(binomial(n)[k] * V(k) for k in range(n + 1)) for n in range(size)] +def BinTabl_(g: rgen, size: int) -> tabl: + return [BinMap(lambda k: g(n)[k], n + 1) for n in range(size)] +def BinTabl(T: tabl) -> tabl: + return [BinMap(lambda k: T[n][k], n + 1) for n in range(len(T))] +def FlatBinTabl(T: tabl) -> trow: + return [i for row in BinTabl(T) for i in row] +def BinConv(T: tabl) -> trow: + R = [LinMap_(binomial, lambda k: T[n][k], n + 1) for n in range(len(T))] + return [row[-1] for row in R] +def BinConv_(g: rgen, size: int) -> trow: + T = BinTabl_(g, size) + return [row[-1] for row in T] +def ConvTabl_(g: rgen, size: int) -> tabl: + return [LinMap_(g, lambda k: g(n)[k], n + 1) for n in range(size)] +def Conv(T: tabl) -> tabl: + def g(n: int) -> list[int]: + return [T[n][k] for k in range(n + 1)] + return [LinMap_(g, lambda k: g(n)[k], n + 1) for n in range(len(T))] +def FlatConvTabl(T: tabl) -> trow: + return [i for row in Conv(T) for i in row] +def InvLinMap(g: rgen, V: seq, size: int) -> trow: + return [ + sum((-1) ** (n - k) * g(n)[k] * V(k) for k in range(n + 1)) for n in range(size) + ] +def InvConvTabl(g: rgen, size: int) -> tabl: + return [InvLinMap(g, lambda k: g(n)[k], n + 1) for n in range(size)] +def InvBinMap(V: seq, size: int) -> trow: + return [ + sum((-1) ** (n - k) * binomial(n)[k] * V(k) for k in range(n + 1)) + for n in range(size) + ] +def InvBin(T: tabl) -> tabl: + return [InvBinMap(lambda k: T[n][k], n + 1) for n in range(len(T))] +def InvBin_(g: rgen, size: int) -> tabl: + return [InvBinMap(lambda k: g(n)[k], n + 1) for n in range(size)] +def FlatInvBinTabl(T: tabl) -> trow: + return [i for row in InvBin(T) for i in row] +def InvBinConv(T: tabl) -> trow: + R = [ + LinMap_(binomial, lambda k: (-1) ** (n - k) * T[n][k], n + 1) + for n in range(len(T)) + ] + return [row[-1] for row in R] +def InvBinConv_(g: rgen, size: int) -> trow: + T = InvBin_(g, size) + return [row[-1] for row in T] +def DiagRow(g: rgen, size: int, j: int) -> trow: + return [g(j + k)[k] for k in range(size)] +def DiagRow0(g: rgen, size: int) -> trow: + return DiagRow(g, size, 0) +def DiagRow1(g: rgen, size: int) -> trow: + return DiagRow(g, size, 1) +def DiagRow2(g: rgen, size: int) -> trow: + return DiagRow(g, size, 2) +def DiagRow3(g: rgen, size: int) -> trow: + return DiagRow(g, size, 3) +def DiagCol(g: rgen, size: int, j: int) -> trow: + return [g(j + k)[j] for k in range(size)] +def DiagCol0(g: rgen, size: int) -> trow: + return DiagCol(g, size, 0) +def DiagCol1(g: rgen, size: int) -> trow: + return DiagCol(g, size, 1) +def DiagCol2(g: rgen, size: int) -> trow: + return DiagCol(g, size, 2) +def DiagCol3(g: rgen, size: int) -> trow: + return DiagCol(g, size, 3) +def Lcm_(g: rgen, row: int) -> int: + Z = [v for v in g(row) if v not in [-1, 0, 1]] + return lcm(*Z) if Z != [] else 1 +def TabLcm_(g: rgen, size: int) -> trow: + return [Lcm_(g, row) for row in range(size)] +def Lcm(t: trow) -> int: + Z = [v for v in t if v not in [-1, 0, 1]] + return lcm(*Z) if Z != [] else 1 +def RowLcm(T: tabl) -> trow: + return [Lcm(row) for row in T] +def RowLcm_(g: rgen, size: int) -> trow: + return [Lcm_(g, row) for row in range(size)] +def Gcd_(g: rgen, row: int) -> int: + Z = [v for v in g(row) if v not in [-1, 0, 1]] + return gcd(*Z) if Z != [] else 1 +def RowGcd_(g: rgen, size: int) -> trow: + return [Gcd_(g, row) for row in range(size)] +def Gcd(r: trow) -> int: + Z = [v for v in r if v not in [-1, 0, 1]] + return gcd(*Z) if Z != [] else 1 +def GcdReducedRow(r: trow) -> trow: + Z = [v for v in r if v not in [-1, 0, 1]] + cd = gcd(*Z) if Z != [] else 1 + return [v // cd if v not in [-1, 0, 1] else v for v in r] +def GcdReduced(T: tabl) -> tabl: + return [GcdReducedRow(row) for row in T] +def RowGcd(T: tabl) -> trow: + return [Gcd(row) for row in T] +def Max_(g: rgen, row: int) -> int: + absf = [abs(t) for t in g(row)] + return reduce(max, absf) +def Max(r: trow) -> int: + absrow = [abs(n) for n in r] + return reduce(max, absrow) +def RowMax_(g: rgen, size: int) -> trow: + return [Max_(g, row) for row in range(size)] +def RowMax(T: tabl) -> trow: + return [Max(row) for row in T] +def Trans_(g: rgen, V: Callable[[int], int], size: int) -> trow: + return [sum(g(n)[k] * V(k) for k in range(n + 1)) for n in range(size)] +def Trans(T: tabl, V: Callable[[int], int]) -> trow: + return [sum(T[n][k] * V(k) for k in range(n + 1)) for n in range(len(T))] +def TransSqrs_(g: rgen, size: int) -> trow: + return Trans_(g, lambda k: k * k, size) +def TransSqrs(T: tabl) -> trow: + return Trans(T, lambda k: k * k) +def TransNat0_(g: rgen, size: int) -> trow: + return Trans_(g, lambda k: k, size) +def TransNat0(T: tabl) -> trow: + return Trans(T, lambda k: k) +def TransNat1_(g: rgen, size: int) -> trow: + return Trans_(g, lambda k: k + 1, size) +def TransNat1(T: tabl) -> trow: + return Trans(T, lambda k: k + 1) +def ColMiddle(T: tabl) -> trow: + return [row[n // 2] for n, row in enumerate(T)] +def CentralE(T: tabl) -> trow: + return [row[n // 2] for n, row in enumerate(T) if n % 2 == 0] +def CentralO(T: tabl) -> trow: + return [row[n // 2] for n, row in enumerate(T) if n % 2 == 1] +def ColLeft(T: tabl) -> trow: + return [row[0] for row in T] +def ColRight(T: tabl) -> trow: + return [row[-1] for row in T] +def PrintTransforms(t: tgen, size: int = 8, mdformat: bool = True) -> None: + TRANSTRAIT: dict[str, Callable[[t.gen, int], trow]] = {} + def RegisterTransTrait(f: Callable[[t.gen, int], trow]) -> None: + TRANSTRAIT[f.__name__] = f + RegisterTransTrait(TransSqrs_) + RegisterTransTrait(TransNat0_) + RegisterTransTrait(TransNat1_) + RegisterTransTrait(DiagRow0) + RegisterTransTrait(DiagRow1) + RegisterTransTrait(DiagRow2) + RegisterTransTrait(DiagRow3) + RegisterTransTrait(DiagCol0) + RegisterTransTrait(DiagCol1) + RegisterTransTrait(DiagCol2) + RegisterTransTrait(DiagCol3) + trianglename = t.id + gen = t.gen + if mdformat: + print("#", trianglename, ": Transforms") + print("| Trait | Seq |") + print("| :--- | :--- |") + for traitname, trait in TRANSTRAIT.items(): + print(f"| {traitname:<8} | {trait(gen, size)} |") + print() + else: + for traitname, trait in TRANSTRAIT.items(): + print(f'{trianglename + ":" + traitname:<14} {trait(gen, size)}') +def PrintMiscTraits(T: tabl, trianglename: str, mdformat: bool = True) -> None: + MISCTRAIT: dict[str, Callable[[tabl], trow]] = {} + def RegisterMiscTrait(f: Callable[[tabl], trow]) -> None: + MISCTRAIT[f.__name__] = f + RegisterMiscTrait(RowLcm) + RegisterMiscTrait(RowGcd) + RegisterMiscTrait(RowMax) + RegisterMiscTrait(ColMiddle) + RegisterMiscTrait(CentralE) + RegisterMiscTrait(ColLeft) + RegisterMiscTrait(ColRight) + RegisterMiscTrait(BinConv) + RegisterMiscTrait(InvBinConv) + if mdformat: + print("#", trianglename, ": Transforms") + print("| Trait | Seq |") + print("| :--- | :--- |") + for traitname, trait in MISCTRAIT.items(): + print(f"| {traitname:<12} | {trait(T)} |") + print() + else: + for traitname, trait in MISCTRAIT.items(): + print(f'{trianglename + ":" + traitname:<18} {trait(T)}') +def even_sum(r: trow) -> int: + return sum(r[::2]) +def even_sum_(g: rgen, index: int) -> int: + return even_sum(g(index)) +def odd_sum(r: trow) -> int: + return sum(r[1::2]) +def odd_sum_(g: rgen, index: int) -> int: + return odd_sum(g(index)) +def antidiag_sum(r: trow) -> int: + return sum(r) +def antidiag_sum_(g: rgen, n: int) -> int: + return sum([g(n - k)[k] for k in range((n + 2) // 2)]) +def acc_sum(r: trow) -> int: + return sum(accumulate(r)) +def acc_sum_(g: rgen, index: int) -> int: + return acc_sum(g(index)) +def accrev_sum(r: trow) -> int: + return sum(accumulate(reversed(r))) +def accrev_sum_(g: rgen, index: int) -> int: + return acc_sum(g(index)) +def alt_sum(r: trow) -> int: + return even_sum(r) - odd_sum(r) +def alt_sum_(g: rgen, index: int) -> int: + return alt_sum(g(index)) +def RowSum(T: tabl) -> trow: + return [sum(row) for row in T] +def RowSum_(g: rgen, size: int) -> trow: + return [sum(g(n)) for n in range(size)] +def EvenSum(T: tabl) -> trow: + return [even_sum(row) for row in T] +def EvenSum_(g: rgen, size: int) -> trow: + return [even_sum(g(n)) for n in range(size)] +def OddSum(T: tabl) -> trow: + return [odd_sum(row) for row in T] +def OddSum_(g: rgen, size: int) -> trow: + return [odd_sum(g(n)) for n in range(size)] +def AltSum(T: tabl) -> trow: + return [alt_sum(row) for row in T] +def AltSum_(g: rgen, size: int) -> trow: + return [alt_sum(g(n)) for n in range(size)] +def AccSum(T: tabl) -> trow: + return [acc_sum(row) for row in T] +def AccSum_(g: rgen, size: int) -> trow: + return [acc_sum(g(n)) for n in range(size)] +def AccRevSum(T: tabl) -> trow: + return [accrev_sum(row) for row in T] +def AccRevSum_(g: rgen, size: int) -> trow: + return [accrev_sum(g(n)) for n in range(size)] +def DiagSum(T: tabl) -> trow: + def row(n: int) -> list[int]: + return [T[n - k - 1][k] for k in range((n + 1) // 2)] + return [sum(row(n)) for n in range(1, len(T) + 1)] +def DiagSum_(g: rgen, size: int) -> trow: + return [antidiag_sum_(g, n) for n in range(size)] +def PrintSums(T: tabl, trianglename: str, mdformat: bool = True) -> None: + SUMTRAIT: dict[str, Callable[[tabl], trow]] = {} + def RegisterSumTrait(f: Callable[[tabl], trow]) -> None: + SUMTRAIT[f.__name__] = f + RegisterSumTrait(RowSum) + RegisterSumTrait(EvenSum) + RegisterSumTrait(OddSum) + RegisterSumTrait(AltSum) + RegisterSumTrait(AccSum) + RegisterSumTrait(AccRevSum) + RegisterSumTrait(DiagSum) + if mdformat: + # print("#", trianglename, ": Sums") + print("| Trait | Seq |") + print("| :--- | :--- |") + for traitname, trait in SUMTRAIT.items(): + print(f"| {traitname:<12} | {trait(T)} |") + else: + for traitname, trait in SUMTRAIT.items(): + print(f'{trianglename + ":" + traitname:<18} {trait(T)}') +def flat(t: tabl) -> list[int]: + """Flatten table to sequence + Args: + t (tabl): table + Returns: + list[int]: sequence + """ + if t == []: + return [] + return [i for row in t for i in row] +def PrintTabl(t: tabl) -> None: + for row in t: + print(row) +def PrintFlat(t: tabl) -> None: + print([i for r in t for i in r]) +def PrintRows(t: tabl) -> None: + print("| Row | Seq |") + print("| :--- | :--- |") + for n, row in enumerate(t): + print(f"| Row{n} | {row} |") +def PrintTerms(t: tabl) -> None: + count = 0 + for n, row in enumerate(t): + for k, term in enumerate(row): + print(count, [n, k], term) + count += 1 +def PrintRowArray(T: rgen, rows: int, cols: int) -> None: + print("| DiagRow | Seq |") + print("| :--- | :--- |") + for j in range(rows): + print(f"| DiagRow{j} | {[T(j + k)[k] for k in range(cols)]}|") +def PrintColArray(T: rgen, rows: int, cols: int) -> None: + print("| DiagCol | Seq |") + print("| :--- | :--- |") + for j in range(cols): + print(f"| DiagCol{j} | {[T(j + k)[j] for k in range(rows)]} |") +def PrintPolyRowArray(T: rgen, rows: int, cols: int) -> None: + print("| PolyRow | Seq |") + print("| :--- | :--- |") + for n in range(rows): + print(f"| PolyRow{n} | {PolyRow(T, cols, n)} |") +def PrintPolyColArray(T: rgen, rows: int, cols: int) -> None: + print("| PolyCol | Seq |") + print("| :--- | :--- |") + for n in range(rows): + print(f"| PolyCol{n} | {PolyCol(T, cols, n)} |") +def PrintFlats(t: tabl) -> None: + print("| Flat | Seq |") + print("| :--- | :--- |") + print(f"| Triangle | {t} |") + print(f"| RevTabl | {RevTabl(t)} |") + print(f"| AntiDiag | {AntiDiagTabl(t)} |") + print(f"| AccTabl | {AccTabl(t)} |") + print(f"| RevAccTabl | {RevAccTabl(t)} |") + print(f"| AccRevTabl | {AccRevTabl(t)} |") + print(f"| DiffxTabl | {Diffx1Tabl(t)} |") +def PrintTrans(t: tabl) -> None: + print("| Trans | Seq |") + print("| :--- | :--- |") + print(f"| RowLcm | {RowLcm(t)} |") + print(f"| RowGcd | {RowGcd(t)} |") + print(f"| RowMax | {RowMax(t)} |") + print(f"| CentralE | {CentralE(t)} |") + print(f"| CentralO | {CentralO(t)} |") + print(f"| ColMiddle | {ColMiddle(t)} |") + print(f"| ColLeft | {ColLeft(t)} |") + print(f"| ColRight | {ColRight(t)} |") + print(f"| BinConv | {BinConv(t)} |") + print(f"| InvBinConv | {InvBinConv(t)} |") + print(f"| TransSqrs | {TransSqrs(t)} |") + print(f"| TransNat0 | {TransNat0(t)} |") + print(f"| TransNat1 | {TransNat1(t)} |") + print(f"| PosHalf | {PosHalf(t)} |") + print(f"| NegHalf | {NegHalf(t)} |") +def PrintViews(g: tgen, rows: int = 7, verbose: bool = True) -> None: + print("# " + g.id) + print(g.sim) + cols: int = rows + print() + T: tabl = g.tab(rows) + if verbose: + print(g.id, "Triangle view") + print() + PrintRows(T) + print() + if verbose: + print(g.id, "Triangles\n") + PrintFlats(T) + print() + if verbose: + print(g.id, "Row sums\n") + PrintSums(T, g.id) + print() + if verbose: + print(g.id, "Transforms\n") + PrintTrans(T) + print() + if verbose: + print(g.id, "Diagonals as rows\n") + PrintRowArray(g.gen, rows, cols) + print() + if verbose: + print(g.id, "Diagonals as columns\n") + PrintColArray(g.gen, rows, cols) + print() + if verbose: + print(g.id, "Polynomial values as rows\n") + PrintPolyRowArray(g.gen, rows, cols) + print() + if verbose: + print(g.id, "Polynomial values as columns\n") + PrintPolyColArray(g.gen, rows, cols) + print() +def PrintProfile(fun: tgen, dim: int = 10) -> None: + tim: int = dim + dim + PrintViews(fun, dim) + V = InvTable(fun, tim) + if V is not None: + PrintViews(V, dim) + r = RevTable(fun, tim) + PrintViews(r, dim) + r = RevInvTable(fun, tim) + if r is not None: + PrintViews(r, dim) + r = InvRevTable(fun, tim) + if r is not None: + PrintViews(r, dim) +@cache +def abel(n: int) -> list[int]: + if n == 0: + return [1] + b = binomial(n - 1) + return [b[k - 1] * n ** (n - k) if k > 0 else 0 for k in range(n + 1)] +@MakeTriangle(abel, "Abel", ["A137452", "A061356", "A139526"], True) +def Abel(n: int, k: int) -> int: + return abel(n)[k] +@cache +def F(n: int) -> int: + return factorial(n) ** 3 * ((n + 1) * (n + 1) * (n + 2)) +@cache +def baxter(n: int) -> list[int]: + if n == 0: + return [1] + return [0] + [(2 * F(n - 1)) // (F(k - 1) * F(n - k)) for k in range(1, n + 1)] +@MakeTriangle(baxter, "Baxter", ["A359363", "A056939"], False) +def Baxter(n: int, k: int) -> int: + return baxter(n)[k] +@cache +def bell(n: int) -> list[int]: + if n == 0: + return [1] + row = [bell(n - 1)[n - 1]] + bell(n - 1) + for k in range(1, n + 1): + row[k] += row[k - 1] + return row +@MakeTriangle(bell, "Bell", ["A011971", "A011972", "A123346"], False) +def Bell(n: int, k: int) -> int: + return bell(n)[k] +@cache +def bessel(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [0, 1] + row = bessel(n - 1) + [1] + for k in range(n - 1, 0, -1): + row[k] = row[k - 1] + (2 * (n - 1) - k) * row[k] + return row +@MakeTriangle(bessel, "Bessel", ["A132062", "A001497", "A001498", "A122850"], True) +def Bessel(n: int, k: int) -> int: + return bessel(n)[k] +@cache +def bessel2(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [1, 0] + row = bessel2(n - 1) + [0] + row[n] = 0 if n % 2 else row[n - 2] + for k in range(2, n, 2): + row[k] = (n * row[k]) // (n - k) + return row +@MakeTriangle( + bessel2, + "Bessel2", + ["A359760", "A073278", "A066325", "A099174", "A111924", "A144299", "A104556"], + False, +) +def Bessel2(n: int, k: int) -> int: + return bessel2(n)[k] +@cache +def binarypell(n): + if n == 0: + return [1] + arow = binarypell(n-1) + row = arow + [1] + for k in range(n-1, 0, -1): + row[k] = arow[k - 1] + 2 * arow[k] + row[0] = 2 * arow[0] + return row +@MakeTriangle(binarypell, "BinaryPell", ["A038207"], True) +def BinaryPell(n: int, k: int) -> int: + return binarypell(n)[k] +@cache +def binomial(n: int) -> list[int]: + if n == 0: + return [1] + row = [1] + binomial(n - 1) + for k in range(1, n): + row[k] += row[k + 1] + return row +@MakeTriangle( + binomial, + "Binomial", + [ + "A007318", + "A074909", + "A108086", + "A117440", + "A118433", + "A130595", + "A135278", + "A154926", + ], + True, +) +def Binomial(n: int, k: int) -> int: + return binomial(n)[k] +@cache +def binomialbell(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [0, 1] + a = binomialbell(n - 1) + [1] + s = sum(a) - 1 + for j in range(n - 2, 0, -1): + a[j + 1] = (a[j] * (n - 1)) // j + a[1] = s + return a +@MakeTriangle(binomialbell, "BinomialBell", ["A056857", "A056860"], True) +def BinomialBell(n: int, k: int) -> int: + return binomialbell(n)[k] +@cache +def binomialcatalan(n: int) -> list[int]: + if n == 0: + return [1] + a = binomialcatalan(n - 1) + [0] + row = [0] * (n + 1) + row[0] = 1 + row[1] = n + for k in range(2, n + 1): + row[k] = (a[k] * (n + k + 1) + a[k - 1] * (4 * k - 2)) // (n + 1) + return row +@MakeTriangle(binomialcatalan, "BinomialCatalan", ["A124644", "A098474"], True) +def BinomialCatalan(n: int, k: int) -> int: + return binomialcatalan(n)[k] +@cache +def binomialminus(n: int) -> list[int]: + if n == 0: + return [1] + row = [1 for _ in range(n + 1)] + row[1] = n + for k in range(1, n): + row[k + 1] = (row[k] * (n + k)) // (k + 1) + return row +@MakeTriangle(binomialminus, "BinomialMinus", ["A059481", "A027555"], True) +def BinomialMinus(n: int, k: int) -> int: + return binomialminus(n)[k] +@cache +def catalan(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [0, 1] + pow = catalan(n - 1) + [0] + row = pow.copy() + for k in range(n - 1, 0, -1): + row[k] = pow[k - 1] + 2 * pow[k] + pow[k + 1] + row[n] = 1 + return row +@MakeTriangle(catalan, "Catalan", ["A128899", "A039598"], True) +def Catalan(n: int, k: int) -> int: + return catalan(n)[k] +@cache +def catalanaer(n: int) -> list[int]: + if n == 0: + return [1] + def r(k: int) -> int: + return catalanaer(n - 1)[k] if k >= 0 and k < n else 0 + row = catalanaer(n - 1) + [1] + for k in range(0, n): + row[k] = r(k - 1) + r(k + 1) + return row +@MakeTriangle( + catalanaer, "CatalanAer", ["A053121", "A052173", "A112554", "A322378"], True +) +def CatalanAer(n: int, k: int) -> int: + return catalanaer(n)[k] +@cache +def catalansqr(n: int) -> list[int]: + if n == 0: + return [1] + pow = catalansqr(n - 1) + [0] + row = pow.copy() + row[0] += row[1] + row[n] = 1 + for k in range(n - 1, 0, -1): + row[k] = pow[k - 1] + 2 * pow[k] + pow[k + 1] + return row +@MakeTriangle(catalansqr, "CatalanSqr", ["A039599", "A050155"], True) +def CatalanSqr(n: int, k: int) -> int: + return catalansqr(n)[k] +@cache +def centralcycle(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [0, 1] + row = centralcycle(n - 1) + [0] + for k in range(n, 0, -1): + row[k] = (n + k - 1) * (row[k] + row[k - 1]) + return row +@MakeTriangle(centralcycle, "CentralCycle", ["A269940", "A111999", "A259456"], False) +def CentralCycle(n: int, k: int) -> int: + return centralcycle(n)[k] +@cache +def centralset(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [0, 1] + row = centralset(n - 1) + [1] + for k in range(n - 1, 1, -1): + row[k] = k**2 * row[k] + row[k - 1] + return row +@MakeTriangle(centralset, "CentralSet", ["A269945", "A008957", "A036969"], True) +def CentralSet(n: int, k: int) -> int: + return centralset(n)[k] +@cache +def chebyshevs(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [0, 1] + rov = chebyshevs(n - 2) + row = [0] + chebyshevs(n - 1) + for k in range(0, n - 1): + row[k] -= rov[k] + return row +@MakeTriangle( + chebyshevs, "ChebyshevS", ["A049310", "A053119", "A112552", "A168561"], True +) +def ChebyshevS(n: int, k: int) -> int: + return chebyshevs(n)[k] +@cache +def chebyshevt(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [0, 1] + rov = chebyshevt(n - 2) + row = [0] + chebyshevt(n - 1) + row[n] = 2 * row[n] + for k in range(0, n - 1): + row[k] = 2 * row[k] - rov[k] + return row +@MakeTriangle(chebyshevt, "ChebyshevT", ["A053120", "A039991", "A081265"], True) +def ChebyshevT(n: int, k: int) -> int: + return chebyshevt(n)[k] +@cache +def chebyshevu(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [0, 2] + rov = chebyshevu(n - 2) + row = [0] + chebyshevu(n - 1) + row[n] = 2 * row[n] + for k in range(0, n - 1): + row[k] = 2 * row[k] - rov[k] + return row +@MakeTriangle(chebyshevu, "ChebyshevU", ["A053117", "A053118", "A115322"], True) +def ChebyshevU(n: int, k: int) -> int: + return chebyshevu(n)[k] +@cache +def ctree(n: int) -> list[int]: + if n % 2 == 1: + return [1] * (n + 1) + return [1, 0] * (n // 2) + [1] +@MakeTriangle(ctree, "ChristTree", ["A106465", "A106470"], True) +def Ctree(n: int, k: int) -> int: + return ctree(n)[k] +@cache +def composition(n: int) -> list[int]: + if n == 0: + return [1] + cm = compomax(n) + return [cm[k] - cm[k - 1] if k > 0 else 0 for k in range(n + 1)] +@MakeTriangle(composition, "Composition", ["A048004"], True) +def Composition(n: int, k: int) -> int: + return composition(n)[k] +@cache +def compomax(n: int) -> list[int]: + @cache + def t(n: int, k: int) -> int: + if n == 0 or k == 1: + return 1 + return sum(t(n - j, k) for j in range(1, min(n, k) + 1)) + return [t(n, k) for k in range(n + 1)] +@MakeTriangle(compomax, "CompositionMax", ["A126198"], False) +def CompoMax(n: int, k: int) -> int: + return compomax(n)[k] +@cache +def delannoy(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [1, 1] + rov = delannoy(n - 2) + row = delannoy(n - 1) + [1] + for k in range(n - 1, 0, -1): + row[k] += row[k - 1] + rov[k - 1] + return row +@MakeTriangle(delannoy, "Delannoy", ["A008288"], True) +def Delannoy(n: int, k: int) -> int: + return delannoy(n)[k] +@cache +def divisibility(n: int) -> list[int]: + if n == 0: + return [1] + L = [0 for _ in range(n + 1)] + L[1] = L[n] = 1 + i = 1 + div = n + while i < div: + div, mod = divmod(n, i) + if mod == 0: + L[i] = L[div] = 1 + i += 1 + return L +@MakeTriangle(divisibility, "Divisibility", ["A113704", "A051731"], True) +def Divisibility(n: int, k: int) -> int: + return divisibility(n)[k] +@cache +def _euclid(n: int, k: int) -> int: + while k != 0: + t = k + k = n % k + n = t + return 1 if n == 1 else 0 +@cache +def euclid(n: int) -> list[int]: + return [_euclid(i, n) for i in range(n + 1)] +@MakeTriangle(euclid, "Euclid", ["A217831"], False) +def Euclid(n: int, k: int) -> int: + return euclid(n)[k] +@cache +def euler(n: int) -> list[int]: + if n == 0: + return [1] + row = euler(n - 1) + [1] + for k in range(n, 0, -1): + row[k] = (row[k - 1] * n) // (k) + row[0] = -sum((-1) ** (j // 2) * row[j] for j in range(n, 0, -2)) + return row +@MakeTriangle(euler, "Euler", ["A247453", "A109449"], True) +def Euler(n: int, k: int) -> int: + return euler(n)[k] +@cache +def eulerian(n: int) -> list[int]: + if n == 0: + return [1] + row = eulerian(n - 1) + [0] + for k in range(n, 0, -1): + row[k] = (n - k) * row[k - 1] + (k + 1) * row[k] + return row +@MakeTriangle(eulerian, "Eulerian", ["A173018", "A008292", "A123125"], False) +def Eulerian(n: int, k: int) -> int: + return eulerian(n)[k] +@cache +def eulerian2(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [0, 1] + row = eulerian2(n - 1) + [0] + for k in range(n, 1, -1): + row[k] = (2 * n - k) * row[k - 1] + k * row[k] + return row +@MakeTriangle( + eulerian2, "Eulerian2", ["A340556", "A008517", "A112007", "A163936"], False +) +def Eulerian2(n: int, k: int) -> int: + return eulerian2(n)[k] +@cache +def eulerianb(n: int) -> list[int]: + if n == 0: + return [1] + row = eulerianb(n - 1) + [1] + for k in range(n - 1, 0, -1): + row[k] = (2 * (n - k) + 1) * row[k - 1] + (2 * k + 1) * row[k] + return row +@MakeTriangle(eulerianb, "EulerianB", ["A060187", "A138076"], True) +def EulerianB(n: int, k: int) -> int: + return eulerianb(n)[k] +@cache +def eulersec(n: int) -> list[int]: + if n == 0: + return [1] + b = binomial(n) + row = [b[k] * eulersec(n - k)[0] if k > 0 else 0 for k in range(n + 1)] + if n % 2 == 0: + row[0] = -sum(row[2::2]) + return row +@MakeTriangle(eulersec, "EulerSec", ["A119879", "A081658", "A153641"], True) +def EulerSec(n: int, k: int) -> int: + return eulersec(n)[k] +def eulerS(n: int) -> int: + return 0 if n % 2 == 1 else eulersec(n)[0] +@cache +def eulertan(n: int) -> list[int]: + b = binomial(n) + row = [b[k] * eulertan(n - k)[0] if k > 0 else 0 for k in range(n + 1)] + if n % 2 == 1: + row[0] = -sum(row[2::2]) + 1 + return row +@MakeTriangle( + eulertan, "EulerTan", ["A162660", "A350972", "A155585", "A009006", "A000182"], False +) +def EulerTan(n: int, k: int) -> int: + return eulertan(n)[k] +def eulerT(n: int) -> int: + return 0 if n % 2 == 0 else eulertan(n)[0] +@cache +def fallingfactorial(n: int) -> list[int]: + if n == 0: + return [1] + r = fallingfactorial(n - 1) + row = [n * r[k] for k in range(-1, n)] + row[0] = 1 + return row +@MakeTriangle(fallingfactorial, "FallingFact", + ["A008279", "A068424", "A094587", "A173333", "A181511"], + False) +def FallingFactorial(n: int, k: int) -> int: + return fallingfactorial(n)[k] +@cache +def fibonacci(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [0, 1] + row = fibonacci(n - 1) + [1] + s = row[1] + for k in range(n - 1, 0, -1): + row[k] += row[k - 1] + row[0] = s + return row +@MakeTriangle(fibonacci, "Fibonacci", ["A354267", "A105809", "A228074"], False) +def Fibonacci(n: int, k: int) -> int: + return fibonacci(n)[k] +@cache +def fubini(n: int) -> list[int]: + if n == 0: + return [1] + def r(k: int) -> int: + return fubini(n - 1)[k] if k <= n - 1 else 0 + row = [0] + fubini(n - 1) + for k in range(1, n + 1): + row[k] = k * (r(k - 1) + r(k)) + return row +@MakeTriangle(fubini, "Fubini", ["A131689", "A019538", "A090582", "A278075"], False) +def Fubini(n: int, k: int) -> int: + return fubini(n)[k] +@cache +def fusscatalan(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [0, 1] + row = fusscatalan(n - 1) + [fusscatalan(n - 1)[n - 1]] + return list(accumulate(row)) +@MakeTriangle(fusscatalan, "FussCatalan", ["A355173", "A030237", "A054445"], False) +def FussCatalan(n: int, k: int) -> int: + return fusscatalan(n)[k] +@cache +def gaussq2(n: int) -> list[int]: + if n == 0: + return [1] + row = gaussq2(n - 1) + pow = [1] + gaussq2(n - 1) + p = 2 + for k in range(1, n): + pow[k] = row[k - 1] + p * row[k] + p *= 2 + return pow +@MakeTriangle(gaussq2, "Gaussq2", ["A022166"], True) +def Gaussq2(n: int, k: int) -> int: + return gaussq2(n)[k] +@cache +def genocchi(n: int) -> list[int]: + if n == 0: + return [1] + row: list[int] = [0] + genocchi(n - 1) + [0] + for k in range(n, 0, -1): + row[k] += row[k + 1] + for k in range(2, n + 2): + row[k] += row[k - 1] + return row[1:] +@MakeTriangle(genocchi, "Genocchi", ["A297703"], False) +def Genocchi(n: int, k: int) -> int: + return genocchi(n)[k] +@cache +def harmonic(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [0, 1] + row = harmonic(n - 1) + [1] + sav = row[1] + for k in range(n - 1, 0, -1): + row[k] = (n - 1) * row[k] + row[k - 1] + row[1] += sav + return row +@MakeTriangle(harmonic, "Harmonic", ["A358694", "A109822"], True) +def Harmonic(n: int, k: int) -> int: + return harmonic(n)[k] +@cache +def hermitee(n: int) -> list[int]: + row = [0] * (n + 1) + row[n] = 1 + for k in range(n - 2, -1, -2): + row[k] = (row[k + 2] * (k + 2) * (k + 1)) // (n - k) + return row +@MakeTriangle(hermitee, "HermiteE", ["A099174", "A066325", "A073278"], True) +def HermiteE(n: int, k: int) -> int: + return hermitee(n)[k] +@cache +def hermiteh(n: int) -> list[int]: + row = [0] * (n + 1) + row[n] = 2**n + for k in range(n - 2, -1, -2): + row[k] = (row[k + 2] * (k + 2) * (k + 1)) // (2 * (n - k)) + return row +@MakeTriangle(hermiteh, "HermiteH", ["A060821"], False) +def HermiteH(n: int, k: int) -> int: + return hermiteh(n)[k] +@cache +def labeledgraphs(n: int) -> list[int]: + if n == 0: + return [1] + s = [ + 2 ** (((k - n + 1) * (k - n)) // 2) + * Binomial(n - 1, k - 1) + * labeledgraphs(k)[k] + for k in range(1, n) + ] + b = 2 ** (((n - 1) * n) // 2) - sum(s) + return [0] + s + [b] +@MakeTriangle(labeledgraphs, "LabeledGraphs", ["A360603"], True) +def LabeledGraphs(n: int, k: int) -> int: + return labeledgraphs(n)[k] +@cache +def laguerre(n: int) -> list[int]: + if n == 0: + return [1] + row = [0] + laguerre(n - 1) + for k in range(0, n): + row[k] += (n + k) * row[k + 1] + return row +@MakeTriangle(laguerre, "Laguerre", ["A021009", "A021010", "A144084"], True) +def Laguerre(n: int, k: int) -> int: + return laguerre(n)[k] +@cache +def lah(n: int) -> list[int]: + if n == 0: + return [1] + row = lah(n - 1) + [1] + row[0] = 0 + for k in range(n - 1, 0, -1): + row[k] = row[k] * (n + k - 1) + row[k - 1] + return row +@MakeTriangle( + lah, "Lah", ["A271703", "A008297", "A066667", "A089231", "A105278", "A111596"], True +) +def Lah(n: int, k: int) -> int: + return lah(n)[k] +@cache +def t(n: int, k: int, m: int) -> int: + if k < 0 or n < 0: + return 0 + if k == 0: + return n**k + return m * t(n, k - 1, m) + t(n - 1, k, m + 1) +@cache +def lehmer(n: int) -> list[int]: + return [t(k - 1, n - k, n - k) if n != k else 1 for k in range(n + 1)] +@MakeTriangle(lehmer, "Lehmer", ["A354794", "A039621"], True) +def Lehmer(n: int, k: int) -> int: + return lehmer(n)[k] +@cache +def leibniz(n: int) -> list[int]: + if n == 0: + return [1] + row = leibniz(n - 1) + [n + 1] + row[0] = row[n] = n + 1 + for k in range(1, n): + row[k] = ((n - k + 1) * row[k - 1]) // k + return row +@MakeTriangle(leibniz, "Leibniz", ["A003506"], False) +def Leibniz(n: int, k: int) -> int: + return leibniz(n)[k] +@cache +def levin(n: int) -> list[int]: + if n == 0: + return [1] + row = levin(n - 1) + [1] + row[0] = row[n] = (row[n - 1] * (4 * n - 2)) // n + for k in range(1, n): + row[k] = ((n - k + 1) * row[k - 1]) // k + return row +@MakeTriangle(levin, "Levin", ["A356546"], False) +def Levin(n: int, k: int) -> int: + return levin(n)[k] +@cache +def lozanic(n: int) -> list[int]: + if n == 0: + return [1] + row = [1] + lozanic(n - 1) + for k in range(1, n): + row[k] += row[k + 1] + if n % 2 != 0: + return row + b = binomial(n // 2 - 1) + for k in range(1, n, 2): + row[k] -= b[(k - 1) // 2] + return row +@MakeTriangle(lozanic, "Lozanic", ["A034851"], True) +def Lozanic(n: int, k: int) -> int: + return lozanic(n)[k] +@cache +def moebius(n: int) -> int: + if n == 1: + return 1 + if n == 2: + return -1 + return -sum(moebius(k) for k, i in enumerate(divisibility(n)[: n - 1]) if i != 0) +@cache +def moebiusmat(n: int) -> list[int]: + if n == 0: + return [1] + r = [0 for _ in range(n + 1)] + r[n] = 1 + for k in range(1, n): + if n % k == 0: + r[k] = moebius(n // k) + return r +@MakeTriangle(moebiusmat, "MoebiusMat", ["A363914", "A054525"], True) +def MoebiusMat(n: int, k: int) -> int: + return moebiusmat(n)[k] +@cache +def motzkin(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [1, 0] + h = 0 if n % 2 else (motzkin(n - 2)[n - 2] * 2 * (n - 1)) // (n // 2 + 1) + row = motzkin(n - 1) + [h] + for k in range(2, n, 2): + row[k] = (n * row[k]) // (n - k) + return row +@MakeTriangle(motzkin, "Motzkin", ["A359364"], False) +def Motzkin(n: int, k: int) -> int: + return motzkin(n)[k] +@cache +def motzkingf(n: int) -> list[int]: + if n == 0: + return [1] + def r(k: int) -> int: + return motzkingf(n - 1)[k] if k >= 0 and k < n else 0 + row = motzkingf(n - 1) + [1] + for k in range(0, n): + row[k] += r(k - 1) + r(k + 1) + return row +@MakeTriangle(motzkingf, "MotzkinGF", ["A064189", "A026300", "A009766"], True) +def MotzkinGF(n: int, k: int) -> int: + return motzkingf(n)[k] +@cache +def narayana(n: int) -> list[int]: + if n < 3: + return [[1], [0, 1], [0, 1, 1]][n] + a = narayana(n - 2) + [0, 0] + row = narayana(n - 1) + [1] + for k in range(n - 1, 1, -1): + row[k] = ( + (row[k] + row[k - 1]) * (2 * n - 1) + - (a[k] - 2 * a[k - 1] + a[k - 2]) * (n - 2) + ) // (n + 1) + return row +@MakeTriangle(narayana, "Narayana", ["A090181", "A001263", "A131198"], True) +def Narayana(n: int, k: int) -> int: + return narayana(n)[k] +@cache +def naturals(n: int) -> list[int]: + R = range((n * (n + 1)) // 2, ((n + 1) * (n + 2)) // 2) + return [i + 1 for i in R] +@MakeTriangle(naturals, "Naturals", ['A000027', 'A001477'], True) +def Naturals(n: int, k: int) -> int: + return naturals(n)[k] +@cache +def nicomachus(n: int) -> list[int]: + if n == 0: + return [1] + row = nicomachus(n - 1) + [3 * nicomachus(n - 1)[n - 1]] + for k in range(0, n): + row[k] *= 2 + return row +@MakeTriangle(nicomachus, "Nicomachus", ["A036561", "A081954", "A175840"], False) +def Nicomachus(n: int, k: int) -> int: + return nicomachus(n)[k] +@cache +def one(n: int) -> list[int]: + if n == 0: + return [1] + return one(n - 1) + [1] +@MakeTriangle(one, "One", ["A000012", "A008836", "A014077"], True) +def One(n: int, k: int) -> int: + return one(n)[k] +@cache +def ordinals(n: int) -> list[int]: + if n == 0: + return [0] + return ordinals(n - 1) + [n] +@MakeTriangle( + ordinals, "Ordinals", ["A002262", "A002260", "A004736", "A025581"], False +) +def Ordinals(n: int, k: int) -> int: + return ordinals(n)[k] +@cache +def orderedcycle(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [0, 1] + row = orderedcycle(n - 1) + [0] + row[n] = row[n] * n + for k in range(n, 0, -1): + row[k] = (n - 1) * row[k] + k * row[k - 1] + return row +@MakeTriangle(orderedcycle, "OrderedCycle", ["A225479", "A048594", "A075181"], False) +def OrderedCycle(n: int, k: int) -> int: + return orderedcycle(n)[k] +@cache +def part(n: int, k: int) -> int: + if k < 0 or n < 0: + return 0 + if k == 0: + return 1 if n == 0 else 0 + return part(n - 1, k - 1) + part(n - k, k) +@cache +def partnumexact(n: int) -> list[int]: + return [part(n, k) for k in range(n + 1)] +@MakeTriangle(partnumexact, "Partition", ["A072233", "A008284", "A058398"], True) +def PartnumExact(n: int, k: int) -> int: + return partnumexact(n)[k] +@cache +def _pdist(n: int, k: int, r: int) -> int: + if n == 0: + return 1 if k == 0 else 0 + if k == 0 or r == 0: + return 0 + return sum(_pdist(n - r * j, k - 1, r - 1) for j in range(1, n // r + 1)) + _pdist(n, k, r - 1) +@cache +def partnumdist(n) -> list[int]: + return [_pdist(n, k, n) for k in range(n + 1)] +@MakeTriangle(partnumdist, "PartitionDist", ["A365676", "A116608", "A060177"], False) +def PartnumDist(n: int, k: int) -> int: + return partnumdist(n)[k] +@cache +def partnummax(n: int) -> list[int]: + return list(accumulate(partnumexact(n))) +@MakeTriangle(partnummax, "PartitionMax", ["A026820"], False) +def PartnumMax(n: int, k: int) -> int: + return partnummax(n)[k] +@cache +def polygonal(n: int) -> list[int]: + if n == 0: + return [0] + if n == 1: + return [0, 1] + rov = polygonal(n - 2) + row = polygonal(n - 1) + [n] + row[n - 1] += row[n - 2] + for k in range(2, n - 1): + row[k] += row[k] - rov[k] + return row +@MakeTriangle( + polygonal, "Polygonal", ["A139600", "A057145", "A134394", "A139601"], False +) +def Polygonal(n: int, k: int) -> int: + return polygonal(n)[k] +@cache +def powlaguerre(n: int) -> list[int]: + if n == 0: + return [1] + row = powlaguerre(n - 1) + [1] + row[0] = row[n] = row[0] * n + for k in range(1, n): + row[k] = ((n - k + 1) * row[k - 1]) // k + return row +@MakeTriangle(powlaguerre, "PowLaguerre", ["A196347", "A021012"], False) +def PowLaguerre(n: int, k: int) -> int: + return powlaguerre(n)[k] +@cache +def rencontres(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [0, 1] + row = [ + (n - 1) * (rencontres(n - 1)[0] + rencontres(n - 2)[0]) + ] + rencontres(n - 1) + for k in range(1, n - 1): + row[k] = (n * row[k]) // k + return row +@MakeTriangle(rencontres, "Rencontres", ["A008290", "A098825"], True) +def Rencontres(n: int, k: int) -> int: + return rencontres(n)[k] +@cache +def risingfactorial(n: int) -> list[int]: + if n == 0: + return [1] + row = [1 for _ in range(n + 1)] + row[1] = n + for k in range(1, n): + row[k + 1] = row[k] * (n + k) + return row +@MakeTriangle(risingfactorial, "RisingFact", ["A124320"], False) +def RisingFactorial(n: int, k: int) -> int: + return risingfactorial(n)[k] +@cache +def schroeder(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [0, 1] + row = schroeder(n - 1) + [1] + for k in range(n - 1, 0, -1): + row[k] += row[k - 1] + row[k + 1] + return row +@MakeTriangle( + schroeder, + "Schroeder", + ["A122538", "A033877", "A080245", "A080247", "A106579"], + True, +) +def Schroeder(n: int, k: int) -> int: + return schroeder(n)[k] +@cache +def schroederpaths(n: int) -> list[int]: + if n == 0: + return [1] + row = schroederpaths(n - 1) + [1] + for k in range(n, 0, -1): + row[k] = (row[k - 1] * (2 * n - k)) // k + row[0] = (row[0] * (4 * n - 2)) // n + return row +@MakeTriangle(schroederpaths, "SchroederP", ["A104684", "A063007"], True) +def SchroederPaths(n: int, k: int) -> int: + return schroederpaths(n)[k] +@cache +def schroederl(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [1, 1] + arow = schroederl(n - 1) + [0] + row = schroederl(n - 1) + [1] + row[0] = row[0] + 2 * row[1] + for k in range(1, n): + row[k] = arow[k - 1] + 3 * arow[k] + 2 * arow[k + 1] + return row +@MakeTriangle(schroederl, "SchroederL", ["A172094"], True) +def SchroederL(n: int, k: int) -> int: + return schroederl(n)[k] +@cache +def seidel(n: int) -> list[int]: + if n == 0: + return [1] + rowA = seidel(n - 1) + row = [0] + seidel(n - 1) + row[1] = row[n] + for k in range(2, n + 1): + row[k] = row[k - 1] + rowA[n - k] + return row +@MakeTriangle(seidel, "Seidel", ["A008281", "A008282", "A010094"], False) +def Seidel(n: int, k: int) -> int: + return seidel(n)[k] +def seidelboust(n: int) -> list[int]: + return seidel(n) if n % 2 else seidel(n)[::-1] +@MakeTriangle( + seidelboust, "SeidelBoust", ["A008280", "A108040", "A236935", "A239005"], False +) +def SeidelBoust(n: int, k: int) -> int: + return seidelboust(n)[k] +@cache +def sierpinski(n: int) -> list[int]: + return [int(not ~n & k) for k in range(n + 1)] +@MakeTriangle( + sierpinski, + "Sierpinski", + ["A047999", "A090971", "A114700", "A143200", "A166282"], + True, +) +def Sierpinski(n: int, k: int) -> int: + return sierpinski(n)[k] +@cache +def stirlingcycle(n: int) -> list[int]: + if n == 0: + return [1] + row = [0] + stirlingcycle(n - 1) + for k in range(1, n): + row[k] = row[k] + (n - 1) * row[k + 1] + return row +@MakeTriangle( + stirlingcycle, + "StirlingCyc", + ["A132393", "A008275", "A008276", "A048994", "A054654", "A094638", "A130534"], + True, +) +def StirlingCycle(n: int, k: int) -> int: + return stirlingcycle(n)[k] +@cache +def stirlingcycle2(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [0, 0] + rov = stirlingcycle2(n - 2) + row = stirlingcycle2(n - 1) + [0] + for k in range(1, n // 2 + 1): + row[k] = (n - 1) * (rov[k - 1] + row[k]) + return row +@MakeTriangle( + stirlingcycle2, "StirlingCyc2", ["A358622", "A008306", "A106828"], False +) +def StirlingCycle2(n: int, k: int) -> int: + return stirlingcycle2(n)[k] +@cache +def stirlingcycleb(n: int) -> list[int]: + if n == 0: + return [1] + row = stirlingcycleb(n - 1) + [1] + m = 2 * n - 1 + for k in range(n - 1, 0, -1): + row[k] = m * row[k] + row[k - 1] + row[0] *= m + return row +@MakeTriangle( + stirlingcycleb, "StirlingCycB", ["A028338", "A039757", "A039758", "A109692"], True +) +def StirlingCycleB(n: int, k: int) -> int: + return stirlingcycleb(n)[k] +@cache +def stirlingset(n: int) -> list[int]: + if n == 0: + return [1] + row = [0] + stirlingset(n - 1) + for k in range(1, n): + row[k] = row[k] + k * row[k + 1] + return row +@MakeTriangle( + stirlingset, + "StirlingSet", + [ + "A048993", + "A008277", + "A008278", + "A080417", + "A106800", + "A151511", + "A151512", + "A154959", + "A213735", + ], + True, +) +def StirlingSet(n: int, k: int) -> int: + return stirlingset(n)[k] +@cache +def stirlingset2(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [0, 0] + rov = stirlingset2(n - 2) + row = stirlingset2(n - 1) + [0] + for k in range(1, n // 2 + 1): + row[k] = (n - 1) * rov[k - 1] + k * row[k] + return row +@MakeTriangle(stirlingset2, "StirlingSet2", ["A358623", "A008299", "A137375"], False) +def StirlingSet2(n: int, k: int) -> int: + return stirlingset2(n)[k] +@cache +def stirlingsetb(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [1, 1] + pow = stirlingsetb(n - 1) + row = stirlingsetb(n - 1) + [1] + row[0] += 2 * row[1] + for k in range(1, n - 1): + row[k] = 2 * (k + 1) * pow[k + 1] + (2 * k + 1) * pow[k] + pow[k - 1] + row[n - 1] = (2 * n - 1) * pow[n - 1] + pow[n - 2] + return row +@MakeTriangle(stirlingsetb, "StirlingSetB", ["A154602"], True) +def StirlingSetB(n: int, k: int) -> int: + return stirlingsetb(n)[k] +@cache +def sylvester(n: int) -> list[int]: + def s(n: int, k: int) -> int: + return sum(Binomial(n, k - j) * StirlingCycle(n - k + j, j) for j in range(k + 1)) + return [s(n, k) for k in range(n + 1)] +@MakeTriangle(sylvester, "Sylvester", ["A341101"], False) +def Sylvester(n: int, k: int) -> int: + return sylvester(n)[k] +@cache +def sympoly(n: int) -> list[int]: + if n == 0: + return [1] + row = sympoly(n - 1) + [1] + for m in range(n - 1, 0, -1): + row[m] = (n - m + 1) * row[m] + row[m - 1] + row[0] *= n + return row +@MakeTriangle(sympoly, "SymPoly", ["A165675", "A093905", "A105954", "A165674"], True) +def SymPoly(n: int, k: int) -> int: + return sympoly(n)[k] +@cache +def ternarytree(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [0, 1] + row = ternarytree(n - 1) + [ternarytree(n - 1)[n - 1]] + return list(accumulate(accumulate(row))) +@MakeTriangle(ternarytree, "TernaryTrees", ["A355172"], False) +def TernaryTree(n: int, k: int) -> int: + return ternarytree(n)[k] +@cache +def wardset(n: int) -> list[int]: + if n == 0: + return [1] + if n == 1: + return [0, 1] + row = wardset(n - 1) + [0] + for k in range(n, 0, -1): + row[k] = k * row[k] + (n + k - 1) * row[k - 1] + return row +@MakeTriangle(wardset, "WardSet", ["A269939", "A134991"], False) +def WardSet(n: int, k: int) -> int: + return wardset(n)[k] +@cache +def worpitzky(n: int) -> list[int]: + if n == 0: + return [1] + row = worpitzky(n - 1) + [0] + for k in range(n, 0, -1): + row[k] = k * row[k - 1] + (k + 1) * row[k] + return row +@MakeTriangle( + worpitzky, + "Worpitzky", + ["A028246", "A053440", "A075263", "A130850", "A163626"], + False, +) +def Worpitzky(n: int, k: int) -> int: + return worpitzky(n)[k] +@cache +def zarankiewicz(n: int) -> list[int]: + def s(n: int): return (1 + n // 2) * (1 + (n + 1) // 2) + sn = s(n) + return [sn * s(k) for k in range(n + 1)] +@MakeTriangle( + zarankiewicz, + "Zarankiewicz", + ["A298368"], + False, +) +def Zarankiewicz(n: int, k: int) -> int: + return zarankiewicz(n)[k] +def bell_num(n: int) -> int: + if n == 0: + return 1 + return bell(n - 1)[-1] +def Bernoulli(n: int) -> frac: + if n < 2: + return frac(1, n + 1) + if n % 2 == 1: + return frac(0, 1) + g = genocchi(n // 2 - 1)[-1] + f = frac(g, 2 ** (n + 1) - 2) + return -f if n % 4 == 0 else f +def euler_num(n: int) -> int: + return euler(n)[0] +@cache +def eulerphi(n: int) -> int: + return sum(k * moebiusmat(n)[k] for k in range(n + 1)) +def motzkin_num(n: int) -> int: + return sum(motzkin(n)) +def partlist_num(n: int) -> int: + return sum(lah(n)) +def part_num(n: int) -> int: + return sum(partnumexact(n)) +def riordan_num(n: int) -> int: + return sum((-1) ** (n - k) * BinomialCatalan(n, k) for k in range(n + 1)) +tabl_fun: list[tgen] = [ + Abel, + Baxter, + Bell, + Bessel, + Bessel2, + BinaryPell, + Binomial, + BinomialBell, + BinomialCatalan, + BinomialMinus, + Catalan, + CatalanAer, + CatalanSqr, + CentralCycle, + CentralSet, + ChebyshevS, + ChebyshevT, + ChebyshevU, + Composition, + CompoMax, + Ctree, + Delannoy, + Divisibility, + Euclid, + Euler, + Eulerian, + Eulerian2, + EulerianB, + EulerSec, + EulerTan, + FallingFactorial, + Fibonacci, + Fubini, + FussCatalan, + Gaussq2, + Genocchi, + Harmonic, + HermiteE, + HermiteH, + LabeledGraphs, + Laguerre, + Lah, + Lehmer, + Leibniz, + Levin, + Lozanic, + MoebiusMat, + Motzkin, + MotzkinGF, + Narayana, + Naturals, + Nicomachus, + One, + Ordinals, + OrderedCycle, + PartnumExact, + PartnumDist, + PartnumMax, + Polygonal, + PowLaguerre, + Rencontres, + RisingFactorial, + Schroeder, + SchroederL, + SchroederPaths, + Seidel, + SeidelBoust, + Sierpinski, + StirlingCycle, + StirlingCycle2, + StirlingCycleB, + StirlingSet, + StirlingSet2, + StirlingSetB, + Sylvester, + SymPoly, + TernaryTree, + WardSet, + Worpitzky, + Zarankiewicz, +] +readme_header = """ +*** La sélection du Chef *** +INTEGER SEQUENCES ARE ONLY THE SHADOWS OF INTEGER TRIANGLES +Python implementations of integer sequences dubbed tabl in the OEIS. +The notebook gives a first introduction for the user. +""" +def CrossReferences(name: str = "README.md") -> None: + """ + Writes the crossreferences as a md-table to the root. + Args: + name (str, optional): The name of the file to write the crossreferences to. Defaults to "README.md". + """ + path = GetRoot(name) + with open(path, "w+", encoding='utf-8') as xrefs: + xrefs.write(readme_header) + xrefs.write("| Table | Source | Traits | OEIS similars |\n") + xrefs.write("| :--- | :--- | :--- | :--- |\n") + for fun in tabl_fun: + id = fun.id + similars = fun.sim + anum = "" + s = str(similars).replace("[", "").replace("]", "").replace("'", "") + for sim in similars: + anum += "%7Cid%3A" + sim + xrefs.write(f"| [{id}](https://github.com/PeterLuschny/tabl/blob/main/data/md/{id}.tbl.md) | [source](https://github.com/PeterLuschny/tabl/blob/main/src/{id}.py) | [traits](https://luschny.de/math/oeis/{id}.html) | [{s}](https://oeis.org/search?q={anum}) |\n") + print("Info: 'README.md' written to the root folder.") +def SaveExtendedTables(dim: int = 10) -> None: + """ + Saves the extended tables to the data/md folder. + Args: + dim (int, optional): The dimension of the tables. Defaults to 10. + """ + tim: int = dim + dim + for fun in tabl_fun: + tablpath = GetDataPath(fun.id + '.tbl', 'md') + with open(tablpath, "w+", encoding="utf-8") as dest: + with contextlib.redirect_stdout(dest): + PrintViews(fun, dim) + V = InvTable(fun, tim) + if V is not None: + PrintViews(V, dim) + r = RevTable(fun, tim) + PrintViews(r, dim) + r = RevInvTable(fun, tim) + if r is not None: + PrintViews(r, dim) + r = InvRevTable(fun, tim) + if r is not None: + PrintViews(r, dim) + print("Info: Extended tables written to the data/md folder as 'name.tbl.md'.") +Header = [ + "", + "", + "", +] +CSS = [ + "", +] +Table = [ + "", + "", + "", + "", + "", + "", +] +SCRIPT = [ + "\n\n" "

 

", +] +Footer = ("

" + "Note: The A-numbers are based on a finite number of numerical comparisons. " + "The B-numbers are A-numbers of sligthly different variants. They ignore the sign " + "and the OEIS-offset and might differ in the first few values. Since the offset " + "of all triangles is 0 also the offset of all sequences is 0.

") +def HtmlTriangle(fun: tgen) -> str: + s = "" + for n in range(6): + s += f"[{n}] " + str(fun.gen(n)).replace("[", "").replace("]", "") + "
" + return s +funnames = [fun.id for fun in tabl_fun] +def getprevnext(funname: list[str]) -> tuple[str, str]: + idx = funnames.index(funname) + prev = idx - 1 + succ = idx + 1 + if idx == 0: + prev = len(tabl_fun) - 1 + if idx == len(tabl_fun) - 1: + succ = 0 + return (funnames[prev], funnames[succ]) +def navbar(fun: tgen) -> list[str]: + anums = "" + for s in fun.sim: + anums += "%7Cid%3A" + s + prevnext = getprevnext(fun.id) + rc = "style='border-radius: 15px; background: #73AD21; color: white; padding: 6px; width: 108px; height: 20px; font-weight: 700; text-align: center; margin-left: 8px; margin-right: 8px;'" + NAVBAR = ["
↕ Type↕ Trait↕ Anum↕ Sequence
"] + NAVBAR.append( + f"" + ) + NAVBAR.append( + f"" + ) + NAVBAR.append( + f"" + ) + NAVBAR.append( + f"" + ) + NAVBAR.append( + f"" + ) + NAVBAR.append( + f"" + ) + NAVBAR.append("
 << TableSourceSimilarsIndex >> 
") + return NAVBAR +def CsvToHtml(fun: tgen) -> None: + """ + Converts a CSV file to an HTML file. + Args: + fun (tgen): The generator object of the triangle. + Returns: + None + """ + name = fun.id + csvfile = GetDataPath(name, "csv") + outfile = GetDataPath(name, "html") + FORMULA = Formulas() + with open(csvfile, "r", encoding="utf-8") as csvfile: + reader = csv.reader(csvfile) + with open(outfile, "w+", encoding="utf-8") as outfile: + for h in Header: + outfile.write(h) + outfile.write(f"{name} : IntegerTriangles.py") + for h in CSS: + outfile.write(h) + h = next(reader) # column names + sim = str(fun.sim).replace("'", "").replace("[", "").replace("]", "") + outfile.write( + "
" + ) + outfile.write( + f"{name.upper()}{HtmlTriangle(fun)}
" + ) + outfile.write( + f"

      OEIS Similars: {sim}\n

" + ) + for h in Table: + outfile.write(h) + for line in reader: + # Layout: index,triangle,trait,anum,seq + # 0,Abel:Std,Triangle,A137452,1 0 1 0 ... + # index = line[0] + h = line[1] + type = h[h.index(":") + 1:] + trait = line[2] + anum = line[3] + seq = line[4] + outfile.write(f"{type}") + tip = FORMULA[trait] + outfile.write( + f"{trait}{tip}" + ) + sseq = (seq.split(" ", 3)[3]).replace(" ", ",") + if anum == "missing": + color = "rgb(0, 0, 0)" + url = f"https://oeis.org/search?q={sseq}" + outfile.write( + f"missing" + ) + elif anum[0] == 'B': + Anum = 'A' + anum[1:] + color = "rgb(0, 0, 255)" + url = f"https://oeis.org/search?q={sseq}" + outfile.write( + f"{anum}" + ) + else: + color = "rgb(127, 0, 255)" + outfile.write( + f"{anum}" + ) + # seq + outfile.write( + f"{seq}" + ) + outfile.write("") + for h in navbar(fun): + outfile.write(h) + outfile.write(Footer) + for h in SCRIPT: + outfile.write(h) +def AllCsvToHtml() -> None: + for fun in tabl_fun: + print(f"Info: Generating data/html/{fun.id}.html.") + CsvToHtml(fun) +def is_tabletrait(f: Callable): + """ + Traits come in two flavors: + (a) The 'table' type: Callable[[tabl], trow]]: + (b) The 'generic' type: Callable[[rgen, int], trow]] + To diffenrentiate use the function 'is_tabletrait(f)' + that returns 'True' if 'f' is of table-type. +""" + sig = signature(f) + ann = list(sig.parameters.values())[0].annotation + return ann == list[list[int]] +def RegisterTraits() -> dict[str, Callable]: + TRAITS: dict[str, Callable] = {} + def RegisterTrait(f: Callable): + TRAITS[f.__name__] = f + # TYPE: Callable[[tabl], trow]]: + RegisterTrait(Triangle) # is flat; must always come first! + RegisterTrait(Rev) + RegisterTrait(Inv) + RegisterTrait(RevInv) + RegisterTrait(InvRev) + RegisterTrait(Acc) + # RegisterTrait(RevAcc) # rarely found + RegisterTrait(AccRev) + RegisterTrait(AntiDiag) + RegisterTrait(Diffx1) + RegisterTrait(RowSum) + RegisterTrait(EvenSum) + RegisterTrait(OddSum) + RegisterTrait(AltSum) + RegisterTrait(DiagSum) + RegisterTrait(AccSum) + RegisterTrait(AccRevSum) + RegisterTrait(RowLcm) + RegisterTrait(RowGcd) + RegisterTrait(RowMax) + RegisterTrait(ColMiddle) + RegisterTrait(CentralE) + RegisterTrait(CentralO) + RegisterTrait(ColLeft) + RegisterTrait(ColRight) + RegisterTrait(BinConv) + RegisterTrait(InvBinConv) + RegisterTrait(TransNat0) + RegisterTrait(TransNat1) + RegisterTrait(TransSqrs) + RegisterTrait(PosHalf) + RegisterTrait(NegHalf) + # TYPE Callable[[rgen, int], trow]] + # RegisterTrait(DiagRow0) same as ColRight + RegisterTrait(DiagRow1) + RegisterTrait(DiagRow2) + RegisterTrait(DiagRow3) + # RegisterTrait(DiagCol0) same as ColLeft + RegisterTrait(DiagCol1) + RegisterTrait(DiagCol2) + RegisterTrait(DiagCol3) + RegisterTrait(Poly) + # RegisterTrait(PolyRow0) + RegisterTrait(PolyRow1) + RegisterTrait(PolyRow2) + RegisterTrait(PolyRow3) + # RegisterTrait(PolyCol0) same as ColLeft + # RegisterTrait(PolyCol1) same as RowSum + RegisterTrait(PolyCol2) + RegisterTrait(PolyCol3) + RegisterTrait(PolyDiag) + return TRAITS +def Formulas() -> dict[str, str]: + FORMULA: dict[str, str] = {} + FORMULA["Triangle"] = "T(n, k), 0 ≤ k ≤ n" + FORMULA["Rev"] = "T(n, n - k), 0 ≤ k ≤ n" + FORMULA["Inv"] = "T-1(n, k), 0 ≤ k ≤ n" + FORMULA["RevInv"] = "T-1(n, n - k), 0 ≤ k ≤ n" + FORMULA["InvRev"] = "(T(n, n - k))-1, 0 ≤ k ≤ n" + FORMULA["Acc"] = "see docs" + FORMULA["RevAcc"] = "see docs" + FORMULA["AccRev"] = "see docs" + FORMULA["AntiDiag"] = "see docs" + FORMULA["Diffx1"] = "T(n, k) (k+1)" + FORMULA["RowSum"] = "∑ k=0..n T(n, k)" + FORMULA["EvenSum"] = "∑ k=0..n T(n, k) even(k)" + FORMULA["OddSum"] = "∑ k=0..n T(n, k) odd(k)" + FORMULA["AltSum"] = "∑ k=0..n T(n, k) (-1)^k" + FORMULA["DiagSum"] = "∑ k=0..n // 2 T(n - k, k)" + FORMULA["AccSum"] = "∑ k=0..n ∑ j=0..k T(n, j)" + FORMULA[ + "AccRevSum" + ] = "∑ k=0..n ∑ j=0..k T(n, n - j)" + FORMULA["RowLcm"] = "Lcm k=0..n | T(n, k) | > 1" + FORMULA["RowGcd"] = "Gcd k=0..n | T(n, k) | > 1" + FORMULA["RowMax"] = "Max k=0..n | T(n, k) |" + FORMULA["ColMiddle"] = "T(n, n // 2)" + FORMULA["CentralE"] = "T(2 n, n)" + FORMULA["CentralO"] = "T(2 n + 1, n)" + FORMULA["ColLeft"] = "T(n, 0)" + FORMULA["ColRight"] = "T(n, n)" + FORMULA["BinConv"] = "∑ k=0..n C(n, k) T(n, k)" + FORMULA["InvBinConv"] = "∑ k=0..n C(n, k) T(n, n - k) (-1)^k" + FORMULA["TransSqrs"] = "∑ k=0..n T(n, k) k^2" + FORMULA["TransNat0"] = "∑ k=0..n T(n, k) k" + FORMULA["TransNat1"] = "∑ k=0..n T(n, k) (k + 1)" + FORMULA["DiagRow1"] = "T(n + 1, n)" + FORMULA["DiagRow2"] = "T(n + 2, n)" + FORMULA["DiagRow3"] = "T(n + 3, n)" + FORMULA["DiagCol1"] = "T(n + 1, 1)" + FORMULA["DiagCol2"] = "T(n + 2, 2)" + FORMULA["DiagCol3"] = "T(n + 3, 3)" + FORMULA["Poly"] = "see docs" + FORMULA["PolyRow1"] = "∑ k=0..1 T(1, k) n^k" + FORMULA["PolyRow2"] = "∑ k=0..2 T(2, k) n^k" + FORMULA["PolyRow3"] = "∑ k=0..3 T(3, k) n^k" + FORMULA["PolyCol2"] = "∑ k=0..n T(n, k) 2^k" + FORMULA["PolyCol3"] = "∑ k=0..n T(n, k) 3^k" + FORMULA["PolyDiag"] = "∑ k=0..n T(n, k) n^k" + FORMULA["PosHalf"] = "∑ k=0..n 2^n T(n, k) (1/2)^k" + FORMULA["NegHalf"] = "∑ k=0..n (-2)^n T(n, k) (-1/2)^k" + return FORMULA +def isInOEIS(seq: list[int]) -> bool: + """ + Check if a given sequence is present in the OEIS (Online Encyclopedia of Integer Sequences). + The search uses seq[3:] with max string length 160. + Args: + seq (list[int]): The sequence to check. + Returns: + bool: True if the sequence is found in the OEIS, False otherwise. + Raises: + Exception: If the OEIS server cannot be reached after multiple attempts. + """ + strseq = SeqString(seq, 160, 3) + url = f"https://oeis.org/search?q={strseq}&fmt=json" + for _ in range(3): + time.sleep(0.5) # give the OEIS server some time to relax + try: + with urllib.request.urlopen(url) as response: + page = response.read() + return -1 == page.find(b'"count": 0') + except urllib.error.HTTPError as he: + print(he.__dict__) + except urllib.error.URLError as ue: + print(ue.__dict__) + raise Exception(f"Could not open {url}.") +def IsInOEIS(seq: list[int]) -> str: + """ + Check if a given sequence is present in the OEIS (Online Encyclopedia of Integer Sequences). + The search uses seq[3:] with max string length 160. + Args: + seq (list[int]): The sequence to check. + Returns: + str: The A-number of the sequence if found in OEIS, otherwise an empty string. + Raises: + Exception: If the OEIS server cannot be reached after multiple attempts. + """ + strseq = SeqString(seq, 160, 3) + url = f"https://oeis.org/search?q={strseq}&fmt=json" + for _ in range(3): + time.sleep(0.5) # give the OEIS server some time to relax + try: + jdata = get(url, timeout=10).json() + anumber = "" + if jdata["count"] > 0: + number = jdata["results"][0]["number"] + anumber = f"B{(6 - len(str(number))) * '0' + str(number)}" + return anumber + except requests.exceptions.RequestException as e: + print(f"Error: {e}") + raise Exception(f"Could not open {url}.") +def fnv(data: bytes) -> int: + """ + This function calculates the FNV-1a hash value for the given data. + Args: + data (bytes): The input data to be hashed. + Returns: + int: The calculated hash value. + """ + # assert isinstance(data, bytes) + hval = 0xCBF29CE484222325 + for byte in data: + hval ^= byte + hval *= 0x100000001B3 + hval &= 0xFFFFFFFFFFFFFFFF + return hval +MINTERMS = 15 +def FNVhash(seq: list[int], absolut: bool = False) -> str: + """Returns the fnv-hash of an integer sequence based on the first MINTERMS terms. + Args: + seq (list[int]): + absolut (bool, optional): Take the absolute value of the terms? Defaults to False. + Returns: + str: The hex value of the hash without the '0x'-head. + """ + if len(seq) < MINTERMS: + print(f"*** Warning *** Hash based only on {len(seq)} terms, {MINTERMS} required.") + if seq == []: + return "0" + if absolut: + s = str([abs(i) for i in seq[0:MINTERMS]]) + else: + s = str(seq[0:MINTERMS]) + x = s.translate(str.maketrans("", "", "[],")) + return hex(fnv(bytes(x, encoding="ascii")))[2:] +def GetCompressed() -> None: + """ + Downloads the stripped file from OEIS, extracts the CSV data, and saves it to a file. + Raises: + requests.exceptions.RequestException: If there is an error downloading the stripped file. + IOError: If there is an error extracting the OEIS data. + Exception: If any other error occurs. + """ + # Download the stripped file + print("Downloading OEIS stripped file...") + oeisstripped = "https://oeis.org/stripped.gz" + r = requests.get(oeisstripped, stream=True, timeout=10) + r.raise_for_status() + csvpath = GetDataPath("oeis", "csv") + # Save the stripped file + with open(strippedpath, "wb") as local: + for chunk in r.iter_content(chunk_size=8192): + if chunk: + local.write(chunk) + # Extract the CSV file from the stripped file + with gzip.open(strippedpath, "rb") as gz: + with open(csvpath, "wb") as da: + da.write(gz.read()) + print(f"OEIS data saved as {csvpath}.") +def MakeOeisminiWithFnv() -> None: + """ + This function reads data from a CSV file containing OEIS sequences, + processes the data, and saves the hashed sequences into a SQLite database. + Make all terms absolute, take MINTERMS terms, add fnv. + """ + with open(GetDataPath("oeis", "csv"), "r") as oeisdata: + reader = csv.reader(oeisdata) + with open(GetDataPath("oeismini", "csv"), "w") as minidata: + # A000003 ,1 + seq_list = [ + [txt[0][0:7], [abs(int(s)) for s in txt[1:-1]]] for txt in reader + ] + for s in seq_list: + if len(s[1]) < MINTERMS: + continue + x = str(s[1][0:MINTERMS]).translate(str.maketrans("", "", "[],")) + f = hex(fnv(bytes(x, encoding="ascii")))[2:] + minidata.write(f + "," + s[0] + "," + x + ",\n") + print("Info: Hashed OEIS-data saved as oeismini.csv in data/csv.") +def OeisToSql() -> None: + """ + This function reads data from a CSV file containing OEIS sequences, + processes the data, and inserts it into a SQLite database. + The function performs the following steps: + 1. Connects to the SQLite database. + 2. Creates a table named 'sequences' if it doesn't already exist. + 3. Reads the data from the CSV file. + 4. Processes the data by making all terms absolute and taking MINTERMS terms. + 5. Calculates the FNV hash for each sequence. + 6. Inserts the (fnv, anum, seq) values into the 'sequences' table. + Note: The function assumes the existence of the 'GetDataPath' function, + which returns the path to the data files. + Raises: + Exception: If there is an error during the execution of the function. + """ + tabl = sqlite3.connect(GetDataPath("oeismini", "db")) + cur = tabl.cursor() + sql = "CREATE TABLE sequences(hash, anum, seq)" + cur.execute(sql) + with open(GetDataPath("oeis", "csv"), "r") as oeisdata: + reader = csv.reader(oeisdata) + seq_list = [[txt[0][0:7], [abs(int(s)) for s in txt[1:-1]]] for txt in reader] + for s in seq_list: + if len(s[1]) < MINTERMS: + continue + x = str(s[1][0:MINTERMS]).translate(str.maketrans("", "", "[],")) + f = hex(fnv(bytes(x, encoding="ascii")))[2:] + tup = (f, s[0], x) + sql = "INSERT INTO sequences VALUES(?, ?, ?)" + cur.execute(sql, tup) + tabl.commit() + tabl.close() + print("Info: Database oeismini.db saved in data/db.") +def QueryDBbyHash(H: str, db_cur: sqlite3.Cursor) -> str: + """ + Query the sequences table in the local database for a given hash. + Args: + H (str): The hash value to query. + oeis_cur (sqlite3.Cursor): The cursor object for executing SQL queries. + Returns: + str: The corresponding anum value if the hash is found, otherwise "missing". + """ + sql = "SELECT anum FROM sequences WHERE hash=? LIMIT 1" + res = db_cur.execute(sql, (H,)) + record = res.fetchone() + return "missing" if record is None else record[0] +def QueryDBbySeq(seq: list[int], db_cur: sqlite3.Cursor) -> str: + """ + Query the sequences table in the database for a given sequence. + Args: + seq (list[int]): The sequence to query. + oeis_cur (sqlite3.Cursor): The cursor object for executing SQL queries. + Returns: + str: The corresponding anum value if the sequence is found, otherwise "missing". + """ + x = str([abs(int(s)) for s in seq[0:MINTERMS]]).translate( + str.maketrans("", "", "[],") + ) + sql = "SELECT anum FROM sequences WHERE seq=? LIMIT 1" + res = db_cur.execute(sql, (x,)) + record = res.fetchone() + return "missing" if record is None else record[0] +def QueryDBbyHashAndSeq(H: str, seq: list[int], db_cur: sqlite3.Cursor) -> str: + """ + Query oeis_mini db only. + Args: + H (str): The hash value to query. + seq (list[int]): The sequence to query. + oeis_cur (sqlite3.Cursor): The cursor object for executing SQL queries. + Returns: + str: The corresponding anum value if the sequence is found, otherwise "missing". + """ + sql = "SELECT anum FROM sequences WHERE hash=? LIMIT 1" + res = db_cur.execute(sql, (H,)) + record = res.fetchone() + if record is not None: + return record[0] + # not found by hash, perhaps shifted by one? + H = FNVhash(seq[1: MINTERMS + 1], True) + res = db_cur.execute(sql, (H,)) + record = res.fetchone() + return "missing" if record is None else record[0] +def QueryOeis(H: str, seq: list[int], db_cur: sqlite3.Cursor) -> str: + """ + First query oeis_mini (local), if nothing found query OEIS (internet). + Args: + H (str): The hash value to query. + seq (list[int]): The sequence to query. + oeis_cur (sqlite3.Cursor): The cursor object for executing SQL queries. + Returns: + str: The corresponding anum value if the sequence is found, otherwise "missing". + """ + rec = QueryDBbyHashAndSeq(H, seq, db_cur) + if rec != "missing": + return rec + bnum = IsInOEIS(seq) + if bnum == "": + return "missing" + return bnum +def GetType(name: str) -> str: + """ + There are 7 types: + ["", "Std", "Rev", "Inv", "Rev:Inv", "Inv:Rev", "Alt"] + """ + sp = name.split(":", 1) + if len(sp) == 1: + return "" + return name.split(":", 1)[1] +def CreateTable(name: str) -> str: + return f"CREATE TABLE {name}(triangle, type, trait, anum, hash, seq)" +def InsertTable(name: str) -> str: + return f"INSERT INTO {name} VALUES(?, ?, ?, ?, ?, ?)" +def GetMaxStrLen() -> int: + return 100 +def SaveTraits(fun: tgen, size: int, traits_cur: sqlite3.Cursor, oeis_cur: sqlite3.Cursor, table: str, TRAITS: dict) -> None: + """Saves traits data to a database table. + This function saves traits data to a specified database table. It uses the provided + triangle generator `g` and size `size` to generate the traits data. The traits data is then + stored in the `traits_cur` cursor object. The `oeis_cur` cursor object is used to + query the OEIS (Online Encyclopedia of Integer Sequences) for additional information + about the traits data. The `table` parameter specifies the name of the database table + to store the traits data. The `TRAITS` dictionary contains the traits to be saved. + Args: + fun (tgen): The generator used to generate the traits data. + size (int): The size of the traits data. + traits_cur (sqlite3.Cursor): The cursor object for the traits table. + oeis_cur (sqlite3.Cursor): The cursor object for the OEIS table. + table (str): The name of the database table to store the traits data. + TRAITS (dict): A dictionary containing the traits to be saved. + Returns: + None + """ + T = fun.tab(size) + r = fun.gen + triname = fun.id + trityp = GetType(triname) + for traitname, trait in TRAITS.items(): + if trityp == traitname: + continue + seq = trait(T) if is_tabletrait(trait) else trait(r, size) + if seq == []: + print(f"Info: {triname} -> {traitname} does not exist.") + continue + fnvhash = FNVhash(seq, True) + # anum = queryminioeis(hash, seq, oeis_cur) # local + anum = QueryOeis(fnvhash, seq, oeis_cur) # with internet + seqstr = "" + maxl = 0 + for trm in seq: + s = str(trm) + " " + maxl += len(s) + if maxl > GetMaxStrLen(): + break + seqstr += s + tup = (triname, trityp, traitname, anum, fnvhash, seqstr) + sql = InsertTable(table) + traits_cur.execute(sql, tup) +def SaveExtendedTraitsToDB(fun: tgen, size: int, traits_cur: sqlite3.Cursor, oeis_cur: sqlite3.Cursor, table: str) -> None: + """ + Saves the extended traits of a triangle to a SQLite database. + Args: + fun (tgen): The triangle whose extended traits are to be saved. + size (int): The size of the triangle. + traits_cur (sqlite3.Cursor): The cursor for the traits database. + oeis_cur (sqlite3.Cursor): The cursor for the OEIS database. + table (str): The name of the triangle. + Raises: + Exception: If there is an error while saving the extended traits to the database. + Returns: + None + """ + tim: int = size + size // 2 + Tid = fun.id + fun.id = fun.id + ":Std" + TRAITS = RegisterTraits() + thash = FNVhash(fun.tab(MINTERMS)) + SaveTraits(fun, size, traits_cur, oeis_cur, table, TRAITS) + fun.id = Tid + a = AltTable(fun, tim) + SaveTraits(a, size, traits_cur, oeis_cur, table, TRAITS) + r = RevTable(fun, tim) + rhash = FNVhash(r.tab(MINTERMS)) + if thash != rhash: + SaveTraits(r, size, traits_cur, oeis_cur, table, TRAITS) + # ir = InvRevTable(t, tim) + ir = InvTable(r, tim) + if ir is not None: + SaveTraits(ir, size, traits_cur, oeis_cur, table, TRAITS) + i = InvTable(fun, tim) + ihash = "0" + if i is not None: + ihash = FNVhash(i.tab(MINTERMS)) + SaveTraits(i, size, traits_cur, oeis_cur, table, TRAITS) + # ri = RevInvTable(t, tim) + ri = RevTable(i, tim) + if ri is not None: + rihash = FNVhash(ri.tab(MINTERMS)) + if ihash != rihash: + SaveTraits(ri, size, traits_cur, oeis_cur, table, TRAITS) +def SaveTraitsToDB(fun: tgen) -> None: + """ + Saves the traits of a triangle to a SQLite database. + Args: + fun (tgen): The triangle whose traits are to be saved. + Raises: + Exception: If there is an error while saving the traits to the database. + Returns: + None + """ + name = fun.id + with sqlite3.connect(GetDataPath(name, "db")) as db: + traits_cur = db.cursor() + traits_cur.execute(CreateTable(name)) + with sqlite3.connect(GetDataPath("oeismini", "db")) as oeis: + oeis_cur = oeis.cursor() + SaveExtendedTraitsToDB(fun, 32, traits_cur, oeis_cur, name) + db.commit() + print(f"Info: Created database {name}.db in data/db.") +def ConvertLocalDBtoCSVandMD() -> None: + """ + This function converts the data from the SQLite database into CSV and Markdown formats. + The function performs the following steps: + 1. Connects to the SQLite database. + 2. Retrieves all the data from the 'sequences' table. + 3. Writes the data into a CSV file. + 4. Generates a Markdown table from the data and writes it into a Markdown file. + Note: The function assumes the existence of the 'GetDataPath' function, + which returns the path to the data files. + Raises: + Exception: If there is an error during the execution of the function. + """ + try: + # Connect to the database + with sqlite3.connect(GetDataPath("oeismini", "db")) as conn: + cur = conn.cursor() + # Retrieve all data from the 'sequences' table + cur.execute("SELECT * FROM sequences") + data = cur.fetchall() + # Write the data into a CSV file + csvpath = GetDataPath("oeismini", "csv") + with open(csvpath, "w", newline="") as csvfile: + writer = csv.writer(csvfile) + writer.writerow(["hash", "anum", "seq"]) + writer.writerows(data) + # Generate a Markdown table from the data + mdpath = GetDataPath("oeismini", "md") + with open(mdpath, "w") as mdfile: + mdfile.write("| hash | anum | seq |\n") + mdfile.write("|------|------|-----|\n") + for row in data: + mdfile.write(f"| {row[0]} | {row[1]} | {row[2]} |\n") + print(f"Converted database to CSV ({csvpath}) and Markdown ({mdpath}).") + except Exception as e: + print(f"Error: {str(e)}") +def ConvertDBtoCSVandMD(dbpath: Path, funname: str) -> int: + """ + Converts a SQLite database to CSV and Markdown files. + We exclude cases 'A000012', 'A000007', and 'A000004', which are trivial. + Args: + dbpath (str): The path to the SQLite database. + funname (str): The name of the triangle. + Returns: + int: The size of the converted table. + Raises: + Exception: If there is an error converting the database. + """ + size = 0 + with sqlite3.connect(dbpath) as db: + cursor = db.cursor() + sql = "SELECT name FROM sqlite_master WHERE type='table';" + cursor.execute(sql) + tables = cursor.fetchall() + for table_name in tables: + table_name = table_name[0] + sql = f"""SELECT triangle, trait, anum, seq + FROM {table_name} + WHERE anum != 'A000012' + AND anum != 'A000007' + AND anum != 'A000004' """ + table = pd.read_sql_query(sql, db) + csv_path = GetDataPath(table_name, "csv") + md_path = GetDataPath(table_name, "md") + table.to_csv(csv_path, index_label="index") + table.to_markdown(md_path) + size = table.size // 4 + cursor.close() + print(f"Info: Created data/csv/{funname}.csv and data/md/{funname}.md.") + return size +def SaveAllTraitsToDBandCSVandMD(tabl_fun: list[tgen]) -> None: + """ + Saves all traits to a database, CSV, and Markdown file. + This function iterates over a list of tabl_fun objects and performs the following actions for each object: + 1. Saves the traits to a database using the SaveTraitsToDB function. + 2. Converts the database file to CSV and Markdown formats using the ConvertDBtoCSVandMD function. + Args: + tabl_fun (list[tgen]): A list of tabl_fun objects. + Returns: + None + """ + for fun in tabl_fun: + SaveTraitsToDB(fun) + ConvertDBtoCSVandMD(GetDataPath(fun.id, "db"), fun.id) + return +def MergeAllDBs(tablfun: list[tgen]): + """ + Merge all SQLite databases into a single database. + Args: + tablfun (list[tgen]): List of triangles. + Raises: + Exception: If there is an error during the merging process. + """ + destname = "traits" + destpath = GetDataPath(destname, "db") + with sqlite3.connect(destpath) as dest: + dest_cursor = dest.cursor() + dest_cursor.execute(CreateTable(destname)) + for src in tablfun: + srcpath = GetDataPath(src.id, "db") + with sqlite3.connect(srcpath) as src: + src_cursor = src.cursor() + sql = "SELECT name FROM sqlite_master WHERE type='table';" + src_cursor.execute(sql) + tables = src_cursor.fetchall() + for table_name in tables: + table_name = table_name[0] + print(table_name) + sql = f"SELECT * FROM {table_name}" + res = src_cursor.execute(sql) + trs = res.fetchall() + sql = InsertTable(destname) + dest_cursor.executemany(sql, trs) + src_cursor.close() + dest.commit() + dest_cursor.close() + print("Info: Created database traits.db in data/db.")