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SeidelBoust

['A008280', 'A108040', 'A236935', 'A239005']

SeidelBoust Triangle view

Row Seq
Row0 [1]
Row1 [0, 1]
Row2 [1, 1, 0]
Row3 [0, 1, 2, 2]
Row4 [5, 5, 4, 2, 0]
Row5 [0, 5, 10, 14, 16, 16]
Row6 [61, 61, 56, 46, 32, 16, 0]
Row7 [0, 61, 122, 178, 224, 256, 272, 272]
Row8 [1385, 1385, 1324, 1202, 1024, 800, 544, 272, 0]
Row9 [0, 1385, 2770, 4094, 5296, 6320, 7120, 7664, 7936, 7936]

SeidelBoust Triangles

Flat Seq
Triangle [[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, 1385, 1324, 1202, 1024, 800, 544, 272, 0], [0, 1385, 2770, 4094, 5296, 6320, 7120, 7664, 7936, 7936]]
RevTabl [[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, 272, 544, 800, 1024, 1202, 1324, 1385, 1385], [7936, 7936, 7664, 7120, 6320, 5296, 4094, 2770, 1385, 0]]
AntiDiag [[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]]
AccTabl [[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, 1113, 1385], [1385, 2770, 4094, 5296, 6320, 7120, 7664, 7936, 7936], [0, 1385, 4155, 8249, 13545, 19865, 26985, 34649, 42585, 50521]]
RevAccTabl [[1], [1, 0], [2, 2, 1], [5, 3, 1, 0], [16, 16, 14, 10, 5], [61, 45, 29, 15, 5, 0], [272, 272, 256, 224, 178, 122, 61], [1385, 1113, 841, 585, 361, 183, 61, 0], [7936, 7936, 7664, 7120, 6320, 5296, 4094, 2770, 1385], [50521, 42585, 34649, 26985, 19865, 13545, 8249, 4155, 1385, 0]]
AccRevTabl [[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, 1385, 1385], [0, 272, 816, 1616, 2640, 3842, 5166, 6551, 7936], [7936, 15872, 23536, 30656, 36976, 42272, 46366, 49136, 50521, 50521]]
DiffxTabl [[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, 1904, 2176], [1385, 2770, 3972, 4808, 5120, 4800, 3808, 2176, 0], [0, 2770, 8310, 16376, 26480, 37920, 49840, 61312, 71424, 79360]]

SeidelBoust Row sums

Trait Seq
RowSum [1, 1, 2, 5, 16, 61, 272, 1385, 7936, 50521]
EvenSum [1, 0, 1, 2, 9, 26, 149, 618, 4277, 23122]
OddSum [0, 1, 1, 3, 7, 35, 123, 767, 3659, 27399]
AltSum [1, -1, 0, -1, 2, -9, 26, -149, 618, -4277]
AbsSum [1, 1, 2, 5, 16, 61, 272, 1385, 7936, 50521]
AccSum [1, 1, 5, 9, 61, 155, 1385, 4529, 50521, 201939]
AccRevSum [1, 2, 3, 16, 35, 272, 791, 7936, 28839, 353792]
DiagSum [1, 0, 2, 1, 6, 7, 72, 73, 1516, 1569]

SeidelBoust Transforms

Trans Seq
RowLcm [1, 1, 1, 2, 20, 560, 314272, 165389056, 23981211622400, 281812254093464320]
RowGcd [1, 1, 1, 2, 1, 1, 1, 1, 1, 1]
RowMax [1, 1, 1, 2, 5, 16, 61, 272, 1385, 7936]
CentralE [1, 1, 4, 46, 1024]
CentralO [0, 1, 10, 178, 5296]
ColMiddle [1, 0, 1, 1, 4, 10, 46, 178, 1024, 5296]
ColLeft [1, 0, 1, 0, 5, 0, 61, 0, 1385, 0]
ColRight [1, 1, 0, 2, 0, 16, 0, 272, 0, 7936]
BinConv [1, 1, 3, 11, 57, 361, 2763, 24611, 250737, 2873041]
InvBinConv [1, 1, -1, -1, 1, 1, -1, -1, 1, 1]
TransSqrs [0, 1, 1, 27, 39, 827, 1611, 35255, 86795, 2074623]
TransNat0 [0, 1, 1, 11, 19, 211, 519, 6551, 20903, 303271]
TransNat1 [1, 2, 3, 16, 35, 272, 791, 7936, 28839, 353792]
PosHalf [1, 1, 6, 10, 140, 264, 7280, 14288, 680544, 1353152]
NegHalf [1, 1, 2, 2, 52, 40, 2576, 1808, 235168, 159424]

SeidelBoust Diagonals as rows

DiagRow Seq
DiagRow0 [1, 1, 0, 2, 0, 16, 0, 272, 0, 7936]
DiagRow1 [0, 1, 2, 2, 16, 16, 272, 272, 7936, 7936]
DiagRow2 [1, 1, 4, 14, 32, 256, 544, 7664, 15872, 345856]
DiagRow3 [0, 5, 10, 46, 224, 800, 7120, 23536, 329984, 1053440]
DiagRow4 [5, 5, 56, 178, 1024, 6320, 30656, 306448, 1383424, 20253440]
DiagRow5 [0, 61, 122, 1202, 5296, 36976, 275792, 1689872, 18870016, 108311296]
DiagRow6 [61, 61, 1324, 4094, 42272, 238816, 1965664, 17180144, 127181312, 1573532416]
DiagRow7 [0, 1385, 2770, 46366, 196544, 2204480, 15214480, 144361456, 1446351104, 12550833920]
DiagRow8 [1385, 1385, 49136, 150178, 2401024, 13010000, 159575936, 1301989648, 13997185024, 158116017920]
DiagRow9 [0, 50521, 101042, 2551202, 10608976, 172585936, 1142413712, 15299174672, 144118832896, 1731678144256]

SeidelBoust Diagonals as columns

DiagCol Seq
DiagCol0 [1, 0, 1, 0, 5, 0, 61, 0, 1385, 0]
DiagCol1 [1, 1, 1, 5, 5, 61, 61, 1385, 1385, 50521]
DiagCol2 [0, 2, 4, 10, 56, 122, 1324, 2770, 49136, 101042]
DiagCol3 [2, 2, 14, 46, 178, 1202, 4094, 46366, 150178, 2551202]
DiagCol4 [0, 16, 32, 224, 1024, 5296, 42272, 196544, 2401024, 10608976]
DiagCol5 [16, 16, 256, 800, 6320, 36976, 238816, 2204480, 13010000, 172585936]
DiagCol6 [0, 272, 544, 7120, 30656, 275792, 1965664, 15214480, 159575936, 1142413712]
DiagCol7 [272, 272, 7664, 23536, 306448, 1689872, 17180144, 144361456, 1301989648, 15299174672]
DiagCol8 [0, 7936, 15872, 329984, 1383424, 18870016, 127181312, 1446351104, 13997185024, 144118832896]
DiagCol9 [7936, 7936, 345856, 1053440, 20253440, 108311296, 1573532416, 12550833920, 158116017920, 1731678144256]

SeidelBoust Polynomial values as rows

PolyRow Seq
PolyRow0 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
PolyRow1 [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
PolyRow2 [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
PolyRow3 [0, 5, 26, 75, 164, 305, 510, 791, 1160, 1629]
PolyRow4 [5, 16, 47, 110, 217, 380, 611, 922, 1325, 1832]
PolyRow5 [0, 61, 930, 5667, 21556, 62025, 148566, 312655, 597672, 1060821]
PolyRow6 [61, 272, 1799, 8470, 28721, 77516, 178267, 364754, 683045, 1193416]
PolyRow7 [0, 1385, 66034, 879591, 5903636, 26465605, 91157190, 260912099, 651134056, 1462245921]
PolyRow8 [1385, 7936, 130683, 1318694, 7871053, 33081660, 109388351, 304397218, 744153009, 1645026488]
PolyRow9 [0, 50521, 7865098, 232328391, 2763338308, 19333647925, 95840648526, 373265465923, 1216465984456, 3457039470993]

SeidelBoust Polynomial values as columns

PolyCol Seq
PolyCol0 [1, 0, 1, 0, 5, 0, 61, 0, 1385, 0]
PolyCol1 [1, 1, 2, 5, 16, 61, 272, 1385, 7936, 50521]
PolyCol2 [1, 2, 3, 26, 47, 930, 1799, 66034, 130683, 7865098]
PolyCol3 [1, 3, 4, 75, 110, 5667, 8470, 879591, 1318694, 232328391]
PolyCol4 [1, 4, 5, 164, 217, 21556, 28721, 5903636, 7871053, 2763338308]
PolyCol5 [1, 5, 6, 305, 380, 62025, 77516, 26465605, 33081660, 19333647925]
PolyCol6 [1, 6, 7, 510, 611, 148566, 178267, 91157190, 109388351, 95840648526]
PolyCol7 [1, 7, 8, 791, 922, 312655, 364754, 260912099, 304397218, 373265465923]
PolyCol8 [1, 8, 9, 1160, 1325, 597672, 683045, 651134056, 744153009, 1216465984456]
PolyCol9 [1, 9, 10, 1629, 1832, 1060821, 1193416, 1462245921, 1645026488, 3457039470993]

SeidelBoust:Rev

[]

SeidelBoust:Rev Triangle view

Row Seq
Row0 [1]
Row1 [1, 0]
Row2 [0, 1, 1]
Row3 [2, 2, 1, 0]
Row4 [0, 2, 4, 5, 5]
Row5 [16, 16, 14, 10, 5, 0]
Row6 [0, 16, 32, 46, 56, 61, 61]
Row7 [272, 272, 256, 224, 178, 122, 61, 0]
Row8 [0, 272, 544, 800, 1024, 1202, 1324, 1385, 1385]
Row9 [7936, 7936, 7664, 7120, 6320, 5296, 4094, 2770, 1385, 0]

SeidelBoust:Rev Triangles

Flat Seq
Triangle [[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, 272, 544, 800, 1024, 1202, 1324, 1385, 1385], [7936, 7936, 7664, 7120, 6320, 5296, 4094, 2770, 1385, 0]]
RevTabl [[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, 1385, 1324, 1202, 1024, 800, 544, 272, 0], [0, 1385, 2770, 4094, 5296, 6320, 7120, 7664, 7936, 7936]]
AntiDiag [[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]]
AccTabl [[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, 1385, 1385], [0, 272, 816, 1616, 2640, 3842, 5166, 6551, 7936], [7936, 15872, 23536, 30656, 36976, 42272, 46366, 49136, 50521, 50521]]
RevAccTabl [[1], [1, 1], [2, 1, 0], [5, 5, 4, 2], [16, 11, 6, 2, 0], [61, 61, 56, 46, 32, 16], [272, 211, 150, 94, 48, 16, 0], [1385, 1385, 1324, 1202, 1024, 800, 544, 272], [7936, 6551, 5166, 3842, 2640, 1616, 816, 272, 0], [50521, 50521, 49136, 46366, 42272, 36976, 30656, 23536, 15872, 7936]]
AccRevTabl [[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, 1113, 1385], [1385, 2770, 4094, 5296, 6320, 7120, 7664, 7936, 7936], [0, 1385, 4155, 8249, 13545, 19865, 26985, 34649, 42585, 50521]]
DiffxTabl [[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, 427, 0], [0, 544, 1632, 3200, 5120, 7212, 9268, 11080, 12465], [7936, 15872, 22992, 28480, 31600, 31776, 28658, 22160, 12465, 0]]

SeidelBoust:Rev Row sums

Trait Seq
RowSum [1, 1, 2, 5, 16, 61, 272, 1385, 7936, 50521]
EvenSum [1, 1, 1, 3, 9, 35, 149, 767, 4277, 27399]
OddSum [0, 0, 1, 2, 7, 26, 123, 618, 3659, 23122]
AltSum [1, 1, 0, 1, 2, 9, 26, 149, 618, 4277]
AbsSum [1, 1, 2, 5, 16, 61, 272, 1385, 7936, 50521]
AccSum [1, 2, 3, 16, 35, 272, 791, 7936, 28839, 353792]
AccRevSum [1, 1, 5, 9, 61, 155, 1385, 4529, 50521, 201939]
DiagSum [1, 1, 0, 3, 3, 19, 20, 307, 319, 8515]

SeidelBoust:Rev Transforms

Trans Seq
RowLcm [1, 1, 1, 2, 20, 560, 314272, 165389056, 23981211622400, 281812254093464320]
RowGcd [1, 1, 1, 2, 1, 1, 1, 1, 1, 1]
RowMax [1, 1, 1, 2, 5, 16, 61, 272, 1385, 7936]
CentralE [1, 1, 4, 46, 1024]
CentralO [1, 2, 14, 224, 6320]
ColMiddle [1, 1, 1, 2, 4, 14, 46, 224, 1024, 6320]
ColLeft [1, 1, 0, 2, 0, 16, 0, 272, 0, 7936]
ColRight [1, 0, 1, 0, 5, 0, 61, 0, 1385, 0]
BinConv [1, 1, 3, 11, 57, 361, 2763, 24611, 250737, 2873041]
InvBinConv [1, -1, -1, 1, 1, -1, -1, 1, 1, -1]
TransSqrs [0, 0, 5, 6, 143, 242, 5175, 11406, 260251, 707946]
TransNat0 [0, 0, 3, 4, 45, 94, 1113, 3144, 42585, 151418]
TransNat1 [1, 1, 5, 9, 61, 155, 1385, 4529, 50521, 201939]
PosHalf [1, 2, 3, 26, 47, 930, 1799, 66034, 130683, 7865098]
NegHalf [1, -2, -1, -10, -5, -338, -205, -23074, -14921, -2698874]

SeidelBoust:Rev Diagonals as rows

DiagRow Seq
DiagRow0 [1, 0, 1, 0, 5, 0, 61, 0, 1385, 0]
DiagRow1 [1, 1, 1, 5, 5, 61, 61, 1385, 1385, 50521]
DiagRow2 [0, 2, 4, 10, 56, 122, 1324, 2770, 49136, 101042]
DiagRow3 [2, 2, 14, 46, 178, 1202, 4094, 46366, 150178, 2551202]
DiagRow4 [0, 16, 32, 224, 1024, 5296, 42272, 196544, 2401024, 10608976]
DiagRow5 [16, 16, 256, 800, 6320, 36976, 238816, 2204480, 13010000, 172585936]
DiagRow6 [0, 272, 544, 7120, 30656, 275792, 1965664, 15214480, 159575936, 1142413712]
DiagRow7 [272, 272, 7664, 23536, 306448, 1689872, 17180144, 144361456, 1301989648, 15299174672]
DiagRow8 [0, 7936, 15872, 329984, 1383424, 18870016, 127181312, 1446351104, 13997185024, 144118832896]
DiagRow9 [7936, 7936, 345856, 1053440, 20253440, 108311296, 1573532416, 12550833920, 158116017920, 1731678144256]

SeidelBoust:Rev Diagonals as columns

DiagCol Seq
DiagCol0 [1, 1, 0, 2, 0, 16, 0, 272, 0, 7936]
DiagCol1 [0, 1, 2, 2, 16, 16, 272, 272, 7936, 7936]
DiagCol2 [1, 1, 4, 14, 32, 256, 544, 7664, 15872, 345856]
DiagCol3 [0, 5, 10, 46, 224, 800, 7120, 23536, 329984, 1053440]
DiagCol4 [5, 5, 56, 178, 1024, 6320, 30656, 306448, 1383424, 20253440]
DiagCol5 [0, 61, 122, 1202, 5296, 36976, 275792, 1689872, 18870016, 108311296]
DiagCol6 [61, 61, 1324, 4094, 42272, 238816, 1965664, 17180144, 127181312, 1573532416]
DiagCol7 [0, 1385, 2770, 46366, 196544, 2204480, 15214480, 144361456, 1446351104, 12550833920]
DiagCol8 [1385, 1385, 49136, 150178, 2401024, 13010000, 159575936, 1301989648, 13997185024, 158116017920]
DiagCol9 [0, 50521, 101042, 2551202, 10608976, 172585936, 1142413712, 15299174672, 144118832896, 1731678144256]

SeidelBoust:Rev Polynomial values as rows

PolyRow Seq
PolyRow0 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
PolyRow1 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
PolyRow2 [0, 2, 6, 12, 20, 30, 42, 56, 72, 90]
PolyRow3 [2, 5, 10, 17, 26, 37, 50, 65, 82, 101]
PolyRow4 [0, 16, 140, 582, 1672, 3860, 7716, 13930, 23312, 36792]
PolyRow5 [16, 61, 264, 865, 2224, 4821, 9256, 16249, 26640, 41389]
PolyRow6 [0, 272, 7280, 65406, 330176, 1185380, 3404112, 8353730, 18244736, 36423576]
PolyRow7 [272, 1385, 14288, 97973, 440144, 1481657, 4084880, 9745973, 20851088, 40976489]
PolyRow8 [0, 7936, 680544, 13483518, 120436288, 674417460, 2786619936, 9303587314, 26532106368, 67026073608]
PolyRow9 [7936, 50521, 1353152, 20221309, 160579072, 843019841, 3343942336, 10854183877, 30322406144, 75404331817]

SeidelBoust:Rev Polynomial values as columns

PolyCol Seq
PolyCol0 [1, 1, 0, 2, 0, 16, 0, 272, 0, 7936]
PolyCol1 [1, 1, 2, 5, 16, 61, 272, 1385, 7936, 50521]
PolyCol2 [1, 1, 6, 10, 140, 264, 7280, 14288, 680544, 1353152]
PolyCol3 [1, 1, 12, 17, 582, 865, 65406, 97973, 13483518, 20221309]
PolyCol4 [1, 1, 20, 26, 1672, 2224, 330176, 440144, 120436288, 160579072]
PolyCol5 [1, 1, 30, 37, 3860, 4821, 1185380, 1481657, 674417460, 843019841]
PolyCol6 [1, 1, 42, 50, 7716, 9256, 3404112, 4084880, 2786619936, 3343942336]
PolyCol7 [1, 1, 56, 65, 13930, 16249, 8353730, 9745973, 9303587314, 10854183877]
PolyCol8 [1, 1, 72, 82, 23312, 26640, 18244736, 20851088, 26532106368, 30322406144]
PolyCol9 [1, 1, 90, 101, 36792, 41389, 36423576, 40976489, 67026073608, 75404331817]