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<style> table, td, th {border-collapse: collapse; font-family: sans-serif; color: blue;}
td, th {border-bottom: 0; padding: 4px}
tr:nth-child(odd) {background: #eee;}
tr:nth-child(even) {background: #fff;}
tr.header {background: orange !important; color: white; font-weight: bold;}
tr.subheader {background: lightgray !important; color: black;}
tr.headerLastRow {border-bottom: 2px solid black;}
th.rowNumber, td.rowNumber {text-align: right;} </style><body>
<table>
  <tr class = "header headerLastRow">
    <th style = "text-align: left;">Trait</th>
    <th style = "text-align: left;">ANumber</th>
    <th style = "text-align: left;">Sequence</th>
  </tr>
  <tr>
    <td style = "text-align: left;">Lah</td>
    <td style = "text-align: left;"></td>
    <td style = "text-align: left;"></td>
  </tr>
  <tr>
    <td style = "text-align: left;">Triangle</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A271703'>A271703</a></td>
    <td style = "text-align: left;">[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 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">Reverse</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A089231'>A089231</a></td>
    <td style = "text-align: left;">[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 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">Inverse</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A111596'>A111596</a></td>
    <td style = "text-align: left;">[1 0 1 0 -2 1 0 6 -6 1 0 -24 36 -12 1 0 120 -240 120 -20 1 0 -720 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">RevInv</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A089231'>A089231</a></td>
    <td style = "text-align: left;">[1 1 0 1 -2 0 1 -6 6 0 1 -12 36 -24 0 1 -20 120 -240 120 0 1 -30 300 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">DiagTri</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A330609'>A330609</a></td>
    <td style = "text-align: left;">[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 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">PolyTri</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A253286'>A253286</a></td>
    <td style = "text-align: left;">[1 0 1 0 1 1 0 3 2 1 0 13 8 3 1 0 73 44 15 4 1 0 501 304 99 24 5 1 0 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">Sum</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A000262'>A000262</a></td>
    <td style = "text-align: left;">[1 1 3 13 73 501 4051 37633 394353 4596553 58941091 824073141 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">EvenSum</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A088312'>A088312</a></td>
    <td style = "text-align: left;">[1 0 1 6 37 260 2101 19362 201097 2326536 29668681 413257790 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">OddSum</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A088313'>A088313</a></td>
    <td style = "text-align: left;">[0 1 2 7 36 241 1950 18271 193256 2270017 29272410 410815351 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">AltSum</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A111884'>A111884</a></td>
    <td style = "text-align: left;">[1 -1 -1 -1 1 19 151 1091 7841 56519 396271 2442439 7701409 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">DiagSum</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A001053'>A001053</a></td>
    <td style = "text-align: left;">[1 0 1 2 7 30 157 972 6961 56660 516901 5225670 57999271 701216922 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">Middle</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A343581'>A343581</a></td>
    <td style = "text-align: left;">[1 0 2 6 36 240 1200 12600 58800 846720 3810240 69854400 307359360 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">Central</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A187535'>A187535</a></td>
    <td style = "text-align: left;">[1 2 36 1200 58800 3810240 307359360 29682132480 3339239904000 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">LeftSide</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A000007'>A000007</a></td>
    <td style = "text-align: left;">[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 0 0 0 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">RightSide</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A000012'>A000012</a></td>
    <td style = "text-align: left;">[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">PosHalf</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A025168'>A025168</a></td>
    <td style = "text-align: left;">[1 1 5 37 361 4361 62701 1044205 19748177 417787921 9770678101 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">NegHalf</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A318223'>A318223</a></td>
    <td style = "text-align: left;">[1 1 -3 13 -71 441 -2699 9157 206193 -8443151 236126701 -6169406979 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">PolyVal2</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A052897'>A052897</a></td>
    <td style = "text-align: left;">[1 2 8 44 304 2512 24064 261536 3173888 42483968 621159424 9841950208 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">PolyVal3</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A255806'>A255806</a></td>
    <td style = "text-align: left;">[1 3 15 99 801 7623 83079 1017495 13808097 205374123 3318673599 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">PolyValn</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A293145'>A293145</a></td>
    <td style = "text-align: left;">[1 1 8 99 1696 37225 997056 31535371 1150303232 47538819729 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">BinConv</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A344051'>A344051</a></td>
    <td style = "text-align: left;">[1 1 5 37 361 4301 60001 954325 16984577 333572041 7151967181 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">IBinConv</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A344050'>A344050</a></td>
    <td style = "text-align: left;">[1 1 -3 1 73 -699 3001 24697 -783999 10946233 -80958779 -656003919 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">TransSqrs</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A103194'>A103194</a></td>
    <td style = "text-align: left;">[0 1 6 39 292 2505 24306 263431 3154824 41368977 589410910 9064804551 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">TransNat0</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A052852'>A052852</a></td>
    <td style = "text-align: left;">[0 1 4 21 136 1045 9276 93289 1047376 12975561 175721140 2581284541 ]  </td>
  </tr>
  <tr>
    <td style = "text-align: left;">TransNat1</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A002720'>A002720</a></td>
    <td style = "text-align: left;">[1 2 7 34 209 1546 13327 130922 1441729 17572114 234662231 3405357682 ]</td>
  </tr>
</table>