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StirlingCycle.md

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<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;">StirlingCycle</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/A048994'>A048994</a></td>
    <td style = "text-align: left;">[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 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">Reverse</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A054654'>A054654</a></td>
    <td style = "text-align: left;">[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 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">Inverse</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A048993'>A048993</a></td>
    <td style = "text-align: left;">[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 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">RevInv</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A106800'>A106800</a></td>
    <td style = "text-align: left;">[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 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">DiagTri</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A331327'>A331327</a></td>
    <td style = "text-align: left;">[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 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">PolyTri</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A094587'>A094587</a></td>
    <td style = "text-align: left;">[1 0 1 0 1 1 0 2 2 1 0 6 6 3 1 0 24 24 12 4 1 0 120 120 60 20 5 1 0 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">Sum</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A000142'>A000142</a></td>
    <td style = "text-align: left;">[1 1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 ] </td>
  </tr>
  <tr>
    <td style = "text-align: left;">EvenSum</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A105752'>A105752</a></td>
    <td style = "text-align: left;">[1 0 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">OddSum</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A001710'>A001710</a></td>
    <td style = "text-align: left;">[0 1 1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">AltSum</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A014028'>A014028</a></td>
    <td style = "text-align: left;">[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 0 ]              </td>
  </tr>
  <tr>
    <td style = "text-align: left;">DiagSum</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A343579'>A343579</a></td>
    <td style = "text-align: left;">[1 0 1 1 3 9 36 176 1030 7039 55098 486346 4780445 51787405 613045468 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">Middle</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A154415'>A154415</a></td>
    <td style = "text-align: left;">[1 0 1 2 11 50 225 1624 6769 67284 269325 3416930 13339535 206070150 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">Central</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A187646'>A187646</a></td>
    <td style = "text-align: left;">[1 1 11 225 6769 269325 13339535 790943153 54631129553 4308105301929 ] </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/A001147'>A001147</a></td>
    <td style = "text-align: left;">[1 1 3 15 105 945 10395 135135 2027025 34459425 654729075 13749310575 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">NegHalf</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A330797'>A330797</a></td>
    <td style = "text-align: left;">[1 1 -1 3 -15 105 -945 10395 -135135 2027025 -34459425 654729075 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">PolyVal2</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A000142'>A000142</a></td>
    <td style = "text-align: left;">[1 2 6 24 120 720 5040 40320 362880 3628800 39916800 479001600 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">PolyVal3</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A001710'>A001710</a></td>
    <td style = "text-align: left;">[1 3 12 60 360 2520 20160 181440 1814400 19958400 239500800 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">PolyValn</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A000407'>A000407</a></td>
    <td style = "text-align: left;">[1 1 6 60 840 15120 332640 8648640 259459200 8821612800 335221286400 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">BinConv</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A211210'>A211210</a></td>
    <td style = "text-align: left;">[1 1 3 16 115 1021 10696 128472 1734447 25937683 424852351 7554471156 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">IBinConv</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A317274'>A317274</a></td>
    <td style = "text-align: left;">[1 1 -1 -2 19 -79 76 2640 -36945 329371 -1861949 -4438774 355714228 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">TransSqrs</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A151881'>A151881</a></td>
    <td style = "text-align: left;">[0 1 5 23 120 724 5012 39332 345832 3371976 36135792 422379792 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">TransNat0</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A000254'>A000254</a></td>
    <td style = "text-align: left;">[0 1 3 11 50 274 1764 13068 109584 1026576 10628640 120543840 ] </td>
  </tr>
  <tr>
    <td style = "text-align: left;">TransNat1</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A000774'>A000774</a></td>
    <td style = "text-align: left;">[1 2 5 17 74 394 2484 18108 149904 1389456 14257440 160460640 ] </td>
  </tr>
</table>