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Catalan.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;">Catalan</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/A053121'>A053121</a></td>
    <td style = "text-align: left;">[1 0 1 1 0 1 0 2 0 1 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">Reverse</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A052173'>A052173</a></td>
    <td style = "text-align: left;">[1 1 0 1 0 1 1 0 2 0 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">Inverse</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A049310'>A049310</a></td>
    <td style = "text-align: left;">[1 0 1 -1 0 1 0 -2 0 1 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">RevInv</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A053119'>A053119</a></td>
    <td style = "text-align: left;">[1 1 0 1 0 -1 1 0 -2 0 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">DiagTri</td>
    <td style = "text-align: left;"><a href='https://oeis.org/?q=[1 0 1 1 0 0 2 2 1 0 ]'>nomatch</a></td>
    <td style = "text-align: left;">[1 0 1 1 0 0 2 2 1 0 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">PolyTri</td>
    <td style = "text-align: left;"><a href='https://oeis.org/?q=[1 0 1 1 1 1 0 2 2 1 ]'>nomatch</a></td>
    <td style = "text-align: left;">[1 0 1 1 1 1 0 2 2 1 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">Sum</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A001405'>A001405</a></td>
    <td style = "text-align: left;">[1 1 2 3 6 10 20 35 70 126 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">EvenSum</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A126869'>A126869</a></td>
    <td style = "text-align: left;">[1 0 2 0 6 0 20 0 70 0 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">OddSum</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A138364'>A138364</a></td>
    <td style = "text-align: left;">[0 1 0 3 0 10 0 35 0 126 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">AltSum</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A001405'>A001405</a></td>
    <td style = "text-align: left;">[1 -1 2 -3 6 -10 20 -35 70 -126 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">DiagSum</td>
    <td style = "text-align: left;"><a href='https://oeis.org/?q=[1 0 2 0 5 0 14 0 42 0 ]'>nomatch</a></td>
    <td style = "text-align: left;">[1 0 2 0 5 0 14 0 42 0 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">Middle</td>
    <td style = "text-align: left;"><a href='https://oeis.org/?q=[1 0 0 2 3 0 0 14 20 0 ]'>nomatch</a></td>
    <td style = "text-align: left;">[1 0 0 2 3 0 0 14 20 0 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">Central</td>
    <td style = "text-align: left;"><a href='https://oeis.org/?q=[1 0 3 0 20 0 154 0 1260 0 ]'>nomatch</a></td>
    <td style = "text-align: left;">[1 0 3 0 20 0 154 0 1260 0 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">LeftSide</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A126120'>A126120</a></td>
    <td style = "text-align: left;">[1 0 1 0 2 0 5 0 14 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/A121724'>A121724</a></td>
    <td style = "text-align: left;">[1 1 5 9 45 97 485 1145 5725 14289 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">NegHalf</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A121724'>A121724</a></td>
    <td style = "text-align: left;">[1 1 5 9 45 97 485 1145 5725 14289 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">PolyVal2</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A054341'>A054341</a></td>
    <td style = "text-align: left;">[1 2 5 12 30 74 185 460 1150 2868 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">PolyVal3</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A126931'>A126931</a></td>
    <td style = "text-align: left;">[1 3 10 33 110 366 1220 4065 13550 45162 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">BinConv</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A344500'>A344500</a></td>
    <td style = "text-align: left;">[1 1 2 7 21 66 216 715 2395 8101 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">IBinConv</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A344500'>A344500</a></td>
    <td style = "text-align: left;">[1 1 2 7 21 66 216 715 2395 8101 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">TransSqrs</td>
    <td style = "text-align: left;"><a href='https://oeis.org/?q=[0 1 4 11 28 66 152 339 748 1622 ]'>nomatch</a></td>
    <td style = "text-align: left;">[0 1 4 11 28 66 152 339 748 1622 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">TransNat0</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A045621'>A045621</a></td>
    <td style = "text-align: left;">[0 1 2 5 10 22 44 93 186 386 ]</td>
  </tr>
  <tr>
    <td style = "text-align: left;">TransNat1</td>
    <td style = "text-align: left;"><a href='https://oeis.org/A000079'>A000079</a></td>
    <td style = "text-align: left;">[1 2 4 8 16 32 64 128 256 512 ]</td>
  </tr>
</table>