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‎Project.toml‎

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name = "IntegerTriangles"
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uuid = "715aea54-2823-4197-8122-618b5e027a3f"
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authors = ["Peter Luschny"]
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version = "0.2.2dev"
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version = "0.2.2-dev"
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[deps]
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AbstractAlgebra = "c3fe647b-3220-5bb0-a1ea-a7954cac585d"
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DocStringExtensions = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
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Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4"
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DocumenterTools = "35a29f4d-8980-5a13-9543-d66fff28ecb8"
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HTTP = "cd3eb016-35fb-5094-929b-558a96fad6f3"
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InteractiveUtils = "b77e0a4c-d291-57a0-90e8-8db25a27a240"
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Nemo = "2edaba10-b0f1-5616-af89-8c11ac63239a"
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OrderedCollections = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
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PrettyTables = "08abe8d2-0d0c-5749-adfa-8a2ac140af0d"

‎data/Lah.md‎

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```@raw html
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<style> table, td, th {border-collapse: collapse; font-family: sans-serif; color: blue;}
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td, th {border-bottom: 0; padding: 4px}
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tr:nth-child(odd) {background: #eee;}
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tr:nth-child(even) {background: #fff;}
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tr.header {background: orange !important; color: white; font-weight: bold;}
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tr.subheader {background: lightgray !important; color: black;}
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tr.headerLastRow {border-bottom: 2px solid black;}
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th.rowNumber, td.rowNumber {text-align: right;} </style><body>
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<table>
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<tr class = "header headerLastRow">
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<th style = "text-align: left;">Trait</th>
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<th style = "text-align: left;">ANumber</th>
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<th style = "text-align: left;">Sequence</th>
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</tr>
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<tr>
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<td style = "text-align: left;">Lah</td>
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<td style = "text-align: left;"></td>
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<td style = "text-align: left;"></td>
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</tr>
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<tr>
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<td style = "text-align: left;">Flat </td>
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<td style = "text-align: left;"><a href='https://oeis.org/A111596'>A111596</a></td>
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<td style = "text-align: left;">1, 0, 1, 0, 2, 1, 0, 6, 6, 1</td>
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</tr>
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<tr>
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<td style = "text-align: left;">Reverse </td>
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<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 1 0 1 2 0 1 6 6 0 ]'>nomatch</a></td>
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<td style = "text-align: left;">1, 1, 0, 1, 2, 0, 1, 6, 6, 0</td>
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</tr>
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<tr>
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<td style = "text-align: left;">Inverse </td>
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<td style = "text-align: left;"><a href='https://oeis.org/A111596'>A111596</a></td>
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<td style = "text-align: left;">1, 0, 1, 0, -2, 1, 0, 6, -6, 1</td>
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</tr>
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<tr>
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<td style = "text-align: left;">RevInv </td>
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<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 1 0 1 -2 0 1 -6 6 0 ]'>nomatch</a></td>
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<td style = "text-align: left;">1, 1, 0, 1, -2, 0, 1, -6, 6, 0</td>
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</tr>
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<tr>
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<td style = "text-align: left;">DiagTri </td>
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<td style = "text-align: left;"><a href='https://oeis.org/A330609'>A330609</a></td>
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<td style = "text-align: left;">1, 0, 0, 1, 0, 2, 0, 6, 1, 0</td>
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</tr>
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<tr>
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<td style = "text-align: left;">PolyTri </td>
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<td style = "text-align: left;"><a href='https://oeis.org/A253286'>A253286</a></td>
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<td style = "text-align: left;">1, 0, 1, 0, 1, 1, 0, 3, 2, 1</td>
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</tr>
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<tr>
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<td style = "text-align: left;">sum </td>
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<td style = "text-align: left;"><a href='https://oeis.org/A000262'>A000262</a></td>
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<td style = "text-align: left;">1, 1, 3, 13, 73, 501, 4051, 37633, 394353, 4596553</td>
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</tr>
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<tr>
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<td style = "text-align: left;">EvenSum </td>
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<td style = "text-align: left;"><a href='https://oeis.org/A088312'>A088312</a></td>
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<td style = "text-align: left;">1, 0, 1, 6, 37, 260, 2101, 19362, 201097, 2326536</td>
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</tr>
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<tr>
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<td style = "text-align: left;">OddSum </td>
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<td style = "text-align: left;"><a href='https://oeis.org/A088313'>A088313</a></td>
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<td style = "text-align: left;">0, 1, 2, 7, 36, 241, 1950, 18271, 193256, 2270017</td>
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</tr>
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<tr>
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<td style = "text-align: left;">AltSum </td>
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<td style = "text-align: left;"><a href='https://oeis.org/A111884'>A111884</a></td>
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<td style = "text-align: left;">1, -1, -1, -1, 1, 19, 151, 1091, 7841, 56519</td>
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</tr>
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<tr>
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<td style = "text-align: left;">DiagSum </td>
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<td style = "text-align: left;"><a href='https://oeis.org/A001053'>A001053</a></td>
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<td style = "text-align: left;">1, 0, 1, 2, 7, 30, 157, 972, 6961, 56660</td>
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</tr>
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<tr>
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<td style = "text-align: left;">Middle </td>
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<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 0 2 6 36 240 1200 12600 58800 846720 ]'>nomatch</a></td>
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<td style = "text-align: left;">1, 0, 2, 6, 36, 240, 1200, 12600, 58800, 846720</td>
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</tr>
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<tr>
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<td style = "text-align: left;">Central </td>
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<td style = "text-align: left;"><a href='https://oeis.org/A187535'>A187535</a></td>
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<td style = "text-align: left;">1, 2, 36, 1200, 58800, 3810240, 307359360, 29682132480, 3339239904000, 428906814336000</td>
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</tr>
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<tr>
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<td style = "text-align: left;">LeftSide </td>
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<td style = "text-align: left;"><a href='https://oeis.org/A000007'>A000007</a></td>
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<td style = "text-align: left;">1, 0, 0, 0, 0, 0, 0, 0, 0, 0</td>
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</tr>
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<tr>
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<td style = "text-align: left;">RightSide </td>
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<td style = "text-align: left;"><a href='https://oeis.org/A000012'>A000012</a></td>
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<td style = "text-align: left;">1, 1, 1, 1, 1, 1, 1, 1, 1, 1</td>
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</tr>
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<tr>
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<td style = "text-align: left;">PosHalf </td>
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<td style = "text-align: left;"><a href='https://oeis.org/A025168'>A025168</a></td>
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<td style = "text-align: left;">1, 1, 5, 37, 361, 4361, 62701, 1044205, 19748177, 417787921</td>
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</tr>
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<tr>
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<td style = "text-align: left;">NegHalf </td>
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<td style = "text-align: left;"><a href='https://oeis.org/A318223'>A318223</a></td>
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<td style = "text-align: left;">1, 1, -3, 13, -71, 441, -2699, 9157, 206193, -8443151</td>
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</tr>
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<tr>
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<td style = "text-align: left;">PolyVal2 </td>
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<td style = "text-align: left;"><a href='https://oeis.org/A052897'>A052897</a></td>
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<td style = "text-align: left;">1, 2, 8, 44, 304, 2512, 24064, 261536, 3173888, 42483968</td>
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</tr>
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<tr>
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<td style = "text-align: left;">PolyVal3 </td>
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<td style = "text-align: left;"><a href='https://oeis.org/A255806'>A255806</a></td>
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<td style = "text-align: left;">1, 3, 15, 99, 801, 7623, 83079, 1017495, 13808097, 205374123</td>
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</tr>
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<tr>
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<td style = "text-align: left;">BinConv </td>
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<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 1 5 37 361 4301 60001 954325 16984577 333572041 ]'>nomatch</a></td>
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<td style = "text-align: left;">1, 1, 5, 37, 361, 4301, 60001, 954325, 16984577, 333572041</td>
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</tr>
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<tr>
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<td style = "text-align: left;">IBinConv </td>
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<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 1 -3 1 73 -699 3001 24697 -783999 10946233 ]'>nomatch</a></td>
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<td style = "text-align: left;">1, 1, -3, 1, 73, -699, 3001, 24697, -783999, 10946233</td>
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</tr>
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<tr>
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<td style = "text-align: left;">TransSqrs </td>
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<td style = "text-align: left;"><a href='https://oeis.org/A103194'>A103194</a></td>
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<td style = "text-align: left;">0, 1, 6, 39, 292, 2505, 24306, 263431, 3154824, 41368977</td>
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</tr>
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<tr>
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<td style = "text-align: left;">TransNat0 </td>
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<td style = "text-align: left;"><a href='https://oeis.org/A052852'>A052852</a></td>
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<td style = "text-align: left;">0, 1, 4, 21, 136, 1045, 9276, 93289, 1047376, 12975561</td>
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</tr>
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<tr>
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<td style = "text-align: left;">TransNat1 </td>
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<td style = "text-align: left;"><a href='https://oeis.org/A002720'>A002720</a></td>
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<td style = "text-align: left;">1, 2, 7, 34, 209, 1546, 13327, 130922, 1441729, 17572114</td>
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</tr>
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</table>
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```

‎docs/src/A046802.md‎

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<td style = "text-align: left;">1, 4, 19, 112, 829, 7564, 82639, 1053112, 15337369, 251292244</td>
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</tr>
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<tr>
122-
<td style = "text-align: left;">BinTrans </td>
122+
<td style = "text-align: left;">BinConv </td>
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<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 2 8 44 320 2932 32608 427212 6446336 110104676 ]'>nomatch</a></td>
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<td style = "text-align: left;">1, 2, 8, 44, 320, 2932, 32608, 427212, 6446336, 110104676</td>
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</tr>
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<tr>
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<td style = "text-align: left;">IBinTrans </td>
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<td style = "text-align: left;">IBinConv </td>
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<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 0 -4 0 80 0 -4224 0 435200 0 ]'>nomatch</a></td>
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<td style = "text-align: left;">1, 0, -4, 0, 80, 0, -4224, 0, 435200, 0</td>
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</tr>

‎docs/src/Aitken.md‎

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<td style = "text-align: left;">1, 7, 56, 521, 5529, 65674, 860387, 12290251, 189680754, 3139572183</td>
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</tr>
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<tr>
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<td style = "text-align: left;">BinTrans </td>
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<td style = "text-align: left;">BinConv </td>
108108
<td style = "text-align: left;"><a href='https://oeis.org/A126390'>A126390</a></td>
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<td style = "text-align: left;">1, 3, 13, 71, 457, 3355, 27509, 248127, 2434129, 25741939</td>
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</tr>
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<tr>
112-
<td style = "text-align: left;">IBinTrans </td>
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<td style = "text-align: left;">IBinConv </td>
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<td style = "text-align: left;"><a href='https://oeis.org/A000012'>A000012</a></td>
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<td style = "text-align: left;">1, 1, 1, 1, 1, 1, 1, 1, 1, 1</td>
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</tr>

‎docs/src/Bessel1.md‎

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<td style = "text-align: left;">1, 3, 6, 9, 9, 18, -81, 1053, -14418, 225747</td>
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</tr>
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<tr>
117-
<td style = "text-align: left;">BinTrans </td>
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<td style = "text-align: left;">BinConv </td>
118118
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 1 -1 1 7 -124 1591 -19991 256691 -3335228 ]'>nomatch</a></td>
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<td style = "text-align: left;">1, 1, -1, 1, 7, -124, 1591, -19991, 256691, -3335228</td>
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</tr>
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<tr>
122-
<td style = "text-align: left;">IBinTrans </td>
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<td style = "text-align: left;">IBinConv </td>
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<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 1 3 19 175 2076 29911 505093 9757539 211883500 ]'>nomatch</a></td>
124124
<td style = "text-align: left;">1, 1, 3, 19, 175, 2076, 29911, 505093, 9757539, 211883500</td>
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</tr>

‎docs/src/Binomial.md‎

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<td style = "text-align: left;">1, 4, 16, 64, 256, 1024, 4096, 16384, 65536, 262144</td>
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</tr>
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<tr>
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<td style = "text-align: left;">BinTrans </td>
122+
<td style = "text-align: left;">BinConv </td>
123123
<td style = "text-align: left;"><a href='https://oeis.org/A000984'>A000984</a></td>
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<td style = "text-align: left;">1, 2, 6, 20, 70, 252, 924, 3432, 12870, 48620</td>
125125
</tr>
126126
<tr>
127-
<td style = "text-align: left;">IBinTrans </td>
127+
<td style = "text-align: left;">IBinConv </td>
128128
<td style = "text-align: left;"><a href='https://oeis.org/A126869'>A126869</a></td>
129129
<td style = "text-align: left;">1, 0, -2, 0, 6, 0, -20, 0, 70, 0</td>
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</tr>

‎docs/src/Catalan.md‎

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<td style = "text-align: left;">1, 3, 10, 33, 110, 366, 1220, 4065, 13550, 45162</td>
115115
</tr>
116116
<tr>
117-
<td style = "text-align: left;">BinTrans </td>
117+
<td style = "text-align: left;">BinConv </td>
118118
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 1 2 7 21 66 216 715 2395 8101 ]'>nomatch</a></td>
119119
<td style = "text-align: left;">1, 1, 2, 7, 21, 66, 216, 715, 2395, 8101</td>
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</tr>
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<tr>
122-
<td style = "text-align: left;">IBinTrans </td>
122+
<td style = "text-align: left;">IBinConv </td>
123123
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 1 2 7 21 66 216 715 2395 8101 ]'>nomatch</a></td>
124124
<td style = "text-align: left;">1, 1, 2, 7, 21, 66, 216, 715, 2395, 8101</td>
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</tr>

‎docs/src/DArcais.md‎

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<td style = "text-align: left;">1, 3, 18, 132, 1224, 12960, 159120, 2162160, 32659200, 536699520</td>
115115
</tr>
116116
<tr>
117-
<td style = "text-align: left;">BinTrans </td>
117+
<td style = "text-align: left;">BinConv </td>
118118
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 1 7 52 595 7521 117796 2033004 39834159 852065323 ]'>nomatch</a></td>
119119
<td style = "text-align: left;">1, 1, 7, 52, 595, 7521, 117796, 2033004, 39834159, 852065323</td>
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</tr>
121121
<tr>
122-
<td style = "text-align: left;">IBinTrans </td>
122+
<td style = "text-align: left;">IBinConv </td>
123123
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 1 -5 -2 115 -1779 976 79668 -2574417 32044003 ]'>nomatch</a></td>
124124
<td style = "text-align: left;">1, 1, -5, -2, 115, -1779, 976, 79668, -2574417, 32044003</td>
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</tr>

‎docs/src/Delannoy.md‎

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<td style = "text-align: left;">1, 4, 19, 88, 409, 1900, 8827, 41008, 190513, 885076</td>
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</tr>
121121
<tr>
122-
<td style = "text-align: left;">BinTrans </td>
122+
<td style = "text-align: left;">BinConv </td>
123123
<td style = "text-align: left;"><a href='https://oeis.org/A006139'>A006139</a></td>
124124
<td style = "text-align: left;">1, 2, 8, 32, 136, 592, 2624, 11776, 53344, 243392</td>
125125
</tr>
126126
<tr>
127-
<td style = "text-align: left;">IBinTrans </td>
127+
<td style = "text-align: left;">IBinConv </td>
128128
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 0 -4 0 24 0 -160 0 1120 0 ]'>nomatch</a></td>
129129
<td style = "text-align: left;">1, 0, -4, 0, 24, 0, -160, 0, 1120, 0</td>
130130
</tr>

‎docs/src/Euler.md‎

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<td style = "text-align: left;">1, 4, 16, 65, 272, 1189, 5506, 27365, 147512, 868129</td>
115115
</tr>
116116
<tr>
117-
<td style = "text-align: left;">BinTrans </td>
117+
<td style = "text-align: left;">BinConv </td>
118118
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 2 6 21 90 467 2824 19383 148414 1251935 ]'>nomatch</a></td>
119119
<td style = "text-align: left;">1, 2, 6, 21, 90, 467, 2824, 19383, 148414, 1251935</td>
120120
</tr>
121121
<tr>
122-
<td style = "text-align: left;">IBinTrans </td>
122+
<td style = "text-align: left;">IBinConv </td>
123123
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 0 -2 -1 -6 -15 0 -271 574 -5379 ]'>nomatch</a></td>
124124
<td style = "text-align: left;">1, 0, -2, -1, -6, -15, 0, -271, 574, -5379</td>
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</tr>

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