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Search: id:A131429
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| 1, 1, 1, 2, 2, 3, 5, 5, 6, 9, 14, 14, 15, 18, 27, 42, 42, 43, 46, 55, 83, 132, 132, 133, 136, 145, 173, 263, 429, 429, 430, 433, 442, 470, 560, 857, 1430, 1430, 1431, 1434, 1443, 1471, 1561, 1858, 2859, 4862, 4862, 4863, 4866, 4875, 4903, 4993, 5290, 6291, 9723
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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Left column = Catalan numbers, A000108. Right border = 2*A000108 - 1. Row sums = A131430: (1, 2, 7, 25, 88, 311, 1114,...).
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FORMULA
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(A000012 * A31427) + (A131427 * A000012) - A000012; as infinite lower triangular matrices.
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EXAMPLE
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First few rows of the triangle are:
1;
1, 1;
2, 2, 3;
5, 5, 6, 9;
14, 14, 15, 18, 27;
42, 42, 43, 46, 55, 83;
...
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CROSSREFS
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Cf. A000108, A131427, A131428, A131430.
Sequence in context: A014200 A140200 A029039 this_sequence A090473 A113636 A056896
Adjacent sequences: A131426 A131427 A131428 this_sequence A131430 A131431 A131432
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 10 2007
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