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A106534
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Sum array of Catalan numbers A000108 read by antidiagonals.
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0
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1, 2, 1, 5, 3, 2, 15, 10, 7, 5, 51, 36, 26, 19, 14, 188, 137, 101, 75, 56, 42, 731, 543, 406, 305, 230, 174, 132, 2950, 2219, 1676, 1270, 965, 735, 561, 429, 12235, 9285, 7066, 5390, 4120, 3155, 2420, 1859, 1430, 51822, 39587, 30302, 23236, 17846
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| T(n, k) = 0 if k>n; T(n, n) = A000108(n); T(n, k) = T(n-1, k) + T(n, k+1) if 0<=k<n.
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EXAMPLE
| 1; 2, 1; 5, 3, 2; 15, 10, 7, 5; 51, 36, 26, 19, 14; 188, 137, 101, 75, 56, 42; ...
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CROSSREFS
| Columns : A007317, A002212, see also : A045868, A055452-A055455. Diagonals : A000108, A005807.
Sequence in context: A171176 A067418 A067323 * A123346 A163840 A122833
Adjacent sequences: A106531 A106532 A106533 * A106535 A106536 A106537
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KEYWORD
| nonn,easy,tabl
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), May 30 2005
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