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Search: id:A109960
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| A109960 |
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Number triangle binomial(n+3k,4k). |
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+0
4
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| 1, 1, 1, 1, 5, 1, 1, 15, 9, 1, 1, 35, 45, 13, 1, 1, 70, 165, 91, 17, 1, 1, 126, 495, 455, 153, 21, 1, 1, 210, 1287, 1820, 969, 231, 25, 1, 1, 330, 3003, 6188, 4845, 1771, 325, 29, 1, 1, 495, 6435, 18564, 20349, 10626, 2925, 435, 33, 1, 1, 715, 12870, 50388, 74613, 53130
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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Riordan array (1/(1-x), x/(1-x)^4). Rows sums are A055988. Diagonal sums are A109961. Inverse array is A109962.
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FORMULA
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Number triangle T(n, k)=binomial(n+3k, 4k)
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EXAMPLE
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Rows begin
1;
1,1;
1,5,1;
1,15,9,1;
1,35,45,13,1;
1,70,165,91,17,1;
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CROSSREFS
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Sequence in context: A111910 A008957 A136267 this_sequence A056940 A074060 A029847
Adjacent sequences: A109957 A109958 A109959 this_sequence A109961 A109962 A109963
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jul 06 2005
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