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Search: id:A127893
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| A127893 |
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Riordan array (1/(1-x)^3,x/(1-x)^3). |
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+0
4
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| 1, 3, 1, 6, 6, 1, 10, 21, 9, 1, 15, 56, 45, 12, 1, 21, 126, 165, 78, 15, 1, 28, 252, 495, 364, 120, 18, 1, 36, 462, 1287, 1365, 680, 171, 21, 1, 45, 792, 3003, 4368, 3060, 1140, 231, 24, 1, 55, 1287, 6435, 12376
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row sums are A052529(n+1). Diagonal sums are A095263. Inverse is A127894.
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FORMULA
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Number triangle T(n,k)=C(n+2k+2,n-k)
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EXAMPLE
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Triangle begins
1,
3, 1,
6, 6, 1,
10, 21, 9, 1,
15, 56, 45, 12, 1,
21, 126, 165, 78, 15, 1,
28, 252, 495, 364, 120, 18, 1,
36, 462, 1287, 1365, 680, 171, 21, 1,
45, 792, 3003, 4368, 3060, 1140, 231, 24, 1,
55, 1287, 6435, 12376, 11628, 5985, 1771, 300, 27, 1,
66, 2002, 12870, 31824, 38760, 26334, 10626, 2600, 378, 30, 1
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CROSSREFS
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Adjacent sequences: A127890 A127891 A127892 this_sequence A127894 A127895 A127896
Sequence in context: A109954 A133545 A124847 this_sequence A127895 A116412 A089511
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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), Feb 04 2007
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