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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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Sequence in context: A133545 A153091 A124847 this_sequence A127895 A152685 A116412
Adjacent sequences: A127890 A127891 A127892 this_sequence A127894 A127895 A127896
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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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