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Search: id:A127895
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| A127895 |
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Riordan array (1/(1+x)^3,x/(1+x)^3). |
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+0
3
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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, -11628
(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 A127896. Diagonal sums are (-1)^n*A095263(n). Inverse is A127898. Alternating sign version of A127893.
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FORMULA
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Number triangle T(n,k)=(-1)^(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 A124847 A127893 this_sequence A116412 A089511 A112692
Adjacent sequences: A127892 A127893 A127894 this_sequence A127896 A127897 A127898
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KEYWORD
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easy,sign,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Feb 04 2007
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