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A127893 Riordan array (1/(1-x)^3,x/(1-x)^3). +0
4
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)
OFFSET

0,2

COMMENT

Row sums are A052529(n+1). Diagonal sums are A095263. Inverse is A127894.

FORMULA

Number triangle T(n,k)=C(n+2k+2,n-k)

EXAMPLE

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

CROSSREFS

Adjacent sequences: A127890 A127891 A127892 this_sequence A127894 A127895 A127896

Sequence in context: A109954 A133545 A124847 this_sequence A127895 A116412 A089511

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Feb 04 2007

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Last modified October 7 08:31 EDT 2008. Contains 144667 sequences.


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