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A132964 Convolution triangle of A006190 . +0
1
1, 3, 1, 10, 6, 1, 33, 29, 9, 1, 109, 126, 57, 12, 1, 360, 516, 306, 94, 15, 1, 1189, 2034, 1491, 600, 140, 18, 1, 3927, 7807, 6813, 1035, 195, 21, 1, 12970, 29382, 29737, 17568, 6620, 1638, 259, 24, 1, 42837, 108923, 125406, 85826, 38493, 11739, 2436, 332, 27, 1 (list; table; graph; listen)
OFFSET

0,2

COMMENT

As a Riordan array, this is (1/(1-3x-x^2),x/(1-3x-x^2)).

FORMULA

Sum_{k, 0<=k<=n}T(n,k)=A001076(n+1). Sum{k, 0<=k<=[n/2]}T(n-k,k)=A007482(n).

EXAMPLE

Triangle begins:

1;

3, 1;

10, 6, 1;

33, 29, 9, 1;

109, 126, 57, 12, 1;

360, 516, 306, 94, 15, 1;

1189, 2034, 1491, 600, 140, 18, 1;

3927, 7807, 6813, 3385, 1035, 195, 21, 1;

12970, 29382, 29737, 17568, 6630, 1638, 259, 24, 1;

42837, 108923, 125406, 85826, 38493, 11739, 2436, 332, 27, 1 ;...

CROSSREFS

Cf. A006190, A037027, A054456, A112906.

Sequence in context: A111418 A113187 A057967 this_sequence A134283 A035324 A091965

Adjacent sequences: A132961 A132962 A132963 this_sequence A132965 A132966 A132967

KEYWORD

easy,nonn,tabl

AUTHOR

Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 24 2007

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Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.


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