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A132964
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Convolution triangle of A006190 .
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0
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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; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| As a Riordan array, this is (1/(1-3x-x^2),x/(1-3x-x^2)).
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FORMULA
| Sum_{k, 0<=k<=n}T(n,k)=A001076(n+1). Sum{k, 0<=k<=[n/2]}T(n-k,k)=A007482(n).
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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 ;...
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CROSSREFS
| Cf. A006190, A037027, A054456, A112906.
Sequence in context: A111418 A113187 A057967 * A171509 A171505 A134283
Adjacent sequences: A132961 A132962 A132963 * A132965 A132966 A132967
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 24 2007
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