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A130847
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Triangle T(n,k), 0<=k<=n, read by rows, given by [1,2,3,4,5,6,7,8,9,10,...] DELTA [1,1,6,6,15,15,28,28,...] where DELTA is the operator defined in A084938 .
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3
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1, 1, 1, 3, 5, 2, 15, 42, 37, 10, 105, 450, 699, 458, 104, 945, 5775, 13845, 16065, 8866, 1816, 10395, 85995, 293265, 522345, 506028, 248660, 47312
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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FORMULA
| Sum_{k, 0<=k<=n}T(n,k)*x^k = A033999(n), A000007(n), A001147(n), A005799(n+1), A125054(n), A126152(n), A126157(n) for x= -2, -1, 0, 1, 2, 3, 4 respectively . T(n,n)=A005799(n).
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EXAMPLE
| Triangle begins:
1;
1, 1;
3, 5, 2;
15, 42, 37, 10;
105, 450, 699, 458, 104;
945, 5775, 13845, 16065, 8866, 1816;
10395, 85995, 293265, 522345, 506028, 248660, 47312 ;...
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CROSSREFS
| Sequence in context: A108426 A163237 A053979 * A188815 A010615 A114865
Adjacent sequences: A130844 A130845 A130846 * A130848 A130849 A130850
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KEYWORD
| nonn,tabl
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jul 21 2007, Jul 25 2007
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