A130847 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 .

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

Offset: 0

Author

Philippe Deléham, Jul 21 2007, Jul 25 2007

Keywords

• nonn
• tabl

Examples

			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 ;...
		

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).