A127099 Triangle T(n,m) = A126988 *A127093 read by rows.

1, 3, 2, 4, 0, 3, 7, 6, 0, 4, 6, 0, 0, 0, 5, 12, 8, 9, 0, 0, 6, 8, 0, 0, 0, 0, 0, 7, 15, 14, 0, 12, 0, 0, 0, 8, 13, 0, 12, 0, 0, 0, 0, 0, 9, 18, 12, 0, 0, 15, 0, 0, 0, 0, 10, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 28, 24, 21, 16, 0, 18, 0, 0, 0, 0, 0, 12, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 24, 16, 0, 0

Offset: 1

Author

Gary W. Adamson, Jan 05 2007

Keywords

• nonn
• tabl

Comments

Multiply the infinite lower triangular matrices A126988 and A127093.

Examples

			First few rows of the triangle are:
1;
3, 2;
4, 0, 3;
7, 6, 0, 4;
6, 0, 0, 0, 5;
12, 8, 9, 0, 0, 6;
8, 0, 0, 0, 0, 0, 7;
15, 14, 0, 12, 0, 0, 0, 8;
13, 0, 12, 0, 0, 0, 0, 0, 9;
18, 12, 0, 0, 15, 0, 0, 0, 0, 10;
...
		

Crossrefs

Cf. A060640 (row sums), A000203, A127093, A127094, A123229, A127096, A127097, A127098, A127013, A127057.

Formula

T(n,m) = sum_{j=m..n} A126988(n,j)*A127093(j,m).

T(n,1) = A000203(n).

Extensions

Extended by R. J. Mathar, Aug 18 2009