A110857 Table T(n,k), n>=0, k>=0, product M*M^(T) where M is the lower triangular matrix in A106566 and M^(T) denotes the transpose matrix of M, read by antidiagonals.

1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 5, 4, 4, 5, 0, 0, 14, 10, 9, 10, 14, 0, 0, 42, 28, 23, 23, 28, 42, 0, 0, 132, 84, 65, 60, 65, 84, 132, 0, 0, 429, 264, 196, 171, 171, 196, 264, 429, 0, 0, 1430, 858, 618, 518, 490, 518, 618, 858, 1430, 0

Offset: 0

Author

Philippe Deléham, Sep 17 2005

Keywords

• nonn
• tabl

Examples

			Matrix M:
1, 0, 0, 0, 0, 0, 0, 0, ...
0, 1, 0, 0, 0, 0, 0, 0, ...
0, 1, 1, 0, 0, 0, 0, 0, ...
0, 2, 2, 1, 0, 0, 0, 0, ...
0, 5, 5, 3, 1, 0, 0, 0, ...
...
Matrix M^(T):
1, 0, 0, 0, 0, 0, ...
0, 1, 1, 2, 5, 14, ...
0, 0, 1, 2, 5, 14, ...
0, 0, 0, 1, 3, 9, ...
0, 0, 0, 0, 1, 4, ...
0, 0, 0, 0, 0, 1, ...
...
Table begins:
1, 0, 0, 0, 0, 0, 0, ...
0, 1, 1, 2, 5, 14, ...
0, 1, 2, 4, 10, 28, ...
0, 2, 4, 9, 23, 65, ...
0, 5, 10, 23, 60, ...
0, 14, 28, 65, 171, ...
0, 42, 84, 196, ...
		

Crossrefs

Diagonal sums : 1, 0, 1, 2, 6, 18, 57, 186, 622, 2120, ... see A000957.