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

0,12

Links

Table of n, a(n) for n=0..65.

Example

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.

Sequence in context: A112790 A329922 A179835 * A108867 A218604 A095767

Adjacent sequences: A110854 A110855 A110856 * A110858 A110859 A110860

Keyword

nonn,tabl

Author

Philippe Deléham, Sep 17 2005

Status

approved