

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.


0



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
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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: A212438 A112790 A179835 * A108867 A218604 A095767
Adjacent sequences: A110854 A110855 A110856 * A110858 A110859 A110860


KEYWORD

nonn,tabl


AUTHOR

Philippe Deléham, Sep 17 2005


STATUS

approved



