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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
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 (list; table; graph; listen)
OFFSET

0,12

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: A037864 A034852 A112790 this_sequence A108867 A095767 A071446

Adjacent sequences: A110854 A110855 A110856 this_sequence A110858 A110859 A110860

KEYWORD

sign,tabl

AUTHOR

Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 17 2005

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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