



1, 2, 1, 3, 3, 1, 4, 7, 4, 1, 5, 14, 10, 5, 1, 6, 25, 20, 16, 6, 7, 41, 35, 41, 21, 7, 8, 63, 56, 91, 56, 29, 8, 1, 9, 92, 84, 182, 126, 92, 36, 9, 1, 10, 129, 120, 336, 252, 246, 120, 46, 10, 1
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OFFSET

1,2


COMMENTS

Row sums = A133124: (1, 3, 7, 16, 35, 74, 153,...).
A133805 = binomial transform of (A133566 * A133080).


LINKS

Table of n, a(n) for n=1..53.


FORMULA

Binomial transform of (A133080 * A133566), where A133080 * A133566 = an infinite lower triangular matrix with (1,1,1,...) in the main and subdiagonals and (0,1,0,1,0,...) in the subsubdiagonal.


EXAMPLE

First few rows of the triangle are:
1;
2, 1;
3, 3, 1;
4, 7, 4, 1;
5, 14, 10, 5, 1;
6, 25, 20, 16, 6, 1;
7, 41, 35, 41, 21, 7, 1;
...


CROSSREFS

Cf. A133080, A133566, A133124.
Sequence in context: A126277 A253273 A055129 * A185943 A208337 A208335
Adjacent sequences: A133801 A133802 A133803 * A133805 A133806 A133807


KEYWORD

nonn,tabl


AUTHOR

Gary W. Adamson, Sep 23 2007


STATUS

approved



