A144955 Binomial transform of a modified version of A026729

1, 2, 0, 3, 1, 0, 4, 4, 1, 0, 5, 10, 6, 1, 0, 6, 20, 21, 8, 1, 0, 7, 35, 56, 36, 10, 1, 0, 8, 56, 126, 120, 55, 12, 1, 9, 84, 252, 330, 220, 78, 14, 1, 10, 120, 462, 792, 715, 364, 105, 16, 1, 11, 165, 792, 1716, 2002, 1365, 560, 136, 18, 1

Offset

0,2

Comments

Row sums = A055588: (1, 2, 4, 9, 22, 56, 145,...).

Links

Table of n, a(n) for n=0..61.

Formula

Triangle A026729 is shifted one place down, with a (1, 1, 0, 0, 0...) in the first column; getting:

1;

1, 0;

0, 1, 0;

0, 1, 1, 0;

0, 0, 2, 1, 0;

0, 0, 1, 3, 1, 0;

...

A144955 = A007318 * the modified triangle.

Example

First few rows of the triangle =
1;
2, 0;
3, 1, 0;
4, 4, 1, 0;
5, 10, 6, 1, 0;
6, 20, 21, 8, 1, 0;
7, 35, 56, 36, 10, 1, 0;
8, 56, 126, 120, 55, 12, 1, 0;
...

Crossrefs

A026729, Cf. A055588

Sequence in context: A074650 A284871 A202064 * A225624 A168020 A321878

Adjacent sequences: A144952 A144953 A144954 * A144956 A144957 A144958

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 27 2008

Status

approved