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

Author

Gary W. Adamson, Sep 27 2008

Keywords

• nonn
• tabl

Comments

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

Examples

			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

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.