A128256 A004736(signed) * A007318.

1, -1, 1, 2, 0, 1, -2, 2, 1, 1, 3, 0, 3, 2, 1, -3, 3, 3, 5, 3, 1, 4, 0, 6, 8, 8, 4, 1, -4, 4, 6, 14, 16, 12, 5, 1, 5, 0, 10, 20, 30, 28, 17, 6, 1, -5, 5, 10, 30, 50, 58, 45, 23, 7, 1

Offset

1,4

Comments

Row sums = A053088: (1, 0, 3, 2, 9, 12, 31, 54, 117,...)

Links

Table of n, a(n) for n=1..55.

Formula

A004736(with alternate signs: (1; -2,1; 3,-2,1;...) * A007318, Pascal's triangle.

Example

First few rows of the triangle are:
1;
-1, 1;
2, 0, 1;
-2, 2, 1, 1;
3, 0, 3, 2, 1;
-3, 3, 3, 5, 3, 1;
4, 0, 6, 8, 8, 4, 1;
-4, 4, 6, 14, 16, 12, 5, 1;
5, 0, 10, 10, 30, 28, 17, 6, 1;
...

Crossrefs

Cf. A004736, A007318, A053088.

Sequence in context: A229204 A067460 A159855 * A279009 A279008 A302567

Adjacent sequences: A128253 A128254 A128255 * A128257 A128258 A128259

Keyword

tabl,sign

Author

Gary W. Adamson, Feb 21 2007

Status

approved