A144221 Triangle read by rows, A118433 * A007318^(-1) * A000012

1, -1, -1, 1, 1, -1, -1, 5, -1, 1, 5, -11, 1, 1, 1, 9, -11, -11, 9, -1, -1, -9, -9, 51, -29, 1, 1, -1, -1, -57, 111, -29, -29, 13, -1, 1, -15, 113, -111, -111, 169, -55, 1, 1, 1, -31, 113, 113, -559, 449, -55, -55, 17, -1

Offset

0,8

Comments

Row sums = (1, 0, 1, 2, -3, -4, 5, 6, -7, -8,...).

Links

Table of n, a(n) for n=0..53.

Formula

Triangle read by rows, A118433 * A007318^(-1) * A000012.

A118433 = the self-inverse triangle. A007318^(-1) = the inverse of Pascal's triangle and A000012 = an infinite lower triangular matrix with all 1's.

Example

First few rows of the triangle =
1;
1, -1;
-1, 1, 1;
-1, -1, 5, -1;
1, 5, -11, 1, 1;
1, 9, -11, -11, 9, -1;
-1, -9, -9, 51, -29, 1, 1
-1, -1, -57, 111, -29, -29, 13, -1;
1, -15, 113, -111, -111, 169, -55, 1, 1;
...

Crossrefs

A118433

Sequence in context: A152717 A071856 A242133 * A379519 A209575 A159570

Adjacent sequences: A144218 A144219 A144220 * A144222 A144223 A144224

Keyword

tabl,sign

Author

Gary W. Adamson, Sep 14 2008

Status

approved