A212248 Triangle by rows relating to the Rao Uppulari-Carpenter sequence A000587.

1, -1, 1, 0, -1, 0, 1, -1, 0, -1, 1, 1, 0, 1, -1, -2, 5, 0, 3, 1, 2, -9, 5, 0, 2, 4, -2, 9, -9, -21, 0, -15, 5, -10, -9, 9, 50, -105, 0, -62, -19, -18, -54, -9, -50, 267, -141, 0, -56, -119, 42, -126, -63, 50, -267

Offset: 0

Author

Gary W. Adamson, Jun 27 2012

Keywords

• tabl
• sign

Comments

Left border = A000587. Right border and row sums are variants by shifting and/or sign changes of A000587.

Examples

			First few rows of the triangle are:
1;
-1, 1;
0, -1, 0;
1, -1, 0, -1;
1, 1, 0, 1, -1;
-2, 5, 0, 3, 1, 2;
-9, 5, 0, 2, 4, -2, 9;
-9, -21, 0, -15, 5, -10, -9, 9
50, -105, 0, -62, -19, -18, -54, -9, -50;
267, -141, -301, -56, -119, 42, -126, -63, 50, -267;
413, 777, 0, 566, -226, 396, 180, -180, 400, 267, -413;
...
		

Crossrefs

Cf. A000587.

Formula

Triangle A213953 as an infinite lower triangular matrix * triangle A. Triangle A is composed of a diagonalized variant of the Rao Uppuluri-Carpenter sequence: (1, 1, 0, -1, -1, 2, 9, 9, -50, -267,...) as the main diagonal and the rest zeros.