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
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.
Comments