A212248 - OEIS

%I #19 Jul 09 2012 17:46:50

%S 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,

%T -21,0,-15,5,-10,-9,9,50,-105,0,-62,-19,-18,-54,-9,-50,267,-141,0,-56,

%U -119,42,-126,-63,50,-267

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

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

%F 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.

%e First few rows of the triangle are:

%e 1;

%e -1, 1;

%e 0, -1, 0;

%e 1, -1, 0, -1;

%e 1, 1, 0, 1, -1;

%e -2, 5, 0, 3, 1, 2;

%e -9, 5, 0, 2, 4, -2, 9;

%e -9, -21, 0, -15, 5, -10, -9, 9

%e 50, -105, 0, -62, -19, -18, -54, -9, -50;

%e 267, -141, -301, -56, -119, 42, -126, -63, 50, -267;

%e 413, 777, 0, 566, -226, 396, 180, -180, 400, 267, -413;

%e ...

%Y Cf. A000587.

%K tabl,sign

%O 0,16

%A _Gary W. Adamson_, Jun 27 2012