login
Triangle read by rows, A118433 (the self-inverse triangle) * A000012^(-1).
0

%I #5 Jan 13 2022 01:37:04

%S 1,2,-1,-3,1,1,-4,0,4,-1,5,2,-10,3,1,6,5,-20,5,6,-1,-7,-9,35,5,-21,5,

%T 1,-8,-14,56,0,-56,14,8,-1,9,20,-84,-14,126,-28,-36,7,1,10,27,-120,

%U -42,252,-42,-120,27,10,-1,-11,-35,165,90,-462,42,330,-75,-55,9,1

%N Triangle read by rows, A118433 (the self-inverse triangle) * A000012^(-1).

%C Row sums = (1, 1, -1, -1, 1, 1, ...).

%F A118433 * A000012^(-1), where A000012^(-1) is an infinite lower triangular matrix with 1's in the main diagonal and (-1)'s in the subdiagonal, with the rest zeros.

%e First few rows of the triangle:

%e 1;

%e 2, -1;

%e 3, 1, 1;

%e -4, 0, 4, -1

%e 5, 2, -10, 3, 1;

%e 6, 5, -20, 5, 6, -1;

%e -7, -9, 35, -5, -21, 5, 1;

%e -8, -14, 56, 0, -56, 14, 8, -1;

%e 9, 20, -84, -14, 126, -28, -36, 7, 1;

%e 10, 27, -120, -42, 252, -42, -120, 27, 10, -1;

%e ...

%Y Cf. A118433.

%K tabl,sign

%O 0,2

%A _Gary W. Adamson_, Sep 14 2008