A144221 - OEIS

%I #3 Mar 30 2012 17:25:32

%S 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,

%T 1,1,-1,-1,-57,111,-29,-29,13,-1,1,-15,113,-111,-111,169,-55,1,1,1,

%U -31,113,113,-559,449,-55,-55,17,-1

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

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

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

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

%e First few rows of the triangle =

%e 1;

%e 1, -1;

%e -1, 1, 1;

%e -1, -1, 5, -1;

%e 1, 5, -11, 1, 1;

%e 1, 9, -11, -11, 9, -1;

%e -1, -9, -9, 51, -29, 1, 1

%e -1, -1, -57, 111, -29, -29, 13, -1;

%e 1, -15, 113, -111, -111, 169, -55, 1, 1;

%e ...

%Y A118433

%K tabl,sign

%O 0,8

%A _Gary W. Adamson_, Sep 14 2008