%I A144220
%S A144220 1,2,1,3,1,1,4,0,4,1,5,2,10,3,1,6,5,20,5,6,1,7,9,35,5,21,5,1,
%T A144220 8,14,56,0,56,14,8,1,9,20,84,14,126,28,36,7,1,10,27,120,42,
%U A144220 252,42,120,27,10,1,11,35,165,90,462,42,330,75,55,9,1
%V A144220 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,-21,5,1,
%W A144220 -8,-14,56,0,-56,14,8,-1,9,20,-84,-14,126,-28,-36,7,1,10,27,-120,-42,
%X A144220 252,-42,-120,27,10,-1,-11,-35,165,90,-462,42,330,-75,-55,9,1
%N A144220 Triangle read by rows, A118433 (the self-inverse triangle) * A000012^(-1).
%C A144220 Row sums = (1, 1, -1, -1, 1, 1,...).
%F A144220 A118433 * A000012^(-1), where A000012^(-1) = an infinite lower triangular 
               matrix with 1's in the main diagonal and (-1)'s in the sub diagonal, 
               with the rest zeros.
%e A144220 First few rows of the triangle =
%e A144220 1;
%e A144220 2, -1;
%e A144220 3, 1, 1;
%e A144220 -4, 0, 4, -1
%e A144220 5, 2, -10, 3, 1;
%e A144220 6, 5, -20, 5, 6, -1;
%e A144220 -7, -9, 35, -5, -21, 5, 1;
%e A144220 -8, -14, 56, 0, -56, 14, 8, -1;
%e A144220 9, 20, -84, -14, 126, -28, -36, 7, 1;
%e A144220 10, 27, -120, -42, 252, -42, -120, 27, 10, -1;
%e A144220 ...
%Y A144220 A118433
%Y A144220 Sequence in context: A065371 A006346 A088742 this_sequence A156826 A130296 
               A126705
%Y A144220 Adjacent sequences: A144217 A144218 A144219 this_sequence A144221 A144222 
               A144223
%K A144220 tabl,sign
%O A144220 0,2
%A A144220 Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 14 2008