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%I #3 Mar 30 2012 18:59:14
%S 1,-1,1,0,-2,1,0,3,-2,1,0,0,0,-1,1,0,-6,3,0,-2,1,0,12,-6,0,3,-2,1,0,0,
%T 0,0,0,0,-1,1,0,-24,12,0,-6,3,0,-2,1,0,48,-24,0,12,-6,0,3,-2,1,0,0,0,
%U 0,0,0,0,0,0,-1,1,0,-96,48,0,-24,12,0,-6,3,0,-2,1,0,192,-96,0,48,-24,0,12,-6,0,3,-2,1
%N Inverse of number triangle A117898.
%C Row sums are A117902. Diagonal sums are A117903.
%F G.f.:(2x^6*y^2+x^5*y(2-y)+4x^4(1-y)-x^3(2y^2-3y+4)+x^2*y(y-2)+x(y-1)+1)/((1-4x^3)(1-x^3*y^3))
%e Triangle begins
%e 1,
%e -1, 1,
%e 0, -2, 1,
%e 0, 3, -2, 1,
%e 0, 0, 0, -1, 1,
%e 0, -6, 3, 0, -2, 1,
%e 0, 12, -6, 0, 3, -2, 1,
%e 0, 0, 0, 0, 0, 0, -1, 1,
%e 0, -24, 12, 0, -6, 3, 0, -2, 1,
%e 0, 48, -24, 0, 12, -6, 0, 3, -2, 1
%K easy,sign,tabl
%O 0,5
%A _Paul Barry_, Apr 01 2006