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%I #2 Mar 30 2012 18:59:13
%S 1,2,-1,2,-3,1,2,-3,3,-1,0,0,2,-3,1,-2,3,-1,-2,3,-1,0,0,0,0,2,-3,1,2,
%T -3,3,-1,0,-2,3,-1,0,0,0,0,0,0,2,-3,1,0,0,-2,3,-1,0,0,-2,3,-1,0,0,0,0,
%U 0,0,0,0,2,-3,1,-2,3,-1,-2,3,-1,0,0,0,-2,3,-1,0,0,0,0,0,0,0,0,0,0,2,-3,1
%N A Fredholm-Rueppel related triangle.
%C Inverse of A115450. Row sums are Fredholm-Rueppel sequence A036987.
%F Inverse of (1/((1-x)(1-2x)), -x)-(x/((1-x)(1-2x)), -x^2) (expressed in the notation of Riordan arrays).
%e Triangle begins
%e 1,
%e 2, -1,
%e 2, -3, 1,
%e 2, -3, 3, -1,
%e 0, 0, 2, -3, 1,
%e -2, 3, -1, -2, 3, -1,
%e 0, 0, 0, 0, 2, -3, 1,
%e 2, -3, 3, -1, 0, -2, 3, -1,
%e 0, 0, 0, 0, 0, 0, 2, -3, 1,
%e 0, 0, -2, 3, -1, 0, 0, -2, 3, -1,
%e 0, 0, 0, 0, 0, 0, 0, 0, 2, -3, 1,
%e -2, 3, -1, -2, 3, -1, 0, 0, 0, -2, 3, -1,
%e 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -3, 1
%K sign,tabl
%O 0,2
%A _Paul Barry_, Jan 22 2006
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