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%I #2 Mar 30 2012 18:59:27
%S 1,-1,1,1,-3,1,0,7,-6,1,-5,-13,26,-10,1,25,11,-101,69,-15,1,-105,76,
%T 383,-425,150,-21,1,460,-758,-1494,2599,-1310,286,-28,1,-2315,5536,
%U 6215,-16761,11129,-3325,497,-36,1,13935,-40769,-27989,118079,-97272,36764
%N Coefficient array of orthogonal polynomials P(n,x)=(x-n)*P(n-1,x)-(2n-3)*P(n-2,x), P(0,x)=1,P(1,x)=x-1.
%C Inverse is A178125.
%e Triangle begins
%e 1,
%e -1, 1,
%e 1, -3, 1,
%e 0, 7, -6, 1,
%e -5, -13, 26, -10, 1,
%e 25, 11, -101, 69, -15, 1,
%e -105, 76, 383, -425, 150, -21, 1,
%e 460, -758, -1494, 2599, -1310, 286, -28, 1,
%e -2315, 5536, 6215, -16761, 11129, -3325, 497, -36, 1
%e Production matrix of inverse is
%e 1, 1,
%e 1, 2, 1,
%e 0, 3, 3, 1,
%e 0, 0, 5, 4, 1,
%e 0, 0, 0, 7, 5, 1,
%e 0, 0, 0, 0, 9, 6, 1,
%e 0, 0, 0, 0, 0, 11, 7, 1,
%e 0, 0, 0, 0, 0, 0, 13, 8, 1,
%e 0, 0, 0, 0, 0, 0, 0, 15, 9, 1
%K sign,tabl
%O 0,5
%A _Paul Barry_, May 20 2010
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