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%I #2 Mar 30 2012 18:59:27
%S 1,0,1,1,0,1,0,4,0,1,4,0,9,0,1,0,31,0,16,0,1,31,0,111,0,25,0,1,0,364,
%T 0,286,0,36,0,1,364,0,1794,0,610,0,49,0,1,0,5746,0,6064,0,1149,0,64,0,
%U 1,5746,0,36066,0,16405,0,1981,0,81,0,1,0,113944,0,150901,0,38196,0,3196
%N Inverse of coefficient array of orthogonal polynomials P(n,x)=x*P(n-1,x)-(2n-3)*P(n-2,x), P(0,x)=1,P(1,x)=x.
%C Inverse is A178103. First row is aerated version of A128709.
%e Triangle begins
%e 1,
%e 0, 1,
%e 1, 0, 1,
%e 0, 4, 0, 1,
%e 4, 0, 9, 0, 1,
%e 0, 31, 0, 16, 0, 1,
%e 31, 0, 111, 0, 25, 0, 1,
%e 0, 364, 0, 286, 0, 36, 0, 1,
%e 364, 0, 1794, 0, 610, 0, 49, 0, 1
%e Production matrix is
%e 0, 1,
%e 1, 0, 1,
%e 0, 3, 0, 1,
%e 0, 0, 5, 0, 1,
%e 0, 0, 0, 7, 0, 1,
%e 0, 0, 0, 0, 9, 0, 1,
%e 0, 0, 0, 0, 0, 11, 0, 1,
%e 0, 0, 0, 0, 0, 0, 13, 0, 1,
%e 0, 0, 0, 0, 0, 0, 0, 15, 0, 1
%K nonn,tabl
%O 0,8
%A _Paul Barry_, May 20 2010
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