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%I #2 Mar 30 2012 18:59:27
%S 1,1,1,2,3,1,5,11,6,1,16,45,34,10,1,61,208,197,81,15,1,269,1068,1204,
%T 626,165,21,1,1337,6017,7810,4863,1640,302,28,1,7354,36801,53762,
%U 38742,15781,3760,511,36,1,44155,242242,391797,319197,151487,43962,7805,814
%N Inverse of 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 A178124. First column is A178123.
%e Triangle begins
%e 1,
%e 1, 1,
%e 2, 3, 1,
%e 5, 11, 6, 1,
%e 16, 45, 34, 10, 1,
%e 61, 208, 197, 81, 15, 1,
%e 269, 1068, 1204, 626, 165, 21, 1,
%e 1337, 6017, 7810, 4863, 1640, 302, 28, 1,
%e 7354, 36801, 53762, 38742, 15781, 3760, 511, 36, 1
%e Production matrix 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 nonn,tabl
%O 0,4
%A _Paul Barry_, May 20 2010
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