%I #2 Mar 30 2012 18:59:27
%S 1,2,1,5,6,1,16,32,12,1,64,180,109,20,1,308,1111,934,276,30,1,1727,
%T 7554,8095,3352,585,42,1,11008,56228,72884,39006,9580,1100,56,1,78244,
%U 454572,688562,451992,144706,23396,1897,72,1,611060,3962218,6845904,5317440
%N Inverse of coefficient array of orthogonal polynomials P(n,x)=(x-2n)*P(n-1,x)-(2n-3)*P(n-2,x), P(0,x)=1,P(1,x)=x-2.
%C Inverse is A178120. First column is A178119.
%e Triangle begins
%e 1,
%e 2, 1,
%e 5, 6, 1,
%e 16, 32, 12, 1,
%e 64, 180, 109, 20, 1,
%e 308, 1111, 934, 276, 30, 1,
%e 1727, 7554, 8095, 3352, 585, 42, 1,
%e 11008, 56228, 72884, 39006, 9580, 1100, 56, 1,
%e 78244, 454572, 688562, 451992, 144706, 23396, 1897, 72, 1
%e Production matrix is
%e 2, 1,
%e 1, 4, 1,
%e 0, 3, 6, 1,
%e 0, 0, 5, 8, 1,
%e 0, 0, 0, 7, 10, 1,
%e 0, 0, 0, 0, 9, 12, 1,
%e 0, 0, 0, 0, 0, 11, 14, 1,
%e 0, 0, 0, 0, 0, 0, 13, 16, 1,
%e 0, 0, 0, 0, 0, 0, 0, 15, 18, 1
%K nonn,tabl
%O 0,2
%A _Paul Barry_, May 20 2010