cp's OEIS Frontend

A185996 Coefficient array of orthogonal polynomials P(n,x)=(x-2n+2)*P(n-1,x)-(2n-3)*P(n-2,x), P(0,x)=1, P(1,x)=x-1.

%I A185996 #12 Apr 02 2019 05:42:12
%S A185996 1,-1,1,1,-3,1,-1,10,-7,1,1,-46,47,-13,1,-1,299,-373,144,-21,1,1,
%T A185996 -2577,3606,-1696,345,-31,1,-1,27636,-41746,22374,-5605,706,-43,1,1,
%U A185996 -353404,565202,-332934,96359,-15086,1295,-57,1,-1,5239925,-8770446,5556536,-1790603,327145,-35161,2192,-73,1,1,-88310783,153499519,-103128216,36149287,-7422751,938028,-73648,3489,-91,1
%N A185996 Coefficient array of orthogonal polynomials P(n,x)=(x-2n+2)*P(n-1,x)-(2n-3)*P(n-2,x), P(0,x)=1, P(1,x)=x-1.
%H A185996 E. Deutsch, L. Ferrari and S. Rinaldi, <a href="https://doi.org/10.1016/j.aam.2004.05.002">Production Matrices</a>, Advances in Applied Mathematics, 34 (2005) pp. 101-122.
%e A185996 Triangle begins
%e A185996    1,
%e A185996   -1, 1,
%e A185996    1, -3, 1,
%e A185996   -1, 10, -7, 1,
%e A185996    1, -46, 47, -13, 1,
%e A185996   -1, 299, -373, 144, -21, 1,
%e A185996    1, -2577, 3606, -1696, 345, -31, 1,
%e A185996   -1, 27636, -41746, 22374, -5605, 706, -43, 1,
%e A185996    1, -353404, 565202, -332934, 96359, -15086, 1295, -57, 1,
%e A185996   -1, 5239925, -8770446, 5556536, -1790603, 327145, -35161, 2192, -73, 1
%e A185996 Production matrix of inverse begins
%e A185996   1, 1,
%e A185996   1, 2, 1,
%e A185996   0, 3, 4, 1,
%e A185996   0, 0, 5, 6, 1,
%e A185996   0, 0, 0, 7, 8, 1,
%e A185996   0, 0, 0, 0, 9, 10, 1,
%e A185996   0, 0, 0, 0, 0, 11, 12, 1,
%e A185996   0, 0, 0, 0, 0, 0, 13, 14, 1,
%e A185996   0, 0, 0, 0, 0, 0, 0, 15, 16, 1
%Y A185996 Cf. A178120.
%Y A185996 Inverse is A185997.
%K A185996 sign,easy,tabl
%O A185996 0,5
%A A185996 _Paul Barry_, Feb 08 2011