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%I #11 Jun 13 2015 00:53:55
%S 0,1,3,13,44,122,292,631,1267,2411,4408,7820,13560,23109,38867,64721,
%T 106964,175782,287660,469275,763795,1241071,2014128,3265848,5292144,
%U 8571817,13879587,22468981,36368252,58859186,95251828,154138015
%N Coefficient of x in the reduction by x^2->x+1 of the polynomial p(n,x) defined at Comments.
%C The titular polynomials are defined recursively: p(n,x)=x*p(n-1,x)+1+n^3, with p(0,x)=1. For an introduction to reductions of polynomials by substitutions such as x^2->x+1, see A192232 and A192744.
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (5,-9,6,1,-3,1).
%F a(n)=5*a(n-1)-9*a(n-2)+6*a(n-3)+a(n-4)-3*a(n-5)+a(n-6).
%F G.f.: -x*(7*x^2-2*x+1)/((x-1)^4*(x^2+x-1)). [_Colin Barker_, Nov 12 2012]
%t (See A193008.)
%Y Cf. A192232, A192744, A192951, A193008.
%K nonn,easy
%O 0,3
%A _Clark Kimberling_, Jul 15 2011
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