cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A192747 Coefficient of x in the reduction by x^2->x+1 of the polynomial p(n,x) defined below in Comments.

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%I A192747 #6 May 04 2014 16:48:05
%S A192747 0,1,6,15,32,61,110,191,324,541,894,1467,2396,3901,6338,10283,16668,
%T A192747 27001,43722,70779,114560,185401,300026,485495,785592,1271161,2056830,
%U A192747 3328071,5384984,8713141,14098214,22811447,36909756,59721301,96631158
%N A192747 Coefficient of x in the reduction by x^2->x+1 of the polynomial p(n,x) defined below in Comments.
%C A192747 The titular polynomial is defined recursively by p(n,x)=x*(n-1,x)+3n+1 for n>0, where p(0,x)=1.  For discussions of polynomial reduction, see A192232 and A192744.
%F A192747 Conjecture: G.f.: x^2*(-1-3*x+x^2) / ( (x^2+x-1)*(x-1)^2 ), so the first differences are in A192746. - _R. J. Mathar_, May 04 2014
%t A192747 (See A192746.)
%Y A192747 Cf. A192744, A192232, A192746.
%K A192747 nonn
%O A192747 1,3
%A A192747 _Clark Kimberling_, Jul 09 2011