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.

A192753 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 A192753 #7 May 04 2014 17:30:42
%S A192753 0,1,8,20,43,82,148,257,436,728,1203,1974,3224,5249,8528,13836,22427,
%T A192753 36330,58828,95233,154140,249456,403683,653230,1057008,1710337,
%U A192753 2767448,4477892,7245451,11723458,18969028,30692609,49661764,80354504,130016403
%N A192753 Coefficient of x in the reduction by x^2->x+1 of the polynomial p(n,x) defined below in Comments.
%C A192753 The titular polynomial is defined recursively by p(n,x)=x*(n-1,x)+4n+3 for n>0, where p(0,x)=1.  For discussions of polynomial reduction, see A192232 and A192744.
%F A192753 Conjecture: G.f.: x*(-1-5*x+2*x^2) / ( (x^2+x-1)*(x-1)^2 ), with first differences in A192752. - _R. J. Mathar_, May 04 2014
%t A192753 (See A192752.)
%Y A192753 Cf. A192232, A192744, A192753.
%K A192753 nonn
%O A192753 0,3
%A A192753 _Clark Kimberling_, Jul 09 2011