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A192753 Coefficient of x in the reduction by x^2->x+1 of the polynomial p(n,x) defined below in Comments. 3

%I #7 May 04 2014 17:30:42

%S 0,1,8,20,43,82,148,257,436,728,1203,1974,3224,5249,8528,13836,22427,

%T 36330,58828,95233,154140,249456,403683,653230,1057008,1710337,

%U 2767448,4477892,7245451,11723458,18969028,30692609,49661764,80354504,130016403

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

%C 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 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 (See A192752.)

%Y Cf. A192232, A192744, A192753.

%K nonn

%O 0,3

%A _Clark Kimberling_, Jul 09 2011

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