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

0, 1, 6, 15, 32, 61, 110, 191, 324, 541, 894, 1467, 2396, 3901, 6338, 10283, 16668, 27001, 43722, 70779, 114560, 185401, 300026, 485495, 785592, 1271161, 2056830, 3328071, 5384984, 8713141, 14098214, 22811447, 36909756, 59721301, 96631158

Offset

1,3

Comments

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.

Links

Table of n, a(n) for n=1..35.

Formula

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

Mathematica

(See A192746.)

Crossrefs

Cf. A192744, A192232, A192746.

Sequence in context: A273427 A273764 A273853 * A231264 A121666 A186829

Adjacent sequences: A192744 A192745 A192746 * A192748 A192749 A192750

Keyword

nonn

Author

Clark Kimberling, Jul 09 2011

Status

approved