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

0, 1, 8, 20, 43, 82, 148, 257, 436, 728, 1203, 1974, 3224, 5249, 8528, 13836, 22427, 36330, 58828, 95233, 154140, 249456, 403683, 653230, 1057008, 1710337, 2767448, 4477892, 7245451, 11723458, 18969028, 30692609, 49661764, 80354504, 130016403

Offset

0,3

Comments

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.

Links

Table of n, a(n) for n=0..34.

Formula

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

Mathematica

(See A192752.)

Crossrefs

Cf. A192232, A192744, A192753.

Sequence in context: A273175 A318071 A308904 * A121307 A338471 A086169

Adjacent sequences: A192750 A192751 A192752 * A192754 A192755 A192756

Keyword

nonn

Author

Clark Kimberling, Jul 09 2011

Status

approved