A192354 - OEIS

A192354

Coefficients of x in the reduction of the polynomial p(n,x)=(1/2)((x+2)^n+(x-2)^n) by x^2->x+1.

%I #9 Sep 12 2012 08:30:36

%S 0,1,1,14,27,165,428,2001,6069,25042,82555,319793,1101816,4131009,

%T 14567657,53697270,191684283,700312381,2515972324,9149426897,

%U 32981059485,119645675898,432046756571,1565346866889,5657752486512,20484930829825

%N Coefficients of x in the reduction of the polynomial p(n,x)=(1/2)((x+2)^n+(x-2)^n) by x^2->x+1.

%C For an introduction to reductions of polynomials by substitutions such as x^2->x+1, see A192232.

%F Empirical G.f.: x^2*(3*x^2-x+1)/((x^2+3*x+1)*(5*x^2-5*x+1)). [_Colin Barker_, Sep 12 2012]

%t (See A192353.)

%Y Cf. A192232, A192353.

%K nonn

%O 1,4

%A _Clark Kimberling_, Jun 29 2011