login
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.
1
0, 1, 1, 14, 27, 165, 428, 2001, 6069, 25042, 82555, 319793, 1101816, 4131009, 14567657, 53697270, 191684283, 700312381, 2515972324, 9149426897, 32981059485, 119645675898, 432046756571, 1565346866889, 5657752486512, 20484930829825
OFFSET
1,4
COMMENTS
For an introduction to reductions of polynomials by substitutions such as x^2->x+1, see A192232.
FORMULA
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]
MATHEMATICA
(See A192353.)
CROSSREFS
Sequence in context: A168596 A275251 A331099 * A215970 A372446 A040182
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jun 29 2011
STATUS
approved