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A192358 Coefficients of x in the reduction of the polynomial p(n,x)=(1/2)((x+3)^n+(x-3)^n) by x^2->x+1. 1
0, 1, 1, 29, 57, 590, 1628, 11731, 39459, 236797, 899155, 4863068, 19903896, 101199149, 433857437, 2124952045, 9374498133, 44879983186, 201514230964, 951385817327, 4318344961935, 20214336758573, 92366228744351, 430111736709904 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

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

LINKS

Table of n, a(n) for n=1..24.

FORMULA

Conjecture: a(n) = 2*a(n-1)+19*a(n-2)-20*a(n-3)-55*a(n-4). G.f.: x^2*(8*x^2-x+1)/((5*x^2+5*x+1)*(11*x^2-7*x+1)). [Colin Barker, Nov 22 2012]

MATHEMATICA

(See A192357.)

CROSSREFS

Cf. A192232, A192357.

Sequence in context: A049743 A339865 A033915 * A123848 A340669 A040812

Adjacent sequences:  A192355 A192356 A192357 * A192359 A192360 A192361

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jun 29 2011

STATUS

approved

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Last modified October 26 02:14 EDT 2021. Contains 348256 sequences. (Running on oeis4.)