A144796 Expansion of x(5+215x-1253x^2-23x^3)/((1+34x+x^2)(1-34x+x^2)).

5, 215, 4517, 248087, 5212613, 286292183, 6015350885, 330380931095, 6941709708677, 381259308191447, 8010726988462373, 439972911271998743, 9244372002975869765, 507728358348578357975, 10667997280707165246437

Offset

1,1

Comments

The original definition "Numbers n such that (n^2-17)/2 is a square" describes A077242. - R. J. Mathar, Nov 27 2011

Links

Table of n, a(n) for n=1..15.

Index entries for linear recurrences with constant coefficients, signature (0,1154,0,-1).

Formula

a(n) = 1154*a(n-2) - a(n-4).

Mathematica

Rest[CoefficientList[Series[x (5+215x-1253x^2-23x^3)/((1+34x+x^2)(1-34x+x^2)), {x, 0, 30}], x]] (* or *) LinearRecurrence[{0, 1154, 0, -1}, {5, 215, 4517, 248087}, 30] (* Harvey P. Dale, Apr 04 2014 *)

Prog

(PARI) Vec(x(5+215*x-1253*x^2-23*x^3)/((1+34*x+x^2)*(1-34*x+x^2))+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012

Crossrefs

Sequence in context: A330428 A048433 A270870 * A269823 A206457 A291806

Adjacent sequences: A144793 A144794 A144795 * A144797 A144798 A144799

Keyword

nonn,easy

Author

Richard Choulet, Sep 21 2008

Status

approved