A120465 a(0)=1, a(1)=36, a(n)=204*a(n-2).

1, 36, 204, 7344, 41616, 1498176, 8489664, 305627904, 1731891456, 62348092416, 353305857024, 12719010852864, 72074394832896, 2594678213984256, 14703176545910784, 529314355652788224, 2999448015365799936, 107980128553168797696, 611887395134623186944, 22027946224846434729984

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (0,204).

Formula

G.f.: (36x+1)/(1-204x^2). - Harvey P. Dale, Nov 14 2021

E.g.f.: cosh(2*sqrt(51)*x) + 6*sqrt(3/17)*sinh(2*sqrt(51)*x). - Stefano Spezia, Sep 02 2025

Mathematica

LinearRecurrence[{0, 204}, {1, 36}, 20] (* Harvey P. Dale, Nov 14 2021 *)

Prog

(PARI) Vec((1+36*x)/(1-204*x^2)+O(x^66))

Crossrefs

Sequence in context: A017138 A339981 A304378 * A361209 A144523 A387547

Adjacent sequences: A120462 A120463 A120464 * A120466 A120467 A120468

Keyword

nonn,easy

Author

Roger L. Bagula, Jul 02 2006

Extensions

Edited by N. J. A. Sloane, Dec 04 2006

More terms from Michel Marcus, Sep 03 2025

Status

approved