A074563 a(n) = 4^n + 5^n + 8^n.

3, 17, 105, 701, 4977, 36917, 281865, 2191661, 17233377, 136432997, 1084556025, 8642957021, 68980394577, 551043625877, 4404418462185, 35215963408781, 281631859568577, 2252579933007557, 18018281926224345, 144134536440090941

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (17,-92,160).

Formula

From Mohammad K. Azarian, Dec 30 2008: (Start)

G.f.: 1/(1-4*x) + 1/(1-5*x) + 1/(1-8*x).

E.g.f.: exp(4*x) + exp(5*x) + exp(8*x). (End)

Mathematica

Table[4^n + 5^n + 8^n, {n, 0, 20}]

Prog

(Magma) [4^n + 5^n + 8^n: n in [0..20]]; // Vincenzo Librandi, Aug 25 2011
(PARI) vector(20, n, n--; 4^n + 5^n + 8^n) \\ G. C. Greubel, Nov 09 2018

Crossrefs

Cf. A001550, A001576, A034513, A001579, A074501 - A074580.

Sequence in context: A036551 A162479 A194780 * A077145 A299039 A123772

Adjacent sequences: A074560 A074561 A074562 * A074564 A074565 A074566

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved