A074564 a(n) = 4^n + 5^n + 9^n.

3, 18, 122, 918, 7442, 63198, 551162, 4877478, 43502882, 389635758, 3497598602, 31434082038, 282690454322, 2543153640318, 22883164406042, 205922723414598, 1853177071709762, 16677961818988878, 150098518713741482

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (18,-101,180).

Formula

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

G.f.: 1/(1-4*x) + 1/(1-5*x) + 1/(1-9*x).

E.g.f.: exp(4*x) + exp(5*x) + exp(9*x). (End)

Mathematica

Table[4^n + 5^n + 9^n, {n, 0, 20}]

Prog

(Magma) [4^n + 5^n + 9^n: n in [0..20]]; // Vincenzo Librandi, Aug 25 2011

Crossrefs

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

Sequence in context: A127188 A355048 A074558 * A108241 A342710 A199421

Adjacent sequences: A074561 A074562 A074563 * A074565 A074566 A074567

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved