A074553 a(n) = 3^n + 5^n + 8^n.

3, 16, 98, 664, 4802, 36136, 278498, 2177464, 17174402, 136190536, 1083566498, 8638939864, 68964148802, 550978111336, 4404154809698, 35214904015864, 281627607648002, 2252562882278536, 18018213594168098, 144134262724445464

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (16,-79,120).

Formula

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

G.f.: 1/(1-3*x) + 1/(1-5*x) + 1/(1-8*x).

E.g.f.: exp(3*x) + exp(5*x) + exp(8*x). (End)

a(n) = 16*a(n-1) - 79*a(n-2) + 120*a(n-3).

Mathematica

Table[3^n + 5^n + 8^n, {n, 0, 20}]

Prog

(Magma) [3^n + 5^n + 8^n: n in [0..30]]; // Vincenzo Librandi, Jun 13 2011

Crossrefs

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

Sequence in context: A228792 A295810 A233203 * A303831 A193037 A363573

Adjacent sequences: A074550 A074551 A074552 * A074554 A074555 A074556

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved