A074531 a(n) = 2^n + 3^n + 9^n.

3, 14, 94, 764, 6658, 59324, 532234, 4785284, 43053538, 387440684, 3486844474, 31381238804, 282430072018, 2541867430844, 22876797254314, 205891146476324, 1853020231964098, 16677181828937804, 150094635684681754

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (14,-51,54).

Formula

From Mohammad K. Azarian, Dec 27 2008: (Start)

G.f.: 1/(1-2*x) + 1/(1-3*x) + 1/(1-9*x).

E.g.f.: exp(2*x) + exp(3*x) + exp(9*x). (End)

Mathematica

Table[2^n + 3^n + 9^n, {n, 0, 20}]
LinearRecurrence[{14, -51, 54}, {3, 14, 94}, 20] (* Harvey P. Dale, Nov 29 2019 *)

Prog

(Magma) [2^n + 3^n + 9^n: n in [0..25]]; // Vincenzo Librandi, Jun 11 2011

Crossrefs

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

Sequence in context: A088342 A358118 A364629 * A091906 A214378 A094369

Adjacent sequences: A074528 A074529 A074530 * A074532 A074533 A074534

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved