A074529 a(n) = 2^n + 3^n + 7^n.

3, 12, 62, 378, 2498, 17082, 118442, 825858, 5771618, 40373802, 282535322, 1977505938, 13841822738, 96890612922, 678227872202, 4747575891618, 33232973681858, 232630643258442, 1628413985593082, 11398896348158898

Offset: 0

Author

Robert G. Wilson v, Aug 23 2002

Keywords

• easy
• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..200
• Index entries for linear recurrences with constant coefficients, signature (12,-41,42).

Crossrefs

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

Programs

Magma

[2^n + 3^n + 7^n: n in [0..25]]; // Vincenzo Librandi, Jun 11 2011

Mathematica

Table[2^n + 3^n + 7^n, {n, 0, 20}]
LinearRecurrence[{12,-41,42},{3,12,62},20] (* Harvey P. Dale, Mar 29 2020 *)

Formula

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

G.f.: 1/(1-2*x) + 1/(1-3*x) + 1/(1-7*x).

E.g.f.: exp(2*x) + exp(3*x) + exp(7*x). (End)