A074526 a(n) = 2^n + 3^n + 4^n.

3, 9, 29, 99, 353, 1299, 4889, 18699, 72353, 282339, 1108649, 4373499, 17312753, 68711379, 273234809, 1088123499, 4338079553, 17309140419, 69107159369, 276040692699, 1102999460753, 4408508961459, 17623571298329

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 (9,-26,24).

Crossrefs

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

Programs

Magma

[2^n + 3^n + 4^n: n in [0..25]]; // Vincenzo Librandi, Jun 11 2011

Mathematica

Table[2^n + 3^n + 4^n, {n, 0, 23}]
LinearRecurrence[{9,-26,24},{3,9,29},30] (* Harvey P. Dale, Jun 14 2022 *)

Formula

From Mohammad K. Azarian, Dec 26 2008: (Start)

G.f.: 1/(1-2*x)+1/(1-3*x)+1/(1-4*x).

E.g.f.: exp(2*x)+exp(3*x)+exp(4*x). (End)