A074530 a(n) = 2^n + 3^n + 8^n.

3, 13, 77, 547, 4193, 33043, 262937, 2099467, 16784033, 134237923, 1073801897, 8590113787, 68720012273, 549757416403, 4398051310457, 35184386470507, 281475019822913, 2251799942956483, 18014398897164617, 144115189238641627

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 (13,-46,48).

Crossrefs

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

Programs

Magma

[2^n + 3^n + 8^n: n in [0..25]]; // Vincenzo Librandi, Jun 11 2011

Mathematica

Table[2^n + 3^n + 8^n, {n, 0, 20}]
LinearRecurrence[{13,-46,48},{3,13,77},20] (* Harvey P. Dale, Aug 04 2025 *)

Formula

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

G.f.: 1/(1-2*x) + 1/(1-3*x) + 1/(1-8*x).

E.g.f.: exp(2*x) + exp(3*x) + exp(8*x). (End)