A074558 a(n) = 3^n + 7^n + 8^n.

3, 18, 122, 882, 6578, 49818, 380522, 2922882, 22548578, 174591018, 1356276122, 10567438482, 82561295378, 646646418618, 5076274366922, 39931947947682, 314707950326978, 2484430456812618, 19642812494812922, 155514084423490482

Offset: 0

Author

Robert G. Wilson v, Aug 23 2002

Keywords

• easy
• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (18,-101,168).

Crossrefs

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

Programs

Magma

[3^n + 7^n + 8^n: n in [0..20]]; // Vincenzo Librandi, Aug 24 2011

Mathematica

Table[3^n + 7^n + 8^n, {n, 0, 20}]
LinearRecurrence[{18,-101,168},{3,18,122},20] (* Harvey P. Dale, Jan 21 2024 *)

Formula

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

G.f.: 1/(1-3*x) + 1/(1-7*x) + 1/(1-8*x).

E.g.f.: exp(3*x) + exp(7*x) + exp(8*x). (End)