A074566 a(n) = 4^n + 6^n + 8^n.

3, 18, 116, 792, 5648, 41568, 312896, 2393472, 18522368, 144557568, 1135256576, 8956925952, 70913036288, 562883616768, 4476679110656, 35655630815232, 284300381585408, 2268743652999168, 18116027185627136, 144724822693773312

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (18,-104,192).

Formula

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

G.f.: 1/(1-4*x) + 1/(1-6*x) + 1/(1-8*x).

E.g.f.: exp(4*x) + exp(6*x) + exp(8*x). (End)

Mathematica

Table[4^n + 6^n + 8^n, {n, 0, 20}]
LinearRecurrence[{18, -104, 192}, {3, 18, 116}, 20] (* Harvey P. Dale, Oct 16 2023 *)

Prog

(Magma) [4^n + 6^n + 8^n: n in [0..20]]; // Vincenzo Librandi, Aug 25 2011

Crossrefs

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

Sequence in context: A054122 A213230 A201695 * A291076 A113328 A196865

Adjacent sequences: A074563 A074564 A074565 * A074567 A074568 A074569

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved