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A074566
a(n) = 4^n + 6^n + 8^n.
1
3, 18, 116, 792, 5648, 41568, 312896, 2393472, 18522368, 144557568, 1135256576, 8956925952, 70913036288, 562883616768, 4476679110656, 35655630815232, 284300381585408, 2268743652999168, 18116027185627136, 144724822693773312
OFFSET
0,1
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
KEYWORD
easy,nonn
AUTHOR
Robert G. Wilson v, Aug 23 2002
STATUS
approved