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A074572
a(n) = 5^n + 6^n + 8^n.
1
3, 19, 125, 853, 6017, 43669, 324425, 2455213, 18847457, 146248549, 1143973625, 9001559773, 71140399697, 564037211029, 4482514190825, 35685074651533, 284448674508737, 2269489412583109, 18119773163416025, 144743621302194493
OFFSET
0,1
FORMULA
From Mohammad K. Azarian, Dec 30 2008: (Start)
G.f.: 1/(1-5*x) + 1/(1-6*x) + 1/(1-8*x).
E.g.f.: e^(5*x) + e^(6*x) + e^(8*x). (End)
a(n) = 19*a(n-1)-118*a(n-2)+240*a(n-3). - Wesley Ivan Hurt, Apr 26 2021
MATHEMATICA
Table[5^n + 6^n + 8^n, {n, 0, 20}]
PROG
(Magma) [5^n + 6^n + 8^n: n in [0..20]]; // Vincenzo Librandi, May 20 2011
KEYWORD
easy,nonn
AUTHOR
Robert G. Wilson v, Aug 23 2002
STATUS
approved