A074572 a(n) = 5^n + 6^n + 8^n.

3, 19, 125, 853, 6017, 43669, 324425, 2455213, 18847457, 146248549, 1143973625, 9001559773, 71140399697, 564037211029, 4482514190825, 35685074651533, 284448674508737, 2269489412583109, 18119773163416025, 144743621302194493

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..300

Index entries for linear recurrences with constant coefficients, signature (19,-118,240).

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

Crossrefs

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

Sequence in context: A327674 A318811 A352299 * A157455 A027308 A295371

Adjacent sequences: A074569 A074570 A074571 * A074573 A074574 A074575

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved