A074516 a(n) = 1^n + 5^n + 6^n.

3, 12, 62, 342, 1922, 10902, 62282, 358062, 2070242, 12030822, 70231802, 411625182, 2420922962, 14281397142, 84467679722, 500702562702, 2973697798082, 17689598897862, 105374653934042, 628433226338622

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (12,-41,30).

Formula

G.f.: 1/(1-x)+1/(1-5*x)+1/(1-6*x). E.g.f.: e^x+e^(5*x)+e^(6*x). [Mohammad K. Azarian, Dec 26 2008]

a(n) = 11*a(n-1) - 30*a(n-2) + 20, n>1. [Gary Detlefs, Jun 21 2010]

Maple

A074516:=n->1^n+5^n+6^n: seq(A074516(n), n=0..30); # Wesley Ivan Hurt, Jan 27 2017

Mathematica

Table[1^n + 5^n + 6^n, {n, 0, 20}]
LinearRecurrence[{12, -41, 30}, {3, 12, 62}, 20] (* Harvey P. Dale, Apr 06 2018 *)

Prog

(Magma) [5^n+6^n+1^n: n in [0..30]]; // Vincenzo Librandi, Mar 24 2013

Crossrefs

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

Sequence in context: A038171 A258798 A369709 * A045740 A187820 A074529

Adjacent sequences: A074513 A074514 A074515 * A074517 A074518 A074519

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved