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A074548 a(n) = 3^n + 4^n + 6^n. 1
3, 13, 61, 307, 1633, 9043, 51481, 298507, 1751713, 10359523, 61573801, 367168507, 2194090993, 13129397203, 78637382521, 471273075307, 2825447921473, 16943968454083, 101629063565641, 609635780178907 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (13,-54,72).

FORMULA

From Mohammad K. Azarian, Dec 28 2008: (Start)

G.f.: 1/(1-3*x) + 1/(1-4*x) + 1/(1-6*x).

E.g.f.: exp(3*x) + exp(4*x) + exp(6*x). (End)

a(n) = 13*a(n-1) - 54*a(n-2) + 72*a(n-3).

MATHEMATICA

Table[3^n + 4^n + 6^n, {n, 0, 21}]

PROG

(MAGMA) [3^n + 4^n + 6^n: n in [0..30]]; // Vincenzo Librandi, Jun 13 2011

CROSSREFS

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

Sequence in context: A046748 A256333 A200215 * A243014 A258799 A246689

Adjacent sequences:  A074545 A074546 A074547 * A074549 A074550 A074551

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v, Aug 23 2002

STATUS

approved

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Last modified June 12 14:32 EDT 2021. Contains 344957 sequences. (Running on oeis4.)