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A074551 a(n) = 3^n + 4^n + 9^n. 1
3, 16, 106, 820, 6898, 60316, 536266, 4801540, 43118818, 387702316, 3487892026, 31385431060, 282446845138, 2541934531516, 22877065673386, 205892220185380, 1853024526865858, 16677199008675916, 150094704403896346 (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 (16,-75,108).

FORMULA

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

G.f.: 1/(1-3*x) + 1/(1-4*x) + 1/(1-9*x).

E.g.f.: exp(3*x) + exp(4*x) + exp(9*x). (End)

a(n) = 16*a(n-1) - 75*a(n-2) + 108*a(n-3).

MATHEMATICA

Table[3^n + 4^n + 9^n, {n, 0, 20}]

PROG

(MAGMA) [3^n + 4^n + 9^n: n in [0..30]]; // Vincenzo Librandi, Jun 13 2011

CROSSREFS

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

Sequence in context: A014304 A063548 A157452 * A135074 A292752 A220379

Adjacent sequences:  A074548 A074549 A074550 * A074552 A074553 A074554

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v, Aug 23 2002

STATUS

approved

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Last modified February 18 02:57 EST 2020. Contains 332006 sequences. (Running on oeis4.)