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A074556 3^n + 6^n + 8^n. 1
3, 17, 109, 755, 5473, 40787, 309529, 2379275, 18463393, 144315107, 1134267049, 8952908795, 70896790513, 562818102227, 4476415458169, 35654571422315, 284296129664833, 2268726602270147, 18115958853570889, 144724548978127835 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (17,-90,144).

FORMULA

G.f.: 1/(1-3*x)+1/(1-6*x)+1/(1-8*x). E.g.f.: e^(3*x)+e^(6*x)+e^(8*x). [From Mohammad K. Azarian, Dec 30 2008]

a(0)=3, a(1)=17, a(2)=109, a(n)=17*a(n-1)-90*a(n-2)+144*a(n-3) [From Harvey P. Dale, May 19 2011]

MATHEMATICA

Table[3^n + 6^n + 8^n, {n, 0, 20}]

LinearRecurrence[{17, -90, 144}, {3, 17, 109}, 21] (* Harvey P. Dale, May 19 2011 *)

PROG

(MAGMA) [3^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: A123772 A212524 A103730 * A215048 A119259 A249921

Adjacent sequences:  A074553 A074554 A074555 * A074557 A074558 A074559

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v, Aug 23 2002

STATUS

approved

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Last modified November 26 03:41 EST 2014. Contains 250017 sequences.