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A074544 a(n) = 2^n + 7^n + 8^n. 1
3, 17, 117, 863, 6513, 49607, 379857, 2920823, 22542273, 174571847, 1356218097, 10567263383, 82560768033, 646644832487, 5076269600337, 39931933631543, 314707907345793, 2484430327803527, 19642812107654577, 155514083261753303 (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 (17,-86,112).

FORMULA

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

G.f.: 1/(1-2*x) + 1/(1-7*x) + 1/(1-8*x).

E.g.f.: exp(2*x) + exp(7*x) + exp(8*x). (End)

a(n) = 17*a(n-1) - 86*a(n-2) + 112*a(n-3).

MATHEMATICA

Table[2^n + 7^n + 8^n, {n, 0, 20}]

PROG

(MAGMA) [ 2^n + 7^n + 8^n: n in [0..30]]; // Vincenzo Librandi, Jun 13 2011

CROSSREFS

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

Sequence in context: A271611 A112111 A074554 * A165976 A121572 A340993

Adjacent sequences:  A074541 A074542 A074543 * A074545 A074546 A074547

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v, Aug 23 2002

STATUS

approved

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Last modified April 19 21:57 EDT 2021. Contains 343117 sequences. (Running on oeis4.)