A074544 a(n) = 2^n + 7^n + 8^n.

3, 17, 117, 863, 6513, 49607, 379857, 2920823, 22542273, 174571847, 1356218097, 10567263383, 82560768033, 646644832487, 5076269600337, 39931933631543, 314707907345793, 2484430327803527, 19642812107654577, 155514083261753303

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: A365856 A074554 A367945 * A165976 A368965 A344553

Adjacent sequences: A074541 A074542 A074543 * A074545 A074546 A074547

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved