A074580 a(n) = 7^n + 8^n + 9^n.

3, 24, 194, 1584, 13058, 108624, 911234, 7703664, 65588738, 561991824, 4843001474, 41948320944, 364990300418, 3188510652624, 27953062038914, 245823065693424, 2167728096132098, 19161612027339024, 169737447404391554

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (24,-191,504).

Formula

From Mohammad K. Azarian, Dec 26 2008: (Start)

G.f.: 1/(1-7*x) + 1/(1-8*x) + 1/(1-9*x).

E.g.f.: e^(7*x) + e^(8*x) + e^(9*x). (End)

Mathematica

Table[7^n + 8^n + 9^n, {n, 0, 18}]
LinearRecurrence[{24, -191, 504}, {3, 24, 194}, 20] (* Harvey P. Dale, Jun 09 2019 *)

Prog

(Magma) [7^n + 8^n + 9^n: n in [0..20]]; // Vincenzo Librandi, May 20 2011
(PARI) a(n)=7^n+8^n+9^n \\ Charles R Greathouse IV, Jun 10 2011

Crossrefs

Cf. A001550, A001576, A034513, A001579, A074501-A074579.

Sequence in context: A037650 A037769 A037657 * A163473 A063979 A308354

Adjacent sequences: A074577 A074578 A074579 * A074581 A074582 A074583

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved