A074504 a(n) = 1^n + 2^n + 8^n.

3, 11, 69, 521, 4113, 32801, 262209, 2097281, 16777473, 134218241, 1073742849, 8589936641, 68719480833, 549755822081, 4398046527489, 35184372121601, 281474976776193, 2251799813816321, 18014398509744129, 144115188076380161

Offset

0,1

Links

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (11,-26,16).

Formula

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

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

E.g.f.: e^x + e^(2*x) + e^(8*x). (End)

a(n) = 10*a(n-1) - 16*a(n-2) + 7 with a(0)=3, a(1)=11. - Vincenzo Librandi, Jul 21 2010

Mathematica

Table[1^n + 2^n + 8^n, {n, 0, 20}]
LinearRecurrence[{11, -26, 16}, {3, 11, 69}, 20] (* Harvey P. Dale, Oct 17 2020 *)

Crossrefs

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

Sequence in context: A342394 A342370 A345094 * A126115 A342057 A018193

Adjacent sequences: A074501 A074502 A074503 * A074505 A074506 A074507

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved