A074509 a(n) = 1^n + 3^n + 7^n.

3, 11, 59, 371, 2483, 17051, 118379, 825731, 5771363, 40373291, 282534299, 1977503891, 13841818643, 96890604731, 678227855819, 4747575858851, 33232973616323, 232630643127371, 1628413985330939, 11398896347634611

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (11,-31,21).

Formula

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

G.f.: 1/(1-x) + 1/(1-3*x) + 1/(1-7*x).

E.g.f.: e^x + e^(3*x) + e^(7*x). (End)

a(n) = 10*a(n-1) - 21*a(n-2) + 12 with a(0)=3, a(1)=11. - Vincenzo Librandi, Jul 21 2010

Mathematica

Table[1^n + 3^n + 7^n, {n, 0, 20}]
LinearRecurrence[{11, -31, 21}, {3, 11, 59}, 31]  (* Harvey P. Dale, Apr 23 2011 *)

Crossrefs

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

Sequence in context: A028342 A137982 A193364 * A343623 A282705 A282704

Adjacent sequences: A074506 A074507 A074508 * A074510 A074511 A074512

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved