A074517 a(n) = 1^n + 5^n + 7^n.

3, 13, 75, 469, 3027, 19933, 133275, 901669, 6155427, 42306733, 292240875, 2026154869, 14085427827, 98109713533, 684326588475, 4778079088069, 33385518460227, 233393453440333, 1632228295176075, 11417968671701269

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (13,-47,35).

Formula

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

G.f.: 1/(1-x) + 1/(1-5*x) + 1/(1-7*x).

E.g.f.: e^x + e^(5*x)*e^(7*x). (End)

a(n) = 12*a(n-1) - 35*a(n-2) + 24 with a(0)=3, a(1)=13. - Vincenzo Librandi, Jul 21 2010

a(0)=3, a(1)=13, a(2)=75, a(n) = 13*a(n-1) - 47*a(n-2) + 35*a(n-3). - Harvey P. Dale, Apr 15 2015

Mathematica

Table[1^n + 5^n + 7^n, {n, 0, 20}]
LinearRecurrence[{13, -47, 35}, {3, 13, 75}, 30] (* Harvey P. Dale, Apr 15 2015 *)

Crossrefs

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

Sequence in context: A110193 A038762 A276894 * A251658 A330047 A334637

Adjacent sequences: A074514 A074515 A074516 * A074518 A074519 A074520

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved