A134504 a(n) = Fibonacci(7n + 6).

8, 233, 6765, 196418, 5702887, 165580141, 4807526976, 139583862445, 4052739537881, 117669030460994, 3416454622906707, 99194853094755497, 2880067194370816120, 83621143489848422977, 2427893228399975082453

Offset

0,1

Links

Table of n, a(n) for n=0..14.

Index entries for linear recurrences with constant coefficients, signature (29,1).

Formula

G.f.: (-8-x) / (-1 + 29*x + x^2). - R. J. Mathar, Jul 04 2011

a(n) = A000045(A017053(n)). - Michel Marcus, Nov 08 2013

a(n) = 29*a(n-1) + a(n-2). - Wesley Ivan Hurt, Mar 15 2023

Mathematica

Table[Fibonacci[7n+6], {n, 0, 30}]
LinearRecurrence[{29, 1}, {8, 233}, 20] (* Harvey P. Dale, Jul 21 2021 *)

Prog

(Magma) [Fibonacci(7*n +6): n in [0..100]]; // Vincenzo Librandi, Apr 17 2011
(PARI) a(n)=fibonacci(7*n+6) \\ Charles R Greathouse IV, Jun 11 2015

Crossrefs

Cf. A000045, A001906, A001519, A033887, A015448, A014445, A033888, A033889, A033890, A033891, A102312, A099100, A134490, A134491, A134492, A134493, A134494, A134495, A103134, A134497, A134498, A134499, A134500, A134501, A134502, A134503, A134504.

Sequence in context: A301437 A111836 A288546 * A145418 A240431 A222688

Adjacent sequences: A134501 A134502 A134503 * A134505 A134506 A134507

Keyword

nonn,easy

Author

Artur Jasinski, Oct 28 2007

Extensions

Offset changed from 1 to 0 by Vincenzo Librandi, Apr 17 2011

Status

approved