A134501 a(n) = Fibonacci(7n + 3).

2, 55, 1597, 46368, 1346269, 39088169, 1134903170, 32951280099, 956722026041, 27777890035288, 806515533049393, 23416728348467685, 679891637638612258, 19740274219868223167, 573147844013817084101, 16641027750620563662096

Offset: 0

Author

Artur Jasinski, Oct 28 2007

Keywords

• nonn
• easy

Links

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

Crossrefs

Cf. A000045, A001906, A001519, A033887, A015448, A014445, A033888, A033889, A033890, A033891, A102312, A099100, A134490-A134495, A103134, A134497 - A134504.

Programs

Magma

[Fibonacci(7*n+3): n in [0..100]]; // Vincenzo Librandi, Apr 16 2011

Mathematica

Table[Fibonacci[7n+3], {n, 0, 30}]

PARI

a(n)=fibonacci(7*n+3) \\ Charles R Greathouse IV, Jun 11 2015

Formula

From R. J. Mathar, Jul 04 2011: (Start)

G.f.: (-2+3*x) / (-1 + 29*x + x^2).

a(n) = 2*A049667(n+1) - 3*A049667(n). (End)

a(n) = A000045(A017017(n)). - Michel Marcus, Nov 07 2013

Extensions

Offset changed to 0 by Vincenzo Librandi, Apr 16 2011