A134502 a(n) = Fibonacci(7n + 4).

3, 89, 2584, 75025, 2178309, 63245986, 1836311903, 53316291173, 1548008755920, 44945570212853, 1304969544928657, 37889062373143906, 1100087778366101931, 31940434634990099905, 927372692193078999176, 26925748508234281076009

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 +4): n in [0..100]]; // Vincenzo Librandi, Apr 17 2011

Mathematica

Table[Fibonacci[7n+4], {n, 0, 30}]

PARI

a(n)=fibonacci(7*n+4) \\ Charles R Greathouse IV, Jun 11 2015

Formula

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

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

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

a(n) = A000045(A017029(n)). - Michel Marcus, Nov 07 2013

Extensions

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