A134490 a(n) = Fibonacci(5n + 3).

2, 21, 233, 2584, 28657, 317811, 3524578, 39088169, 433494437, 4807526976, 53316291173, 591286729879, 6557470319842, 72723460248141, 806515533049393, 8944394323791464, 99194853094755497, 1100087778366101931

Offset: 0

Author

Artur Jasinski, Oct 28 2007

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (11,1)

Crossrefs

Cf. A000045, A102312, A099100, A134491.

Programs

Magma

[Fibonacci(5*n+3): n in [0..100]]; // Vincenzo Librandi, Apr 16 2011

Mathematica

Table[Fibonacci[5n + 3], {n, 0, 30}]

PARI

a(n)=fibonacci(5*n+3) \\ Charles R Greathouse IV, Jun 11 2015

Formula

a(n) = 11a(n-1) + a(n-2). - Paul Curtz, May 07 2008

From R. J. Mathar, Nov 02 2008: (Start)

G.f.: (2-x)/(1 - 11x - x^2).

a(n) = |A122574(n+2)| + A049666(n+1). (End)

a(n) = A000045(A016885(n)). - Michel Marcus, Nov 08 2013

Extensions

Offset changed to 0 by R. J. Mathar, Jul 28 2008