A134498 a(n) = Fibonacci(7n).

0, 13, 377, 10946, 317811, 9227465, 267914296, 7778742049, 225851433717, 6557470319842, 190392490709135, 5527939700884757, 160500643816367088, 4660046610375530309, 135301852344706746049, 3928413764606871165730

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, A134499, A134500, A134501, A134502, A134503, A134504, A049667.

Programs

Magma

[Fibonacci(7*n): n in [0..100]]; // Vincenzo Librandi, Apr 17 2011

Mathematica

Table[Fibonacci[7n], {n, 0, 30}]
{a,b}={0,13};Do[Print[c={a,b}.{1,29}];a=b;b=c,{30}] (* Zak Seidov, Nov 02 2009 *)

MuPAD

numlib::fibonacci(7*n) $ n = 0..25; // Zerinvary Lajos, May 09 2008

PARI

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

Sage

[fibonacci(7*n) for n in range(0, 16)] # Zerinvary Lajos, May 15 2009

Formula

G.f.: -13*x / ( -1+29*x+x^2 ). a(n) = 13*A049667(n). - R. J. Mathar, Apr 17 2011

a(n) = A000045(A008589(n)). - Michel Marcus, Nov 08 2013

Extensions

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