A145233 a(n) = Fibonacci(6^n).

1, 8, 14930352, 619220451666590135228675387863297874269396512

Offset: 0

Author

Artur Jasinski, Oct 05 2008

Keywords

• nonn

Comments

The next term, a(4), has 271 digits. - Harvey P. Dale, Jul 18 2011

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..4

Crossrefs

Cf. A000045.

Cf. (k^n)-th Fibonacci number: A058635 (k=2), A045529 (k=3), A145231 (k=4), A145232 (k=5), this sequence (k=6), A145234 (k=7), A250487 (k=8), A250488 (k=9), A250489 (k=10).

Programs

Magma

[Fibonacci(6^n): n in [0..5]]; // Vincenzo Librandi, Apr 02 2011

Maple

A145233 := proc(n) combinat[fibonacci](6^n) ; end proc: # R. J. Mathar, Apr 01 2011

Mathematica

G = (1 + Sqrt[5])/2; Table[Expand[(G^(6^n) - (1 - G)^(6^n))/Sqrt[5]], {n, 1, 6}]
(* Second program: *)
Fibonacci[6^Range[4]] (* Harvey P. Dale, Jul 18 2011 *)

Formula

a(n) = (G^(6^n) - (1 - G)^(6^n))/sqrt(5) where G = (1 + sqrt(5))/2.