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A145233 a(n) = Fibonacci(6^n). 7
1, 8, 14930352, 619220451666590135228675387863297874269396512 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Family of sequences (G^(k^n) - (1 - G)^(k^n))/sqrt(5):

k=2: see A058635;

k=3: see A045529;

k=4: see A145231;

k=5: see A145232;

k=6: see A145233;

k=7: see A145234.

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

FORMULA

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

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 *)

PROG

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

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).

Sequence in context: A218429 A223937 A072315 * A076916 A076917 A076923

Adjacent sequences:  A145230 A145231 A145232 * A145234 A145235 A145236

KEYWORD

nonn

AUTHOR

Artur Jasinski, Oct 05 2008

STATUS

approved

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Last modified November 13 02:59 EST 2019. Contains 329085 sequences. (Running on oeis4.)