%I #30 Dec 04 2022 04:56:05
%S 1,8,14930352,619220451666590135228675387863297874269396512
%N a(n) = Fibonacci(6^n).
%C The next term, a(4), has 271 digits. - _Harvey P. Dale_, Jul 18 2011
%H Seiichi Manyama, <a href="/A145233/b145233.txt">Table of n, a(n) for n = 0..4</a>
%F a(n) = (G^(6^n) - (1 - G)^(6^n))/sqrt(5) where G = (1 + sqrt(5))/2.
%p A145233 := proc(n) combinat[fibonacci](6^n) ; end proc: # _R. J. Mathar_, Apr 01 2011
%t G = (1 + Sqrt[5])/2; Table[Expand[(G^(6^n) - (1 - G)^(6^n))/Sqrt[5]], {n, 1, 6}]
%t (* Second program: *)
%t Fibonacci[6^Range[4]] (* _Harvey P. Dale_, Jul 18 2011 *)
%o (Magma) [Fibonacci(6^n): n in [0..5]]; // _Vincenzo Librandi_, Apr 02 2011
%Y Cf. A000045.
%Y 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).
%K nonn
%O 0,2
%A _Artur Jasinski_, Oct 05 2008