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Fibonacci number F(n) to power F(n).
14

%I #23 Oct 22 2024 20:52:04

%S 1,1,1,4,27,3125,16777216,302875106592253,

%T 5842587018385982521381124421,

%U 11756638905368616011414050501310355554617941909569536,524744532468751923546122657597368049278513737089035272057324643668607677682302892208099365234375

%N Fibonacci number F(n) to power F(n).

%H Vincenzo Librandi, <a href="/A008973/b008973.txt">Table of n, a(n) for n = 0..14</a>

%F a(n) = A000045(n)^A000045(n).

%F a(n) = A000312(A000045(n)).

%p with(combinat):

%p [ seq(fibonacci(n)^fibonacci(n), n=0..15) ];

%t Table[f=Fibonacci[n];f^f,{n,0,9}] (* _Vladimir Joseph Stephan Orlovsky_, Jul 22 2008 *)

%o (PARI) a(n)=my(f=fibonacci(n)); f^f \\ _Charles R Greathouse IV_, Oct 03 2016

%Y Cf. A000045, A000312, A250495.

%K nonn

%O 0,4

%A _N. J. A. Sloane_