%I #22 Oct 22 2024 20:48:23
%S 1,1,2,9,64,3125,1679616,96889010407,9223372036854775808,
%T 278128389443693511257285776231761,
%U 10000000000000000000000000000000000000000000000000000000
%N Exponacci (or exponential Fibonacci) numbers.
%H Alois P. Heinz, <a href="/A152915/b152915.txt">Table of n, a(n) for n = 0..15</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Fibonacci_number">Fibonacci number</a>
%F a(0) = 1, a(n) = n ^ Fibonacci(n) for n > 0; Fibonacci = A000045.
%e a(9) = 9 ^ Fibonacci(9) = 9 ^ 34 = 278128389443693511257285776231761.
%p a:= n-> n^(<<1|1>, <1|0>>^n)[1, 2]:
%p seq(a(n), n=0..12); # _Alois P. Heinz_, Jun 17 2014
%t Array[ #^Fibonacci[ # ]&,12] (* _Vladimir Joseph Stephan Orlovsky_, Apr 03 2010 *)
%o (Other) unsigned long Exponacci(unsigned int n)
%o {
%o if (n == 0)
%o return 1;
%o return pow(n, Fibonacci(n));
%o }
%o (Magma) [n^Fibonacci(n): n in [1..10]]; // _Vincenzo Librandi_, Apr 05 2017
%Y Cf. A000045, A100399.
%Y Main diagonal of A244003.
%K nonn
%O 0,3
%A ShaoJun Ying (dolphinysj(AT)gmail.com), Dec 15 2008
%E More terms from _Vladimir Joseph Stephan Orlovsky_, Apr 03 2010