A152915 Exponacci (or exponential Fibonacci) numbers.

1, 1, 2, 9, 64, 3125, 1679616, 96889010407, 9223372036854775808, 278128389443693511257285776231761, 10000000000000000000000000000000000000000000000000000000

Offset: 0

Author

ShaoJun Ying (dolphinysj(AT)gmail.com), Dec 15 2008

Keywords

• nonn

Examples

			a(9) = 9 ^ Fibonacci(9) = 9 ^ 34 = 278128389443693511257285776231761.
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..15
• Wikipedia, Fibonacci number

Crossrefs

Cf. A000045, A100399.

Main diagonal of A244003.

Programs

Magma

[n^Fibonacci(n): n in [1..10]]; // Vincenzo Librandi, Apr 05 2017

Maple

a:= n-> n^(<<1|1>, <1|0>>^n)[1, 2]:
seq(a(n), n=0..12);  # Alois P. Heinz, Jun 17 2014

Mathematica

Array[ #^Fibonacci[ # ]&,12] (* Vladimir Joseph Stephan Orlovsky, Apr 03 2010 *)

Other

unsigned long Exponacci(unsigned int n)
{
if (n == 0)
return 1;
return pow(n, Fibonacci(n));
}

Formula

a(0) = 1, a(n) = n ^ Fibonacci(n) for n > 0; Fibonacci = A000045.

Extensions

More terms from Vladimir Joseph Stephan Orlovsky, Apr 03 2010