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A152915
Exponacci (or exponential Fibonacci) numbers.
3
1, 1, 2, 9, 64, 3125, 1679616, 96889010407, 9223372036854775808, 278128389443693511257285776231761, 10000000000000000000000000000000000000000000000000000000
OFFSET
0,3
LINKS
FORMULA
a(0) = 1, a(n) = n ^ Fibonacci(n) for n > 0; Fibonacci = A000045.
EXAMPLE
a(9) = 9 ^ Fibonacci(9) = 9 ^ 34 = 278128389443693511257285776231761.
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 *)
PROG
(Other) unsigned long Exponacci(unsigned int n)
{
if (n == 0)
return 1;
return pow(n, Fibonacci(n));
}
(Magma) [n^Fibonacci(n): n in [1..10]]; // Vincenzo Librandi, Apr 05 2017
CROSSREFS
Main diagonal of A244003.
Sequence in context: A038038 A368790 A048801 * A168383 A071300 A062395
KEYWORD
nonn
AUTHOR
ShaoJun Ying (dolphinysj(AT)gmail.com), Dec 15 2008
EXTENSIONS
More terms from Vladimir Joseph Stephan Orlovsky, Apr 03 2010
STATUS
approved