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Search: id:A152915
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| A152915 |
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Exponacci (or exponential Fibonacci) numbers. |
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+0
1
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| 0, 1, 2, 9, 64, 3125, 1679616, 96889010407, 9223372036854775808
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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a(0) = 0
a(1) = 1
a(n) = n ^ Fibonacci(n), n > 1
n is a natural number and Fibonacci(n) is the Fibonacci number.
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LINKS
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Wikipedia, Fibonacci number
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FORMULA
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a(n) = 0 if n = 0
a(n) = 1 if n = 1
a(n) = n ^ Fibonacci(n) if n > 1
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EXAMPLE
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a(9) = 9 ^ Fibonacci(9) = 9 ^ 34
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PROGRAM
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(Other) unsigned long Exponacci(unsigned int n)
{
if (n == 0)
return 0;
if (n == 1)
return 1;
return pow(n, Fibonacci(n));
}
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CROSSREFS
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Cf. A000045
Sequence in context: A112319 A038038 A048801 this_sequence A071300 A062395 A099975
Adjacent sequences: A152912 A152913 A152914 this_sequence A152916 A152917 A152918
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KEYWORD
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nonn
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AUTHOR
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ShaoJun Ying (dolphinysj(AT)gmail.com), Dec 15 2008
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