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A152915
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Exponacci (or exponential Fibonacci) numbers.
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2
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1, 1, 2, 9, 64, 3125, 1679616, 96889010407, 9223372036854775808, 278128389443693511257285776231761, 10000000000000000000000000000000000000000000000000000000
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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LINKS
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FORMULA
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a(0) = 1, a(n) = n ^ Fibonacci(n) for n > 0; Fibonacci = A000045.
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EXAMPLE
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a(9) = 9 ^ Fibonacci(9) = 9 ^ 34 = 278128389443693511257285776231761.
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MAPLE
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a:= n-> n^(<<1|1>, <1|0>>^n)[1, 2]:
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MATHEMATICA
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PROG
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(Other) unsigned long Exponacci(unsigned int n)
{
if (n == 0)
return 1;
return pow(n, Fibonacci(n));
}
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CROSSREFS
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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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EXTENSIONS
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STATUS
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approved
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