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A086858
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Let f(n) be the inverse of the function g(n)=n^n. Then this sequence is the range of floor(f(n)).
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1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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COMMENTS
| This sequence is the all the solutions to the equation n^n=a for 0<a<infinity, truncated to an integer.
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FORMULA
| a(n) = floor(g^-1(n)) where g(n)=n^n.
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EXAMPLE
| a(32)=3 because if you floor the solution to the equation n^n=32, you arrive at 3.
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MATHEMATICA
| f[n_] := Floor[ N[ Log[n]/ProductLog[Log[ n]]]]; Join[{1}, Table[ f[n], {n, 2, 105}]] (from Robert G. Wilson v (rgwv(at)rgwv.com), Oct 21 2005)
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CROSSREFS
| Cf. A000312.
Sequence in context: A194698 A105519 A111891 * A111892 A108248 A087104
Adjacent sequences: A086855 A086856 A086857 * A086859 A086860 A086861
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KEYWORD
| easy,nonn
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AUTHOR
| Christopher M. Tomaszewski (cmt1288(AT)comcast.net), Sep 16 2003
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