

A086858


Let f(n) be the inverse of the function g(x) = x^x. Then a(n) = floor(f(n)).


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OFFSET

1,4


COMMENTS

a(n) is the value of x that solves the equation x^x = n, truncated to an integer.


LINKS



FORMULA

a(n) = floor(g^1(n)) where g(x) = x^x.


EXAMPLE

a(32)=3 because the solution to the equation x^x = 32 is x = 3.080448349..., and floor(3.080448349...) = 3.


MATHEMATICA

f[n_] := Floor[ N[ Log[n]/ProductLog[Log[ n]]]]; Join[{1}, Table[ f[n], {n, 2, 105}]] (* Robert G. Wilson v, Oct 21 2005 *)


CROSSREFS



KEYWORD

easy,nonn


AUTHOR

Christopher M. Tomaszewski (cmt1288(AT)comcast.net), Sep 16 2003


EXTENSIONS



STATUS

approved



