A173159 Decimal expansion of the constant x which satisfies x^x = 5.
2, 1, 2, 9, 3, 7, 2, 4, 8, 2, 7, 6, 0, 1, 5, 6, 6, 9, 6, 3, 8, 0, 3, 1, 1, 9, 9, 6, 4, 9, 2, 2, 5, 6, 3, 9, 4, 0, 7, 3, 0, 7, 7, 5, 1, 1, 1, 0, 2, 7, 8, 7, 8, 4, 2, 2, 2, 7, 0, 3, 7, 0, 1, 7, 5, 1, 4, 6, 0, 7, 5, 5, 4, 9, 7, 7, 2, 9, 7, 1, 5, 1, 0, 2, 7, 3, 2, 5, 1, 6, 5, 4, 4, 6, 6, 7, 4, 0, 0, 3, 8, 2, 6, 1, 2
Offset: 1
Examples
2.12937248...^2.12937248... = 5. 2.12937248..*log(2.12937248..) = 1.609437... = A016628.
Programs
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Maple
Digits := 20 ; fsolve(x^x=5) ; # R. J. Mathar, Mar 11 2010
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Mathematica
x=5;RealDigits[Log[x]/ProductLog[Log[x]],10,6! ][[1]]
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PARI
log(5)/lambertw(log(5)) \\ Charles R Greathouse IV, Jul 14 2020
Formula
Log(5)/W(log(5)).
Extensions
Keyword:cons added by R. J. Mathar, Mar 11 2010