Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
A173159
Decimal expansion of the constant x which satisfies x^x = 5.
7
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
1,1
FORMULA
Log(5)/W(log(5)).
EXAMPLE
2.12937248...^2.12937248... = 5.
2.12937248..*log(2.12937248..) = 1.609437... = A016628.
MAPLE
Digits := 20 ; fsolve(x^x=5) ; # R. J. Mathar, Mar 11 2010
MATHEMATICA
x=5; RealDigits[Log[x]/ProductLog[Log[x]], 10, 6! ][[1]]
PROG
(PARI) log(5)/lambertw(log(5)) \\ Charles R Greathouse IV, Jul 14 2020
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
EXTENSIONS
Keyword:cons added by R. J. Mathar, Mar 11 2010
STATUS
approved