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

1,1

Links

Table of n, a(n) for n=1..105.

Index entries for transcendental numbers

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

Cf. A030437, A030797, A030798, A173158.

Sequence in context: A119419 A109529 A022694 * A271574 A274198 A002079

Adjacent sequences: A173156 A173157 A173158 * A173160 A173161 A173162

Keyword

nonn,cons

Author

Vladimir Joseph Stephan Orlovsky, Feb 11 2010

Extensions

Keyword:cons added by R. J. Mathar, Mar 11 2010

Status

approved