A173159 - OEIS

%I #9 Jul 14 2020 03:01:07

%S 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,

%T 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,

%U 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

%N Decimal expansion of the constant x which satisfies x^x = 5.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%F Log(5)/W(log(5)).

%e 2.12937248...^2.12937248... = 5.

%e 2.12937248..*log(2.12937248..) = 1.609437... = A016628.

%p Digits := 20 ; fsolve(x^x=5) ; # _R. J. Mathar_, Mar 11 2010

%t x=5;RealDigits[Log[x]/ProductLog[Log[x]],10,6! ][[1]]

%o (PARI) log(5)/lambertw(log(5)) \\ _Charles R Greathouse IV_, Jul 14 2020

%Y Cf. A030437, A030797, A030798, A173158.

%K nonn,cons

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Feb 11 2010

%E Keyword:cons added by _R. J. Mathar_, Mar 11 2010