A173158 - OEIS

%I #21 Apr 17 2024 07:57:42

%S 1,8,2,5,4,5,5,0,2,2,9,2,4,8,3,0,0,4,0,0,4,1,4,6,9,2,9,7,7,4,0,5,8,6,

%T 2,2,2,6,3,3,8,3,3,6,4,5,9,2,0,7,1,4,0,6,2,1,4,5,3,7,4,8,0,3,5,2,5,5,

%U 2,8,3,4,9,7,8,5,3,7,6,4,2,6,3,4,1,8,2,1,5,6,1,8,6,7,0,4,6,5,6,0,2,7,1,0,9

%N Decimal expansion of x such that x^x=3.

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

%F Equals log(3)/W(log(3)).

%F Equals 1/A103549. - _Hugo Pfoertner_, Apr 17 2024

%e 1.8254550229248300400414692977405862226338336459207140621453748035255....

%t x=3;RealDigits[Log[x]/ProductLog[Log[x]],10,6! ][[1]]

%o (PARI) solve(x=1, 2, x^x-3) \\ _Michel Marcus_, Jan 14 2015

%o (PARI) log(3)/lambertw(log(3)) \\ _Charles R Greathouse IV_, Jul 14 2020

%Y Cf. A030798 (x^x=2), A103549.

%K nonn,cons,easy

%O 1,2

%A _Vladimir Joseph Stephan Orlovsky_, Feb 11 2010