A173158 Decimal expansion of x such that x^x=3.

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, 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, 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

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Feb 11 2010

Keywords

• nonn
• cons
• easy

Examples

			1.8254550229248300400414692977405862226338336459207140621453748035255....
		

Links

• Index entries for transcendental numbers

Crossrefs

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

Programs

Mathematica

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

PARI

solve(x=1, 2, x^x-3) \\ Michel Marcus, Jan 14 2015

PARI

log(3)/lambertw(log(3)) \\ Charles R Greathouse IV, Jul 14 2020

Formula

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

Equals 1/A103549. - Hugo Pfoertner, Apr 17 2024