A103550 Decimal expansion of solution to x*5^x=1.

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

Offset: 0

Author

Zak Seidov, Mar 23 2005

Keywords

• nonn
• cons

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..10000

Programs

Maple

x:= LambertW(log(5))/log(5):
s:= convert(evalf(x, 140), string):
seq(parse(s[n+2]), n=0..120);  # Alois P. Heinz, Dec 03 2014

Mathematica

First[RealDigits[N[ProductLog[Log[5]]/Log[5],104]]] (* Stefano Spezia, Jul 17 2022 *)

Formula

x = 0.4696219229356105441178030... ; x*5^x=1.

x = (1/5)^(1/5)^(1/5)^... = LambertW(log(5))/log(5). - Alois P. Heinz, Dec 03 2014

Extensions

More terms from Alois P. Heinz, Dec 03 2014