A103554 Decimal expansion of solution to x*9^x = 1.

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

Offset: 0

Author

Zak Seidov, Mar 23 2005

Keywords

• nonn
• cons

Examples

			0.40800440537438100797780053144009901215045141690760...
		

Crossrefs

Cf. A104748, A103549, A103550, A103551, A103552, A103553, A103555, A103556, A103559, A103560.

Programs

Maple

x:= LambertW(log(9))/log(9):
s:= convert(evalf(x, 140), string):
seq(parse(s[n+2]), n=0..121);  # Alois P. Heinz, Dec 03 2014

Mathematica

RealDigits[ProductLog[Log[9]]/Log[9], 10, 105][[1]] (* Amiram Eldar, May 04 2023 *)

Formula

x*9^x = 1.

x = (1/9)^(1/9)^(1/9)^... = LambertW(log(9))/log(9). - Alois P. Heinz, Dec 03 2014

Extensions

More terms from Alois P. Heinz, Dec 03 2014