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

0,1

Links

Table of n, a(n) for n=0..105.

Formula

x*9^x = 1.

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

Example

0.40800440537438100797780053144009901215045141690760...

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 *)

Crossrefs

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

Sequence in context: A141433 A019111 A182158 * A261278 A340424 A222609

Adjacent sequences: A103551 A103552 A103553 * A103555 A103556 A103557

Keyword

nonn,cons

Author

Zak Seidov, Mar 23 2005

Extensions

More terms from Alois P. Heinz, Dec 03 2014

Status

approved