A103551 Decimal expansion of solution to x*6^x = 1.

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

Offset

0,1

Links

Table of n, a(n) for n=0..104.

Formula

x*6^x = 1.

x = (1/6)^(1/6)^(1/6)^... = LambertW(log(6))/log(6). - Alois P. Heinz, Dec 03 2014

Example

0.44806307664630884511371441842857154667562033005414...

Maple

x:= LambertW(log(6))/log(6):
s:= convert(evalf(x, 140), string):
seq(parse(s[n+2]), n=0..120);  # Alois P. Heinz, Dec 03 2014

Mathematica

RealDigits[ProductLog[Log[6]]/Log[6], 10, 105][[1]] (* Amiram Eldar, May 04 2023 *)

Crossrefs

Cf. A104748, A103549, A103550, A103552, A103553, A103554, A103555, A103556, A103559, A103560.

Sequence in context: A019159 A019250 A200509 * A107493 A298815 A272745

Adjacent sequences: A103548 A103549 A103550 * A103552 A103553 A103554

Keyword

nonn,cons

Author

Zak Seidov, Mar 23 2005

Extensions

More terms from Alois P. Heinz, Dec 03 2014

Status

approved