A103556 Decimal expansion of solution to x*11^x = 1.

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

Offset

0,1

Links

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

Formula

x*11^x = 1.

x = (1/11)^(1/11)^(1/11)^... = LambertW(log(11))/log(11). - Alois P. Heinz, Dec 03 2014

Example

0.39129683647657668736453346433686890965266775498198...

Maple

x:= LambertW(log(11))/log(11):
s:= convert(evalf(x, 140), string):
seq(parse(s[n+2]), n=0..123);  # Alois P. Heinz, Dec 03 2014

Mathematica

RealDigits[ProductLog[Log[11]]/Log[11], 10, 105][[1]] (* Amiram Eldar, May 04 2023 *)

Crossrefs

Cf. A104748, A103549, A103550, A103551, A103552, A103553, A103554, A103555, A103559, A103560.

Sequence in context: A258147 A016673 A304022 * A254348 A168399 A290375

Adjacent sequences: A103553 A103554 A103555 * A103557 A103558 A103559

Keyword

nonn,cons

Author

Zak Seidov, Mar 23 2005

Extensions

More terms from Alois P. Heinz, Dec 03 2014

Status

approved