A103553 Decimal expansion of solution to x*8^x = 1.

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

Offset

0,1

Links

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

Formula

x*8^x = 1.

x = (1/8)^(1/8)^(1/8)^... = LambertW(log(8))/log(8). - Alois P. Heinz, Oct 25 2016

Example

0.41868621979724841267472248744737790370444567336321...

Mathematica

RealDigits[x/.FindRoot[x 8^x==1, {x, .4}, WorkingPrecision->100]][[1]] (* Harvey P. Dale, Jan 04 2011 *)
RealDigits[ProductLog[Log[8]]/Log[8], 10, 105][[1]] (* Amiram Eldar, May 04 2023 *)

Crossrefs

Cf. A104748, A103549, A103550, A103551, A103552, A103554, A103555, A103556, A103559, A103560.

Sequence in context: A205296 A143820 A259930 * A067439 A116924 A327957

Adjacent sequences: A103550 A103551 A103552 * A103554 A103555 A103556

Keyword

nonn,cons

Author

Zak Seidov, Mar 23 2005

Extensions

More terms from Harvey P. Dale, Jan 04 2011

Status

approved