A265131 - OEIS

A265131

Decimal expansion of positive x satisfying x^(x^x) = LambertW(1).

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

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..113.

Wikipedia, Lambert W function

Wikipedia, Omega constant

EXAMPLE

0.44334488735791507415980027937886886012254139652223...

MATHEMATICA

RealDigits[x/.FindRoot[x^(x^x)==ProductLog[1], {x, 1}, WorkingPrecision-> 120]][[1]] (* Harvey P. Dale, Jul 19 2020 *)

PROG