A331790 Decimal expansion of the solution to x*e^(x*e^(x))=1.

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

Offset

0,1

Comments

Also the real solution to W(-log(x))=x where W(x) is the LambertW function.

Links

Table of n, a(n) for n=0..102.

Formula

Equals log(A264808).

Example

0.4706753747765085260786198361446493848000552943051975487850...

Mathematica

RealDigits[x/.FindRoot[x*Exp[x*Exp[x]]-1, {x, 0}, WorkingPrecision-> 120]] [[1]] (* Harvey P. Dale, Sep 07 2020 *)

Prog

(PARI) solve(x=0.01, 1, x*exp(x*exp(x))-1) \\ Michel Marcus, Jan 26 2020

Crossrefs

Cf. A264808.

Sequence in context: A019976 A021072 A195791 * A200388 A200508 A020833

Adjacent sequences: A331787 A331788 A331789 * A331791 A331792 A331793

Keyword

nonn,cons

Author

Connor Sponsler, Jan 25 2020

Extensions

Prior Mathematica program amended by Harvey P. Dale, Sep 07 2020

Status

approved