A305202 Decimal expansion of the imaginary part of continued exponential i.

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

Offset

0,1

Comments

This is the imaginary part of e^(i*e^(i*e^(i...))).

Links

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

Eric Weisstein's World of Mathematics, Lambert W-Function

Wikipedia, Lambert W function

Formula

Equals Im(i*LambertW(-i)). - Alois P. Heinz, May 27 2018

Equals Re(LambertW(i)). - Vaclav Kotesovec, Oct 02 2021

Example

0.3746990207371174936059784287597208075128...

Mathematica

RealDigits[Re[LambertW[I]], 10, 120][[1]] (* Vaclav Kotesovec, Oct 02 2021 *)

Crossrefs

Cf. A305200.

Sequence in context: A199733 A193625 A198886 * A340013 A192265 A274511

Adjacent sequences: A305199 A305200 A305201 * A305203 A305204 A305205

Keyword

nonn,cons

Author

Keerthi Vasan Gopala, May 27 2018

Extensions

More digits from Alois P. Heinz, May 27 2018

Status

approved