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

Author

Keerthi Vasan Gopala, May 27 2018

Keywords

• nonn
• cons

Comments

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

Examples

			0.3746990207371174936059784287597208075128...
		

Links

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

Crossrefs

Cf. A305200.

Programs

Mathematica

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

Formula

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

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

Extensions

More digits from Alois P. Heinz, May 27 2018