A387132 Decimal expansion of the absolute value of the imaginary part of the complex solutions to log(z) = -1/z on the principal branch of log(z).

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

Offset: 0

Author

Stefano Spezia, Aug 17 2025

Keywords

• nonn
• cons
• new

Examples

			0.7077541887847276164728458930765162394938408142...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A030797, A059526, A059527.

Cf. A387131 (real part).

Programs

Mathematica

RealDigits[Im[-1/ProductLog[-1]],10,100][[1]]

Formula

Equals Im(-1/LambertW(-1)).

Equals -Im(-1/LambertW(-1, -1)).