A290410 - OEIS

A290410

Decimal expansion of the imaginary part of the solution of z = (i+z)^i in C (i is the imaginary unit).

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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

-1,2

COMMENTS

For more comments, see the real part in A290409.

LINKS

Stanislav Sykora, Table of n, a(n) for n = -1..2000

EXAMPLE

0.012576454573863832381561850841183677014423243473407635203417674...

MATHEMATICA

RealDigits[Im[z /. FindRoot[(I + z)^I == z, {z, 0}, WorkingPrecision -> 120]]][[1]] (* Amiram Eldar, May 30 2023 *)

PROG