A305210 Decimal expansion of the imaginary part of continued exponential (i/Pi).

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

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..103.

Formula

Equals Im(Pi*i*LambertW(-i/Pi)).

Example

0.256299537163861312529996729880982538078341463884...

Mathematica

Im[Pi*I*N[ProductLog[-I/Pi], 100]]

Crossrefs

Cf. A049006, A077589, A077590, A305200, A305202, A305208.

Sequence in context: A346042 A021800 A140862 * A165501 A274614 A353771

Adjacent sequences: A305207 A305208 A305209 * A305211 A305212 A305213

Keyword

nonn,cons

Author

Keerthi Vasan Gopala, May 27 2018

Status

approved