A305208 Decimal expansion of the real part of the continued exponential i/Pi.

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

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..105.

Formula

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

Example

0.88530292263172060173561116234106499518957753397967...

Mathematica

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

Crossrefs

Cf. A049006, A077589, A077590, A305200, A305202, A305210.

Sequence in context: A228719 A021117 A335414 * A081799 A154186 A030171

Adjacent sequences: A305205 A305206 A305207 * A305209 A305210 A305211

Keyword

nonn,cons

Author

Keerthi Vasan Gopala, May 27 2018

Status

approved