A305202 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

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

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

OFFSET

0,1

COMMENTS

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

LINKS

Table of n, a(n) for n=0..104.

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

Wikipedia, Lambert W function

FORMULA

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

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