Talk:Dottie number

Uniqueness
The article says "It can be trivially proven that the equation has only one solution by the intermediate value theorem in the real plane". But the IVT doesn't guarantee uniqueness, so there must be some extra argument here. With a bit of work (needing to restrict the domain) you might be able to use the Banach fixed point theorem.

Adding more digits
Should there be more digits? 0.73908513321516064165531208767387340401

If we make the edit, do we site some reference. This reference has approximately 15 correct digits

http://www.math.utah.edu/~pa/5610/N9a.pdf

-- irchans 14 Dec 2021 — Preceding unsigned comment added by Irchans (talk • contribs) 23:49, 14 December 2021 (UTC)
 * I think the six digits that are there is enough. Additional digits don't add any insight, and (unlike, say, the digits of pi), the digits of this number aren't a common topic of interest. So it would just be trivia. Danstronger (talk) 00:31, 15 December 2021 (UTC)

Fair enough -- irchans 15 Dec 2021 UTC 00:46
 * By the way, you can sign your comments by putting four tildes ( ~ ) at the end of your message. (See Tips/How_to_sign_comments.) Danstronger (talk) 01:30, 15 December 2021 (UTC)

A369186 and A369187
The OEIS (The On-Line Encyclopedia of Integer Sequences) sequences A369186 and A369187 are the denominators and the numerators of an infinite series that converges to the Dottie number. Dacicus Geometricus (talk) 13:17, 2 March 2024 (UTC)