On a two-valued infinite sequence and a related continued fraction in Q((T^-1))

TL;DR

This paper fully describes a singular transcendental continued fraction in Q((T^-1)) associated with a specific infinite two-letter word, complementing previous work published six years ago.

Contribution

It provides a complete characterization of a particular transcendental continued fraction linked to an infinite two-letter sequence.

Findings

Identification of a singular transcendental continued fraction

Connection to an infinite two-letter word

Extension of previous results from 2018

Abstract

This note is a complement to an article which was published, six years ago, in The Ramanujan Journal (vol. 45.3, 2018). Here, the goal is to fully describe a singular transcendental continued fraction in Q((T^-1)), tied to a particular infinite two letters word.