Binary patterns in the Prouhet-Thue-Morse sequence

We show that, with the exception of the words $a^2ba^2$ and $b^2ab^2$, all (finite or infinite) binary patterns in the Prouhet-Thue-Morse sequence can actually be found in that sequence as segments (up to exchange of letters in the infinite case). This result was previously attributed to unpublished...

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Bibliographic Details
Main Authors: Jorge Almeida, Ondřej Klíma
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2021-08-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/5460/pdf