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An example of an automatic sequence with non-regular abelian complexity

Jean-Paul Allouche, Narad Rampersad, Michel Rigo, Jeffrey Shallit, Manon Stipulanti

Source record

Source: arXiv

Published: Oct 2, 2026

arXiv: 2610.03837

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Source abstract

Answering a question of Madill and Rampersad, we give an example a of a 22-automatic sequence whose abelian complexity is not 22-regular.

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