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arXiv · 2610.03837

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

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

Answering a question of Madill and Rampersad, we give an example a of a $2$-automatic sequence whose abelian complexity is not $2$-regular.

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Jean-Paul Allouche, Narad Rampersad, Michel Rigo, Jeffrey Shallit, Manon Stipulanti. 2026-10-02. An example of an automatic sequence with non-regular abelian complexity. https://arxiv.org/abs/2610.03837

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