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arXiv · 2507.16956

On Cloitre's hiccup sequences

Robbert Fokkink·Gandhar Joshi
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Abstract

In 2003, Benoit Cloitre entered a family of sequences in the OEIS that we call hiccup sequences. We collect the various claims, observations, and proofs of properties of these sequences that have been entered in the OEIS over the years, and present a unified approach, inspired by a remarkable theorem of Bosma, Dekking, and Steiner.

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Robbert Fokkink, Gandhar Joshi. 2025-09-09. On Cloitre's hiccup sequences. https://arxiv.org/abs/2507.16956

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