On Cloitre's hiccup sequences

Fuente: arXiv
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Autores principales: Fokkink, Robbert, Joshi, Gandhar
Formato: Preprint
Publicado: 2025
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author Fokkink, Robbert
Joshi, Gandhar
author_facet Fokkink, Robbert
Joshi, Gandhar
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_16956
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On Cloitre's hiccup sequences
Fokkink, Robbert
Joshi, Gandhar
Combinatorics
Number Theory
11B85
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.
title On Cloitre's hiccup sequences
topic Combinatorics
Number Theory
11B85
url https://arxiv.org/abs/2507.16956