On Cloitre’s hiccup sequences

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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Publication Details

Journal
The Ramanujan Journal
Published
2026-01-27
DOI
https://doi.org/10.1007/s11139-025-01305-1
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
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article

On Cloitre’s hiccup sequences

Robbert Fokkink, Gandhar Joshi
The Ramanujan Journal
Advanced Mathematical Identities
article

On Cloitre’s hiccup sequences

Robbert Fokkink, Gandhar Joshi
article en

Abstract

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.

The Ramanujan JournalVol. 69(2)
The Open University (GB), Delft University of Technology (NL)
Openalex Percentile: Top 71%
Advanced Mathematical Identities
DOIOpen Access PDFOpenAlex
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On Cloitre’s hiccup sequences — Robbert Fokkink, Gandhar Joshi · The Ramanujan Journal (2026) | TGRS Research Map | TGRS