On Cloitre's hiccup sequences
Robbert Fokkink, Gandhar Joshi
TL;DR
This paper reviews and unifies various claims and properties of Cloitre's hiccup sequences from OEIS, providing a comprehensive approach inspired by a key theorem to better understand these sequences.
Contribution
It offers a unified framework for analyzing Cloitre's hiccup sequences, consolidating previous claims and proofs with a new theoretical perspective.
Findings
Collected and analyzed OEIS entries on hiccup sequences
Presented a unified approach inspired by Bosma, Dekking, and Steiner's theorem
Clarified properties and relationships of 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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Taxonomy
TopicsPathogenesis and Treatment of Hiccups