On Cloitre's hiccup sequences
Combinatorics
2025-09-11 v4 Number Theory
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.
Cite
@article{arxiv.2507.16956,
title = {On Cloitre's hiccup sequences},
author = {Robbert Fokkink and Gandhar Joshi},
journal= {arXiv preprint arXiv:2507.16956},
year = {2025}
}