Observational analysis reveals a unified approach to hiccup sequences in OEIS, implying a deeper understanding of their properties.
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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Fokkink et al. (2026) studied this question.