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<p>In 2003, Benoit Cloitre entered a family of sequences in the OEIS that we call <i>hiccup</i> 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.</p>

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On Cloitre’s hiccup sequences

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年1月27日

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  • Robbert Fokkink,
  • Gandhar Joshi

摘要

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.