On Cloitre’s hiccup sequences
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.
Fields of Study & Subjects
Advanced Mathematical Identities
Advanced Mathematical Theories and Applications
Mathematical and Theoretical Analysis
Publication details
- Journal / source
- The Ramanujan Journal
- Publisher
- Springer Science and Business Media LLC
- Volume
- 69
- Issue
- 2
- Publication date
- 27 January 2026
- Language
- EN