Some Fibonacci-Related Sequences

The Fibonacci Quarterly 2026 Open access

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Authors: Benoit Cloitre, Jeffrey O. Shallit
DOI: 10.1080/00150517.2025.2487802
Cited by: 0
References: 3

Abstract

We discuss an interesting sequence defined recursively; namely, sequence A105774 from the On-Line Encyclopedia of Integer Sequences, and study some of its properties. Our main tools are Zeckendorf representation, finite automata, and the Walnut theorem-prover. We also prove two new results about synchronized sequences.In honor of fellow Fibonacci fans Curtis Cooper and Art Benjamin

Fields of Study & Subjects

Advanced Mathematical Theories and Applications Advanced Mathematical Theories Advanced Combinatorial Mathematics

Publication details

Journal / source
The Fibonacci Quarterly
Pages
1–23
Publication date
5 January 2026
Language
EN