arXiv Open Access 2023

Some Fibonacci-Related Sequences

Benoit Cloitre Jeffrey Shallit

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Abstrak

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 Fibonacci representation, finite automata, and the Walnut theorem-prover. We also prove two new results about synchronized sequences.

Topik & Kata Kunci

math.CO cs.DM cs.FL

Penulis (2)

Benoit Cloitre

Jeffrey Shallit

Format Sitasi

APA MLA BibTeX

Cloitre, B., Shallit, J. (2023). Some Fibonacci-Related Sequences. https://arxiv.org/abs/2312.11706

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓