Year: 2025
Type: preprint
Abstract: We settle two questions on sequence A120243 in the OEIS that were raised by Clark Kimberling and partly solve a conjecture of Van de Lune and Arias de Reyna. We extend Kimberling's questions to the framework of deterministic random walks, automatic sequences, and linear recurrences. Our results indicate that there may be a deeper connection between these structures. In particular, we conjecture that the records of deterministic random walks are $\xi$-Ostrowski automatic for a quadratic rotation number $\xi$.
Source: arXiv (Cornell University)
Authors: Bruin, Henk, Fokkink, Robbert
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6979304243
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