Robbert Fokkink - The Pell Tower and Ostronometry

cm:12261 - Communications in Mathematics, October 30, 2024, Volume 33 (2025), Issue 2 (Special issue: Numeration, Liège 2023, dedicated to the 75th birthday of professor Christiane Frougny) - https://doi.org/10.46298/cm.12261
The Pell Tower and OstronometryArticle

Authors: Robbert Fokkink

    Conway and Ryba considered a table of bi-infinite Fibonacci sequences and discovered new interesting patterns. We extend their considerations to tables that are defined by the recurrence $X_{n+1}=dX_n+X_{n-1}$ for natural numbers $d$. In our search for new patterns we run into a Red Wall and exotic numeration systems.

    https://doi.org/10.46298/cm.12261
    Source: arXiv.org:2309.01644
    Volume: Volume 33 (2025), Issue 2 (Special issue: Numeration, Liège 2023, dedicated to the 75th birthday of professor Christiane Frougny)
    Published on: October 30, 2024
    Accepted on: August 7, 2024
    Submitted on: September 12, 2023
    Keywords: Mathematics - Combinatorics,11A63, 11B39
    Licence: Attribution 4.0 International (CC BY 4.0)

    Classifications

    Mathematics Subject Classification 20201
    Sources:
    • [1] zbMATH Open.

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