Robbert Fokkink
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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)
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https://doi.org/10.46298/cm.12261The Pell Tower and OstronometryArticle
Authors: Robbert Fokkink
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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.
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