The Pell tower and Ostronometry

Journal Article (2025)
Author(s)

Robbert Fokkink (TU Delft - Applied Probability)

Research Group
Applied Probability
DOI related publication
https://doi.org/10.46298/cm.12261
More Info
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Publication Year
2025
Language
English
Research Group
Applied Probability
Issue number
2
Volume number
33
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Abstract

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 Xn+1 = dXn + Xn−1 for natural numbers d. In our search for new patterns we run into a Red Wall and exotic numeration systems.