The Pell Tower and Ostronometry
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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.
💡 Research Summary
The paper “The Pell Tower and Ostronometry” extends the recent work of Conway and Ryba on bi‑infinite tables of Fibonacci sequences to the broader family of second‑order linear recurrences
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