English

The Pell Tower and Ostronometry

Combinatorics 2026-05-27 v5

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+Xn1X_{n+1}=dX_n+X_{n-1} for natural numbers dd. In our search for new patterns we run into a Red Wall and exotic numeration systems.

Cite

@article{arxiv.2309.01644,
  title  = {The Pell Tower and Ostronometry},
  author = {Robbert Fokkink},
  journal= {arXiv preprint arXiv:2309.01644},
  year   = {2026}
}
R2 v1 2026-06-28T12:12:19.216Z