The Pell Tower and Ostronometry
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910258912296960 |
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| author | Fokkink, Robbert |
| author_facet | Fokkink, Robbert |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_01644 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Pell Tower and Ostronometry Fokkink, Robbert Combinatorics 11A63, 11B39 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. |
| title | The Pell Tower and Ostronometry |
| topic | Combinatorics 11A63, 11B39 |
| url | https://arxiv.org/abs/2309.01644 |