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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.08930 |
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| _version_ | 1866911580875128832 |
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| author | Li, Ruofan |
| author_facet | Li, Ruofan |
| contents | Let $β$ be a non-unit real algebraic integer greater than one and $\{a_{n}\}_{n \geq 0}$ be a sequence satisfying a linear recurrence relation $a_{n+3}=aa_{n+2}+ba_{n+1}+ca_{n}$. Under certain conditions, we prove that the number of $a_{n}$ which are palindromic concatenations of two repdigits in base $β$ is finite. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_08930 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Linear recurrence sequences and palindromic concatenations of two repdigits in base $β$ Li, Ruofan Number Theory Let $β$ be a non-unit real algebraic integer greater than one and $\{a_{n}\}_{n \geq 0}$ be a sequence satisfying a linear recurrence relation $a_{n+3}=aa_{n+2}+ba_{n+1}+ca_{n}$. Under certain conditions, we prove that the number of $a_{n}$ which are palindromic concatenations of two repdigits in base $β$ is finite. |
| title | Linear recurrence sequences and palindromic concatenations of two repdigits in base $β$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2604.08930 |