Perrin numbers that are palindromic concatenations of two repdigits
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918011735113728 |
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| author | Batte, Herbert Kaggwa, Prosper |
| author_facet | Batte, Herbert Kaggwa, Prosper |
| contents | Let $ \{P_n\}_{n\geq 0} $ be the sequence of Perrin numbers defined by $P_0=3$, $P_1=0$,$P_2=2$ and $P_{n+3}=P_{n+1}+P_{n}$ for all $n \geq 0$. In this paper, we determine all Perrin numbers that are palindromic concatenations of two repdigits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_10712 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Perrin numbers that are palindromic concatenations of two repdigits Batte, Herbert Kaggwa, Prosper Number Theory 11B39, 11D61, 11J86 Let $ \{P_n\}_{n\geq 0} $ be the sequence of Perrin numbers defined by $P_0=3$, $P_1=0$,$P_2=2$ and $P_{n+3}=P_{n+1}+P_{n}$ for all $n \geq 0$. In this paper, we determine all Perrin numbers that are palindromic concatenations of two repdigits. |
| title | Perrin numbers that are palindromic concatenations of two repdigits |
| topic | Number Theory 11B39, 11D61, 11J86 |
| url | https://arxiv.org/abs/2408.10712 |