Repdigits as Product of Consecutive Shifted Tribonacci Numbers
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918139408678912 |
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| author | Das, Pranabesh Rihane, Salah Eddine Togbé, Alain |
| author_facet | Das, Pranabesh Rihane, Salah Eddine Togbé, Alain |
| contents | A repdigit is a positive integer that has only one distinct digit in its decimal expansion, i.e., a number has the form $d(10^m-1)/9$ for some $m\geq 1$ and $1 \leq d \leq 9$. Let $\left(T_n\right)_{n\ge0}$ be the sequence of Tribonacci. This paper deals with the presence of repdigits in the products of consecutive shifted Tribonacci numbers. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_09578 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Repdigits as Product of Consecutive Shifted Tribonacci Numbers Das, Pranabesh Rihane, Salah Eddine Togbé, Alain Number Theory 11B39, 11J86 A repdigit is a positive integer that has only one distinct digit in its decimal expansion, i.e., a number has the form $d(10^m-1)/9$ for some $m\geq 1$ and $1 \leq d \leq 9$. Let $\left(T_n\right)_{n\ge0}$ be the sequence of Tribonacci. This paper deals with the presence of repdigits in the products of consecutive shifted Tribonacci numbers. |
| title | Repdigits as Product of Consecutive Shifted Tribonacci Numbers |
| topic | Number Theory 11B39, 11J86 |
| url | https://arxiv.org/abs/2509.09578 |