$k$-Fibonacci numbers that are palindromic concatenations of two distinct Repdigits
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908318030626816 |
|---|---|
| author | Batte, Herbert Luca, Florian |
| author_facet | Batte, Herbert Luca, Florian |
| contents | Let $k\ge 2$ and $\{F_n^{(k)}\}_{n\geq 2-k}$ be the sequence of $k$--generalized Fibonacci numbers whose first $k$ terms are $0,\ldots,0,0,1$ and each term afterwards is the sum of the preceding $k$ terms. In this paper, we determine all $k$-Fibonacci numbers that are palindromic concatenations of two distinct repdigits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_10138 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $k$-Fibonacci numbers that are palindromic concatenations of two distinct Repdigits Batte, Herbert Luca, Florian Number Theory 11B39, 11D61, 11D45 Let $k\ge 2$ and $\{F_n^{(k)}\}_{n\geq 2-k}$ be the sequence of $k$--generalized Fibonacci numbers whose first $k$ terms are $0,\ldots,0,0,1$ and each term afterwards is the sum of the preceding $k$ terms. In this paper, we determine all $k$-Fibonacci numbers that are palindromic concatenations of two distinct repdigits. |
| title | $k$-Fibonacci numbers that are palindromic concatenations of two distinct Repdigits |
| topic | Number Theory 11B39, 11D61, 11D45 |
| url | https://arxiv.org/abs/2504.10138 |