| Autor: |
Douglas Catulio Santos, Eudes Antonio Costa |
| Jazyk: |
English<br />Spanish; Castilian<br />Portuguese |
| Rok vydání: |
2024 |
| Předmět: |
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| Zdroj: |
Intermaths, Vol 5, Iss 1 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2675-8318 |
| DOI: |
10.22481/intermaths.v5i1.14922 |
| Popis: |
In this paper, we investigate the classical identities of the repunit sequence with integer indices in light of the properties of Horadan-type sequences. We highlight particularly the Tagiuri-Vajda Identity and Gelin-Cesàro Identity. Additionally, we prove that no repunit is a perfect power, either even or odd. Finally, we address a divisibility criterion for the terms of repunit rn by a prime p and its powers. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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