Suites r\'ecurrentes lin\'eaires d'ordre 2 \`a divisibilit\'e forte
| Autor: | Bauval, A. |
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| Jazyk: | francouzština |
| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | RMS (Revue des Math\'ematiques de l'Enseignement Sup\'erieur), n{\deg} 127-3, 2017 |
| Druh dokumentu: | Working Paper |
| Popis: | We reprove twice, in a simpler but as elementary way, a result by Hor\'ak and Skula (1985) who determined, among all sequences of integers defined by $$u_1=1,\quad u_2=R,\quad u_{n+2}=Pu_{n+1}-Qu_n$$ for some integers $P,Q,R$, those which satisfy the strong divisibility condition $$\forall i,j\in\mathbb N^*\quad u_i\land u_j=\left|u_{i\land j}\right|,$$ where $\land$ denotes the greatest common divisor. Comment: in French |
| Databáze: | arXiv |
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