Fermat and Mersenne numbers in $k$-Pell sequence

For an integer $k\geq 2$, let $(P_n^{(k)})_{n\geq 2-k}$ be the $k$-generalized Pell sequence, which starts with $0,\ldots,0,1$ ($k$ terms) and each term afterwards is defined by the recurrence $ P_n^{(k)}=2P_{n-1}^{(k)}+P_{n-2}^{(k)}+\cdots +P_{n-k}^{(k)},\quad \text{for all }n \geq 2. $ For any pos...

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Bibliographic Details
Main Authors: B. Normenyo, S. Rihane, A. Togbe
Format: Article
Language:deu
Published: Ivan Franko National University of Lviv 2021-12-01
Series:Математичні Студії
Subjects:
Online Access:http://matstud.org.ua/ojs/index.php/matstud/article/view/251
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