On a generalization of the Pell sequence

The Pell sequence $(P_n)_{n=0}^{\infty}$ is the second order linear recurrence defined by $P_n=2P_{n-1}+P_{n-2}$ with initial conditions $P_0=0$ and $P_1=1$. In this paper, we investigate a generalization of the Pell sequence called the $k$-generalized Pell sequence which is generated by a recurrenc...

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Bibliographic Details
Main Authors: Jhon J. Bravo, Jose L. Herrera, Florian Luca
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2021-07-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/146/2/mb146_2_7.pdf