Common terms of k-Pell numbers and Padovan or Perrin numbers

Abstract Let $$k\ge 2$$ k ≥ 2 . A generalization of the well-known Pell sequence is the k-Pell sequence. For this sequence, the first k terms are $$0,\ldots ,0,1$$ 0 , … , 0 , 1 and each term afterwards is given by the linear recurrence $$\begin{aligned} P_n^{(k)}=2P_{n-1}^{(k)}+P_{n-2}^{(k)}+\cdots...

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Bibliographic Details
Main Authors: Benedict Vasco Normenyo, Salah Eddine Rihane, Alain Togbé
Format: Article
Language:English
Published: SpringerOpen 2022-11-01
Series:Arabian Journal of Mathematics
Subjects:
Online Access:https://doi.org/10.1007/s40065-022-00407-8

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