A note on k-Pell, k-Pell-Lucas and Modified k-Pell numbers with arithmetic indexes

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Published Sep 5, 2019

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Paula M. M. C. Catarino
Department of Mathematics, University of Trás-os-Montes e Alto Douro, Quinta de Prados, Vila Real, Portugal
Helena Campos
Department of Mathematics, University of Trás-os-Montes e Alto Douro, Quinta de Prados, Vila Real, Portugal
Paulo J. M. Vasco
Department of Mathematics, University of Trás-os-Montes e Alto Douro, Quinta de Prados, Vila Real, Portugal

Abstract

In this paper, we define the k-Pell, k-Pell-Lucas and Modified k-Pell numbers with arithmetic indexes, study some properties of these sequences of numbers and give their generating functions.

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How to Cite
Catarino, P., Campos, H., & Vasco, P. (2019). A note on k-Pell, k-Pell-Lucas and Modified k-Pell numbers with arithmetic indexes. Acta Mathematica Universitatis Comenianae, 89(1), 97-107. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/1027/782
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Vol 89 No 1 (2020): AMUC
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Articles