Geodesic
A note on k-Pell, k-Pell-Lucas and Modified k-Pell numbers with arithmetic indexes
Paula M. M. C. Catarino1 ; Helena Campos1 ; Paulo J. M. Vasco1 ; Paula M. M. C. Catarino ; Helena Campos ; Paulo J. M. Vasco
1Department of Mathematics, University of Trás-os-Montes e Alto Douro, Quinta de Prados, Vila Real, Portugal
Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 1, pp. 97-107 
Paula M. M. C. Catarino; Helena Campos; Paulo J. M. Vasco; Paula M. M. C. Catarino; Helena Campos; Paulo J. M. Vasco. A note on k-Pell, k-Pell-Lucas and Modified k-Pell numbers with arithmetic indexes. Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 1, pp. 97-107. http://geodesic.mathdoc.fr/item/AMUC_2020_89_1_a9/
@article{AMUC_2020_89_1_a9,
     author = {Paula M. M. C. Catarino and Helena Campos and Paulo J. M. Vasco and Paula M. M. C. Catarino and Helena Campos and Paulo J. M. Vasco},
     title = { A note on {k-Pell,} {k-Pell-Lucas} and {Modified} {k-Pell} numbers with arithmetic indexes},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {97--107},
     year = {2020},
     volume = {89},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2020_89_1_a9/}
}
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Voir la notice de l'article provenant de la source Comenius University

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.