On a new one parameter generalization of Pell numbers



Abstract

In this paper we present a new one parameter generalization of the classical Pell numbers. We investigate the generalized Binet’s formula, the generating function and some identities for r-Pell numbers. Moreover, we give a graph interpretation of these numbers.


Keywords

Pell numbers; generalized Pell numbers; Binet’s formula; generating function; Merrifield–Simmons index

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Published : 2019-06-22


BródD. (2019). On a new one parameter generalization of Pell numbers. Annales Mathematicae Silesianae, 33, 66-76. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13651

Dorota Bród  dorotab@prz.edu.pl
Wydział Matematyki i Fizyki Stosowanej, Politechnika Rzeszowska im. Ignacego Łukasiewicza  Poland



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