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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Wydział Matematyki i Fizyki Stosowanej, Politechnika Rzeszowska im. Ignacego Łukasiewicza Poland
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