On a new one parameter generalization of Pell numbers

Dorota Bród

Published: 2019-06-22

Vol. 33 (2019)

On a new one parameter generalization of Pell numbers

Dorota Bród

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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Bród, D. (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

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References

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Vol. 33 (2019)
Published: 2019-07-18

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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