<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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 <italic>r</italic>-Pell numbers. Moreover, we give a graph interpretation of these numbers.</p></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.

On a New One Parameter Generalization of Pell Numbers

Faculty of Mathematics and Applied Physics

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On a New One Parameter Generalization of Pell Numbers"}

In this paper we present a new one parameter generalization of the classical Pell numbers. We investigate the generalized Binet’s formula, the generating...

On a New One Parameter Generalization of Pell Numbers

Published Online: Jul 18, 2019

Page range: 66 - 76

Received: Feb 06, 2019

Accepted: May 31, 2019

DOI: https://doi.org/10.2478/amsil-2019-0011

Keywords
Pell numbers, generalized Pell numbers, Binet’s formula, generating function, Merrifield_Simmons index

© 2019 Dorota Bród, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On a New One Parameter Generalization of Pell Numbers

Published Online: Jul 18, 2019

Page range: 66 - 76

Received: Feb 06, 2019

Accepted: May 31, 2019

DOI: https://doi.org/10.2478/amsil-2019-0011

KeywordsPell numbers, generalized Pell numbers, Binet’s formula, generating function, Merrifield_Simmons index

© 2019 Dorota Bród, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Pell numbers, generalized Pell numbers, Binet’s formula, generating function, Merrifield_Simmons index