Generalization of the Distance Fibonacci Sequences-Reference-Cited by-同舟云学术

Generalization of the Distance Fibonacci Sequences

Published:2024-06-21 Issue:7 Volume:13 Page:420
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Yilmaz Nur Şeyma¹^ORCID,Włoch Andrej²^ORCID,Özkan Engin³^ORCID

Affiliation:

1. Graduate School of Natural and Applied Sciences, Erzincan Binali Yıldırım University, Erzincan 24100, Türkiye

2. Faculty of Mathematics and Applied Physics, Rzeszów University of Technology, 35-959 Rzeszów, Poland

3. Department of Mathematics, Faculty of Science, Marmara University, Istanbul 34722, Türkiye

Abstract

In this study, we introduced a generalization of distance Fibonacci sequences and investigate some of its basic properties. We then proposed a generalization of distance Fibonacci sequences for negative integers and investigated some basic properties. Additionally, we explored the construction of matrix generators for these sequences and offered a graphical representation to clarify their structure. Furthermore, we demonstrated how these generalizations can be applied to obtain the Padovan and Narayana sequences for specific parameter values.

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/7/420/pdf

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