Generalization of the Distance Fibonacci Sequences

被引：0

作者：

Yilmaz, Nur Seyma ^{[1
]}

Wloch, Andrej ^{[2
]}

Ozkan, Engin ^{[3
]}

机构：

[1] Erzincan Binali Yildirim Univ, Grad Sch Nat & Appl Sci, TR-24100 Erzincan, Turkiye

[2] Rzeszow Univ Technol, Fac Math & Appl Phys, PL-35959 Rzeszow, Poland

[3] Marmara Univ, Fac Sci, Dept Math, TR-34722 Istanbul, Turkiye

来源：

AXIOMS | 2024年 / 13卷 / 07期

关键词：

distance Fibonacci numbers; generalized Fibonacci numbers; negative integers; matrix generators; HEISENBERG ALGEBRAS; NUMBERS;

D O I：

10.3390/axioms13070420

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：16

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