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.
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页数：16
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