通过帕斯卡型三角形论莱昂纳多序列

IF 1.3 4区数学 Q1 MATHEMATICS

Journal of Mathematics Pub Date : 2024-04-16 DOI:10.1155/2024/9352986

Serpil Halıcı, Sule Curuk

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引用次数: 0

摘要

在本研究中，我们讨论了最近研究的莱昂纳多数列，它引起了更多的关注。我们使用了帕斯卡三角形和细叶三角形，以便于研究这些数的基本性质。借助本研究中获得的性质，我们定义了一个数列，其中包含通过从二复数中选择系数而创建的新型莱昂纳多数。此外，我们还给出了这个新定义数列与斐波那契数列的关系。我们还提供了本文所描述的这个数列的元素在文献中提供的一些重要标识。

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On the Leonardo Sequence via Pascal-Type Triangles

In this study, we discussed the Leonardo number sequence, which has been studied recently and caught more attention. We used Pascal and Hosoya-like triangles to make it easier to examine the basic properties of these numbers. With the help of the properties obtained in this study, we defined a number sequence containing the new type of Leonardo numbers created by choosing the coefficients from the bicomplex numbers. Furthermore, we gave the relationship of this newly defined sequence with the Fibonacci sequence. We also provided some important identities in the literature provided by the elements of this sequence described in this paper.

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来源期刊

Journal of Mathematics Mathematics-General Mathematics

CiteScore

2.50

自引率

14.30%

发文量

期刊介绍： Journal of Mathematics is a broad scope journal that publishes original research articles as well as review articles on all aspects of both pure and applied mathematics. As well as original research, Journal of Mathematics also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.