Armenian Journal of Mathematics最新文献

筛选
英文 中文
A Note on Bi-Periodic Leonardo Sequence 关于双周期莱昂纳多序列的说明
Armenian Journal of Mathematics Pub Date : 2024-05-14 DOI: 10.52737/18291163-2024.16.5-1-17
Paula Maria Machado Cruz Catarino, E. Spreafico
{"title":"A Note on Bi-Periodic Leonardo Sequence","authors":"Paula Maria Machado Cruz Catarino, E. Spreafico","doi":"10.52737/18291163-2024.16.5-1-17","DOIUrl":"https://doi.org/10.52737/18291163-2024.16.5-1-17","url":null,"abstract":"In this work, we define a new generalization of the Leonardo sequence by the recurrence relation $GLe_n=aGLe_{n-1}+GLe_{n-2}+a$ (for even $n$) and $GLe_n=bGLe_{n-1}+GLe_{n-2}+b$ (for odd $n$) with the initial conditions $GLe_0=2a-1$ and $GLe_1=2ab-1$, where $a$ and $b$ are real nonzero numbers. Some algebraic properties of the sequence ${GLe_n}_{n geq 0}$ are studied and several identities, including the generating function and Binet's formula, are established.","PeriodicalId":505381,"journal":{"name":"Armenian Journal of Mathematics","volume":"49 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140978978","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信