{"title":"On Gaussian Leonardo Numbers","authors":"Dursun Tas¸cı","doi":"10.47443/cm.2022.064","DOIUrl":null,"url":null,"abstract":"The Gaussian Leonardo sequence is a new sequence defined in this study. Some identities for this new sequence are given. Some relations among the Gaussian Fibonacci numbers, Gaussian Lucas numbers, and Gaussian Leonardo numbers are also proven. Moreover, a matrix representation of the Gaussian Leonardo numbers is obtained.","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2023-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Contributions To Discrete Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.47443/cm.2022.064","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 2
Abstract
The Gaussian Leonardo sequence is a new sequence defined in this study. Some identities for this new sequence are given. Some relations among the Gaussian Fibonacci numbers, Gaussian Lucas numbers, and Gaussian Leonardo numbers are also proven. Moreover, a matrix representation of the Gaussian Leonardo numbers is obtained.
期刊介绍:
Contributions to Discrete Mathematics (ISSN 1715-0868) is a refereed e-journal dedicated to publishing significant results in a number of areas of pure and applied mathematics. Based at the University of Calgary, Canada, CDM is free for both readers and authors, edited and published online and will be mirrored at the European Mathematical Information Service and the National Library of Canada.