{"title":"A New Like Fibonacci Sequence and Its Properties","authors":"Yong-jiang Li, Chang-li Li, Jian-hua Ge, Z. Sun","doi":"10.1109/DBTA.2010.5658925","DOIUrl":null,"url":null,"abstract":"The Twin Fibonacci sequences are first defined and their linear expressions are given in this paper.The sequence{U_n} which is constituted by the matrix eigenvalues is defined and a discussion is given to its properties,including some exact division properties of the sequence{U_n} taken modulo m,and the theorem on the least period for module sequence{u_n(p^r)} is shown. Moreover,the relationship theorem between the module sequence of the sequence{U_n} about m and that for the Twin Fibonacci sequence is given in the paper,providing necessary mathematical support for further studying the properties of the Twin Fibonacci sequence.","PeriodicalId":320509,"journal":{"name":"2010 2nd International Workshop on Database Technology and Applications","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 2nd International Workshop on Database Technology and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DBTA.2010.5658925","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
The Twin Fibonacci sequences are first defined and their linear expressions are given in this paper.The sequence{U_n} which is constituted by the matrix eigenvalues is defined and a discussion is given to its properties,including some exact division properties of the sequence{U_n} taken modulo m,and the theorem on the least period for module sequence{u_n(p^r)} is shown. Moreover,the relationship theorem between the module sequence of the sequence{U_n} about m and that for the Twin Fibonacci sequence is given in the paper,providing necessary mathematical support for further studying the properties of the Twin Fibonacci sequence.
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