{"title":"On Some Special Property of The Farey Sequence","authors":"R. Saha","doi":"10.15415/mjis.2019.72016","DOIUrl":null,"url":null,"abstract":"In this paper, some special property of the Farey sequence is discussed. We prove in each term of the Farey sequence, the sum of elements in the denominator is two times of the sum of elements in the numerator. We also prove that the Farey sequence contains a palindrome structure.","PeriodicalId":166946,"journal":{"name":"Mathematical Journal of Interdisciplinary Sciences","volume":"248 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Journal of Interdisciplinary Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15415/mjis.2019.72016","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, some special property of the Farey sequence is discussed. We prove in each term of the Farey sequence, the sum of elements in the denominator is two times of the sum of elements in the numerator. We also prove that the Farey sequence contains a palindrome structure.
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