{"title":"A general formula in composition theory","authors":"Rafael Jakimczuk","doi":"10.1515/ms-2024-0043","DOIUrl":null,"url":null,"abstract":"We prove general formulae in composition theory. We study the number of restricted compositions of a positive integer <jats:italic>n</jats:italic> in <jats:italic>k</jats:italic> parts, where the parts are in very general integer sequences. Note that in compositions the order of the parts is considered.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/ms-2024-0043","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
We prove general formulae in composition theory. We study the number of restricted compositions of a positive integer n in k parts, where the parts are in very general integer sequences. Note that in compositions the order of the parts is considered.