{"title":"关于双周期Mersenne序列","authors":"Gül ÖZKAN KIZILIRMAK, D. Taşcı","doi":"10.33401/fujma.1078410","DOIUrl":null,"url":null,"abstract":"In this paper, the bi-periodic mersenne sequence, which is a generalization of the mersenne sequence, is defined. The characteristic function, generating function and Binet's formula for this sequence are obtained. Also, using Binet's formula, some important identities and properties for this sequence are presented.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Bi-Periodic Mersenne Sequence\",\"authors\":\"Gül ÖZKAN KIZILIRMAK, D. Taşcı\",\"doi\":\"10.33401/fujma.1078410\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the bi-periodic mersenne sequence, which is a generalization of the mersenne sequence, is defined. The characteristic function, generating function and Binet's formula for this sequence are obtained. Also, using Binet's formula, some important identities and properties for this sequence are presented.\",\"PeriodicalId\":199091,\"journal\":{\"name\":\"Fundamental Journal of Mathematics and Applications\",\"volume\":\"26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-05-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fundamental Journal of Mathematics and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.33401/fujma.1078410\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fundamental Journal of Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33401/fujma.1078410","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, the bi-periodic mersenne sequence, which is a generalization of the mersenne sequence, is defined. The characteristic function, generating function and Binet's formula for this sequence are obtained. Also, using Binet's formula, some important identities and properties for this sequence are presented.