{"title":"广义平衡数平方和的研究:求和公式$\\sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$","authors":"Y. Soykan, E. Taşdemir, C. M. Dikmen","doi":"10.58205/jiamcs.v1i1.7","DOIUrl":null,"url":null,"abstract":"In this paper, closed forms of the sum formulas $\\sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$ for generalized balancing numbers arepresented. As special cases, we give sum formulas of balancing, modified Lucas-balancing and Lucas-balancing numbers.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"42 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A study on the sum of the squares of generalized Balancing numbers: the sum formula $\\\\sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$\",\"authors\":\"Y. Soykan, E. Taşdemir, C. M. Dikmen\",\"doi\":\"10.58205/jiamcs.v1i1.7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, closed forms of the sum formulas $\\\\sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$ for generalized balancing numbers arepresented. As special cases, we give sum formulas of balancing, modified Lucas-balancing and Lucas-balancing numbers.\",\"PeriodicalId\":289834,\"journal\":{\"name\":\"Journal of Innovative Applied Mathematics and Computational Sciences\",\"volume\":\"42 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-12-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Innovative Applied Mathematics and Computational Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.58205/jiamcs.v1i1.7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Innovative Applied Mathematics and Computational Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.58205/jiamcs.v1i1.7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A study on the sum of the squares of generalized Balancing numbers: the sum formula $\sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$
In this paper, closed forms of the sum formulas $\sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$ for generalized balancing numbers arepresented. As special cases, we give sum formulas of balancing, modified Lucas-balancing and Lucas-balancing numbers.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
