{"title":"论帕多万数的一般化","authors":"Sergio Falcon","doi":"10.9734/jamcs/2024/v39i31876","DOIUrl":null,"url":null,"abstract":"This paper studies an extension of the classical Padovan sequence and that contains this as a particular case. Some very interesting formulas are found for the sum of these new sequences, for the sum of their squares as well as their self-convolution.","PeriodicalId":503149,"journal":{"name":"Journal of Advances in Mathematics and Computer Science","volume":"49 12","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On a Generalization of the Padovan Numbers\",\"authors\":\"Sergio Falcon\",\"doi\":\"10.9734/jamcs/2024/v39i31876\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper studies an extension of the classical Padovan sequence and that contains this as a particular case. Some very interesting formulas are found for the sum of these new sequences, for the sum of their squares as well as their self-convolution.\",\"PeriodicalId\":503149,\"journal\":{\"name\":\"Journal of Advances in Mathematics and Computer Science\",\"volume\":\"49 12\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Advances in Mathematics and Computer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.9734/jamcs/2024/v39i31876\",\"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 Advances in Mathematics and Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.9734/jamcs/2024/v39i31876","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This paper studies an extension of the classical Padovan sequence and that contains this as a particular case. Some very interesting formulas are found for the sum of these new sequences, for the sum of their squares as well as their self-convolution.
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