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文章基本信息

  • 标题:On the Sum of Corresponding Factorials and Triangular Numbers: Some Preliminary Results
  • 作者:Romer C. Castillo, M.Sc
  • 期刊名称:Asia Pacific Journal of Multidisciplinary Research
  • 印刷版ISSN:2350-7756
  • 电子版ISSN:2350-8442
  • 出版年度:2015
  • 卷号:3
  • 期号:4(Part I)
  • 页码:5-11
  • 出版社:Lyceum of the Philippines University - Batangas
  • 摘要:A new sequence of natural numbers can be formed by adding corresponding factorials andtriangular numbers. In this paper, such numbers were named factoriangular numbers. Mathematicalexperimentations on these numbers resulted to the establishment of some of its characteristics. Theseinclude the parity, compositeness, the number and sum of its positive divisors, abundancy and deficiency,Zeckendorf’s decomposition, end digits, and digital roots of factoriangular numbers. Several theoremsand corollaries were proven and some conjectures were also presented
  • 关键词:factorial; factoriangular number; triangular number
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