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  • 标题:On the Sum of Corresponding Factorials and Triangular Numbers: Runsums, Trapezoids and Politenes s
  • 本地全文:下载
  • 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 II)
  • 页码:95-101
  • 出版社:Lyceum of the Philippines University - Batangas
  • 摘要:When corresponding numbers in the sequence of factorials and sequence of triangular numbers are added, a new sequence of natural numbers is formed. In this study, these positive integers are called factoriangular numbers. Closely related to these new numbers are the runsums, trapezoidal and polite numbers. Some theorems on runsum representations of factoriangular numbers are proven here, as well as, a theorem on factoriangular number being represented as difference of two triangular numbers. Unambiguous definitions of trapezoidal number and number of trapezoidal arrangements are also given, including how these differ from runsum, polite number, number of runsums and politeness
  • 关键词:factoriangular number; polite number; runsum; trapezoidal arrangement; trapezoidal number
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