文章基本信息

标题：On the Sum of Corresponding Factorials and Triangular Numbers: Runsums, Trapezoids and Politeness
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作者：Romer C. Castillo
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：4.2
期号：7341
页码：95-101
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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.