文章基本信息

标题：Recurrence Relations and Generating Functions of the Sequence of Sums of Corresponding Factorials and Triangular Numbers
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 III)
页码：165-169
出版社：Lyceum of the Philippines University - Batangas
摘要：This study established some recurrence relations and exponential generating functions of thesequence of factoriangular numbers. A factoriangular number is defined as a sum of corresponding factorialand triangular number. The proofs utilize algebraic manipulations with some known results from calculus,particularly on power series and Maclaurin’s series. The recurrence relations were found by manipulatingthe formula defining a factoringular number while the ascertained exponential generating functions were inthe closed form.
关键词：closed formula; factorial; factoriangular number; exponential generating function;recurrence relation; sequence; triangular number