文章基本信息

标题：On the Sum of Corresponding Factorials and Triangular Numbers: Some Preliminary Results
本地全文：下载
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：4.1
期号：5375
页码：5-11
语种：
出版社：Lyceum of the Philippines University - Batangas
摘要：A new sequence of natural numbers can be formed by adding corresponding factorials and triangular numbers. In this paper, such numbers were named factoriangular numbers. Mathematical experimentations on these numbers resulted to the establishment of some of its characteristics. These include 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 theorems and corollaries were proven and some conjectures were also presented.