Romer C. Castillo, M.Sc.
Batangas State University, Batangas City, Batangas, Philippines
romercastillo@rocketmail.com
Date Received: July 17, 2015; Date Revised: October 5, 2015
Asia Pacific Journal of Multidisciplinary Research
Vol. 3 No. 4, 5-11
November 2015 Part I
P-ISSN 2350-7756
E-ISSN 2350-8442
On the Sum of Corresponding Factorials and Triangular Numbers: Some Preliminary Results 743 KB 1 downloads
Romer C. Castillo, M.Sc. Batangas State University, Batangas City, Batangas, Philippines romercastillo@rocketmail.com Date...
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.
Keywords – factorial, factoriangular number, triangular number