Computing support for testing equal values of the figurative numbers in the Pascal triangle Miroslava Mihajlov Carević 1 ; Miloš Ilić 2 ; Milena Petrović 3 ; Nebojša Denić 4 1 Faculty of Mathematics and Computer Science, Alfa BK University, Beograd, Serbia, miroslava.carevic.mihajlov@alfa.edu.rs 2 Faculty of Mathematics and Computer Science, Alfa BK University, Beograd, Serbia, milos.ilic@alfa.edu.rs 3 Faculty of Science and Mathematics, University of Priština, Kosovska Mitrovica, Serbia milena.petrovic@pr.ac.rs 4 Faculty of Science and Mathematics, University of Priština, Kosovska Mitrovica, Serbia nebojsa.denic@alfa.edu.rs Abstract: In this paper we deal with a determination of numbers in a Pascal triangle that are simultaneously triangular, tetrahedral and hyper pyramidal, i.e. natural numbers n, m, k ϵ N, such that it is ( n 2 ) = ( m 3 ) = ( k 4 ) for n, m, k ϵ N and n ≥ 2, m ≥ 3, k ≥ 4. The collected results, obtained by mathematical analysis, were verified by computer. For this purpose, we used the C# programming language as well as the computer laboratory within our University in order to test the results. The results collected by computer confirmed the accuracy of the results obtained by mathematical analysis. Keywords: Pascal triangle, computer support, figurative numbers. 1. Introduction In a Pascal triangle consisting of binomial coefficients ( n k ) for n, k ϵ N and k ≤ n, there is a presence of figurative numbers. The presence of triangular, tetrahedral and pentaedroid numbers is of particular interest to us. It is known that figurative numbers can be represented by a geometric representation with equally spaced points with each point representing a unit. Each figurative number is represented by a geometric object of the same type. Triangular numbers are represented by triangles, tetrahedral numbers by tetrahedrals, while pentaedroid numbers are hyper pyramidal 36 Technium Vol. 2, Issue 7 pp.36-41 (2020) ISSN: 2668-778X www.techniumscience.com