The Self-similar Structure of the Distribution of Absolute Minimum Remainder of Combinatorial Number Mod Five of Pascal Triangle
Guijin Zhu · Journal of Henan Institute of Education · 2015
Some specific triangles in Pascal Triangles are defined,namely n dimension based triangle,n dimension zero triangle,n dimension double triangle,n dimension contrary triangle,n dimension contrary-double triangle and n dimension triangle.Based on these definitions,a hypothesis is put forward.It proves that n + 1 dimension based triangle in Pascal Triangle can be achieved through some particular arrangement of n dimension triangle.Thus,the distribution of absolute minimum remainder of combinatorial number mod five shows a self-similar structure.