Open AccessTriangle of Triangular Numbers
Author(s) -
R. Sivaraman
Publication year - 2021
Publication title -
international journal of mathematics and computer research
Language(s) - English
Resource type - Journals
ISSN - 2320-7167
DOI - 10.47191/ijmcr/v9i10.01
Subject(s) - pythagorean triple , mathematics , bijection , combinatorics , triangle inequality , set (abstract data type) , binomial coefficient , isosceles triangle , pythagorean theorem , discrete mathematics , computer science , geometry , programming language
Among several interesting number triangles that exist in mathematics, Pascal’s triangle is one of the best triangle possessing rich mathematical properties. In this paper, I will introduce a number triangle containing triangular numbers arranged in particular fashion. Using this number triangle, I had proved five interesting theorems which help us to generate Pythagorean triples as well as establish bijection between whole numbers and set of all integers.