GENERATING DIOPHANTINE TRIPLES RELATING TO FIGURATE NUMBERS WITH THOUGHT-PROVOKING PROPERTY
By
V. Pandichelvi1 and R. Vanaja2
1Postgraduate & Research Department of Mathematics
Urumu Dhanalakshmi College, Tiruchirappalli-620019, Tamil Nadu, India
(Affiliated to Bharathidasan University)
2Department of Mathematics,
AIMAN College of Arts & Science for Women, Tiruchirappalli-620021, Tamil Nadu, India
(Affiliated to Bharathidasan University)
mvpmahesh2017@gmail.com, vanajvicky09@gmail.com
(Received: June 06, 2022; Revised: August 24, 2022; Accepted: September 29, 2022)
DOI: https://doi.org/10.58250/jnanabha.2022.52212
Abstract
In this article, the process for constructing integer triples consisting of some figurate numbers specifically Star number, Centered square number and Centered hexagonal number where the arithmetic mean of any pair of the elements remains a perfect square is scrutinized. Also, Python program for conforming all the triples sustaining the desired constraint for numerical values is established.
2020 Mathematical Sciences Classification: 11B83.
Keywords and Phrases: Integer triple, Star number, Centered polygonal numbers.