Perpetuation of Eminent Forms of 2-Tuples into 3-Tuples
Interlacing Some k-Polygonal Numbers with Appropriate
Properties

S. Saranya; V. Pandichelvi

doi:https://doi.org/10.14445/22315373/IJMTT-V68I8P516

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 8 | Year 2022 | Article Id. IJMTT-V68I8P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I8P516

Perpetuation of Eminent Forms of 2-Tuples into 3-Tuples Interlacing Some k-Polygonal Numbers with Appropriate Properties

S. Saranya, V. Pandichelvi

Received	Revised	Accepted	Published
14 Jul 2022	12 Aug 2022	25 Aug 2022	31 Aug 2022

Abstract

In this manuscript, the patterns of 3-tuples(unmk, vnmk, wnmk), (vnmk,wnmk, xnmk), (wnmk, xnmk, ynmk), (xnmk, ynmk, znmk) etc, m=1,2,3,4,5 where the elements are some k - polygonal numbers such that the product of two numbers enlarged by certain numbers remains a perfect square are appraised. Also, the MATLAB program for the verification of all the patterns of 3-tuples sustaining dissimilar properties is exemplified.

Keywords

Diophantine triples, Integer sequence, Polygonal numbers.

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Citation :

S. Saranya, V. Pandichelvi, "Perpetuation of Eminent Forms of 2-Tuples into 3-Tuples Interlacing Some k-Polygonal Numbers with Appropriate Properties," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 8, pp. 167-176, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I8P516