Published March 23, 2023
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GENERATING INFINITELY MANY PERFECT SQUARES AMONG NARAYANA NUMBERS
Creators
- 1. Independent Post Doctoral Research Fellow, School of Science, British National University of Queen Mary, Delaware, United States of America
Description
The Narayana numbers [endif]--> form a triangular array of positive integers, introduced in 1915-1916 by the combinatorialist P. A. MacMahon, and rediscovered in 1955 by the statistician T. V. Narayana. Among Narayana numbers, it turns out that N (1728,28) is a perfect square. A natural question that would arise is whether there exist other values of a such that [endif]-->forms a perfect square? In this paper, we discuss ways of determining infinitely many values of a, for given choice of[endif]-->, such that the Narayana numbers [endif]-->forms a perfect square.
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References
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