On Some Important Sequences and Their Relation with Pythagorean - Fermat Triples
Abstract
This article introduces some important sequences and their connection with the hypotenuse of the Fermat family triangle with the NSW, Jha, and Pell sequences. Defining an exciting fact about the sequence, {3; 17; 99; 577; ...}, which consists of the first leg, has a corresponding second leg is an even perfect square such that the triple will be Pythagorean triple. Moreover, it shows the relation between Jha and NSW sequences.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium provided the original work is properly cited.
Keywords
Pythagorean Triplets, Primitive Pythagorean Triplets, Fermat family triangle, Pell sequence, Jha sequence, NSW (Newman Shank William) sequence.
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DOI: http://dx.doi.org/10.55579/jaec.202264.383
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