On Sequences of Diophantine 3-Tuples generated through Euler and Bernoulli Polynomials

Abstract

This paper deals with the study of constructing sequences of diophantine triples () c b a , , such that the product of any two elements of the set added by a polynomial with integer coefficient is a perfect square. Diophantine 3-tuples, Euler Polynomials , Bernoulli Polynomials.