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This paper deals with the study of constructing sequences of diophantine triples ( ) 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.doi:10.29371/2019.16.si-tamap-mg003 fatcat:jhdgf73jjvfsjcgwlkr7jtvbv4