Some Non-Extendable Special Dio 3-Tuples Involving Heptagonal Pyramidal Numbers

In this chapter, we look for three particular polynomials with integer coefficients to such an extent that the product of any two numbers subtracted by a non-zero number (or polynomials with integer coefficients) is a perfect square. This chapter aims at constructing special dio 3-tuples where the product of any two members of the triple with the subtraction of a non-zero integer or a polynomial with integer coefficients satisfies the required property.