This paper is concerned with an interesting Diophantine problem on triplet. A search is made on finding three non-zero distinct integers namely a,b,c such that each of the expressions a + 2b, a + 2c is a perfect square and b − c is twice a cubical integer.Infinitely may such triplets are obtained.
International Journal of Pure Mathematical Sciences (Volume 16)
S. Vidhyalakshmi et al., "Construction of a Special Integer Triplet-I", International Journal of Pure Mathematical Sciences, Vol. 16, pp. 24-29, 2016