%0 Journal Article %T Extensions of Some Parametric Families of -Triples %A Alan Filipin %J International Journal of Mathematics and Mathematical Sciences %D 2007 %I Hindawi Publishing Corporation %R 10.1155/2007/63739 %X Let n be an integer. A set of m positive integers is called a D(n)-m-tuple if the product of any two of them increased by n is a perfect square. In this paper, we consider extensions of some parametric families of D(16)-triples. We prove that if {k−4,k %U http://www.hindawi.com/journals/ijmms/2007/063739/abs/