Extensions of Some Parametric Families ofD(16)-Triples

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Extensions of Some Parametric Families of D(16)-Triples

Let n be an integer. A set ofm 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 + 4,4k,d}, for k ≥ 5, is a D(16)-quadruple, then d = k3 − 4k. Furthermore, if {k− 4,4k,9k− 12}, for k > 5, is a D(16)-quadruple, then d = 9k3− ...

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ژورنال

عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences

سال: 2007

ISSN: 0161-1712,1687-0425

DOI: 10.1155/2007/63739