On the Properties of New Families of Pell and Pell-Lucas Numbers

Havva Gokkaya1, Kemal Uslu1
1SELCUK UNIVERSITY, SCIENCE FACULTY, DEPARTMENT OF MATHEMATICS, 42075, CAM- pus. Konya, TURKEY

Abstract

In this paper, new families of Pell and Pell-Lucas numbers are introduced. In addition, we present the recurrence relations
and the generating functions of the new families for \(k = 2.\)