Author/Authors :
Bahramian، M. نويسنده Department of Pure Mathematics,Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran Bahramian, M. , Daghigh، H. نويسنده Department of Pure Mathematics,Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran Daghigh, H.
Abstract :
In this paper some properties of a generalization of Fibonacci
sequence are investigated. Then we solve the Diophantine equations x2±
kxy?y2 ±x = 0, where k is a positive integer, and describe the structure
of solutions.