Conics Characterizing the Generalized Fibonacci And Lucas Sequences with Indices In Arithmetic Progressions

Emrah Kilic1, Nese Omur2
1 TOBB UNIVERSITY OF ECONOMICS AND TECHNOLOGY MATHEMATICS DEPARTMENT 06560 ANKaRA TURKEY
2KocaEL! UNIVERSITY MATHEMATICS DEPARTMENT 41380 IzmIT TURKEY

Abstract

In this paper, we determine the conics characterizing the generalized Fibonacci and Lucas sequences with indices in arithmetic progressions, generalizing work of Melham and McDaniel.