On Relationship Among A New Family Of k-Fibonacci, k-Lucas Numbers, Fibonacci And Lucas Numbers
Engin Özkan*, İpek Altun and Ali Aykut Göçer* Author for corresponding; e-mail address: eozkan@erzincan.edu.tr
Volume: Vol.44 No.4 (October 2017)
Research Article
DOI:
Received: 4 May 2015, Revised: -, Accepted: 18 October 2016, Published: -
Citation: Özkan E., Altun Ä. and Göçer A.A., On Relationship Among A New Family Of k-Fibonacci, k-Lucas Numbers, Fibonacci And Lucas Numbers, Chiang Mai Journal of Science, 2017; 44(4): 1744-1750.
Abstract
We prove some theorems concerning a family of Fibonacci numbers defined in [11]. We give some relationship between the family of Fibonacci and Lucas numbers. Then we define a new family of k-Lucas numbers and prove some properties of it related to the Lucas numbers and the family of Lucas numbers.