About Us   |   Contact Us
An International Publisher for Academic and Scientific Journals
Author Login 
 Author Login
Submit Manuscript
Join Membership
Join As Reviewer
Join As Editor
Pay Publication Fee
Subscribe Hard Copy
Scholars Journal of Engineering and Technology | Volume-2 | Issue-04
On The Generating Functions of the Powers of the K-Fibonacci Numbers
Sergio Falcon
Published: April 30, 2014 | 168 111
DOI: 10.36347/sjet
Pages: 669-675
Downloads
Abstract
In this paper we will introduce the k–Fibonacci factorial function , ! Fk n and the k–Fibonomial numbers. Then we present the generating function of the powers ofthe k–Fibonacci numbers. Finally, we study the numerators and the denominators of these functions. As consequence of this study, we find out several integer sequences some of the mare listed in the Online Encyclopedia of Integer Sequences (OEIS) and we introduce some more