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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 | 264 161
DOI: 10.36347/sjet
Pages: 669-675
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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