Falcon, S. and Plaza, A. (2007) On the Fibonacci k-Numbers. Chaos, Solitons Fractals, 32, 1615-1624.
has been cited by the following article:
TITLE: Relationships between Some k -Fibonacci Sequences
AUTHORS: Sergio Falcon
KEYWORDS: Fibonacci and Lucas Numbers, k -Fibonacci Numbers, Pascal Triangle
JOURNAL NAME: Applied Mathematics, Vol.5 No.15, August 8, 2014
ABSTRACT: In this paper, we will see that some k-Fibonacci sequences are related to the classical Fibonacci sequence of such way that we can express the terms of a k -Fibonacci sequence in function of some terms of the classical Fibonacci sequence. And the formulas will apply to any sequence of a certain set of k'-Fibonacci sequences. Thus we find k -Fibonacci sequences relating to other k -Fibonacci sequences whenσ'kis linearly dependent of.