AM  Vol.5 No.15 , August 2014
Relationships between Some k -Fibonacci Sequences
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 when σ'k is linearly dependent of .
Cite this paper: Falcon, S. (2014) Relationships between Some k -Fibonacci Sequences. Applied Mathematics, 5, 2226-2234. doi: 10.4236/am.2014.515216.

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