Author(s)

Sergio Falcon

Department of Mathematics, University of Las Palmas de Gran Canaria, Las Palmas de Gran Canaria, Spain.

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 .

Fibonacci and Lucas Numbers, k -Fibonacci Numbers, Pascal Triangle

Falcon, S. (2014) Relationships between Some k -Fibonacci Sequences. Applied Mathematics, 5, 2226-2234. doi: 10.4236/am.2014.515216.