AM  Vol.5 No.15 , August 2014
Relationships between Some k -Fibonacci Sequences
Author(s) Sergio Falcon*
ABSTRACT
In this paper, we will see that some -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.
References
[1]   Falcon, S. and Plaza, A. (2007) On the Fibonacci k-Numbers. Chaos, Solitons Fractals, 32, 1615-1624.

[2]   Falcon, S. and Plaza, A. (2007) Thek-Fibonacci Sequence and the Pascal 2-Triangle. Chaos, Solitons Fractals, 33, 38-49.

[3]   Spinadel, V.W. (1999) The family of Metallic Means. Vis Math, 1.
http://members.tripod.com/vismath/

[4]   Sloane, N.J.A. The Online Encyclopedia of Integer Sequences. http://oeis.org

[5]   Falcon, S. and Diaz-Barreiro, J.L. (2006) Some Properties of Sums Involving Pell Numbers. Missouri Journal of Mathematical of Sciences, 18, 33-40.

 
 
Top