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.