Affiliation:
1. Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, Turkey
Abstract
In this study, we define hyperbolic-type k-Fibonacci numbers and then give
the relationships between the k-step Fibonacci numbers and the
hyperbolic-type k-Fibonacci numbers. In addition, we study the
hyperbolic-type k-Fibonacci sequence modulo m and then we give periods of
the Hperbolic-type k-Fibonacci sequences for any k and m which are related
the periods of the k-step Fibonacci sequences modulo m. Furthermore, we
extend the hyperbolic-type k-Fibonacci sequences to groups. Finally, we
obtain the periods of the hyperbolic-type 2-Fibonacci sequences in the
dihedral group D2m, (m ? 2) with respect to the generating pairs (x,y) and
(y, x).
Publisher
National Library of Serbia
Subject
Renewable Energy, Sustainability and the Environment
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