The cyclic-Fibonacci hybrid sequence in groups

The aim of this paper is to introduce the cyclic-Fibonacci hybrid sequence and give some properties. By taking into account the cyclic-Fibonacci hybrid sequence modulo m, the method will be given to determine the period lengths of this sequence according to the different m values. In the final part of this paper, we study the cyclic-Fibonacci hybrid sequence in groups and then we calculate the cyclic-Fibonacci hybrid lengths of polyhedral groups (۲,۲,۲), (۲,n,۲) and (n,۲,۲) as applications of the results produced.

کلیدواژه ها:

Fibonacci Hybrid Sequence ، Groups ، Period ، Presentation