The Fibonacci-Padovan sequences in finite groups

Abstract

The Fibonacci-Padovan sequence modulo m was studied. Also, the Fibonacci-Padovan orbits of -generator finite groups such that was examined. The Fibonacci-Padovan lengths of the groups , and for , where Z is integer, were then obtained.

Keywords

• Fibonacci-Padovan sequences
• recurrence sequences
• Fibonacci-Padovan orbits of finite groups
• matrix