The Periodicity of Modular Sequence of Fibonacci Sequence
2007
For the Fibonacci sequence {Fn} and positive integer m,the new sequence {an} which composed of least non-negative residue an of module m on Fn is called modular sequence of Fibonacci sequence.Based on the elementary number theory and mathematical induction,this paper proves that the modular sequence of Fibonacci sequence is both a periodic sequence and a simple periodic sequence.
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