The twin Fibonacci sequence is proposed, and its properties, equations and theorems are given in the paper. The least period of the twin Fibonacci sequence is defined, and the theorem of the least period of the twin Fibonacci sequence mod p~r is proved by means of the mathematical induction. Moreover, the exact division properties on the periods of its module sequence are discussed. These conclusions open up a new way for studying the transformation matrix and the periodic problem of higher-dimensional Arnold.
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