Pisano periods

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The Pisano periods are the periods of the Fibonacci numbers modulo given integers. For example, the Fibonacci numbers modulo 7 are 1, 1, 2, 3, 5, 1, 6, 0, 6, 6, 5, 4, 2, 6, 1, 0, 1, 1, 2, 3, 5, 1, 6, 0, 6, 6, 5, 4, 2, 6, 1, 0, 1, 1, 2, 3, 5, 1, 6, ... (A105870) which repeats every 16 numbers, therefore the Pisano period for 7 is 16. A001175 gives the Pisano periods for $n>0$.