High Quality Content by WIKIPEDIA articles! In mathematics, the nth Pisano period, written (n), is the period with which the sequence of Fibonacci numbers, modulo n repeats. For example, the Fibonacci numbers mod 3 are 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, etc., with the first eight numbers repeating, so (3) = 8. Pisano periods are named after Leonardo Pisano, better known as Fibonacci. The Fibonacci sequence is named after Leonardo of Pisa, who was known as Fibonacci (a contraction of filius Bonaccio, "son of Bonaccio"). Fibonacci's 1202 book Liber Abaci introduced the sequence to Western European mathematics, although the sequence had been previously described in Indian mathematics.

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