In number theory, the nth Pisano period, written π(n), is the period with which the sequence of Fibonacci numbers, modulo n repeats. For example, the Fibonacci numbers modulo 3 are 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, etc., with the first eight numbers repeating, so π(3) = 8.
Pisano periods are named after Leonardo Pisano, better known as Fibonacci. The existence of periodic functions in Fibonacci numbers was noted by Joseph Louis Lagrange in 1774.
Read more about Pisano Period: Tables, Sums, Powers of 10, Cultural References, Fibonacci Integer Sequences Modulo n
Famous quotes containing the word period:
“There is always a period when a man with a beard shaves it off. This period does not last. He returns headlong to his beard.”
—Jean Cocteau (1889–1963)