Pisano Period Website Links For
Pisano
 

Information About

Pisano Period




The first Pisano periods (sequence in OEIS ) for ''n'' = 1, 2, ... are:

:1, 3, 8 , 6 , 20 , 24 , 16 , 12 , 24, 60 , 10 , 24, 28 , 48 , 40 , 24, 36 , 24, 18 , 60, 16, 30 , 48, 24, 100 ...

It has been observed that zero occurs only once, twice or four times throughout any Pisano sequence. Also, it can be proven that

:π(''n'') ≤ 6''n'',

and that the equality applies infinitely often (whenever ''n''/2 equals a power of 5).

Pisano periods are named after Leonardo Pisano , better known as Fibonacci.


EXTERNAL LINKS