由 --- 於 星期四 五月 15, 2003 10:24 pm
Cycles in the Fibonacci numbers
---------------------------------------------------
Here are some patterns people have already noticed:
There is a cycle in the units column - the cycle of units digits (0,1,1,2,3,5,8,13,21,34,55,...) repeats from n=60 and again every 60 values.
There is also a cycle in the last two digits, repeating (00, 01, 01, 02, 03, 05, 08, 13, ...) from n=300 with a cycle of length 300.
For the last three digits, the cycle length is 1,500
for the last four digits,the cycle length is 15,000 and
for the last five digits the cycle length is 150,000