F is Fibonacci number. Fm divide Fn, and m divide n.
F2=F0+F1=0+1=1
F3=F1+F2=1+1=2
F4=F2+F3=1+2=3
n=3m → F(2,8,34,144,610,2584,10946,・・・)
∴
Fm=F3=2
n=4m → F(3,21,144,987,6765,・・・)
∴
Fm=F4=3
n=5m → F(5,55,610,6765,・・・)
∴
Fm=F5=5
This is fractal and expansion.