A1=1 A2=A1+1=2 A3=1/A2=1/2
以上推導(dǎo)均不會使An0
n為偶數(shù)An=A(n/2)+1>1
n為奇數(shù)An=1/A(n-1) A(n-1)為偶數(shù)項(xiàng) A(n-1)>1 An1
n為偶數(shù)
A(n/2)=(An)-1=30/19-1=11/191
A((n-2)/2)為偶數(shù)項(xiàng)
A((n-2)/4)=A((n-2)/2)-1=8/111 偶數(shù)項(xiàng)
A((n-6)/8)=A((n-6)/4)-1=3/81 偶數(shù)項(xiàng)
A((n-14)/16)=A((n-14)/8)-1=5/3>1 偶數(shù)項(xiàng)
A((n-14)/32)=A((n-14)/16)-1=2/31 偶數(shù)項(xiàng)
A((n-46)/64)=A((n-46)/32)=1/21 偶數(shù)項(xiàng)
A((n-110)/128=1/A((n-110)/64)-1=1=A1
n-110/128=1
n=238
上面沒看清楚就再驗(yàn)算一遍
A238=30/19>1
A119=A238-1=11/191
A59=A118-1=8/111
A29=A58-1=3/81
A14=A28-1=5/3>1
A7=A14-1=2/31
A3=A6-1=1/21
A1=A2-1=1