w=(√7-2)=[0:1,1,1,4,1,1,1,4,・・・]
1-w=(3-√7)=[0:1,0,1,1,4,・・・]=[0:2,1,4,・・・]
を検算。
====================================
3-√7=0+1/(3+√7)/2
=0+1/(2+(√7-1)/2)
=0+1/{2+1/(√7+1)/3}
=0+1/{2+1/(1+(√7-2)/3)}
=0+1/{2+1/(1+1/(√7+2)}
=0+1/{2+1/(1+1/(4+√7-2)}
=0+1/{2+1/{1+1/{4+1/(√7+2)/3)1/{2+・・・
====================================