RT,玄关
有数列aaa,其中a0=0, a1=a2=1, an+3=an+2+an+1+ana_0 = 0,\ a_1 = a_2 = 1,\ a_{n+3}=a_{n+2}+a_{n+1}+a_na0=0, a1=a2=1, an+3=an+2+an+1+an。求证存在无穷个整数nnn使得n∣ann|a_nn∣an