关于序列U_n(P,Q,R)中的k次方数

On k-th power in U_n(P,Q,R)

定义了新的序列Un(P,Q,R),并得到了序列Un(P,Q,R)的通项公式.同时,利用初等方法研究了当Un(P,Q,R)不是k次方数时,参数的取值情况.

Let P ,Q ,R be integers ,a new sequence Un (P ,Q ,R) is defined .By using the elemen‐tary method ,the values of parameters when Un(P ,Q ,R) is not the k‐th power is studied and a general term formula for Un(P ,Q ,R) is obtained .