Lehmer序列中的平方数与平方类

On Square Terms and Square Classes in Lehmer Sequences

设Vn(R,Q)表示参数为R和Q的Lehmer伴随序列.如果R和Q为互素奇数且D=R-4Q>0,我们找出了满足Qn(R,Q)或n1Qn(R,Q)是平方数的所有奇数n.这里,从而改进了文[15]的工作.

Let Vn(R, Q) be the companion Lehmer sequence with parameters R and Q. Assume that R and Q are odd coprime integers such that D = R - 4Q > 0. In this paper, we find all odd indices n such that Qn(R,Q) or n1Qn(R,Q) is a square, where and n1|n. Therefore we improve the result of [15].