文[1]给出了一个关于kn的不等式猜想,文[2]指出该猜想的右侧不等式,即对于正整数n,k1,不等式knkn+(k-1)k+1kn-k(n-1)+(k-1)k+1kn-1在k=2时不成立,当k2时成立.本文研究了该猜想的左侧不等式,对于正整数n,k1,不等式kn+(k-2)k+1kn-k(n-1)+(k-2)k+1kn-1kn(1)并有如下结论:结论 [1] gives a conjecture on the inequality of kn, and [2] points out the right inequality of the conjecture, that is, for a positive integer n,k1, the inequality knkn+(k-1)k+1kn-k(n-1 ) +(k-1)k+1kn-1 does not hold when k=2, and holds when k2. This paper studies the left inequality of the conjecture. For positive integers n,k1, the inequality kn+(k-2)k+ 1kn-k(n-1)+(k-2)k+1kn-1kn(1) and have the following conclusions: