A note for “On the rational recursive sequence xn+1=A+∑i=0kαixn-i∑i=0kβixn-i”

In this paper, we continue to study some properties, such as the existence of non-oscillatory solution, boundedness and persistence, global asymptotic stability, etc., for the rational difference equation in the title, which has been investigated in the known literature. We first point out some errors for the results in the known literature, then solve some questions existing in the known literature and finally state some new results.