A conjecture posed by Melham for Un2k+Un+12k in [2] is considered in this article.Several positive results on Vn+s2k +(-1)k(p2-4)kUn2k and V n2k+(-1)k(p2-4)kUn+s2k are achieved which generalize existed results on V n+...A conjecture posed by Melham for Un2k+Un+12k in [2] is considered in this article.Several positive results on Vn+s2k +(-1)k(p2-4)kUn2k and V n2k+(-1)k(p2-4)kUn+s2k are achieved which generalize existed results on V n+12-(p2-4)Un2 and Vn2-(p2-4)Un+12.展开更多
基金Foundation item: Supported by the National Natural Science Foundation of China(10771093)
文摘A conjecture posed by Melham for Un2k+Un+12k in [2] is considered in this article.Several positive results on Vn+s2k +(-1)k(p2-4)kUn2k and V n2k+(-1)k(p2-4)kUn+s2k are achieved which generalize existed results on V n+12-(p2-4)Un2 and Vn2-(p2-4)Un+12.