作者:Jia; Yuan; HU; Wen; Peng; ZHANG序列猜想数学归纳法分析技巧渐近性质渐近公式最大值组合和
摘要:Let q_1=1,and q_n be the largest value of(k+1)(n-q_k) for all integers 1≤k≤n-1with n≥2.The sequence Q={q1,q2,q3,...} is called Levine–O'Sullivan sequence.In this paper,we use the combinational and analysis skill and the mathematical induction to study the asymptotic properties of q_n,and give an interesting asymptotic formula for it.This solved a conjecture proposed by Professor Chen Yonggao.
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