论文标题
船尾序列中的记录
Record-Setters in the Stern Sequence
论文作者
论文摘要
Stern's diatomic series, denoted by $(a(n))_{n \geq 0}$, is defined by the recurrence relations $a(2n) = a(n)$ and $a(2n + 1) = a(n) + a(n + 1)$ for $n \geq 1$, and initial values $a(0) = 0$ and $a(1) = 1$.序列$（s（n））_ {n \ geq 0} $的记录设定是一个索引$ v $，因此$ s（i）<s（v）$均保留所有$ i <v $。在本文中，我们对船尾序列的记录制定者进行了完整的描述。
Stern's diatomic series, denoted by $(a(n))_{n \geq 0}$, is defined by the recurrence relations $a(2n) = a(n)$ and $a(2n + 1) = a(n) + a(n + 1)$ for $n \geq 1$, and initial values $a(0) = 0$ and $a(1) = 1$. A record-setter for a sequence $(s(n))_{n \geq 0}$ is an index $v$ such that $s(i) < s(v)$ holds for all $i < v$. In this paper, we give a complete description of the record-setters for the Stern sequence.
