一个加细Lassalle序列的单峰性
Unimodality of a refinement of Lassalle's sequence
摘要：
Defant、Engen和Miller通过考虑长度为$2k+1$且第一个元素为$\ell$的唯一排序的排列，定义了Lassalle序列$A_{k+1}$的精化。他们证明了每个这样的序列在$\ell$中是对称的，并推测这些序列是单峰的。我们证明了序列是单峰的。
英文摘要：
Defant, Engen, and Miller defined a refinement of Lassalle's sequence $A_{k+1}$ by considering uniquely sorted permutations of length $2k+1$ whose first element is $\ell$. They showed that each such sequence is symmetric in $\ell$ and conjectured that these sequences are unimodal. We prove that the sequences are unimodal.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
