论文标题
Retakh的Motzkin路径和一些组合评论
Retakh's Motzkin paths and some combinatorial comments
论文作者
论文摘要
在埃卡德(Ekhad)的辅助下,retakh引入了仅允许在1级和平均水平上的峰值和均匀索引水平的峰值路径。我们在枚举中添加了一些组合注释,其中涉及Motzkin数字,特别是关于此类对象的平均高度。
Dyck paths where peaks are only allowed on level 1 and on even-indexed levels, were introduced by Retakh and analysed by Zeilberger, with assistance from Ekhad. We add some combinatorial comments to the enumeration, which involves Motzkin numbers, in particular, about the average height of such objects.