论文标题
生成归化系列的功能：有序的motzkin单词的情况
Generating function for Naturalized Series: The case of Ordered Motzkin Words
论文作者
论文摘要
我们继续考虑有序的词典序列，该序列是根据一系列自然数的形式特征构建的。为了进行分析，我们选择了用零，motzkin单词的平衡括号。如您所知，生成功能使您可以通过分析方法处理组合对象。 Motzkin单词被Motzkin数字列出，对于具有相应的生成函数的生成。在我们的情况下，对Motzkin单词施加了限制，例如，括号集中没有领先的零。本文的目的是获得这种修改后的Motzkin单词的生成函数。
We continue to consider the ordered lexicographic sequence, which is constructed according to the formal characteristics of a series of natural numbers. For analysis, we selected balanced parentheses with zeros, Motzkin words. As you know, generating functions allow you to work with combinatorial objects by analytical methods. Motzkin words are enumerated by Motzkin numbers, for the generation of which there is a corresponding generating function. In our case, restrictions are imposed on Motzkin words, for example, there are no leading zeros in bracket sets. The purpose of this article is to obtain the generating function of such modified Motzkin words.
