论文标题

归化支架行和Motzkin三角形

Naturalized bracket row and Motzkin triangle

论文作者

Eremin, Gennady

论文摘要

本文考虑了Motzkin单词的顺序,该单词是根据自然数的形式特征构造的。我们研究了形成良好的括号的分解成匹配的括号对(类似于素数)。构造和研究括号对的点三角形以及数值Motzkin三角形(类似于Pascal的三角形)。为了计算Motzkin三角形,使用了恒星和条的图形方法。

The paper considers the sequence of the Motzkin words, which is constructed according to formal features of natural numbers. We investigate the decomposition of well-formed parentheses into the matched pairs of parentheses (analogous to Prime Numbers). The point triangle of bracket pairs is constructed and studied, as well as the numerical Motzkin triangle (similar to Pascal's triangle). To calculate the Motzkin triangle, the graphical method of stars and bars is used.

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