Naturalized bracket row and Motzkin triangle
Combinatorics
2020-04-22 v1 Number Theory
Abstract
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.
Cite
@article{arxiv.2004.09866,
title = {Naturalized bracket row and Motzkin triangle},
author = {Gennady Eremin},
journal= {arXiv preprint arXiv:2004.09866},
year = {2020}
}
Comments
13 pages, 3 figures