Binomial coefficients and multifactorial numbers through generative grammars
Combinatorics
2018-08-21 v1
Abstract
In this paper, the formal derivative operator defined with respect to context-free grammars is used to prove some properties about binomial coefficients and multifactorial numbers. In addition, we extend the formal derivative operator to matrix grammars and show that multifactorial numbers can also be generated.
Cite
@article{arxiv.1808.06313,
title = {Binomial coefficients and multifactorial numbers through generative grammars},
author = {Juan Triana and Rodrigo De Castro},
journal= {arXiv preprint arXiv:1808.06313},
year = {2018}
}