Honeycombs in the Pascal triangle and beyond
History and Overview
2022-03-25 v1
Abstract
In this paper we present a geometric approach to discovering some known and some new identities using triangular arrays. Our main aim is to demonstrate how to use the geometric patterns (by Carlitz), in the Pascal and Hosoya triangles to rediscover some classical identities and integer sequences. Therefore, we use new techniques in classical settings which then provide a new perspective in undergraduate research.
Cite
@article{arxiv.2203.13205,
title = {Honeycombs in the Pascal triangle and beyond},
author = {Matthew Blair and Rigoberto Flórez and Antara Mukherjee},
journal= {arXiv preprint arXiv:2203.13205},
year = {2022}
}
Comments
This paper was partially published in Math Horizons, February 2022