论文标题
帕斯卡三角及以后的蜂窝
Honeycombs in the Pascal triangle and beyond
论文作者
论文摘要
在本文中,我们提出了一种使用三角阵列发现一些已知和一些新身份的几何方法。我们的主要目的是演示如何在Pascal和Hosoya Triangles中使用几何模式(由Carlitz)重新发现了一些经典的身份和整数序列。因此,我们在经典环境中使用新技术,然后在本科研究中提供了新的观点。
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.