论文标题
蜂窝状条和高阶斐波那契数的瓷砖数字
Tilings of a Honeycomb Strip and Higher Order Fibonacci Numbers
论文作者
论文摘要
在本文中，我们探讨了蜂窝状条的两种瓷砖，并为瓷砖数量得出了一些封闭的形式公式。此外，我们获得了一些涉及Tribonacci数字，Padovan数字和Narayana的牛序列的新身份，并为有关这些数字的几种已知身份提供了组合证明。
In this paper we explore two types of tilings of a honeycomb strip and derive some closed form formulas for the number of tilings. Furthermore, we obtain some new identities involving tribonacci numbers, Padovan numbers and Narayana's cow sequence and provide combinatorial proofs for several known identities about those numbers.
