凱特蘭數及其他相關數

Abstract

有許多的離散數學的結構可由凱特蘭數作計算。現今，有許多有關於凱特蘭數的延伸應用在討論研究著，例如說那羅延數及默辭金數。在本文章中，我們收集四個與凱特蘭數有關的組合問題，並介紹其推導過程。其他與凱特蘭數相關的數也被討論。

There are many combinatorial structures counted by Catalan numbers. So far, many other applications relative to Catalan numbers are discussed, such as Narayana numbers and Motzkin numbers. In this thesis, we collect four combinatorial problems whose solutions with Catalan numbers involved. Some other numbers related to Catalan numbers are also investigated.