# Definition(s)
> [!NOTE] Definition 1 \[MA241\]
> The $n$th Catalan number $C_{n}$ is the number of triangulations of the regular $(n+2)$-gon.
> [!Example] Example
> Contents
# Properties(s)
Equivalent characterisations:
- [[Catalan Numbers Count Polygon Triangulations]]
- [[Catalan Numbers Count Monotonic Lattice Paths]].
# Application(s)
**More examples**:
# Reference(s)