ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F9696 on D4139: Catalan sequence
F9696
Formulation 1
Let $\mathbb{N}$ be the D225: Set of natural numbers.
The Catalan sequence is the D997: Natural number sequence \begin{equation} \binom{0}{0}, \quad \frac{1}{2} \binom{2}{1}, \quad \frac{1}{3} \binom{4}{2}, \quad \frac{1}{4} \binom{6}{3}, \quad \ldots \end{equation}