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ThmDex – An index of mathematical definitions, results, and conjectures.
Definitions
,
Results
,
Conjectures
Formulation F11722 on
D4197: Central binomial coefficient
F11722
Formulation 1
Let
n
∈
N
be a
D996: Natural number
.
The
central binomial coefficient
with respect to
n
is the
D996: Natural number
\begin{equation} \binom{2 n}{n} = \# \left\{ E \subseteq \{ 1, \ldots, 2 n \} : |E| = n \right\} \end{equation}