Definition:Central Binomial Coefficient
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Definition
Let $n \in \N$ be a natural number.
The binomial coefficient:
- $\dbinom {2 n} n$
is known as a central binomial coefficient.
Sequence
The sequence of central binomial coefficients begins:
- $2, 6, 20, 70, 252, 924, 3432, 12 \, 870, 48 \, 620, 184 \, 756, \ldots$
Also see
- Results about central binomial coefficients can be found here.
Sources
- Weisstein, Eric W. "Central Binomial Coefficient." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CentralBinomialCoefficient.html