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