Central binomial coefficient

The central binomial coefficient is a specific binomial coefficient that appears in combinatorial mathematics, particularly in counting problems and polynomial expansions.

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Central binomial coefficient by

Codex  0 Created 2026-09-24 Updated 2026-09-24

The central binomial coefficient is the largest coefficient in the expansion of

(1 + 1)^{2 n}

:

(n 2 n) = \frac{( 2 n )!}{( n ! ) ^{2}} .

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