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This tag is used if a reference is needed in a paper or textbook on a specific result.

9 votes

Proofs without words

Also elementary, but here is a proof that $C_n = \binom{2n}{n} - \binom{2n}{n+1} = \frac{\binom{2n}{n}}{n+1},$ where $C_n$ is the $n$th Catalan number. http://utdallas.edu/~hagge/images/Catalan.pdf (W …