Derive Euler's formula for the Catalan numbers, $$ C_n = \frac{2\times 6\times 10\times \cdots \times (4n - 2)}{(n + 1)!} $$
and note that (n+1)Cn = (4n - 2)Cn-1
I'm not sure at all where to go with this problem, any help is appreciated.
2026-03-28 15:20:01.1774711201
Derive Euler's formula for the Catalan numbers
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http://www.math.miami.edu/~armstrong/Talks/Story_of_Catalan.pdf
In Page 11 of this document there are simple yet complete derivation.