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Sep 12, 2017 at 17:39 comment added Aditya Guha Roy Note : $L_n$ is the ratio of the product of the first $n$ odd numbers to the product of the first $n$ even numbers. Possibly, that helps.
Dec 14, 2016 at 16:18 history closed Dirk
Lucia
Michael Albanese
Jan-Christoph Schlage-Puchta
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Dec 14, 2016 at 16:11 answer added Péter Komjáth timeline score: 2
Dec 14, 2016 at 15:59 review Close votes
Dec 14, 2016 at 16:20
Dec 14, 2016 at 15:46 answer added T. Amdeberhan timeline score: 1
Dec 14, 2016 at 15:42 comment added Ilya Bogdanov If $k\approx N$, then $C_{2N}^k\approx C_{2N}^N$.
Dec 14, 2016 at 15:42 comment added Dirk Use the aymptotic of the Catalan numbers to get that the fraction behaves like $(N+1)/N^{3/2}$.
Dec 14, 2016 at 15:24 history asked Galor CC BY-SA 3.0