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Nov 2, 2016 at 21:01 comment added Noam D. Elkies Years ago P.X.Gallagher noted the even more memorable form $$ \pi^{n/2} \bigl/ \Pi(n/2) \bigr. $$ where $\Pi(x)$ is Euler's original notation for what we now call $\Gamma(x+1)$.
Nov 2, 2016 at 20:36 comment added user78249 I really like this one. I've never seen it proved this way, I've only ever seen the $e^{-x^2}$ way and some even more incredible way my linear algebra teacher did using inner product spaces.
Nov 19, 2009 at 21:07 comment added Jakob Katz That's meant to be $d(x_1,\dots,x_n)d(x_{n+1},x_{n+2})$, of course.
Nov 19, 2009 at 21:05 history answered Jakob Katz CC BY-SA 2.5