Binomial Coefficients $ {\frac{-1}{2} \choose n}$

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i am trying to solve Exercises from Martin Aigner A Copurse in Enummarations, i am having problems with this one:

I got the first part(well you open the factorials by definition and put the 2's in the right positions, then close), but I am clueless where to start on the second one.

edited Dec 22 '18 at 3:05

Shaun

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asked Apr 17 '18 at 11:36

thetha

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$\begingroup$ See math.stackexchange.com/questions/1102075/… $\endgroup$ – Robert Z Apr 17 '18 at 11:39
$\begingroup$ awesome! :) this helps $\endgroup$ – thetha Apr 17 '18 at 11:39
$\begingroup$ Hint: Try letting $r = -1/2$. $\endgroup$ – awkward Apr 17 '18 at 14:58

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