I was just wondering how I would evaluate something like:
(1/2 choose 1)
(1/2 choose 2)
I've never seen fractions in binomial coefficients.
Binomial coefficient - Wikipedia, the free encyclopedia
talks about that way down the page at "Binomial Coefficient with n= 1/2".
Essentially, you write as with the difference that since n is not an integer, you never end at "1" or "n- m+1". Instead, you get an infinite product which must be shown to have a finite value.
Wikipedia gives, explicitely,