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About LinkBacksI was just wondering how I would evaluate something like:
(1/2 choose 1)
or
(1/2 choose 2)
I've never seen fractions in binomial coefficients.
Wikipedia
Binomial coefficient - Wikipedia, the free encyclopedia
talks about that way down the page at "Binomial Coefficient with n= 1/2".
Essentially, you writeas
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,
^{k+1}(k+1)}{2^{2n}(2k-1)(2k+1)})
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