I agree. Can you open an issue for this in our issue tracker
(http://code.google.com/p/sympy/issues/list)?
We can do hypergeometric series, which is why the summation() function
is so powerful in the git master, but I think it's not recognizing
this one as such because it's a finite sum (Tom, please correct me if
I'm wrong). If you use the fact that binomial(n, k) == 0 for k> n,
and replace n with oo in the summation limits, you get:
I was about to say precisely that.
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