Both Maple and Mathematica give wrong answers to the following sum,

Sum[Binomial[n, k]/Binomial[2 n, k]/k! (2 x)^k, {k, 0, n}]

I tried to find a way to calculate it in SAGE, but couldn't find symbolic 
sums in the documentation. Is Maxima supposed to be used directly?

Alec 


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