Comment #5 on issue 3657 by mrock...@gmail.com: Summation over non-integers
http://code.google.com/p/sympy/issues/detail?id=3657

In an ideal case it would be able to handle any discrete set, not just affine transforms of the naturals. For example it would be nice to be able to sum over the set {1/n for n in Naturals}

Syntax for this could be supported with TransformationSets, which might contain a Lambda and S.Naturals

It would also be nice to able to input a (symbol, set) pair rather than a (symbol, start, stop, step) tuple. These aren't essential, I'm just throwing out ideas for what I think might be a good interface.

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