I think the best way to store the generating function is as wikipedia 
describes it: 
http://en.wikipedia.org/wiki/Formal_power_series#Power_series_in_several_variables
Similar to lpoly1 PR by pernici it will have a structure. 
It will be of the form c*X**a where X**a is a monomial in serveral 
variables and c defined on an arbitrary ring.

I also realize that many complicated operations on FPS like composition, 
convolution won't result in simplified summation representation because of 
weaker summation algorithms. That's a part of my project but I think 
implementing them nonetheless should be a good idea.

Also I added more examples and explanations in unclear areas.
Thank you for your comments

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