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for those who'd like to learn more about generating functions, one of the best books on such, generatingfunctionology by wilf, is available as a free pdf online at www.math.upenn.edu/~wilf/DownldGF.html

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I would love to get a hold of that book, but it seems to be unavailable from your link. I cannot find it anywhere else, would you happen to have another link? If you have it yourself, could you please upload it?

This appears to be the book, on Scribd: http://www.scribd.com/doc/7846856/Generatingfunctionology-H-...

Here is the direct link to the PDF version of the second edition published in 1994 (third one published in 2006 is in print though):

http://www.math.upenn.edu/~wilf/gfology2.pdf

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