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I cannot for the life of me remember where I learned to do this nor can I remember why this works, but I know a method for finding the simplest polynomial for a series. I had something half typed up and then I found this site: http://www.johansens.us/sane/technotes/formula.htm which explains a method more thoroughly. While this is not identical to the way I do it, it is certainly similar enough.
So why does this work?
So why does this work?