Read the whole thing about generating function. As the authors suggest, this is perhaps the most powerful method to calculate the recurrent sequenece.
It has almost magical effect on simple series. At this point, I probably don't wield well enough because it is a very technique centric skill. The good part is that it is very similar to digital signal processing. So it sounds like it is possible to manipulate them using similar method. For example does FFT works for a series?
It will be fun if this idea can work out for the recurrence I am thinking.
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