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As an aside, a lovely (freely available) book on using generating functions to calculate closed form solutions to such problems by the late Herbert Wilf: https:
by phonebucket 7y ago
As an aside, a lovely (freely available) book on using generating functions to calculate closed form solutions to such problems by the late Herbert Wilf: https://www.math.upenn.edu/~wilf/DownldGF.html https://www.math.upenn.edu/~wilf/DownldGF.html
One of the more enjoyable maths texts I've read.
- JadeNB 7y agoNothing to add to this except to say that Generatingfunctionology is an awesome book. Although I haven't read it, another in the same space is A=B, also co-authored by Wilf (https://www.math.upenn.edu/~wilf/AeqB.html https://www.math.upenn.edu/~wilf/AeqB.html) (another co-author is Zeilberger, whose name anyone interested in computational discrete math will recognise).
- phonebucket 7y agoI've spent some time on A = B as well. Very pleased to find someone else interested in these things on here!