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You may also enjoy [Concrete Mathematics](https://www.goodreads.com/book/show/112243.Concrete_Mathemat...) by Graham, Knuth, Patashnik.



Concrete mathematics is significantly more advanced though, if I'm not mistaken it even introduces the basics of analytic combinatorics with OGFs. Something at the same level would be the basic competitive math curriculum in combinatorics and number theory.


Aren't generating functions a standard part of a first course in combinatorics? They were when I took introduction to combinatorics in university.




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