The Living Thing / Notebooks :

Generating functions

Fancy counting

I don’t have much to say here apart from a couple of links and references I need from time to time.

But nor should I; simply download Herbert Wilf’s pellucid free textbook for all the possible introduction you could need.

Rolf Bardeli walks through some beautiful generating function application.

Later I would like to include notes on graph theory and neat count RV tricks based on generating functions. You an rapidly get into weird complex analysis when you consider asymptotics of these guys and get to find out why Cauchy’s integral formula and Lagrange’s Inversion Theorem were in your textbook.