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Adam Humeniuk, Department of Pure Mathematics, University of Waterloo

"Generatingfunctionology: basics and approximation"

A generating function is a device for studying a sequence by trapping it in the coefficients of a power series. I'll give a brief crash course on "generatingfunctionology", and show you how to write down the generating function of Fibonacci numbers. This gives, for instance, an exact formula for the nth Fibonacci number. We don’t usually care whether the series converges, and work in the setting of “formal” power series.