### Math ClubGenerating Functions: Power Series You Can Count OnTom Roby (UConn)

Wednesday, January 26, 2022
5:30pm – 6:30pm

Storrs Campus
https://uconnvtc.webex.com/meet/mathclub

One of the most powerful techniques for solving problems in enumeration is to use a power series, called a generating function, whose coefficients are the terms of a given sequence. A generating function is essentially a "clothesline on which we hang the terms of a sequence" (H. Wilf). Algebraic and analytic techniques can then be applied to help us understand many properties of a sequence -- often to the point of deriving an explicit formula. We will look at several examples, including famous sequences associated with Fibonacci, Euler, and Catalan.

Note: The talk starts at 5:40.

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