Catalan Numbers Everywhere
January 17, 2011
Bailey Hall 207
Refreshments will be served in Bailey Hall 204 at 4:45
The Catalan numbers, a famous sequence beginning with 1, 2, 5, 14, 42, ... (can you guess the pattern?), appear as the solution to a wide array of counting problems. This talk is a tour through some of the many different interpretations and uses of the Catalan numbers, including their connections to lattice paths, ballot counts, and the drunkard's walk. One goal of the talk is to introduce the idea of bijection (one-to-one and onto function) as a method of counting.
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