Reflection trick and a formula for Catalan numbers

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Do curso por National Research University Higher School of Economics
Introduction to Enumerative Combinatorics
51 ratings
National Research University Higher School of Economics
51 ratings
Na lição
A nonlinear recurrence: many faces of Catalan numbers
In this lecture we introduce Catalan numbers and discuss several ways to define them: via triangulations of a polygon, Dyck paths and binary trees. We also prove an explicit formula for Catalan numbers.

Conheça os instrutores

  • Evgeny Smirnov
    Evgeny Smirnov
    Associate Professor
    Faculty of Mathematics

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