KnowraCatalan numberLinked fromLinked fromThe 12 pages that link to Catalan number, each with the reason it gives.All 12Broader topic 3Related 7Compared with 2Generating functionRelated: A quadratic equation for its generating function yields the Catalan numbers and their formula.Pascal's triangleRelated: They can be calculated from central binomial coefficients in the triangle.Binary treeRelated: Catalan numbers count distinct ordered binary-tree shapes with a fixed number of nodes.Integer sequenceRelated: The Catalan numbers exemplify sequences defined by combinatorial counting.Pascal's ruleRelated: Catalan recurrences combine binomial-coefficient identities related to Pascal's rule.Bertrand's ballot theoremRelated: Equal-vote ballot counts are governed by Catalan paths, a boundary case of ballot enumeration.Algebraic combinatoricsRelated: Its diverse interpretations invite algebraic generating functions and bijective explanations.