Last Updated
：2025/11/28
Catalan number
Noun
Japanese Meaning
組み合わせ数学において、再帰的に定義されたオブジェクトに関連する様々な数え上げ問題で現れる自然数の系列。特に、第n項が (2n choose n)/(n+1) で計算される。
（ plural ）
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In combinatorial mathematics, any of a sequence of natural numbers that occur in various counting problems, often involving recursively defined objects; the nᵗʰ Catalan number is equal to (2n choose n) over (n+1).
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Catalan number
The number of ways to correctly match parentheses in an expression with n pairs is given by the Catalan number.
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The number of ways to correctly match parentheses in an expression with n pairs is given by the Catalan number.
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