Word Pronunciation & Dictionary

catalan number

Word Rarity Rare

Frequency: Zipf frequency 3.42 in modern English

Syllables: cata-lan num-ber
IPA

19

Scrabble Score

13

Letters

3

Syllables

10

Unique Chars

Meaning

noun

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).

Example Sentences

"AMBIGUITY LEADS TO AN EXPONENTIAL NUMBER OF TREES I saw the man with the telescope on the box in the car under the table ... n prepositional phrases ⇒ (n + 1)’th catalan number"
"Cₙ — the nᵗʰ Catalan number — could be described as the number of distinct ways in which a sequence of n + 1 numbers could be associated by means of some specified binary operator."

Etymology

Named after the Belgian mathematician Eugène Catalan (1814–1894).

Inflected Forms

Catalan numbers (plural)

Questions

What does catalan number mean?: 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).
Where does catalan number come from?: Named after the Belgian mathematician Eugène Catalan (1814–1894).

How to pronounce catalan number

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