Word.ws English Dictionary

Catalan numbers

Catalan numbers is the plural of Catalan number.

Meaning of Catalan number

Noun

Catalan number (plural Catalan numbers)

  1. 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).
    • 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 number1998 July 29, Michael Collins, “A CONTEXT-FREE GRAMMAR FOR ENGLISH”, in http://old-site.clsp.jhu.edu/ws98/projects/nlp/, retrieved 19 Apr 2013

Questions about Catalan numbers

What is Catalan numbers the plural of?
Catalan numbers is the plural of Catalan number.

Words near Catalan numbers in the dictionary

  1. Catalan forge
  2. Catalan forges
  3. Catalan furnace
  4. Catalan Giants
  5. Catalan number
  6. Catalan numbers
  7. Catalan process
  8. Catalan Republic
  9. Catalan Sheepdog
  10. Catalan Sheepdogs
  11. Catalan Shepherd

Source and license

Adapted from Wiktionary: Catalan numbers (page history and authors); Catalan number (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

Cite this entry: “Catalan numbers.” Word.ws, https://word.ws/catalan_numbers. Based on Wiktionary, CC BY-SA 4.0.