# Catalan numbers

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Catalan numbers](https://ocme.evemisslab.com/en/atlas/atlas-catalan-numbers/)

With C_0=1, the convolution recurrence and two exact closed forms define the same zero-based Catalan sequence.

atlas-catalan-numbers · canonical_mko

[Catalan numbers](https://ocme.evemisslab.com/en/mko/mko-catalan-numbers/)

## Prerequisite nodes


- [Recurrence relation](https://ocme.evemisslab.com/en/atlas/atlas-recurrence-relation/)
- [Binomial theorem](https://ocme.evemisslab.com/en/atlas/atlas-binomial-theorem/)
- [Basic counting principles](https://ocme.evemisslab.com/en/atlas/atlas-counting-principle/)
- [Natural-number divisibility](https://ocme.evemisslab.com/en/atlas/atlas-natural-divisibility/)