mathjs/docs/reference/functions/catalan.md

Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser with support for symbolic computation, comes with a large set of built-in functions and constants, and offers an integrated solution to work with dif

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# Function catalan

The Catalan Numbers enumerate combinatorial structures of many different types.
catalan only takes integer arguments.
The following condition must be enforced: n >= 0


## Syntax

```js
math.catalan(n)
```

### Parameters

Parameter | Type | Description
--------- | ---- | -----------
`n` | Number &#124; BigNumber | nth Catalan number

### Returns

Type | Description
---- | -----------
Number &#124; BigNumber | Cn(n)


## Examples

```js
math.catalan(3) // returns 5
math.catalan(8) // returns 1430
```


## See also

[bellNumbers](bellNumbers.md)