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mathjs/docs/reference/functions/bellNumbers.md

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1<!-- Note: This file is automatically generated from source code comments. Changes made in this file will be overridden. -->
2
3# Function bellNumbers
4
5The Bell Numbers count the number of partitions of a set. A partition is a pairwise disjoint subset of S whose union is S.
6bellNumbers only takes integer arguments.
7The following condition must be enforced: n >= 0
8
9
10## Syntax
11
12```js
13math.bellNumbers(n)
14```
15
16### Parameters
17
18Parameter | Type | Description
19--------- | ---- | -----------
20`n` | Number &#124; BigNumber | Total number of objects in the set
21
22### Returns
23
24Type | Description
25---- | -----------
26Number &#124; BigNumber | B(n)
27
28
29## Examples
30
31```js
32math.bellNumbers(3) // returns 5
33math.bellNumbers(8) // returns 4140
34```
35
36
37## See also
38
39[stirlingS2](stirlingS2.md)

1	`<!-- Note: This file is automatically generated from source code comments. Changes made in this file will be overridden. -->`
2
3	`# Function bellNumbers`
4
5	`The Bell Numbers count the number of partitions of a set. A partition is a pairwise disjoint subset of S whose union is S.`
6	`bellNumbers only takes integer arguments.`
7	`The following condition must be enforced: n >= 0`
8
9
10	`## Syntax`
11
12	```js
13	`math.bellNumbers(n)`
14	```
15
16	`### Parameters`
17
18	`Parameter \| Type \| Description`
19	`--------- \| ---- \| -----------`
20	`n` \| Number \| BigNumber \| Total number of objects in the set
21
22	`### Returns`
23
24	`Type \| Description`
25	`---- \| -----------`
26	`Number \| BigNumber \| B(n)`
27
28
29	`## Examples`
30
31	```js
32	`math.bellNumbers(3) // returns 5`
33	`math.bellNumbers(8) // returns 4140`
34	```
35
36
37	`## See also`
38
39	`[stirlingS2](stirlingS2.md)`