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3 | # Function bellNumbers
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4 |
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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.
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6 | bellNumbers only takes integer arguments.
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7 | The following condition must be enforced: n >= 0
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8 |
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9 |
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10 | ## Syntax
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11 |
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12 | ```js
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13 | math.bellNumbers(n)
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14 | ```
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15 |
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16 | ### Parameters
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17 |
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18 | Parameter | Type | Description
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19 | --------- | ---- | -----------
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20 | `n` | Number | BigNumber | Total number of objects in the set
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21 |
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22 | ### Returns
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23 |
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24 | Type | Description
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25 | ---- | -----------
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26 | Number | BigNumber | B(n)
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27 |
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28 |
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29 | ## Examples
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30 |
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31 | ```js
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32 | math.bellNumbers(3) // returns 5
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33 | math.bellNumbers(8) // returns 4140
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34 | ```
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35 |
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36 |
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37 | ## See also
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38 |
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39 | [stirlingS2](stirlingS2.md)
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