Mathlean · Online math workspace

Stirling number calculator

Count partitions of n labeled elements into k nonempty unlabeled blocks.

How to use this calculator

Edit StirlingS2(n,k). Five elements split into two nonempty blocks in 15 ways.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

StirlingS2⁡(5,2)\operatorname{StirlingS2}\left(5,2\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

These are second-kind Stirling numbers. StirlingS1 gives signed first-kind numbers instead.

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