Stirling Number
Calculate Stirling Number instantly with the exact formula and a worked example.
Stirling Number
n (elements)
k (non-empty blocks)
Stirling number of the 2nd kind S(n,k)
9,330
S(n,k)
9330
Stirling of the 1st kind |s(n,k)|
1.1727e+6
Bell number B(n)
115975
More about: Stirling Number
What it calculates
The “Stirling Number” calculator computes Stirling number of the 2nd kind S(n,k) from 2 parameters: n (elements), k (non-empty blocks).
A core calculation for studying, engineering tasks, and checking solutions.
Example calculation
With parameters n (elements) = 10, k (non-empty blocks) = 3 the result is 9,330.
How to use
- Enter n (elements) and k (non-empty blocks) — each field above is adjustable with a slider.
- Stirling number of the 2nd kind S(n,k) is calculated automatically as you type.
- Check the worked example below to see the formula applied to real numbers.
- Copy the result or bookmark this calculator.
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FAQ
How is Stirling Number calculated?
The Stirling Number calculator computes Stirling number of the 2nd kind S(n,k) from n (elements), k (non-empty blocks). Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Stirling Number calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.
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