# Stirling numbers of the 2nd kind (table) Calculator

## Calculates a table of the Stirling numbers of the second kind S(n,k) with specified n.

 n n=1,2,3,... 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Stirling\ number\ of\ the\ 2nd\ kind\ S(n,k)\\[10](1)\ {\large\sum_{\small k=0}^{\small n}}S(n,k)x(x-1)(x-2)\ldots (x-k+1)=x^n\\[10](2)\ S(n,0)={\large\delta}_{n0},\hspace{20}S(n,1)=S(n,n)=1\\[10]\hspace{25} S(n,k)=S(n-1,k-1)+kS(n-1,k),\\\hspace{240}1\le k\le n\\[10](3)\ S(n,k)={\large \frac{1}{k!} \sum_{\small j=0}^{\small k}}(-1)^{j}{}_{k}C_{j}(k-j)^n\\$

Stirling numbers of the 2nd kind (table)
 [1-7] /7 Disp-Num5103050100200
[1]  2018/08/09 09:27   Male / 50 years old level / An engineer / Very /
Purpose of use
Confirming the addition of Stirling Numbers of the 2nd kind add to Bell Numbers!
[2]  2017/12/04 06:23   Male / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
Help with homework
[3]  2017/09/14 04:23   Male / 30 years old level / An engineer / Very /
Purpose of use
Software projects, determining optimum grouping strategies.
[4]  2017/08/31 07:01   Male / 40 years old level / Others / Very /
Purpose of use
Checking correctness of code I wrote for an answer on Stack Overflow.
[5]  2017/02/08 15:47   Female / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Help with homework/understanding the concept/structure of the table
[6]  2016/07/29 05:10   Male / Under 20 years old / Self-employed people / Very /
Purpose of use
to know how it work in real life and it's advantages in physic.
Comment/Request
[7]  2016/02/22 14:49   Male / 50 years old level / An engineer / Very /
Purpose of use
I'm designing a test for a PRNG.
Comment/Request
I LOVE this thing! I think products and sites like this help the country grow by increasing the ability of any curious person to do research.

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