# Stirling number of the 1st kind Calculator

## Calculates the Stirling number of the first kind s(n,k).

n
 n=1,2,3,...
k
 1≦k≦n

s(n,k)

 $\normal Stirling\ number\ of\ the\ 1st\ kind\ s(n,k)\\[10](1)\ x(x-1)(x-2)\ldots (x-n+1)={\large\sum_{\small k=0}^{\small n}}s(n,k)x^k\\(2)\ s(n,0)={\large\delta}_{n0},\hspace{20}s(n,n)=1\\[10]\hspace{25} s(n,k)=s(n-1,k-1)-(n-1)s(n-1,k),\hspace{240}1\le k\le n\\[10]$

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