Unsigned Stirling Number of the First Kind of Number with Greater

Theorem
Let $n, k \in \Z_{\ge 0}$.

Let $k > n$.

Let $\displaystyle {n \brack k}$ denote an unsigned Stirling number of the first kind.

Then:
 * $\displaystyle {n \brack k} = 0$

Also see

 * Signed Stirling Number of the First Kind of Number with Greater
 * Stirling Number of the Second Kind of Number with Greater