What is the recurrence relation for Stirling numbers of the first kind, $s_{n+1, k}=s_{n, k-1}+n s_{n, k}$, used to compute $s_{n+1, k}$?
a) $s_{n+1, k}=s_{n, k}+n s_{n, k-1}$
b) $s_{n+1, k}=s_{n, k}+(n+1) s_{n, k-1}$
c) $s_{n+1, k}=s_{n, k}+(n+1) s_{n, k+1}$
d) $s_{n+1, k}=s_{n, k}+n s_{n, k+1}$
