\(\text{s}\)¶
You can use the \(\text{s}\) function to calculate Sterling numbers of the first kind.
You can use the \sterling1fn
backslash command to insert this function.
The following variants of this function are available:
\(\text{real } \text{s} \left ( \text{<n>}, \text{<k>} \right )\)
Where \(\text{<n>}\) and \(\text{<k>}\) represents the number of elements and number of disjoint cycles respectively.
The function returns the number of permutations calculated by the recurrence relation:
\[\text{s} \left ( n, k \right ) =
\left ( n - 1 \right ) \text{s} \left ( n - 1 , k \right )
+ \text{s} \left ( n - 1 , k - 1 \right )\]
Figure 199 shows the basic use of the \(\text{s}\) function.