Typically the indices for the Stirling matrices have indices starting at 0,0. That is Row 0 and Column 0 and both the first row and column are usually ignored.
For instance,
SM1 = Table[StirlingS1[i,j], {i,11},{j,11}]
Ignores the first row and column and I was wondering if there is a way to include the first row and column.
Any tips or links to documentation that you could suggest would be welcome.