stirling numbers and multidimensional arrays

[popgen]

I am trying to implement some code to calculate Stirling numbers. 
  The code shown below provides the correct calculation but throws 
a Segmentation fault: 11 once it is done running. I suspect there 
is something with the way I am setting up the multidimensional 
array.



import std.stdio;
import std.datetime ;
import std.conv ;
import std.file;
import std.string;
import std.regex;
import std.bigint ;
import std.range : enumerate;


int stirling1(int n, int k)
{
         auto matrix = new int[][](n+1,k+1) ;
         for(int i = 0; i <= n; i++)
         {
             matrix[i][0] = 0 ;
         }
         for(int i = 0; i <= k; i++)
         {
             matrix[0][k] = 0 ;
         }
         for(int i = 1; i <= n ; i++)
         {
             for(int q = 1; q <= i ; q++)
             {
                 if(q == 1 || i == q)
                 {
                     matrix[i][q] = 1 ;
                 }
                 else
                 {
                     matrix[i][q] = q*matrix[i-1][q] + 
matrix[i-1][q-1] ;
                 }
             }
         }
         return(matrix[n][k]) ;
}

void main()
{
     writeln("s(n,k) for s(7,2)") ;
     writeln(stirling1(7,2)) ;
}