Binomial Coefficients

[Ehump20]

int dynamicBinomial(int N, int k)
 {
 	vector< vector<int> >table(N,vector<int>(k));
	
	for (int j = 0; j < N; j++) 
		table[j][0] = 1;
 	
 	for (int i = 0; i < N; i++)
 	   {
		for (int j = 0; j < k; j++)
		 {
			table[i][j] = table[i-1][j-1] + table[i-1][j];
		 }
 	   }
 	 return table[N-1][k-1];
 }

This function is supposed to return the binomial coefficients for N and k using dynamic programming, but it does not return the correct result. Does anybody know what is wrong with the code?