用BigInteger计算第二类Stirling数的java.lang.StackOverFlowError

import java.math.BigInteger;

public class StirlingNumber {
    public static BigInteger calculateStirlingNumber(int n, int k) {
        BigInteger[][] stirling = new BigInteger[n + 1][k + 1];

        for (int i = 0; i <= n; i++) {
            for (int j = 0; j <= k && j <= i; j++) {
                if (j == 0 || j == i) {
                    stirling[i][j] = BigInteger.ONE;
                } else {
                    stirling[i][j] = stirling[i - 1][j - 1].multiply(BigInteger.valueOf(j))
                            .add(stirling[i - 1][j]);
                }
            }
        }

        return stirling[n][k];
    }

    public static void main(String[] args) {
        int n = 5;
        int k = 3;
        BigInteger result = calculateStirlingNumber(n, k);
        System.out.println("The Stirling number S(" + n + ", " + k + ") is: " + result);
    }
}