整列の目的で、「aaa」などの値を持つ行と列を持つマトリックスを作成しようとしています。しかし、実行するとエラーが発生します。以下は私のコードです
public class compute_matrix {
  static String seq1="aaa";
  static String seq2="aaa";
  static int[][] matrix;
  static int max_row;
  static int max_col;
  private static int match_reward=1;
  private static int mismatch_penalty= -1;
  private static int gap_cost= -1;
  private static boolean case_sensitive;
  private static boolean isCaseSensitive() {
    return case_sensitive;
  }
  private static int max(int ins, int sub, int del, int i) {
    if (ins > sub) {
        if (ins > del) {
            return ins > i? ins : i;
        } else {
            return del > i ?del : i;
        }
    } else if (sub > del) {
        return sub> i ? sub : i;
    } else {
        return del > i ? del : i;
    }
}
 protected char sequence[];
   public static void main(String args[]){
    int r, c, rows, cols, ins, sub, del, max_score;
    rows = seq1.length()+1;
    cols = seq2.length()+1;
    matrix = new int [rows][cols];
    // initiate first row
    for (c = 0; c < cols; c++)
        matrix[0][c] = 0;
    // keep track of the maximum score
    max_row = max_col = max_score = 0;
    // calculates the similarity matrix (row-wise)
    for (r = 1; r < rows; r++)
    {
        // initiate first column
        matrix[r][0] = 0;
        for (c = 1; c < cols; c++)
        {
                        sub = matrix[r-1][c-1] + scoreSubstitution(seq1.charAt(r),seq2.charAt(c));
            ins = matrix[r][c-1] + scoreInsertion(seq2.charAt(c));
            del = matrix[r-1][c] + scoreDeletion(seq1.charAt(r));
            // choose the greatest
            matrix[r][c] = max (ins, sub, del, 0);
            if (matrix[r][c] > max_score)
            {
                // keep track of the maximum score
                max_score = matrix[r][c];
                max_row = r; max_col = c;
            }
        }
    }
     }
private static int scoreSubstitution(char a, char b) {
   if (isCaseSensitive())
        if (a == b)
            return match_reward;
        else
            return mismatch_penalty;
    else
        if (Character.toLowerCase(a) == Character.toLowerCase(b))
            return match_reward;
        else
            return mismatch_penalty;
}
private static int scoreInsertion(char a) {
 return gap_cost;
}
private static int scoreDeletion(char a) {
    return gap_cost;
}
public char charAt (int pos)
{
    // convert from one-based to zero-based index
    return sequence[pos-1];
}
  }
私のエラーはこれを表示しています
              Exception in thread "main" java.lang.StringIndexOutOfBoundsException: String index out of range: 3
    at java.lang.String.charAt(String.java:695)
    at compute_matrix.main(compute_matrix.java:67)
Javaの結果:1