Write a class, Sequence, with instance variable: private int [] seq and methods: private static int collatz(int i); // The method from problem 4 private static int [] collatz_sequence(int i); // The method from problem 5 // A constructor that initializes seq to length 20, containing the first // 20 values of A006577 (hint: call collatz_sequence()) public Sequence(); // A constructor that initializes seq to length i, containing the first // i values of A006577 (no more hints) public Sequence(int i); // Returns the ith value of A006577. If i is greater than the length of // seq, then before returning a value, allocate a new array of length (2 // * i), copy the values in seq to the new array, calculate the // remaining values to fill the array, and assign seq the reference to // the new array. To get full credit, you may not recalculate the values // previously in seq; thus you should not call collatz_sequence(). public int getAt(int i);