def q(n): if n < 1 or type(n) != int: raise ValueError("n must be an int >= 1") try: return q.seq[n] except IndexError: ans = q(n - q(n - 1)) + q(n - q(n - 2)) q.seq.append(ans) return ans q.seq = [None, 1, 1] if __name__ == '__main__': first10 = [q(i) for i in range(1,11)] assert first10 == [1, 1, 2, 3, 3, 4, 5, 5, 6, 6], "Q() value error(s)" print("Q(n) for n = [1..10] is:", ', '.join(str(i) for i in first10)) assert q(1000) == 502, "Q(1000) value error" print("Q(1000) =", q(1000))