A084458 An infinite juggling sequence using three balls: a(n) is the least (lowest) throw needed to ensure that none of the juggling states A084457[n..n+A006519(n)-1] occurs in A084457[0..n-1].

4, 4, 6, 0, 5, 8, 0, 0, 3, 7, 0, 7, 0, 9, 0, 0, 7, 0, 10, 0, 0, 0, 7, 12, 0, 0, 0, 0, 4, 10, 0, 0, 9, 0, 0, 11, 0, 0, 0, 9, 0, 13, 0, 0, 0, 0, 9, 0, 14, 0, 0, 0, 0, 0, 5, 12, 0, 0, 0, 11, 0, 0, 14, 0, 0, 0, 0, 11, 0, 0, 15, 0, 0, 0, 0, 0, 10, 0, 16, 0, 0, 0, 0, 0, 0, 5, 13, 0, 0, 0, 13, 0, 0, 0, 15, 0, 0, 0