A071162 Those totally balanced binary sequences which encode rooted plane trees whose Lukasiewicz words are also valid asynchronic siteswap juggling patterns.

0, 2, 10, 12, 42, 44, 52, 56, 170, 172, 180, 184, 212, 216, 232, 240, 682, 684, 692, 696, 724, 728, 744, 752, 852, 856, 872, 880, 936, 944, 976, 992, 2730, 2732, 2740, 2744, 2772, 2776, 2792, 2800, 2900, 2904, 2920, 2928, 2984, 2992, 3024, 3040, 3412, 3416