A060814 Numbers whose cubes contain more than half the same digit and do not end in 0.

1, 2, 7, 36, 106, 164, 173, 612, 671, 707, 763, 764, 942, 999, 1001, 1041, 2232, 2402, 2824, 2953, 3543, 4055, 8121, 9999, 10001, 10002, 10003, 10058, 10601, 11551, 12599, 13464, 13701, 13832, 15477, 16942, 17066, 18821, 19202, 19753, 20001