A029782 Cubes such that digits of cube root of n appear in both n^(2/3) and n.

0, 1, 125, 216, 1000, 1331, 15625, 125000, 166375, 216000, 262144, 287496, 438976, 970299, 1000000, 1030301, 1331000, 1367631, 1404928, 1520875, 1560896, 1953125, 11390625, 15625000, 20796875, 23887872, 33698267