A061657 In base 3 n and n^2 contain the same digits in the same proportion.

184, 196, 464, 500, 544, 550, 552, 584, 588, 622, 626, 670, 706, 1392, 1436, 1472, 1500, 1552, 1632, 1650, 1654, 1656, 1744, 1752, 1764, 1866, 1868, 1878, 1978, 2010, 2030, 2116, 2118, 3922, 4136, 4176, 4308, 4388, 4416, 4500, 4656, 4732, 4756, 4896