The binary integer 110101 has 2 zeroes and 4 ones. Its square 101011111001 has double that, namely 4 zeroes and 8 ones.

Similarly, the ternary integer 20211 has 1 zero, 2 ones and 2 twos. Its square 1201102221 has double that, namely 2 zeroes, 4 ones and 4 twos.

Find the first 3 decimal (base ten) integers with this property.