Squares equal to Sum of 2 Cubes

Sequence
The sequence of integers whose square can be expressed as the sum of $2$ coprime cubes begins:
 * $3, 228, 671, 1261, 6371, 9765, 35 \, 113, 35 \, 928, 40 \, 380, 41 \, 643, 66 \, 599, \ldots$