A038596 Numbers n such that n is a perfect square and is a difference between 2 positive cubes in at least one way.

169, 784, 2401, 10816, 21609, 32761, 35721, 50176, 123201, 130321, 150544, 153664, 257049, 301401, 345744, 456976, 571536, 692224, 1058841, 1382976, 1750329, 1874161, 2030625, 2096704, 2286144, 2640625, 3211264, 3467044