A038849 Multiples of 4 that are the difference of two positive cubes.
56, 124, 152, 208, 296, 316, 448, 488, 504, 604, 728, 784, 936, 988, 992, 1016, 1216, 1304, 1352, 1468, 1512, 1664, 1720, 1736, 1744, 2044, 2072, 2168, 2196, 2232, 2368, 2528, 2648, 2680, 2716, 2736, 3032, 3088, 3096, 3176, 3348, 3484, 3584, 3752, 3880
Offset: 1