A047718 Numbers that are the sum of 7 but no fewer nonzero fourth powers.

7, 22, 37, 52, 67, 87, 102, 112, 117, 132, 147, 167, 177, 182, 197, 212, 227, 242, 247, 262, 277, 292, 307, 322, 327, 342, 352, 357, 372, 387, 402, 407, 417, 422, 437, 452, 467, 482, 487, 502, 517, 532, 547, 562, 567, 577, 582, 592, 597, 612, 631, 646, 662