A046044 Sum of 13 but no fewer nonzero fourth powers.

13, 28, 43, 58, 73, 93, 108, 123, 138, 153, 173, 188, 203, 208, 218, 233, 253, 268, 283, 298, 313, 333, 348, 363, 378, 393, 413, 428, 443, 448, 458, 473, 493, 508, 523, 538, 553, 573, 588, 603, 618, 637, 653, 668, 683, 688, 698, 717, 733, 748, 763, 778, 797