A025412 Numbers that are the sum of 4 distinct positive cubes in 2 or more ways.

1036, 1134, 1352, 1367, 1430, 1465, 1484, 1521, 1547, 1582, 1638, 1709, 1736, 1764, 1800, 1801, 1820, 1862, 1863, 1881, 1918, 1953, 1972, 2009, 2070, 2080, 2099, 2136, 2197, 2249, 2268, 2288, 2305, 2331, 2340, 2366, 2422, 2457, 2464, 2483, 2485, 2520