A088035 Cubes k such that k-1 is divisible by a cube.

729, 1000, 4913, 5832, 6859, 15625, 21952, 35937, 50653, 68921, 97336, 117649, 166375, 185193, 262144, 274625, 389017, 531441, 551368, 704969, 753571, 912673, 1000000, 1157625, 1295029, 1442897, 1643032, 1771561, 2000376, 2048383