A068585 Numbers k such that the denominator of (Sum_{j=1..k} 1/j)^3 equals the denominator of Sum_{j=1..k} 1/j^3.
1, 2, 3, 4, 5, 9, 10, 11, 12, 13, 14, 15, 16, 17, 27, 28, 29, 30, 31, 32, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 289, 290, 291, 292, 293, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013
Offset: 1