Numbers that are sums of consecutive cubes but not cubes.
9, 35, 36, 91, 99, 100, 189, 224, 225, 341, 405, 432, 440, 441, 559, 684, 748, 775, 783, 784, 855, 1071, 1196, 1241, 1260, 1287, 1295, 1296, 1584, 1729, 1800, 1925, 1989, 2016, 2024, 2025, 2241, 2331, 2584, 2800, 2925, 2989, 3016, 3024, 3025, 3059, 3060, 3572
1
T. D. Noe, Plot of 1000 terms
T. D. Noe, Table of 1000 terms
(Mma) nMax = 20; pwr = 3; t = Reap[Do[k = n; s = 0; While[s = s + k^pwr; s <= nMax^pwr, Sow[s]; k++], {n, nMax}]]; t = Union[t[[2, 1]]]; Complement[t, Range[0, nMax]^pwr]
nonn,nice
T. D. Noe, May 14 2015