Numbers that are sums of consecutive fourth powers but not fourth powers.
17, 97, 98, 337, 353, 354, 881, 962, 978, 979, 1921, 2177, 2258, 2274, 2275, 3697, 4322, 4578, 4659, 4675, 4676, 6497, 7793, 8418, 8674, 8755, 8771, 8772, 10657, 13058, 14354, 14979, 15235, 15316, 15332, 15333, 16561, 20657, 23058, 24354, 24641, 24979, 25235
1
T. D. Noe, Plot of 1000 terms
T. D. Noe, Table of 1000 terms
(Mma) nMax = 20; pwr = 4; 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