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 A217846 Numbers which are the sums of consecutive sixth powers. 2
 0, 1, 64, 65, 729, 793, 794, 4096, 4825, 4889, 4890, 15625, 19721, 20450, 20514, 20515, 46656, 62281, 66377, 67106, 67170, 67171, 117649, 164305, 179930, 184026, 184755, 184819, 184820, 262144, 379793, 426449, 442074, 446170, 446899, 446963, 446964, 531441 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS T. D. Noe, Table of n, a(n) for n = 1..1000 MATHEMATICA nMax = 10^6; t = {0}; Do[k = n; s = 0; While[s = s + k^6; s <= nMax, AppendTo[t, s]; k++], {n, nMax^(1/6)}]; t = Union[t] PROG (PARI) list(lim)=my(v=List(apply(n->n^6, [0..sqrtnint(lim\=1, 6)])), s); for(n=2, lim, s=n*(n-1)*(2*n-1)*(3*n^4-6*n^3+3*n+1)/42; if(s>lim, break); for(k=n, lim, s+=k^6-(k-n)^6; if(s>lim, break); listput(v, s))); Set(v) \\ Charles R Greathouse IV, Apr 22 2020 CROSSREFS Subsequences include A001014 and A008516. Cf. A034705, A217843-A217850. Sequence in context: A255571 A151984 A194769 * A135124 A223590 A070931 Adjacent sequences:  A217843 A217844 A217845 * A217847 A217848 A217849 KEYWORD nonn,easy AUTHOR T. D. Noe, Oct 23 2012 STATUS approved

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Last modified May 18 23:31 EDT 2022. Contains 353826 sequences. (Running on oeis4.)