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 A217843 Numbers which are the sums of consecutive nonnegative cubes. 19
 0, 1, 8, 9, 27, 35, 36, 64, 91, 99, 100, 125, 189, 216, 224, 225, 341, 343, 405, 432, 440, 441, 512, 559, 684, 729, 748, 775, 783, 784, 855, 1000, 1071, 1196, 1241, 1260, 1287, 1295, 1296, 1331, 1584, 1728, 1729, 1800, 1925, 1989, 2016, 2024, 2025, 2197 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Contains A000578 (cubes), A005898 (two consecutive cubes), A027602 (three consecutive cubes), A027603 (four consecutive cubes) etc. - R. J. Mathar, Nov 04 2012 See A265845 for sums of consecutive positive cubes in more than one way. - Reinhard Zumkeller, Dec 17 2015 LINKS T. D. Noe, Table of n, a(n) for n = 1..1000 FORMULA a(n) >> n^2. Probably a(n) ~ kn^2 for some k but I cannot prove this. - Charles R Greathouse IV, Aug 07 2013 MATHEMATICA nMax = 3000; t = {0}; Do[k = n; s = 0; While[s = s + k^3; s <= nMax, AppendTo[t, s]; k++], {n, nMax^(1/3)}]; t = Union[t] PROG (Haskell) import Data.Set (singleton, deleteFindMin, insert, Set) a217843 n = a217843_list !! (n-1) a217843_list = f (singleton (0, (0, 0))) (-1) where    f s z = if y /= z then y : f s'' y else f s'' y               where s'' = (insert (y', (i, j')) \$                            insert (y' - i ^ 3 , (i + 1, j')) s')                     y' = y + j' ^ 3; j' = j + 1                     ((y, (i, j)), s') = deleteFindMin s -- Reinhard Zumkeller, Dec 17 2015, May 12 2015 CROSSREFS Cf. A034705, A217844-A217850, A062682, A131643, A240137. Cf. A000578, A005898, A027602, A027603. Cf. A265845 (subsequence). Sequence in context: A042311 A003997 A114090 * A139753 A046874 A316416 Adjacent sequences:  A217840 A217841 A217842 * A217844 A217845 A217846 KEYWORD nonn AUTHOR T. D. Noe, Oct 23 2012 STATUS approved

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Last modified October 16 06:34 EDT 2019. Contains 328051 sequences. (Running on oeis4.)