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 A131643 Cubes that are also sums of three or more consecutive positive cubes. 6
 216, 8000, 64000, 216000, 343000, 5832000, 35937000, 157464000, 1540798875, 3951805941, 22069810125, 23295638016, 58230605376, 170400029184, 4767078987000, 19814511816000, 241152896222784, 565199024832000, 731189187729000, 5399901725184000, 13389040129314816, 15517248640897024 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Note that by Fermat's theorem no cube is the sum of two positive cubes. All entries have the form A000537(j) - A000537(i-1) with 1 <= i < j, for example (j,i) = (5,3), (14,11), (22,3), (30,6), (34,15), (69,6), (109,11). - R. J. Mathar, Sep 14 2007 [Presumably this comment refers just to the terms shown, and not to every term in the sequence. - N. J. A. Sloane, Dec 19 2015] Subsequence of A265845 (numbers that are sums of consecutive positive cubes in more than one way) which is sparse: among the first 1000 terms of A265845, only 17 are cubes. - Jonathan Sondow, Jan 10 2016 LINKS Donovan Johnson, Table of n, a(n) for n = 1..55 (terms < 2*10^23) EXAMPLE 216 = 27 + 64 + 125. Note that "positive" is needed in the definition, otherwise the sequence would contain 8 = (-1)^3 + 0^3 + 1^3 + 2^3. - N. J. A. Sloane, Dec 19 2015 MATHEMATICA Select[Union[ Flatten[Table[ Plus @@ Table[i^3, {i, k, j}], {k, 1000}, {j, k + 1, 1000}]]], # <= 1000^3 && IntegerQ[ #^(1/3)] &] CROSSREFS a(n) = A097811(n)^3. - Donovan Johnson, Nov 09 2012 Cf. A000537, A265845. Sequence in context: A232835 A223272 A265845 * A269139 A231319 A269197 Adjacent sequences:  A131640 A131641 A131642 * A131644 A131645 A131646 KEYWORD nonn AUTHOR Tanya Khovanova, Sep 08 2007 EXTENSIONS More terms from R. J. Mathar, Sep 14 2007 More terms from Donovan Johnson, Mar 09 2008 Name edited by Jon E. Schoenfield, Dec 07 2015 STATUS approved

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Last modified November 17 22:28 EST 2018. Contains 317279 sequences. (Running on oeis4.)