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
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