OFFSET
1,2
COMMENTS
Not every term is cubefree; some are sb^3 where s is in A159843 and b > 1.
LINKS
Rosalie Fay, Table of n, a(n) for n = 1..101 (corrected by Ray Chandler, Jan 19 2019)
EXAMPLE
344 = 7^3 + 1^3 and 344 is not also the sum of cubes of 2 non-coprime integers, so 344 is in the sequence.
152 = 6^3 + (-4)^3 and 6 and -4 are not coprime, so 152 is not in the sequence.
MATHEMATICA
s[n_] := CoprimeQ @@@ ({x, y} /. Solve[n == x^3 + y^3, {x, y}, Integers]);
Reap[For[k = 1, k < 2000, k++, If[Union[s[k]] == {True}, Print[k]; Sow[k]]]][[2, 1]] (* Jean-François Alcover, Feb 02 2023 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Rosalie Fay, Oct 16 2017
STATUS
approved