OFFSET
1,1
COMMENTS
Cube root of perfect cubes in A087285 or in A229618 are in the present sequence, but this does not yield all terms, because these sequences require k^2 to be the largest square < m^3.
Numbers k such that Mordell's equation y^2 = x^3 - k^3 has more than 1 integral solution. (Note that it is necessary that x is positive.) In other words, numbers k such that Mordell's equation y^2 = x^3 - k^3 has solutions other than the trivial solution (k,0). - Jianing Song, Sep 24 2022
EXAMPLE
6 is a term since the equation y^2 = x^3 - 6^3 has 5 solutions (6,0), (10,+-28), and (33,+-189). - Jianing Song, Sep 24 2022
CROSSREFS
KEYWORD
nonn
AUTHOR
M. F. Hasler, Oct 05 2013
EXTENSIONS
More terms added by Jianing Song, Sep 24 2022 based on A179419.
STATUS
approved