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 A228948 Numbers n such that n^3 + k^2 = m^3 for some k>0, m>0. 5
 6, 7, 11, 23, 24, 26, 28, 31, 38, 42, 44, 47, 54, 55, 61, 63, 84, 91, 92, 95, 96, 99, 104, 110, 111, 112, 118, 119, 124, 138 (list; graph; refs; listen; history; text; internal format)
 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 LINKS 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 Cf. A229618, A087285, A087286, A088017, A081121, A081120, A077116, A065733. Cube root of A179419. Cf. A356709, A356720. Complement of A356713. Sequence in context: A297254 A347512 A296695 * A297128 A035110 A011990 Adjacent sequences: A228945 A228946 A228947 * A228949 A228950 A228951 KEYWORD nonn AUTHOR M. F. Hasler, Oct 05 2013 EXTENSIONS More terms added by Jianing Song, Sep 24 2022 based on A179419. STATUS approved

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Last modified March 31 07:39 EDT 2023. Contains 361645 sequences. (Running on oeis4.)