This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A228948 #24 Sep 24 2022 12:29:00 %S A228948 6,7,11,23,24,26,28,31,38,42,44,47,54,55,61,63,84,91,92,95,96,99,104, %T A228948 110,111,112,118,119,124,138 %N A228948 Numbers n such that n^3 + k^2 = m^3 for some k>0, m>0. %C A228948 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. %C A228948 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 %e A228948 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 %Y A228948 Cf. A229618, A087285, A087286, A088017, A081121, A081120, A077116, A065733. %Y A228948 Cube root of A179419. %Y A228948 Cf. A356709, A356720. Complement of A356713. %K A228948 nonn %O A228948 1,1 %A A228948 _M. F. Hasler_, Oct 05 2013 %E A228948 More terms added by _Jianing Song_, Sep 24 2022 based on A179419.