%N a(n) = least positive k such that Mordell's equation y^2 = x^3 - k has exactly n integral solutions.
%C The status of further terms is:
%C 15 integral solution: unknown
%C 16 integral solution: 503
%C 17 integral solution: unknown
%C 18 integral solution: 431
%C 19 integral solution: unknown
%C 20 integral solution: 2351
%C 21 integral solution: unknown
%C 22 integral solution: 3807
%C For least positive k such that equation y^2 = x^3 + k has exactly n integral solutions, see A179162.
%C If n is odd, then a(n) is perfect cube. [Ray Chandler]
%H J. Gebel, <a href="/A001014/a001014.txt">Integer points on Mordell curves</a> [Cached copy, after the original web site tnt.math.se.tmu.ac.jp was shut down in 2017]
%Y Cf. A081120, A081121, A179163-A179175.
%A _Artur Jasinski_, Jun 30 2010
%E Edited and a(7), a(11), a(13) added by _Ray Chandler_, Jul 11 2010