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 A179419 #7 Sep 24 2022 12:33:31
%S A179419 216,343,1331,12167,13824,17576,21952,29791,54872,74088,85184,103823,
%T A179419 157464,166375,226981,250047,592704,753571,778688,857375,884736,
%U A179419 970299,1124864,1331000,1367631,1404928,1643032,1685159,1906624,2628072
%N A179419 Numbers n such that Mordell elliptic curve y^2=x^3-n has a number of integral points that is both odd and > 1.
%C A179419 Also positive cubes not in A179163.
%C A179419 A000578 = Union({0}, A179163, A179419).
%C A179419 Mordell curve y^2=x^3-n always has at least one integral solution if n is a cube, say n=k^3, (x,y)=(k,0). If there are additional solutions, they will exist in pairs - (x,y) and (x,-y). Thus the number of solutions can be odd iff n is a cube.
%Y A179419 Cf. A000578, A179163. Cube of A228948.
%K A179419 nonn
%O A179419 1,1
%A A179419 _Artur Jasinski_, Jul 13 2010
%E A179419 Edited and extended by _Ray Chandler_, Jul 14 2010