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 A179149 #19 Jun 02 2023 01:56:53 %S A179149 1,64,729,1000,2744,4096,15625,21952,35937,46656,50653,64000,117649, %T A179149 262144,343000,531441,592704,681472,729000,753571,1000000,1124864, %U A179149 1771561,2000376,2197000,2299968,2744000,2985984,3652264,4096000,4826809,5451776,6229504,7189057,7529536 %N A179149 Numbers k such that Mordell's equation y^2 = x^3 + k has exactly 5 integral solutions. %C A179149 Contains all sixth powers: suppose that y^2 = x^3 + t^6, then (y/t^3)^2 = (x/t^2)^3 + 1. The elliptic curve Y^2 = X^3 + 1 has rank 0 and the only rational points on it are (-1,0), (0,+-1), and (2,+-3), so y^2 = x^3 + t^6 has 5 solutions (-t^2,0), (0,+-t^3), and (2*t^2,+-3*t^3). - _Jianing Song_, Aug 24 2022 %H A179149 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] %F A179149 a(n) = A356711(n)^3. %Y A179149 Cf. A054504, A081119, A179145-A179162, A356711. %K A179149 nonn %O A179149 1,2 %A A179149 _Artur Jasinski_, Jun 30 2010 %E A179149 Edited and extended by _Ray Chandler_, Jul 11 2010 %E A179149 a(31)-a(35) from _Max Alekseyev_, Jun 01 2023