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 A134043 #6 Sep 08 2022 08:45:32 %S A134043 7,11,25,38,133,8669 %N A134043 Complete list of solutions to y^2 = x^3 + 113; sequence gives y values. %C A134043 For corresponding x values see A134043. %e A134043 a(1)^2 = 7^2 = 49 = A134042(1)^3 + 113 = -64 + 113. %e A134043 a(2)^2 = 11^2 = 121 = A134042(2)^3 + 113 = 8 + 113. %e A134043 a(3)^2 = 25^2 = 625 = A134042(3)^3 + 113 = 512 + 113. %e A134043 a(4)^2 = 38^2 = 1444 = A134042(4)^3 + 113 = 1331+ 113. %e A134043 a(5)^2 = 133^2 = 17689 = A134042(5)^3 + 113 = 17576 + 113. %e A134043 a(6)^2 = 8669^2 = 75151561 = A134042(6)^3 + 113 = 75151448 + 113. %t A134043 (Program does not produce first two terms) a = {}; Do[k = n^2 - (Floor[n^(2/3)])^3; If[(k > 112) && (k < 113), AppendTo[a, n]], {n, 1, 100000}]; a %o A134043 (Magma) Sort([ Abs(p[2]) : p in IntegralPoints(EllipticCurve([0, 113])) ]); /* adapted from A029727 */ %Y A134043 Cf. A134042, A029727, A080761. %K A134043 nonn,fini,full %O A134043 1,1 %A A134043 _Artur Jasinski_, Oct 03 2007 %E A134043 Edited and corrected by _Klaus Brockhaus_, Oct 04 2007