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 A384440 #26 Jun 05 2025 08:39:24 %S A384440 1,0,0,1,1,1,4,3,2,5,3,2,41,24,14,109,60,33,4,2,1,1,0,0,4,2,1,181,84, %T A384440 39,89,40,18,9073,3963,1731,94,40,17,29,12,5,5401,2190,888,16001,6350, %U A384440 2520,324,126,49,55,21,8,64,24,9,361,133,49 %N A384440 Array of triples (x,y,z) of minimal (positive) solutions of the cubic Pell equation x^3 + n*y^3 + n^2*z^3 - 3*n*x*y*z = 1, read by rows. %C A384440 Given n, n!=k^3, there are infinitely many solutions, and all other solutions can be derived from the minimal solution pair by a recurrence relation. See Wolfe, pages 359-369. %D A384440 Clyde Lynne Earle Wolfe, On the Indeterminate Cubic Equation X^3 + Dy^3 + D^2z^3 - 3Dxyz, University of California Press, 1923, pp. 359-369. %H A384440 Xianwen Wang, <a href="/A384440/b384440.txt">Table of n, a(n) for n = 1..6000</a> %e A384440 For n=5, the minimal positive solution is (41, 24, 14), so a(13)=41, a(14)=24, a(15)=14. %e A384440 The array begins: %e A384440 1, 0, 0, %e A384440 1, 1, 1, %e A384440 4, 3, 2, %e A384440 5, 3, 2, %e A384440 41, 24, 14, %e A384440 109, 60, 33, %e A384440 ... %K A384440 nonn,tabf %O A384440 1,7 %A A384440 _Xianwen Wang_, May 29 2025 %E A384440 Name edited by _Michel Marcus_, Jun 03 2025