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 A336226 #16 Aug 08 2020 01:33:20
%S A336226 1,-3,4,9,-10,-12,16,21,25,37,-47,-48,49,64,-75,-87,88,100,105,121,
%T A336226 134,-147,169,172,-192,196,-241,-243,256,289,-300,361,-363,400,443,
%U A336226 484,-507,529,541,-588,625,676,-699,732,-759,-768,777,784,841,-867,897,961
%N A336226 Values z of primitive solutions (x, y, z) to the Diophantine equation x^3 + y^3 + 2*z^3 = 1458.
%C A336226 Terms are arranged in order of increasing absolute value (if equal, the negative number comes first).
%C A336226 (11 + 3*n - 9*n^2)^3 + (11 + 3*(n + 1) - 9*(n + 1)^2)^3 + 2*(3*n + 1)^6 = 1458, the numbers of the form (3*n + 1)^2 are terms of the sequence.
%C A336226 (11 - 3*n - 9*n^2)^3 + (11 - 3*(n + 1) - 9*(n + 1)^2)^3 + 2*(3*n + 2)^6 = 1458, the numbers of the form (3*n + 2)^2 are also terms of the sequence.
%C A336226 Thus, A001651(n)^2 are terms of the sequence. There is an infinity of nontrivial solutions to the equation.
%D A336226 R. K. Guy, Unsolved Problems in Number Theory, D5.
%e A336226 5^3 + 11^3 + 2 * 1^3 = 1458, 1 is a term.
%e A336226 (-1)^3 + (11)^3 + 2 * (4)^3 = 1458, 4 is a term.
%t A336226 Clear[t]
%t A336226 t = {};
%t A336226 Do[y = (1458 - x^3 - 2 z^3)^(1/3) /. (-1)^(1/3) -> -1; If[IntegerQ[y] && GCD[x, y, z] == 1, AppendTo[t, z]], {z, -980, 980}, {x, -25319, 25319}]
%t A336226 u = Union@t;
%t A336226 v = Table[(-1)^n*Floor[(n + 1)/2], {n, 0, 2000}];
%t A336226 Select[v, MemberQ[u, #] &]
%Y A336226 Cf. A000290, A000578, A001651, A003215, A004825, A004826, A050791, A130472, A195006.
%K A336226 sign
%O A336226 1,2
%A A336226 _XU Pingya_, Jul 17 2020