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 A351284 #9 Feb 12 2022 08:30:44 %S A351284 2,2,2,2,3,2,2,3,2,2,3,4,2,2,3,2,4,2,3,2,5,2,3,4,2,2,3,2,4,5,2,3,2,6, %T A351284 2,3,4,2,5,2,3,2,4,2,3,6,2,5,2,3,4,7,2,2,3,2,4,5,6,2,3,2,2,3,4,7,2,5, %U A351284 2,3,6,8,2,4,2,3,2,5,2,3,4,7,2,6,2,3,2,4,5,8 %N A351284 Irregular triangle read by rows: the n-th row gives the x-values of the solutions of the equation 2*(x - 1)*y - (x - 3)*x = 2*n for 0 < x <= y. %C A351284 Equivalently, the n-th row gives the column indices corresponding to n in the triangle A351153. %e A351284 Triangle begins: %e A351284 2; %e A351284 2; %e A351284 2; %e A351284 2, 3; %e A351284 2; %e A351284 2, 3; %e A351284 2; %e A351284 2, 3, 4; %e A351284 ... %t A351284 Table[r={};For[d=1,d<Floor[(Sqrt[1+8n]-1)/2],d++,If[Divisible[2n+(d-2)(d+1),2d],AppendTo[r,d+1]]];r,{n,3,43}]//Flatten %Y A351284 Cf. A341829, A351153, A136107 (row length or solutions number), A351285 (y-values). %K A351284 nonn,tabf %O A351284 3,1 %A A351284 _Stefano Spezia_, Feb 06 2022