cp's OEIS Frontend

A351285 Irregular triangle read by rows in which row n gives the y-values of the solutions of the equation 2*(x - 1)*y - (x - 3)*x = 2*n for 0 < x <= y.

%I A351285 #9 Feb 12 2022 08:30:12
%S A351285 2,3,4,5,3,6,7,4,8,9,5,4,10,11,6,12,5,13,7,14,5,15,8,6,16,17,9,18,7,6,
%T A351285 19,10,20,6,21,11,8,22,7,23,12,24,9,25,13,7,26,8,27,14,10,7,28,29,15,
%U A351285 30,11,9,8,31,16,32,33,17,12,8,34,10,35,18,9,8,36,13
%N A351285 Irregular triangle read by rows in which row n gives the y-values of the solutions of the equation 2*(x - 1)*y - (x - 3)*x = 2*n for 0 < x <= y.
%C A351285 Equivalently, the n-th row gives the row indices corresponding to n in the triangle A351153.
%e A351285 Triangle begins:
%e A351285   2;
%e A351285   3;
%e A351285   4;
%e A351285   5, 3;
%e A351285   6;
%e A351285   7, 4;
%e A351285   8;
%e A351285   9, 5, 4;
%e A351285   ...
%t A351285 Table[r={};For[d=1,d<Floor[(Sqrt[1+8n]-1)/2],d++,If[Divisible[2n+(d-2)(d+1),2d],AppendTo[r,(2n+(d-2)(d+1))/(2d)]]];r,{n,3,37}]//Flatten
%Y A351285 Cf. A341830, A351153, A136107(row length or solutions number), A351284 (x-values).
%K A351285 nonn,tabf
%O A351285 3,1
%A A351285 _Stefano Spezia_, Feb 06 2022