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 A361234 #7 Mar 07 2023 07:41:45
%S A361234 -1,2,3,-3,4,-4,5,-5,6,-6,7,-7,8,-8,9,10,-10,11,-11,12,-12,13,-13,14,
%T A361234 -14,15,-15,16,17,-17,-18,19,-19,20,-20,21,-21,22,-22,23,-23,24,-24,
%U A361234 25,26,-26,27,-27,28,-28,29,-29,30,-30,31,-31,32,-32,33,-33,34
%N A361234 Infinite sequence of nonzero integers build the greedy way such that the products Product_{i = k*2^e..(k+1)*2^e} a(i) with k, e >= 0 are all distinct; each term is minimal in absolute value and in case of a tie, preference is given to the positive value.
%C A361234 This sequence is a variant of A360305 where we allow negative values.
%C A361234 In order for the sequence to be infinite, the value 1 is forbidden.
%C A361234 We can arrange the terms of the sequence as the leaves of a perfect infinite binary tree, the products with e > 0 corresponding to parent nodes; each node will contain a different value and all values except 0 and 1 will appear in the tree.
%H A361234 Rémy Sigrist, <a href="/A361234/a361234.gp.txt">PARI program</a>
%e A361234 The first terms (at the bottom of the tree) alongside the corresponding products are:
%e A361234 -73156608000
%e A361234 ---------------------------------
%e A361234 7200 -10160640
%e A361234 ----------------- -----------------
%e A361234 18 400 1764 -5760
%e A361234 --------- --------- --------- ---------
%e A361234 -2 -9 -16 -25 -36 -49 -64 90
%e A361234 ----- ----- ----- ----- ----- ----- ----- -----
%e A361234 -1 2 3 -3 4 -4 5 -5 6 -6 7 -7 8 -8 9 10
%o A361234 (PARI) See Links section.
%Y A361234 Cf. A360305, A361144.
%K A361234 sign
%O A361234 1,2
%A A361234 _Rémy Sigrist_, Mar 05 2023