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A334236 a(n) is the Y-coordinate of the point at n steps backward from the origin along the H-order curve defined in A334232; sequence A334235 gives X-coordinates.

%I A334236 #11 May 06 2025 11:21:32
%S A334236 0,1,2,3,3,2,2,3,4,5,5,4,4,5,6,7,7,6,6,7,7,6,5,4,4,5,6,7,7,6,6,7,8,9,
%T A334236 9,8,8,9,10,11,11,10,9,8,8,9,9,8,8,9,10,11,11,10,10,11,12,13,13,12,12,
%U A334236 13,14,15,15,14,14,15,15,14,13,12,12,13,14,15,15
%N A334236 a(n) is the Y-coordinate of the point at n steps backward from the origin along the H-order curve defined in A334232; sequence A334235 gives X-coordinates.
%H A334236 Rémy Sigrist, <a href="/A334236/b334236.txt">Table of n, a(n) for n = 0..8192</a>
%H A334236 Rémy Sigrist, <a href="/A334236/a334236.gp.txt">PARI program for A334236</a>
%H A334236 <a href="/index/Con#coordinates_2D_curves">Index entries for sequences related to coordinates of 2D curves</a>
%F A334236 A334232(a(n), A334235(n)) = -n.
%e A334236 The "backward" branch of H-order curve starting from the origin is as follows:
%e A334236     7|  -15..-16  -19..-20  -27..-28  -31
%e A334236      |    |    |    |    |    |    |    |
%e A334236     6|  -14  -17..-18  -21  -26  -29..-30
%e A334236      |    |              |    |
%e A334236     5|  -13  -10...-9  -22  -25
%e A334236      |    |    |    |    |    |
%e A334236     4|  -12..-11   -8  -23..-24
%e A334236      |              |
%e A334236     3|   -3...-4   -7
%e A334236      |    |    |    |
%e A334236     2|   -2   -5...-6
%e A334236      |    |
%e A334236     1|   -1
%e A334236      |    |
%e A334236     0|    0
%e A334236   ---+----------------------------------------
%e A334236   y/x|    0    1    2    3    4    5    6    7
%e A334236 - hence a(28) = a(29) = 5.
%o A334236 (PARI) See Links section.
%Y A334236 Cf. A334232, A334235.
%K A334236 nonn
%O A334236 0,3
%A A334236 _Rémy Sigrist_, Apr 20 2020