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%I #12 Apr 27 2020 23:58:38
%S 0,0,1,1,0,0,1,2,3,3,2,1,0,0,1,1,0,0,1,2,3,3,2,2,3,4,5,5,4,4,5,6,7,7,
%T 6,5,4,4,5,5,4,3,2,2,3,3,2,1,0,0,1,1,0,0,1,2,3,3,2,1,0,0,1,1,0,0,1,2,
%U 3,3,2,2,3,4,5,5,4,4,5,6,7,7,6,6,7,7,6
%N a(n) is the Y-coordinate of the point at n steps forward from the origin along the H-order curve defined in A334232; sequence A334233 gives X-coordinates.
%H Rémy Sigrist, <a href="/A334234/b334234.txt">Table of n, a(n) for n = 0..8193</a>
%H Rémy Sigrist, <a href="/A334234/a334234.gp.txt">PARI program for A334234</a>
%H <a href="/index/Con#coordinates_2D_curves">Index entries for sequences related to coordinates of 2D curves</a>
%F A334232(a(n), A334233(n)) = n.
%e The "forward" branch of H-order curve starting from the origin is as follows:
%e 7| 32
%e | |
%e 6| 31
%e | |
%e 5| 26...27 30
%e | | | |
%e 4| 25 28...29
%e | |
%e 3| 8....9 24 21...20
%e | | | | | |
%e 2| 7 10 23...22 19
%e | | | |
%e 1| 2....3 6 11 14...15 18
%e | | | | | | | |
%e 0| 0....1 4....5 12...13 16...17
%e ---+----------------------------------------
%e y/x| 0 1 2 3 4 5 6 7
%e - hence a(25) = a(28) = a(29) = 4.
%o (PARI) See Links section.
%Y Cf. A334232, A334233.
%K nonn
%O 0,8
%A _Rémy Sigrist_, Apr 20 2020
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