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A349196 a(n) is the Y-coordinate of the n-th point of the R5 dragon curve; A349195 gives X-coordinates.

%I A349196 #13 Dec 16 2021 18:05:32
%S A349196 0,0,1,1,2,2,3,3,2,2,3,3,2,2,1,1,2,2,1,1,2,2,3,3,4,4,5,5,4,4,5,5,4,4,
%T A349196 3,3,2,2,3,3,2,2,1,1,0,0,1,1,0,0,1,1,0,0,-1,-1,-2,-2,-1,-1,-2,-2,-1,
%U A349196 -1,0,0,-1,-1,0,0,-1,-1,-2,-2,-3,-3,-2,-2,-3,-3
%N A349196 a(n) is the Y-coordinate of the n-th point of the R5 dragon curve; A349195 gives X-coordinates.
%C A349196 The R5 dragon curve can be represented using an L-system.
%H A349196 Rémy Sigrist, <a href="/A349196/b349196.txt">Table of n, a(n) for n = 0..3125</a>
%H A349196 Kevin Ryde, <a href="http://user42.tuxfamily.org/r5dragon/index.html">Iterations of the R5 Dragon Curve</a>
%H A349196 Rémy Sigrist, <a href="/A349195/a349195.png">Colored representation of the first 1 + 5^9 points of the R5 dragon curve</a> (where the hue is function of the number of steps from the origin)
%H A349196 Rémy Sigrist, <a href="/A349196/a349196_1.gp.txt">PARI program for A349196</a>
%H A349196 <a href="/index/Con#coordinates_2D_curves">Index entries for sequences related to coordinates of 2D curves</a>
%F A349196 a(5^k) = A006496(k) for any k >= 0.
%e A349196 The R5 dragon curve starts as follows:
%e A349196          +-----+
%e A349196        24|   25
%e A349196          |
%e A349196          |
%e A349196          +-----+     +-----+     +-----+
%e A349196        23    22|   11|   10|    7|    6|
%e A349196                |     |     |     |     |
%e A349196              21|   12|    9|    8|     |
%e A349196          +-----+-----+-----+-----+-----+
%e A349196        20|   17|   16|   13|    4|    5
%e A349196          |     |     |     |     |
%e A349196          |     |     |     |     |
%e A349196          +-----+     +-----+     +-----+
%e A349196        19    18    15    14     3     2|
%e A349196                                        |
%e A349196                                        |
%e A349196                                  +-----+
%e A349196                                 0     1
%e A349196 - so a(0) = a(1) = 0,
%e A349196      a(2) = a(3) = a(14) = a(15) = a(18) = a(19) = 1.
%o A349196 (PARI) See Links section.
%Y A349196 Cf. A006496, A349008, A349009, A349010, A349195.
%K A349196 sign
%O A349196 0,5
%A A349196 _Rémy Sigrist_, Nov 10 2021