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

%I A349195 #16 Nov 14 2021 12:33:38
%S A349195 0,1,1,0,0,1,1,0,0,-1,-1,-2,-2,-1,-1,-2,-2,-3,-3,-4,-4,-3,-3,-4,-4,-3,
%T A349195 -3,-4,-4,-5,-5,-6,-6,-5,-5,-6,-6,-5,-5,-4,-4,-5,-5,-4,-4,-5,-5,-6,-6,
%U A349195 -7,-7,-8,-8,-7,-7,-8,-8,-7,-7,-6,-6,-5,-5,-6,-6,-5,-5
%N A349195 a(n) is the X-coordinate of the n-th point of the R5 dragon curve; A349196 gives Y-coordinates.
%C A349195 The R5 dragon curve can be represented using an L-system.
%H A349195 Rémy Sigrist, <a href="/A349195/b349195.txt">Table of n, a(n) for n = 0..3125</a>
%H A349195 Joerg Arndt, <a href="http://www.jjj.de/fxt/#fxtbook">Matters Computational (The Fxtbook)</a>, section 1.31.5 Dragon curves based on radix-R counting.
%H A349195 Kevin Ryde, <a href="http://user42.tuxfamily.org/r5dragon/index.html">Iterations of the R5 Dragon Curve</a>, see index "point".
%H A349195 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 A349195 Rémy Sigrist, <a href="/A349195/a349195_1.gp.txt">PARI program for A349195</a>
%H A349195 <a href="/index/Con#coordinates_2D_curves">Index entries for sequences related to coordinates of 2D curves</a>
%F A349195 a(5^k) = A006495(k) for any k >= 0.
%e A349195 The R5 dragon curve starts as follows:
%e A349195          +-----+
%e A349195        24|   25
%e A349195          |
%e A349195          |
%e A349195          +-----+     +-----+     +-----+
%e A349195        23    22|   11|   10|    7|    6|
%e A349195                |     |     |     |     |
%e A349195              21|   12|    9|    8|     |
%e A349195          +-----+-----+-----+-----+-----+
%e A349195        20|   17|   16|   13|    4|    5
%e A349195          |     |     |     |     |
%e A349195          |     |     |     |     |
%e A349195          +-----+     +-----+     +-----+
%e A349195        19    18    15    14     3     2|
%e A349195                                        |
%e A349195                                        |
%e A349195                                  +-----+
%e A349195                                 0     1
%e A349195 - so a(0) = a(3) = a(4) = a(7) = a(8) = 0,
%e A349195      a(1) = a(2) = a(5) = a(6) = 1,
%e A349195      a(9) = a(10) = a(13) = a(14) = -1.
%o A349195 (PARI) See Links section.
%Y A349195 Cf. A006495, A349008, A349009, A349010, A349196.
%K A349195 sign
%O A349195 0,12
%A A349195 _Rémy Sigrist_, Nov 10 2021