OFFSET
0,5
COMMENTS
The R5 dragon curve can be represented using an L-system.
LINKS
Rémy Sigrist, Table of n, a(n) for n = 0..3125
Kevin Ryde, Iterations of the R5 Dragon Curve
Rémy Sigrist, Colored representation of the first 1 + 5^9 points of the R5 dragon curve (where the hue is function of the number of steps from the origin)
Rémy Sigrist, PARI program for A349196
FORMULA
a(5^k) = A006496(k) for any k >= 0.
EXAMPLE
The R5 dragon curve starts as follows:
+-----+
24| 25
|
|
+-----+ +-----+ +-----+
23 22| 11| 10| 7| 6|
| | | | |
21| 12| 9| 8| |
+-----+-----+-----+-----+-----+
20| 17| 16| 13| 4| 5
| | | | |
| | | | |
+-----+ +-----+ +-----+
19 18 15 14 3 2|
|
|
+-----+
0 1
- so a(0) = a(1) = 0,
a(2) = a(3) = a(14) = a(15) = a(18) = a(19) = 1.
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
sign
AUTHOR
Rémy Sigrist, Nov 10 2021
STATUS
approved