A349041 a(n) is the Y-coordinate of the n-th point of the terdragon curve; sequence A349040 gives X-coordinates.
0, 0, 1, 1, 2, 1, 2, 2, 3, 3, 4, 3, 4, 3, 3, 2, 3, 2, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 7, 6, 7, 6, 6, 5, 6, 5, 6, 5, 5, 4, 4, 5, 5, 4, 4, 3, 4, 3, 4, 3, 3, 2, 3, 2, 3, 3, 4, 4, 5, 4, 5, 5, 6, 6, 7, 6, 7, 6, 6, 5, 6, 5, 6, 6, 7, 7, 8, 7, 8, 8, 9, 9, 10, 9, 10, 9
Offset: 0
Keywords
Examples
The terdragon curve starts (on a hexagonal lattice) as follows:
+-----+
8\ 9
\
+-----+7
6\ /4\
\5/ \
+-----+
2\ 3
\
+-----+
0 1
- so a(0) = a(1) = 0,
a(2) = a(3) = a(5) = 1,
a(4) = a(6) = a(7) = 2,
a(8) = a(9) = 3.
Links
- Rémy Sigrist, Table of n, a(n) for n = 0..6561
- Rémy Sigrist, Colored representation of the first 1 + 3^11 points of the terdragon curve (where the hue is function of the number of steps from the origin)
- Rémy Sigrist, PARI program for A349041
- Wikipedia, Terdragon
- Index entries for sequences related to coordinates of 2D curves
Programs
-
PARI
See Links section.
Comments