A349218 a(n) is the X-coordinate of the n-th point of the 7-dragon curve; sequence A349219 gives Y-coordinates.
0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, -1, 0, -1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 3, 2, 3, 3, 4, 3, 4, 3, 3, 2, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, -1, 0, -1, -1, -2, -1, -2, -1, -1, 0, -1, 0, -1, -1, -2, -1
Offset: 0
Keywords
Examples
The 7-dragon curve starts as follows:
14 12
\ / \
\ / \
10,13--8,11
\ / \
\ / \
2---3,6,9---7
\ / \
\ / \
0----1,4----5
- so a(0) = a(2) = a(10) = a(12) = a(13) = 0,
a(1) = a(3) = a(4) = a(6) = a(8) = a(9) = a(11) = 1,
a(5) = a(7) = 2,
a(14) = -1.
Links
- Rémy Sigrist, Table of n, a(n) for n = 0..16807
- Rémy Sigrist, Colored representation of the first 1 + 7^7 points of the 7-dragon curve (where the hue is function of the number of steps from the origin)
- Rémy Sigrist, PARI program for A349218
- Jeffrey Ventrella, Brainfilling Curves: The Root 7 Family
- Index entries for sequences related to coordinates of 2D curves
Programs
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PARI
See Links section.
Comments