A360170 a(n) is the X-coordinate after n steps of an infinite knight's tour through all lattice points; see A360171 for the Y-coordinates.
0, 1, -1, -2, 0, 2, 1, -1, -2, -1, 1, 2, 0, -2, -1, 1, 2, 0, -2, -1, -2, 0, 2, 1, 2, 3, 1, -1, -3, -4, -3, -4, -2, 0, 2, 4, 3, 4, 3, 1, -1, -3, -4, -3, -4, -3, -1, 1, 3, 4, 3, 4, 2, 0, -2, -4, -3, -4, -3, -1, 1, 3, 4, 3, 4, 2, 0, -2, -4, -3, -4, -3, -4, -2, 0
Offset: 0
Keywords
Examples
See illustration of the first steps in Links section.
Links
- Robert Bosch and Zejian Huang, Structured Knight’s Tours
- Mathematics StackExchange, Infinite Knight's Tour
- Rémy Sigrist, Illustration of the first steps (where colors denote the direction to the next position)
- Rémy Sigrist, PARI program
- Dan Thomasson, Knight's Tour Art
- Wikipedia, Knight's tour
- Wolfram Demonstrations Project, An Infinite Knight's Tour
- Index entries for sequences related to coordinates of 2D curves
Programs
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PARI
See Links section.
Comments