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A309166
Langton's ant on a truncated hexagonal tiling: number of black cells after n moves of the ant when starting on a dodecagon and looking towards an edge where the dodecagon meets a triangle.
5
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 8, 9, 10, 11, 12, 13, 12, 11, 12, 13, 14, 15, 16, 15, 14, 15, 16, 17, 18, 19, 20, 19, 18, 17, 16, 17, 18, 19, 20, 21, 22, 23, 22, 23, 24, 25, 26, 27, 26, 27, 28, 29, 30, 31, 30, 29, 30, 31, 32, 33, 34, 33, 32, 33, 32
OFFSET
0,3
COMMENTS
On a white dodecagon, turn 30 degrees right, flip the color of the tile, then move forward one unit.
On a black dodecagon, turn 30 degrees left, flip the color of the tile, then move forward one unit.
On a white triangle, turn 60 degrees right, flip the color of the tile, then move forward one unit.
On a black triangle, turn 60 degrees left, flip the color of the tile, then move forward one unit.
FORMULA
a(n+15) = a(n) + 9 for n > 2034. - Lars Blomberg, Aug 13 2019
EXAMPLE
See illustrations in Fröhlich, 2019.
KEYWORD
nonn
AUTHOR
Felix Fröhlich, Jul 15 2019
EXTENSIONS
More terms from Sean A. Irvine, Jul 22 2019
STATUS
approved