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A325954 Langton's ant on a three-dimensional grid: number of blue cells on the grid after n moves of the ant. 8

%I

%S 0,0,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,1,2,2,3,4,4,3,3,3,3,3,3,3,4,4,4,5,

%T 5,5,5,4,4,4,5,5,5,5,4,5,6,6,7,8,8,7,7,7,7,7,7,7,8,8,8,9,9,9,9,8,9,10,

%U 9,9,10,10,10,10,9,8,8,8,7,8,8

%N Langton's ant on a three-dimensional grid: number of blue cells on the grid after n moves of the ant.

%C The ant starts on a completely white grid.

%C Order of operations: turn 90 degrees, change cell color, move forward one unit.

%C The rules governing the movement of the ant and the change of cell colors are shown in the following table:

%C Cell color at | Direction of | Color the cell is

%C start of iteration | 90-degree turn | changed to

%C --------------------------------------------------------

%C white | right | black

%C black | left | blue

%C blue | up | yellow

%C yellow | down | white

%H Felix Fröhlich, <a href="/A325953/a325953_1.pdf">Illustration of iterations 0-50 of the ant</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Langton%27s_ant">Langton's ant</a>

%e See illustration in links.

%Y Cf. A255938, A325953, A325955.

%K nonn,more

%O 0,19

%A _Felix Fröhlich_, May 28 2019

%E a(51)-a(80) from _Charlie Neder_, Jun 06 2019

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Last modified July 5 04:30 EDT 2020. Contains 335459 sequences. (Running on oeis4.)