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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
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, 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, 9, 9, 10, 10, 10, 10, 9, 8, 8, 8, 7, 8, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,19

COMMENTS

The ant starts on a completely white grid.

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

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

Cell color at      | Direction of   | Color the cell is

start of iteration | 90-degree turn | changed to

--------------------------------------------------------

white              | right          | black

black              | left           | blue

blue               | up             | yellow

yellow             | down           | white

LINKS

Table of n, a(n) for n=0..80.

Felix Fröhlich, Illustration of iterations 0-50 of the ant

Wikipedia, Langton's ant

EXAMPLE

See illustration in links.

CROSSREFS

Cf. A255938, A325953, A325955.

Sequence in context: A185068 A078664 A328388 * A243503 A069581 A274061

Adjacent sequences:  A325951 A325952 A325953 * A325955 A325956 A325957

KEYWORD

nonn,more

AUTHOR

Felix Fröhlich, May 28 2019

EXTENSIONS

a(51)-a(80) from Charlie Neder, Jun 06 2019

STATUS

approved

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Last modified May 29 20:42 EDT 2020. Contains 334710 sequences. (Running on oeis4.)