A326695 -id:A326695 - cp's OEIS frontend

A326693 Langton's ant with three cell colors: number of black cells after n moves of the ant.

0, 1, 2, 3, 4, 3, 4, 5, 6, 6, 5, 4, 3, 4, 3, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 3, 4, 3, 4, 5, 6, 6, 5, 4, 3, 4, 3, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0

Offset: 0

Felix Fröhlich, Jul 19 2019

nonn

On a white square, turn 90 degrees right, change the color to black, then move forward one unit.
On a black square, turn 90 degrees left, change the color to gray, then move forward one unit.
On a gray square, turn 180 degrees, change the color to white, then move forward one unit.
The complete configuration, including the position and direction of the ant and the color of all cells, has period 276. - Rémy Sigrist, Jul 19 2019

			See illustrations in Fröhlich, 2019.

Felix Fröhlich, Illustration of iterations 0-50, 2019.

Cf. A325953, A325954, A325955, A326694, A326695.

a(n+276) = a(n). - Rémy Sigrist, Jul 19 2019

More terms from Rémy Sigrist, Jul 19 2019

A326694 Langton's ant with three cell colors: number of gray cells after n moves of the ant.

Original entry on oeis.org

0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 3, 3, 4, 5, 6, 7, 6, 5, 5, 5, 4, 5, 6, 6, 5, 6, 5, 4, 4, 3, 4, 4, 4, 3, 4, 5, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 5, 6, 6, 7, 8, 9, 10, 9, 8, 8, 7, 8, 8, 7, 8, 7, 6, 6, 6, 5, 6, 7, 7, 7, 6, 7, 8, 7, 6, 6, 5, 6, 6, 5, 6, 5, 4

Offset: 0

Felix Fröhlich, Jul 19 2019

nonn

On a white square, turn 90 degrees right, change the color to black, then move forward one unit.
On a black square, turn 90 degrees left, change the color to gray, then move forward one unit.
On a gray square, turn 180 degrees, change the color to white, then move forward one unit.

			See illustrations in Fröhlich, 2019.

Felix Fröhlich, Illustration of iterations 0-50, 2019.

Cf. A325953, A325954, A325955, A326693, A326695.

a(n+276) = a(n). - Rémy Sigrist, Jul 19 2019

More terms from Rémy Sigrist, Jul 19 2019

cp's OEIS Frontend

A326693 Langton's ant with three cell colors: number of black cells after n moves of the ant.

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