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

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

0,12

Comments

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.

Links

Table of n, a(n) for n=0..86.

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

Formula

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

Example

See illustrations in Fröhlich, 2019.

Crossrefs

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

Sequence in context: A333251 A369236 A334869 * A053207 A334714 A138467

Adjacent sequences: A326691 A326692 A326693 * A326695 A326696 A326697

Keyword

nonn

Author

Felix Fröhlich, Jul 19 2019

Extensions

More terms from Rémy Sigrist, Jul 19 2019

Status

approved