login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A326693 Langton's ant with three cell colors: number of black cells after n moves of the ant. 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
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.
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
LINKS
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
Sequence in context: A330239 A235121 A270652 * A280242 A325953 A245343
KEYWORD
nonn
AUTHOR
Felix Fröhlich, Jul 19 2019
EXTENSIONS
More terms from Rémy Sigrist, Jul 19 2019
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 16:12 EDT 2024. Contains 371254 sequences. (Running on oeis4.)