

A326352


Total number of black cells after n iterations of Langton's ant with two ants on the grid placed sidebyside with one empty square between them and initially looking in the same direction.


11



0, 2, 4, 6, 8, 6, 6, 6, 6, 8, 6, 8, 10, 12, 14, 12, 12, 12, 12, 14, 12, 12, 12, 12, 14, 12, 14, 16, 18, 20, 18, 18, 16, 16, 18, 16, 18, 20, 22, 24, 22, 22, 22, 22, 24, 22, 22, 22, 22, 24, 22, 24, 26, 28, 30, 28, 28, 26, 26, 28, 28, 30, 30, 32, 34, 34, 36, 34
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OFFSET

0,2


COMMENTS

From Rémy Sigrist, Jul 28 2019: (Begin)
The two ants meet seven times; in that case, the color of the current square is flipped only once. Eventually, both ants build a recurrent highway pattern.
(End)


LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..20000
Felix Fröhlich, Illustration of iterations 050, 2019.
Wikipedia, Langton's ant
Rémy Sigrist, Representation of the grid after 20000 iterations
Rémy Sigrist, PARI program for A326352


FORMULA

a(n + 104) = a(n) + 24 for any n >= 14373.  Rémy Sigrist, Jul 28 2019


EXAMPLE

See illustrations in Fröhlich, 2019.


PROG

(PARI) See Links section.


CROSSREFS

Cf. A255938, A269757, A308590, A325953, A325954, A325955, A326167, A326353.
Sequence in context: A115425 A116418 A122640 * A299479 A185361 A245186
Adjacent sequences: A326349 A326350 A326351 * A326353 A326354 A326355


KEYWORD

nonn,more


AUTHOR

Felix Fröhlich, Jun 30 2019


EXTENSIONS

More terms from Rémy Sigrist, Jul 28 2019


STATUS

approved



