A326353 Manhattan distance of one of the two ants in A326352 to the other ant at iteration n.

2, 2, 2, 2, 2, 2, 4, 4, 2, 4, 6, 8, 6, 4, 6, 4, 4, 6, 6, 6, 6, 8, 8, 6, 8, 6, 8, 10, 8, 6, 4, 4, 4, 2, 4, 6, 8, 6, 4, 6, 4, 4, 6, 6, 6, 6, 8, 8, 6, 8, 6, 8, 10, 8, 6, 4, 4, 4, 2, 4, 4, 4, 6, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 6, 4, 6, 8, 10, 8, 8, 8, 6

Offset

0,1

Links

Jinyuan Wang, Table of n, a(n) for n = 0..20000

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

Wikipedia, Langton's ant

Wikipedia, Taxicab geometry

Formula

a(n) = a(n-104) + 4 for n >= 14476. - Jinyuan Wang, Jul 15 2025

Example

See illustrations in Fröhlich, 2019.

Crossrefs

Cf. A326352.

Sequence in context: A396486 A279401 A168514 * A060447 A268045 A118177

Adjacent sequences: A326350 A326351 A326352 * A326354 A326355 A326356

Keyword

nonn

Author

Felix Fröhlich, Jun 30 2019

Extensions

More terms from Jinyuan Wang, Jul 15 2025

Status

approved