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

Author

Felix Fröhlich, Jun 30 2019

Keywords

• nonn

Examples

			See illustrations in Fröhlich, 2019.
		

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

Crossrefs

Cf. A326352.

Formula

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

Extensions

More terms from Jinyuan Wang, Jul 15 2025