A274370 Let the starting square of Langton's ant have coordinates (0, 0), with the ant looking in negative x-direction. a(n) is the y-coordinate of the ant after n moves.

0, 1, 1, 0, 0, -1, -1, 0, 0, -1, -1, -2, -2, -1, -1, 0, 0, -1, -1, -2, -2, -3, -3, -2, -2, -1, -1, -2, -2, -1, -1, -2, -2, -1, -1, 0, 0, -1, -1, 0, 0, 1, 1, 0, 0, -1, -1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2, 2, 1, 1, 2, 2, 1, 1, 2

Offset

0,12

Links

Rémy Sigrist, Table of n, a(n) for n = 0..15000

Felix Fröhlich, Coordinates of Langton's ant.

Wikipedia, Langton's ant.

Formula

a(n+104) = a(n) - 2 for n > 9975. - Andrey Zabolotskiy, Jul 05 2016

Crossrefs

Cf. A274369 (x-coordinate).

Cf. A102358, A102369, A204810, A255938, A261990, A269757.

Sequence in context: A089617 A359217 A359216 * A128521 A090477 A349802

Adjacent sequences: A274367 A274368 A274369 * A274371 A274372 A274373

Keyword

sign,look

Author

Felix Fröhlich, Jun 19 2016

Status

approved