A274370 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

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.