%N Iterations at which Langton's Ant living on triangular tiling passes through the origin.
%C Langton's Ant living on triangular tiling (or, equivalently, hexagonal grid) follows the rules similar to those of the ordinary Langton's ant. On a white cell, turn 60 degrees right, flip the color of the cell, then move forward one unit. On a black cell, turn 60 degrees left, flip the color of the cell, then move forward one unit.
%C On these iterations pattern becomes symmetric. Orientation of the ant on these iterations is always the same.
%C Empirically, a(n) ~ c*n^1.207.
%H Andrey Zabolotskiy, <a href="/A275302/b275302.txt">Table of n, a(n) for n = 1..25000</a> (calculated using _Oleg Nikulin_'s program)
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Turmite">Turmite</a>
%Y Cf. A102358, A204810, A269757, A275303, A275304, A275305.
%A _Oleg Nikulin_, Jul 22 2016