cp's OEIS Frontend

A309166 Langton's ant on a truncated hexagonal tiling: number of black cells after n moves of the ant when starting on a dodecagon and looking towards an edge where the dodecagon meets a triangle.

%I A309166 #28 Nov 27 2020 13:23:15
%S A309166 0,1,2,3,4,5,6,7,8,9,8,9,10,11,12,13,12,11,12,13,14,15,16,15,14,15,16,
%T A309166 17,18,19,20,19,18,17,16,17,18,19,20,21,22,23,22,23,24,25,26,27,26,27,
%U A309166 28,29,30,31,30,29,30,31,32,33,34,33,32,33,32
%N A309166 Langton's ant on a truncated hexagonal tiling: number of black cells after n moves of the ant when starting on a dodecagon and looking towards an edge where the dodecagon meets a triangle.
%C A309166 On a white dodecagon, turn 30 degrees right, flip the color of the tile, then move forward one unit.
%C A309166 On a black dodecagon, turn 30 degrees left, flip the color of the tile, then move forward one unit.
%C A309166 On a white triangle, turn 60 degrees right, flip the color of the tile, then move forward one unit.
%C A309166 On a black triangle, turn 60 degrees left, flip the color of the tile, then move forward one unit.
%H A309166 Sean A. Irvine, <a href="/A309166/b309166.txt">Table of n, a(n) for n = 0..10000</a>
%H A309166 Lars Blomberg, <a href="/A309166/a309166.png">The state for n=2200, when 342 cells are set</a>
%H A309166 Lars Blomberg, <a href="/A309166/a309166.mp4">Animation illustrating n=1-2200</a>
%H A309166 Felix Fröhlich, <a href="/A309166/a309166.pdf">Illustration of iterations 0-50 of the ant</a>, 2019.
%H A309166 Sean A. Irvine, <a href="https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a309/A309166.java">Java program</a> (github)
%H A309166 Wikipedia, <a href="https://en.wikipedia.org/wiki/Langton%27s_ant">Langton's ant</a>
%H A309166 Wikipedia, <a href="https://en.wikipedia.org/wiki/Truncated_hexagonal_tiling">Truncated hexagonal tiling</a>
%F A309166 a(n+15) = a(n) + 9 for n > 2034. - _Lars Blomberg_, Aug 13 2019
%e A309166 See illustrations in Fröhlich, 2019.
%Y A309166 Cf. A255938, A269757, A308590, A308937, A308973, A326167, A326352, A309064.
%K A309166 nonn
%O A309166 0,3
%A A309166 _Felix Fröhlich_, Jul 15 2019
%E A309166 More terms from _Sean A. Irvine_, Jul 22 2019