cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A275302 Iterations at which Langton's Ant living on triangular tiling passes through the origin.

This page as a plain text file.
%I A275302 #16 Nov 02 2016 05:34:25
%S A275302 0,6,24,30,72,78,96,102,108,174,180,198,212,222,252,282,292,306,324,
%T A275302 330,408,414,420,438,444,522,544,554,576,594,648,666,672,798,804,810,
%U A275302 852,858,920,926,972,978,984,1018,1024,1154,1160,1178,1184,1190,1208,1214
%N A275302 Iterations at which Langton's Ant living on triangular tiling passes through the origin.
%C A275302 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 A275302 On these iterations pattern becomes symmetric. Orientation of the ant on these iterations is always the same.
%C A275302 Empirically, a(n) ~ c*n^1.207.
%H A275302 Andrey Zabolotskiy, <a href="/A275302/b275302.txt">Table of n, a(n) for n = 1..25000</a> (calculated using _Oleg Nikulin_'s program)
%H A275302 Wikipedia, <a href="https://en.wikipedia.org/wiki/Turmite">Turmite</a>
%Y A275302 Cf. A102358, A204810, A269757, A275303, A275304, A275305.
%K A275302 nonn
%O A275302 1,2
%A A275302 _Oleg Nikulin_, Jul 22 2016