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.
%I A266179 #29 Feb 16 2025 08:33:28
%S A266179 1,110,10000,1100000,100000000,11000000000,1000000000000,
%T A266179 110000000000000,10000000000000000,1100000000000000000,
%U A266179 100000000000000000000,11000000000000000000000,1000000000000000000000000,110000000000000000000000000,10000000000000000000000000000
%N A266179 Binary representation of the n-th iteration of the "Rule 6" elementary cellular automaton starting with a single ON (black) cell.
%C A266179 Rules 38,134 and 166 also generate this sequence.
%D A266179 S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.
%H A266179 Robert Price, <a href="/A266179/b266179.txt">Table of n, a(n) for n = 0..999</a>
%H A266179 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ElementaryCellularAutomaton.html">Elementary Cellular Automaton</a>
%H A266179 S. Wolfram, <a href="http://wolframscience.com/">A New Kind of Science</a>
%H A266179 <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
%H A266179 <a href="https://oeis.org/wiki/Index_to_Elementary_Cellular_Automata">Index to Elementary Cellular Automata</a>
%H A266179 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0, 10000).
%F A266179 From _Colin Barker_, Dec 23 2015 and Apr 13 2019: (Start)
%F A266179 a(n) = 4^(n-1)*5^(2*n-1)*(21-(-1)^n).
%F A266179 a(n) = 10000*a(n-2) for n>1.
%F A266179 G.f.: (1+110*x) / ((1-100*x)*(1+100*x)). (End)
%F A266179 a(n) = 110*100^(n-1) for odd n; a(n) = 100^n for even n. - _Karl V. Keller, Jr._, Aug 11 2021
%t A266179 rule=6; rows=20; ca=CellularAutomaton[rule,{{1},0},rows-1,{All,All}]; (* Start with single black cell *) catri=Table[Take[ca[[k]],{rows-k+1,rows+k-1}],{k,1,rows}]; (* Truncated list of each row *) Table[FromDigits[catri[[k]]],{k,1,rows}] (* Binary Representation of Rows *)
%o A266179 (Python) print([110*100**(n-1) if n%2 else 100**n for n in range(30)]) # _Karl V. Keller, Jr._, Aug 11 2021
%Y A266179 Cf. A266178, A266180.
%K A266179 nonn,easy
%O A266179 0,2
%A A266179 _Robert Price_, Dec 22 2015