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 A266752 #40 Feb 16 2025 08:33:28
%S A266752 1,100,10010,1001010,100101010,10010101010,1001010101010,
%T A266752 100101010101010,10010101010101010,1001010101010101010,
%U A266752 100101010101010101010,10010101010101010101010,1001010101010101010101010,100101010101010101010101010,10010101010101010101010101010,1001010101010101010101010101010
%N A266752 Binary representation of the n-th iteration of the "Rule 163" elementary cellular automaton starting with a single ON (black) cell.
%D A266752 S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.
%H A266752 Robert Price, <a href="/A266752/b266752.txt">Table of n, a(n) for n = 0..1000</a>
%H A266752 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ElementaryCellularAutomaton.html">Elementary Cellular Automaton</a>
%H A266752 S. Wolfram, <a href="http://wolframscience.com/">A New Kind of Science</a>
%H A266752 <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
%H A266752 <a href="https://oeis.org/wiki/Index_to_Elementary_Cellular_Automata">Index to Elementary Cellular Automata</a>
%F A266752 Conjectures from _Colin Barker_, Jan 20 2016 and Apr 18 2019: (Start)
%F A266752 a(n) = 101*a(n-1) - 100*a(n-2) for n>2.
%F A266752 G.f.: (1-x+10*x^2) / ((1-x)*(1-100*x)). (End)
%F A266752 Conjectured e.g.f.: (99 - 100*exp(x) + 991*exp(100*x))/990. - _Stefano Spezia_, Aug 05 2024
%t A266752 rule=163; 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 *)
%Y A266752 Cf. A263919, A266753.
%K A266752 nonn,easy
%O A266752 0,2
%A A266752 _Robert Price_, Jan 17 2016