%I #8 Feb 16 2025 08:33:29
%S 1,11,111,1011,11111,100011,1100111,11101011,101111111,1110000011,
%T 10110000111,111110001011,1000110011111,11001110100011,
%U 111010111100111,1011111001101011,11100011011111111,101100111100000011,1111101001100000111,10001111011100001011
%N Binary representation of the n-th iteration of the "Rule 124" elementary cellular automaton starting with a single ON (black) cell.
%D S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.
%H Robert Price, <a href="/A267356/b267356.txt">Table of n, a(n) for n = 0..1000</a>
%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ElementaryCellularAutomaton.html">Elementary Cellular Automaton</a>
%H S. Wolfram, <a href="http://wolframscience.com/">A New Kind of Science</a>
%H <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
%H <a href="https://oeis.org/wiki/Index_to_Elementary_Cellular_Automata">Index to Elementary Cellular Automata</a>
%t rule=124; 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 Cf. A267355.
%K nonn,easy,changed
%O 0,2
%A _Robert Price_, Jan 13 2016