login
Binary representation of the n-th iteration of the "Rule 181" elementary cellular automaton starting with a single ON (black) cell.
1

%I #7 Jan 19 2016 10:01:11

%S 1,11,1011,111011,10101011,1111111011,101111101011,11101110111011,

%T 1010101010101011,111111111111111011,10111111111111101011,

%U 1110111111111110111011,101010111111111010101011,11111110111111101111111011,1011111010111110101111101011

%N Binary representation of the n-th iteration of the "Rule 181" 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="/A267606/b267606.txt">Table of n, a(n) for n = 0..1000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://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=181; 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. A267605.

%K nonn,easy

%O 0,2

%A _Robert Price_, Jan 18 2016