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A267127 Binary representation of the n-th iteration of the "Rule 99" elementary cellular automaton starting with a single ON (black) cell. 1

%I

%S 1,100,1010,1101001,1100100,11101010011,1101001000,111101100100111,

%T 1101010010000,1111101101001001111,1101100100100000,

%U 11111101101010010011111,1101101001001000000,111111101101100100100111111,1101101010010010000000,1111111101101101001001001111111

%N Binary representation of the n-th iteration of the "Rule 99" 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="/A267127/b267127.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>

%F Empirical g.f.: (1 +100*x -10001*x^2 -1099*x^3 -10000*x^5 -899991000*x^6 +10000000*x^7 +10911000000*x^8 -20000000000*x^10) / ((1 -x)*(1 +x)*(1 -10*x)*(1 -100*x)*(1 +100*x)*(1 -10*x^2)*(1 +10*x +100*x^2)*(1 -1000*x^2)). - _Colin Barker_, Jan 11 2016 and Apr 19 2019

%t rule=99; 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. A267126.

%K nonn,easy

%O 0,2

%A _Robert Price_, Jan 10 2016

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Last modified July 8 07:34 EDT 2020. Contains 335513 sequences. (Running on oeis4.)