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A267512 Decimal representation of the n-th iteration of the "Rule 137" elementary cellular automaton starting with a single ON (black) cell. 1

%I #8 Jan 17 2016 09:58:16

%S 1,0,5,3,119,207,1311,191,31871,62207,377343,211967,7628799,12750847,

%T 87056383,5128191,2115600383,4188078079,25268453375,15329394687,

%U 506978631679,866512797695,5511502102527,1050064977919,138276212047871,267395251830783

%N Decimal representation of the n-th iteration of the "Rule 137" 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="/A267512/b267512.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=137; 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]],2],{k,1,rows}] (* Decimal Representation of Rows *)

%Y Cf. A267463.

%K nonn,easy

%O 0,3

%A _Robert Price_, Jan 16 2016

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)