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A265206 Total number of ON cells after n iterations of the "Rule 73" elementary cellular automaton starting with a single ON cell. 3

%I #8 Dec 05 2015 15:20:49

%S 1,1,4,4,11,13,18,20,29,35,40,50,63,69,80,90,105,115,134,144,167,177,

%T 194,214,233,249,274,292,311,331,356,370,407,427,454,480,515,535,572,

%U 602,643,667,700,736,775,801,846,882,919,957,998,1034,1083,1127,1156

%N Total number of ON cells after n iterations of the "Rule 73" elementary cellular automaton starting with a single ON cell.

%D S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.

%H Robert Price, <a href="/A265206/b265206.txt">Table of n, a(n) for n = 0..999</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ElementaryCellularAutomaton.html">Elementary Cellular Automaton</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 = 73; rows = 30; Table[Total[Take[Table[Total[Table[Take[CellularAutomaton[rule,{{1},0},rows-1,{All,All}][[k]],{rows-k+1,rows+k-1}],{k,1,rows}][[k]]],{k,1,rows}],k]],{k,1,rows}]

%Y Cf. A245549, A262448, A265122, A265156, A265205.

%K nonn,easy

%O 0,3

%A _Robert Price_, Dec 04 2015

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