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%I #9 Jan 09 2016 15:11:12
%S 1,1,3,4,5,5,5,9,7,10,8,14,10,17,10,18,13,19,14,24,17,27,15,28,19,33,
%T 14,39,22,35,24,36,26,40,24,50,27,42,32,48,30,57,29,56,36,58,38,58,34,
%U 70,32,68,45,63,41,73,43,74,46,82,43,85,49,79,46,90,43
%N Number of ON (black) cells in the n-th iteration of the "Rule 75" 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="/A266898/b266898.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=75; 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[Total[catri[[k]]],{k,1,rows}] (* Number of Black cells in stage n *)
%Y Cf. A266892.
%K nonn,easy
%O 0,3
%A _Robert Price_, Jan 05 2016
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