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%I #7 Jan 09 2016 15:10:57
%S 1,2,4,8,17,35,70,140,281,562,1125,2250,4500,9001,18003,36006,72012,
%T 144024,288049,576099,1152199,2304398,4608797,9217595,18435190,
%U 36870380,73740760,147481521,294963043,589926086,1179852173,2359704346,4719408693,9438817386
%N Decimal representation of the middle column 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="/A266897/b266897.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 *) mc=Table[catri[[k]][[k]],{k,1,rows}]; (* Keep only middle cell from each row *) Table[FromDigits[Take[mc,k],2],{k,1,rows}] (* Binary Representation of Middle Column *)
%Y Cf. A266892.
%K nonn,easy
%O 0,2
%A _Robert Price_, Jan 05 2016
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