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%I #14 Apr 17 2019 11:47:05
%S 1,6,20,120,368,1888,5952,30592,96000,488960,1537024,7829504,24604672,
%T 125263872,393691136,2004320256,6299254784,32068993024,100788338688,
%U 513105461248,1612616564736,8209685282816,25801869230080,131354989690880,412829958012928
%N Decimal representation of the n-th iteration of the "Rule 230" 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="/A267855/b267855.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 Conjectures from _Colin Barker_, Jan 21 2016 and Apr 17 2019: (Start)
%F a(n) = 16*a(n-2)+16*a(n-4)-256*a(n-6) for n>5.
%F G.f.: (1+6*x+4*x^2+24*x^3+32*x^4-128*x^5) / ((1-2*x)*(1+2*x)*(1-4*x)*(1+4*x)*(1+4*x^2)).
%F (End)
%t rule=230; 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. A267853.
%K nonn,easy
%O 0,2
%A _Robert Price_, Jan 21 2016