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%I A264442 #22 Jan 18 2016 11:28:57
%S A264442 1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,1,
%T A264442 1,1,0,0,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,1,1,
%U A264442 1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,1,1
%N A264442 Triangle read by rows giving successive states of cellular automaton generated by "Rule 169" initiated with a single ON (black) cell.
%C A264442 Row n has length 2n+1.
%D A264442 S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.
%H A264442 Robert Price, <a href="/A264442/b264442.txt">Table of n, a(n) for n = 0..10000</a>
%H A264442 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ElementaryCellularAutomaton.html">Elementary Cellular Automaton</a>
%H A264442 S. Wolfram, <a href="http://wolframscience.com/">A New Kind of Science</a>
%H A264442 <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
%H A264442 <a href="https://oeis.org/wiki/Index_to_Elementary_Cellular_Automata">Index to Elementary Cellular Automata</a>
%e A264442 The first ten rows:
%e A264442                   1
%e A264442                 0 0 0
%e A264442               0 0 1 0 1
%e A264442             0 0 0 0 1 1 1
%e A264442           0 0 1 1 0 1 1 1 1
%e A264442         0 0 0 1 0 1 1 1 1 1 1
%e A264442       0 0 1 0 0 1 1 1 1 1 1 1 1
%e A264442     0 0 0 0 0 0 1 1 1 1 1 1 1 1 1
%e A264442   0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1
%e A264442 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1
%t A264442 rule=169; 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 *) Flatten[catri] (* Triangle Representation of CA *)
%K A264442 nonn,tabf,easy
%O A264442 0
%A A264442 _Robert Price_, Jan 18 2016

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