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A071029 Triangle read by rows giving successive states of cellular automaton generated by "Rule 22".

%I A071029 #27 Jan 30 2016 14:39:21
%S A071029 1,1,1,1,1,0,0,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,
%T A071029 1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,
%U A071029 0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1
%N A071029 Triangle read by rows giving successive states of cellular automaton generated by "Rule 22".
%C A071029 Row n has length 2n+1.
%D A071029 S. Wolfram, A New Kind of Science, Wolfram Media, 2002; Chapter 3.
%H A071029 Michael De Vlieger, <a href="/A071029/b071029.txt">Table of n, a(n) for n = 0..10000</a>
%H A071029 Michael De Vlieger, <a href="/A071029/a071029.png">Illustration of first 256 generations</a>
%H A071029 S. Wolfram, <a href="http://wolframscience.com/">A New Kind of Science</a>
%H A071029 <a href="https://oeis.org/wiki/Index_to_Elementary_Cellular_Automata">Index to Elementary Cellular Automata</a>
%H A071029 <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
%e A071029 From _Michael De Vlieger_, Oct 05 2015: (Start)
%e A071029 First 8 rows, replacing "0" with "." for better visibility of ON cells:
%e A071029                 1
%e A071029               1 1 1
%e A071029             1 . . . 1
%e A071029           1 1 1 . 1 1 1
%e A071029         1 . . . . . . . 1
%e A071029       1 1 1 . . . . . 1 1 1
%e A071029     1 . . . 1 . . . 1 . . . 1
%e A071029   1 1 1 . 1 1 1 . 1 1 1 . 1 1 1
%e A071029 1 . . . . . . . . . . . . . . . 1
%e A071029 (End)
%t A071029 clip[lst_] := Block[{p = Flatten@ Position[lst, 1]}, Take[lst, {Min@ p, Max@ p}]]; clip /@ CellularAutomaton[22, {{1}, 0}, 9] // Flatten (* _Michael De Vlieger_, Oct 05 2015 *)
%Y A071029 For number of ON cells see A071044.
%K A071029 nonn,tabf
%O A071029 0,1
%A A071029 _Hans Havermann_, May 26 2002
%E A071029 Corrected by _Hans Havermann_, Jan 07 2012