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Triangle read by rows giving successive states of cellular automaton generated by "Rule 214".
3

%I #23 Feb 01 2016 05:23:24

%S 1,1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,

%T 1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,1,

%U 1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1

%N Triangle read by rows giving successive states of cellular automaton generated by "Rule 214".

%C Row n has length 2n+1.

%D S. Wolfram, A New Kind of Science, Wolfram Media, 2002; Chapter 3.

%H Robert Price, <a href="/A071040/b071040.txt">Table of n, a(n) for n = 0..10000</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="https://oeis.org/wiki/Index_to_Elementary_Cellular_Automata">Index to Elementary Cellular Automata</a>

%H <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>

%e The first ten rows:

%e 1

%e 1 1 1

%e 1 0 1 1 1

%e 1 1 0 0 1 1 1

%e 1 0 1 1 1 0 1 1 1

%e 1 1 0 0 1 1 0 0 1 1 1

%e 1 0 1 1 1 0 1 1 1 0 1 1 1

%e 1 1 0 0 1 1 0 0 1 1 0 0 1 1 1

%e 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1

%e 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 1

%K nonn,tabf

%O 0,1

%A _Hans Havermann_, May 26 2002

%E Corrected by _Hans Havermann_, Jan 07 2012