%I #11 Jan 17 2016 11:07:49

%S 1,0,1,0,5,3,5,0,13,11,13,7,17,11,13,0,29,27,29,23,33,27,29,15,41,35,

%T 37,23,41,27,29,0,61,59,61,55,65,59,61,47,73,67,69,55,73,59,61,31,89,

%U 83,85,71,89,75,77,47,97,83,85,55,89,59,61,0,125,123,125

%N Number of ON (black) cells in the n-th iteration of the "Rule 129" 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="/A267445/b267445.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 Conjecture: a(n) = A071050(n), n>0. - _R. J. Mathar_, Jan 17 2016

%t rule=129; 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[Total[catri[[k]]],{k,1,rows}] (* Number of Black cells in stage n *)

%Y Cf. A267417.

%K nonn,easy

%O 0,5

%A _Robert Price_, Jan 15 2016