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Number of ON cells after n generations of the odd-rule cellular automaton defined by OddRule 166 when started with a single ON cell.
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%I #7 Mar 17 2015 16:02:11

%S 1,5,5,21,5,25,21,85,5,25,25,105,21,105,85,333,5,25,25,105,25,125,105,

%T 425,21,105,105,441,85,425,333,1293,5,25,25,105,25,125,105,425,25,125,

%U 125,525,105,525,425,1665,21,105,105,441,105,525,441,1785,85,425,425,1785

%N Number of ON cells after n generations of the odd-rule cellular automaton defined by OddRule 166 when started with a single ON cell.

%H Shalosh B. Ekhad, N. J. A. Sloane, and Doron Zeilberger, <a href="http://arxiv.org/abs/1503.01796">A Meta-Algorithm for Creating Fast Algorithms for Counting ON Cells in Odd-Rule Cellular Automata</a>, arXiv:1503.01796, 2015; see also the <a href="http://www.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/CAcount.html">Accompanying Maple Package</a>.

%H Shalosh B. Ekhad, N. J. A. Sloane, and Doron Zeilberger, <a href="http://arxiv.org/abs/1503.04249">Odd-Rule Cellular Automata on the Square Grid</a>, arXiv:1503.04249, 2015.

%H N. J. A. Sloane, On the No. of ON Cells in Cellular Automata, Video of talk in Doron Zeilberger's Experimental Math Seminar at Rutgers University, Feb. 05 2015: <a href="https://vimeo.com/119073818">Part 1</a>, <a href="https://vimeo.com/119073819">Part 2</a>

%H N. J. A. Sloane, <a href="http://arxiv.org/abs/1503.01168">On the Number of ON Cells in Cellular Automata</a>, arXiv:1503.01168, 2015

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

%Y Run length transform of A255451.

%K nonn

%O 0,2

%A _N. J. A. Sloane_ and _Doron Zeilberger_, Feb 23 2015