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Number of ON cells after n generations of the odd-rule cellular automaton defined by OddRule 157 when started with a single ON cell.
1

%I #7 Mar 17 2015 14:51:00

%S 1,6,6,20,6,36,20,84,6,36,36,120,20,120,84,296,6,36,36,120,36,216,120,

%T 504,20,120,120,400,84,504,296,1124,6,36,36,120,36,216,120,504,36,216,

%U 216,720,120,720,504,1776,20,120,120,400,120,720,400,1680,84,504,504,1680

%N Number of ON cells after n generations of the odd-rule cellular automaton defined by OddRule 157 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 A255469.

%K nonn

%O 0,2

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