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A255477 Number of ON cells after n generations in 4-D cellular automaton defined by 4-dimensional analog of Moore neighborhood, when started with a single ON cell at generation 0. 3

%I

%S 1,80,80,624,80,6400,624,16480,80,6400,6400,49920,624,49920,16480,

%T 221888,80,6400,6400,49920,6400,512000,49920,1318400,624,49920,49920,

%U 389376,16480,1318400,221888,4245888,80,6400,6400,49920,6400,512000,49920,1318400,6400,512000,512000,3993600,49920,3993600,1318400

%N Number of ON cells after n generations in 4-D cellular automaton defined by 4-dimensional analog of Moore neighborhood, when started with a single ON cell at generation 0.

%C Run length transform of A255478.

%H Shalosh B. Ekhad, <a href="/A255477/a255477.txt">Details about A255477 and A255478</a>

%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 Cf. A255478.

%Y See also A160239 and A246031 for analogs in 2 and 3 dimensions.

%K nonn

%O 0,2

%A _Doron Zeilberger_, Feb 26 2015

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Last modified September 23 17:26 EDT 2017. Contains 292361 sequences.