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A253105 A253104(2^n-1). 1

%I #11 Mar 17 2015 20:30:59

%S 1,8,32,140,580,2300,9212,36708,145684,579132,2300748,9136868,

%T 36293220,144150716,572523772,2273961796,9031663444,35871633244,

%U 142474173772,565874928900,2247525801188,8926662348828,35454669141436,140817868278436

%N A253104(2^n-1).

%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>

%F G.f.: -(-1-4*t-6*t^3-t^4-8*t^5+4*t^6)/(1-4*t-6*t^3+29*t^4-12*t^5-8*t^6+8*t^7).

%Y Cf. A253104.

%K nonn

%O 0,2

%A _N. J. A. Sloane_ and _Doron Zeilberger_, Feb 19 2015

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Last modified April 19 17:49 EDT 2024. Contains 371797 sequences. (Running on oeis4.)