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A255446(2^n-1).
1

%I #7 Mar 17 2015 16:03:07

%S 1,5,21,79,291,1043,3725,13205,46793,165471,585191,2068315,7310897,

%T 25837453,91315845,322715687,1140515523,4030652683,14244666301,

%U 50341596733,177910950553,628749519543,2222045769223,7852864484723,27752577642625,98079551982773,346620034979541,1224979511026399,4329163636559235,15299568080670371

%N A255446(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-x)*(1+x)*(1+x-x^2)/((1-x-x^2)*(1-3*x-5*x^2+11*x^3)).

%Y Cf. A255446.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Feb 23 2015

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