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%I #7 Mar 17 2015 15:57:42
%S 1,6,22,82,306,1142,4250,15806,58730,218142,810074,3007886,11167914,
%T 41463774,153942330,571535534,2121906442,7877856190,29247532442,
%U 108585059214,403135208426,1496688037406,5556634000122,20629669372526,76590116106186,284349965403518,1055683240842074,3919350217589838,14551056119534250,54022534883643358
%N A255460(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+2*x-3*x^2-6*x^3-2*x^4+4*x^5)/((1+x)*(1-2*x)*(1-4*x+x^2+2*x^4-4*x^5)).
%Y Cf. A255460.
%K nonn
%O 0,2
%A _N. J. A. Sloane_ and _Doron Zeilberger_, Feb 23 2015
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