%I #7 Mar 17 2015 16:04:10
%S 1,5,19,73,271,993,3643,13309,48655,177805,649699,2374129,8674999,
%T 31698625,115826659,423229469,1546477863,5650815053,20648028987,
%U 75447710625,275685244735,1007351382097,3680852748715,13449802390397,49145455249183,179577045144493,656172884958899,2397649735785777
%N A255443(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+7*x^4+4*x^5+2*x^6)/(1-4*x-x^2+8*x^3+7*x^4-26*x^5+11*x^6+14*x^7+2*x^8-4*x^9).
%Y Cf. A255443.
%K nonn
%O 0,2
%A _N. J. A. Sloane_ and _Doron Zeilberger_, Feb 23 2015