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A255449 A255448(2^n-1). 1


%S 1,5,19,71,257,925,3323,11919,42729,153173,549075,1968247,7055601,

%T 25292621,90668587,325028895,1165167673,4176914949,14973497539,

%U 53677355783,192423938625,689806295677,2472835597211,8864685923631,31778359388937,113919900383925,408383064188083,1463982386475159

%N A255448(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^2-2*x^3-6*x^4)/(1-6*x+10*x^2-8*x^3+15*x^4-10*x^5-10*x^6).

%Y Cf. A255448.

%K nonn

%O 0,2

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

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Last modified April 19 09:03 EDT 2019. Contains 322241 sequences. (Running on oeis4.)