A255478 - OEIS

%I #8 Mar 18 2015 00:26:11

%S 1,80,624,16480,221888,4245888,66759424,1158095360,18967114752,

%T 318729757696,5260906022912,87309457787904,1439402906245120,

%U 23729936541559808,389928297670440960,6398667538798480384,104773970517568231424,1712967144350639066112,27958316901583753934848

%N The subsequence A255477(2^n-1).

%H Shalosh B. Ekhad, <a href="/A255477/a255477.txt">Details about A255477 and A255478</a>

%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 For g.f. see Ekhad link.

%Y Cf. A255477.

%K nonn

%O 0,2

%A _Doron Zeilberger_, Feb 26 2015