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%I #19 Sep 30 2016 13:08:31
%S 1,6,6,24,6,36,24,92,6,36,36,144,24,144,92,340,6,36,36,144,36,216,144,
%T 552,24,144,144,576,92,552,340,1236,6,36,36,144,36,216,144,552,36,216,
%U 216,864,144,864,552,2040,24,144,144,576,144,864,576
%N Number of ON cells after n generations of the odd-rule cellular automaton defined by OddRule 527 when started with a single ON cell.
%H JungHwan Min, <a href="/A255295/b255295.txt">Table of n, a(n) for n = 0..10000</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 [math.CO], 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 [math.CO], 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 [math.CO], 2015.
%H <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
%t A255295[n_] := Total[CellularAutomaton[{42, {2, {{1, 0, 1}, {0, 1, 0}, {1, 1, 1}}}, {1, 1}}, {{{1}}, 0}, {{{n}}}], 2]; Array[A255295, 55, 0] (* _JungHwan Min_, Sep 29 2016 *)
%t A255295L[n_] := Total[#, 2] & /@ CellularAutomaton[{42, {2, {{1, 0, 1}, {0, 1, 0}, {1, 1, 1}}}, {1, 1}}, {{{1}}, 0}, n]; A255462L[54] (* _JungHwan Min_, Sep 29 2016 *)
%Y Run length transform of A255296.
%K nonn
%O 0,2
%A _N. J. A. Sloane_ and _Doron Zeilberger_, Feb 23 2015
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