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 A255297 Number of ON cells after n generations of the odd-rule cellular automaton defined by OddRule 035 when started with a single ON cell. 0
 1, 4, 4, 14, 4, 16, 14, 46, 4, 16, 16, 56, 14, 56, 46, 146, 4, 16, 16, 56, 16, 64, 56, 184, 14, 56, 56, 196, 46, 184, 146, 454, 4, 16, 16, 56, 16, 64, 56, 184, 16, 64, 64, 224, 56, 224, 184, 584, 14, 56, 56, 196, 56, 224, 196, 644, 46, 184, 184, 644 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Shalosh B. Ekhad, N. J. A. Sloane, and  Doron Zeilberger, A Meta-Algorithm for Creating Fast Algorithms for Counting ON Cells in Odd-Rule Cellular Automata, arXiv:1503.01796 [math.CO], 2015; see also the Accompanying Maple Package. Shalosh B. Ekhad, N. J. A. Sloane, and  Doron Zeilberger, Odd-Rule Cellular Automata on the Square Grid, arXiv:1503.04249, 2015. 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: Part 1, Part 2 N. J. A. Sloane, On the Number of ON Cells in Cellular Automata, arXiv:1503.01168 [math.CO], 2015. FORMULA Run length transform of A027649. MATHEMATICA a27649[n_] := 2(3^n) - 2^n; Table[Times @@ (a27649[Length[#]]&) /@ Select[Split[IntegerDigits[n, 2]], #[[1]] == 1&], {n, 0, 59}] (* Jean-François Alcover, Sep 15 2018 *) CROSSREFS Cf. A027649. Sequence in context: A059443 A241250 A097335 * A263870 A263796 A263871 Adjacent sequences:  A255294 A255295 A255296 * A255298 A255299 A255300 KEYWORD nonn AUTHOR N. J. A. Sloane and Doron Zeilberger, Feb 23 2015 STATUS approved

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Last modified February 20 09:15 EST 2019. Contains 320325 sequences. (Running on oeis4.)