

A255297


Number of ON cells after n generations of the oddrule 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
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OFFSET

0,2


LINKS

Table of n, a(n) for n=0..59.
Shalosh B. Ekhad, N. J. A. Sloane, and Doron Zeilberger, A MetaAlgorithm for Creating Fast Algorithms for Counting ON Cells in OddRule Cellular Automata, arXiv:1503.01796 [math.CO], 2015; see also the Accompanying Maple Package.
Shalosh B. Ekhad, N. J. A. Sloane, and Doron Zeilberger, OddRule 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.
Index entries for sequences related to cellular automata


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}] (* JeanFrançois 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



