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A255302 Number of ON cells after n generations of the odd-rule cellular automaton defined by OddRule 146 when started with a single ON cell. 2
1, 4, 4, 16, 4, 16, 16, 60, 4, 16, 16, 64, 16, 64, 60, 216, 4, 16, 16, 64, 16, 64, 64, 240, 16, 64, 64, 256, 60, 240, 216, 768, 4, 16, 16, 64, 16, 64, 64, 240, 16, 64, 64, 256, 64, 256, 240, 864, 16, 64, 64, 256, 64, 256, 256, 960, 60, 240, 240, 960 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

JungHwan Min, Table of n, a(n) for n = 0..10000

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 [math.CO], 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

MATHEMATICA

A255302[n_] := Total[CellularAutomaton[{10, {2, {{0, 0, 1}, {1, 0, 0}, {1, 1, 0}}}, {1, 1}}, {{{1}}, 0}, {{{n}}}], 2]; Array[A255302, 60, 0] (* JungHwan Min, Sep 29 2016 *)

A255302L[n_] := Total[#, 2] & /@ CellularAutomaton[{10, {2, {{0, 0, 1}, {1, 0, 0}, {1, 1, 0}}}, {1, 1}}, {{{1}}, 0}, n]; A255302L[59] (* JungHwan Min, Sep 29 2016 *)

CROSSREFS

Run length transform of A255303.

Sequence in context: A056959 A255300 A255298 * A102376 A217954 A273749

Adjacent sequences:  A255299 A255300 A255301 * A255303 A255304 A255305

KEYWORD

nonn

AUTHOR

N. J. A. Sloane and Doron Zeilberger, Feb 23 2015

STATUS

approved

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Last modified February 20 10:23 EST 2018. Contains 299385 sequences. (Running on oeis4.)