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A255298 Number of ON cells after n generations of the odd-rule cellular automaton defined by OddRule 143 when started with a single ON cell. 2
1, 4, 4, 16, 4, 16, 16, 58, 4, 16, 16, 64, 16, 64, 58, 204, 4, 16, 16, 64, 16, 64, 64, 232, 16, 64, 64, 256, 58, 232, 204, 714, 4, 16, 16, 64, 16, 64, 64, 232, 16, 64, 64, 256, 64, 256, 232, 816, 16, 64, 64, 256, 64, 256, 256, 928, 58, 232, 232, 928, 204 (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

A255298[n_] := Total[CellularAutomaton[{10, {2, {{0, 0, 1}, {1, 0, 0}, {0, 1, 1}}}, {1, 1}}, {{{1}}, 0}, {{{n}}}], 2]; Array[A255298, 61, 0] (* JungHwan Min, Sep 29 2016 *)

A255298L[n_] := Total[#, 2] & /@ CellularAutomaton[{10, {2, {{0, 0, 1}, {1, 0, 0}, {0, 1, 1}}}, {1, 1}}, {{{1}}, 0}, n]; A255298L[60] (* JungHwan Min, Sep 29 2016 *)

CROSSREFS

Run length transform of A255299.

Sequence in context: A165825 A056959 A255300 * A255302 A102376 A217954

Adjacent sequences:  A255295 A255296 A255297 * A255299 A255300 A255301

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified February 20 12:12 EST 2018. Contains 299387 sequences. (Running on oeis4.)