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A255295 Number of ON cells after n generations of the odd-rule cellular automaton defined by OddRule 527 when started with a single ON cell. 2
1, 6, 6, 24, 6, 36, 24, 92, 6, 36, 36, 144, 24, 144, 92, 340, 6, 36, 36, 144, 36, 216, 144, 552, 24, 144, 144, 576, 92, 552, 340, 1236, 6, 36, 36, 144, 36, 216, 144, 552, 36, 216, 216, 864, 144, 864, 552, 2040, 24, 144, 144, 576, 144, 864, 576 (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

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 *)

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 *)

CROSSREFS

Run length transform of A255296.

Sequence in context: A053168 A141388 A255473 * A255475 A253100 A247640

Adjacent sequences:  A255292 A255293 A255294 * A255296 A255297 A255298

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified March 23 18:13 EDT 2019. Contains 321433 sequences. (Running on oeis4.)