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.

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

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