STATUS
proposed
approved
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Revision History for A255302
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Number of ON cells after n generations of the odd-rule cellular automaton defined by OddRule 146 when started with a single ON cell.
(history; published version)
(history; published version)
STATUS
editing
proposed
LINKS
Shalosh B. Ekhad, N. J. A. Sloane, and Doron Zeilberger, <a href="http://arxiv.org/abs/1503.01796">A Meta-Algorithm for Creating Fast Algorithms for Counting ON Cells in Odd-Rule Cellular Automata</a>, arXiv:1503.01796, [math.CO], 2015; see also the <a href="http://www.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/CAcount.html">Accompanying Maple Package</a>.
Shalosh B. Ekhad, N. J. A. Sloane, and Doron Zeilberger, <a href="http://arxiv.org/abs/1503.04249">Odd-Rule Cellular Automata on the Square Grid</a>, arXiv:1503.04249, [math.CO], 2015.
N. J. A. Sloane, <a href="http://arxiv.org/abs/1503.01168">On the Number of ON Cells in Cellular Automata</a>, arXiv:1503.01168, [math.CO], 2015.
STATUS
proposed
editing
STATUS
editing
proposed
LINKS
JungHwan Min, <a href="/A255302/b255302.txt">Table of n, a(n) for n = 0..10000</a>
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 *)
STATUS
approved
editing
STATUS
editing
approved
REFERENCES
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, Preprint, 2015.
LINKS
Shalosh B. Ekhad, N. J. A. Sloane, and Doron Zeilberger, <a href="http://arxiv.org/A160239abs/a160239_11503.txt01796Catalog of 3X3 A Meta-Algorithm for Creating Fast Algorithms for Counting ON Cells in Odd -Rule Cellular Automata</a>, arXiv:1503.01796, 2015; see also the <a href="http://www.math.rutgers.edu/~zeilberg/mamarim
Shalosh B. Ekhad, N. J. A. Sloane, and Doron Zeilberger, <a href="http://NeilSloanearxiv.comorg/docabs/Fredkin1503.pdf04249On the Number of ON Cells in Odd-Rule Cellular Automata on the Square Grid</a>, 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: <a href="https://vimeo.com/119073818">Part 1</a>, <a href="https://vimeo.com/119073819">Part 2</a>
N. J. A. Sloane, <a href="http://arxiv.org/abs/1503.01168">On the Number of ON Cells in Cellular Automata</a>, arXiv:1503.01168, 2015
STATUS
approved
editing
STATUS
editing
approved
STATUS
editing
approved