Revision History for A246311
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A246311
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Number of ON cells at generation n of 2-D cellular automaton in which a cell is ON iff either 1 or 2 of its eight neighbors were ON at previous generation, starting with a single ON cell.
(history;
published version)
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#9 by N. J. A. Sloane at Sat Aug 23 15:03:53 EDT 2014
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#8 by N. J. A. Sloane at Sat Aug 23 15:03:49 EDT 2014
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N. J. A. Sloane, <a href="/A246311/a246311.pdf">TITLEIllustration of first FOR28 LINKgenerations</a>
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#7 by N. J. A. Sloane at Sat Aug 23 15:03:10 EDT 2014
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N. J. A. Sloane, <a href="/A246311/a246311.pdf">TITLE FOR LINK</a>
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approved
editing
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#6 by N. J. A. Sloane at Sat Aug 23 15:01:57 EDT 2014
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#5 by N. J. A. Sloane at Sat Aug 23 15:01:54 EDT 2014
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| NAME
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Number of ON cells at generation n of 2-D cellular automaton in which a cell is ON iff either 1, 2 or 32 of its eight neighbors were ON at previous generation, starting with a single ON cell.
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| COMMENTS
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This is the Rule 25260 outer totalistic 8-neighbor 2-D CA.
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N. J. A. Sloane, <a href="/A246308/a246308.pdf">Illustration of first 28 generations.</a>
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| MATHEMATICA
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Total@*Total /@ CellularAutomaton[{25260, {2, {{2, 2, 2}, {2, 1, 2}, {2, 2, 2}}}, {1, 1}}, {{{1}}, 0}, 66]
ArrayPlot /@ CellularAutomaton[{25260, {2, {{2, 2, 2}, {2, 1, 2}, {2, 2, 2}}}, {1, 1}}, {{{1}}, 0}, 28]
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#4 by N. J. A. Sloane at Sat Aug 23 15:01:02 EDT 2014
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q
Number of ON cells at generation n of 2-D cellular automaton in which a cell is ON iff either 1, 2 or 3 of its eight neighbors were ON at previous generation, starting with a single ON cell.
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| COMMENTS
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This is the Rule 252 outer totalistic 8-neighbor 2-D CA.
The first few generations are easy to understand, but then there are complications (hence the keyword "look", which refers to the illustrations).
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N. J. A. Sloane, <a href="/A246308/a246308.pdf">Illustration of first 28 generations.</a>
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| MATHEMATICA
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Total@*Total /@ CellularAutomaton[{252, {2, {{2, 2, 2}, {2, 1, 2}, {2, 2, 2}}}, {1, 1}}, {{{1}}, 0}, 66]
ArrayPlot /@ CellularAutomaton[{252, {2, {{2, 2, 2}, {2, 1, 2}, {2, 2, 2}}}, {1, 1}}, {{{1}}, 0}, 28]
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| KEYWORD
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nonn,look,new
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approved
editing
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#3 by N. J. A. Sloane at Sat Aug 23 15:00:39 EDT 2014
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#2 by N. J. A. Sloane at Sat Aug 23 15:00:37 EDT 2014
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| NAME
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allocated for N. J. A. Sloane
q
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| DATA
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1, 8, 16, 24, 28, 56, 68, 88, 112, 116, 148, 216, 232, 260, 400, 320, 420, 440, 508, 472, 512, 564, 752, 684, 876, 896, 1064, 1064, 1224, 1368, 1620, 1396, 1564, 1612, 1756, 1632, 1976, 1676, 2008, 1848, 2016, 2080, 2332, 2004, 2488, 2332, 2988, 2516, 2868, 3008, 3184, 2956, 3476, 3432, 3556, 3532, 4008, 4116, 4676, 4308, 4984, 5044, 6044, 5148, 5780, 5780, 6200
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| OFFSET
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0,2
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| KEYWORD
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allocated
nonn
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| AUTHOR
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N. J. A. Sloane, Aug 23 2014
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| STATUS
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approved
editing
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#1 by N. J. A. Sloane at Fri Aug 22 16:27:41 EDT 2014
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allocated for N. J. A. Sloane
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| KEYWORD
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allocated
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| STATUS
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approved
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