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A169649
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Total number of cells that are ON at stage n in Wolfram's 2-D cellular automaton defined by Rule 942.
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4
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0, 1, 5, 9, 21, 29, 41, 53, 89, 117, 129, 141, 177, 205, 241, 277, 385, 485, 497, 509, 545, 573, 609, 645, 753, 845, 881, 917, 1025, 1109, 1217, 1325, 1649, 1989, 2001, 2013, 2049, 2077, 2113, 2149, 2257, 2349, 2385, 2421, 2529, 2613, 2721, 2829
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OFFSET
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-1,3
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COMMENTS
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We work on the square grid. A cell is turned ON iff exactly one or four of its four neighbors is ON. Once a cell is ON it stays ON. At stage -1 all cells are OFF. At stage 0 a single cell is turned ON.
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REFERENCES
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S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 928.
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LINKS
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MATHEMATICA
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Map[Function[Apply[Plus, Flatten[ #1]]], CellularAutomaton[{ 942, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 100]]
ArrayPlot /@ CellularAutomaton[{942, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 23]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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