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A269543
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Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 630", based on the 5-celled von Neumann neighborhood.
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0
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1, 6, 15, 36, 65, 110, 175, 264, 389, 522, 683, 864, 1077, 1338, 1615, 1948, 2293, 2786, 3307, 3880, 4457, 5110, 5783, 6568, 7377, 8282, 9291, 10324, 11321, 12522, 13715, 15072, 16461, 18202, 19763, 21628, 23441, 25454, 27443, 29664, 31821, 34178, 36571
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OFFSET
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0,2
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COMMENTS
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Initialized with a single black (ON) cell at stage zero.
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REFERENCES
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S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 170.
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LINKS
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MATHEMATICA
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rule=630; stages=300; ca=CellularAutomaton[ {rule, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, stages]; (* Start with single black cell *) on=Map[Function[Apply[Plus, Flatten[#1]]], ca]; (* Count ON cells at each stage *) Table[Total[Part[on, Range[1, i]]], {i, 1, Length[on]}]
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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