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A267150
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Number of OFF (white) cells in the n-th iteration of the "Rule 105" elementary cellular automaton starting with a single ON (black) cell.
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1
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0, 3, 2, 5, 6, 9, 8, 11, 14, 9, 12, 15, 20, 15, 18, 21, 30, 9, 28, 15, 32, 27, 30, 33, 44, 15, 38, 25, 46, 33, 40, 43, 62, 9, 60, 15, 64, 27, 62, 33, 72, 27, 58, 45, 74, 45, 60, 63, 92, 15, 86, 25, 90, 45, 84, 55, 102, 33, 84, 55, 100, 63, 82, 85, 126, 9
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OFFSET
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0,2
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REFERENCES
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S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.
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LINKS
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MATHEMATICA
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rule=105; rows=20; ca=CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}]; (* Start with single black cell *) catri=Table[Take[ca[[k]], {rows-k+1, rows+k-1}], {k, 1, rows}]; (* Truncated list of each row *) nbc=Table[Total[catri[[k]]], {k, 1, rows}]; (* Number of Black cells in stage n *) Table[Length[catri[[k]]]-nbc[[k]], {k, 1, rows}] (* Number of White cells in stage n *)
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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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