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A266900
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Number of OFF (white) cells in the n-th iteration of the "Rule 75" elementary cellular automaton starting with a single ON (black) cell.
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1
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0, 2, 2, 3, 4, 6, 8, 6, 10, 9, 13, 9, 15, 10, 19, 13, 20, 16, 23, 15, 24, 16, 30, 19, 30, 18, 39, 16, 35, 24, 37, 27, 39, 27, 45, 21, 46, 33, 45, 31, 51, 26, 56, 31, 53, 33, 55, 37, 63, 29, 69, 35, 60, 44, 68, 38, 70, 41, 71, 37, 78, 38, 76, 48, 83, 41, 90
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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=75; 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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