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A267449
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Binary representation of the n-th iteration of the "Rule 131" elementary cellular automaton starting with a single ON (black) cell.
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1
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1, 100, 10010, 1001000, 100100110, 10010010000, 1001001001110, 100100100101000, 10010010010000110, 1001001001001110000, 100100100100101001110, 10010010010010000101000, 1001001001001001110000110, 100100100100100101001110000, 10010010010010010000101001110
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internal format)
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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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FORMULA
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Empirical g.f.: (1+10*x^2-1000*x^3+109*x^4-11000*x^5+1100*x^6-119000*x^7+900000*x^8) / ((1-x)*(1+x)*(1-10*x)*(1-100*x)*(1+x^2)*(1+10*x+100*x^2)). - Colin Barker, Jan 15 2016 and Apr 19 2019
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MATHEMATICA
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rule=131; 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 *) Table[FromDigits[catri[[k]]], {k, 1, rows}] (* Binary Representation of Rows *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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