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A267128
Decimal representation of the n-th iteration of the "Rule 99" elementary cellular automaton starting with a single ON (black) cell.
1
1, 4, 10, 105, 100, 1875, 840, 31527, 6800, 514639, 55584, 8311967, 447040, 133613887, 3581056, 2142671487, 28723456, 34321278207, 229937664, 549448731135, 1839801344, 8793637557247, 14723205120, 140717847029759, 117795229696, 2251642721423359, 942381015040
OFFSET
0,2
REFERENCES
S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.
FORMULA
Empirical g.f.: (1 +4*x -17*x^2 -11*x^3 -16*x^5 -248*x^6 +128*x^7 +1472*x^8 -2048*x^10) / ((1 -x)*(1 +x)*(1 -2*x)*(1 -4*x)*(1 +4*x)*(1 -2*x^2)*(1 +2*x +4*x^2)*(1 -8*x^2)). - Colin Barker, Jan 11 2016 and Apr 19 2019
MATHEMATICA
rule=99; 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]], 2], {k, 1, rows}] (* Decimal Representation of Rows *)
CROSSREFS
Cf. A267126.
Sequence in context: A298953 A197851 A197865 * A098449 A118378 A203224
KEYWORD
nonn,easy
AUTHOR
Robert Price, Jan 10 2016
STATUS
approved