A267128 Decimal representation of the n-th iteration of the "Rule 99" elementary cellular automaton starting with a single ON (black) cell.

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.

Links

Robert Price, Table of n, a(n) for n = 0..1000

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

S. Wolfram, A New Kind of Science

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

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

Adjacent sequences: A267125 A267126 A267127 * A267129 A267130 A267131

Keyword

nonn,easy

Author

Robert Price, Jan 10 2016

Status

approved