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A267779 Binary representation of the n-th iteration of the "Rule 211" elementary cellular automaton starting with a single ON (black) cell. 1
1, 101, 11001, 1111101, 111111001, 11111111101, 1111111111001, 111111111111101, 11111111111111001, 1111111111111111101, 111111111111111111001, 11111111111111111111101, 1111111111111111111111001, 111111111111111111111111101, 11111111111111111111111111001 (list; graph; refs; listen; history; text; internal format)
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

Conjectures from Colin Barker, Jan 20 2016 and Apr 20 2019: (Start)

a(n) = 100*a(n-1)+a(n-2)-100*a(n-3) for n>3.

G.f.: (1+x+900*x^2+11000*x^3) / ((1-x)*(1+x)*(1-100*x)).

(End)

MATHEMATICA

rule=211; 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 *)

CROSSREFS

Cf. A267778.

Sequence in context: A100027 A097727 A083981 * A138148 A138831 A267920

Adjacent sequences:  A267776 A267777 A267778 * A267780 A267781 A267782

KEYWORD

nonn,easy

AUTHOR

Robert Price, Jan 20 2016

STATUS

approved

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Last modified October 31 05:06 EDT 2020. Contains 338098 sequences. (Running on oeis4.)