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A267051 Binary representation of the n-th iteration of the "Rule 92" elementary cellular automaton starting with a single ON (black) cell. 2
1, 11, 111, 1011, 10111, 101011, 1010111, 10101011, 101010111, 1010101011, 10101010111, 101010101011, 1010101010111, 10101010101011, 101010101010111, 1010101010101011, 10101010101010111, 101010101010101011, 1010101010101010111, 10101010101010101011 (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 10 2016 and Apr 17 2019: (Start)

a(n) = (539+450*(-1)^n+10^(2+n))/99 for n>0.

a(n) = 10*a(n-1)+a(n-2)-10*a(n-3) for n>3.

G.f.: (1+x-100*x^3) / ((1-x)*(1+x)*(1-10*x)).

(End)

MATHEMATICA

rule=92; 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. A267050.

Sequence in context: A283704 A284400 A284541 * A101680 A267356 A215559

Adjacent sequences:  A267048 A267049 A267050 * A267052 A267053 A267054

KEYWORD

nonn,easy

AUTHOR

Robert Price, Jan 09 2016

STATUS

approved

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Last modified May 15 06:46 EDT 2021. Contains 343909 sequences. (Running on oeis4.)