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A267052 Decimal representation of the n-th iteration of the "Rule 92" elementary cellular automaton starting with a single ON (black) cell. 2
1, 3, 7, 11, 23, 43, 87, 171, 343, 683, 1367, 2731, 5463, 10923, 21847, 43691, 87383, 174763, 349527, 699051, 1398103, 2796203, 5592407, 11184811, 22369623, 44739243, 89478487, 178956971, 357913943, 715827883, 1431655767, 2863311531, 5726623063, 11453246123 (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) = (3+2*(-1)^n+2^(2+n))/3 for n>0.

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

G.f.: (1+x-4*x^3) / ((1-x)*(1+x)*(1-2*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]], 2], {k, 1, rows}]   (* Decimal Representation of Rows *)

CROSSREFS

Cf. A267050.

Sequence in context: A283706 A284402 A284543 * A267009 A116606 A188132

Adjacent sequences:  A267049 A267050 A267051 * A267053 A267054 A267055

KEYWORD

nonn,easy

AUTHOR

Robert Price, Jan 09 2016

STATUS

approved

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Last modified May 7 06:18 EDT 2021. Contains 343636 sequences. (Running on oeis4.)