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A267523 Binary representation of the n-th iteration of the "Rule 139" elementary cellular automaton starting with a single ON (black) cell. 1
1, 100, 10011, 1001111, 100111111, 10011111111, 1001111111111, 100111111111111, 10011111111111111, 1001111111111111111, 100111111111111111111, 10011111111111111111111, 1001111111111111111111111, 100111111111111111111111111, 10011111111111111111111111111 (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 16 2016: (Start)

a(n) = 101*a(n-1)-100*a(n-2) for n>2.

G.f.: (1-x+11*x^2) / ((1-x)*(1-100*x)).

(End)

MATHEMATICA

rule=139; 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. A267520.

Sequence in context: A096885 A267449 A266752 * A027576 A099374 A233627

Adjacent sequences:  A267520 A267521 A267522 * A267524 A267525 A267526

KEYWORD

nonn,changed

AUTHOR

Robert Price, Jan 16 2016

STATUS

approved

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Last modified April 19 06:30 EDT 2019. Contains 322237 sequences. (Running on oeis4.)