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A266670 Binary representation of the n-th iteration of the "Rule 53" elementary cellular automaton starting with a single ON (black) cell. 10
1, 11, 1000, 1011111, 1000000, 11011111111, 1000000000, 111011111111111, 1000000000000, 1111011111111111111, 1000000000000000, 11111011111111111111111, 1000000000000000000, 111111011111111111111111111, 1000000000000000000000, 1111111011111111111111111111111 (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 03 2016 and Apr 16 2019: (Start)

a(n) = 11001*a(n-2)-10011000*a(n-4)+10000000*a(n-6) for n>5.

G.f.: (1+11*x-10001*x^2+890100*x^3+10000*x^4-2000000*x^5) / ((1-x)*(1+x)*(1-100*x)*(1+100*x)*(1-1000*x^2)).

(End)

MATHEMATICA

rule=53; 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. A266669.

Sequence in context: A281628 A278955 A278753 * A272654 A004656 A143016

Adjacent sequences:  A266667 A266668 A266669 * A266671 A266672 A266673

KEYWORD

nonn,easy

AUTHOR

Robert Price, Jan 02 2016

STATUS

approved

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Last modified February 18 00:37 EST 2020. Contains 332006 sequences. (Running on oeis4.)