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A260692 Binary representation of the n-th iteration of the "Rule 17" elementary cellular automaton starting with a single ON (black) cell. 1
1, 1, 1000, 1001111, 1000000, 11001111111, 1000000000, 111001111111111, 1000000000000, 1111001111111111111, 1000000000000000, 11111001111111111111111, 1000000000000000000, 111111001111111111111111111, 1000000000000000000000, 1111111001111111111111111111111 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Rule 49 also generates this sequence.

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, Dec 29 2015 and Apr 15 2019: (Start)

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

G.f.: (1+x-10001*x^2+990110*x^3+10000*x^4-2100000*x^5) / ((1-x)*(1+x)*(1-100*x)*(1+100*x)*(1-1000*x^2)). - Colin Barker, Dec 29 2015

(End)

MATHEMATICA

rule=17; 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. A260552.

Sequence in context: A029802 A060365 A060366 * A234605 A013793 A013856

Adjacent sequences:  A260689 A260690 A260691 * A260693 A260694 A260695

KEYWORD

nonn,easy

AUTHOR

Robert Price, Dec 27 2015

STATUS

approved

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Last modified May 11 15:11 EDT 2021. Contains 343791 sequences. (Running on oeis4.)