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A267127 Binary representation of the n-th iteration of the "Rule 99" elementary cellular automaton starting with a single ON (black) cell. 1
1, 100, 1010, 1101001, 1100100, 11101010011, 1101001000, 111101100100111, 1101010010000, 1111101101001001111, 1101100100100000, 11111101101010010011111, 1101101001001000000, 111111101101100100100111111, 1101101010010010000000, 1111111101101101001001001111111 (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

Empirical g.f.: (1 +100*x -10001*x^2 -1099*x^3 -10000*x^5 -899991000*x^6 +10000000*x^7 +10911000000*x^8 -20000000000*x^10) / ((1 -x)*(1 +x)*(1 -10*x)*(1 -100*x)*(1 +100*x)*(1 -10*x^2)*(1 +10*x +100*x^2)*(1 -1000*x^2)). - Colin Barker, Jan 11 2016 and Apr 19 2019

MATHEMATICA

rule=99; 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. A267126.

Sequence in context: A136387 A001737 A266838 * A266893 A267153 A025421

Adjacent sequences:  A267124 A267125 A267126 * A267128 A267129 A267130

KEYWORD

nonn,easy

AUTHOR

Robert Price, Jan 10 2016

STATUS

approved

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Last modified June 6 18:59 EDT 2020. Contains 334832 sequences. (Running on oeis4.)