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A267275 Binary representation of the n-th iteration of the "Rule 118" elementary cellular automaton starting with a single ON (black) cell. 1
1, 111, 10011, 1111011, 100011011, 11101011011, 1001111011011, 111100011011011, 10001101011011011, 1110101111011011011, 100111100011011011011, 11110001101011011011011, 1000110101111011011011011, 111010111100011011011011011, 10011110001101011011011011011 (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 +110*x +9900*x^2 +1100000*x^3 -1210000*x^4 -8900000*x^5 -1091000000*x^6) / ((1 -x)*(1 -10*x)*(1 -100*x)*(1 +100*x)*(1 +10*x +100*x^2)*(1 +10000*x^2)). - Colin Barker, Jan 14 2016 and Apr 19 2019

MATHEMATICA

rule=118; 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. A071034.

Sequence in context: A266381 A118109 A265280 * A135577 A153498 A118110

Adjacent sequences:  A267272 A267273 A267274 * A267276 A267277 A267278

KEYWORD

nonn

AUTHOR

Robert Price, Jan 12 2016

STATUS

approved

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Last modified August 18 10:34 EDT 2022. Contains 356212 sequences. (Running on oeis4.)