A267275 Binary representation of the n-th iteration of the "Rule 118" elementary cellular automaton starting with a single ON (black) cell.

1, 111, 10011, 1111011, 100011011, 11101011011, 1001111011011, 111100011011011, 10001101011011011, 1110101111011011011, 100111100011011011011, 11110001101011011011011, 1000110101111011011011011, 111010111100011011011011011, 10011110001101011011011011011

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