A118174 Binary representation of n-th iteration of the Rule 188 elementary cellular automaton starting with a single black cell.

1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0

Offset

0,1

Links

Robert Price, Table of n, a(n) for n = 0..9999

Eric Weisstein's World of Mathematics, Rule 188

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

Example

Triangle starts:
1;
0, 1, 1;
0, 0, 1, 0, 1;
0, 0, 0, 1, 1, 1, 1;
0, 0, 0, 0, 1, 1, 1, 0, 1;
...

Mathematica

lim = 10; a = {}; Do[AppendTo[a, Table[0, k - 1]~Join~Take[#[[k]], k]], {k, Length@ #}] &@ CellularAutomaton[188, {{1}, 0}, lim]; Flatten@ a (* Michael De Vlieger, Dec 09 2015 *)

Crossrefs

Cf. A118173, decimal representation.

Cf. A265428, total number of ON cells in n-th iteration.

Cf. A265429, total number of ON cells after n iterations.

Cf. A265430, total number of OFF cells in n-th iteration.

Cf. A265431, total number of OFF cells after n iterations.

Sequence in context: A167683 A266502 A075438 * A353815 A156258 A132138

Adjacent sequences: A118171 A118172 A118173 * A118175 A118176 A118177

Keyword

nonn,easy,tabf

Author

Eric W. Weisstein, Apr 13 2006

Status

approved