

A118174


Binary representation of nth iteration of the Rule 188 elementary cellular automaton starting with a single black cell.


7



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
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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 nth iteration.
Cf. A265429, total number of ON cells after n iterations.
Cf. A265430, total number of OFF cells in nth 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



