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A266253 Triangle read by rows giving successive states of cellular automaton generated by "Rule 11" initiated with a single ON (black) cell. 7
1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0

COMMENTS

Row n has length 2n+1.

This sequence is also generated by Rule 43.

REFERENCES

S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.

LINKS

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

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

The first ten rows:

                    1

                  1 0 0

                0 0 0 1 1

              1 1 1 1 1 0 0

            0 0 0 0 0 0 0 1 1

          1 1 1 1 1 1 1 1 1 0 0

        0 0 0 0 0 0 0 0 0 0 0 1 1

      1 1 1 1 1 1 1 1 1 1 1 1 1 0 0

    0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1

  1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0

MATHEMATICA

rule=11; 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 *) Flatten[catri] (* Triangle Representation of CA *)

CROSSREFS

Sequence in context: A015780 A011642 A016338 * A113052 A256432 A218171

Adjacent sequences:  A266250 A266251 A266252 * A266254 A266255 A266256

KEYWORD

nonn,tabf,easy

AUTHOR

Robert Price, Dec 25 2015

STATUS

approved

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Last modified April 7 15:56 EDT 2020. Contains 333306 sequences. (Running on oeis4.)