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A267800 Triangle read by rows giving successive states of cellular automaton generated by "Rule 213" initiated with a single ON (black) cell. 5
1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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.

LINKS

Robert Price, Table of n, a(n) for n = 0..10000

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

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

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

EXAMPLE

The first ten rows:

                  1

                0 1 1

              1 0 0 1 1

            1 1 1 0 0 1 1

          1 1 1 1 1 0 0 1 1

        1 1 1 1 1 1 1 0 0 1 1

      1 1 1 1 1 1 1 1 1 0 0 1 1

    1 1 1 1 1 1 1 1 1 1 1 0 0 1 1

  1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1

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

MATHEMATICA

rule=213; 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

Cf. A267801, A267802.

Cf. A267537 (central column), A267533 (row reversals).

Sequence in context: A307243 A120530 A078616 * A322980 A267053 A257477

Adjacent sequences:  A267797 A267798 A267799 * A267801 A267802 A267803

KEYWORD

nonn,tabf,easy

AUTHOR

Robert Price, Jan 20 2016

STATUS

approved

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Last modified August 16 01:49 EDT 2022. Contains 356150 sequences. (Running on oeis4.)