A267533 Triangle read by rows giving successive states of cellular automaton generated by "Rule 143" initiated with a single ON (black) cell.

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

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. See page 55.

Wolfram Research, Wolfram Atlas of Simple Programs: Rule 143

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

Example

The first ten rows:
                  1
                1 1 0
              1 1 0 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

Mathematica

rule = 143; 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, rows}]; (* Truncated list of each row *) Flatten[catri] (* Triangle Representation of CA *)

Crossrefs

Cf. A267535, A267536.

Cf. A267537 (central column), A267800 (row reversals).

Sequence in context: A189222 A229062 A130304 * A118274 A275737 A080909

Adjacent sequences: A267530 A267531 A267532 * A267534 A267535 A267536

Keyword

nonn,tabf,easy

Author

Robert Price, Jan 16 2016

Status

approved