A266840 Triangle read by rows giving successive states of cellular automaton generated by "Rule 69" initiated with a single ON (black) cell.

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

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

Mathematica

rule=69; 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. A266841, A266842, A266282 (rows reversed).

Sequence in context: A091069 A318608 A087003 * A104606 A189169 A267676

Adjacent sequences: A266837 A266838 A266839 * A266841 A266842 A266843

Keyword

nonn,tabf,easy

Author

Robert Price, Jan 04 2016

Status

approved