A266243 Triangle read by rows giving successive states of cellular automaton generated by "Rule 9" initiated with a single ON (black) cell.

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

Offset

0

Comments

Row n has length 2n+1.

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

Mathematica

rule=9; 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: A265718 A267463 A264442 * A266608 A333818 A111412

Adjacent sequences: A266240 A266241 A266242 * A266244 A266245 A266246

Keyword

nonn,tabf,easy

Author

Robert Price, Dec 25 2015

Status

approved