A267269 Triangle read by rows giving successive states of cellular automaton generated by "Rule 115" initiated with a single ON (black) cell.

1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 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, Wolfram Media, 2002; p. 55.

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

Example

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

Mathematica

rule=115; 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. A267270, A267271, A266716 (rows reversed).

Sequence in context: A143220 A189163 A189129 * A376583 A187972 A248396

Adjacent sequences: A267266 A267267 A267268 * A267270 A267271 A267272

Keyword

nonn,tabf,easy

Author

Robert Price, Jan 12 2016

Status

approved