A267704 Triangle read by rows giving successive states of cellular automaton generated by "Rule 205" initiated with a single ON (black) cell.

1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 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..10000

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

Mathematica

rule=205; 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: A260390 A179758 A287795 * A174888 A162549 A191188

Adjacent sequences: A267701 A267702 A267703 * A267705 A267706 A267707

Keyword

nonn,tabf,easy

Author

Robert Price, Jan 19 2016

Status

approved