A266716 Triangle read by rows giving successive states of cellular automaton generated by "Rule 59" initiated with a single ON (black) cell.

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

Mathematica

rule=59; 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. A266717, A266718, A266719 (middle column), A267269 (rows reversed).

Cf. A266722, A266723, A266724, A266725.

Sequence in context: A164057 A140820 A275661 * A190242 A167501 A285533

Adjacent sequences: A266713 A266714 A266715 * A266717 A266718 A266719

Keyword

nonn,tabf,easy

Author

Robert Price, Jan 03 2016

Status

approved