A266174 Triangle read by rows giving successive states of cellular automaton generated by "Rule 5" initiated with a single ON (black) cell.

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

Mathematica

rule = 5; rows = 20; Flatten[Table[Take[CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}][[k]], {rows - k + 1, rows + k - 1}], {k, 1, rows}]]

Crossrefs

Sequence in context: A341040 A257585 A285034 * A088917 A014933 A011643

Adjacent sequences: A266171 A266172 A266173 * A266175 A266176 A266177

Keyword

nonn,tabf,easy

Author

Robert Price, Dec 22 2015

Status

approved