A265718 Triangle read by rows giving successive states of cellular automaton generated by "Rule 1" initiated with a single ON (black) cell.

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

This sequence is also generated by Rule 33.

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

Mathematica

rule = 1; 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: A122276 A352679 A239199 * A267463 A264442 A266243

Adjacent sequences: A265715 A265716 A265717 * A265719 A265720 A265721

Keyword

nonn,tabf,easy

Author

Robert Price, Dec 14 2015

Status

approved