A265715 Binary representation of the n-th iteration of the "Rule 149" elementary cellular automaton starting with a single ON (black) cell.

1, 11, 11, 110011, 10011, 1110110011, 1000010011, 11011110110011, 11000010011, 111110001110110011, 111011001000010011, 1100100001011110110011, 101111010011000010011, 11101001100110001110110011, 10011000100011001000010011, 110110001101110001011110110011

Offset

0,2

References

S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.

Links

Robert Price, Table of n, a(n) for n = 0..999

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

From Michael De Vlieger, Dec 14 2015: (Start)
First 10 rows, replacing leading zeros with ".", the row converted to its binary equivalent at right:
                  1                    ->                  1
                . 1 1                  ->                 11
              . . . 1 1                ->                 11
            . 1 1 0 0 1 1              ->             110011
          . . . . 1 0 0 1 1            ->              10011
        . 1 1 1 0 1 1 0 0 1 1          ->         1110110011
      . . . 1 0 0 0 0 1 0 0 1 1        ->         1000010011
    . 1 1 0 1 1 1 1 0 1 1 0 0 1 1      ->     11011110110011
  . . . . . . 1 1 0 0 0 0 1 0 0 1 1    ->        11000010011
. 1 1 1 1 1 0 0 0 1 1 1 0 1 1 0 0 1 1  -> 111110001110110011
(End)

Mathematica

rule = 149; rows = 20; Table[FromDigits[Table[Take[CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}][[k]], {rows-k+1, rows+k-1}], {k, 1, rows}][[k]]], {k, 1, rows}]

Crossrefs

Cf. A265246.

Sequence in context: A281419 A280838 A140105 * A366416 A178496 A186433

Adjacent sequences: A265712 A265713 A265714 * A265716 A265717 A265718

Keyword

nonn,easy

Author

Robert Price, Dec 14 2015

Status

approved