A266892 Triangle read by rows giving successive states of cellular automaton generated by "Rule 75" initiated with a single ON (black) cell.

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

Mathematica

rule=75; 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: A266837 A321081 A267126 * A267152 A151667 A241759

Adjacent sequences: A266889 A266890 A266891 * A266893 A266894 A266895

Keyword

nonn,tabf,easy

Author

Robert Price, Jan 05 2016

Status

approved