A264442 Triangle read by rows giving successive states of cellular automaton generated by "Rule 169" initiated with a single ON (black) cell.

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

Mathematica

rule=169; 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: A239199 A265718 A267463 * A266243 A266608 A066288

Adjacent sequences: A264439 A264440 A264441 * A264443 A264444 A264445

Keyword

nonn,tabf,easy

Author

Robert Price, Jan 18 2016

Status

approved