A267612 Triangle read by rows giving successive states of cellular automaton generated by "Rule 185" initiated with a single ON (black) cell.

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

Mathematica

rule=185; 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: A262855 A353380 A204171 * A242252 A100810 A373481

Adjacent sequences: A267609 A267610 A267611 * A267613 A267614 A267615

Keyword

nonn,tabf,easy

Author

Robert Price, Jan 18 2016

Status

approved