A267853 Triangle read by rows giving successive states of cellular automaton generated by "Rule 230" initiated with a single ON (black) cell.

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

Mathematica

rule=230; 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: A266789 A098370 A075439 * A104338 A214330 A335909

Adjacent sequences: A267850 A267851 A267852 * A267854 A267855 A267856

Keyword

nonn,tabf,easy

Author

Robert Price, Jan 21 2016

Status

approved