A267922 Triangle read by rows giving successive states of cellular automaton generated by "Rule 245" initiated with a single ON (black) cell.

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

Mathematica

rule=245; 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

Cf. A267923, A267924, A266678 (central column), A265186 (rows reversed).

Sequence in context: A176702 A188038 A275694 * A267358 A368281 A153860

Adjacent sequences: A267919 A267920 A267921 * A267923 A267924 A267925

Keyword

nonn,tabf,easy

Author

Robert Price, Jan 22 2016

Status

approved