A267050 Triangle read by rows giving successive states of cellular automaton generated by "Rule 92" initiated with a single ON (black) cell.

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

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
              0 0 1 1 1
            0 0 0 1 0 1 1
          0 0 0 0 1 0 1 1 1
        0 0 0 0 0 1 0 1 0 1 1
      0 0 0 0 0 0 1 0 1 0 1 1 1
    0 0 0 0 0 0 0 1 0 1 0 1 0 1 1
  0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 1
0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1 1

Mathematica

rule=92; 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: A369989 A284656 A168002 * A267355 A070829 A118175

Adjacent sequences: A267047 A267048 A267049 * A267051 A267052 A267053

Keyword

nonn,tabf,easy

Author

Robert Price, Jan 09 2016

Status

approved