A266502 Triangle read by rows giving successive states of cellular automaton generated by "Rule 28" initiated with a single ON (black) cell.

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

Offset

0

Comments

Row n has length 2n+1.

This sequence is also generated by Rule 156.

Links

Robert Price, Table of n, a(n) for n = 0..10200

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.

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

Mathematica

rule=28; 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. A266508, A283642, A266843 (rows reversed), A070909 (right half).

Sequence in context: A082960 A320815 A167683 * A075438 A118174 A353815

Adjacent sequences: A266499 A266500 A266501 * A266503 A266504 A266505

Keyword

nonn,tabf,easy

Author

Robert Price, Dec 30 2015

Status

approved