A262808 Triangle read by rows giving successive states of cellular automaton generated by "Rule 147" initiated with a single ON (black) cell.

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

Offset

0

Comments

Row n has length 2n+1.

Links

Robert Price, Table of n, a(n) for n = 0..10000

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

Stephen 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
                1 0 1
              1 0 0 0 1
            1 0 1 1 1 0 1
          1 0 0 0 1 0 0 0 1
        1 0 1 1 1 0 1 1 1 0 1
      1 0 0 0 1 0 0 0 1 0 0 0 1
    1 0 1 1 1 0 1 1 1 0 1 1 1 0 1
  1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1
1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1

Mathematica

rule=147; 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. A262861, A262862.

Sequence in context: A145099 A205083 A070886 * A217206 A189097 A189094

Adjacent sequences: A262805 A262806 A262807 * A262809 A262810 A262811

Keyword

nonn,tabf,easy

Author

Robert Price, Jan 17 2016

Status

approved