A266441 Triangle read by rows giving successive states of cellular automaton generated by "Rule 25" initiated with a single ON (black) cell.

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

Mathematica

rule=25; 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. A266442, A266443, A266837 (rows reversed).

Sequence in context: A288375 A121559 A004641 * A266672 A266070 A262855

Adjacent sequences: A266438 A266439 A266440 * A266442 A266443 A266444

Keyword

nonn,tabf,easy

Author

Robert Price, Dec 29 2015

Status

approved