A260552 Triangle read by rows giving successive states of cellular automaton generated by "Rule 17" initiated with a single ON (black) cell.

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

Offset

0

Comments

Row n has length 2n+1.

This sequence is also generated by Rule 49.

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

Mathematica

rule=17; 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. A260692, A266090, A263428 (rows reversed).

Sequence in context: A359156 A352569 A101266 * A373307 A244612 A262805

Adjacent sequences: A260549 A260550 A260551 * A260553 A260554 A260555

Keyword

nonn,tabf,easy

Author

Robert Price, Dec 27 2015

Status

approved