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A265718 Triangle read by rows giving successive states of cellular automaton generated by "Rule 1" initiated with a single ON (black) cell. 6
1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0

COMMENTS

Row n has length 2n+1.

This sequence is also generated by Rule 33.

REFERENCES

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

LINKS

Robert Price, Table of n, a(n) for n = 0..9999

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 0 0

              0 0 1 0 0

            1 1 0 0 0 1 1

          0 0 0 0 1 0 0 0 0

        1 1 1 1 0 0 0 1 1 1 1

      0 0 0 0 0 0 1 0 0 0 0 0 0

    1 1 1 1 1 1 0 0 0 1 1 1 1 1 1

  0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0

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

MATHEMATICA

rule = 1; rows = 20; Flatten[Table[Take[CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}][[k]], {rows - k + 1, rows + k - 1}], {k, 1, rows}]]

CROSSREFS

Sequence in context: A162289 A122276 A239199 * A267463 A264442 A266243

Adjacent sequences:  A265715 A265716 A265717 * A265719 A265720 A265721

KEYWORD

nonn,tabf,easy

AUTHOR

Robert Price, Dec 14 2015

STATUS

approved

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Last modified July 21 03:22 EDT 2019. Contains 325189 sequences. (Running on oeis4.)