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A266672 Triangle read by rows giving successive states of cellular automaton generated by "Rule 57" initiated with a single ON (black) cell. 3
1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0

COMMENTS

Row n has length 2n+1.

REFERENCES

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

LINKS

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

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 1

              0 1 0 1 0

            1 0 0 1 0 1 1

          0 0 1 0 0 1 1 0 0

        1 1 0 0 1 0 1 0 1 1 1

      0 0 0 1 0 0 1 0 1 1 0 0 0

    1 1 1 0 0 1 0 0 1 1 0 1 1 1 1

  0 0 0 0 1 0 0 1 0 1 0 1 1 0 0 0 0

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

MATHEMATICA

rule=57; 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

Sequence in context: A121559 A004641 A266441 * A266070 A262855 A204171

Adjacent sequences:  A266669 A266670 A266671 * A266673 A266674 A266675

KEYWORD

nonn,tabf,easy

AUTHOR

Robert Price, Jan 02 2016

STATUS

approved

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Last modified January 24 13:24 EST 2020. Contains 331193 sequences. (Running on oeis4.)