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A266669 Triangle read by rows giving successive states of cellular automaton generated by "Rule 53" initiated with a single ON (black) cell. 3
1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 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 (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 1 1

              0 1 0 0 0

            1 0 1 1 1 1 1

          0 0 1 0 0 0 0 0 0

        1 1 0 1 1 1 1 1 1 1 1

      0 0 0 1 0 0 0 0 0 0 0 0 0

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

MATHEMATICA

rule=53; 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: A128937 A288004 A102511 * A129360 A129372 A169591

Adjacent sequences:  A266666 A266667 A266668 * A266670 A266671 A266672

KEYWORD

nonn,tabf,easy

AUTHOR

Robert Price, Jan 02 2016

STATUS

approved

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Last modified March 31 16:44 EDT 2020. Contains 333151 sequences. (Running on oeis4.)