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A267129 Triangle read by rows giving successive states of cellular automaton generated by "Rule 101" initiated with a single ON (black) cell. 3
1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 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 0

              1 1 1 1 0

            0 0 0 0 1 0 1

          1 0 1 1 0 1 1 0 0

        0 1 1 0 1 1 0 1 0 1 1

      1 1 0 1 1 0 1 1 1 1 0 0 0

    0 0 1 1 0 1 1 0 0 0 1 0 1 1 1

  1 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0

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

MATHEMATICA

rule=101; 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: A054354 A156728 A267442 * A317906 A267848 A267179

Adjacent sequences:  A267126 A267127 A267128 * A267130 A267131 A267132

KEYWORD

nonn,tabf,easy

AUTHOR

Robert Price, Jan 10 2016

STATUS

approved

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Last modified July 14 18:26 EDT 2020. Contains 335729 sequences. (Running on oeis4.)