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A263919 Triangle read by rows giving successive states of cellular automaton generated by "Rule 163" initiated with a single ON (black) cell. 3
1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 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

                1 0 0

              1 0 0 1 0

            1 0 0 1 0 1 0

          1 0 0 1 0 1 0 1 0

        1 0 0 1 0 1 0 1 0 1 0

      1 0 0 1 0 1 0 1 0 1 0 1 0

    1 0 0 1 0 1 0 1 0 1 0 1 0 1 0

  1 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0

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

MATHEMATICA

rule=163; 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: A077606 A004601 A267418 * A267520 A114915 A074711

Adjacent sequences:  A263916 A263917 A263918 * A263920 A263921 A263922

KEYWORD

nonn,tabf,easy

AUTHOR

Robert Price, Jan 17 2016

STATUS

approved

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Last modified November 15 13:56 EST 2019. Contains 329149 sequences. (Running on oeis4.)