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A266282 Triangle read by rows giving successive states of cellular automaton generated by "Rule 13" initiated with a single ON (black) cell. 6
1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1 (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..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 1 0

              0 0 1 0 1

            1 1 0 1 0 1 0

          0 0 0 0 1 0 1 0 1

        1 1 1 1 0 1 0 1 0 1 0

      0 0 0 0 0 0 1 0 1 0 1 0 1

    1 1 1 1 1 1 0 1 0 1 0 1 0 1 0

  0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1

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

MATHEMATICA

rule=13; 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: A014789 A014669 A185276 * A228747 A285162 A074381

Adjacent sequences:  A266279 A266280 A266281 * A266283 A266284 A266285

KEYWORD

nonn,tabf,easy

AUTHOR

Robert Price, Dec 26 2015

STATUS

approved

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Last modified January 20 23:24 EST 2020. Contains 331104 sequences. (Running on oeis4.)