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A267145 Triangle read by rows giving successive states of cellular automaton generated by "Rule 105" initiated with a single ON (black) cell. 7
1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 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..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 0

              1 0 1 0 1

            0 0 1 0 1 0 0

          1 0 0 0 1 0 0 0 1

        0 0 0 1 0 0 0 1 0 0 0

      1 0 1 0 0 0 1 0 0 0 1 0 1

    0 0 1 0 0 1 0 0 0 1 0 0 1 0 0

  1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1

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

MATHEMATICA

rule=105; 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: A267636 A267841 A262448 * A285301 A267043 A266444

Adjacent sequences:  A267142 A267143 A267144 * A267146 A267147 A267148

KEYWORD

nonn,tabf,easy

AUTHOR

Robert Price, Jan 11 2016

STATUS

approved

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Last modified February 23 15:23 EST 2018. Contains 299581 sequences. (Running on oeis4.)