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A263243 Triangle read by rows giving successive states of cellular automaton generated by "Rule 155" initiated with a single ON (black) cell. 4
1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 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..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 1

              1 0 0 1 1

            1 0 1 1 1 1 1

          1 0 0 1 1 1 1 1 1

        1 0 1 1 1 1 1 1 1 1 1

      1 0 0 1 1 1 1 1 1 1 1 1 1

    1 0 1 1 1 1 1 1 1 1 1 1 1 1 1

  1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1

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

MATHEMATICA

rule=155; 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: A229062 A014577 A157926 * A131377 A342991 A077049

Adjacent sequences:  A263240 A263241 A263242 * A263244 A263245 A263246

KEYWORD

nonn,tabf,easy

AUTHOR

Robert Price, Jan 17 2016

STATUS

approved

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Last modified September 20 02:19 EDT 2021. Contains 347577 sequences. (Running on oeis4.)