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A267533 Triangle read by rows giving successive states of cellular automaton generated by "Rule 143" initiated with a single ON (black) cell. 7
1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 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, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
0
COMMENTS
Row n has length 2n + 1.
LINKS
Eric Weisstein's World of Mathematics, Elementary Cellular Automaton
Stephen Wolfram, A New Kind of Science. See page 55.
EXAMPLE
The first ten rows:
1
1 1 0
1 1 0 0 1
1 1 0 0 1 1 1
1 1 0 0 1 1 1 1 1
1 1 0 0 1 1 1 1 1 1 1
1 1 0 0 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 0 0 1 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
MATHEMATICA
rule = 143; 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, rows}]; (* Truncated list of each row *) Flatten[catri] (* Triangle Representation of CA *)
CROSSREFS
Cf. A267537 (central column), A267800 (row reversals).
Sequence in context: A189222 A229062 A130304 * A118274 A275737 A080909
KEYWORD
nonn,tabf,easy
AUTHOR
Robert Price, Jan 16 2016
STATUS
approved

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Last modified June 19 18:58 EDT 2024. Contains 373507 sequences. (Running on oeis4.)