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A266243
Triangle read by rows giving successive states of cellular automaton generated by "Rule 9" initiated with a single ON (black) cell.
10
1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1
OFFSET
0
COMMENTS
Row n has length 2n+1.
REFERENCES
S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.
EXAMPLE
The first ten rows:
1
0 0 0
0 0 1 0 1
1 1 0 0 0 0 0
0 0 0 0 1 1 1 0 1
1 1 1 1 0 1 0 0 0 0 0
0 0 0 0 0 0 0 0 1 1 1 0 1
1 1 1 1 1 1 1 1 0 1 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1
1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0
MATHEMATICA
rule=9; 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: A265718 A267463 A264442 * A266608 A333818 A111412
KEYWORD
nonn,tabf,easy
AUTHOR
Robert Price, Dec 25 2015
STATUS
approved