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A264442
Triangle read by rows giving successive states of cellular automaton generated by "Rule 169" initiated with a single ON (black) cell.
10
1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 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
0 0 0 0 1 1 1
0 0 1 1 0 1 1 1 1
0 0 0 1 0 1 1 1 1 1 1
0 0 1 0 0 1 1 1 1 1 1 1 1
0 0 0 0 0 0 1 1 1 1 1 1 1 1 1
0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1
0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1
MATHEMATICA
rule=169; 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: A239199 A265718 A267463 * A266243 A266608 A333818
KEYWORD
nonn,tabf,easy
AUTHOR
Robert Price, Jan 18 2016
STATUS
approved