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A267152
Triangle read by rows giving successive states of cellular automaton generated by "Rule 107" initiated with a single ON (black) cell.
10
1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 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
1 0 0
0 1 0 1 1
1 1 0 1 1 1 0
0 0 1 1 1 0 1 1 1
1 1 1 1 0 1 1 1 0 1 0
0 0 0 0 1 1 1 0 1 1 0 1 1
1 1 1 1 1 1 0 1 1 1 1 1 1 1 0
0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1
1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0
MATHEMATICA
rule=107; 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: A267126 A373991 A266892 * A151667 A241759 A298249
KEYWORD
nonn,tabf,easy
AUTHOR
Robert Price, Jan 11 2016
STATUS
approved