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A266619
Triangle read by rows giving successive states of cellular automaton generated by "Rule 45" initiated with a single ON (black) cell.
10
1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0
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 1 0
0 1 1 1 1
1 0 1 0 0 0 0
0 0 1 1 0 1 1 0 1
1 1 0 1 0 1 1 0 1 1 0
0 0 0 1 1 1 1 0 1 1 0 1 1
1 1 1 0 1 0 0 0 1 1 0 1 1 0 0
0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1
1 1 1 1 0 1 0 1 1 1 1 1 1 0 0 1 0 1 0
MATHEMATICA
rule=45; 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: A129407 A267594 A273512 * A267587 A014165 A014141
KEYWORD
nonn,tabf,easy
AUTHOR
Robert Price, Jan 01 2016
STATUS
approved