

A266843


Triangle read by rows giving successive states of cellular automaton generated by "Rule 70" initiated with a single ON (black) cell.


5



1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0
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OFFSET

0


COMMENTS

Row n has length 2n+1.
This sequence is also generated by Rule 198.


REFERENCES

S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.


LINKS



EXAMPLE

The first ten rows:
1
1 1 0
1 0 1 0 0
1 1 0 1 0 0 0
1 0 1 0 1 0 0 0 0
1 1 0 1 0 1 0 0 0 0 0
1 0 1 0 1 0 1 0 0 0 0 0 0
1 1 0 1 0 1 0 1 0 0 0 0 0 0 0
1 0 1 0 1 0 1 0 1 0 0 0 0 0 0 0 0
1 1 0 1 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0


MATHEMATICA

rule=70; rows=20; ca=CellularAutomaton[rule, {{1}, 0}, rows1, {All, All}]; (* Start with single black cell *) catri=Table[Take[ca[[k]], {rowsk+1, rows+k1}], {k, 1, rows}]; (* Truncated list of each row *) Flatten[catri] (* Triangle Representation of CA *)


CROSSREFS



KEYWORD

nonn,tabf,easy


AUTHOR



STATUS

approved



