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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 (list; graph; refs; listen; history; text; internal format)
OFFSET
0
COMMENTS
Row n has length 2n+1.
REFERENCES
S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.
LINKS
Eric Weisstein's World of Mathematics, Elementary Cellular Automaton
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

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)