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A267349
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Triangle read by rows giving successive states of cellular automaton generated by "Rule 123" initiated with a single ON (black) cell.
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6
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1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 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, 0, 0, 1, 1, 1, 1, 1
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OFFSET
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0
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COMMENTS
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Row n has length 2n+1.
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REFERENCES
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S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.
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LINKS
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Robert Price, Table of n, a(n) for n = 0..10000
Eric Weisstein's World of Mathematics, Elementary Cellular Automaton
S. Wolfram, A New Kind of Science
Index entries for sequences related to cellular automata
Index to Elementary Cellular Automata
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EXAMPLE
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The first ten rows:
1
1 0 1
0 1 1 1 0
1 1 1 0 1 1 1
0 0 0 1 1 1 0 0 0
1 1 1 1 1 0 1 1 1 1 1
0 0 0 0 0 1 1 1 0 0 0 0 0
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 0 0
1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1
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MATHEMATICA
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rule=123; 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 *)
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CROSSREFS
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Sequence in context: A153778 A065251 A039982 * A254651 A267579 A285414
Adjacent sequences: A267346 A267347 A267348 * A267350 A267351 A267352
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KEYWORD
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nonn,tabf,easy
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AUTHOR
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Robert Price, Jan 13 2016
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STATUS
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approved
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