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 A267776 Triangle read by rows giving successive states of cellular automaton generated by "Rule 209" initiated with a single ON (black) cell. 2
 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0 COMMENTS Row n has length 2n+1. This sequence is also generated by Rule 241. REFERENCES S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55. LINKS 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 EXAMPLE The first ten rows:                   1                 0 0 1               1 1 0 0 1             1 1 1 1 0 0 1           1 1 1 1 1 1 0 0 1         1 1 1 1 1 1 1 1 0 0 1       1 1 1 1 1 1 1 1 1 1 0 0 1     1 1 1 1 1 1 1 1 1 1 1 1 0 0 1   1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 MATHEMATICA rule=209; 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: A004609 A287674 A071001 * A072792 A254113 A267037 Adjacent sequences:  A267773 A267774 A267775 * A267777 A267778 A267779 KEYWORD nonn,tabf,easy AUTHOR Robert Price, Jan 20 2016 STATUS approved

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Last modified November 24 07:53 EST 2020. Contains 338607 sequences. (Running on oeis4.)