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 A267417 Triangle read by rows giving successive states of cellular automaton generated by "Rule 129" initiated with a single ON (black) cell. 10
 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 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 161. 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 0               0 0 1 0 0             0 0 0 0 0 0 0           0 0 1 1 1 1 1 0 0         0 0 0 0 1 1 1 0 0 0 0       0 0 1 1 0 0 1 0 0 1 1 0 0     0 0 0 0 0 0 0 0 0 0 0 0 0 0 0   0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 MATHEMATICA rule=129; 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: A015269 A016347 A015989 * A014189 A319691 A079979 Adjacent sequences:  A267414 A267415 A267416 * A267418 A267419 A267420 KEYWORD nonn,tabf,easy AUTHOR Robert Price, Jan 14 2016 STATUS approved

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Last modified March 25 01:17 EDT 2019. Contains 321450 sequences. (Running on oeis4.)