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 A267292 Triangle read by rows giving successive states of cellular automaton generated by "Rule 121" initiated with a single ON (black) cell. 3
 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1 (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 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 1 0             0 1 1 1 0 1 1           1 1 1 0 1 1 1 0 0         0 1 0 1 1 1 0 1 1 1 1       1 1 0 1 1 0 1 1 1 0 0 0 0     0 1 1 1 1 1 1 1 0 1 1 1 1 1 1   1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 MATHEMATICA rule=121; 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: A254113 A267037 A200246 * A267178 A285277 A116937 Adjacent sequences:  A267289 A267290 A267291 * A267293 A267294 A267295 KEYWORD nonn,tabf,easy AUTHOR Robert Price, Jan 12 2016 STATUS approved

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Last modified December 2 08:31 EST 2021. Contains 349437 sequences. (Running on oeis4.)