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 A266669 Triangle read by rows giving successive states of cellular automaton generated by "Rule 53" initiated with a single ON (black) cell. 3
 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 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 1 1               0 1 0 0 0             1 0 1 1 1 1 1           0 0 1 0 0 0 0 0 0         1 1 0 1 1 1 1 1 1 1 1       0 0 0 1 0 0 0 0 0 0 0 0 0     1 1 1 0 1 1 1 1 1 1 1 1 1 1 1   0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 MATHEMATICA rule=53; 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: A128937 A288004 A102511 * A129360 A129372 A169591 Adjacent sequences:  A266666 A266667 A266668 * A266670 A266671 A266672 KEYWORD nonn,tabf,easy AUTHOR Robert Price, Jan 02 2016 STATUS approved

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Last modified March 31 16:44 EDT 2020. Contains 333151 sequences. (Running on oeis4.)