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 A265718 Triangle read by rows giving successive states of cellular automaton generated by "Rule 1" initiated with a single ON (black) cell. 6
 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 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 33. REFERENCES S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55. LINKS Robert Price, Table of n, a(n) for n = 0..9999 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             1 1 0 0 0 1 1           0 0 0 0 1 0 0 0 0         1 1 1 1 0 0 0 1 1 1 1       0 0 0 0 0 0 1 0 0 0 0 0 0     1 1 1 1 1 1 0 0 0 1 1 1 1 1 1   0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 MATHEMATICA rule = 1; rows = 20; Flatten[Table[Take[CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}][[k]], {rows - k + 1, rows + k - 1}], {k, 1, rows}]] CROSSREFS Sequence in context: A162289 A122276 A239199 * A267463 A264442 A266243 Adjacent sequences:  A265715 A265716 A265717 * A265719 A265720 A265721 KEYWORD nonn,tabf,easy AUTHOR Robert Price, Dec 14 2015 STATUS approved

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Last modified July 29 06:21 EDT 2021. Contains 346340 sequences. (Running on oeis4.)