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 A266843 Triangle read by rows giving successive states of cellular automaton generated by "Rule 70" initiated with a single ON (black) cell. 5
 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0 COMMENTS Row n has length 2n+1. This sequence is also generated by Rule 198. 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 Index entries for sequences related to cellular automata Index to Elementary Cellular Automata EXAMPLE The first ten rows: 1 1 1 0 1 0 1 0 0 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 1 0 1 0 1 0 0 0 0 0 0 1 1 0 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 MATHEMATICA rule=70; 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: A240025 A100923 A050073 * A373486 A353491 A120474 Adjacent sequences: A266840 A266841 A266842 * A266844 A266845 A266846 KEYWORD nonn,tabf,easy AUTHOR Robert Price, Jan 04 2016 STATUS approved

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Last modified September 15 20:25 EDT 2024. Contains 375955 sequences. (Running on oeis4.)