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 A266216 Triangle read by rows giving successive states of cellular automaton generated by "Rule 7" initiated with a single ON (black) cell. 8
 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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. 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                 1 1 0               0 0 0 0 0             1 1 1 1 1 1 1           0 0 0 0 0 0 0 0 0         1 1 1 1 1 1 1 1 1 1 1       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 1 1   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 1 1 1 1 1 1 MATHEMATICA rule=7; 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: A014075 A204269 A179830 * A025446 A266300 A266605 Adjacent sequences:  A266213 A266214 A266215 * A266217 A266218 A266219 KEYWORD nonn,tabf,easy AUTHOR Robert Price, Dec 24 2015 STATUS approved

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Last modified January 17 03:59 EST 2019. Contains 319206 sequences. (Running on oeis4.)