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 A267523 Binary representation of the n-th iteration of the "Rule 139" elementary cellular automaton starting with a single ON (black) cell. 1
 1, 100, 10011, 1001111, 100111111, 10011111111, 1001111111111, 100111111111111, 10011111111111111, 1001111111111111111, 100111111111111111111, 10011111111111111111111, 1001111111111111111111111, 100111111111111111111111111, 10011111111111111111111111111 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55. LINKS Robert Price, Table of n, a(n) for n = 0..1000 Eric Weisstein's World of Mathematics, Elementary Cellular Automaton S. Wolfram, A New Kind of Science FORMULA Conjectures from Colin Barker, Jan 16 2016: (Start) a(n) = 101*a(n-1)-100*a(n-2) for n>2. G.f.: (1-x+11*x^2) / ((1-x)*(1-100*x)). (End) MATHEMATICA rule=139; 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 *) Table[FromDigits[catri[[k]]], {k, 1, rows}] (* Binary Representation of Rows *) CROSSREFS Cf. A267520. Sequence in context: A096885 A267449 A266752 * A027576 A099374 A233627 Adjacent sequences:  A267520 A267521 A267522 * A267524 A267525 A267526 KEYWORD nonn,changed AUTHOR Robert Price, Jan 16 2016 STATUS approved

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Last modified April 19 06:30 EDT 2019. Contains 322237 sequences. (Running on oeis4.)