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 A266606 Binary representation of the n-th iteration of the "Rule 39" elementary cellular automaton starting with a single ON (black) cell. 3
 1, 110, 10, 1111101, 100, 11111111011, 1000, 111111111110111, 10000, 1111111111111101111, 100000, 11111111111111111011111, 1000000, 111111111111111111110111111, 10000000, 1111111111111111111111101111111, 100000000, 11111111111111111111111111011111111 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Robert Price, Table of n, a(n) for n = 0..1000 Eric Weisstein's World of Mathematics, Elementary Cellular Automaton Stephen Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55. Index entries for sequences related to cellular automata Index to Elementary Cellular Automata Index entries for linear recurrences with constant coefficients, signature (0,10011,0,-110010,0,100000). FORMULA Conjectures from Colin Barker, Jan 02 2016 and Apr 18 2019: (Start) a(n) = 10011*a(n-2)-110010*a(n-4)+100000*a(n-6) for n>5. G.f.: (1+110*x-10001*x^2+9891*x^3+10000*x^4-20000*x^5) / ((1-x)*(1+x)*(1-100*x)*(1+100*x)*(1-10*x^2)). (End) MATHEMATICA rule=39; 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. A266605, A266607. Sequence in context: A278754 A266301 A163597 * A308003 A288057 A288128 Adjacent sequences: A266603 A266604 A266605 * A266607 A266608 A266609 KEYWORD nonn,easy AUTHOR Robert Price, Jan 01 2016 EXTENSIONS Removed an unjustified claim that Colin Barker's conjectures are correct. Removed a program based on a conjecture. - N. J. A. Sloane, Jun 13 2022 STATUS approved

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Last modified June 4 03:55 EDT 2023. Contains 363118 sequences. (Running on oeis4.)