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 A266301 Binary representation of the n-th iteration of the "Rule 15" elementary cellular automaton starting with a single ON (black) cell. 1
 1, 110, 1, 1111110, 1, 11111111110, 1, 111111111111110, 1, 1111111111111111110, 1, 11111111111111111111110, 1, 111111111111111111111111110, 1, 1111111111111111111111111111110, 1, 11111111111111111111111111111111110, 1, 111111111111111111111111111111111111110 (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..999 Eric Weisstein's World of Mathematics, Elementary Cellular Automaton S. Wolfram, A New Kind of Science FORMULA Conjectures from Colin Barker, Dec 28 2015 and Apr 15 2019: (Start) a(n) = (19*(-1)^n+10^(2*n+1)-(-1)^n*10^(2*n+1)-1)/18. a(n) = 10001*a(n-2) - 10000*a(n-4) for n>3. G.f.: (1+110*x-10000*x^2+11000*x^3) / ((1-x)*(1+x)*(1-100*x)*(1+100*x)). (End) MATHEMATICA rule=15; 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. A266300. Sequence in context: A278956 A281629 A278754 * A163597 A266606 A308003 Adjacent sequences:  A266298 A266299 A266300 * A266302 A266303 A266304 KEYWORD nonn,easy AUTHOR Robert Price, Dec 26 2015 STATUS approved

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Last modified August 15 12:50 EDT 2020. Contains 336501 sequences. (Running on oeis4.)