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 A265427 Binary representation of the n-th iteration of the "Rule 188" elementary cellular automaton starting with a single ON (black) cell. 1
 1, 11, 101, 1111, 11101, 110111, 1011101, 11110111, 111011101, 1101110111, 10111011101, 111101110111, 1110111011101, 11011101110111, 101110111011101, 1111011101110111, 11101110111011101, 110111011101110111, 1011101110111011101, 11110111011101110111 (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 FORMULA Conjectures from Colin Barker, Dec 09 2015 and Apr 18 2019: (Start) a(n) = a(n-2) + 10000*a(n-4) - 10000*a(n-6) for n>5. G.f.: (1+11*x+100*x^2+1100*x^3+1000*x^4-1000*x^5) / ((1-x)*(1+x)*(1-10*x)*(1+10*x)*(1+100*x^2)). (End) EXAMPLE From Michael De Vlieger, Dec 09 2015: (Start) First 12 rows: 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 (End) MATHEMATICA rule = 188; rows = 20; Table[FromDigits[Table[Take[CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}][[k]], {rows-k+1, rows+k-1}], {k, 1, rows}][[k]]], {k, 1, rows}] CROSSREFS Cf. A118174. Sequence in context: A290228 A284029 A284408 * A284480 A290660 A292688 Adjacent sequences:  A265424 A265425 A265426 * A265428 A265429 A265430 KEYWORD nonn,easy AUTHOR Robert Price, Dec 08 2015 STATUS approved

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Last modified August 9 01:10 EDT 2020. Contains 336309 sequences. (Running on oeis4.)