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 A071033 a(n) = n-th state of cellular automaton generated by "Rule 94" when started with a single ON cell. 3
 1, 111, 11011, 1110111, 110101011, 11101010111, 1101010101011, 111010101010111, 11010101010101011, 1110101010101010111, 110101010101010101011, 11101010101010101010111, 1101010101010101010101011, 111010101010101010101010111, 11010101010101010101010101011 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS a(n) has length 2n+1. LINKS Robert Price, Table of n, a(n) for n = 0..999 Eric Weisstein's World of Mathematics, Rule 94 Stephen Wolfram, A New Kind of Science, Wolfram Media, 2002; Chapter 3. Index entries for linear recurrences with constant coefficients, signature (0,10001,0,-10000). FORMULA Conjecture: a(n) = floor((1099*100^n + 9090)/990) + 1 for odd n > 1; a(n) = floor((1090*100^n + 10)/990) + 1 for even n > 1. - Karl V. Keller, Jr., Oct 25 2021 MATHEMATICA rule=94; 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 *) (* Robert Price, Feb 21 2016 *) CROSSREFS This sequence, A118101 and A118102 are equivalent descriptions of the Rule 94 automaton. Sequence in context: A266809 A152764 A249183 * A267364 A265379 A265688 Adjacent sequences: A071030 A071031 A071032 * A071034 A071035 A071036 KEYWORD nonn,easy AUTHOR Hans Havermann, May 26 2002 EXTENSIONS Corrected by Hans Havermann, Jan 07 2012 Edited by N. J. A. Sloane, Oct 20 2015 at the suggestion of Michael De Vlieger and Kevin Ryde More terms from Robert Price, Dec 06 2015 STATUS approved

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Last modified March 31 16:04 EDT 2023. Contains 361668 sequences. (Running on oeis4.)