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 A244694 Number of length n+4 0..2 arrays with no five consecutive elements with pattern ababa or abbba (with a!=b) and new values 0..2 introduced in 0..2 order. 1
 39, 111, 317, 908, 2602, 7459, 21383, 61302, 175745, 503841, 1444456, 4141097, 11872072, 34035934, 97577307, 279743489, 801994051, 2299229415, 6591639797, 18897511895, 54177104154, 155319844796, 445285043640, 1276583622333 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 3*a(n-1) - a(n-3) - a(n-5) + a(n-6) - a(n-7). Empirical g.f.: x*(39 - 6*x - 16*x^2 - 4*x^3 - 11*x^4 + 9*x^5 - 14*x^6) / ((1 - x)*(1 + x)*(1 - 3*x + x^2 - 2*x^3 + x^4 - x^5)). - Colin Barker, Nov 03 2018 EXAMPLE Some solutions for n=6: ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0 ..1....1....1....1....1....0....1....1....0....1....0....0....1....0....1....1 ..2....0....0....0....1....1....1....2....0....0....0....1....1....1....0....1 ..0....2....0....2....0....1....0....2....1....2....1....1....1....1....0....2 ..0....1....2....0....1....0....0....2....0....1....0....2....2....1....2....0 ..2....2....2....0....2....1....1....0....2....1....0....1....1....2....1....2 ..2....2....0....0....1....2....2....0....1....0....1....0....1....2....0....1 ..1....2....2....1....2....2....0....0....1....0....2....2....0....1....2....1 ..0....0....2....1....2....1....0....0....1....2....2....0....2....1....2....0 ..1....1....2....2....1....1....2....2....0....0....0....1....0....2....1....2 CROSSREFS Column 2 of A244702. Sequence in context: A276401 A044226 A044607 * A008878 A249301 A239562 Adjacent sequences: A244691 A244692 A244693 * A244695 A244696 A244697 KEYWORD nonn AUTHOR R. H. Hardin, Jul 04 2014 STATUS approved

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Last modified January 30 02:40 EST 2023. Contains 359939 sequences. (Running on oeis4.)