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 A229314 Number of n X 1 0..3 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1) X 2 0..3 array without adjacent equal elements in the latter. 1
 4, 14, 50, 176, 622, 2196, 7756, 27390, 96730, 341606, 1206400, 4260462, 15046040, 53135856, 187651986, 662702554, 2340367858, 8265128408, 29188722358, 103081461140, 364037435444, 1285616763070, 4540221143674, 16034022443998 (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) + 2*a(n-2) - a(n-3) + 2*a(n-4). Empirical g.f.: 2*x*(1 + x)*(2 - x + x^2) / (1 - 3*x - 2*x^2 + x^3 - 2*x^4). - Colin Barker, Sep 14 2018 EXAMPLE Some solutions for n=3: ..1....3....2....0....0....1....2....2....0....1....3....3....2....2....2....1 ..3....0....0....2....1....1....2....3....3....3....1....2....1....1....3....3 ..1....2....3....2....0....1....2....2....2....0....1....0....1....0....1....2 CROSSREFS Column 1 of A229320. Sequence in context: A352456 A034459 A120747 * A055099 A335921 A372874 Adjacent sequences: A229311 A229312 A229313 * A229315 A229316 A229317 KEYWORD nonn AUTHOR R. H. Hardin, Sep 19 2013 STATUS approved

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Last modified September 19 16:10 EDT 2024. Contains 376013 sequences. (Running on oeis4.)