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 A183382 Half the number of n X 3 binary arrays with no element equal to a strict majority of its king-move neighbors. 1
 1, 5, 11, 29, 89, 245, 669, 1891, 5297, 14753, 41267, 115455, 322661, 902047, 2522301, 7051895, 19715891, 55124449, 154123101, 430912643, 1204794989, 3368504981, 9418046333, 26332052309, 73622187095, 205841375745, 575515014243 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Column 3 of A183386. LINKS R. H. Hardin, Table of n, a(n) for n = 1..200 FORMULA Empirical: a(n) = 4*a(n-1) - 4*a(n-2) + 6*a(n-3) - 13*a(n-4) + 3*a(n-5) - 2*a(n-6) + 6*a(n-7) + 4*a(n-8) + 5*a(n-9) - 4*a(n-10) - 2*a(n-11). Empirical g.f.: x*(1 + 2*x - 2*x^2)*(1 - x - x^2 - x^3 - x^5 + 3*x^6 + x^7 + x^8) / (1 - 4*x + 4*x^2 - 6*x^3 + 13*x^4 - 3*x^5 + 2*x^6 - 6*x^7 - 4*x^8 - 5*x^9 + 4*x^10 + 2*x^11). - Colin Barker, Mar 28 2018 EXAMPLE Some solutions for 5 X 3: ..0..0..1....0..1..0....0..0..1....0..1..0....0..1..1....0..1..0....0..1..0 ..1..1..0....1..0..1....1..1..0....0..1..0....1..0..0....1..0..1....0..1..1 ..0..1..0....0..1..0....0..0..1....1..1..0....0..1..1....1..0..1....1..0..0 ..0..1..0....1..1..0....1..1..0....0..0..1....1..0..0....0..1..0....0..1..1 ..0..1..0....0..0..1....0..0..1....1..1..0....0..1..1....0..1..0....1..0..0 CROSSREFS Cf. A183386. Sequence in context: A237642 A059508 A084817 * A100965 A001632 A234511 Adjacent sequences: A183379 A183380 A183381 * A183383 A183384 A183385 KEYWORD nonn AUTHOR R. H. Hardin, Jan 04 2011 STATUS approved

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Last modified December 2 16:47 EST 2023. Contains 367525 sequences. (Running on oeis4.)