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 A232145 Number of n X 2 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally, diagonally or antidiagonally. 2
 3, 23, 145, 887, 5487, 33957, 210039, 1299219, 8036625, 49712291, 307505983, 1902144221, 11766121259, 72781867263, 450207854133, 2784857267659, 17226332081291, 106557172756085, 659132252427443, 4077203954957651 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 2 of A232149. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 5*a(n-1) + 6*a(n-2) + 8*a(n-3) + 3*a(n-4) - 8*a(n-5) - 5*a(n-6). Empirical g.f.: x*(3 + 8*x + 12*x^2 - 11*x^4 - 5*x^5) / (1 - 5*x - 6*x^2 - 8*x^3 - 3*x^4 + 8*x^5 + 5*x^6). - Colin Barker, Mar 19 2018 EXAMPLE Some solutions for n=6: ..2..2....1..2....1..2....0..1....2..1....1..2....1..2....0..2....1..0....0..1 ..0..2....2..0....2..1....2..2....2..1....2..2....0..1....2..1....1..2....2..1 ..2..1....0..1....0..1....2..2....1..0....2..1....2..2....0..1....0..2....2..1 ..0..0....1..0....1..2....1..1....1..2....1..2....1..0....2..1....2..1....0..0 ..1..2....2..2....1..2....2..1....2..1....2..2....2..1....2..1....2..1....1..2 ..1..2....1..2....1..2....0..2....2..1....2..1....0..2....1..2....0..2....2..0 CROSSREFS Cf. A232149. Sequence in context: A089950 A198797 A057835 * A079755 A197176 A264461 Adjacent sequences: A232142 A232143 A232144 * A232146 A232147 A232148 KEYWORD nonn AUTHOR R. H. Hardin, Nov 19 2013 STATUS approved

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Last modified September 21 02:47 EDT 2023. Contains 365486 sequences. (Running on oeis4.)