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 A231376 Number of n X 2 0..1 arrays with no element less than a strict majority of its horizontal and vertical neighbors. 2
 2, 10, 21, 48, 113, 261, 601, 1390, 3216, 7435, 17190, 39751, 91921, 212555, 491510, 1136570, 2628207, 6077470, 14053561, 32497507, 75147355, 173771026, 401828790, 929190453, 2148663614, 4968578109, 11489359399, 26568039511, 61436038272 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 2 of A231382. 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) + 2*a(n-3) - 2*a(n-4) - a(n-5) for n>6. Empirical g.f.: x*(2 + 4*x - 5*x^2 + x^3 - 5*x^4 - 2*x^5) / (1 - 3*x + 2*x^2 - 2*x^3 + 2*x^4 + x^5). - Colin Barker, Mar 18 2018 EXAMPLE Some solutions for n=3: ..1..0....0..1....0..0....1..0....0..0....1..0....0..0....0..1....0..0....0..0 ..1..0....0..0....1..1....0..0....0..0....1..0....0..1....0..1....0..0....1..1 ..0..0....0..0....1..1....0..0....0..0....1..0....0..1....0..1....1..1....0..0 CROSSREFS Cf. A231382. Sequence in context: A294549 A294550 A296555 * A304700 A318548 A318210 Adjacent sequences: A231373 A231374 A231375 * A231377 A231378 A231379 KEYWORD nonn AUTHOR R. H. Hardin, Nov 08 2013 STATUS approved

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Last modified September 9 20:10 EDT 2024. Contains 375765 sequences. (Running on oeis4.)