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 A188865 Number of n X 8 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally. 2
 256, 1393, 3194, 5275, 7442, 9627, 11814, 14001, 16188, 18375, 20562, 22749, 24936, 27123, 29310, 31497, 33684, 35871, 38058, 40245, 42432, 44619, 46806, 48993, 51180, 53367, 55554, 57741, 59928, 62115, 64302, 66489, 68676, 70863, 73050, 75237, 77424 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 8 of A188866. LINKS R. H. Hardin, Table of n, a(n) for n = 1..200 FORMULA Empirical: a(n) = 2187*n - 3495 for n>5. Conjectures from Colin Barker, Feb 28 2018: (Start) G.f.: x*(256 + 881*x + 664*x^2 + 280*x^3 + 86*x^4 + 18*x^5 + 2*x^6) / (1 - x)^2. a(n) = 2*a(n-1) - a(n-2) for n>7. (End) EXAMPLE Some solutions for 3 X 8: ..1..1..1..1..1..1..1..1....1..1..1..1..1..1..1..1....1..1..0..1..1..1..1..1 ..1..1..1..1..1..1..1..1....1..1..1..1..1..1..1..1....0..0..0..0..1..1..1..1 ..0..0..0..0..1..1..1..0....0..0..1..0..1..1..1..0....0..0..0..0..0..0..0..0 CROSSREFS Cf. A188866. Sequence in context: A206320 A237315 A237309 * A187964 A187956 A237225 Adjacent sequences: A188862 A188863 A188864 * A188866 A188867 A188868 KEYWORD nonn AUTHOR R. H. Hardin, Apr 12 2011 STATUS approved

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Last modified March 31 02:53 EDT 2023. Contains 361623 sequences. (Running on oeis4.)