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 A188700 Number of n X 3 binary arrays without the pattern 0 0 diagonally or vertically. 1
 8, 21, 90, 304, 1141, 4084, 14925, 54049, 196508, 713225, 2590574, 9406448, 34159833, 124045128, 450458681, 1635781681, 5940155616, 21570956189, 78332387394, 284454730240, 1032963629229, 3751084683708, 13621618755397 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 3 of A188706. LINKS R. H. Hardin, Table of n, a(n) for n = 1..200 FORMULA Empirical: a(n) = a(n-1) + 8*a(n-2) + 6*a(n-3) - a(n-4) - a(n-5). Empirical g.f.: x*(8 + 13*x + 5*x^2 - 2*x^3 - x^4) / ((1 + x)*(1 - 2*x - 6*x^2 + x^4)). - Colin Barker, Apr 28 2018 EXAMPLE Some solutions for 4 X 3: ..1..1..1....0..0..1....1..1..0....1..1..1....0..1..1....0..0..0....1..1..1 ..1..0..1....1..1..1....1..1..1....0..1..1....1..1..0....1..1..1....0..1..0 ..1..1..1....1..1..1....0..0..1....1..1..1....1..1..1....0..1..1....1..1..1 ..1..0..1....1..1..0....1..1..1....0..1..1....1..0..0....1..1..1....0..1..1 CROSSREFS Cf. A188706. Sequence in context: A226313 A275185 A264238 * A054855 A220611 A297340 Adjacent sequences: A188697 A188698 A188699 * A188701 A188702 A188703 KEYWORD nonn AUTHOR R. H. Hardin, Apr 08 2011 STATUS approved

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Last modified September 16 04:06 EDT 2024. Contains 375959 sequences. (Running on oeis4.)