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URL: https://oeis.org/A184200

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A184200
Number of (n+1) X 3 binary arrays with no 2 X 2 subblock containing fewer than two 1s.
2
35, 195, 1028, 5529, 29593, 158648, 850155, 4556371, 24418812, 130868377, 701364193, 3758831480, 20144755955, 107962068819, 578602594196, 3100912827657, 16618764665065, 89065173542888, 477328206813915
OFFSET
1,1
COMMENTS
Column 2 of A184207.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) + 4*a(n-2) - 11*a(n-3) - a(n-4) + 2*a(n-5).
Empirical g.f.: x*(35 + 20*x - 87*x^2 - 6*x^3 + 16*x^4) / (1 - 5*x - 4*x^2 + 11*x^3 + x^4 - 2*x^5). - Colin Barker, Feb 27 2018
EXAMPLE
Some solutions for 5 X 3:
..0..1..1....1..1..0....1..1..0....1..1..1....0..1..0....0..0..1....1..1..0
..1..0..0....1..0..1....1..0..1....1..1..0....1..1..0....1..1..0....1..1..1
..0..1..1....0..1..1....1..1..0....1..0..1....1..1..1....0..1..1....1..1..0
..1..1..1....0..1..0....1..1..0....0..1..0....0..1..0....1..0..1....0..1..1
..0..1..1....0..1..1....1..0..1....0..1..0....1..1..1....1..0..1....1..0..0
CROSSREFS
Cf. A184207.
Sequence in context: A005937 A341043 A219831 * A219942 A232713 A007329
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 10 2011
STATUS
approved