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A202527 Number of (n+2) X 5 binary arrays avoiding patterns 000 and 101 in rows, columns and nw-to-se diagonals. 1
417, 1084, 2263, 4669, 10240, 22118, 47098, 101249, 218000, 467743, 1004221, 2157988, 4635082, 9954218, 21381733, 45927212, 98644463, 211878013, 455096536, 977499190, 2099565274, 4509660401, 9686297296, 20805178151, 44687426189 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 3 of A202532.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) +2*a(n-3) -2*a(n-4) -2*a(n-5) +a(n-7) for n>8.
Empirical g.f.: x*(417 + 250*x + 95*x^2 - 691*x^3 - 432*x^4 + 114*x^5 + 218*x^6 + 20*x^7) / ((1 - x)*(1 + x^2 - x^3)*(1 - x - 2*x^2 - x^3)). - Colin Barker, Jun 01 2018
EXAMPLE
Some solutions for n=3.
..0..0..1..1..0....1..1..1..1..0....1..1..1..1..0....0..0..1..0..0
..0..1..1..1..1....1..1..1..1..1....1..1..1..1..0....0..1..1..1..0
..1..1..1..1..1....1..1..1..1..0....1..1..1..1..1....1..1..1..1..1
..1..1..1..0..0....1..1..1..1..0....1..1..1..1..1....0..1..1..1..0
..0..0..1..0..0....1..1..0..0..1....0..1..1..0..0....0..0..1..1..0
CROSSREFS
Cf. A202532.
Sequence in context: A223422 A239191 A324613 * A224557 A292422 A328497
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 20 2011
STATUS
approved

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Last modified June 21 21:50 EDT 2024. Contains 373559 sequences. (Running on oeis4.)