A189061 Number of nX6 binary arrays without the pattern 0 1 0 antidiagonally or horizontally

37, 1369, 33893, 795741, 19468046, 477128662, 11711612310, 287687887135, 7067105036501, 173620295413143, 4265418644778934, 104791458935593868, 2574487020801597635, 63249299061752722582, 1553891946650453527104

Offset

1,1

Comments

Column 6 of A189064

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = 37*a(n-1) -284*a(n-2) -1134*a(n-3) +14360*a(n-4) +36737*a(n-5) -643348*a(n-6) +2085746*a(n-7) -2368868*a(n-8) +807969*a(n-9) -4053547*a(n-10) +13028432*a(n-11) -14665678*a(n-12) +6463282*a(n-13) -256476*a(n-14) -534719*a(n-15) +81847*a(n-16) +10344*a(n-17) -1936*a(n-18) for n>19

Example

Some solutions for 3X6
..0..1..1..1..1..0....1..0..0..0..1..1....0..0..1..1..0..0....1..1..1..1..0..1
..0..1..1..0..1..1....0..0..1..1..1..1....0..1..1..0..0..0....0..0..0..0..0..0
..1..0..0..1..1..1....0..1..1..1..1..1....0..1..1..1..0..1....1..1..1..1..0..0

Crossrefs

Sequence in context: A206887 A188771 A207185 * A009981 A370334 A097315

Adjacent sequences: A189058 A189059 A189060 * A189062 A189063 A189064

Keyword

nonn

Author

R. H. Hardin Apr 16 2011

Status

approved