A188757 Number of nX3 binary arrays without the pattern 0 0 1 vertically or horizontally

7, 49, 240, 1112, 4792, 20129, 82807, 337209, 1363568, 5492088, 22063552, 88498657, 354619079, 1420087393, 5684504432, 22748788280, 91023096360, 364165082465, 1456849628855, 5827892187561, 23312857086192, 93254793361944

Offset

1,1

Comments

Column 3 of A188763

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -14*a(n-2) -29*a(n-3) +90*a(n-4) +12*a(n-5) -159*a(n-6) +36*a(n-7) +106*a(n-8) -35*a(n-9) -22*a(n-10) +8*a(n-11)

Example

Some solutions for 4X3
..1..1..0....0..1..0....1..1..0....0..1..1....0..1..1....0..0..0....0..0..0
..1..1..1....1..1..1....1..0..1....1..1..0....1..1..0....1..0..1....1..1..1
..0..1..1....0..0..0....1..1..1....0..1..0....0..1..0....0..0..0....0..0..0
..1..1..0....0..0..0....0..1..1....1..0..0....0..1..0....1..0..0....0..1..0

Crossrefs

Sequence in context: A212693 A223615 A188768 * A223947 A207083 A207177

Adjacent sequences: A188754 A188755 A188756 * A188758 A188759 A188760

Keyword

nonn

Author

R. H. Hardin Apr 09 2011

Status

approved