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A189905
T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 1 diagonally, vertically, antidiagonally or horizontally
12
2, 4, 4, 8, 16, 8, 15, 64, 64, 15, 28, 225, 512, 225, 28, 52, 784, 3375, 3375, 784, 52, 96, 2704, 21952, 35656, 21952, 2704, 96, 177, 9216, 140608, 372850, 377517, 140608, 9216, 177, 326, 31329, 884736, 3833322, 6442436, 3810503, 884736, 31329, 326, 600
OFFSET
1,1
COMMENTS
Table starts
...2......4.........8..........15............28..............52
...4.....16........64.........225...........784............2704
...8.....64.......512........3375.........21952..........140608
..15....225......3375.......35656........372850.........3833322
..28....784.....21952......377517.......6442436.......109264923
..52...2704....140608.....3810503.....101895401......2719427244
..96...9216....884736....36890502....1518596226.....63149685928
.177..31329...5545233...354894796...22333076803...1435483321366
.326.106276..34645976..3368920072..319934642768..31396505039678
.600.360000.216000000.31765314572.4537262993168.678724157124848
LINKS
EXAMPLE
Some solutions for 6X4
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..0..1....0..1..1..0....1..1..0..0....0..1..0..0....0..0..0..0
..0..0..0..0....0..1..0..1....0..0..1..0....0..0..0..0....0..0..0..0
..0..0..0..0....1..0..1..0....1..0..0..0....0..1..1..0....1..1..0..0
..1..0..1..0....0..0..0..1....0..0..1..0....0..1..0..0....0..0..0..1
..0..0..0..0....1..0..1..0....0..1..0..0....1..0..0..1....1..1..1..0
CROSSREFS
Row 1 and Column 1 are A008937(n+1)
Row 2 and Column 2 are A189154
Row 3 and Column 3 are A189155
Sequence in context: A188747 A204981 A267735 * A189161 A189343 A189779
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin May 01 2011
STATUS
approved