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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 (list; table; graph; refs; listen; history; text; internal format)
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

R. H. Hardin, Table of n, a(n) for n = 1..144

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

Adjacent sequences:  A189902 A189903 A189904 * A189906 A189907 A189908

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin May 01 2011

STATUS

approved

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Last modified September 21 16:31 EDT 2021. Contains 347598 sequences. (Running on oeis4.)