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A189161 T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 1 diagonally, vertically or horizontally 9
2, 4, 4, 8, 16, 8, 15, 64, 64, 15, 28, 225, 512, 225, 28, 52, 784, 3375, 3375, 784, 52, 96, 2704, 21952, 37976, 21952, 2704, 96, 177, 9216, 140608, 424401, 424401, 140608, 9216, 177, 326, 31329, 884736, 4597967, 8210464, 4597967, 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.......37976.........424401..........4597967

..28....784.....21952......424401........8210464........151889331

..52...2704....140608.....4597967......151889331.......4708773306

..96...9216....884736....48460966.....2710884810.....139543984265

.177..31329...5545233...507947896....48083827685....4101554902927

.326.106276..34645976..5289780940...844714479714..118889716429242

.600.360000.216000000.54890361712.14772128520081.3425594682105277

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..219

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

..1..0..1..0....1..0..1..0....1..0..0..0....0..1..1..1....1..0..1..0

..1..0..1..0....1..0..1..0....0..1..0..1....0..0..1..0....0..0..0..0

..1..0..0..0....0..1..1..0....1..0..1..0....0..1..0..0....1..0..0..1

..0..0..1..0....0..0..1..0....0..0..0..0....0..0..1..0....0..1..0..0

..1..1..0..1....0..1..0..1....0..0..0..0....0..0..0..0....1..0..1..0

CROSSREFS

Column 1 is A008937(n+1)

Column 2 is column 1 squared

Column 3 is column 1 cubed

Sequence in context: A204981 A267735 A189905 * A189343 A189779 A262338

Adjacent sequences:  A189158 A189159 A189160 * A189162 A189163 A189164

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Apr 17 2011

STATUS

approved

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Last modified September 18 12:35 EDT 2021. Contains 347527 sequences. (Running on oeis4.)