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A189779 T(n,k)=Number of nXk binary arrays without the pattern 1 0 0 1 diagonally, vertically or horizontally 7
2, 4, 4, 8, 16, 8, 15, 64, 64, 15, 28, 225, 512, 225, 28, 52, 784, 3375, 3375, 784, 52, 97, 2704, 21952, 37976, 21952, 2704, 97, 181, 9409, 140608, 418550, 418550, 140608, 9409, 181, 338, 32761, 912673, 4461435, 7767740, 4461435, 912673, 32761, 338, 631 (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.........418550..........4461435

..28....784.....21952......418550........7767740........136521398

..52...2704....140608.....4461435......136521398.......3848548036

..97...9409....912673....48633913.....2475199422.....112831587094

.181..32761...5929741...530389481....44835555921....3292640179737

.338.114244..38614472..5817065520...819898395901...97500493294819

.631.398161.251239591.63680392402.14951509967629.2875530570969513

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..199

EXAMPLE

Some solutions for 7X5

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

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

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

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

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

CROSSREFS

Column 1 is A049864(n+2)

Column 2 is A189336

Column 3 is A189337

Sequence in context: A189905 A189161 A189343 * A262338 A283691 A283130

Adjacent sequences:  A189776 A189777 A189778 * A189780 A189781 A189782

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Apr 27 2011

STATUS

approved

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Last modified May 24 18:12 EDT 2022. Contains 354043 sequences. (Running on oeis4.)