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A189343 T(n,k)=Number of nXk binary arrays without the pattern 1 0 0 1 diagonally, vertically, antidiagonally or horizontally 9
2, 4, 4, 8, 16, 8, 15, 64, 64, 15, 28, 225, 512, 225, 28, 52, 784, 3375, 3375, 784, 52, 97, 2704, 21952, 36626, 21952, 2704, 97, 181, 9409, 140608, 390721, 390721, 140608, 9409, 181, 338, 32761, 912673, 3988168, 6814820, 3988168, 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.......36626........390721..........3988168

..28....784.....21952......390721.......6814820........109746642

..52...2704....140608.....3988168.....109746642.......2650369322

..97...9409....912673....42069350....1857004061......68439605144

.181..32761...5929741...442969881...31177656076....1732402041622

.338.114244..38614472..4709354541..533269057178...45288523287014

.631.398161.251239591.49857094654.9053472938552.1169200527259744

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..127

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

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

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

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

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

CROSSREFS

Column 1 is A049864(n+2)

Column 2 is column 1 squared

Column 3 is column 1 cubed

Sequence in context: A267735 A189905 A189161 * A189779 A262338 A283691

Adjacent sequences:  A189340 A189341 A189342 * A189344 A189345 A189346

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Apr 20 2011

STATUS

approved

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Last modified May 12 10:54 EDT 2021. Contains 343821 sequences. (Running on oeis4.)