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A189196
T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 vertically or antidiagonally
13
2, 4, 4, 8, 16, 7, 16, 64, 49, 12, 32, 256, 316, 144, 20, 64, 1024, 2032, 1494, 400, 33, 128, 4096, 13045, 15326, 6446, 1089, 54, 256, 16384, 83737, 156564, 101628, 27170, 2916, 88, 512, 65536, 537496, 1598444, 1579664, 657028, 111778, 7744, 143, 1024, 262144
OFFSET
1,1
COMMENTS
Table starts
...2.....4.......8........16...........32.............64..............128
...4....16......64.......256.........1024...........4096............16384
...7....49.....316......2032........13045..........83737...........537496
..12...144....1494.....15326.......156564........1598444.........16316636
..20...400....6446....101628......1579664.......24496092........379515360
..33..1089...27170....657028.....15564047......367115337.......8646366042
..54..2916..111778...4109278....146936454.....5218915180.....184841938568
..88..7744..455376..25421672...1372985912....73539558380....3925306136096
.143.20449.1841116.155713446..12673978495..1021199649839...81929775932500
.232.53824.7415070.949556490.116484051544.14125557202206.1704770564043390
LINKS
EXAMPLE
Some solutions for 5X3
..1..1..1....0..1..1....0..1..1....0..0..0....0..1..1....0..0..1....1..0..1
..0..1..1....1..1..0....1..0..1....1..1..1....0..0..0....1..1..0....1..0..0
..1..0..0....0..1..1....1..0..0....1..1..0....0..1..1....0..1..1....1..0..1
..1..1..0....1..0..1....0..0..0....1..0..1....0..0..1....0..1..1....0..0..0
..1..0..0....0..0..1....0..0..0....0..1..1....0..0..0....0..1..0....0..0..0
CROSSREFS
Column 1 is A000071(n+3)
Column 2 is A188516
Row 3 is A188868
Sequence in context: A181253 A267788 A189696 * A188747 A204981 A267735
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Apr 18 2011
STATUS
approved