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A189264
T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 diagonally, antidiagonally or horizontally
14
2, 4, 4, 7, 16, 8, 12, 49, 64, 16, 20, 144, 280, 256, 32, 33, 400, 1156, 1600, 1024, 64, 54, 1089, 4720, 8900, 8985, 4096, 128, 88, 2916, 18960, 52748, 65760, 50397, 16384, 256, 143, 7744, 74869, 308266, 552752, 481552, 282332, 65536, 512, 232, 20449, 293495
OFFSET
1,1
COMMENTS
Table starts
....2.......4........7.........12..........20............33..............54
....4......16.......49........144.........400..........1089............2916
....8......64......280.......1156........4720.........18960...........74869
...16.....256.....1600.......8900.......52748........308266.........1771206
...32....1024.....8985......65760......552752.......4628486........38600001
...64....4096....50397.....481552.....5746968......68635317.......830564651
..128...16384...282332....3510380....59399960....1010709182.....17747766886
..256...65536..1581428...25556548...613358776...14861981162....379055775099
..512..262144..8857677..185975588..6329670680..218354201468...8092834825779
.1024.1048576.49611209.1353139492.65317473848.3207581304325.172797606124166
LINKS
EXAMPLE
Some solutions for 5X3
..0..0..0....1..0..0....0..1..0....1..0..1....1..0..0....1..0..0....0..1..0
..1..1..1....1..1..0....0..1..0....0..0..0....0..1..1....0..1..1....1..1..1
..1..1..0....0..1..0....0..1..1....0..0..0....1..1..1....1..1..1....1..0..1
..1..1..1....0..1..0....1..1..1....0..1..0....1..1..1....1..0..0....1..0..1
..0..0..0....0..0..0....1..0..0....1..0..1....0..1..0....1..0..1....1..0..0
CROSSREFS
Row 1 is A000071(n+3)
Row 2 is A188516
Sequence in context: A262274 A223669 A223680 * A188992 A189617 A189064
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Apr 19 2011
STATUS
approved