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A188992
T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 antidiagonally or horizontally
14
2, 4, 4, 7, 16, 8, 12, 49, 64, 16, 20, 144, 295, 256, 32, 33, 400, 1256, 1793, 1024, 64, 54, 1089, 5304, 10812, 10871, 4096, 128, 88, 2916, 21952, 68064, 92532, 65937, 16384, 256, 143, 7744, 89744, 423606, 852448, 791388, 399911, 65536, 512, 232, 20449
OFFSET
1,1
COMMENTS
Table starts
....2.......4........7.........12...........20.............33...............54
....4......16.......49........144..........400...........1089.............2916
....8......64......295.......1256.........5304..........21952............89744
...16.....256.....1793......10812........68064.........423606..........2613530
...32....1024....10871......92532.......852448........7844188.........72609144
...64....4096....65937.....791388.....10682432......144733702.......2002277608
..128...16384...399911....6768028....133744640.....2668260348......55080396536
..256...65536..2425505...57879084...1674569728....49183191266....1515192856324
..512..262144.14710935..494973804..20965958400...906546313088...41677443278252
.1024.1048576.89223345.4232940812.262498839552.16709359181770.1146393385863412
LINKS
EXAMPLE
Some solutions for 5X3
..1..1..1....1..1..0....1..1..1....1..1..1....1..1..1....1..1..1....1..1..0
..0..1..0....1..0..0....1..0..0....1..1..1....1..1..1....0..1..1....0..1..0
..1..1..0....0..1..0....1..1..1....1..0..0....0..0..0....1..0..1....0..1..0
..0..1..1....0..1..1....1..1..0....0..1..0....0..1..1....1..1..1....1..0..1
..1..1..0....0..1..0....1..1..0....1..0..1....0..0..0....0..1..0....0..1..1
CROSSREFS
Column 2 is Column 1 squared
Row 1 is A000071(n+3)
Row 2 is A188516
Sequence in context: A223669 A223680 A189264 * A189617 A189064 A188874
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Apr 15 2011
STATUS
approved