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A188992
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T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 antidiagonally or horizontally
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14
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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
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OFFSET
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1,1
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COMMENTS
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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
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..643
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EXAMPLE
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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
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CROSSREFS
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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
Adjacent sequences: A188989 A188990 A188991 * A188993 A188994 A188995
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Apr 15 2011
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STATUS
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approved
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