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A189196
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T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 vertically or antidiagonally
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13
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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
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OFFSET
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1,1
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COMMENTS
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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
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..687
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EXAMPLE
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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
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CROSSREFS
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Column 1 is A000071(n+3)
Column 2 is A188516
Row 3 is A188868
Sequence in context: A181253 A267788 A189696 * A188747 A204981 A267735
Adjacent sequences: A189193 A189194 A189195 * A189197 A189198 A189199
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Apr 18 2011
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STATUS
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approved
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