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A189696
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T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 diagonally, vertically or antidiagonally
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13
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2, 4, 4, 8, 16, 7, 16, 64, 49, 12, 32, 256, 292, 144, 20, 64, 1024, 1723, 1298, 400, 33, 128, 4096, 10327, 11637, 5172, 1089, 54, 256, 16384, 61996, 107720, 65297, 20316, 2916, 88, 512, 65536, 371641, 997264, 862652, 370045, 77752, 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.....292......1723.......10327.........61996..........371641
..12...144....1298.....11637......107720........997264.........9205575
..20...400....5172.....65297......862652......11451149.......151788273
..33..1089...20316....370045.....7174919.....140346362......2748122586
..54..2916...77752...1999150....55423132....1553640701.....43645304766
..88..7744..295720..10867960...437257670...17872674996....733660344149
.143.20449.1117080..58328512..3370409239..198287096355..11722251157012
.232.53824.4209924.313915268.26229648516.2240961706438.192737455311869
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..340
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EXAMPLE
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Some solutions for 5X3
..1..0..0....1..0..0....1..0..0....0..1..0....1..0..0....0..0..0....1..0..1
..1..1..1....1..1..1....1..1..1....0..0..1....1..1..1....1..1..1....1..0..1
..1..1..1....1..0..0....0..1..0....0..1..0....0..0..1....1..1..1....0..0..1
..1..0..0....1..1..1....1..1..1....0..1..1....1..1..0....0..1..1....1..0..0
..1..0..1....0..1..0....1..1..1....0..0..0....0..0..1....1..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 A188748
Sequence in context: A283282 A181253 A267788 * A189196 A188747 A204981
Adjacent sequences: A189693 A189694 A189695 * A189697 A189698 A189699
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Apr 25 2011
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STATUS
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approved
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