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A189696
T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 diagonally, vertically or antidiagonally
13
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
OFFSET
1,1
COMMENTS
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
LINKS
EXAMPLE
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
CROSSREFS
Column 1 is A000071(n+3)
Column 2 is A188516
Row 3 is A188748
Sequence in context: A283282 A181253 A267788 * A189196 A188747 A204981
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Apr 25 2011
STATUS
approved