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A188851
T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 vertically, antidiagonally or horizontally
14
2, 4, 4, 7, 16, 7, 12, 49, 49, 12, 20, 144, 219, 144, 20, 33, 400, 908, 958, 400, 33, 54, 1089, 3642, 5711, 3860, 1089, 54, 88, 2916, 14265, 33037, 32204, 15358, 2916, 88, 143, 7744, 54914, 185351, 262588, 181557, 59939, 7744, 143, 232, 20449, 209116, 1020454
OFFSET
1,1
COMMENTS
Table starts
...2.....4.......7........12.........20...........33.............54
...4....16......49.......144........400.........1089...........2916
...7....49.....219.......908.......3642........14265..........54914
..12...144.....958......5711......33037.......185351........1020454
..20...400....3860.....32204.....262588......2065977.......16000078
..33..1089...15358....181557....2092409.....23131221......251306086
..54..2916...59939...1001368...16242526....251417066.....3821933610
..88..7744..232747...5521489..126202999...2738402462....58235424734
.143.20449..899307..30306759..975352031..29645845119...881525407714
.232.53824.3468816.166323490.7539816897.321142446865.13352533241696
LINKS
EXAMPLE
Some solutions for 5X3
..1..1..1....1..1..0....0..1..0....0..1..1....0..1..1....1..0..1....0..1..1
..0..1..1....0..1..0....1..1..1....1..1..1....1..1..0....0..1..1....1..0..1
..1..1..1....1..1..0....1..1..0....0..0..0....1..1..1....1..1..1....0..1..1
..0..1..1....0..1..0....0..1..1....1..1..0....0..0..0....1..1..1....0..0..0
..1..0..1....1..1..0....0..1..1....1..1..0....0..1..1....0..1..1....0..1..1
CROSSREFS
Row 1 and Column 1 are A000071(n+3)
Row 2 and Column 2 are A188516
Sequence in context: A223782 A223716 A188607 * A188523 A206785 A188763
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Apr 12 2011
STATUS
approved