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A188607
T(n,k)=Number of nXk binary arrays without the pattern 1 1 0 diagonally, vertically, antidiagonally or horizontally
14
2, 4, 4, 7, 16, 7, 12, 49, 49, 12, 20, 144, 211, 144, 20, 33, 400, 847, 883, 400, 33, 54, 1089, 3282, 4914, 3354, 1089, 54, 88, 2916, 12405, 26723, 24711, 12529, 2916, 88, 143, 7744, 45860, 140617, 181626, 123984, 45705, 7744, 143, 232, 20449, 167525, 721597
OFFSET
1,1
COMMENTS
Table starts
...2.....4.......7.......12.........20..........33............54.............88
...4....16......49......144........400........1089..........2916...........7744
...7....49.....211......847.......3282.......12405.........45860.........167525
..12...144.....883.....4914......26723......140617........721597........3648942
..20...400....3354....24711.....181626.....1288734.......8951764.......61078115
..33..1089...12529...123984....1238275....11895711.....111888105.....1031943536
..54..2916...45705...602049....8077216...104225541....1318303126....16339159241
..88..7744..165506..2925040...52884231...919272280...15651179908...260970703443
.143.20449..595370.14100232..342253692..7996186202..182869043451..4096182114761
.232.53824.2135861.67998376.2219051847.69774651726.2144672066828.64567134345340
LINKS
EXAMPLE
Some solutions for 5X3
..0..0..1....0..0..0....0..1..0....0..1..1....1..0..0....0..0..0....0..0..0
..0..1..0....0..0..0....0..0..1....0..0..0....0..0..0....0..1..0....1..0..1
..1..0..0....1..0..0....0..0..0....1..0..1....1..1..1....1..0..0....0..0..0
..0..0..1....1..1..1....1..1..1....1..0..0....0..0..0....0..0..1....1..1..1
..0..1..0....1..1..1....1..0..1....1..0..0....0..1..1....0..0..1....0..0..0
CROSSREFS
Row 1 and Column 1 are A000071(n+3)
Row 2 and Column 2 are A188516
Sequence in context: A227679 A223782 A223716 * A188851 A188523 A206785
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Apr 05 2011
STATUS
approved