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A223012
T(n,k)=Number of nXk 0..1 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..1 order
14
1, 1, 2, 1, 4, 4, 4, 7, 10, 8, 5, 18, 24, 34, 16, 10, 41, 117, 169, 101, 32, 12, 119, 284, 840, 557, 331, 64, 34, 295, 1673, 4685, 6240, 4108, 1044, 128, 43, 825, 4429, 27159, 35471, 47139, 14040, 3406, 256, 101, 2060, 26552, 162547, 464809, 608759, 360347, 104533
OFFSET
1,3
COMMENTS
Table starts
....1......1........1...........4.............5..............10
....2......4........7..........18............41.............119
....4.....10.......24.........117...........284............1673
....8.....34......169.........840..........4685...........27159
...16....101......557........6240.........35471..........464809
...32....331.....4108.......47139........608759.........8156595
...64...1044....14040......360347.......4804753.......145478406
..128...3406...104533.....2779528......84081394......2624457265
..256..11008...365722....21588898.....677026335.....47747212459
..512..36039..2734747...168613534...11978593094....874312963817
.1024.117866..9710957..1322868729...97641043662..16092329823905
.2048.387709.72847186.10417760419.1740042991754.297437626371301
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..0..1..1....0..0..0..0....0..0..0..0....0..0..0..0....0..1..0..1
..1..1..1..1....0..0..1..1....0..0..0..1....0..0..0..0....0..1..1..1
..1..1..1..1....0..0..0..0....0..1..1..0....1..1..0..0....1..1..1..1
CROSSREFS
Column 1 is A000079(n-1)
Row 1 is A222353
Sequence in context: A368673 A219194 A234306 * A101452 A019963 A165417
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 11 2013
STATUS
approved