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A208709
T(n,k)=Number of nXk 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors
12
1, 2, 2, 4, 8, 4, 8, 28, 32, 8, 16, 100, 196, 128, 16, 32, 356, 1268, 1372, 512, 32, 64, 1268, 8128, 16084, 9604, 2048, 64, 128, 4516, 52184, 185344, 204020, 67228, 8192, 128, 256, 16084, 334948, 2142580, 4226368, 2587924, 470596, 32768, 256, 512, 57284, 2149988
OFFSET
1,2
COMMENTS
Table starts
...1.....2.......4.........8..........16............32..............64
...2.....8......28.......100.........356..........1268............4516
...4....32.....196......1268........8128.........52184..........334948
...8...128....1372.....16084......185344.......2142580........24754628
..16...512....9604....204020.....4226368......87985748......1830045552
..32..2048...67228...2587924....96373248....3613193828....135288700496
..64..8192..470596..32826932..2197585152..148378294612..10001404535216
.128.32768.3294172.416398420.50111214592.6093257064980.739367693888784
LINKS
EXAMPLE
Some solutions for n=4 k=3
..0..1..1....0..1..0....0..0..0....0..0..1....0..0..1....0..1..0....0..1..0
..1..0..0....0..0..0....0..1..1....0..0..0....0..1..1....0..0..0....1..0..0
..1..0..1....0..1..1....1..0..1....1..1..1....0..0..0....1..1..1....1..0..1
..1..1..1....0..1..1....0..1..0....0..0..0....0..1..0....1..0..0....1..1..0
CROSSREFS
Column 2 is A004171(n-1)
Row 2 is A104934
Sequence in context: A300267 A318016 A320402 * A300472 A326105 A300811
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 01 2012
STATUS
approved