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A284455
T(n,k) = Number of n X k 0..1 arrays with the number of 1's king-move adjacent to some 0 one less than the number of 0's adjacent to some 1.
8
0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 6, 0, 102, 0, 6, 12, 0, 250, 250, 0, 12, 28, 0, 5253, 3384, 5253, 0, 28, 56, 0, 16478, 54248, 54248, 16478, 0, 56, 119, 0, 278315, 824052, 4190874, 824052, 278315, 0, 119, 236, 0, 1019120, 12957944, 52793160, 52793160, 12957944, 1019120
OFFSET
1,7
COMMENTS
Table starts
...0.0........1..........2.............6..............12.................28
...0.0........0..........0.............0...............0..................0
...1.0......102........250..........5253...........16478.............278315
...2.0......250.......3384.........54248..........824052...........12957944
...6.0.....5253......54248.......4190874........52793160.........3478866516
..12.0....16478.....824052......52793160......3177012844.......197373621124
..28.0...278315...12957944....3478866516....197373621124.....45913351929099
..56.0..1019120..203401448...51105257464..12262301470824...3020610942888634
.119.0.15188955.3209101642.3013637890236.765844185617960.635171432700031740
LINKS
EXAMPLE
Some solutions for n=4, k=4
..0..0..1..1. .0..1..1..1. .0..0..1..1. .1..1..1..0. .1..0..1..1
..1..0..1..1. .0..1..1..0. .0..0..0..0. .1..0..0..1. .0..1..1..0
..0..0..0..0. .1..1..0..0. .0..1..1..1. .0..0..0..0. .1..0..0..0
..1..1..0..1. .0..0..0..0. .0..1..1..1. .1..1..0..0. .0..1..0..0
CROSSREFS
Sequence in context: A024690 A200728 A066209 * A333250 A300222 A246814
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Mar 27 2017
STATUS
approved