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.

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

Author

R. H. Hardin, Mar 27 2017

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..161