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

1,7

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

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

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

Adjacent sequences: A284452 A284453 A284454 * A284456 A284457 A284458

Keyword

nonn,tabl

Author

R. H. Hardin, Mar 27 2017

Status

approved