A219403 T(n,k)=Unchanging value maps: number of nXk binary arrays indicating the locations of corresponding elements unequal to no king-move neighbor in a random 0..1 nXk array

1, 2, 2, 4, 2, 4, 7, 4, 4, 7, 12, 7, 16, 7, 12, 21, 12, 43, 43, 12, 21, 37, 21, 122, 165, 122, 21, 37, 65, 37, 345, 649, 649, 345, 37, 65, 114, 65, 979, 2527, 3668, 2527, 979, 65, 114, 200, 114, 2791, 10011, 20293, 20293, 10011, 2791, 114, 200, 351, 200, 7936, 39787, 114175

Offset

1,2

Comments

Table starts

...1...2......4.......7........12..........21............37..............65

...2...2......4.......7........12..........21............37..............65

...4...4.....16......43.......122.........345...........979............2791

...7...7.....43.....165.......649........2527.........10011...........39787

..12..12....122.....649......3668.......20293........114175..........645789

..21..21....345....2527.....20293......157672.......1248733.........9953852

..37..37....979...10011....114175.....1248733......13982113.......157624553

..65..65...2791...39787....645789.....9953852.....157624553......2515924143

.114.114...7936..157725...3642830....79164115....1772485911.....40037796135

.200.200..22540..623929..20501770...627610975...19857212049....634407839438

.351.351..64031.2468377.115358777..4973394056..222321252297..10044268681464

.616.616.181974.9771861.649532106.39444021562.2491495568397.159192190071951

Links

R. H. Hardin, Table of n, a(n) for n = 1..198

Example

Some solutions for n=3 k=4
..1..0..0..0....1..1..1..1....1..0..0..0....1..0..0..0....1..1..0..0
..0..0..0..0....1..1..0..0....1..0..0..0....1..0..0..0....0..0..0..0
..0..0..1..1....1..1..0..0....1..0..0..1....1..0..0..0....0..0..0..1

Crossrefs

Column 1 is A005251(n+2)

Column 2 is A005251(n+2) for n>1

Sequence in context: A274879 A222043 A222153 * A219451 A097800 A183402

Adjacent sequences: A219400 A219401 A219402 * A219404 A219405 A219406

Keyword

nonn,tabl

Author

R. H. Hardin Nov 19 2012

Status

approved