A221590 T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..3 nXk array

1, 2, 2, 4, 8, 4, 8, 40, 40, 8, 16, 180, 418, 180, 16, 32, 772, 3760, 3760, 772, 32, 64, 3264, 31416, 64324, 31416, 3264, 64, 128, 13634, 256736, 1043774, 1043774, 256736, 13634, 128, 256, 56456, 2075520, 16758008, 33535224, 16758008, 2075520, 56456, 256, 512

Offset

1,2

Comments

Table starts

...1......2........4.........8.........16.........32........64........128

...2......8.......40.......180........772.......3264.....13634......56456

...4.....40......418......3760......31416.....256736...2075520...16690688

...8....180.....3760.....64324....1043774...16758008.268358624.4294659968

..16....772....31416...1043774...33535224.1073664992

..32...3264...256736..16758008.1073664992

..64..13634..2075520.268358624

.128..56456.16690688

.256.232150

.512

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

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

Crossrefs

Column 1 is A000079(n-1)

Sequence in context: A220545 A220751 A220967 * A137778 A000017 A032522

Adjacent sequences: A221587 A221588 A221589 * A221591 A221592 A221593

Keyword

nonn,tabl

Author

R. H. Hardin Jan 20 2013

Status

approved