A265178 T(n,k)=Number of nXk 0..n*k-1 arrays with upper left zero and lower right n*k-1 and each element differing from its horizontal and vertical neighbors by a power of two.

1, 1, 1, 1, 4, 1, 2, 21, 21, 2, 16, 139, 2024, 139, 16, 79, 8463, 170970, 170970, 8463, 79, 456, 219995, 7796840, 36765048, 7796840, 219995, 456, 2194, 6639203, 1346956387, 19256175024, 19256175024, 1346956387, 6639203, 2194, 20801, 149441692

Offset

1,5

Comments

Table starts

......1..........1..............1................2................16

......1..........4.............21..............139..............8463

......1.........21...........2024...........170970...........7796840

......2........139.........170970.........36765048.......19256175024

.....16.......8463........7796840......19256175024....62221755947285

.....79.....219995.....1346956387....7187180809683.29140746691543180

....456....6639203...226158945148.2362949716450873

...2194..149441692.16064538255326

..20801.6260685646

.142675

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

Some solutions for n=3 k=4
..0..2..6..8....0..8.10.11....0..8..0..2....0..8..9.11....0..2..0..2
..8..0..2.10....4..6..8.10....4..6..2.10....2..6..8.10....4..6..2.10
..6..8.10.11....0..8.10.11....8..4..3.11....6..7..9.11....6..5..3.11

Crossrefs

Sequence in context: A299067 A299728 A299839 * A159766 A280284 A004161

Adjacent sequences: A265175 A265176 A265177 * A265179 A265180 A265181

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 03 2015

Status

approved