A265601 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, vertical and antidiagonal neighbors by a power of two.

1, 1, 1, 1, 2, 1, 2, 4, 4, 2, 16, 8, 0, 8, 16, 79, 166, 177, 177, 166, 79, 456, 257, 2228, 2908, 2228, 257, 456, 2194, 1627, 0, 35824, 35824, 0, 1627, 2194, 20801, 19283, 534268, 572832, 11746590, 572832, 534268, 19283, 20801, 142675, 90682, 1808623, 19333806

Offset

1,5

Comments

Table starts

......1......1.........1............2.............16................79

......1......2.........4............8............166...............257

......1......4.........0..........177...........2228.................0

......2......8.......177.........2908..........35824............572832

.....16....166......2228........35824.......11746590..........19502116

.....79....257.........0.......572832.......19502116.................0

....456...1627....534268.....19333806.....7124418191......108447811968

...2194..19283...1808623....160881658....64498108909.....4758708947913

..20801..90682.........0...5664401710.19456105428825.................0

.142675.542663.221771015.229732307880.61995422081770.20923382039141133

Links

R. H. Hardin, Table of n, a(n) for n = 1..127

Example

Some solutions for n=4 k=4
..0..4..8..9....0..4..2..3....0..4..8.12....0..8.10..6....0..2..1..9
..2..6..7..5....8..6..4..5....8..6.10.14....4.12..8.10....1..3..5.13
..4..8..9..7....4..5..3..7...10.14.12.13....8.10..9.11....5..1..9.11
.12.10.11.15....6..7.11.15...12.10.11.15...12.11.13.15....9..5.13.15

Crossrefs

Column 1 is A265173.

Sequence in context: A257651 A275122 A264569 * A349816 A105970 A133950

Adjacent sequences: A265598 A265599 A265600 * A265602 A265603 A265604

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 10 2015

Status

approved