A234217 T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11 (11 maximizes T(1,1))

72, 308, 308, 1248, 1540, 1248, 5344, 7348, 7348, 5344, 21888, 38424, 40384, 38424, 21888, 93760, 190188, 257116, 257116, 190188, 93760, 385536, 1029224, 1493960, 2047712, 1493960, 1029224, 385536, 1651712, 5219076, 10151836, 14743812

Offset

1,1

Comments

Table starts

.......72.......308........1248.........5344..........21888...........93760

......308......1540........7348........38424.........190188.........1029224

.....1248......7348.......40384.......257116........1493960........10151836

.....5344.....38424......257116......2047712.......14743812.......128575264

....21888....190188.....1493960.....14743812......125726800......1394066584

....93760...1029224....10151836....128575264.....1394066584.....20127064876

...385536...5219076....61124816....972664988....12541330624....232097384988

..1651712..28931288...436731604...9139171016...154402398572...3785005344428

..6801408.148987468..2691478528..71474160448..1438786785176..45442038074040

.29139968.838864504.19921334892.709190594872.19244558737744.819238398602984

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: a(n) = 24*a(n-2) -112*a(n-4)

k=2: [order 15]

k=3: [order 56]

Example

Some solutions for n=3 k=4
..1..0..1..0..2....0..1..0..2..1....0..2..2..0..0....0..2..3..2..0
..2..0..2..2..1....0..2..0..1..3....1..0..1..2..1....0..1..1..1..2
..1..0..1..0..0....2..1..2..2..3....2..2..0..2..0....0..2..3..2..0
..0..2..2..2..1....3..1..3..4..2....0..1..2..1..0....1..2..4..2..1

Crossrefs

Sequence in context: A277430 A277991 A205627 * A234210 A157909 A107314

Adjacent sequences: A234214 A234215 A234216 * A234218 A234219 A234220

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 21 2013

Status

approved