A251791 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 3 6 or 7

1280, 1664, 1664, 3072, 2640, 3072, 6144, 6470, 6470, 6144, 11834, 14908, 16710, 14908, 11834, 22632, 35948, 44504, 44504, 35948, 22632, 44792, 85826, 130202, 149364, 130202, 85826, 44792, 86988, 210582, 362242, 541656, 541656, 362242

Offset

1,1

Comments

Table starts

...1280....1664.....3072......6144......11834.......22632.........44792

...1664....2640.....6470.....14908......35948.......85826........210582

...3072....6470....16710.....44504.....130202......362242.......1035154

...6144...14908....44504....149364.....541656.....1765074.......6446816

..11834...35948...130202....541656....2432344....10134314......46409346

..22632...85826...362242...1765074...10134314....52977162.....302373278

..44792..210582..1035154...6446816...46409346...302373278....2223220200

..86988..525800..3188016..24880436..224615756..1884805604...17491571986

.170432.1281188..9369766..90369250.1050145210.11306760510..133178140146

.342826.3230514.28509654.354040208.5180674746.70754000356.1057141576284

Links

R. H. Hardin, Table of n, a(n) for n = 1..286

Formula

Empirical for column k:

k=1: [linear recurrence of order 41] for n>50

k=2: [order 60] for n>66

k=3: [order 70] for n>76

Example

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

Crossrefs

Sequence in context: A160233 A251887 A251894 * A251784 A234315 A251783

Adjacent sequences: A251788 A251789 A251790 * A251792 A251793 A251794

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 08 2014

Status

approved