A252321 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 1 3 6 or 7

1557, 2498, 2498, 4197, 1974, 4197, 7815, 1918, 1918, 7815, 15269, 2579, 2493, 2579, 15269, 28883, 5029, 6011, 6011, 5029, 28883, 56052, 10448, 18820, 23422, 18820, 10448, 56052, 111752, 25875, 62915, 97191, 97191, 62915, 25875, 111752, 222145

Offset

1,1

Comments

Table starts

...1557...2498....4197......7815......15269.......28883........56052

...2498...1974....1918......2579.......5029.......10448........25875

...4197...1918....2493......6011......18820.......62915.......214325

...7815...2579....6011.....23422......97191......409636......1741936

..15269...5029...18820.....97191.....505062.....2670867.....14105723

..28883..10448...62915....409636....2670867....17562749....115183853

..56052..25875..214325...1741936...14105723...115183853....937981280

.111752..68772..735703...7424869...74390225...755608304...7634090167

.222145.184492.2536027..31630640..393421805..4967205339..62282796267

.444181.504259.8732521.134638865.2079994660.32613907484.507708324342

Links

R. H. Hardin, Table of n, a(n) for n = 1..241

Formula

Empirical for column k:

k=2: [linear recurrence of order 58] for n>68

k=3: [order 27] for n>34

k=4: [order 32] for n>37

k=5: [order 52] for n>57

k=6: [order 80] for n>85

Example

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

Crossrefs

Sequence in context: A022222 A166606 A252313 * A252314 A186393 A025026

Adjacent sequences: A252318 A252319 A252320 * A252322 A252323 A252324

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 16 2014

Status

approved