A251682 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 or 4

293, 489, 489, 953, 865, 953, 2257, 2089, 2089, 2257, 5151, 5065, 5527, 5065, 5151, 12063, 13031, 16467, 16467, 13031, 12063, 29839, 36075, 54523, 64309, 54523, 36075, 29839, 72345, 100307, 184139, 264983, 264983, 184139, 100307, 72345, 176143

Offset

1,1

Comments

Table starts

....293.....489......953......2257.......5151.......12063.........29839

....489.....865.....2089......5065......13031.......36075........100307

....953....2089.....5527.....16467......54523......184139........632811

...2257....5065....16467.....64309.....264983.....1116829.......4748285

...5151...13031....54523....264983....1374165.....7229485......38111915

..12063...36075...184139...1116829....7229485....47407259.....310560937

..29839..100307...632811...4748285...38111915...310560937....2525118941

..72345..282489..2196747..20262955..201286237..2035481639...20534822225

.176143..805963..7647815..86674549.1064712861.13365199539..167304924269

.435429.2300981.26675183.370897287.5635265205.87801989105.1363558488437

Links

R. H. Hardin, Table of n, a(n) for n = 1..264

Formula

Empirical for column k:

k=1: [linear recurrence of order 14] for n>15

k=2: [order 21] for n>22

k=3: [order 32] for n>37

k=4: [order 50] for n>54

k=5: [order 89] for n>94

Example

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

Crossrefs

Sequence in context: A142284 A245583 A252409 * A251675 A142784 A142847

Adjacent sequences: A251679 A251680 A251681 * A251683 A251684 A251685

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 06 2014

Status

approved