A252343 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 or 4

52, 108, 108, 234, 268, 234, 538, 810, 810, 538, 1202, 2242, 2978, 2242, 1202, 2612, 6030, 10154, 10154, 6030, 2612, 5706, 16676, 34894, 43708, 34894, 16676, 5706, 12616, 46154, 120474, 184434, 184434, 120474, 46154, 12616, 27880, 126892, 413478

Offset

1,1

Comments

Table starts

....52....108......234.......538.......1202........2612.........5706

...108....268......810......2242.......6030.......16676........46154

...234....810.....2978.....10154......34894......120474.......413478

...538...2242....10154.....43708.....184434......783852......3338572

..1202...6030....34894....184434.....960912.....5095514.....26921266

..2612..16676...120474....783852....5095514....33579112....220263010

..5706..46154...413478...3338572...26921266...220263010...1793526072

.12616.126892..1423482..14229718..142055830..1445238050..14603098032

.27880.349380..4910062..60618068..751350674..9499896738.119141197236

.61330.963126.16902314.258032046.3970616096.62363110396.970914856560

Links

R. H. Hardin, Table of n, a(n) for n = 1..390

Formula

Empirical for column k:

k=1: a(n) = a(n-1) +3*a(n-3) +4*a(n-4) +4*a(n-5) +2*a(n-6) for n>7

k=2: [order 8] for n>9

k=3: [order 15] for n>17

k=4: [order 23] for n>25

k=5: [order 43] for n>45

k=6: [order 71] for n>73

Example

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

Crossrefs

Sequence in context: A044522 A335479 A272140 * A252336 A044239 A044620

Adjacent sequences: A252340 A252341 A252342 * A252344 A252345 A252346

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 16 2014

Status

approved