A205431 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..3 introduced in row major order

15, 102, 102, 870, 1662, 870, 7566, 29022, 29022, 7566, 68342, 513038, 1093244, 513038, 68342, 609086, 9083342, 40007284, 40007284, 9083342, 609086, 5514982, 160862398, 1514539540, 3163254256, 1514539540, 160862398, 5514982, 49362414

Offset

1,1

Comments

Table starts

.......15.........102............870.............7566............68342

......102........1662..........29022...........513038..........9083342

......870.......29022........1093244.........40007284.......1514539540

.....7566......513038.......40007284.......3163254256.....250194674424

....68342.....9083342.....1514539540.....250194674424...42782998259850

...609086...160862398....55445403092...19790583241516.7075689720463554

..5514982..2848901694..2098930772556.1565428649231412

.49362414.50454831598.76841262200636

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

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

Crossrefs

Sequence in context: A163717 A111370 A093739 * A085465 A205424 A219624

Adjacent sequences: A205428 A205429 A205430 * A205432 A205433 A205434

Keyword

nonn,tabl

Author

R. H. Hardin Jan 27 2012

Status

approved