A231324 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order

6, 24, 24, 216, 432, 216, 1536, 9600, 9600, 1536, 11616, 192192, 569184, 192192, 11616, 86400, 3917184, 30645600, 30645600, 3917184, 86400, 645504, 79306752, 1695860064, 4509951264, 1695860064, 79306752, 645504, 4816896, 1607468544

Offset

1,1

Comments

Table starts

.....6......24........216.........1536...........11616..............86400

....24.....432.......9600.......192192.........3917184...........79306752

...216....9600.....569184.....30645600......1695860064........93216760416

..1536..192192...30645600...4509951264....677392128096....101255199764448

.11616.3917184.1695860064.677392128096.277024322215296.112717970818679904

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: a(n) = 6*a(n-1) +12*a(n-2) -8*a(n-3)

k=2: [order 9]

k=3: [order 36]

k=4: [order 81]

Example

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

Crossrefs

Sequence in context: A049319 A203984 A237836 * A274557 A072710 A349688

Adjacent sequences: A231321 A231322 A231323 * A231325 A231326 A231327

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 07 2013

Status

approved