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

Author

R. H. Hardin, Nov 07 2013

Keywords

• nonn
• tabl

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

Examples

			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
		

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]