A231419 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order.

9, 71, 50, 514, 1032, 285, 3838, 20896, 15125, 1617, 28486, 424404, 844061, 221445, 9188, 212060, 8704406, 46978621, 34099824, 3245016, 52193, 1578180, 178277756, 2655479347, 5203044823, 1378646988, 47557773, 296511, 11748804, 3654045516

Offset: 1

Author

R. H. Hardin, Nov 08 2013

Keywords

• nonn
• tabl

Comments

Table starts

....9......71........514.........3838...........28486.............212060

...50....1032......20896.......424404.........8704406..........178277756

..285...15125.....844061.....46978621......2655479347.......149618567148

.1617..221445...34099824...5203044823....811353885448....125876025896444

.9188.3245016.1378646988.576572713438.248018799189236.105946496489105569

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..70

Formula

Empirical for column k:

k=1: a(n) = 6*a(n-1) -11*a(n-3) +4*a(n-4)

k=2: [order 7]

k=3: [order 34]

k=4: [order 99]

Empirical for row n:

n=1: a(n) = 8*a(n-1) +4*a(n-2) -58*a(n-3) -24*a(n-4) +40*a(n-5) -16*a(n-6)

n=2: [order 28]