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

1,1

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

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]

Example

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

Crossrefs

Sequence in context: A000899 A226013 A156705 * A227848 A226846 A226711

Adjacent sequences: A231416 A231417 A231418 * A231420 A231421 A231422

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 08 2013

Status

approved