A231586 T(n,k)=Number of nXk 0..3 arrays with no element less than a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors.

4, 4, 4, 16, 28, 16, 50, 124, 124, 50, 144, 602, 2352, 602, 144, 422, 2776, 32650, 32650, 2776, 422, 1268, 12922, 381076, 1245468, 381076, 12922, 1268, 3823, 60720, 5618444, 38768838, 38768838, 5618444, 60720, 3823, 11472, 286047, 82479418, 1453028265

Offset: 1

Author

R. H. Hardin, Nov 11 2013

Keywords

• nonn
• tabl

Comments

Table starts

.....4.......4...........16...............50................144

.....4......28..........124..............602...............2776

....16.....124.........2352............32650.............381076

....50.....602........32650..........1245468...........38768838

...144....2776.......381076.........38768838.........2912579313

...422...12922......5618444.......1453028265.......260228939106

..1268...60720.....82479418......57099276134.....24813120747919

..3823..286047...1142396851....2144257250786...2275463989704521

.11472.1335296..16061107556...79701582158514.205616812796559119

.34350.6256326.231334122108.3015862229160377

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..97

Crossrefs

Column 1 is A203094 for n>1

Formula

Empirical for column k:

k=1: a(n) = 4*a(n-1) -6*a(n-2) +10*a(n-3) -5*a(n-4) +6*a(n-5) -a(n-6) +a(n-7) for n>8

k=2: [order 16]

k=3: [order 72] for n>73