A231753 T(n,k)=Number of nXk 0..2 arrays with no element less than a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors.

3, 3, 3, 9, 15, 9, 22, 51, 51, 22, 51, 186, 589, 186, 51, 121, 687, 5106, 5106, 687, 121, 292, 2485, 41288, 101517, 41288, 2485, 292, 704, 9068, 397219, 1787168, 1787168, 397219, 9068, 704, 1691, 33308, 3745096, 36596191, 67411714, 36596191, 3745096

Offset: 1

Author

R. H. Hardin, Nov 13 2013

Keywords

• nonn
• tabl

Comments

Table starts

....3......3..........9............22................51................121

....3.....15.........51...........186...............687...............2485

....9.....51........589..........5106.............41288.............397219

...22....186.......5106........101517...........1787168...........36596191

...51....687......41288.......1787168..........67411714.........2966010838

..121...2485.....397219......36596191........2966010838.......309458955366

..292...9068....3745096.....764681711......131956285636.....31638510266609

..704..33308...34036486...15421779553.....5669387332934...3041193156650724

.1691.121445..313782748..309633476778...243573416110820.296576264769131499

.4059.444183.2927905037.6284893573378.10555475178328001

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..112

Crossrefs

Column 1 is A202882 for n>1

Formula

Empirical for column k:

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

k=2: [order 11]

k=3: [order 40] for n>41