A209019 T(n,k)=Number of nXk 0..3 arrays with no element equal the average of immediate neighbors vertically above, diagonally above and left, and horizontally left of it.

4, 12, 12, 36, 130, 36, 108, 1430, 1430, 108, 324, 15724, 57412, 15724, 324, 972, 172936, 2303052, 2303052, 172936, 972, 2916, 1901964, 92409982, 337083370, 92409982, 1901964, 2916, 8748, 20918008, 3707858104, 49349902246, 49349902246

Offset: 1

Author

R. H. Hardin Mar 04 2012

Keywords

• nonn
• tabl

Comments

Table starts

....4........12............36................108....................324

...12.......130..........1430..............15724.................172936

...36......1430.........57412............2303052...............92409982

..108.....15724.......2303052..........337083370............49349902246

..324....172936......92409982........49349902246.........26361689168962

..972...1901964....3707858104......7224768704460......14081479775124768

.2916..20918008..148774643618...1057701934285612....7521858792951566188

.8748.230058424.5969451726624.154846841369187254.4017924265572698697072

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..180

Crossrefs

Column 1 is A003946