A209047 T(n,k)=Number of nXk 0..3 arrays with no element equal the average of immediate neighbors vertically above and horizontally left of it.

4, 12, 12, 36, 124, 36, 108, 1300, 1300, 108, 324, 13644, 47700, 13644, 324, 972, 143212, 1752148, 1752148, 143212, 972, 2916, 1503212, 64369764, 225262148, 64369764, 1503212, 2916, 8748, 15778340, 2364812680, 28964458546, 28964458546

Offset: 1

Author

R. H. Hardin Mar 04 2012

Keywords

• nonn
• tabl

Comments

Table starts

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

...12.......124..........1300.............13644.................143212

...36......1300.........47700...........1752148...............64369764

..108.....13644.......1752148.........225262148............28964458546

..324....143212......64369764.......28964458546.........13034933066892

..972...1503212....2364812680.....3724317998214.......5866193355938718

.2916..15778340...86878417604...478881915072688....2640002203816927226

.8748.165616044.3191736905988.61575811582924326.1188097914449381928076

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..220

Crossrefs

Column 1 is A003946