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

1,1

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

Links

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

Example

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

Crossrefs

Column 1 is A003946

Sequence in context: A161411 A261695 A380342 * A209019 A202636 A239194

Adjacent sequences: A209044 A209045 A209046 * A209048 A209049 A209050

Keyword

nonn,tabl

Author

R. H. Hardin Mar 04 2012

Status

approved