A197442 T(n,k)=Number of nXk 0..2 arrays with no element equal to the average of its horizontal and vertical neighbors

3, 6, 6, 10, 34, 10, 28, 246, 246, 28, 66, 1736, 5032, 1736, 66, 164, 12450, 98356, 98356, 12450, 164, 400, 89528, 1933358, 5184780, 1933358, 89528, 400, 982, 644328, 37989740, 279785830, 279785830, 37989740, 644328, 982, 2406, 4638654, 746250884

Offset

1,1

Comments

Table starts

....3.........6............10.................28.....................66

....6........34...........246...............1736..................12450

...10.......246..........5032..............98356................1933358

...28......1736.........98356............5184780..............279785830

...66.....12450.......1933358..........279785830............41434710920

..164.....89528......37989740........15068331840..........6117749044788

..400....644328.....746250884.......811669674888........903529041581340

..982...4638654...14659367358.....43723066740718.....133441483281347232

.2406..33398106..287967404918...2355282493094894...19707781710109683796

.5898.240473126.5656823960766.126874994917842426.2910613305873428168598

Links

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

Example

Some solutions for n=6 k=4
..0..0..0..1....0..0..0..1....0..0..0..1....0..0..0..1....0..0..0..1
..1..1..0..0....1..1..0..0....1..1..0..0....1..1..0..0....1..1..0..0
..0..0..0..1....0..0..0..0....0..0..0..1....0..0..0..1....0..0..0..1
..1..0..1..0....1..0..2..2....1..0..1..0....1..0..1..0....0..2..2..0
..2..2..2..2....2..2..0..2....1..2..2..2....2..0..2..0....1..0..0..2
..2..1..0..0....0..2..0..0....1..0..2..0....2..0..0..1....0..2..2..1

Crossrefs

Sequence in context: A135610 A157018 A203330 * A113497 A210692 A158662

Adjacent sequences: A197439 A197440 A197441 * A197443 A197444 A197445

Keyword

nonn,tabl

Author

R. H. Hardin Oct 15 2011

Status

approved