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A197442 T(n,k)=Number of nXk 0..2 arrays with no element equal to the average of its horizontal and vertical neighbors 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified February 8 23:03 EST 2023. Contains 360153 sequences. (Running on oeis4.)