A237703 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

81, 310, 310, 1186, 1524, 1186, 4700, 7562, 7562, 4700, 18612, 39236, 49152, 39236, 18612, 73176, 201754, 333508, 333508, 201754, 73176, 287924, 1033140, 2234136, 3004030, 2234136, 1033140, 287924, 1136084, 5302002, 14991412, 26578184

Offset

1,1

Comments

Table starts

.......81.......310........1186..........4700..........18612...........73176

......310......1524........7562.........39236.........201754.........1033140

.....1186......7562.......49152........333508........2234136........14991412

.....4700.....39236......333508.......3004030.......26578184.......236841050

....18612....201754.....2234136......26578184......308509816......3627304236

....73176...1033140....14991412.....236841050.....3627304236.....56673321434

...287924...5302002...100790676....2109752772....42553713552....881109625356

..1136084..27377802...681668756...18967505282...505071086000..13907965601602

..4482952.140907656..4585208960..169027123272..5922294787728.216097927856396

.17653056.723464076.30833533736.1509396722124.69775606782180

Links

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

Example

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

Crossrefs

Sequence in context: A237463 A237456 A183994 * A237696 A237557 A237550

Adjacent sequences: A237700 A237701 A237702 * A237704 A237705 A237706

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 11 2014

Status

approved