A236789 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median plus the lower median minus the minimum of every 2X2 subblock equal

81, 255, 255, 770, 1097, 770, 2475, 4452, 4452, 2475, 7967, 19851, 23675, 19851, 7967, 26320, 87889, 145124, 145124, 87889, 26320, 87685, 405350, 867928, 1287919, 867928, 405350, 87685, 296341, 1877803, 5547565, 10951425, 10951425, 5547565

Offset

1,1

Comments

Table starts

......81.......255........770.........2475...........7967............26320

.....255......1097.......4452........19851..........87889...........405350

.....770......4452......23675.......145124.........867928..........5547565

....2475.....19851.....145124......1287919.......10951425........101820364

....7967.....87889.....867928.....10951425......128004881.......1684255298

...26320....405350....5547565....101820364.....1684255298......32223974061

...87685...1877803...35115362....921870137....20959676762.....570994921148

..296341...8891685..230220290...8733287503...278468706789...11000072878624

.1009386..42339874.1500418737..81211467440..3553360015495..200824005818655

.3469327.204256129.9979134414.774898990883.47248656876065.3868923775555236

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: [linear recurrence of order 18]

k=2: [order 35]

k=3: [order 83]

Example

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

Crossrefs

Sequence in context: A225027 A225020 A219131 * A236798 A237067 A236782

Adjacent sequences: A236786 A236787 A236788 * A236790 A236791 A236792

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 31 2014

Status

approved