A236669 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock

81, 452, 452, 2608, 3720, 2608, 14760, 30352, 30352, 14760, 84948, 250708, 368090, 250708, 84948, 484400, 2079296, 4434788, 4434788, 2079296, 484400, 2771648, 17174856, 55108806, 82202172, 55108806, 17174856, 2771648, 15802528, 141244420

Offset

1,1

Comments

Table starts

........81.........452...........2608...........14760...........84948

.......452........3720..........30352..........250708.........2079296

......2608.......30352.........368090.........4434788........55108806

.....14760......250708........4434788........82202172......1533811128

.....84948.....2079296.......55108806......1533811128.....44409371442

....484400....17174856......664310024.....28390507456...1243675317240

...2771648...141244420.....8131629834....520848836744..35244374739432

..15802528..1164128912....98186159604...9689359336344.998449131759624

..90361616..9621726624..1210293445866.180751835666464

.516384576.79482813380.14656239076752

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Formula

Empirical for column k:

k=1: a(n) = 2*a(n-1) +436*a(n-4) +888*a(n-5) +2304*a(n-6) +5760*a(n-7)

k=2: [order 15]

Example

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

Crossrefs

Sequence in context: A204223 A205215 A206223 * A205208 A236664 A253533

Adjacent sequences: A236666 A236667 A236668 * A236670 A236671 A236672

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 29 2014

Status

approved