A237384 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

81, 344, 344, 1472, 2064, 1472, 6368, 12408, 12408, 6368, 27280, 76188, 104248, 76188, 27280, 115584, 455160, 912912, 912912, 455160, 115584, 494592, 2721900, 7660840, 11767448, 7660840, 2721900, 494592, 2139648, 16378560, 64312576

Offset

1,1

Comments

Table starts

.......81........344.........1472...........6368............27280

......344.......2064........12408..........76188...........455160

.....1472......12408.......104248.........912912..........7660840

.....6368......76188.......912912.......11767448........141627680

....27280.....455160......7660840......141627680.......2375768088

...115584....2721900.....64312576.....1709556016......39693722016

...494592...16378560....541081120....20834106592.....680588692128

..2139648..100568160...4737777088...274803913264...12934636122240

..9166080..600811200..39760171616..3352960252480..219580118935904

.38836224.3592908000.333806884096.40937682523424.3692772114256256

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: a(n) = 336*a(n-4) for n>5

k=2: a(n) = 1320*a(n-4) for n>6

k=3: a(n) = 10380*a(n-4) -26935616*a(n-8) for n>11

k=4: [order 16] for n>20

k=5: [order 36] for n>41

Example

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

Crossrefs

Sequence in context: A128607 A180090 A217967 * A237249 A236096 A237377

Adjacent sequences: A237381 A237382 A237383 * A237385 A237386 A237387

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 07 2014

Status

approved