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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified May 24 14:36 EDT 2022. Contains 354037 sequences. (Running on oeis4.)