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A236997
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
9
81, 360, 360, 1600, 2376, 1600, 7200, 15552, 15552, 7200, 32400, 104976, 149632, 104976, 32400, 144000, 699840, 1513728, 1513728, 699840, 144000, 640000, 4618944, 14963200, 23825664, 14963200, 4618944, 640000, 2880000, 30233088, 145732608
OFFSET
1,1
COMMENTS
Table starts
.......81........360..........1600............7200.............32400
......360.......2376.........15552..........104976............699840
.....1600......15552........149632.........1513728..........14963200
.....7200.....104976.......1513728........23825664.........363916800
....32400.....699840......14963200.......363916800........8552563200
...144000....4618944.....145732608......5454273024......192222720000
...640000...30233088....1406076928.....80675315712.....4279521280000
..2880000..204073344...14212288512...1304215105536...109212364800000
.12960000.1360488960..140607692800..20389194547200..2683631554560000
.57600000.8979227136.1372136620032.312112856088576.62224920576000000
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 400*a(n-4)
k=2: a(n) = 1944*a(n-4)
k=3: a(n) = 10*a(n-1) +8704*a(n-4) -87040*a(n-5)
k=4: a(n) = 158112*a(n-4) -7941224448*a(n-8) +124128835928064*a(n-12)
k=5: [order 16]
k=6: [order 17]
k=7: [order 15]
EXAMPLE
Some solutions for n=3 k=4
..0..0..0..1..0....0..0..0..1..2....0..0..1..1..2....0..0..1..1..0
..2..1..1..1..0....0..2..1..2..0....2..1..0..1..2....2..1..0..1..2
..2..1..0..2..2....0..1..2..0..0....1..0..0..1..1....1..0..2..1..1
..2..0..1..2..2....2..1..1..1..0....0..0..0..0..0....0..2..0..0..2
CROSSREFS
Sequence in context: A237723 A237472 A237465 * A236065 A206676 A205520
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 02 2014
STATUS
approved