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

R. H. Hardin, Table of n, a(n) for n = 1..364

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

Adjacent sequences:  A236994 A236995 A236996 * A236998 A236999 A237000

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 02 2014

STATUS

approved

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Last modified October 17 21:17 EDT 2021. Contains 348065 sequences. (Running on oeis4.)