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A237249 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median minus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one 8
81, 344, 344, 1488, 2064, 1488, 6496, 12600, 12600, 6496, 28176, 78420, 108652, 78420, 28176, 121088, 477144, 974864, 974864, 477144, 121088, 523776, 2908188, 8433384, 12987512, 8433384, 2908188, 523776, 2286592, 17766000, 72877504 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......81........344.........1488...........6496............28176

......344.......2064........12600..........78420...........477144

.....1488......12600.......108652.........974864..........8433384

.....6496......78420.......974864.......12987512........163330432

....28176.....477144......8433384......163330432.......2917434432

...121088....2908188.....72877504.....2059810392......51846897952

...523776...17766000....629104640....26060799904.....936224849104

..2286592..110572200...5642567936...355097523776...18672666559360

..9917952..672773040..48822536832..4532945330880..339066019397152

.42622976.4100545080.421991535616.57916057781984.6092798602997504

LINKS

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

FORMULA

Empirical for column k:

k=1: a(n) = 352*a(n-4) for n>5

k=2: a(n) = 1410*a(n-4) for n>6

k=3: a(n) = 11576*a(n-4) -33493888*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..0..0..0..1....0..0..1..0..0....0..2..0..1..2....0..0..0..0..2

..2..0..1..1..1....1..0..1..1..1....0..2..1..0..2....1..1..2..0..1

..0..1..0..1..1....1..2..0..2..1....1..0..1..1..1....0..1..0..1..2

..1..2..0..1..0....0..2..2..1..0....2..1..1..1..2....0..1..1..2..2

CROSSREFS

Sequence in context: A180090 A217967 A237384 * A236096 A237377 A237242

Adjacent sequences:  A237246 A237247 A237248 * A237250 A237251 A237252

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 05 2014

STATUS

approved

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Last modified April 10 02:20 EDT 2020. Contains 333392 sequences. (Running on oeis4.)