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

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

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