A237544 T(n,k)=Number of (n+1)X(k+1) 0..3 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

256, 1888, 1888, 14208, 25280, 14208, 106496, 344128, 344128, 106496, 798208, 4672896, 8541016, 4672896, 798208, 5985280, 63456608, 211030720, 211030720, 63456608, 5985280, 44879872, 862467040, 5218152940, 9482488816, 5218152940

Offset

1,1

Comments

Table starts

.........256..........1888..........14208..........106496...........798208

........1888.........25280.........344128.........4672896.........63456608

.......14208........344128........8541016.......211030720.......5218152940

......106496.......4672896......211030720......9482488816.....426554989880

......798208......63456608.....5218152940....426554989880...34922994091800

.....5985280.....862467040...129193956304..19222160100656.2865493204313080

....44879872...11715351424..3195177788984.864777814816088

...336408576..159023453952.78931540544960

..2521595904.2159737999232

.18907365376

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: a(n) = 3120*a(n-4) +121600*a(n-8) +4931584*a(n-12) -10485760*a(n-16) for n>17

k=2: [order 48] for n>50

Example

Some solutions for n=2 k=4
..0..0..0..2..2....0..2..2..0..2....2..0..2..2..0....0..0..2..0..0
..1..1..0..2..1....3..0..0..1..1....3..0..0..3..3....1..1..0..0..1
..0..1..0..1..2....0..3..2..3..0....0..1..2..1..2....1..2..1..2..3

Crossrefs

Sequence in context: A237151 A237574 A237569 * A206752 A237539 A206745

Adjacent sequences: A237541 A237542 A237543 * A237545 A237546 A237547

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 09 2014

Status

approved