A236875 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median minus the lower median of every 2X2 subblock equal

81, 287, 287, 1069, 1503, 1069, 4131, 8117, 8117, 4131, 16153, 46023, 61750, 46023, 16153, 63867, 260957, 499947, 499947, 260957, 63867, 253269, 1502355, 4012441, 5913287, 4012441, 1502355, 253269, 1008347, 8629071, 32940090, 68777909

Offset

1,1

Comments

Table starts

.......81........287.........1069...........4131............16153

......287.......1503.........8117..........46023...........260957

.....1069.......8117........61750.........499947..........4012441

.....4131......46023.......499947........5913287.........68777909

....16153.....260957......4012441.......68777909.......1152135751

....63867....1502355.....32940090......826928057......20189154641

...253269....8629071....268846043.....9850162103.....349860145439

..1008347...49869905...2216853503...119172787543....6195176587117

..4017129..287699673..18216556210..1434649920667..109117758402260

.16029051.1664594799.150477516769.17412329016137.1943713366918835

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 16]

k=2: [order 37]

k=3: [order 96]

Example

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

Crossrefs

Sequence in context: A206087 A236809 A236802 * A236868 A237375 A237368

Adjacent sequences: A236872 A236873 A236874 * A236876 A236877 A236878

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 01 2014

Status

approved