A236809 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 equal

81, 277, 277, 1033, 1435, 1033, 4183, 8825, 8825, 4183, 17481, 60187, 85929, 60187, 17481, 75907, 410305, 929447, 929447, 410305, 75907, 330433, 2926867, 9558409, 16530709, 9558409, 2926867, 330433, 1468723, 20377961, 107087939, 270610375

Offset

1,1

Comments

Table starts

.......81........277..........1033............4183..............17481

......277.......1435..........8825...........60187.............410305

.....1033.......8825.........85929..........929447............9558409

.....4183......60187........929447........16530709..........270610375

....17481.....410305.......9558409.......270610375.........6612746409

....75907....2926867.....107087939......5140896385.......203606804707

...330433...20377961....1117775361.....86863046591......5094225962785

..1468723..147734251...12821027315...1730194335025....167431587932179

..6479721.1039350577..135199336873..29809824906343...4238424064205001

.29026267.7613312515.1580326999835.613527734331097.146743496294875195

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: a(n) = 5*a(n-1) +20*a(n-2) -130*a(n-3) +36*a(n-4) +600*a(n-5) -720*a(n-6)

k=2: [order 10]

k=3: [order 11]

k=4: [order 13]

k=5: [order 13]

k=6: [order 17]

k=7: [order 16]

Example

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

Crossrefs

Sequence in context: A202333 A207042 A206087 * A236802 A236875 A236868

Adjacent sequences: A236806 A236807 A236808 * A236810 A236811 A236812

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 31 2014

Status

approved