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

Author

R. H. Hardin, Jan 31 2014

Keywords

• nonn
• tabl

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

Examples

			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
		

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]