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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified December 1 08:34 EST 2021. Contains 349426 sequences. (Running on oeis4.)