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

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Last modified May 25 12:30 EDT 2019. Contains 323568 sequences. (Running on oeis4.)