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A237167 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock equal 9
81, 245, 245, 777, 997, 777, 2597, 4365, 4365, 2597, 8961, 20669, 25705, 20669, 8961, 31837, 102265, 165317, 165317, 102265, 31837, 115561, 525809, 1096689, 1470317, 1096689, 525809, 115561, 427093, 2783881, 7519165, 13373885, 13373885, 7519165 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......81.......245.........777..........2597...........8961............31837

.....245.......997........4365.........20669.........102265...........525809

.....777......4365.......25705........165317........1096689..........7519165

....2597.....20669......165317.......1470317.......13373885........126858645

....8961....102265.....1096689......13373885......162748369.......2072721981

...31837....525809.....7519165.....126858645.....2072721981......36060137413

..115561...2783881....52597313....1234905853....26807862753.....634189439561

..427093..15103101...374547449...12370941453...355704138649...11585807404557

.1600465..83563325..2703084433..127000947377..4803893151225..217053368329433

.6064925.469820341.19737083525.1334978964337.66107444542473.4199505368448321

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 9]

k=2: [order 16]

k=3: [order 30]

k=4: [order 59]

EXAMPLE

Some solutions for n=3 k=4

..0..2..2..2..1....0..0..1..1..1....1..1..2..1..1....0..2..1..1..2

..1..2..1..2..2....1..1..0..0..2....2..2..1..0..0....1..1..0..2..1

..0..2..2..2..1....0..2..1..1..1....1..1..0..1..1....0..2..1..1..0

..1..2..1..2..2....1..1..2..2..2....2..2..1..2..2....2..0..1..1..0

CROSSREFS

Sequence in context: A008876 A031456 A045009 * A236893 A044986 A237160

Adjacent sequences:  A237164 A237165 A237166 * A237168 A237169 A237170

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 04 2014

STATUS

approved

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Last modified August 15 16:57 EDT 2022. Contains 356148 sequences. (Running on oeis4.)