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

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

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