login
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
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 04 2014
STATUS
approved