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A238054
T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
6
256, 1760, 1760, 12352, 20732, 12352, 87488, 249664, 249664, 87488, 618752, 3029204, 5166560, 3029204, 618752, 4375552, 36751872, 107643264, 107643264, 36751872, 4375552, 30949952, 446229436, 2246142916, 3856575692, 2246142916
OFFSET
1,1
COMMENTS
Table starts
.........256.........1760..........12352...........87488..........618752
........1760........20732.........249664.........3029204........36751872
.......12352.......249664........5166560.......107643264......2246142916
.......87488......3029204......107643264......3856575692....138587835304
......618752.....36751872.....2246142916....138587835304...8592543470668
.....4375552....446229436....46940148128...4992665981296.534423833189632
....30949952...5413951288...978607916368.179067264236960
...218919168..65636758792.20366342381968
..1548259072.796414874192
.10950274048
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 20] for n>21
k=2: [order 60] for n>64
EXAMPLE
Some solutions for n=2 k=4
..0..2..1..1..0....0..0..2..0..2....0..2..0..0..3....0..0..0..2..1
..2..1..0..1..2....1..2..0..1..1....1..2..0..1..0....1..2..2..3..2
..0..1..1..0..2....0..3..0..1..2....0..3..0..1..3....0..1..0..3..3
CROSSREFS
Sequence in context: A237931 A237494 A237489 * A238049 A237785 A237780
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 17 2014
STATUS
approved