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

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

R. H. Hardin, Table of n, a(n) for n = 1..60

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

Adjacent sequences: A238051 A238052 A238053 * A238055 A238056 A238057

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 17 2014

Status

approved