A237494 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median minus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1728, 1728, 11960, 19288, 11960, 84000, 221512, 221512, 84000, 589944, 2584128, 4248736, 2584128, 589944, 4135648, 30171224, 82919944, 82919944, 30171224, 4135648, 28986208, 351706460, 1621147104, 2719193212, 1621147104

Offset

1,1

Comments

Table starts

........256.........1728..........11960..........84000..........589944

.......1728........19288.........221512........2584128........30171224

......11960.......221512........4248736.......82919944......1621147104

......84000......2584128.......82919944.....2719193212.....89364382296

.....589944.....30171224.....1621147104....89364382296...4939887793804

....4135648....351706460....31641923080..2932161164292.272584971093496

...28986208...4095080272...616331002428.95933647220152

..203229696..47706224548.12011356925024

.1425235712.556422733920

.9994034688

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 24] for n>27

k=2: [order 80] for n>82

Example

Some solutions for n=2 k=4
..0..1..0..2..0....0..1..2..1..2....0..0..2..1..0....0..2..0..0..0
..1..0..2..2..1....1..1..2..0..1....0..3..3..1..0....3..1..0..2..1
..3..1..1..0..1....2..2..0..2..2....2..1..0..0..2....0..3..2..1..0

Crossrefs

Sequence in context: A237169 A237936 A237931 * A237489 A238054 A238049

Adjacent sequences: A237491 A237492 A237493 * A237495 A237496 A237497

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 08 2014

Status

approved