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R. H. Hardin, <a href="/A237494/b237494.txt">Table of n, a(n) for n = 1..60</a>

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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

1,1

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

Empirical for column k:

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

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

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

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nonn,tabl

R. H. Hardin, Feb 08 2014

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