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R. H. Hardin, <a href="/A236828/b236828.txt">Table of n, a(n) for n = 1..144</a>

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T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the minimum minus the lower median of every 2X2 subblock equal

81, 327, 327, 1386, 2211, 1386, 6093, 15254, 15254, 6093, 27079, 109205, 168564, 109205, 27079, 121590, 786609, 1949236, 1949236, 786609, 121590, 549173, 5747502, 22695802, 36874967, 22695802, 5747502, 549173, 2495215, 42215123, 269108894

1,1

Table starts

.......81.........327..........1386.............6093..............27079

......327........2211.........15254...........109205.............786609

.....1386.......15254........168564..........1949236...........22695802

.....6093......109205.......1949236.........36874967..........701424751

....27079......786609......22695802........701424751........21755065689

...121590.....5747502.....269108894......13643698414.......692297987804

...549173....42215123....3207539588.....266389315989.....22074170878628

..2495215...312592339...38599508572....5258599354623....712496076337427

.11389842..2324534826..466275664500..104078580277828..23029391418201045

.52223381.17376767995.5664487537556.2072356525693189.749146158534878661

Empirical for column k:

k=1: [linear recurrence of order 14]

k=2: [order 30]

k=3: [order 84]

Some solutions for n=3 k=4

..0..0..2..0..2....0..0..1..2..2....0..0..0..1..0....0..0..2..0..1

..0..1..1..1..1....0..1..0..1..0....1..0..1..0..0....0..2..0..2..0

..1..2..0..0..2....0..1..0..0..1....1..2..1..0..1....0..0..2..0..2

..2..2..1..1..1....1..2..1..1..0....1..0..1..0..1....2..0..0..2..0

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nonn,tabl

R. H. Hardin, Jan 31 2014

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