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R. H. Hardin, <a href="/A237398/b237398.txt">Table of n, a(n) for n = 1..97</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 of every 2X2 subblock equal

256, 1314, 1314, 7172, 11988, 7172, 41062, 114034, 114034, 41062, 239176, 1153778, 1794402, 1153778, 239176, 1413864, 11725568, 30590608, 30590608, 11725568, 1413864, 8412540, 121195320, 514064312, 902019154, 514064312, 121195320

1,1

Table starts

.......256.........1314...........7172.............41062..............239176

......1314........11988.........114034...........1153778............11725568

......7172.......114034........1794402..........30590608...........514064312

.....41062......1153778.......30590608.........902019154.........25829139276

....239176.....11725568......514064312.......25829139276.......1235023110530

...1413864....121195320.....8872195706......769041196608......62405831529234

...8412540...1254144270...152180119484....22613650645686....3084781518411320

..50339772..13055041806..2639996468928...676946049444764..156724811087291634

.302048100.135960274878.45688402987094.20153268873982042.7881021180947620852

Empirical for column k:

k=1: [linear recurrence of order 38]

k=2: [order 97]

Some solutions for n=2 k=4

..0..2..3..3..2....0..2..3..1..3....0..2..3..1..2....0..0..3..2..2

..1..3..0..2..3....1..3..1..2..1....2..1..2..2..0....1..2..2..1..3

..0..2..3..3..2....3..2..3..0..3....0..2..3..1..2....2..3..0..0..1

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nonn,tabl

R. H. Hardin, Feb 07 2014

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