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%I #4 Feb 03 2014 06:20:02
%S 81,385,385,1881,3787,1881,9491,39235,39235,9491,48569,435113,848549,
%T 435113,48569,252415,4975145,20079181,20079181,4975145,252415,1324297,
%U 58074637,485177201,1032827165,485177201,58074637,1324297,7013479
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum minus the upper median of every 2X2 subblock equal
%C Table starts
%C .......81.........385............1881...............9491.................48569
%C ......385........3787...........39235.............435113...............4975145
%C .....1881.......39235..........848549...........20079181.............485177201
%C .....9491......435113........20079181.........1032827165...........53528626069
%C ....48569.....4975145.......485177201........53528626069.........5870133564899
%C ...252415....58074637.....11899510847......2808787399965.......651822582383487
%C ..1324297...685334343....293281801479....147635666660707.....72365031298763069
%C ..7013479..8138935643...7246691140947...7771739485974973...8045311769065304851
%C .37376009.96985032775.179233623871063.409254548407433443.894539155590606377951
%H R. H. Hardin, <a href="/A237108/b237108.txt">Table of n, a(n) for n = 1..180</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 11]
%F k=2: [order 23]
%F k=3: [order 54]
%e Some solutions for n=2 k=4
%e ..0..2..2..2..1....0..1..0..1..1....0..2..1..2..2....0..2..0..1..2
%e ..0..2..2..2..0....2..2..2..2..2....0..2..2..2..0....1..2..2..2..0
%e ..2..1..2..1..2....1..0..0..1..0....2..1..0..0..2....2..2..2..2..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 03 2014
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