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%I #4 Jan 16 2014 08:49:49
%S 156,1584,1584,16228,42080,16228,166816,1133608,1133608,166816,
%T 1716484,30740652,80556656,30740652,1716484,17668128,835207356,
%U 5778908484,5778908484,835207356,17668128,181881988,22709045764,415698469568
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median unequal to the lower median in every 2X2 subblock
%C Table starts
%C ......156........1584..........16228............166816..............1716484
%C .....1584.......42080........1133608..........30740652............835207356
%C ....16228.....1133608.......80556656........5778908484.........415698469568
%C ...166816....30740652.....5778908484.....1099656771452......209981690279512
%C ..1716484...835207356...415698469568...209981690279512...106515130271657924
%C .17668128.22709045764.29937676955084.40159317967439332.54136683763799147676
%H R. H. Hardin, <a href="/A235849/b235849.txt">Table of n, a(n) for n = 1..84</a>
%F Empirical for column k:
%F k=1: a(n) = 14*a(n-1) -31*a(n-2) -94*a(n-3) +192*a(n-4) +192*a(n-5)
%F k=2: [order 15]
%F k=3: [order 55]
%e Some solutions for n=2 k=4
%e ..0..0..3..0..0....0..0..3..0..3....0..0..3..1..2....0..0..0..1..3
%e ..1..1..2..1..2....1..1..2..1..0....1..1..3..0..2....1..1..3..0..0
%e ..2..2..0..0..0....3..3..3..3..3....3..2..1..3..3....0..0..2..1..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 16 2014
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