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%I #4 Feb 05 2014 05:41:02
%S 256,1416,1416,8238,14472,8238,50998,161598,161598,50998,324760,
%T 2006382,3460428,2006382,324760,2135910,25423162,84409628,84409628,
%U 25423162,2135910,14272968,338131394,2037318606,4161666604,2037318606,338131394
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock equal
%C Table starts
%C ......256........1416...........8238.............50998...............324760
%C .....1416.......14472.........161598...........2006382.............25423162
%C .....8238......161598........3460428..........84409628...........2037318606
%C ....50998.....2006382.......84409628........4161666604.........194556780556
%C ...324760....25423162.....2037318606......194556780556.......17019123155926
%C ..2135910...338131394....52300962414.....9987152949386.....1679338583744260
%C .14272968..4474548444..1301392331506...478478022593736...150228922070204060
%C .97077068.60750922148.33744588767732.24753454408306844.14957438198616004464
%H R. H. Hardin, <a href="/A237225/b237225.txt">Table of n, a(n) for n = 1..84</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 26]
%F k=2: [order 88]
%e Some solutions for n=2 k=4
%e ..0..0..1..0..3....0..0..1..1..1....0..0..1..3..2....0..0..3..3..3
%e ..1..0..0..2..0....2..0..3..2..1....0..2..1..2..3....0..3..3..3..0
%e ..1..1..0..1..0....3..1..0..1..3....1..3..3..1..3....3..3..2..3..3
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 05 2014