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%I #4 Feb 03 2014 05:14:59
%S 81,255,255,826,1101,826,2823,5034,5034,2823,9815,25451,32336,25451,
%T 9815,34996,132095,243256,243256,132095,34996,125469,723774,1812742,
%U 2913981,1812742,723774,125469,457125,3983941,15086720,33501807,33501807
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock equal
%C Table starts
%C ......81.......255.........826...........2823.............9815
%C .....255......1101........5034..........25451...........132095
%C .....826......5034.......32336.........243256..........1812742
%C ....2823.....25451......243256........2913981.........33501807
%C ....9815....132095.....1812742.......33501807........541432879
%C ...34996....723774....15086720......454477716......11326961712
%C ..125469...3983941...119493128.....5566497747.....191474736979
%C ..457125..22797711..1047778362....80054821507....4316927906497
%C .1664894.129296092..8543176066..1006565794326...74651943281780
%C .6142099.756671245.77036901078.14930004573317.1774932657426997
%H R. H. Hardin, <a href="/A237067/b237067.txt">Table of n, a(n) for n = 1..180</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 13]
%F k=2: [order 23]
%F k=3: [order 64]
%e Some solutions for n=3 k=4
%e ..0..0..2..2..2....0..1..2..1..2....0..0..0..0..1....0..2..1..0..1
%e ..1..2..1..2..1....2..0..2..2..2....1..2..1..2..2....1..0..2..2..2
%e ..2..2..0..2..0....1..2..1..2..1....2..0..2..2..1....0..2..1..2..1
%e ..0..1..2..1..2....0..2..2..2..0....0..1..2..1..1....1..2..2..0..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 03 2014
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