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%I #4 Feb 03 2014 06:01:45
%S 81,303,303,1178,1735,1178,4783,10466,10466,4783,19735,66831,95954,
%T 66831,19735,83052,428497,944850,944850,428497,83052,352077,2832722,
%U 9188374,14756791,9188374,2832722,352077,1509309,18682733,93666930,223026701
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock equal
%C Table starts
%C .......81........303..........1178............4783.............19735
%C ......303.......1735.........10466...........66831............428497
%C .....1178......10466.........95954..........944850...........9188374
%C .....4783......66831........944850........14756791.........223026701
%C ....19735.....428497.......9188374.......223026701........5118051860
%C ....83052....2832722......93666930......3632023790......129616164248
%C ...352077...18682733.....938845280.....56768589375.....3075529728707
%C ..1509309..125843583....9750633426....943735196093....79508538658723
%C ..6498030..844258374...99519840956..15036281517264..1923687881420041
%C .28174611.5747581507.1043306362002.252233217483293.50184858611822070
%H R. H. Hardin, <a href="/A237099/b237099.txt">Table of n, a(n) for n = 1..179</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 11]
%F k=2: [order 26]
%F k=3: [order 68]
%e Some solutions for n=3 k=4
%e ..0..0..0..1..0....0..0..0..0..0....0..0..0..0..0....0..1..0..0..2
%e ..2..1..2..0..0....0..1..0..1..2....2..1..0..1..2....0..0..2..1..0
%e ..2..0..0..1..2....2..0..0..2..1....1..2..2..0..0....0..1..2..1..1
%e ..2..1..0..2..0....1..0..1..0..0....2..1..0..1..2....2..2..1..2..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 03 2014
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