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%I #4 Feb 08 2014 05:57:31
%S 81,308,308,1144,1376,1144,4272,5938,5938,4272,16280,25974,27915,
%T 25974,16280,61152,113324,125998,125998,113324,61152,231680,496942,
%U 578435,594190,578435,496942,231680,869120,2183186,2683716,2864838,2864838
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Table starts
%C .......81.......308.......1144.......4272.......16280........61152
%C ......308......1376.......5938......25974......113324.......496942
%C .....1144......5938......27915.....125998......578435......2683716
%C .....4272.....25974.....125998.....594190.....2864838.....14469792
%C ....16280....113324.....578435....2864838....14411725.....76965324
%C ....61152....496942....2683716...14469792....76965324....459648432
%C ...231680...2183186...12536462...71637702...395458926...2568519258
%C ...869120...9577336...57585440..345945382..1940632168..13683327428
%C ..3299584..41971324..267621076.1692387998..9857379954..75596096370
%C .12382208.184102474.1237416868.8423481016.51307932252.437088214352
%H R. H. Hardin, <a href="/A237463/b237463.txt">Table of n, a(n) for n = 1..180</a>
%F Empirical for column k:
%F k=1: a(n) = 136*a(n-4) +832*a(n-6) +1600*a(n-8) +1024*a(n-10)
%F k=2: [order 19]
%F k=3: [order 70] for n>73
%e Some solutions for n=3 k=4
%e ..0..0..1..0..2....1..2..1..2..2....1..1..2..0..1....1..0..0..1..1
%e ..2..2..1..1..2....2..0..0..2..1....1..1..2..2..2....0..0..0..0..1
%e ..1..0..0..2..2....1..0..1..0..2....2..0..0..1..2....2..1..0..2..2
%e ..2..0..1..0..1....1..0..2..2..2....0..1..1..1..2....1..1..1..1..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 08 2014
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