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%I #4 Jan 18 2014 13:10:05
%S 88,508,508,2960,4568,2960,17464,41608,41608,17464,104112,389520,
%T 587908,389520,104112,626480,3726296,8623452,8623452,3726296,626480,
%U 3800832,36383144,130105204,199639388,130105204,36383144,3800832,23225504
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the minimum plus the maximum equal to the lower median plus the upper median in every 2X2 subblock
%C Table starts
%C ........88..........508............2960.............17464.............104112
%C .......508.........4568...........41608............389520............3726296
%C ......2960........41608..........587908...........8623452..........130105204
%C .....17464.......389520.........8623452.........199639388.........4771399876
%C ....104112......3726296.......130105204........4771399876.......180674993788
%C ....626480.....36383144......2020106076......118118574840......7110978545588
%C ...3800832....361779592.....32207456576.....3024782577128....290996000638180
%C ..23225504...3655701448....526051660468....79996751200984..12382726107599896
%C .142804544..37454598528...8776747793696..2178566815760276.546785387722649512
%C .882709824.388247972432.149126416376292.60872444688621924
%H R. H. Hardin, <a href="/A236009/b236009.txt">Table of n, a(n) for n = 1..97</a>
%F Empirical for column k:
%F k=1: a(n) = 16*a(n-1) -86*a(n-2) +156*a(n-3) +48*a(n-4) -256*a(n-5) -64*a(n-6)
%F k=2: [order 17]
%F k=3: [order 70]
%e Some solutions for n=2 k=4
%e ..0..1..0..1..1....0..3..2..1..0....0..2..1..2..3....0..2..2..3..1
%e ..0..1..0..1..1....2..1..2..1..0....3..1..2..3..2....0..2..2..1..3
%e ..1..2..1..2..2....0..3..0..3..2....2..2..1..0..1....0..2..2..1..3
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 18 2014
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