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%I #4 Jan 18 2014 19:01:05
%S 81,292,292,1112,1068,1112,3760,3516,3516,3760,13716,11656,12686,
%T 11656,13716,46828,38700,32608,32608,38700,46828,169500,128920,103986,
%U 92392,103986,128920,169500,582300,429252,297316,258432,258432,297316,429252
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the difference of the maximum and minimum in each 2X2 subblock
%C Table starts
%C ......81......292.....1112.....3760.....13716.....46828....169500.....582300
%C .....292.....1068.....3516....11656.....38700....128920....429252....1429352
%C ....1112.....3516....12686....32608....103986....297316....981554....2710176
%C ....3760....11656....32608....92392....258432....741592...2124772....6124496
%C ...13716....38700...103986...258432....773442...1937236...5670054...14489552
%C ...46828...128920...297316...741592...1937236...5604400..14531028...38664192
%C ..169500...429252...981554..2124772...5670054..14531028..44834198..103052284
%C ..582300..1429352..2710176..6124496..14489552..38664192.103052284..289134368
%C .2096012..4757532..8760338.17547052..42828498.103940452.289710868..725386420
%C .7237244.15839544.24641412.50132124.109031092.281356668.714991524.1894909600
%H R. H. Hardin, <a href="/A236055/b236055.txt">Table of n, a(n) for n = 1..544</a>
%F Empirical for column k:
%F k=1: a(n) = 9*a(n-2) +4*a(n-3) +24*a(n-4) +12*a(n-5) +8*a(n-6) for n>8
%F k=2: a(n) = a(n-1) +4*a(n-2) +5*a(n-3) +21*a(n-4) +12*a(n-5) +4*a(n-6) for n>9
%F k=3: a(n) = 5*a(n-2) +42*a(n-4) -21*a(n-6) -207*a(n-8) for n>13
%F k=4: [order 13] for n>16
%F k=5: [order 26] for n>29
%F k=6: [order 34] for n>40
%F k=7: [order 56] for n>63
%e Some solutions for n=4 k=4
%e ..1..0..1..1..1....0..2..2..0..0....2..0..0..2..1....2..1..2..1..1
%e ..0..1..2..1..1....1..1..1..0..0....1..1..1..2..2....0..1..1..0..0
%e ..2..1..1..0..1....0..1..1..1..2....2..1..1..1..0....0..1..1..1..2
%e ..1..1..1..1..2....2..2..1..1..2....0..0..1..1..0....2..2..1..1..2
%e ..0..2..1..1..2....2..2..0..1..0....0..1..2..2..2....1..1..0..1..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 18 2014
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