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%I #4 Feb 16 2014 06:54:19
%S 256,1494,1494,7905,10014,7905,40442,59014,59014,40442,208210,357672,
%T 369068,357672,208210,1074202,2270776,2609908,2609908,2270776,1074202,
%U 5540337,14222512,20123780,25087700,20123780,14222512,5540337,28475040
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Table starts
%C .......256........1494.........7905..........40442...........208210
%C ......1494.......10014........59014.........357672..........2270776
%C ......7905.......59014.......369068........2609908.........20123780
%C .....40442......357672......2609908.......25087700........255374826
%C ....208210.....2270776.....20123780......255374826.......3450339192
%C ...1074202....14222512....149625960.....2480183866......43487194848
%C ...5540337....88114176...1103412332....24232087766.....564910605674
%C ..28475040...550642732...8201125448...242591959184....7417532096096
%C .146747184..3451069630..61392928964..2393881373820...95620736858354
%C .755218808.21560822458.454158172752.23436165715384.1224826491964084
%H R. H. Hardin, <a href="/A237974/b237974.txt">Table of n, a(n) for n = 1..180</a>
%F Empirical for column k:
%F k=1: a(n) = 488*a(n-4) +5140*a(n-6) +14624*a(n-8) +12288*a(n-10) for n>13
%F k=2: [order 17] for n>20
%F k=3: [order 48] for n>53
%e Some solutions for n=2 k=4
%e ..1..0..1..0..2....0..1..3..3..0....0..0..1..2..0....1..1..3..0..3
%e ..0..3..2..0..2....2..0..2..0..2....0..1..2..1..0....2..3..2..0..1
%e ..2..1..3..1..0....2..1..1..3..3....0..2..1..0..0....3..2..1..0..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 16 2014
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