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%I #4 Nov 01 2013 07:09:33
%S 0,0,0,0,2,0,0,8,8,0,0,26,38,26,0,0,84,152,152,84,0,0,272,634,802,634,
%T 272,0,0,882,2676,4308,4308,2676,882,0,0,2862,11324,23614,30304,23614,
%U 11324,2862,0,0,9290,47954,130178,219696,219696,130178,47954,9290,0,0
%N T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero
%C Table starts
%C .0....0.....0......0........0.........0..........0...........0.............0
%C .0....2.....8.....26.......84.......272........882........2862..........9290
%C .0....8....38....152......634......2676......11324.......47954........203122
%C .0...26...152....802.....4308.....23614.....130178......718750.......3970738
%C .0...84...634...4308....30304....219696....1603356....11727974......85870504
%C .0..272..2676..23614...219696...2121666...20713786...202875672....1989694528
%C .0..882.11324.130178..1603356..20713786..271505344..3573938648...47146678686
%C .0.2862.47954.718750.11727974.202875672.3573938648.63341237848.1125893859526
%H R. H. Hardin, <a href="/A230910/b230910.txt">Table of n, a(n) for n = 1..180</a>
%F Empirical for column k:
%F k=2: a(n) = 5*a(n-1) -6*a(n-2) +a(n-3) for n>4
%F k=3: [order 8] for n>11
%F k=4: [order 28] for n>31
%F k=5: [order 89] for n>94
%e Some solutions for n=4 k=4
%e ..0..3..1..3....0..3..1..2....0..2..0..3....0..2..1..3....0..1..2..1
%e ..1..2..0..2....1..0..3..0....1..3..1..0....1..3..0..2....2..0..3..2
%e ..0..1..3..0....2..1..2..1....2..0..2..3....0..2..1..0....3..2..1..0
%e ..3..2..1..3....3..0..3..0....1..3..1..2....3..0..2..3....1..0..2..3
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_, Nov 01 2013
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