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%I #4 Nov 23 2013 16:27:54
%S 4,16,16,64,192,64,240,1632,1632,240,988,14592,33708,14592,988,3964,
%T 132980,650696,650696,132980,3964,15844,1222708,14465384,31127576,
%U 14465384,1222708,15844,63808,11215820,313201804,1595145428,1595145428
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or vertically
%C Table starts
%C .......4.........16.............64..............240................988
%C ......16........192...........1632............14592.............132980
%C ......64.......1632..........33708...........650696...........14465384
%C .....240......14592.........650696.........31127576.........1595145428
%C .....988.....132980.......14465384.......1595145428.......185475760412
%C ....3964....1222708......313201804......78230147672.....21459885565768
%C ...15844...11215820.....6514702216....3847288654852...2454572593671572
%C ...63808..102219940...139122934752..190729773692400.281383922814721980
%C ..256096..933038584..2976033930696.9418543950518992
%C .1029152.8540079344.63123128916304
%H R. H. Hardin, <a href="/A232431/b232431.txt">Table of n, a(n) for n = 1..84</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1) +10*a(n-2) +11*a(n-3) -a(n-4) -28*a(n-5) -32*a(n-6)
%F k=2: [order 21]
%F k=3: [order 55]
%e Some solutions for n=3 k=4
%e ..0..0..1..2..1....0..1..2..0..1....0..0..1..0..0....0..1..0..1..2
%e ..1..0..1..2..0....0..2..0..1..2....1..0..2..2..1....1..2..2..1..0
%e ..2..1..2..1..1....1..2..2..2..1....2..1..1..0..2....0..2..1..2..2
%e ..2..1..0..0..2....0..0..1..1..0....2..1..0..0..1....2..1..0..0..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Nov 23 2013
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