%I #5 Mar 31 2012 12:36:53
%S 3,6,6,12,52,12,24,352,352,24,48,2444,8460,2444,48,96,17508,194636,
%T 194636,17508,96,192,124340,4439916,14394092,4439916,124340,192,384,
%U 872940,100236532,1032147416,1032147416,100236532,872940,384,768,6112832
%N T(n,k)=Number of nXk 0..2 arrays with adjacent row and column sums unequal
%C Table starts
%C ....3........6..........12............24.............48.............96
%C ....6.......52.........352..........2444..........17508.........124340
%C ...12......352........8460........194636........4439916......100236532
%C ...24.....2444......194636......14394092.....1032147416....72961197604
%C ...48....17508.....4439916....1032147416...231197740500.50721408178292
%C ...96...124340...100236532...72961197604.50721408178292
%C ..192...872940..2247406834.5108912536716
%C ..384..6112832.50175952564
%C ..768.42822036
%C .1536
%H R. H. Hardin, <a href="/A202931/b202931.txt">Table of n, a(n) for n = 1..60</a>
%e Some solutions for n=4 k=3
%e ..0..0..1....0..2..1....0..2..1....0..2..0....0..1..2....1..0..2....0..2..1
%e ..1..1..1....1..1..2....1..2..2....2..0..1....0..0..0....2..1..1....2..2..1
%e ..2..0..2....0..2..0....2..1..0....2..2..2....0..1..1....0..2..0....0..1..1
%e ..1..0..2....2..2..2....0..0..1....0..2..0....2..1..1....0..1..0....0..1..2
%Y Diagonal is A202649
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Dec 26 2011