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%I #8 Jan 27 2013 02:22:12
%S 19683,317115,317115,5109075,9957573,5109075,82312875,313250283,
%T 313250283,82312875,1033357725,9626194591,19192412328,9626194591,
%U 1033357725,12972796635,205142945972,1114156913743,1114156913743
%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with 3X3 subblock sums nondecreasing rightwards and downwards.
%C Table starts
%C ........19683........317115........5109075........82312875.....1033357725
%C .......317115.......9957573......313250283......9626194591...205142945972
%C ......5109075.....313250283....19192412328...1114156913743.40638068592052
%C .....82312875....9626194591..1114156913743.117244058006472
%C ...1033357725..205142945972.40638068592052
%C ..12972796635.4375747771546
%C .162860787181
%H R. H. Hardin, <a href="/A186625/b186625.txt">Table of n, a(n) for n = 1..31</a>
%e Some solutions for 5X4
%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%e ..0..0..1..1....1..0..1..2....0..0..0..2....0..0..0..2....1..0..2..2
%e ..1..0..1..2....1..0..1..1....2..1..0..0....1..0..2..2....1..0..0..1
%e ..0..1..2..1....2..1..2..1....1..2..0..1....2..2..2..2....1..0..1..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 24 2011