%I #5 Mar 31 2012 12:37:05
%S 256,2504,2504,23244,87912,23244,177050,2940732,2940732,177050,
%T 1284356,77255835,390106512,77255835,1284356,8458978,1905682493,
%U 39435964246,39435964246,1905682493,8458978,53679123,40440032498,3697283479275
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing
%C Table starts
%C .......256.........2504...........23244...........177050..........1284356
%C ......2504........87912.........2940732.........77255835.......1905682493
%C .....23244......2940732.......390106512......39435964246....3697283479275
%C ....177050.....77255835.....39435964246...16272143720320.6208409977276051
%C ...1284356...1905682493...3697283479275.6208409977276051
%C ...8458978..40440032498.284242642223529
%C ..53679123.815438067758
%C .323510768
%H R. H. Hardin, <a href="/A205277/b205277.txt">Table of n, a(n) for n = 1..39</a>
%e Some solutions for n=4 k=3
%e ..0..0..1..0....0..1..0..0....2..0..0..0....2..3..0..1....1..0..0..0
%e ..3..2..1..2....0..2..0..0....0..0..3..3....0..0..0..2....0..0..2..1
%e ..0..0..3..1....0..3..0..1....2..3..0..3....1..1..3..2....0..1..3..1
%e ..3..2..1..3....0..3..0..1....0..2..0..2....0..3..3..0....3..3..1..1
%e ..2..3..1..3....0..1..0..1....2..3..0..0....1..3..2..1....3..0..1..0
%Y Column 1 is A205174
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 24 2012
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